In the diagram below, AB is parallel to CD. What is the value of y?

In The Diagram Below, AB Is Parallel To CD. What Is The Value Of Y?

Answers

Answer 1

Answer:

The answer is option C.

Step-by-step explanation:

Alternate angles are equal y is alternate to 60° so y is 60°

Hope this helps you

Answer 2

Answer:) hope this helps

60

Step-by-step explanation:) hope this helps

C. 60


Related Questions

What is the name of the map maker who, according to some, gave Venezuela its name? Salvador Dali Christopher Colombus Amerigo Vespucci Leonardo Da Vinci

Answers

The answer is C. Amerigo Vespucci

Explanation:

Venezuela is a South-American country that was first discovered and colonized by Spanish explorers. This process included multiple expeditions that allowed colonizers to better understand the features of the territory and native people. One of these expeditions that took place in 1499, included the Italian mapmaker, Amerigo Vespucci. About this, it is claimed he considered the territory and the houses found near a lake resemble Venice, and due to this, he named the territory as "Veneziola", which later changed to the modern name Venezuela.

Answer:

c c a d c

Step-by-step explanation:

answers to the quiz edge got 100% source trust bro

Approximate the stationary matrix S for the transition matrix P by computing powers of the transition matrix P. Pequalsleft bracket Start 2 By 2 Matrix 1st Row 1st Column 0.38 2nd Column 0.62 2nd Row 1st Column 0.24 2nd Column 0.76 EndMatrix right bracket

Answers

Answer:

The stationary matrix is:

S = [0.2791, 0.7209]

Step-by-step explanation:

The transition matrix, P is:

[tex]P=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]

The stationary matrix S for the transition matrix P would be obtained by computing k powers of P until all the two rows of P are identical.

Compute P² as follows:

[tex]P^{2}=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]

    [tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right][/tex]

Compute P³ as follows:

[tex]P^{3}=P^{2}\times P[/tex]

    [tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right][/tex]

Compute P⁴ as follows:

[tex]P^{4}=P^{3}\times P[/tex]

    [tex]=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right][/tex]

Compute P⁵ as follows:

[tex]P^{5}=P^{4}\times P[/tex]

    [tex]=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2791&0.7209\\0.2791&0.7209\end{array}\right][/tex]

For k = 5, we get both the rows identical.

The stationary matrix is:

S = [0.2791, 0.7209]

what's the best prouduct of these fractions 4/7×8/9×14/15​

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

448/945

▹ Step-by-Step Explanation

[tex]\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}[/tex]

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

4/7×8/9×14/15

= 64/135

the ratio 2.5m to 60cm can be written in the form 1:n find the value of n. someone please help asap

Answers

Answer:

1 : 6/25

Step-by-step explanation:

Convert 2.5 meters to cm

We know 100 cm = 1m

2.5 m * 100cm / 1m = 250 cm

250 cm : 60 cm

Divide by 250

250/250 = 60/250

1 : 6/25

or as a decimal

1 :  .24

A box plot is shown below: *check file attached* What is the median and Q1 of the data set represented on the plot? A. Median = 30; Q1 = 20 B. Median = 33; Q1 = 20 C. Median = 30; Q1 = 25 D. Median = 33; Q1 = 25

Answers

Hey there! I'm happy to help!

A box and whisker plot is a super useful tool for finding these kinds of data!

The ends of the whiskers represent the maximum and minimum point in the data set. With this plot, we can immediately see that the maximum is 44 and the minimum is 20.

Then, we have a box. The edges of the box represent the 1st and 3rd quartiles. The 1st quartile is the median or middle of the first half of the data set and the 3rd quartile is the median of the second half. We see that the 1st quartile is 25 because the left edge of the box aligns with 25. The 3rd quartile is 39 by looking at the plot.

The median is the middle number of the data set. The median is represented by the line that splits the box. We see that the median is 33 by looking at the plot.

So, by interpreting the box and whisker plot, we see that the answer is D. Median=33; Q1=25.

Now you can interpret box and whisker plots! Have a wonderful day! :D

On a block of ten houses, k are not insured. a tornado randomly damages three houses on the block. the probability that none of the damaged houses are insured is 1/120. calculate the probability that at most one of the damaged houses is insured.

Answers

Answer:

[tex]P=0.1833[/tex]

Step-by-step explanation:

The number of ways or combinations in which we can choose x elements from a group of n is calculated as:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

So, the probability that none of the damaged houses are insured can be calculated as:

[tex]\frac{kC3}{10C3}=\frac{kC3}{120}[/tex]

Because there are 120 ways to select 3 houses from the block of 10 houses and there are kC3 ways to select 3 houses from a group of k houses that are not insured.

The probability that none of the damaged houses are insured is 1/120, so:

[tex]\frac{kC3}{120}=\frac{1}{120}\\ kC3=1[/tex]

kC3 is equal to 1, only if k is equal to 3. It means that there are 3 houses that are not insured.

Then, the probability that one of the damaged houses is insured can be calculated as:

[tex]\frac{3C2*7C1}{10C3}=0.175[/tex]

Because we select 2 houses from the 3 that are not insured and select 1 house from the 7 that are insured.

Finally, the probability that at most one of the damaged houses is insured is equal to the sum of the probability that one of the damaged houses is insured and the probability that none of the damaged houses is insured. It is equal to:

[tex]P=\frac{1}{120}+0.175=0.1833[/tex]

The graphs below have the same shape.What is the equation of the red graph ?

Answers

Answer:

B. G(x) = x³ - 5

Step-by-step explanation:

The graphs below are the same shape. They share the same formula but different y-intercepts.

F(x) = x³ has a y-intercept of 0.

F(x) = x³ + 0

G(x) has a y-intercept of -5.

G(x) = x³ - 5

Answer:

x^3 - 5

Step-by-step explanation:

wILL GIVE BRAINLIST Examine the diagram and information to answer the question. A circle in the coordinate plane has a radius of 6 and a center at the point (3,2). Point (x,y) lies on the circle. The triangle formed by points (3,2), (x,2) and (x,y) is a right triangle. What is the equation of the circle? Match the expression or equation to the steps used to find the equation of the circle.

Step 1: Find the length of the vertical leg of the right triangle

Step 2: Find the length of the horizontal leg of the right triangle.

Step 3: Use the Pythagorean Theorem to find the equation of the circle


answERS:
(x−3)2+(y−2)2=6^2
(x−2)2+(y−3)2=6^2
|y−3|
|y−2|
|x−3|
|x−2|

Answers

Answer:  To find the equation of the circle, it is not necessary to find the legs of the triangle first.  

The length of the legs (equal) is 3√2 or  4.243

Step-by-step explanation:

The equation for a circle is similar to the Pythagorean Theorem

       a²   +   b²     = c²

( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

The a and b terms are  changed to allow insertion of  h and k to locate the center of the circle on a Cartesian plane.

You can get the information needed from

Given: radius =6 and  "a center at the point (3,2)"

Substitute  3 for h and  2 for k  and  6 for r

( x - 3 )² + ( y - 2 )² = 6²    This is the equation of the circle .

From the diagram, it appears that x-3 = y-2

So, in the equation, we can substitute 2(x²) = 36

x² = 36/2 .   x² = 18

√x² = √18 = √9(2)

x = 3√2   =4.2426

the length of the horizontal leg is 4.243

Substitute for x in to find  x+3  the coordinate (x,2)

the coordinate x, 2 is  (7.24, 2)

Substitute for y in to find  y+2, the length of the vertical leg is 4.243.

y + 2 = 6.243  

So the coordinate (x,y) on the circle is (7.24, 6.24)

This does not account for Step 1 and  Step 2 in the question, matching expressions or equations to the steps. I hope you will be able to sort that our with the information here.

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2. What is the volume of the pyramid?

Answers

This question is incomplete. Find attached to this answer the required diagram.

Answer:

16√3 cm³

Step-by-step explanation:

Volume of a pyramid = 1/3 × Base area × Height

The base area is given as 12√3 cm²

But the height is not given

From the attached diagram an angle was given

Using Trigonometric function of Tangent

tan = Opposite/Adjacent

Opposite = Height of the pyramid

Adjacent = base length of the pyramid = 4√3

Hence,

tan 30° = opposite/4√3

Cross multiply

Opposite = tan 30° × 4√3

Opposite = Height of the pyramid = 4 cm

Volume of a pyramid = 1/3 × Base area × Height

= 1/3 × 12√3 × 4

= 16√3 cm³

Answer:

B. 16√3 cm³

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!

Find the value of x^3 + y^3 + 12xy – 64, when x +y = 4

Answers

Answer:

0

Step-by-step explanation:

Using the algebraic identity

(x + y)³ = x³ + y³ + 3xy(x + y) ← substitute x + y = 4

4³ = x³ + y³ + 12xy , that is

x³ + y³ + 12xy = 64 ( subtract 64 from both sides )

x³ + y³ + 12xy - 64 = 0

Answer:

the answer is zero

Step-by-step explanation:

x^3 + y^3 + 12xy – 64 factorize the polynomial

x^3+y^3-4^3+3(4xy)      64 is 4^3

take x+y-4 as a common factor

(x+y-4)(x^2-xy+4x+y^2+4y+16) substitute x+y=4

(4-4)(x^2+y^2-4^2-3xy)

=0 any amount multiply by zero =0

Please help! If P(A)=0.2 and P(A and B)=0.12, and P(A or B)=0.68, what is P(B)?

0.8
0.08
0.6
0.06

Answers

Answer:

P(B) = 0.6

Step-by-step explanation:

P(A and B) = P(A) * P(B)

0.12 = 0.2 * P(B)

P(B) = 0.6

P(A or B) = P(A) + P(B) - P(A and B)

0.68 = 0.2 + P(B) - (0.12)

P(B) = 0.6

What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.

Answers

Answer:

2

Step-by-step explanation:

1/2+1/3+1/4 - 0.9

0.9 = 9/10

So, 1/2+1/3+1/4+9/10

The LCD is 60:

30/60+20/60+15/60+54/60 = 120/60

120/60 = 2

PLEASE MARK ME BRAINLIEST!

Answer:

2

Step-by-step explanation:

Which option or options is correct?

Answers

All of them are true.

A: Rule.

B: There exist such functions f and g that satisfy the equality.

C: According to (A) this is acceptable.

D: Rule.

Hope this helps.

Answer:

D part

Step-by-step explanation:

What is the expression for f(x) when we rewrite (1/49)^x * (1/7)^(6x+11) as (1/7)^(f(x))?

Answers

Answer:

f(x)=8x+11

Step-by-step explanation:

The expression for f(x) is 8x+11.

What is an equivalent expression?

An equivalent expression is an expression that has the same value but does not look the same. When you simplify an expression, you're basically trying to write it in the simplest way possible.

For the given situation,

The expression (1/49)^x * (1/7)^(6x+11)

[tex][(\frac{1}{49} )^x] [ (\frac{1}{7} )^{(6x+11) }][/tex]

⇒ [tex][(\frac{1}{7^{2} } )^x] [ (\frac{1}{7} )^{(6x+11) }][/tex]

⇒ [tex][(\frac{1}{7} )^{2x} ] [ (\frac{1}{7} )^{(6x+11) }][/tex]

⇒ [tex]\frac{1}{7} ^{(2x+6x+11)}[/tex]                 [∵ [tex][a^{n}][a^{m} ] = a^{n+m}[/tex]]

⇒ [tex]\frac{1}{7} ^{(8x+11)}[/tex]

On comparing this expression with [tex]\frac{1}{7} ^{f(x)}[/tex],

we get f(x) as [tex]8x+11[/tex].

Hence we can conclude that the expression for f(x) is 8x+11.

Learn more about equivalent expression here

https://brainly.com/question/11326971

#SPJ2

Find the area of the shape shown below.

Answers

Answer:

31.5

Step-by-step explanation:

To find the area of this shape we must divide it into 2 parts :

Part 1 : the triangle Area= (3*(7/2))/2= 10.5 Part 2: the rectangle Area = 7*3 = 21 The total area is : A= 21+10.5=31.5

Answer: 31.5 unit^2
Explanation:
The shape is a rectangle + triangle
So we shall find the area of each shape

Find area of rectangle:

A= b x h
A= 7 x 3=21

Find area of triangle

A= (b x h)/2
A= (7x3)/2=21/2=10.5

Now we just plus the area of each shape then we get the area of the whole shape:

Area of rectangle + Area of triangle= The area of the whole thing

21 + 10.5= 31.5



Correctly determine whether the following statement is true or false. 6²> (- 6) ²

Answers

Answer:

False.

Step-by-step explanation:

6² >  (-6)²

36  >  36

Evaluate 4x² + 2xy for x = 5 and y = 2.

Answers

Hey there! :)

Answer:

120.

Step-by-step explanation:

Substitute in 5 for x and 2 for y into the expression 4x² + 2xy:

4(5)² + 2(5)(2) =

4(25) + 2(10) =

100 + 20 =

120.

The function below represents the interest Kristina earns on an investment. Identify the term that represents the amount of money originally invested. f(x) = 5,000(1 + 0.04)x

Answers

Answer:

The amount of money originally invested which is the principal P = 5,000

Step-by-step explanation:

Using the compound interest formula, the return on investment can be represented on the interest function as;

f(x) = P(1+r)^x

Where

P is the principal which is the initial investment.

r = rate Proportion

x = time (number of years)

Comparing to the given function;

f(x) = 5,000(1 + 0.04)^x

We can see that;

Principal P = 5,000

Rate r = 0.04

time = x

The amount of money originally invested which is the principal P = 5,000

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:  B. H(t) = -6.9(t - 2.3)² + 112

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex   ⇒    k is the maximum height

the distance traveled is when y = 0     ⇒    [tex]x=\sqrt{\dfrac{-k}{a}}+h[/tex]

Given: H(t) = -7.1(t - 2.3)² + 98

maximum height (k) = 98 feet

distance traveled (x) = [tex]\sqrt{\dfrac{-98}{-7.1}}+2.3[/tex]    = 6.02 seconds

A) H(t) = -7.5(t - 2.2)² + 112

maximum height (k) = 112 feet

distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-7.5}}+2.2[/tex]    = 6.06 seconds

B) H(t) = -6.9(t - 2.3)² + 112

maximum height (k) = 112 feet

distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-6.9}}+2.3[/tex]    = 6.33 seconds

C) H(t) = -6.9(t - 2.4)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

D) H(t) = -7.5(t - 2.3)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.

Please answer it now in two minutes

Answers

Answer:

Angle QUR = Angle RQS = 34 degrees

Step-by-step explanation:

Angle QUR is equal to Angle RQS, which in turn is 34 degrees.

**BRAINLIEST IF ANSWERED**
Which equation represents a circle that has a diameter of 10 units and a
center at (4,-1)?
(x+4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=25
(x+4)^2+(y-1)^2=10​

Answers

Answer:

third option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus

(x - 4)² + (y - (- 1))² = 5², that is

(x - 4)² + (y + 1)² = 25 ← equation of circle

If m∠VWA=120∘ and m∠BWC=(32x−27)∘, what is the value of x?

Answers

Answer:

Value of x = 4.6 (Approx)

Step-by-step explanation:

Note:

The statement in given question is missing that both angles are congruent.

Given:

m∠VWA = 120°

m∠BWC = (32 x - 27)°

Find:

Value of x

Computation:

We know that,

⇒ m∠VWA = m∠BWC

⇒ 120 = 32x - 27

⇒ 120 + 27 = 32x

⇒ 147 = 32x

⇒ x = 147 / 32

⇒ x = 4.59375

x = 4.6 (Approx)

Please help; thank you! :D ((I would offer some points, but I'm new and I don't know how that works lol))

Answers

Answer/Step-by-step explanation:

Given that the side length of a squared field is represented by the expression 3 - 7x,

a. Perimeter of the squared field (expressed as a sum):

Permimeter of a square = s + s + s + s

All sides of a square are of equal length.

s = side length of the squared field = 3 - 7x

Thus,

Perimeter expressed as a sum = (3-7x) + (3-7x) + (3-7x) + (3-7x)

b. Permitted of squared field expressed as a product:

Perimeter of square expressed as product = 4(s)

s = side length of squared field = 3 - 7x

Permimeter of squared field expressed as a product = 4(3 - 7x)

c. An equivalent expression for the product in (b) can be written using the distributive property as follows:

Perimeter = 4(3 - 7x)

Perimeter = 4(3) - 4(7x)

Please help and show work ..... need fast ... college algebra The half-life for thorium-227 is 18.72 days. The amount A (in grams) of thorium-227 after t days for a 10-gram sample is given by A(t)=10⋅0.5^t/18.72 How long will it take before 1 grams of thorium-227 is left in the sample? Round your answer to the hundredths place. days

Answers

Answer:

62.17 days

Step-by-step explanation:

The computation of the number of days  is shown below:

Given that

A(t)=10 × 0.5^(t ÷ 18.72)

1 = 10 × 0.5 ^ (t ÷ 18.72)

0.1 = 0.5 ^ (t ÷ 18.72)

Now consider the log in both sides

ln(0.1) = ln(0.5)^ (t ÷ 18.72)

ln(0.1)  ÷  ln(0.5) = (t ÷ 18.72)

3.321928095  = (t ÷ 18.72)

So, t = 62.17 days

With the help of log, we can easily compute it

What is the third quartile of this data set?
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
A. 24
B. 44
C. 29
O D. 39
SU

Answers

Answer:

D

Step-by-step explanation:

First find the median of the data set

The median is the middle value of the data in ascending order

20,  21,  24,  25,  28,  29,  35,  37,  39,  42,  44

                                      ↑ median = 29

The third quartile is the middle value of the data to the right of the median

35,  37,  39,  42,  44

               ↑ third quartile

The third quartile of the data set is 39

HELP ASAP !!!!! pleaseeee

A new square has dimensions that are the size of the original square. What statements are true? Select all that
10
apply.
The dimensions of the new square are 10 times the dimensions of the original square.
1
The perimeter of the new square is
10
times the perimeter of the original square.
The perimeter of the new square is equal to the perimeter of the original square.
The perimeter of the new square is 10 times the perimeter of the original square.
1
The area of the new square is
times the area of the original square.
100
The area of the new square is 100 times the area of the original square.

Answers

Answer: The new square is the same since it hasn't changed it's size.

Step-by-step explanation: cause it is

Answer:

is B and E

Step-by-step explanation:

I did it on edge

What statements is equal to the expression p\11

Answers

Answer: "p divided by 11" or "p over 11" or "p by 11".

Step-by-step explanation:

We use mathematical statements to express any algebraic expression.

For example: We write 2x as "2 is multiplied by x " or " product of 2 and x".

p+q as "sum of p and q" or "p is added to q"

The given expression is : [tex]\dfrac{p}{11}[/tex]

In mathematical statements, it can be written as "p divided by 11" or "p over 11" or "p by 11".

Hence, the statements are equal to the expression  [tex]\dfrac{p}{11}[/tex] are "p divided by 11" or "p over 11" or "p by 11".

A rectangle has a perimeter of 66 meters and a height of 14.2 meters. What is the length of the base?

Answers

Hey there! I'm happy to help!

The perimeter is the distance around the rectangle. You have used the word height, but I will replace it with the word width because the word height is usually used with 3D shapes.

If W is the width and the length is L, the formula for the perimeter is 2W+2L=P.

We can plug in the numbers we already have to solve for L, the length of our base.

2(14.2)+2L=66

28.4+2L=66

We subtract 28.4 from both sides.

2L=37.6

We divide both sides by 2.

L=18.8

The length of the base is 18.8 meters.

Have a wonderful day!

A pile of 55 coins consisting of nickels and dimes is worth $3.90 . Find the number of each.

Answers

Answer:

Answer:

Answer is: 32 nickels and 23 dimes.

x - number of nickels .

y -number of dimes.

two equations in two unknowns:

1) x + y = 55

2) 0,05x + 0,1y = 3,90.

nickel is a five-cent coin.

dime is a ten-cent coin.

solve equation 1) for x and substitute for x in equation 2)

x = 55 - y

0,05·(55 - y) + 0,1y = 3,902,75 - 0,05y + 0,1y = 3,90

0,05y = 1,15

y = 23.

x = 55 - 23 = 32.

pls help,look at picture attached (giving 10 points)​

Answers

Answer:

just cuase u answered mine x=8

Step-by-step explanation:

good luck

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write down the equation for the fate of pyruvate in muscle cells Copper wire of diameter 0.289 cm is used to connect a set of appliances at 120 V, which draw 1850 W of power total. The resistivity of copper is 1.68108m. A. What power is wasted in 26.0 m of this wire? B. What is your answer if wire of diameter 0.417 cm is used? The flesh of infants may be used asgloves and summer boots Swift objects to eating girls as old as 14because they would serve better asbreeders, and because people wouldobject that it is "a little bordering oncruelty"Although there are many suffering"aged, diseased," or injured people,nothing needs to be gone for thembecause they are already dying "as fastas can be reasonably expected"Poor Irish tenants, who have already soldtheir crops and cattle to pay the rent,will now be able to pay by selling theirchildrenThe sale of children will boost theeconomy, by much reducing the cost ofraising children, and stimulatingconsumption at tavernsMothers will love their children more,because they can now be sold profitablyas foodHusbands will now love their wives asmuch as they do the farm animals thatare about to give birth.Swift says no one should talk to himabout a long list of alternative solutions,most of them far more reasonable andhumane, until there is at least someglimpse of hope, that there will ever be When any two firms have both a high degree of market commonality and highly similar resources, a ______________ threat is present. Tchaikovsky's Sixth Symphony Group of answer choices ends with a slow, despairing finale. was left unfinished by the composer. is in the usual four-movement form. has five movements. Please someone should list and explain 5 importance of continental shelf to man .. Find the length of the short leg of a 30 - 60 - 90 triangle If the long side is 4/3 units. Find the missing length indicated. Two resistors, R1=3.85 and R2=6.47 , are connected in series to a battery with an EMF of 24.0 V and negligible internal resistance. Find the current ????1 through R1 and the potential difference V2 across R2 . You decide to use your department store charge card .. a lot! After seven weeks you have racked up $1,400 of debt. Your minimum monthly payment is $45, and is paid at the end of each month. If the APR is 16.80%, how long will it take you to pay the loan off? (Assume that you make the minimum payment until the debt is entirely paid off.) The Three-Fifths Compromise taxed slave owners for three-fifths of their slave population and counted three-fifths of their slaves for Congressional representation. A 40-foot tree casts a 12-foot shadow. How long is the shadow of a 5-foot-tall person?A) 5 feetB) 2 feetC) 0.67 feetD) 1.5 feet Which is evidence that the reaction below is a redox reaction? 2Na + Cl2 2NaCl is (0,0) a solution to this system? y x^2-4 y Analyze the diagram below and complete the instructions that follow.Find the value of x. Is 540171 divisible by 9? Trying to find the missing segment to the triangle in the attached image. What is the justification for step 2 in the solution process? Lotharan Corp. has yearly sales of $28.4 million and costs of $12.7 million. The companys balance sheet shows debt of $54.4 million and cash of $38.4 million. There are 1,960,000 shares outstanding and the industry EV/EBITDA multiple is 7.9.What is the companys enterprise value? Which property of a DBMS lets you change the database structure without requiring you to change the programs that access the database