Find the values of k so that the area of the triangle with vertices (1, -1), (-4,2k) and (-k, – 5) is 24 sq. units

Step-by-step explanation:

Notice how you get the same value each time when you divide the cost by the number of downhill rides

Moreover when the downhill rides grow by 2 the total cost grows by 5

so we can state :

To complet the chart we can use the proportionaliyu relation:

so 20 goes with 50

same method:

so 25 goes with 62.5

Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft

Answer:

664

Step-by-step explanation:

651 - - 13

Negative times negative is positive.

651 + 13

Add.

664

Answer:

664

Step-by-step explanation:

651 - (-13)

Do the keep , change , change method

So , it will be :

651 + 13 = 664

Hope this helps and plsss plss amrl as brianliest and THNXX :)

Explanation:

The vertical angles at C are congruent with each other, so we have the necessary conditions to invoke the SAS congruence postulate:

  ∆BCA ≅ ∆ECD

BA ≅ ED by CPCTC (corresponding parts of congruent triangles are congruent)

Answer:

37.5

Step-by-step explanation:

0.1  pound for one batch of cookies

3.75 pound for  x  batches of cookies

3.75/0.1=x

he can make 37.5 batches of cookies

Answer:

S 67.50° W

Step-by-step explanation:

Answer:

β = (-0.19 dB).

Step-by-step explanation:

The formula which is used to calculate the decibel level of a sound is given by :

[tex]\beta=10\log (\dfrac{I}{I_o})[/tex]

I is intensity of the sound of a ticking clock

[tex]I_o=10^{-12}\[/tex] watts per square meter

Since, [tex]1\ \text{inch}^2=\dfrac{1}{1550}\ \text{m}^2[/tex]

The intensity of a monster truck is converted into per square meter as follows:  

[tex]10^{-9}\ {W/in^2}= \dfrac{10^{-9}}{1550}\ W/m^2\\\\10^{-9}\ {W/in^2}=6.45\times 10^{-13}\ W/m^2[/tex]

So, Decibal level is :

[tex]\beta=10\log (\dfrac{6.45\times 10^{-13}}{10^{-12}})\\\\\beta =-0.19\ dB[/tex]

So, the decibel level of the sound of a ticking clock is (-0.19 dB).

Answer:

30dB

Step-by-step explanation:

Answer:

The quotient is 4x-20/x+5

Step-by-step explanation:

The quotient is simply the result of the division

Through factorization, can express x^2 -25 as (x-5)(x+5)

Also x^2 + 10x + 25 as (x+5)(x+5)

and lastly 4x-44 as 4(x-11)

Now when we divide, the numerator of the second fraction will come down while the denominator goes up;

So we have ;

x^-25/x-11 * 4x-44/x^2 + 10x + 25

Now, making use of the factorizations, we have ;

(x-5)(x+5)/(x-11) * 4(x-11)/(x+5)(x+5)

Canceling out like factors, we have

= 4(x-5)/(x+5)

and the answer should be 18 x 27. The answers were reversed.

Step-by-step explanation:

basically you can do (6x4) + 3 = 27

and (4x4) + 2 = 18.

A ratio shows us the number of times a number contains another number. The real size of the bedroom is 2536' by 1648'.

A ratio shows us the number of times a number contains another number.

Given that architectural drawing lists the scale as 1/4" = 1'. Therefore, we can write the scale ratio as,

1/4" = 1'

1" = 4'

Now, given that the bedroom measures 634" by 412" on the drawing. Therefore, the real dimensions of the bedroom are,

634" = 634 × 4' = 2536'

412" = 412× 4' = 1648'

Hence, the real size of the bedroom is 2536' by 1648'.

Learn more about Ratios:

https://brainly.com/question/1504221

#SPJ2

Answer:

e = -2

Step-by-step explanation:

Well to solve for e in the following equation,

.75(8 + e) = 2 - 1.25e

We need to distribute and use the communicative property to find e.

6 + .75e = 2 - 1.25e

-2 to both sides

4 + .75e = -1.25e

-.75 to both sides

4 = -2e

-2 to both sides

e = -2

Thus,

e is -2.

Hope this helps :)

Answer:

C. all whole numbers

Step-by-step explanation:

Well Roberts can’t have a negative income and due to the number of violins being whole numbers, it is impossible to have 2.273 violins.

Hence, the annual income can only be whole numbers

Answer:

c

Step-by-step explanation:

Answer:

Height is 5.3 inches.

Step-by-step explanation:

2* base + 2*height = 35.8

2*12.6 + 2h = 35.8

h = (35.8 - 2(12.6) / 2

= (35.8 - 25.2) /2

=  10.6 / 2

= 5.3 inches.

Answer:

Step-by-step explanation:

The formula of a perimeter of a rectangle:

[tex]P=2(l+w)[/tex]

l - length

w - width

We have

[tex]P=35.8in\\l=12.6in[/tex]

Substitute:

[tex]35.8=2(12.6+w)[/tex]       divide both sides by 2

[tex]\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}[/tex]

[tex]17.9=12.6+w[/tex]       subtract 12.6 from both sides

[tex]17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)[/tex]

Answer:

[tex]\frac{10}{99}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{10}{99}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating decimal after the decimal point.

let x = 0.10101.... → (1)

Multiply both sides by 100

100x = 10.10101.... → (2)

Subtracting (1) from (2) eliminates the repeating decimal, thus

99x = 10 ( divide both sides by 99 )

x = [tex]\frac{10}{99}[/tex]

Answer:

Step-by-step explanation:

Given

Step one:

Company's initial asset value = $11,283,500

Company's final asset value =   $21,794,600

Step two

we can calculate the company's asset appreciation after 10 years as

$21,794,600- $11,283,500= $10,511,100

Step three

Hence, the growth rate of the company's asset value per  year can be expressed as =  $10,511,100/10= $1,051,110

Answer:

b > 9

Step-by-step explanation:

6(b – 4) > 30

Divide each side by 6

6/6(b – 4) > 30/6

b-4 > 5

Add 4 to each side

b-4+4 > 5+4

b > 9

Answer:

[tex]\boxed{b > 9}[/tex]

Step-by-step explanation:

[tex]6(b-4) > 30[/tex]

Resolving Parenthesis

6b - 24 > 30

Adding 24 to both sides

6b > 30+24

6b > 54

Dividing both sides by 6

b > 9

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~`

You added no fraction so i thought you wanted the definition

Convert Fractions to Percents. Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.

Hope this helped you. Brainliest wouldbe nice!

X axis is the horizontal axis and y is the vertical.

On a graph, quandrant 1 is the upper right side which requires both x and y to be positive.

Quadrant 2 is upper left, which is negative x and positive y.

Quandrant 3 is lower left, which is negative x and y.

Quadrant 4 is lower right, which is positive x and negative y.

X< 0 is negative and y > 0 is positive.

This matches quadrant 2

The answer is B.

A, B is the answer..................

Answer:

its A and C

Step-by-step explanation:

Just because...........

Answer:

Number of flowers planted planted by Charlie per day = 72

Step-by-step explanation:

Given:

Dora can plant 150 flowers and Charlie plants 120 flowers in same time.

Dora can plant 18 flowers more per day than that of Charlie.

To find:

Flowers that can be planted by Charlie per day = ?

Solution:

Let the time taken by Dora to plant 150 flowers = T days

So, T will be the time taken by Charlie to plant 120 flowers.

Number of flowers planted by Dora per day = Total Number of flowers planted by Dora divided by number of days

Number of flowers planted by Dora per day = [tex]\frac{150}{T}[/tex]

Similarly, Number of flowers planted by Charlie per day = Total Number of flowers planted by Charlie divided by number of days

Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex]

As per condition given:

[tex]\dfrac{150}{T} = \dfrac{120}{T} +18[/tex]

Solving the above equation by taking LCM:

[tex]\Rightarrow \dfrac{150}{T} = \dfrac{120 +18T}{T}\\\Rightarrow 150=120+18T\\\Rightarrow 18T = 30\\\Rightarrow T = \dfrac{30}{18}\\\Rightarrow T = \dfrac{5}{3}\ days[/tex]

Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex] = [tex]\frac{120\times 3}{5} = 72[/tex]

So, answer is:

Number of flowers planted planted by Charlie per day = 72

Answer:

722 √(3) square units

Step-by-step explanation:

Mathematically, the area of a triangle is 1/2 * b * h

But in this question, we have the base which is a while the height is absent

We can use trigonometric ratios since we are given the angle to find the value of the height.

Since we are dealing with the opposite and the adjacent, the correct trigonometric identity to use is the tangent

Mathematically;

Tan 60 = h/a

where h represents the height which we want to calculate

h = a tan 60

But tan 60 = √(3)

So h = a √(3)

Now the area of the triangle will be;

A = 1/2 * a * a √(3)

But a has a value of 38 units.

Substituting this value, we have ;

A = 1/2 * 38 * 38 √(3)

A = 19 * 38√(3)

A = 722 √(3) square units

Answer: A) 1/2

Step-by-step explanation:

Answer:

If you flip a coin three times in the air, what is the probability that tails lands up all three times?

Step-by-step explanation:

1/2

Answer: I think it's 2

Step-by-step explanation: i am not dat good at math

Answer:

Step-by-step explanation:

To find the slope first write the equation in the form

y = mx + c

where m is the slope

c is the y intercept

3x - 3y = -45

3y = 3x + 45

Divide both sides by 3

y = 3/3x + 45/3

y = x + 15

From the equation the slope = 1

Parallel lines have equal slope

So

The line parallel to the above line is also

1

Hope this helps you

Answer:

210

Note: this answer might be incorrect because of the value of music (212). This doesn't make logical sense.

Step-by-step explanation:

Hello,

This question can easily be solved through the use of a venn diagram.

Total number of students = 55

Number of medals in sport = 40 = A

Number of medals in dance = 25 = B

Number of medals in music = 212 = C

Number of students that got award in the three categories = (AnBnC) = 6

n(AuBuC) = 55

n(AnB) + n(BnC) + n(AnC) - 3n(AnBnC) =

n(AnB) + n(AnB) + n(AnC) -3×6 ......equation (i)

n(AuBuC) = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Therefore,

n(AnB) + n(BnC) + n(AnC) = n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC)

n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC) - 18

40 + 25 + 212 + 6 - 55 - 18 = 210

Note: this answer might be incorrect because of the value of C (music)

Answer:

Additive inverse = -3/2

Multiplicative inverse = 2/3

Step-by-step explanation:

To find Additive inverse, just change the sign.

Additive inverse of 3/2 = -3/2

If we add  a number and its additive inverse, we will obtain 0.

Multiplicative inverse of number a is 1/a and multiplicative inverse of a fraction  a/b is b/a.

When we multiply a number & its inverse, we will get 1

Multiplicative inverse of 3/2 = 2/3

Hi king,

Let's split it into two prisms.

[tex]V_{1}=5cm*10cm*3cm\\V_{1} =150cm^{3}[/tex]

[tex]V_{2}=5cm*10cm*(9cm-5cm)\\V_{2}=5cm*10cm*4cm\\V_{2} =200cm^{3}[/tex]

The prism in the picture:

[tex]V_{final}=150cm^{3} +200cm^{3} \\V_{final}=350cm^{3}[/tex]

Have a good day.

Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

Answer:

You havent showed us the pattern

Answer:

two hours after the snow started melting, the depth of the snow would be 8 inches.

Step-by-step explanation:

The melting can be represented by a linear function of the snow depth (D(t)) as a function of time (t). We consider that the initial value is: 11 inches deep at time = 0 (zero). and then decreasing at a rate of 1.5 inches per hour (that is a negative slope = -1.5).

[tex]D(t)=11-1.5\,t[/tex]

Therefore, 2 hours after the snow started melting, one would have:

[tex]D(2)=11-1.5\,(2)=11-3=8\,\,inches[/tex]

Answer:

It's A, the bartender

Step-by-step explanation: