Need help solving triangle in picture

Need Help Solving Triangle In Picture

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the sine ration on the left, right triangle

sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{8.6}[/tex] ( multiply both sides by 8.6 )

8.6 × sin35° = a , thus

a ≈ 4.93 cm

a + b = 15.7, so

4.93 + b = 15.7 ( subtract 4.93 from both sides )

b = 10.77

-------------------------------------------------------------

Using the cosine ratio on the left, right triangle

cos35° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{8.6}[/tex] ( multiply both sides by 8.6 )

8.6 × cos35° = y , so

y ≈ 7.04 cm

Using Pythagoras' identity on the right, right triangle

c² = b² + y² = (10.77)² + (7.04)² = 115.99 + 49.56 = 165.55

Take the square root of both sides )

c = [tex]\sqrt{165.55}[/tex] ≈ 12.87 cm


Related Questions

In the figure, what is the value of x?
A. 180°
B. 80°
c. 62°
D. 38°

Answers

Answer:

C

Step-by-step explanation:

Angles on a straight line.

180 - 100

= 80

Angles in a triangle.

180 - 38 - 80

= 62

I believe it is 62

Explanation: The angle next to 100 is 80 and 80 +38 is 118 and then you subtract 180-118

5. Points A, B and C are all
the circle.O represents the centre.
Angle AOB = 2x+28 Angle ADB = 3x-70
Calculate the value for x​

Answers

Answer:

Step-by-step explanation:

angle acb=1/2angle aob=1/2(2x+28)------(anble subtended by an arc at centre is double the angle subtended by it at any other parts of the circle)

angle c+angle d=180....opp angles of a cyclic quad. are supplementry

hence,

x+14+3x-70=180

=>x=64

The value of x from the given figure is 59°.

Given that, points A, B and C are all the circle. O represents the center.

What is circle theorem to relate angle at circumference and central angle?

What is the circle?

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Here, Reflection of ∠AOB= 360-(2x+28)

∠ADB=1/2 (Reflection of ∠AOB)

⇒ 3x-70=1/2 (360-(2x+28))

⇒ 3x-70=1/2 (360-2x-28)

⇒ 3x-70=180-x-14

⇒ 3x-70=166-x

⇒ 3x+x=236

⇒ 4x=236

⇒ x=59

Therefore, the value of x from the given figure is 59°.

To learn more about the circle visit:

https://brainly.com/question/11833983.

#SPJ2

Yash brought apples and bananas to a picnic The number of apples was three more than twice the number of beane Tach brought 11 apples to the pionie. How many bananas dd he bring?

Answers

Answer:

25 bananas

Step-by-step explanation:

11 apples doubled is 22 then plus 3 in 25 this he brought 25 bananas

The number of bananas that Yash brought is 4 bananas.

It is given that Yash brought apples and bananas to a picnic. The number of apples was three more than twice the number of bananas.

We have to find out that how many bananas did he bring , if number of apple were 11.

What do you mean by linear equation in one variable ?

Linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are integers and x is a variable.

As per the question ;

Tach brought 11 apples to picnic.

Let's assume the number of bananas = x

Number of apple = 11 = 2x + 3

11 = 2 x + 3

⇒ 2x = 8

⇒ x = 8 ÷ 2

x = 4

Thus , the number of bananas that Yash brought is 4 bananas.

To learn more about algebra click here ;

https://brainly.com/question/22516053

#SPJ2

BRAINLIEST! Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?

Answers

Answer: 25?

Step-by-step explanation:

can you also answer these?!?

Answers

i cannot see the question for #33, but for

#34, im sure there are a bit more efficent ways to find surface area, but i just find the area of each square. area of top and bottom=240 square inches (120+120); area of shorter sides=60 square inches (30+30); area of longer sides= 72 square inches (36+36). add all of those together, so the total surface area is 372 square inches. So basically Charlene will need 372 square inches of wrapping paper

#35 the formula for volume is length*width*height. So do 60*45.5*14=38,220 cubic ft.

#36 first find the area of that triangle. (6*14)/2=42. Then find area of square which is 20*14=280. Add those (280+42) and get 322. So the area of the polygon is 322 square mm

Find the missing length idicated.

Answers

Answer:

x = 25.

Step-by-step explanation:

Since the longer side of the smallest triangle bisects the largest triangle's right angle, all three triangles shown are similar.

As seen in the diagram, the smaller triangle's hypotenuse (15) corresponds to the the largest triangle's hypotenuse (x), and the smaller triangle's shorter side length (9) corresponds to the largest triangle's shorter side length (15). So, we can set up a proportion...

[tex]\frac{x}{15} =\frac{15}{9}[/tex]

9 * x = 15 * 15

9x = 225

x = 225/9

x = 25

Hope this helps!

simplify the expression (-h^4)^5

Answers

See image below! If this is right please give me brainlest

when a number is to a power then to another power, the answer is the number to the power TIMES the other power

it should be:

-h^20.

Make a story problem for the expression below. Then solve the problem. (n + 15) ÷ 5

Answers

Answer:

Bob buys n number of cookies. He goes again and buys 15 more. After that he splits them among 5 friends.

Step-by-step explanation:

Answer:

Sandy buys a number of slices of pizzas from Pizza Hut. She then goes to Marco's Pizza and buys 15 more slices. Sandy goes to a party and splits the pizza slices evenly between 5 friends. How many slices of pizza did she buy from Pizza Hut?

Determine the measure of ∠F. answers: 1) 256° 2) 52° 3) 128° 4) 64°

Answers

Answer:

4) 64

Step-by-step explanation:

f = 128/2

f = 64

Answer:

4) 64°

Step-by-step explanation:

An inscribed angle has half the measure of the arc it intercepts.

m<F = (1/2)m(arc)BD

m<F = (1/2) * 128 deg

m<F = 64 deg

If we transform y = x^2 by 5 units to the left and 8 units up, what is the vertex of the resulting parabola?
(-5, 8)
(5,8)
(-5, -8)
(5-8)

Answers

Answer:

(-5, 8)

Step-by-step explanation:

If the vertex of the parabola is on (0, 0), and moved to the left 5 units and up 8 units, the point would be (-5, 8). When a point is moved to the left, the number goes down, and when a point is moved up, it goes up in value. Therefore, you get (-5, 8).

PLLLLLLLLLLZZZZZZZZZ

Answers

Answer:

Hey there!

Donald would have 20x+10 dollars.

20 dollars (number of 20 dollars) + 10 dollars

Answer: 20x + 10

Step-by-step explanation:

20x in this expression means 20 * the number of dollar bills he owns.  Each bill is worth twenty dollars.  + 10 is simply 10 * 1(the number of 10 dollar bills he owns)

Hope it helps <3

HELP! A circle is inscribed in a square. A point N in the square is chosen at random. What is the probability that N lies in the shaded region? Round your answer to the nearest percent.

Answers

Answer:

30%

Step-by-step explanation:

Kathryn's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 6 adult tickets and 11 student tickets for a total of $118. The school took in $156 on the second day by selling 12 adult tickets and 12 student tickets. What is the price of each adult ticket? What is the price of each student ticket?

Answers

Answer:

Adult price $5

Student price 8$

Step-by-step explanation:

Hello!

The school sells tickets for the choral performance with different prices depending on the ticket is for an adult or for a student of the school.

If X represents the price of an adult ticket and Y represent the price of a student ticket using the given information you can determine a set of two equations with two unknown values:

Day 1: 6 adult tickets and 11 student tickets for a total of $118

Symbolically: 6X + 11Y= $118

Day 2:  12 adult tickets and 12 student tickets for a total of $156

Symbolically: 12X + 12Y= $156

Step 1

From one of the formulas, clear one of the unknown values:

[tex]12X + 12Y= 156\\12Y= 156- 12X\\Y= \frac{156-12X}{12} \\Y= 13 - X[/tex]

Step 2

Replace the value obtained in step one in the second formula:

[tex]6X + 11Y= 118\\6X + 11(13 - X)= 118\\6X + (11*13) - 11X = 118\\6X -11X + 143= 118\\-5X= 118 - 143\\-5X= -25\\X= 5[/tex]

The ticket price for an adult is $5

Step 3

Using the value of X obtained in step 2, replace in the formula for Y to obtain the ticket price for students:

Y= 13 - X= 13 - 5= $8

I hope this helps!

−7∘C denotes a temperature of 7∘C below 0∘C, what does 5∘C mean?

Answers

It means 5C above 0C

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 17 feet by 17 feet by 2 inches for a patio if the concrete costs $40.00 per cubic yard? a. $76.45 b. $71.36 c. $90.67 d. $87.56

Answers

Answer:

The answer will be B ($71.36)

Step-by-step explanation:

17 ft. = 17/3 yd.

2 inch. = 2/(12 x 3) yd.

The cost will be: 40 x (17/3) x (17/3) x (2)(12/3) = 5780/81 = $71.358024...

= $71.36 (rounded)

Hope This Helps!!!

Question 5 (1 point)
(06.02 LC)
Which statement best describes the expression 3y = 8? (1 point)
O 1) 8 divided by 3 times y
O2) 8 times y divided by 3
03) 3 divided by 8 times y
O4) 3 times y divided by 8​

Answers

Answer:

Step-by-step explanation:

None of these choices is correct.  

3y = 8 is an equation, not an expression.  It states that "y is 8 divided by 3," which again is an equation.

Answer:

3 times y divided by 8

Step-by-step explanation:

Which is the graph of the linear inequality 2x – 3y < 12?
B

Answers

Answer:

C.

Step-by-step explanation:

Given

2x - 3y < 12

Required

Find the graph it represents

we start by solving for the x and y intercepts;

Let x = 0

2x - 3y < 12 becomes

2(0) - 3y < 12

0 - 3y < 12

-3y < 12

Divide both sides by -3

-3y/3 < 12/-3

y > -4

Let y = 0

2x - 3y < 12 becomes

2x - 3(0) < 12

2x - 0 < 12

2x < 12

Divide both sides by 2

2x/2 < 12/2

x < 6

So, we have

x < 6 and y > -4

This implies that the graph is bound by the region where the values of x is less than 6 and the values of y is greater than -4

From the list of given options,only option C answers this question. The dotted lines actually represent inequalities

if one inch represents 14 feet how many inches would you use to make a scale drawing of a building that is 199 feet

Answers

Answer:

14.21 inches

Step-by-step explanation:

Given

1 inch = 14 feet

Required

Find the equivalent of 199 feet

Write out the given expression;

1 inch = 14 feet

Let x represent the equivalent of 199 feet in inches; Such that:

x = 199 feet

Write out both expressions

1 inch = 14 feet

x = 199 feet

Using cross multiplication; both expressions become

x * 14 feet = 199 feet * 1 inch

Divide both sides by 14 feet

[tex]\frac{x * 14 feet}{14 feet} = \frac{199 feet * 1 inch}{14 feet}[/tex]

[tex]\frac{x * 14}{14} = \frac{199* 1 inch}{14}[/tex]

[tex]\frac{14x}{14} = \frac{199* 1 inch}{14}[/tex]

[tex]x = \frac{199* 1 inch}{14}[/tex]

[tex]x = \frac{199inch}{14}[/tex]

[tex]x = 14.2142857143inch[/tex]

[tex]x = 14.21 inches[/tex] (Approximated)

what is the surface ara of a sphere with a diameter of 16cm

32pi cm^2
256 pi cm^2
1,024 pi cm^2
126 pi cm^2

Answers

Answer:

1024pi cm²

Step-by-step explanation:

4pi(16)²

4pi256

1024pi

Answer:

[tex]256\pi {cm}^{2} [/tex]

Step-by-step explanation:

surface area of a sphere=4πr^2

diametre=16

[tex]radius = \frac{diametre}{2} [/tex]

radius=8

[tex]surface \: area \: of \: sphere = 4 \times \pi \times {8}^{2} [/tex]

[tex] \: \: \: \: = 4 \times \pi \times 64[/tex]

[tex] \: \: \: \: = 256\pi {cm}^{2} [/tex]

The graph shows data from a science experiment in which the temperature of a substance was measured over time.

What is the constant of proportionality for degrees per minute?

Answers

Answer:

The answer to this question is ---> 1/4

Step-by-step explanation:

!!!! PLEASE HELP ME !!!!Find each measure. m<1 m<2 m< 3

Answers

Answer:

m angle 1= 45

m angle 2= 76

m angle 3= 80

Step-by-step explanation:

Question 8
Find the indefinite integral.
csc(4x) dx.

Answers

The correct answer is C. Using u-substitution: u=4x, du/dx=4, dx=du/4. So now we have to take the indefinite integral of (1/4)*csc(u). Which is (-1/4)ln|csc(u)+cot(u)|. Finally plug in 4x for u, which gives C, or the third option.

Answer:

Option C is correct.

Step-by-step explanation:

Your solution is correct. Given the integral [tex]\int \csc \left(4x\right)dx[/tex], let y = 4x, du = 4dx, respectively [tex]\frac{1}{4}[/tex]du = dx. Rewrite the given using these values of u and du.

[tex]\frac{du}{dx}[/tex] = 4 / 1 = 4,

[tex]\int csc(u)\frac{1}{4} du[/tex] - let us combine csc( u ) and 1 / 4,

[tex]\int csc(u) / 4 * du[/tex] - as 1 / 4 is a constant with respect to u, we can move it out of the integral,

[tex]\frac{1}{4} \int csc(u)du[/tex] - the integral of csc( u ) with respect to u is present in the form

" [tex]In(|csc(u) - cot(u)|)[/tex] . " Therefore,

[tex]\frac{1}{4} ( In(|csc(u) - cot(u)|) + C )[/tex] - replace all occurrences of u with 4x to receive the third solution. It can also be written as " [tex]\frac{1}{4} ( In(|csc(4x) - cot(4x)|) + C )[/tex], but only that your move the negative sign to the left of the integral.

BC is tangent to circle A. Determine the length of AC . ANSWERS: 1) 3 2) 4 3) 5 4) 6

Answers

Answer:

3) 5

Explanation:

Use Pythagoras Theorem where

a^2 + b^2 = c^2

3^2 + 4^2 = 25

C= root 25 = 5

A circle is a curve sketched out by a point moving in a plane. The length of AC in the given figure is 5 units. The correct option is

3.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

In a circle, the angle between the radius and tangent is always equal to 90°. Therefore, we can write that in the given figure ΔABC, the triangle is a right angle triangle with ∠B as the right angle.

Now, for the triangle using the Pythagoras theorem we can write,

AC² = AB² + BC²

AC² = 3² + 4²

AC² = 9 + 16

AC = √25

AC = 5

Hence, the length of AC in the given figure is 5 units.

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ5

The mad scientist will need two fifth of the potions how many potion is that

Answers

40% if you are asking for percent that’s you answer

Answer:

Step-by-step explanation:

If the total number of potions is p, then we can write (2/5)p to represent the number of potions needed.

Wasn't the total number of potions given?

Please answer asap! What is the range of the function y = -|x|? y ≤ 0 x ≤ 0 all real numbers

Answers

X=0 I think the answer is , sorry if this isn’t correct

Answer:

[tex]\huge \boxed{y\leq 0}[/tex]

Step-by-step explanation:

The range of a function are all possible values for y.

[tex]y = -|x|[/tex]

The domain is all real numbers. The value of x can be all real numbers.

The absolute value of a number will always be positive.

The negative sign gets distributed to the absolute value, the output or end result will always be a negative number or zero, the range is less than or equal to 0.

The range of the function is [tex]y\leq 0[/tex]

Express 510 & 3/10 % as a decimal fraction.

Answers

Answer:

5.10 and 0.3

Step-by-step explanation:

510% in decimal form is 5.10 if u move the decimal to the left twice

3/10% is 30% which in decimal from is .3 if u move the decimal over to the left twice

hope this helps

Find the area of the square with a side length of 8 ft.

Answers

Answer:

The area of square is 64ft².

Step-by-step explanation:

Given that all sides of a square are equal. So you have to apply the formula for area of square :

[tex]area = length \times width[/tex]

[tex]let \: length = 8 \\ let \: width = 8[/tex]

[tex]area = 8 \times 8[/tex]

[tex]area = 64 \: {ft}^{2} [/tex]

Answer:

here,

side length (l)= 8 ft.

now, area = l^2

a= 8^2

=64ft^2 is the answer..

hope i helped uh..

Find the domain of the rational function below. F(x)= (x-4)(x+2)/(x+3)(x-4)

Answers

Answer:

{x ≠ -3 ∪ x ± 4}

Step-by-step explanation:

The (x - 4) terms cancel, but x still may not = 4 (which would cause division by zero).  Also, (x + 3) may not be zero (for the same reason), and so x ≠ -3.

The domain of this function is {x ≠ -3 ∪ x ± 4}

-3(2x +5) how to solve this problem

Answers

Answer:

Step-by-step explanation:

-3×2x)+(-3×5)

-6x+-15

Fill in the blanks for me

Answers

Answer:

Statement                             | Reason                                            

MNOP is a parallelogram    | Given

PM ║ ON                              | Definition of a parallelogram

∠PMO ≅ ∠MON                   | Alternate interior angles theorem

MN ║ PO                              | Definition of a parallelogram

∠POM ≅ ∠MNO                   | Alternate interior angles theorem

ΔMNO ≅ ΔPOM                   | ASA postulate

PM ≅ ON                              | CPCTC

Other Questions
Four whole numbers are rounded to the nearest 10 The sum of the four rounded numbers is 90 What is the maximum possible sum of the original four numbers There are only r red counters and g green counters in a bag. A counter is taken at random from the bag. The probability that the counter is green is The counter is put back in the bag. 2 more red counters and 3 more green counters are put in the bag. A counter is taken at random from the bag. The probability that the counter is green is Find the number of red counters and the number of green counters that were in the bag originally. ( 5 marks) Please select the word from the list that best fits the definition Voy a pescar en el lago. Cmo va a ser? Find the lateral area of this pyramid whose base is a regular hexagon with a side length of 3cm and whose slant height is 12cm. Which object has the most gravitational potential energy?O A. A 5 kg book at a height of 2 mB. An 5 kg book at a height of 3 mC. An 8 kg book at a height of 3 mO D. A 8 kg book at a height of 2 mSUBARU what is the slope of the line given by the equation? Mannisto, Inc., uses the FIFO inventory cost flow assumption. In a year of rising costs and prices, the firm reported net income of $244,087 and average assets of $1,550,550. If Mannisto had used the LIFO cost flow assumption in the same year, its cost of goods sold would have been $44,110 more than under FIFO, and its average assets would have been $40,630 less than under FIFO. a) Calculate the firm's ROA under each cost flow assumption. b) Suppose that two years later costs and prices were falling. Under FIFO, net income and average assets were $288,567 and $1,880,970, respectively. If LIFO had been used through the years, inventory values would have been $45,690 less than under FIFO, and current year cost of goods sold would have been $22,660 less than under FIFO. Calculate the firm's ROA under each cost flow assumption. Right or wrong... what process was attributed to the phreatic or steam-driven violent eruption of Kilauea in 1924 The chemicals that are released from the hypothalamus, the gonads, and the adrenal cortex are called ________, whereas the chemicals released by bioelectrical impulses throughout the brain are called ________. 1. synapses; hormones 2. neurotransmitters; synapses 3. inhibitory communicators; dendrites 4. hormones; neurotransmitters 2. A student has a centrifuge tube containing 14.0 g of t-butanol and is asked to make a 1.2 m solution of ethanol/t-butanol. How much ethanol would the student need to add in mL and in g? Show your calculations. Show your calculations. (6 pts) How do the leaves look when they are old and ready to drop which statement about magnitude is true? Magnitude is never a negative value. The magnitude of 1.9 is |1.9| which is 1.9. The absolute value of a number is greater than its magnitude. The numbers 4 and 4 have the same magnitude. The magnitude of Negative two-thirds is less than the magnitude of Two-thirds. Which statements are true? Check all that apply. When Steve is talking about his communications with employees, he says, "I constantly check in." The information Steve gets from employees during these check-ins is an example of Which words reveal the pace of the story? Select 3options HELP ASAP!!!!!!!!!!!!!!! You would like to combine a risky stock with a beta of 1.5 with U.S. Treasury bills in such a way that the risk level of the portfolio is equivalent to the risk level of the overall market. What percentage of the portfolio should be invested in Treasury bills what is -34/15 in decimal form What is the IRS method of allocating expenses between rental use and personal use? Find the value of the expression below.log5 2 + log5 10 - log5 4 6th grade math :) help me please !