Larry is reroofing his house. Each side of the roof measures 14 feet from the eave to the ridge. The horizontal distance between the eaves is
20 feet.
x
14 feet
14 feet
20 feet
The measure of the angle between the two sides of the roof is approximately
Reset
Next

Answers

Answer 1

Answer:

  91.2°

Step-by-step explanation:

There are several ways to find the a.pex angle of an isosceles triangle with all side lengths given. One of them is using the Law of Cosines:

  c² = a² +b² -2ab·cos(C)

Solving for the angle C, we find ...

  C = arccos((a² +b² -c²)/(2ab))

__

Here, we have a=b=14 and c=20. The angle is ...

  C = arccos((14² +14² -20²)/(2·14·14)) = arccos(-8/392)

  C ≈ 91.16938°

The interior angle at the peak of the roof is about 91.2°.

Larry Is Reroofing His House. Each Side Of The Roof Measures 14 Feet From The Eave To The Ridge. The

Related Questions

The volume of a cylinder is 81 pi in^3 and the height of the cylinder is 1 in. What is the radius of the​ cylinder

Answers

Answer:

18/20π

Step-by-step explanation:

81π ÷ 1 = 81π

81π ÷2 = 18/20π

You do this because the radius is half of the diameter and you need to get rid of the hight by dividing it from the volume.

A triangle has an area of 54 m² and a height of 9 m.

How long is the base of the triangle?

Enter your answer in the box.

Answers

Answer:

base = 3

Step-by-step explanation:

The area of triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The area and height is given, to find the base we can make the following equation:

1/2*b*9 = 54

9b/2 = 54 multiply both sides by 2

9b = 27 divide both sides by 9

b = 3

What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.

In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.

Answers

Answer:

volume = 33.5 in³

Step-by-step explanation:

Formula:

[tex]\sf volume \ of \ a \ cone=\dfrac13\pi r^2h[/tex]

Given:

r = 2 inh = 8 inπ = 3.14

Substituting the given values into the formula:

[tex]\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8[/tex]

                  [tex]=\dfrac13 \times 3.14 \times 4 \times 8[/tex]

                  [tex]\sf =33.49333333...[/tex]

                  [tex]\sf =33.5 \ in^3 \ (nearest \ tenth)[/tex]

-1/4 (24ab + 8c) please help

Answers

Answer-6ab-2chope this helps! :)

15x + 2y /= 38
x >/= 0; y>/= 0

Answers

not so sure about the answer

1. Matthew is at the beach with his family. He is using a rectangular prism-shaped container to mold sand for his sandcastle. The container has the following dimensions: 12 in. by in. by in.

(a) Matthew noticed that the container was one-fourth full of sand. How many more cubic inches of sand would be required to fill the container? Show your work.

(b) Matthew’s father has a container that has dimensions that are each double the dimensions of Matthew’s container. Matthew thought that the volume would also double. Is Matthew correct? How many times greater is the volume of the larger container than the volume of the smaller one? Show your work and explain your reasoning.

2. Jasmine is making a 3-tiered wedding cake. The cake is made up of 3 rectangular prisms.
The bottom tier has a width of 16 in, a length of 16 in, and a height of in. The middle tier has the same height as the bottom tier but has a width and length that are each of the dimensions of the bottom tier. The top tier also has the same height as the bottom tier, but its width and length are each of the dimensions of the middle tier. Jasmine has made enough batter for 2,200 in3 of cake.
Does Jasmine have enough batter to make this cake? Explain and show your work.


3. A rectangular prism has dimensions of , 2, and in.
(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
(b) What is the volume of the prism? Explain.
(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.

HELPPP!!!ASAP!! K12 PLEASE PLEASE HELP!!!!!!

Answers

Answer:

e

Step-by-step explanation:

cus e duh

Need additional math help 50 pts

Answers

Answer:

12

Step-by-step explanation:

This thing to know about this question is that angle 1 and angle 3 are actually the same.

When two lines intersect, the opposite angles such as that shown in 1 and 3 are equal to each other.

So what you can do is set angle 1 and 3 equal to each other like so:

5x+10 = 70

Then solve for x

5x+10 = 70

5x = 60

x = 12

The answer is 12.
Hope this helps

Pls, Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I can help you if you still!!!

A spinner has 16 equal-sized sections. Twelve of the sections are orange.
a. What is the probability that the spinner will land on orange?
b. Use words to describe the probability
a.
out of 16, or
.
4
b. It is
that the spinner will land on orange.

Answers

The probability that the spinner will land on orange is the likelihhood of landing on orange

The probability that the spinner will land on orange is 0.75

How to determine the probability?

From the question, we have:

Spinner section = 16

Orange section = 12

So, the probability that the spinner will land on orange is:

p = 12/16

Evaluate

p = 0.75

Hence, the probability that the spinner will land on orange is 0.75

Read more about probability at:

https://brainly.com/question/251701

-7/3y-2/9=1/3 solve for y

Answers

Answer:

y = -12

Step-by-step explanation:

-7/3y - 2/9 = 1/3

cross multiple for 1/3:

-21/3y - 6/9 = 1

cross multiply for 3y and 9:

-21 - 6 = 3y + 9

3y + 9 = -27

3y = -36

y = -12


g. a car travels at 60m/s for 50minutes
south west.calculate how far it will travel

Answers

Step-by-step explanation:

first we want to convert it to minutes so we multiply 60m/s by 60. 3600m/min or 3.6km/min

we just multiply 50 by 3.6.

therefore the car travels 180km south west

Help picture below problem 15

Answers

Answer:

Supplementary

Step-by-step explanation:

The two angles are completely different from each other and if you combine them together it'll form a straight line making it 180 degrees

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same, not including tax?

Answers

Answer:

2 toppings   need to be added to a large cheese pizza from Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same

Step-by-step explanation:

                   t=toppings

6.80 +0.90t = 7.30+0.65t

0.25t = 0.5

  t = 2

         

what is 7 times 3 fiths

Answers

Answer:

4-1.5 or 21/5 or 4.2

Step-by-step explanation:

Multiple: 7 * 3/5 = 7 · 3/1 · 5 = 21/5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(21, 5) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seven multiplied by three fifths = twenty-one fifths.

the sum of three consecutive natural numbers is 1146, find the numbers.

the three numbers in increasing order are ______ , _____, and ________

Answers

[tex]\text{Let the 3 consecutive numbers be}~ x,~x+1~ \text{and} ~x+2.\\\\\text{According to the condition,}\\\\x+x+1+x+2 = 1146\\\\\implies 3x +3 = 1146\\\\\implies 3(x+1) = 1146\\\\\implies x+1 = \dfrac{1146}3 = 382\\\\\implies x= 382-1 = 381\\\\\text{Now, the numbers are}~ 381,~382~\text{and}~383[/tex]

If x = 9 units , y = 3 units , and h= 11 units what is the area of the trapezoid

Answers

Hey there!

Your area of a trapezoid


a = a + b / 2(h)

area = base + base / 2(height)


YOUR EQUATION:

area = 9 + 3 / 2(11)

area = 12/2(11)

area = 6(11)

area = 66


Thus, your answer is probably: 66


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

kassim has a money box containing 100 mixed sh 5 and sh 10 coins with a total value of sh 600. How many of each type of coin does the box contain

Answers

Answer

90

Step-by-step explanation

600 divided by 100

600 / 100 (5+10)

Frank is surveying shoppers about their use of the new food court in a mall. Which question in his survey is a statistical question?

How many hours do you spend at the food court each month?
Where is the food court located in the mall?
How many restaurants are there in the food court?
Who is the manager of the food court?

Answers

Answer:

A  How many hours do you spend at the food court each month? is a statistical question

Step-by-step explanation:

Because that can have many answers unlike where is the food court in the mall? that question is not statistical because there can only be one answer and so are all the other ones.

Answer:

How many hours do you spend at the food court each month?

Step-by-step explanation:

I just took test got 100% this answer is correct

How many hours do you spend at the food court each month?

Please help me ASAP

( I will mark brainliest )

Answers

e=10
give me brain list please

how to express 1 cm as a fraction of 1 meter in decimal form

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]

Let's see ~

Remember : value of 1 meter = 100 centimeters

[tex]\qquad \sf  \dashrightarrow \:1 \: m = 100 \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:1 \: cm = \frac{1}{100} \: m[/tex]

[tex]\qquad \sf  \dashrightarrow \:1 \: cm = 0.01 \: m[/tex]

・ .━━━━━━━†━━━━━━━━━.・

As we know

100cm=1m

So

turn down to fraction

[tex]\\ \rm\rightarrowtail \dfrac{1}{100}[/tex]

Turn to decimal

[tex]\\ \rm\rightarrowtail 0.01m[/tex]

please help
me answer this question

Answers

I hope I can help you:)

Answer:

x ≥ 4

Step-by-step explanation:

Given:

[tex]\displaystyle \large{3x-1\geq 11}[/tex]

Add both sides by 1:

[tex]\displaystyle \large{3x-1+1\geq 11+1}\\\displaystyle \large{3x\geq 12}[/tex]

Divide both sides by 3:

[tex]\displaystyle \large{\dfrac{3x}{3} \geq \dfrac{12}{3}}\\\displaystyle \large{x\geq 4}[/tex]

Hence, the solution is x ≥ 4

1. Tom rides his bike 6_1/4 miles round trip to work. He works 2 days each
week. How far will Tom ride his bike to and from work in 5 weeks?
⚫️31_1/4 miles
⚫️62_1/2 miles
⚫️12_1/2 miles
⚫️62 miles

Answers

Answer:

B. 62 1/2

Step-by-step explanation:

The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. What is the surface area of the roof?

Answers

Answer:

area=2πr

= 22/7*15

= 47.142

What is the length of the triangular prism shown? 25 cm
15 cm
9 cm
25 cm
12 cm the answers are A.86 B.1008 C.1350 D.1080

Answers

The length is 25cm and the surface area is 1008 cm.

To calculate surface area of an object you must calculate the area of each shape land then add them all together.

Answer:

Total Surface Area = 1008 cm^2

Step-by-step explanation:

2 X 1/2 X (12 X 9) (Surface area of the two triangles) (Area of triangle = 1/2 Base X Height)

+ 25 X 15 (Slanted Surface)

+ 25 X 9 (Back Rectangle)

+ 25 X 12 (Bottom Rectangle)

= 1008

simplify the following 72÷6+3×2​

Answers

Answer:

18

Step-by-step explanation:

Use PEDMAS

In this, we have to do first division , then multiplication and finally addtion.

72 ÷ 6 + 3*2 = 12 + 3*2       {division is done}

                     = 12 + 6         {Multiplication is done}

                     = 18

Determine the value of x if the mode is 18

Answers

Nobody can solve this without any further information?

(3√7 +5)^2
simplify the problem to its simplest form.

Answers

Answer:

88 + 30[tex]\sqrt{7} \\[/tex]

Step-by-step explanation:

Expand to make easier:

(3[tex]\sqrt{7} \\[/tex] + 5) x (3[tex]\sqrt{7} \\[/tex] + 5)

FOIL:

9(7) + 15    [tex]\sqrt{7}[/tex] + 15[tex]\sqrt{7}[/tex] + 25

Simplify:

63 + 30[tex]\sqrt{7}[/tex] + 25

88 + 30[tex]\sqrt{7}[/tex]

A closet contains 5 cases of laundry detergent. Each case contains 12 bottles. Each bottle contains 3 liters of detergent.

How many liters of laundry detergent in all are in the closet?

Answers

Each bottle in the case is 3 litres in capacity, we found the total number of bottles to be 60, hence the number of litres is 180 litres

Capacity of Items

Given Data

Number of Cases of Detergent = 5Number of Bottles on the closet = 5*12 = 60 bottles

Required : the total litres

If each bottle is 3 litres in capacity and we have 60 bottles

Then the total amount in litres is

= 60*3

= 180 litres

Learn more about capacity of items here

https://brainly.com/question/21036176

You can run at a speed of 6 mph and swim at a speed of 3 mph and are located on the shore, 5 miles east of an island that is 1 mile north of the shoreline. How far (in mi) should you run west to minimize the time needed to reach the island

Answers

Answer:

I think I should run 5miles

awdawddwawwwwwwwwwwwwwwwd dwd awdw w ddw

Answers

Answer:

I'm sorry i dont think i understand what do u need help with

Step-by-step explanation:

Other Questions
HELP GUYS ASAP THIS QUESTION IS DUE SOLVE The diameter of a cylinder is 1 yd. The height is 12 ydof the cylinder? Find the volume of the cylinder. HELP!! Im in class I just need help with the fill in blanks segment help me please Plsss help mee Im not sure what the answer is 30 POINTS!!!PLEASE HELP ME I WILL MARK BRAINLIEST!!!!!!!! . . l l l lInstructions is in pics below V V V V If you have 19 cups full of water and 45 gallons of water. what does the gallon equals to how many cups of water? What property of operations is used to show that 12x + 6y is equivalent to(2x + y)? library is a good source of information why Read these lines from robert frosts "the road not taken." i shall be telling this with a sigh somewhere ages and ages hence: these lines most support a tone of somber reflection. neutral reflection. wistful reflection. hopeful reflection. There are 10 students in Class 1 and 40 students in Class 2.All 50 students sit a test.The mean score for the students in Class 1 was 80%The mean score for the students in Class 2 was 70%Find the mean score of all the students. Write an informative essay about the book/movie Wonder Complete and balance the equation for the reaction of sodium with water.Na+_H2O+ H2 Please help!consider the function f(x)=-(x+2)^2+42 + 4.a) in what form is this quadratic function written? _________________________b) list the values of the following parameters a = ______ h = ______ k = ______ vertex = ___________c) what will the a parameter do to this function? Which expression is equivalent to 3 square root of x^5 y A Goodyear Blimp is positioned at a height of 1,500 feet over the M&TBank Stadium to broadcast the Baltimore Ravens game. The blimp isobserved by a car of fans as they look upward at an angle of 22.Another car closer to the stadium can see the blimp if they lookupward at an angle of 65.DEOOVFigure notdrawn to scale1500 ft6522x ft.Determine x, the distance between the two cars. PLS I NEED THE ANSWER I GIVE U 100 POINTS IF U ANWSER do you think the un universal declaration of human rights is sufficient to protect against abuses of human rights What action did the Allied countries take after the war to help people who had been hurt by World War II?1. They removed all military supplies in rival countries. 2.They provided aid to citizens in countries destroyed by the war. 3.They allowed all citizens in destroyed countries to immigrate. 4.They overthrew the governments in countries destroyed by war. please answer quick Becket needs to solve the system of equations using elimination.-2x+4y=-2(6x-y=28) Which correctly describes the first step Becket should take?A. Multiply each term in the 1st equation by -3B. Multiply each term int he 1st equation by 3C. Multiply each term in the 2nd equation by -4D. Both B and C would work Exactly 150 years ago, students planted a tree in front of their school. Since then, the tree has grown 21 meters taller and the distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates. The measures of heights (in inches) of a class of students are shown. 60, 60,54, 62, 62, 57,58, 65, 54,67, 63,57, 62, 54, 72, 66, 54, 69, 55, 61 Find the mean, median, mode, range, and standard deviation of the heights.b. A new student who is 7 feet tall joins your class. How would you expect this students height to affect the measures in part (a)? The term used for all floating and drifting organisms in the sea is: