A ladder that is 30 feet long is placed against a house. The location of the ladder is 8 feet from the base of the house. How far up the house does the ladder reach? Round your answer to the nearest tenth of a foot

Answers

Answer 1

Answer:

28.9 m

Step-by-step explanation:

30²-8²=900-64= 836

√836 = 28.9 m

Answer 2

The Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.

What is pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Here, Given, length of ladder ( Hypotenuse ) = 30 ft.

Distance from base = 8 ft.

By Pythagoras theorem,

Hypo.² = perp.² + base²

30² = x² + 8²

900 = x² + 64

x² = 900 - 64

x² = 836

x = √836

x = 28.91 ft.

Thus, the Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.

Learn more about Pythagoras theorem from:

https://brainly.com/question/343682

#SPJ2


Related Questions

24 6 2 9 3=5 make it true

Answers

Answer:

24-6-9-2-3+2+2-3 = 5

Step-by-step explanation:

I hope this helps!

What two numbers multiply to the value of -10 and add to the value of -3

Answers

Answer:

-5 and 2

Step-by-step explanation:

-5+2=-3

-5*2=-10

Which system has infinitely many solutions?

Answers

Answer:

D

Step-by-step explanation:

because both are x and y and they can be any number so no matter what the number is it will equal 4 and 2.

The answer is D

Step by step explanation

can someone help?

The perimeter of the triangle is 45cm.

Calculate the length of the hypotenuse.

Answers

I try it

Answer:

28.36

Step-by-step explanation:

Perimeter = 45

Perimeter = 2x + 3 + x + 6x + 1

2x + 3 + x + 6x + 1 = 45

9x + 4 = 45

9x = 45 - 4

9x = 41

X = 41/9

X = 4.56 or 4.6 (base on how may decimal places)

Hypotenuse

=6x + 1

= 6(4.56) +1

=38.36

Or

Hypotenuse

=6x +1

= 6(4.6) +1

=28.6

PLEASE hello please help i’ll give brainliest

Answers

Answer:

A

Step-by-step explanation:

First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9

If two zeroes of the polynomial f(x)=x3−4x2−3x+12 are √3 and -√3 then find its third zero.

Answers

Answer:

Third zero is 4

Step-by-step explanation:

The polynomial is;

f(x) = x³ − 4x² − 3x + 12

We are given 2 zeros which are √3 and -√3.

This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.

Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.

I have attached this long division method and we have the third factor as; (x - 4)

Equating to zero, we have x = 4 as the third zero of the polynomial

Daily Common
Core Review
15-2
pns.
5. Which is the greatest length: 2 miles,
4,112 yards, or 167,616 inches?

Answers

Answer:

4,112 yards

Step-by-step explanation:

because I said so

Which is bigger 1/7 or 0.14

Answers

Answer:

Both are equal

Step-by-step explanation:

please mark me brainliest

Answer:1/7

Step-by-step explanation:

Evaluate.
9.2x10-^8
—————-
2.3x10^3

1.6.9 x 10^-11
2.4.0 x 10^-11
3.4.0 x 10^-5
4.6.9 x 10^-5

Answers

Step-by-step explanation:

[tex] \frac{9.2 \times {10}^{ - 8} }{2.3 \times {10}^{3} } \\ = 4.0 \times {10}^{ - 11} [/tex]

FOLLOW ME ON TWITCH 1mr46n0ob1

Answers

3333334444444353553535354

Someone pleaseeee answer

Answers

Answer:

A

Step-by-step explanation:

We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.

5x ≥ 0 implies that x ≥ 0x + 3 ≥ 0 implies that x ≥ -3

Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.

Sigmund picked a pair of socks out of his drawer without looking in the drawer. Sigmund has 3
pairs of black dress socks, 4 pairs of brown dress socks, 3 pairs of black sport socks, and 5
pairs of white sport socks. What is the probability that Sigmund will select a pair of black socks or a pair of sport socks?

Answers

Answer:

The chance of getting a pair of black socks is 73.33%

Which expression is not a trinomial?
A. x^4+x-2
B. 3x^3 +3^3
C. 2x^3 + x^2 - 4x - 2x^3 +1
D. x^2+x+1

Answers

Answer:

Option D.

Its a Polynomial or Binomial of index 2

List the members of each of the following sets: IF U = {0, 1, 2…..9} A= {0, 2, 4, 6, 8} B= {1, 3, 5, 7, 9} C= {1, 2, 3, 8} D= {4, 5, 6, 7} , Find A U C​

Answers

Answer:

AUC={0,1,2,3,4,6,8}

hope it helps.

stay safe healthy and happy.

Given A = {0, 2, 4, 6, 8}

C = {1, 2, 3, 8}

A U C = {0,1,2,3,4,6,8}

If a circle has a circumference of 43.96 units, what is the approximate area of the circle? (Use 3.14 as an
approximation of pi.)

Answers

Answer:

If we were to use 3.14 as pi . . .

43.96/3.14 = 14

14/2 = 7

7 x 7 = 49

49 x 3.14 = 153.86

153.86 would be the correct answer

But if we were to use pi. . .

615.1279985 would be the answer.

Answer:154 rounded to whole number

Step-by-step explanation:

C=pi ×d

43.96 = 3.14 ×d

d= 43.96÷3.14

d= 14

So radius is 7 (half of diameter)

Area=3.14×7×7

=153.86

HELP PLEASEEE!!! Which technique is most appropriate to use to solve each equation?

Answers

Answer: (x+4)(x-9)=0 is zero product property, you're correct on the second one

Step-by-step explanation:

7. The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877. Use an inverse matrix to determine the number of each type of ticket sold .

Answers

Answer:

The total number of child ticket sold  = 87

The total number of adult ticket sold = 128

Step-by-step explanation:

Given -  The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.

To find - Use an inverse matrix to determine the number of each type of ticket sold .

Proof -

Let the total number of child ticket sold = x

Let the total number of adult ticket sold = y

Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.

⇒x + y = 215

Also,

Given that,  Tickets cost $11 child and $15 per adult, bringing in a total of $2877

⇒11x + 15y = 2877

So,

The equations becomes

x + y = 215

11x + 15y = 2877

So,

The matrix form becomes

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]

By comparing, we get

x = 87

y = 128

So, we get

The total number of child ticket sold = x = 87

The total number of adult ticket sold = y = 128

Can someone help me please

Answers

Answer:

its A

Step-by-step explanation:

it is a because its -9 down and 7 to the right

0.16x^2-49, factor using special products

Answers

Answer:

(.4x+7)(.4x-7)

Step-by-step explanation:

Use the following diagram to find the sum of angle A and angle C.

A. 45 degrees
B. 90 degrees
C. 115 degrees
D. 180 degrees
E. 270 degrees​

Answers

Answer:

[tex]a + c = 180 - 65 = 115[/tex]

Can someone Please help me find the area of the square I already know the perimeter.

Answers

Answer:

36

Step-by-step explanation:

6 x 6= 36

 someone help on number 2

Answers

Answer:D

Step-by-step explanation:

I'm prolly wrong so sorry

Answer:

I think it's 'D'

hopefully it's correct!

Two sides of a triangle are labeled as 7 units and 12 units. What is the range of
possible values for the third side?
F 2 < x < 17
G 7 < X < 12
H 5 < x < 17
J 5 < x < 19

Answers

I think answer should be the first option please give me brainlest let me know if it’s correct or not okay thanks bye

please help!!

show work(factoring)

u^4 - 3u^2 - 4

Answers

Answer: (u^2+1) * (u-2) * (u+2)

PLEASE HELP PLEASE HELP

Answers

Answer:

B) 24

Step-by-step explanation:

The area of the rectangle is 48 units (8 x 6).

The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.

b = base

h = height

A = [tex]\frac{1}{2}[/tex](6)(8)

A = 24

Answer:

[tex]24[/tex]

Step-by-step explanation:

If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.

Help pls!!!!!!!!!!!!!!

Answers

Answer:

46°

Step-by-step explanation:

tan Ф = 21/20

Ф = tan-1 (21/20)

= 46°

Tickets to a football game cost 5$ for students and 7$ for adults. write and solve a system of equations to determine the number to student tickets sold and the number of adult tickets sold at the most recent home football game if a total of 680 people purchased tickets and the ticket booth sold 3,914 worth of tickets. Does anyone know the equation? Tysm in advance tho if you help!

Answers

Answer:

x + y = 680

5x + 7y = 3914

Step-by-step explanation:

Let the amount of students who purchased tickets equal x.

Let the amount of adults who purchased tickets equal y.

If you add the amount of adults and students, you get the total amount of people:

x + y = 680

Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:

5x + 7y = 3914

These are the two equations:

x + y = 680

5x + 7y = 3914

1) Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies. Lazer Zone charges $50 for parties, and an additional $10 per guest. Fun Palace charges $90 for parties, and an additional $6 per guest. For how many guests is the cost of both companies the same?

Answers

Answer:

10 guests

Step-by-step explanation:

Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.

Let us represent additional guests = g

Lazer Zone charges $50 for parties, and an additional $10 per guest.

=$50 + $10 × g

50 + 10g

For fun place

Fun Palace charges $90 for parties, and an additional $6 per guest.

= $90 + $6 × g

90 + 6g

For how many ?

We equate both Equations together

= 50 + 10g = 90 + 6g

Collect like terms

10g - 6g = 90 - 50

4g = 40

g = 40/4

g = 10

Hence, g = 10 guests

Therefore, the number of guests for which the cost of both companies is the same is 10 guests

Which function describes the graph below?

Answers

Answer:

Step-by-step explanation:

There are no pics

Plant A is 14 inches tall and growing at a rate of 0.5 (½) inches each day. Plant B is 8 inches tall and is growing at a rate of 2 inches each day. When will plants A and B have the same height?

Answers

Answer:

They will both have a height of 16 inches in 4 days.

Step-by-step explanation:

Hope this helps :D

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