5 STARS 20 foot ladder is leaning against the side of a building the bottom of the ladder is 4 feet from the wall the bottom of the ladder is 4 feet from the wall how many feet above the ground does the ladder touch the wall

Answers

Answer 1

Answer:

400

The ladder is the hypotenuse of a right triangle. The 2 feet from the wall on the ground is one side, the distance up the wall is another side.

In a right triangle, the square of the hypotenuse is the sum of the squares of the other two sides. This is called the Pythagorean Theorem. In equation form:

c^2 = a^2 + b^2

Substitute the known values:

20^2 = 2^2 + b^2

Square the numbers:

400 = 4 + b^2

Subtract 4 from both sides:

b^2 = 400 - 4 = 396

Take the square root:

b = sqrt(396) = 19.9 (rounded) feet

Check:

20^2 ?= 2^2 + 19.9^2

400 ?= 4 + 396.01

400 ?= 400.01 (off just a bit due to rounding)

Related Questions

Change 47/69 into a decimal. Is it terminating, non-terminating, or repeating?

Answers

0.68116 non terminating

Answer:

0.68116

Step-by-step explanation

terminating

Jackson invested $750 into a savings bond that earned 3% interest each month. At the same time, he also began saving money in a savings account. The value of the savings account is represented by f(x) = 1,000 + 25x, where x represents the number of months since the account was opened. At the end of how many months did the value of the savings bond first begin to exceed the value of the savings account?

Answers

Answer:

33 Is the ANSWER

The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in
the lake. What is the population this year? If you get stuck, consider drawing a diagram.
There are
fish in the pond.
HELLPPP

Answers

Answer:

theres

Step-by-step explanation:

Jenny shares £630 between her two children, Daniel and Rose, in the ratio 5 : 13

Work out how much money Jenny gives to each child.

Answers

Answer:

175 (daniel)

455 (rose)

Step-by-step explanation:

Daniel : Rose : Total

5 : 13 : 18

18 units --> 630

1u --> 35

5u --> 175 (daniel)

13u --> 455 (rose)

Did you already finish it ?

In a class, the ratio of girls : boys is 5:3.

What fraction of the class are boys?

please answer urgent , high points up for grabs , please give good explanation

Answers

you add the 5+3 to get the overall amount of 8 parts, 3 of them parts are boys so the answer is 3/8

help me asap mathematics 7th grade

Answers

Answer:

The pizza is 8.99 per pizza.

Step-by-step explanation:

Find the slope of the line passing through the pair of given points.
(5, 7) and (2,7)

Answers

Answer:

m = 0

Step-by-step explanation:

[tex]m = \frac{7 - 7}{5 -2} \\m = \frac{0}{3}\\m = 0[/tex]

what is 892.42 rounded tents place

Answers

892.4

May Nilbin Be With You

(2t2 - 36t + 162). - (t-9)

Answers

Answer:

2t^2 - 37t + 171

Step-by-step explanation:

distrube the - to the (t-9) and then combine like terms

Answer:(2t2 + 27t) - 162 = 0

STEP

Trying to factor by splitting the middle term

2.1 Factoring 2t2+27t-162

The first term is, 2t2 its coefficient is 2 .

The middle term is, +27t its coefficient is 27 .

The last term, "the constant", is -162

Step-1 : Multiply the coefficient of the first term by the constant 2 • -162 = -324

Step-2 : Find two factors of -324 whose sum equals the coefficient of the middle term, which is 27 .

-324 + 1 = -323

-162 + 2 = -160

-108 + 3 = -105

-81 + 4 = -77

-54 + 6 = -48

-36 + 9 = -27

-27 + 12 = -15

-18 + 18 = 0

-12 + 27 = 15

-9 + 36 = 27 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 36

2t2 - 9t + 36t - 162

Step-4 : Add up the first 2 terms, pulling out like factors :

t • (2t-9)

Add up the last 2 terms, pulling out common factors :

18 • (2t-9)

Step-5 : Add up the four terms of step 4 :

(t+18) • (2t-9)

Which is the desired factorization

Equation at the end of step

(2t - 9) • (t + 18) = 0

STEP

Theory - Roots of a product

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

Step-by-step explanation:

Find the slopes form two points (-1, -2) and (3,-4)

Answers

4/6 or 2/3. Take x2 subtract it by x1. Then take y2 and subtract y1. Take the number you got from the x coordinate over the number you got from the y coordinate

Answer:

m=-1/2

Step-by-step explanation:

use y=mx+b

Which answer describes the type of sequence?
1, 6, 7, 13, ...
geometric
O arithmetic
neither arithmetic nor geometriC

Answers

I think the answer is arithmetic.
I hope this helps! Be safe out there.
Sorry if I’m wrong

Answer:

neither arithmetic nor geometric

Step-by-step explanation

I got it wrong and assuming they don't have a common ratio/ constant difference

Plssss helpppp!!!!!!!

Answers

Answer:

Subtract 6 from both sides so the equation equals 0 ;)

Step-by-step explanation:

Answer:

Subtract 6 from both sides!

Step-by-step explanation:

I got it wrong at first 0-0

A quart of milk costs $1.89. What is the total cost for 20 quarts of milk?

Answers

To do this problem, you have to multiply the number of one quart of milk by twenty to get the total cost. So, you would do 1.89 x 20, which equals 37.8. So, the total cost would be $37.80 :)

PLEASE HELP ITS TIMED!!!
Order from least to greatest -1/2, -3/4, -2/5

Answers

Answer:

-2/5, -1/2, -3/4

Step-by-step explanation:

You have to have the same denominator.

-10/20, -15/20, -8/20

Hope this helps!

please send help, and explain if you can <333

Answers

Answer:

it would be B

Step-by-step explanation:

d=(0-(-5)^2+(-2-(-3)^2

d=(5)^2+(1)^2

d=25+1

d=26

i need help with my math problems

Answers

Answer:

Step-by-step explanation:

X Y X Y

0 3 0 5

1 7 1 8

2 11 2 11

3 15 3 14

4 19 4 17

Ben made a sundial in his backyard by placing a stick with height 6 in. straight into the ground, and marking the hours in the grass. To test it, he checks the time each day when the sun makes an angle of 30° or 60° with the ground. Select all the possible lengths of the shadow when Ben checks the sundial.
A. 12 in.
B. 23√ in.
C. 8 in.
D. 63√ in.
E. 22√ in.

Answers

Answer:

B and D

Step-by-step explanation:

is the relation a function (0, 3), (4, 0), (8, 0), (4, -3), (-5, 8)

Answers

Answer:

hlo guys Gavin magnus here

3x - 4 1/2 = -19 1/2

Answers

3x- 9/2= -39/2
3x= -39/2 + 9/2
3x= -30/2
3x= -15
x= -15/3
x=-5

-5, you can remove 1/2 from both sides, then add 4 to both sides, you’ll have 3x=-15

Which solids have the same types of vertical cross sections through the base?
a rectangular prism and a cylinder
a rectangular prism and a cone
a cylinder and a cone
a cylinder and a pyramid

Answers

Answer:

a rectangular prism and cylinder.

Answer:

Its A) a rectangular prism and a cylinder on edge

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!

Answers

Answer:

y+1 1/4=3 3/4 or y.1 1/4=3 3/4

Step-by-step explanation:

36= W/4 what does w equal ???????????///

Answers

Answer:

W=144

Step-by-step explanation:

36=w/4

36 times 4=w/4 times 4

144=W

Answer:

144

Step-by-step explanation:

144/4=36 36x4=144

Evaluate: 3.25/0.25?

Answers

Answer:

The answer is 13

Answer:

Step-by-step explanation:

This is the answer. Just divided the equation...

4. if f (x) = 2x2 – 32, what is the value of f (5)?

Answers

Step-by-step explanation:

f(x)=2×2-32

f(5)=252-32

f(5)=220

Brainliest to 1st person to get both correct!

Answers

Not sure for the first one but I think the second one is BD

NEEEEEEDD HELLLLPPP ASAPPPP

Answers

What do ya got? I need the equation and a little explanation of what needs to be done.

HELP I NEED HELP ASAP

Answers

I think the answer is X + 2

If you combine 4x and -2x how many x's will we have left?

Answers

Answer:

Step-by-step explanation:

4x+(-2x)=2x

AKJL-AWJX. Identify the coordinates of X and the scale factor.
y
W(0, 16)
urc
K(0,6)
Jx
L(-8,0)

Answers

Do you still need help with this question?

Solve the system of equations
Y = 2x
X - Y = 10

Answers

Answer:

x=-10, y=-20

Step-by-step explanation:

first you substiture the y in the second equation with the first

x-2x=10

then solve

1x-2x=-1

-x=10

multiply both sides by a negative to make the varible a

positive

x=-10

now we substitue the x in the first equation with -10

y=2(-10)

y=-20

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