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guajiro [1.7K]
2 years ago
12

A 28 ft ladder is leaned against the side of a building and its base is 5 ft away from the building. How far up the building wil

l the ladder reach?
Mathematics
1 answer:
Sonja [21]2 years ago
5 0

Answer:

27.55ft

Step-by-step explanation:

28²-5²=x

784-25=759

square root of 759=27.55

You might be interested in
If m angle B=m angle D=41, find m angle C so that quadrilateral ABCD is a parallelogram
Charra [1.4K]

ANSWER

139°

EXPLANATION

One of the interior angle properties of a parallelogram is that adjacent interior angles are supplementary.

This means that, the adjacent interior angles add up to 180°.

If

m \angle \: B = m \angle \: D = 41

Then

m \angle \: C +  m \angle \: D = 180 \degree

OR

m \angle \: B +  m \angle \:C= 180 \degree

\implies41 \degree +  m \angle \:C= 180 \degree

\implies m\angle \:C= 180 \degree - 41 \degree  = 139 \degree

8 0
3 years ago
Read 2 more answers
What is the surface area of this right rectangular prism with dimensions of 4 centimeters by 4 centimeters by 6 centimeters?
bagirrra123 [75]

Answer:

C

Step-by-step explanation:

This is because using the formula of area for shapes, you get this equation

A=2(wl+hl+hw)=2·(4·6+4·6+4·4)=128

7 0
2 years ago
Read 2 more answers
Estimate the square root of 75.<br> a. 8.7<br> b. 4.2<br> c. 7.4<br> d. 9.5
SVEN [57.7K]

Answer: A.8.7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Jamie says that the expression 6x-2x+4 and 4(x+1) are not equivalent because one expression has a term that is subtracted and th
Sati [7]

Answer:

1. D 2. A 3. Distribute the four in 4(x+1)

Step-by-step explanation:

1. It says that Jamie is saying that they are "not equivalent".

2. You have to use the distributive property to distribute the 4 to x and to the 1.

3. After distributing, compare the two expressions and now see if they are equivalent or not.

8 0
3 years ago
What much expression represents a rational number?
Pie

Answer:

\displaystyle \frac{2}{7}+\sqrt{121}

Step-by-step explanation:

<u>Rational Numbers</u>

A rational number is any number that can be expressed as a fraction

\displaystyle \frac{a}{b}, \ b\neq 0

for a and b any integer and b different from 0.

As a consequence, any number that cannot be expressed as a fraction or rational number is defined as an Irrational number.

Let's analyze each one of the given options

\displaystyle \frac{5}{9}+\sqrt{18}

The first part of the number is indeed a rational number, but the second part is a square root whose result cannot be expressed as a rational, thus the number is not rational

\pi + \sqrt{16}

The second part is an exact square root (resulting 4) but the first part is a known irrational number called pi. It's not possible to express pi as a fraction, thus the number is irrational

\displaystyle \frac{2}{7}+\sqrt{121}

The square root of 121 is 11. It makes the whole number a sum of a rational number plus an integer, thus the given number is rational

\displaystyle \frac{3}{10}+\sqrt{11}

As with the first number, the square root is not exact. The sum of a rational number plus an irrational number gives an irrational number.

Correct option:

\boxed{\displaystyle \frac{2}{7}+\sqrt{121}}

6 0
2 years ago
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