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3 years ago

I need to know the answer

Mathematics

1 answer:

tankabanditka [31]3 years ago

4 0

Answer:

Step-by-step explanatio

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If m/CHF = 106°, then what is m/FHD?

densk [106]

Answer:

74 degrees

Step-by-step explanation:

The two angles in question form a straight line (180 degrees)

180 = CHF + FHD

180 = 106 + FHD

180 - 106 = FHD

FHD = 74 degrees

5 0

2 years ago

An office building has the same number and size of offices on each floor. If there are 21 offices on the first 3 floors, then wh

zhenek [66]

Answer:

70 offices

Step-by-step explanation:

21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices

6 0

2 years ago

Given: f(x) = x - 7 and h(x) = 2x + 3<br> Write the rule for f(h(x)).

sdas [7]

<h3>Answer: f( h(x) ) = 2x - 4</h3>

Work Shown:

f(x) = x - 7

f( h(x) ) = h(x) - 7

f( h(x) ) = 2x+3 - 7

f( h(x) ) = 2x - 4

Explanation:

In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.

8 0

3 years ago

Find the perimeter of the quadrilateral that has vertices at (8,13), (5,-18), (-6,-6), and (-2,-5).

kodGreya [7K]

Answer:

72.14 units

Step-by-step explanation:

Let A(8,13), B(5,-18),C(-6,-6) and D(-2,-5)

Apply the distance formula as;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Finding the lengths of the segments

For AB

$AB=\sqrt{(5-8)^2+(-18-13)^2} =\sqrt{(-3^2)+(-31^2)} =\sqrt{970} =31.14$

For BC

$BC=\sqrt{(-6-5)^2+(-6--18)^2} =\sqrt{(-11^2)+12^2} =\sqrt{265} =16.28$

For CD

$CD=\sqrt{(-2--6)^2+(-5--6)^2} =\sqrt{4^2+1^2} =\sqrt{16+1} =\sqrt{17} =4.12$

For DA

$DA=\sqrt{(8--2)^2+(13--5)^2} =\sqrt{10^2+18^2} =\sqrt{424} =20.6$

Finding the perimeter will be;

31.14+16.28+4.12+20.6=72.14 units

3 0

3 years ago

The domain of y = cos x is _______.

Lana71 [14]

ANSWER

d. The set of all real numbers

EXPLANATION

The basic cosine function ,

$y = \cos(x)$

is continuous everywhere.

The function is defined for all real values of x.

The domain is the set all values of x that will make the function defined.

The domain is all real numbers.

The correct choice is D.

6 0

3 years ago