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Lunna [17]
3 years ago
9

True or False: (EXPLAIN your answer) If angle CEF is complementary to angle DCF,

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

True

Step-by-step explanation:

Givens:

From if part: m<CEF+m<DCF=90

From picture: m<CEF+m<FEG=90

Subtracting the equations we get:

m<DCF-m<FEG=0

Adding m<FEG on both sides:

m<DCF=m<FEG

So true.

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The function h (d) = 2d + 4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying
mezya [45]

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

<h3>h(1.5)</h3>

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

<h3>h(10.3)</h3>

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

<h3>Context of the solutions to h(1.5) and h(10.3):</h3>

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

3 0
2 years ago
A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18% how many
Artemon [7]
The company will have a total number of 531 employees
5 0
3 years ago
Andrea has 3 tiles. One is a regular octagon, one is a regular pentagon and one is a regular hexagon. Andrea thinks the 3 tiles
HACTEHA [7]

From calculations, we can say that the given tiles will not fit together perfectly.

<h3>How to find the sum of interior angles of a Polygon?</h3>

If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.

Expression for the measure of the interior angle of a polygon,

Interior angle of a polygon = [(n - 2) * 180]/n

Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°

Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°

Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°

To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°

Sum of all interior angles = 108° + 120° + 135° = 363°

Therefore, given tiles will not fit together perfectly.

Read more about Interior angles of a Polygon at; brainly.com/question/224658

#SPJ1

4 0
2 years ago
What is the area of a quarter circle with a radius of 10? (answer needs to be in terms of pi)
Aloiza [94]

Answer:

314.16

Step-by-step explanation:

8 0
3 years ago
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Lucy’s mom gave Lucy and her 3 friends an equal amount of juice from the 30 ounces she had left. How much juice did each person
grigory [225]
D) 7 1/2 is the answer you are looking for


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3 years ago
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