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Inga [223]
3 years ago
8

The gable end of the roof shown is divided in half by a vertical brace. Find the distance h (in ft) from an eave to the peak. 41

feet (height) 80 feet (width) h = _________ ft.

Mathematics
1 answer:
nlexa [21]3 years ago
8 0

Answer:

h = 9 ft  

Step-by-step explanation:

Assume the diagram is like the one below.

∆ABD is a right triangle.

We can use Pythagoras' Theorem to find the height h.

\begin{array}{rcl}h^{2} + 40^{2} & = & 41^{2}\\h^{2} + 1600 & = & 1681\\h^{2} & = & 1681 - 1600\\& = &81\\h& = & \sqrt{81}\\&=& \mathbf{9}\end{array}\\\text{The height of the gable is $\large \boxed{\textbf{9 ft}}$}

 

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10. The perimeter of a regular nonagon is 162 inches. The apothem is 97.8 inches. Find the area.
Katen [24]

Answer:

The area of the regular nonagon is 7921.8 square inches.

Step-by-step explanation:

Geometrically speaking, the area of a regular polygon is determined by following area formula:

A = \frac{p\cdot a}{2} (1)

Where:

A - Area of the regular polygon, in square inches.

p - Perimeter, in inches.

a - Apothem, in inches.

If we know that p = 162\,in and a = 97.8\,in, then the area of the regular nonagon is:

A = 7921.8\,in^{2}

The area of the regular nonagon is 7921.8 square inches.

8 0
3 years ago
Dawn Dough and Dale earned different amounts $9.35,$8.52,and$8.25 dale and Doug earned about $9.00 Dawn earned exactly $1.10less
Zielflug [23.3K]

We know that the amounts earned by Dawn, Doug and Dale are from the list of numbers: $9.35, $8.52 and $8.25

We also know that Dale and Doug earned close to $9.00

And that Dawn earned $1.10 less than Dale

Let the amount earned by Dale be x

⇒ Amount earned by Dawn is x - 1.1

If we notice the list of numbers, we see that $9.35 and $8.25 differ by $1.1

Hence, Dale earned $9.35 and Dawn earned $8.25

We are now left with $8.52, which should be the amount earned by Doug. This is correct, since we also know that Doug earned close to $9.

Hence, the amounts earned are:

Dale: $9.35

Doug: $8.52

Dawn: $8.25

8 0
3 years ago
PLEASE HELP ME!!!!!!!!!!
nikklg [1K]

Answer:

-7/10

Step-by-step explanation:

To find the slope of a line, you need to find the \frac{rise}{run} between two points. I will be using the points (-3, 5) and (7, -2).

\frac{rise}{run} = \frac{-2-5}{7-(-3)}

     = \frac{-7}{10}

     = -7/10

8 0
3 years ago
Jakob is asking to simplify the expression -3a + 4b + 5a + (-7b).
garik1379 [7]

Answer:

B. Commutative

Step-by-step explanation:

He can do that because it's a sum

3 0
2 years ago
Read 2 more answers
How does a slope of 9/2 compare to 3/2?
Softa [21]

Answer: 3


Step-by-step explanation

9 divided by 2 =4.5

3 divided by 2 = 1.5

so then we do 4.5 divided by 1.5=3 so the answer is 3

4 0
3 years ago
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