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marysya [2.9K]
3 years ago
8

A pentagon can be divided into five congruent triangles. The function t=5 tan theta models the height of each triangle. What is

the area of the pentagon if theta=54 degrees? Round to the nearest foot.

Mathematics
1 answer:
pentagon [3]3 years ago
6 0
We assume that the dimension 5 has units of feet.

The area of each triangle will be
  A = (1/2)bh
where b=2×(5 ft), h=(5 ft)tan(54°)
Then
  A = (1/2)(2×5 ft)(5 ft)(tan(54°)
  A = 25×tan(54°) ft²

There are 5 such triangles making up this pentagon, so the total area is
  total area = 5×25×tan(54°) ft² ≈ 172 ft²

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PLZ HURRY IT'S URGENT!!!
mr Goodwill [35]

Answer:

25 two point shots

25 three point shots

2x+3y<100 is that the one missing the sign?

Step-by-step explanation:

25*2=50

25*3= 75

50+75= 125

2x+3y has to be over 100 points

so 2x+3y<100

8 0
2 years ago
A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.
Black_prince [1.1K]

Answer:

\frac{19}{12}\ pounds

or

1\frac{7}{12}\ pounds

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}

Convert mixed number to an improper fractions

1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}

3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}

Substitute in the expression above

x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}

solve for x

Multiply by (4*6) both sides to remove the fractions

24x+30+16=84

Combine like terms left side

24x+46=84

subtract 46 both sides

24x=84-46

24x=38

Divide by 24 both sides

x=\frac{38}{24}\ pounds

simplify

x=\frac{19}{12}\ pounds

Convert to mixed number

\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds

4 0
3 years ago
2. Jason can put his money in a savings account and earn about 12 cents in interest this month, or he can
julsineya [31]

Answer:

12 cents

Step-by-step explanation:

opportunity cost of the next best option forgone when one alternative is chosen over other alternatives

by loaning matt the money he forgoes the opportunity to earn 12 cents in interest. this is his opportunity cost

8 0
2 years ago
PLEASE HELP IM STRUGGLING!!
dem82 [27]
Use the tangent-chord theorem:
The included chord-tangent angle is half the size of the intercepted arc.

The intercepted arc is "c".
The included chord-tangent-angle is the supplement of 110=70 degrees.
Therefore from the tangent-chord theorem, 70 degrees = half the size of arc "c"
=>
arc "c" = 2*intercepted angle = 2*70 degrees = 140 degrees.

3 0
3 years ago
-5/3 + 2 1/3 in simplest form
motikmotik

Answer:

4

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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