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astraxan [27]
2 years ago
15

I need help on this problem

Mathematics
1 answer:
Tatiana [17]2 years ago
8 0

Answer:

D

Step-by-step explanation:

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The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. Th
Orlov [11]

The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

<h3>How to determine the length</h3>

The cosine rule is given as;

c = \sqrt{a^2 + b^2 - 2ab cos \alpha }

c = length of the diagonal

a = base length = 22 feet

b = 7 feet

c = \sqrt{7^2 + 22^2 - 2 * 7 * 22 cos 40}

c = \sqrt{533 - 308 * 0. 7660}

c = \sqrt{533 - 235. 93}

c = \sqrt{297. 072}

c = 17. 24 feet

Using sine rule

\frac{a}{sin A }  = \frac{c}{sin C}

\frac{a}{sin 70}  = \frac{17. 24}{sin 40}

Cross multiply

a × sin 60 = c × sin 70

a × 0. 8660 = 17. 24 × 0. 9397

a = \frac{16. 20}{0. 8660}

a = 18. 7 feet long

Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

Learn more about  isosceles trapezoid here:

brainly.com/question/10187910

#SPJ1

5 0
2 years ago
What’s 43 rounded to the nearest 10!???!
Lilit [14]

Answer:

40.

  • Which is 43 closer to? 40 or 50?
  • 43 is closer to <em>40.</em>

<em>I hope this helped at all.</em>

5 0
3 years ago
Read 2 more answers
Deandra is doing her math homework. Out of 24 problems total, she completed the first 12 problems in 1 hour and the last 12 in 3
Bezzdna [24]

Answer:

6 problems per hour

Step-by-step explanation:

Total problems = 24

she completed the first 12 problems in 1 hour

The last 12 in 3 hours.

Total time = 1 hour + 3 hours

= 4 hours

unit rate for all 24 problems = total number of problems / total time taken

= 24 problems / 4 hours

= 6 problems per hour

8 0
3 years ago
Mary pays $24.00 for 5 pounds of apples. At the same price, how much would she pay
mina [271]
First calculate the price of one pound of apples
24/5
= $4.80
Then multiply it by 6
6 x 4.80
Your price is $28.80
4 0
3 years ago
6.) Convert 7.5 quarts to liters
Serjik [45]

Answer:

7.5 quarts is equal to 7.098 liters

Explanation:

multiply the value in quarts by the conversion factor '0.946352946'. So, 7.5 quarts = 7.5 × 0.946352946 = 7.097647095 liters.

8 0
3 years ago
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