1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inga [223]
3 years ago
5

A metal frame is constructed in the form of an isosceles trapezoid. Each base angle measures 80°, the length of the base is 7 fe

et, and each of the nonparallel sides is 5 feet long. Determine the length of a diagonal brace to the nearest whole number.
Mathematics
1 answer:
jonny [76]3 years ago
3 0
Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.
You might be interested in
A rectangular prism has a length of 12 cm and a width of 4 cm. if the volume of the prism is 240 cm 3 , what is the height?
Keith_Richards [23]
The formula for volume of a rectangular prism is L x W x H

we can replace the letters with the information given and then solve for the missing letter:

240 cm^3 = 12 x 4 x H

multiply 12 and 4:

240 = 48 x H

now to solve for H divide both sides by 48:

h = 240/48
H = 5
 the height is 5 cm
6 0
3 years ago
kojo wants to be an author. To improve his writing skills, every day after school he writes 3 pages of a story he is working on.
Aleksandr-060686 [28]

Answer:

(a) 3d=81

(b) 27

Step-by-step explanation:

every day, kojo write 3 pages

number of days he has written his story= d days

therefore number of pages he has written= 3d

from the final sentence,

3d= 81

<h3>(a) the equation to describe the situation: </h3><h3>3d= 81</h3>

(b) number of days kojo has been writing his story

3d= 81

dividing through by d

3d/3= 81/3

d = 27

<h3>therefore number of days = 27</h3>

4 0
2 years ago
Mike scored 38 points in the first half of the basketball game, and he scored p points in the second half of the game. Write an
Vladimir [108]


38 + p

He scored 58 points total if she scored 20 in the second half


Adding up the number of the points earned in the first half (38) and the number of points earned in the second half (p) will give you the total points.

If he scored 20 points in the second half of the game, then you can change the expression to:

38 + 20

Because now you know what he scored in both the first half and the second half. Then you can add them together to get the answer of 58

6 0
3 years ago
Read 2 more answers
Engage and Persevere The measure of ∠A in △ABC is twice the measure of ∠B , and the measure of ∠C is 20° less than the measure o
Brilliant_brown [7]

Answer:

A = 100

B = 50

C = 30

Step-by-step explanation:

You can make this equation to solve:

2x+x+x-20=180

4x-20=180

   +20  +20

4x=200

divide both sides by 4

200/4 = 50

x=50, B = x = 50

2x = 100 = A

x-20 = 30 = C

6 0
2 years ago
A swimmer swam 0.2 mi at 0.0323 mi per min in waters created by melted sea ice.
77julia77 [94]

Answer:

6.1919504644 minutes

Step-by-step explanation:

time = distance/speed

0.2/0.0323=6.1919504644

6 0
3 years ago
Other questions:
  • How strongly do physical characteristics of sisters and brothers correlate? here are data on the heights (in inches) of 11 adult
    7·1 answer
  • nuala drives to her grandma's. she drives at 20 miles per hour. the journey takes 50 miles. how long would the journey take if N
    9·1 answer
  • Determine the 18th shape in the pattern
    14·2 answers
  • Franklin drew a number line from zero to one to show 2/5 how many parts should you divide the distance from 0 to 1
    9·2 answers
  • Work out the value of X
    6·1 answer
  • Explain how to solve your equation to find how
    13·1 answer
  • <img src="https://tex.z-dn.net/?f=5%20%2B%20%20%5Cfrac%7Bx%20-%202%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7Bx%20%2B%203%7D%7B8%7D%20" i
    6·1 answer
  • The complex number -5i has the complex trigonometric form of 5(cos 270o + isin 270o) Determine if the statement given is true or
    7·2 answers
  • April went to a shopping mall. She spent $28.95 on a jacket, $12.75 on a belt, and $6.59 on socks, before tax. The tax rate was
    13·1 answer
  • Area of triangle Question 4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!