All categories

3 years ago

Can someone help me with this diagram problem?

Mathematics

1 answer:

mart [117]3 years ago

6 0

Answer: the diagonal is 10 units

Step-by-step explanation:

The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.

To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 5² + (5√3)²

d² = 25 + 25×3 = 100

d = √100

d = 10 units

You might be interested in

Can someone give me a answer key for Vocabulary Test Course 1 Chapter 4 Multiply and Divide Fractions

serg [7]

Answer:https://quiz.let.com/216018638/course-1-chapter-4-multiply-divide-fractions-6ns1-6rp3-3d-flash-cards/

remove the period between quiz and let but there is a quizlet on it

Step-by-step explanation:

5 0

3 years ago

Ari stocks shelves at a grocery store.He puts 35 cans of juice in each display case.The case has 4 shelves with an equal number

ICE Princess25 [194]

Answer:

There are 8 cans on each of the equal shelves

Step-by-step explanation:

Total number of cans put in display = 35

Shelves with equal no of cans = 4 Shelves

And one shelf displays only 3 cans

Therefore, 4 shelves with equal no of cans + 1 shelf with 3 cans = 35 cans

Let us assume equal no. of cans be x

We get, 4x + 3 = 35

4x = 35 - 3

4x = 32

x = 32 ÷ 4

x = 8

<u><em>Thus, 4 shelves with equal no of cans contains 8 cans each.</em></u>

6 0

3 years ago

A random sample of 20 purchases showed the sample mean of $48.77 and the sample standard deviation s is $17.58. How large is the

laila [671]

Answer:

Step-by-step explanation:

Given data

Sample Mean (M): $48.77

Sample Size (n): 20

Standard Deviation (σ) : $17.58

Confidence Level: 80%

we know that z*-Values for 80% Confidence Levels is 1.28

the expression for margin of error is given bellow\

MOE= z*σ/√n

We can now substitute into the expression and solve for the MOE as

MOE= 1.28*17.58/√20

MOE= 22.502/4.47

MOE= 5.03

The margin of error for a 80 % confidence interval is $5.03

3 0

3 years ago

The libary has at least 5,000 books witch inequality represent the number of books,b,at the library

Mazyrski [523]

B $\geq$ 5,000

because the library has more than or = to 5000 books.

7 0

4 years ago

The school soccer team buys 3 soccer balls for every 2 players. The school volleyball team buys 7 volleyballs for every 5 player

SSSSS [86.1K]

Soccer buys more; divide each

Soccer- 3/2= 1.5
Volleyball- 7/5=1.4

Soccer buys more balls per player

6 0

3 years ago