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Oksi-84 [34.3K]
2 years ago
9

Josiah and Tillery have new jobs at YumYum’s Ice Cream Parlor. Josiah is Tillery’s manager. In their first year, Josiah will be

paid $14 per hour, and Tillery will be paid $7 per hour. They have been told that after every year with the company, they will each be given a raise of $2 per hour. Is the relationship between Josiah’s pay and Tillery’s pay rate proportional? Explain your reasoning using a table and in words.
*add 2 for each box for each person; then do y/x division to see if there is a constant; K. Explain
Mathematics
1 answer:
Katyanochek1 [597]2 years ago
8 0

Answer:

16 and 9

Step-by-step explanation:

2+14=16 7+2=9

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The perimeter of a rhombus is 180 cm and one of its diagonals is 72 cm. Find the length of the other diagonal and area of the rh
rewona [7]

Hi there! :)

<u>Answer:</u>

Length of the second diagonal: 54 cm

Area of the rhombus: 1,944 cm²


Step-by-step explanation:

1) To find the value of the second diagonal, you first need to know some important properties of rhombuses:

Since the perimeter is 180, and by definition a rhombus has four congruent sides (of equal length), each side length of the rhombus is equal to 45.

The diagonals of rhombuses also form four right triangles, with hypotenuses equal to the side length of the rhombus and legs equal to half the lengths of the diagonals. In this case one hypotenuse would be equal to 45 and one leg would be equal to 36 (72 ÷ 2 = 36).

We can therefore use the Pythagorean Theorem to solve for one-half of the unknown diagonal:

c² = a² + b² → Where "c" is the hypotenus & "a" and "b" are the two other sides.

<u>45² = 36² + b²</u> → Where "b" is the half of the unknown diagonal.

We can now solve this equation for "b":

<u>45²</u> = <u>36²</u> + b²

45² = <u>2,025</u>

36² = <u>1,296</u>

2,025 = <u>1,296</u> + b²

Subtract "1,296" from each side of the equation → 2,025 - 1,296 = <u>729</u>

729 = b<u>²</u>

Square root on each side of the equation → √729 = <u>27</u>

<u>27 = b</u>

Since "b" represents half of the unknown diagonal, we need to multiply by 2 to find the full length of the diagonal:

27 × 2 = <u>54 ⇒ Length of the other diagonal.</u>


2) To find the area of the rhombus, you need to multiply the length of the 2 diagonals and divide the answer by 2:

<u>(72 × 54)</u> ÷ 2 = A

Multiply "72" & "54" together → 72 × 54 = <u>3,888</u>

<u>3,888 ÷ 2</u> = A

<u>1,944 = A</u>


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
1/2 of 30 = 1/4 of ??
Leto [7]

Answer:60

Step-by-step explanation:

⅟₂ of 30=15

¼ of 60=15

<h3>Half of thirty is 15 so u need to know what ¼ of something makes 15 so all u have to do is times 15 by 4 and there got ur answer this will not go for every question tho</h3>
4 0
3 years ago
The value of the 8th term is 78.
trapecia [35]

Answer:

108

Step-by-step explanation:

4 0
2 years ago
A motorcycle insurance company has 5,000 policy holders, and the accident rate is 0.08. the company needs to invest $400,000 thi
Oksi-84 [34.3K]

When the insurance company want a plan with a deductible of $4,000, they need to charge a minimum of $18000 for premiums.

<h3>What is a deductible?</h3>

It should be noted that a deductible simply means the amount of money that is paid out of the pocket of the policy holder.

From the information given, each accident costs $18,000 on average. Therefore, this is the minimum amount of premium.

When they want a plan with a premium of $1,000, the amount that they'll need to charge for deductibles will be:

= (4000/18000) × 1000

= $220

Learn more about deductible on:

brainly.com/question/5306277

#SPJ1

8 0
1 year ago
4. These two triangles are scaled copies of one another. The area of the smaller triangle
a_sh-v [17]
Is there picture of the triangles?
3 0
3 years ago
Read 2 more answers
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