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Serga [27]
3 years ago
11

(2/3)^2 without exponents

Mathematics
1 answer:
Goshia [24]3 years ago
6 0

Answer:

\frac{4}{9}

Step-by-step explanation:

(\frac{2}{3} )^{2} =\frac{2^2}{3^2} =4/9

Hope that helps :)

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company x has 50 employees and company y has 60 employees. both companies have the same number of full-time employees, but compa
Sloan [31]

Using the simplification, company y has 17 number of part-time employees.

In the given question we have to find how many part-time employees does company y have.

From the question, company x has 50 employees and company y has 60 employees.

Both companies have the same number of full-time employees, but company y has 3 more than twice the number of part-time employees that company x has.

Let company x has A number of part-time employees.

According the given statement

Company y has number of part-time employees = 2A+3

Let company X and Y have B number of full-time employees.

So the total number of employees in company x;

A+B = 50....................(1)

The total number of employees in company x;

2A+3+B = 60

Subtract 3 on both side we get

2A+B=57....................(2)

Subtract Equation 2 and 1

2A+B-(A+B)=57-50

2A+B-A-B=57-50

A=7

Now putting the value of A in equation 1

7+B=50

Subtract 7 on both side we get

B=43

As, Company y has number of part-time employees = 2A+3

Company y has number of part-time employees = 2×7+3

Company y has number of part-time employees = 14+3

Company y has number of part-time employees = 17

Hence, company y has 17 number of part-time employees.

To learn more about simplification link is here

brainly.com/question/2804192

#SPJ4

8 0
1 year ago
What is the exact perimeter of kite ? Show your work.
Afina-wow [57]

Answer:

<u>The perimeter of the kite is 29 units.</u>

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the perimeter of the kite:

With the information given, we have four right triangles with a new point A, intersecting UW and VX. Those triangles are:

Δ UVA

Δ VWA

Δ UXA

Δ XWA

As we can see in the figure, length of UV and VW is the same and the length of UX and WX is also the same.

2. Let's find the value of UV and VW

UV is the hypotenuse of Δ UVA and it sides are 3 and 4 units length. So, we can calculate the length of UV this way:

Length of UV ² = UA ² + VA ²

Replacing with the real values:

Length of UV ² = 3 ² + 4 ²

Length of UV ² = 9 + 16

Length of UV ² = 25

√Length of UV ² = √25

<u>Length of UV  = 5 units ⇒ Length of VW = 5 units</u>

3. Let's find the value of UX and WX

UX is the hypotenuse of Δ UXA and it sides are 3 and 9 units length. So, we can calculate the length of UX this way:

Length of UX ² = UA ² + XA ²

Replacing with the real values:

Length of UX ² = 3 ² + 9 ²

Length of UX ² = 9 + 81

Length of UV ² = 90

√Length of UV ² = √90

<u>Length of UV  = 9.5 units (rounding to the nearest tenth) ⇒ Length of WX= 9.5 units</u>

<u>4. </u>Let's calculate the perimeter of the kite:

Perimeter of the kite = UV + VW + WX + UX

Perimeter of the kite = 5 + 5 + 9.5 + 9.5

<u>Perimeter of the kite = 29 units</u>

7 0
3 years ago
PLEASE HELP ME
omeli [17]

Step-by-step explanation:

it will take you 15 minutes

7 0
3 years ago
Please answer it in two minutes
Reil [10]

Answer:

61 degrees.

Step-by-step explanation:

As long as the two figures are congruent, angle P corresponds to angle T, angle [cut off but it says 93 degrees] corresponds to angle U, angle N corresponds to angle V, and angle M corresponds to angle S.

Since we already have the value of T, we know the value of P. The measure of angle P is 61 degrees.

Hope this helps!

5 0
3 years ago
Derek's score on a test was 90 percent. He had 72 questions right. How many problems were on the test?
romanna [79]

90% = 72 questions


\\Find 1%

1 % = 72 ÷ 90 = 0.8


\\Find 100%

100% = 0.8 x 100 = 80 questions


Answer: There were 80 questions

6 0
3 years ago
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