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Natalija [7]
4 years ago
7

Triangle RST was dilated by a scale factor of One-half. The image, triangle R'S'T', is an isosceles triangle, with each leg meas

uring 8 units.
Point Q is the center of dilation. Isosceles triangle R S T was dilated to smaller triangle R prime S prime T prime. Sides R S and R T are 8 units long.

What is the length of a leg of the pre-image, triangle RST?

4 units
8 units
16 units
20 units
Mathematics
2 answers:
andrew11 [14]4 years ago
8 0

Answer:

The length side of the pre-image is 16 units

Step-by-step explanation:

we know that

The length side of the image is equal to the length side of the pre-image multiplied by the scale factor

or

The length side of the pre-image is equal to the length side of the image divided by the scale factor

in this problem we have that

The scale factor is 1/2

The length side of the image is 8 units

therefore

8/(1/2)=16 units

The length side of the pre-image is 16 units

DiKsa [7]4 years ago
4 0

Answer:

16

Step-by-step explanation:

just took the test (:

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At the state fair 4 employees were paid $8.20 an hour to work at a corn-dog stand. They worked for 10 hours at regular pay and t
Katen [24]

Answer:

<u>The four employees earned $ 452.80 in total</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Hour rate = $ 8.20

Overtime hour rate = $ 2.20 extra

Regular hours = 10

Overtime hours = 3

Number of employees = 4

2. How much money did they earn in total?

Let's find out the individual pay for an employee and then we'll calculate the pay for the 4 employees:

Individual pay = 10 * 8.20 + 3 * 10.40

Individual pay = $ 113.20

Total pay = Individual pay * 4

Total pay = 113.20 * 4

<u>Total pay = $ 452.80 </u>

6 0
3 years ago
One bag of bird seed weighs 20.25 pounds. What is the weight of 7 bags of the bird seed?
iren2701 [21]

Answer:

141.75 pounds

Step-by-step explanation:

20.25* 7 = 141.75 pounds

You could also add 20.25 + 7 seven times.

4 0
2 years ago
Read 2 more answers
An athlete eats 45 g of protein per day while training. How much protein will she eat during 17 days of training?
My name is Ann [436]
She eats 45 grams of proteins per day. There is 17 days.

Multiply the two numbers together.

45 x 17 = 765.

the Athlete eats 765 grams of protein during those 17 days of training.


hope this helps
3 0
4 years ago
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an airplane uses 79% of a tank of fuel to fly 1,496 miles. If a full tank holds 996 gallons of fuel, how many gallons would the
bekas [8.4K]
It would take roughly 1586.3031 gal to fly 3016 mi
4 0
4 years ago
The pulse rates of 174 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample siz
Daniel [21]

Answer:

a. The sample size is approximately 97 adults

Step-by-step explanation:

The given parameters are;

The number of adults surveyed, n = 174

The lowest value of the pulse rate = 39 bpm

The highest value of the pulse rate = 111 bpm

The level of confidence used for determining the sample size = 90%

The given sample mean = 3 pm of the population mean

a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range

The range = 111 bpm - 39 bpm = 72 bpm

Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm

The sample size, 'N', is given as follows;

N = \dfrac{z^2 \cdot p \cdot q}{e^2}

Where;

N = The sample size

z = The confidence level, 90% (z-score at 90% = 1.645)

p·q = σ² = 18² = 324

e² = 3² = 9

N = \dfrac{1.645^2  \times 324}{3^2} = 97.4169

Therefore the appropriate sample size, N ≈ 97 adults.

8 0
3 years ago
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