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2 years ago

What is the scale factor of polygon qrstu to poligon defgh

Mathematics

1 answer:

koban [17]2 years ago

5 0

Answer:

Step-by-step explanation:

Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.

$\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}$

Therefore, the correct answer is choice A. Hope this helps!

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Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign

ikadub [295]

Answer:

508.8 seconds

Step-by-step explanation:

The most accurate determination mathematically is to assume that Lola will maintain an average of 5.3 seconds per signature as she signs all 96 invitations.

Therefore, multiply the time it takes her to sign each invitation (5.3 seconds) by the total number of invitations there are (96 invitations) to get the projected total amount of time that it will take Lola to sign all 96 invitations: $96\cdot 5.3=\boxed{508.8\text{ seconds}}$

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2 years ago

Read 2 more answers

Expand 4x(7x-11) expand 3x(7-5x) Can someone help me with tge questions above?

melamori03 [73]

( 7 x - 11 )

( 7 - 5x )

4 0

2 years ago

Read 2 more answers

A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam

tatuchka [14]

Answer: $(15.263,\ 17.537)$

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

$\overline{x}=16.40$

$s=4.00$

Since population standard deviation is unknown, so we use t-test.

Critical value for 95 percent confidence interval :

$t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010$

Confidence interval : $\overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}$

$16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)$

Required 95% confidence interval : $(15.263,\ 17.537)$

8 0

2 years ago

based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why triang

quester [9]

Hi :) Firstly we look at the side that is actually the same. How many sides are there that are the same? Next, we note the number of angles that are the same.

3 0

2 years ago

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You invested a total of $12,000 at 4.5 percent and 5 percent simple interest. During one year, the two accounts earned $570. How

Luda [366]

Answer: You invested $6000 in both accounts.

Step-by-step explanation:

Let x represent the amount invested in the account earning 4.5% interest.

Let y represent the amount invested in the account earning 5% interest.

You invested a total of $12,000 at 4.5 percent and 5 percent simple interest. This means that

x + y = 12000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5%

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 5%

I = (y × 5 × 1)/100 = 0.05y

During one year, the two accounts earned $570. . This means that

0.045x + 0.05y = 570 - - - - - - - - - - 1

Substituting x = 12000 - y into equation 1, it becomes

0.045(12000 - y) + 0.05y = 570

540 - 0.045y + 0.05y = 570

- 0.045y + 0.05y = 570 - 540

0.005y = 30

y = 30/0.005 = 6000

x = 12000 - y = 12000 - 6000

x = $6000

6 0

2 years ago