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dolphi86 [110]
3 years ago
12

Which pair of measurements is not equivalent? 24 feet, 8 yards 24 inches, 2 feet 10 feet, 120 inches 3 miles, 15,480 feet

Mathematics
1 answer:
Kisachek [45]3 years ago
7 0
12,480 feet is not equal to three miles
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Sveta_85 [38]

Answer:

4.57

Step-by-step explanation:

There are 10 lines in between 4.5 and 4.6, so we can assume each line adds 0.01

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1.) Given : S is the midpoint of RT; PR = PT
garik1379 [7]

Answer: 1.

Given: S is the midpoint of RT

PR=PT

To Prove: PRS=PTS

Step-by-step explanation:

If PR=PT in a triangle PRT, then the triangle is isosceles triangle.

Therefore,  ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)

In ▲PRS and ▲PTS

PR=PT

∠PRT=∠PTR

PS=PS (PS is common)

therefore, ▲PRS≅▲PTS

Therefore, ∠PRS=∠PTS

Hence proved.

Answer: 2.

Given: E is the midpoint of AB and CD.

To Prove: AEC=BED

Step-by-step explanation:

If AB and CD are the diagonals of rectangle, then

diagonals AB=CD,  sides AC=BD and AD=BC

In ▲AEC and ▲BED,

∠AEC=∠BED(vertically opposite angles)

AE=BE

AC=BD

therefore, ▲AEC≅▲BED

Therefore,  ∠AEC=∠BED

Hence Proved.

4 0
3 years ago
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with σ = 31.62
AysviL [449]

Answer:

A sample size of at least 737 specimens is required.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the width M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

M = 3, \sigma = 31.62

So:

M = z*\frac{\sigma}{\sqrt{n}}

3 = 2.575*\frac{31.62}{\sqrt{n}}

3\sqrt{n} = 81.4215

\sqrt{n} = 27.1405

n = 736.60

A sample size of at least 737 specimens is required.

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4 years ago
Caroline’s gross annual salary is $47,448. What is the maximum amount of rent she can afford to pay
Andrew [12]
She can afford to pay $47,448/12 in rent monthly, or $3954.
5 0
3 years ago
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