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3 years ago

Equivalent Ratios in Measurement

Mathematics

1 answer:

Tanya [424]3 years ago

5 0

9514 1404 393

Answer:

96 inches in 8 ft

Step-by-step explanation:

The number of inches is 12 times the number of feet. (Each foot is 12 inches.)

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<em>Additional comment</em>

The number of inches is proportional to the number of feet, so the number of inches in 8 feet will be half the number of inches in 16 feet. You may find it easier to divide the table value 192 inches by 2 than to multiply 8 feet by 12.

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Step-by-step explanation:

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3 years ago

Find the sum. <br> Homework: 9.4 arithmetic series

RUDIKE [14]

Answer:

Step-by-step explanation:

a1 = 3(1) - 7 = - 4

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d = a2 - a1

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d = -1 + 4

d = 3

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==================

Just to check, we'll use the second summation formula

d = 3

n = 60

a1 = -4

Sum = (2*a1 + (n - 1)*d )*n / 2

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Sum = (-8 + 59*3) * 30

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Sum = 5070

Same answer.

5 0

3 years ago

Find the x intercept and the y intercept of -x+2y=8

vekshin1

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Solve the inequality below for x. -3.2(2x-1) less than or equal to 17.6

zhenek [66]

$- 3.2(2x - 1) \leqslant 17.6 \\ - 6.4x + 3.2 \leqslant 17.6 \\ - 6.4x \leqslant 14.4 \\ x \geqslant 2.25$

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3 years ago

In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.

ankoles [38]

<h2>Answer:</h2>

$\boxed{\overline{MN}=37.96}$

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find $\overline{MN}$ . Since:

$\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm$

and $\overline{MN}$ is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

$\overline{RN}=\overline{QN}$

By Pythagorean theorem, for triangle NQP:

$\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}$

Applying Pythagorean theorem again, but for triangle MQN:

$\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}$

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3 years ago