A spring balance measures?

Mathematics

1 answer:

VMariaS [17]3 years ago

5 0

Answer:

A spring balance measures the weight of an object by opposing the force of gravity acting with the force of an extended spring.

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A 4-foot tall person standing with her back to the sun casts an 6-foot long shadow.

e-lub [12.9K]

Answer: $\alpha=34\°$

Step-by-step explanation:

1. Based on the information given in the problem, you can draw the right triangle shown in the figure attached.

2. Keeping the informationn given in the problem, you can calculate the angle that the sum makes with the ground ( $\alpha$ )as you can see below:

$arctan\alpha=\frac{opposite}{adjacent}$

Where:

$opposite=4\\adjacent=6$

3. Then:

$arctan\alpha=\frac{4}{6}$

$\alpha=34\°$

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3 years ago

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The bases of the trapezoid are 6 and 10. The height is 4. Find the area.

ollegr [7]

Answer

b. 32 sq. unit

Step-by-step Explanation

The area of the trapezoid is given by

$A = \frac{1}{2} (b_{1} + b_{2}) \times h$

We substitute the given values into the formula to obtain;

$A = \frac{1}{2}(10 + 6) \times 4$

Simplify

$A = \frac{1}{2} (16) \times 4$

$A = 16 \times 2$
Hence the area is

$A = 36 \: sq \: units$