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2 years ago

Five squares are positioned as shown. The small square indicated has area 1 . What is the value of h?

Mathematics

1 answer:

shepuryov [24]2 years ago

4 0

Answer:

Step-by-step explanation:

Each box is 1 larger than the earlier one, so the boxes are 1, 2, 3, 4, and 5.

4 + 5 is the width across the bottom

2 + 3 is the width across the top (not counting h)

9 - 5 = 4, so h = 4

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An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat

Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0

3 years ago

What is the following product? Assume y >/= 0

spin [16.1K]

$\sqrt{y^3} * \sqrt{y^3}= \sqrt{y^3*y^3}= \sqrt{y^6}=y^{ \frac{6}{2} } =y^3$

7 0

3 years ago

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How many flowers, spaced every 6 in., are needed to surround a circular garden with a 100-ft radius?

Bond [772]

Answer:

Number of flowers required = 1256

Step-by-step explanation:

Circumference of a circle is given by the formula,

Circumference = 2πr

Here, r = radius of the circle

For a circle with radius = 100 in.

Therefore, circumference = 2π(100)

= 200π

= 628.32 ft

Distance between each flower = 6 in

≈ $\frac{6}{12}$

= 0.5 ft

Number of flowers = $\frac{\text{Circumference}}{\text{Space between each flower}}$

= $\frac{628.32}{0.5}$

= 1256.63

≈ 1256

Therefore, number of flowers required = 1256

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3 years ago

23) Which graph shows a proportional relationship between x and y?

bija089 [108]

Answer:

Step-by-step explanation:

For something to be directly proportional it has to go through the origin (0,0) of the graph.

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3 years ago

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In a bag, there are 6 blue, 1 purple, 3 yellow, and 5 orange marbles. If a single choice is made from the

Dmitry [639]

Answer:

it would be a 3/15 or 1/5 chance

Step-by-step explanation:

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3 years ago

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