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amid [387]
2 years ago
7

D ÷ 20 = 0.81 d = ? what is d?

Mathematics
1 answer:
Wittaler [7]2 years ago
8 0

Answer: 16.2

Step-by-step explanation:

i used the calculator

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You start driving north for 6 miles, turn right, and drive east for another 19 miles. At the end of driving, what is your straig
Anton [14]

Answer:

Okay, here's the method I'm going to use.

If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.

                    19 miles

           l_______________

6 milesl

           l

You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.

a^2 + b^2 = c^2

6^2 + 19^2 = c^2

36 + 361 = c

397 = c

\sqrt{397} = 19.924859

Rounded to the nearest tenth, your answer is

19.9 miles

5 0
2 years ago
7. Triangles CDE and RST are similar triangles. What is
andreyandreev [35.5K]

Answer:

CD = 25 ft

Step-by-step explanation:

\triangle CDE \sim \triangle RST

\therefore \frac{CD}{20}=\frac{40}{32}

(Corresponding sides of similar triangles are in proportion)

\therefore \frac{CD}{20}=\frac{5}{4}

\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}}

\therefore CD = 5\times 5

\therefore CD = 25\: ft

6 0
3 years ago
Read 2 more answers
13. Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine v
suter [353]
Since the Power is directly proportional to the velocity, their ratio \frac{P}{v^{3} } is constant.

<span>Therefore </span>\frac{500}{ 10^{3} } = \frac{x}{ 12^{3} } which is a proportion:

500 : 1000 = x : 1728

that can be easily solved:

x = (500×1728)/1000 = 864kW

8 0
3 years ago
Read 2 more answers
De los 125 alumnos que hay en 5 grado, 3/4 de ellos tienen celular. Cuántos alumnos no tienen celular?
bogdanovich [222]

Answer:

31 alumnos no tienen celular

Step-by-step explanation:

Si 3/4 de los alumnos tienen celular, entonces 1/4 de ellos no tienen celular.

1/4 de 125 =

= 0.25 * 125

= 31.25

8 0
3 years ago
Four lawn sprinkler heads are fed by a 1.9-cm-diameter pipe. The water comes out of the heads at an angle of 35° above the horiz
klemol [59]

Answer:

Step-by-step explanation:

Given:

Angle, θ = 35°

Vertical distance, Δx = 6 m

Diameter, d = 1.9 cm

= 0.019 m

A.

When the water leaves the sprinkler, it does so at a projectile motion.

Therefore,

Using equation of motion,

(t × Vox) = 2Vo²(sin θ × cos θ)/g

= Δx = 2Vo²(sin 35 × cos 35)/g

Vo² = (6 × 9.8)/(2 × sin 35 × cos 35)

= 62.57

Vo = 7.91 m/s

B.

Area of sprinkler, As = πD²/4

Diameter, D = 3 × 10^-3 m

As = π × (3 × 10^-3)²/4

= 7.069 × 10^-6 m²

V_ = volume rate of the sprinkler

= area, As × velocity, Vo

= (7.069 × 10^-6) × 7.91

= 5.59 × 10^-5 m³/s

Remember,

1 m³ = 1000 liters

= 5.59 × 10^-5 m³/s × 1000 liters/1 m³

= 5.59 × 10^-2 liters/s

= 0.0559 liters/s.

For the 4 sprinklers,

The rate at which volume is flowing in the 4 sprinklers = 4 × 0.0559

= 0.224 liters/s

C.

Area of 1.9 cm pipe, Ap = πD²/4

= π × (0.019)²/4

= 2.84 × 10^-4 m²

Volumetric flowrate of the four sprinklers = 4 × 5.59 × 10^-5 m³/s

= 2.24 × 10^-4 m³/s

Velocity of the water, Vw = volumetric flowrate/area

= 2.24 × 10^-4/2.84 × 10^-4

= 0.787 m/s

7 0
3 years ago
Read 2 more answers
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