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3 years ago

Find the value of angle x

Mathematics

1 answer:

garri49 [273]3 years ago

8 0

Note:

ummm where are the angle x its just a black picture.........

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Using the curve of best fit, what would be the output (y) when the input (x) is 7?

IrinaVladis [17]

Answer:

y = 260

Step-by-step explanation:

locate x = 7 on the x- axis, go vertically up to meet the graph at (7, 260 )

when input is 7 then output y = 260

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3 years ago

If someone runs 4 meters per second, how many kilometers is that per hour?

Vesna [10]

Answer:

14.4 km/h

Step-by-step explanation:

When finding km/h given m/s always multiply by 3.6

When finding m/s given km/h do the vice versa (divide by 3.6)

So.. 4km/h x 3.6 = <u>14.4 km/h </u>

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4 years ago

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4 years ago

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Which expression is equivalent to x6 – 9?

Cerrena [4.2K]

Answer:

12-9

Step-by-step explanation:

If 'x' value is 2

Then x*6 - 9

Then x*6 = 12

Then x*6-9 = 12-9

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4 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

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3 years ago