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2 years ago

Need the answer for 18 please!!!

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

6 0

Answer:

D (2, 1)

Step-by-step explanation:

Fir an in-detailed representation, image below

Started with plotting the given center (yellow)
From the center: go 5 units up, down, right and left (light blue)
You will have 5 points plotted now
connect the light blue dots to form a circle (red, not to scale!)
Now, locate every choice point, which one is on the red line?
D!!!!!

Learn more about Circles here: brainly.com/question/10368742

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

Find the product. (102)3

stich3 [128]

The answer is 306.......

8 0

3 years ago

Read 2 more answers

Subtract. (4/5p+1/2)-(1/4p-3) <br><br> A: 21/20p-5/2 <br><br> B: 1/5p-7/2 <br><br> C: 11/20p+7/2

Leto [7]

Answer:

Step-by-step explanation:

I think it's A because it mostly multiplies then adds and subtracts so you get your answer doing this

8 0

2 years ago

A,B,C,D are points on the circumference of a circle centre o

Marina86 [1]

The points A,B,C,D make up the circumference of the circle

The measure of angle BAD is 65 degrees

<h3>How to determine the measure of angle BAD?</h3>

The measure of angle ODB is given as:

ODB = 25 degrees

Considering the triangle BOD, we have:

ODB + BOD + DBO = 180

Where:

ODB = DBO = 25

So, we have:

25 + BOD + 25 = 180

Solve for BOD

BOD = 130 degrees

The angle at an arc is twice the angle at the circumference.

So, we have:

BOD = 2 * BAD

Substitute 130 for BOD

130 = 2 * BAD

Divide both sides by 2

65 = BAD

Hence, the measure of angle BAD is 65 degrees