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2 years ago

A trellis consists of overlapping wooden slats.

Mathematics

1 answer:

mars1129 [50]2 years ago

5 0

The value of x in order for the two slats to be parallel is 6.

The measure of the indicated angle is 42°

What is an angle?

The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.

For the slats to be parallel. both the given angles must be equal

So,

(3x +24)° = 7x°

Solving this expression, we get

7x -3x = 24

4x =24

x = 6°

The measure of the indicated angle is

(3x +24)° = 3x6 +24

(3x +24)° = 18+24

(3x +24)° =42°

and 7x = 7x6 =42°

Thus, the measure of the angle is 42°

Learn more about angle.

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Answer:

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Step-by-step explanation:

used math.way hope this helps

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3 years ago

ted and robin each gave a basket of green apples to their friend lily. ted's basket contains 5 apples, each weighing 7 1/4 ounce

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Answer:

Step-by-step explanation:

Ted had 5 apples weighing 7¼

7¼×5=?

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116/4=29 ounces

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3 years ago

The area of a playground is 216 yd^2. The width of the playground is 6 yd longer than its length. Find the length and width of t

zvonat [6]

Let the length of the playground be x, then the width is 6 + x.

Area = length * width = x * (6 + x) = 6x + x^2 = 216

Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18

i.e length = 12 and width = 6 + 18 = 18

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3 years ago

PARAMETRIC EQUATIONS HELP!!!

Alona [7]

Answer:

1. Option A

2. Option B

Step-by-step explanation:

I would like to elaborate on the answer to the second question, since the first answer is actually option a. Why? The question asks for a parametric equation, not set, so it would be choice a.

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3 years ago

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.

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3 years ago