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3 years ago

A. 812r) and 100

Mathematics

1 answer:

White raven [17]3 years ago

5 0

Answer is C.9(3r-4) and 27r-36

Step-by-step explanation:

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A short-wave radio antenna is supported by two guy wires, 150 ft and 180 ft long. Each wire is attached to the top of the antenn

Dafna1 [17]

The distance between the anchor points of the two guy wires holding radio antenna is 181 feet (to the nearest foot)

<h3>How to determine the distance between the two anchor points of the guy wire</h3>

The problem will be solved using SOH CAH TOA

let the distance between the 150 ft long guy wire and the radio antenna be x

let the distance between the 180 ft long guy wire and the radio antenna be y

cos 65° = x / 150

x = cos 65° * 150

x = 63.39 ft

The height of the antenna

sin 65° = height of antenna / 150

height of antenna = sin 65 * 150

height of antenna = 135.95

using Pythagoras theorem

(length of guy wire)² = (height of the antenna)² + (anchor distance)²

(anchor distance)² = 180² - 135.95²

anchor distance = √(180² - 135.95²)

anchor distance = 117.97

The anchor points distance apart

= 63.39 + 117.97

= 181 (to the nearest foot)

Learn more on Pythagoras theorem here:

brainly.com/question/29241066

#SPJ1

4 0

2 years ago

In certain county, the number of charter schools is 4 less than twice the numbervof alternative schools. We know that there are

Vitek1552 [10]

1. Let's call the number of carter school: "x" and "y" the number of alternative school. Then, you have that:

- T<span>he number of charter schools is 4 less than twice the number of alternative schools.
</span> - T<span>here are 48 charter schools in the country.

2. So, you have:

x=2y-4 (i)

x=48 (ii)

3. Then, when you substitute x=48 into the equation (i), you obtain:
</span>
x=2y-4
<span> 48=2y-4

4. Now, you must clear "y, as below:

48+4=2y
2y=52
y=52/2
y=26
</span><span>
How many alternative schools are in the county?
</span><span>
The answer is: There are 26 alternative schools.</span>

6 0

3 years ago

Which of the objects shown above are pyramids?

PolarNik [594]

<h3>Answer: A and B (first answer choice)</h3>

Explanation:

Both figures shown in A and B are triangular pyramids. The base is a triangle, and the lateral sides are also triangles. Another example would be rectangular pyramids where the base is a rectangle, and the lateral sides are triangles.

Choice C is ruled out because cones aren't considered pyramids.

Choice D is a combination of a rectangular prism, and a rectangular pyramid stacked on top, so it's not purely a pyramid only. We can rule out choice D.

7 0

3 years ago

What is the equation of the line passing through the points (3,6) and (2,10)

andrezito [222]

Answer: y= - 4x+18

Step-by-step explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

m= $\frac{y2-y1}{x2-x1}$