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2 years ago

11

A triangle is formed by the building's height and shadow. Another triangle is formed by the flagpole's height and shadow. Usin

g the following diagram, find the height of the building. Show work.

1 answer:

Strike441 [17]2 years ago

4 0

Answer:

475 ft

Step-by-step explanation:

$\frac{x}{25}$ = $\frac{38}{2}$

cross multiply

2x = 950

x = 475

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Which is greater? -(-3) or -(3) ? need asap!

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It’s - ( - 3 ) because a negative times a negative equals a positive so it wouldn’t be - ( 3 ) because it would turn into a negative number and - ( - 3 ) would be positive

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3 years ago

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The sum of five consecutive numbers is 700, what is the first number?

Feliz [49]

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be <em>x.</em>

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Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).

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Solve for <em>x</em>. Combine like terms:

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Divide both sides by five. Therefore:

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a sauce recipe uses 4 cans of tomatoes in every 21/2 quarts. how many cans of tomatoes are used in each quart of the sauce?

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3 years ago

An angle, theta, is in standard position and its terminal side passes through the point (2,-1). Find the EXACT value of sin thet

Olenka [21]

Answer:

sinѲ = -1/√5 or -√5/5

Step-by-step explanation:

On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.

On the Cartesian plane we also have x, y where:

x = r cosѲ .......Equation 1

and y = r sinѲ ........Equation 2

r = √x² + y²

In the question we are given points (2,-1)

Where x = 2 , y = -1

We would solve for r by substituting 2 for x and -1 for y

r = √ 2² + -1²

r = √ 4 + 1

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In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2

y = r sinѲ

Where y = -1 and r = √5

-1 = √5 sinѲ

Divide both sides by √5

sinѲ = -1/√5

We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5

sinѲ = -√5/5

Therefore, sinѲ = -1/√5 of -√5/5

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