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Dahasolnce [82]
3 years ago
7

According to this diagram, what is the sin of 28?

Mathematics
2 answers:
vivado [14]3 years ago
8 0
I think the answer may be C
xxTIMURxx [149]3 years ago
8 0

Answer:

The answer is the option C

\frac{8}{17}

Step-by-step explanation:

we know that

In the right triangle of the figure

Let

x-------> opposite side angle 28\°

y-----> hypotenuse

sin(28\°)=\frac{x}{y}

in this problem we have

x=8\ units

y=17\ units

substitute the values

sin(28\°)=\frac{8}{17}

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From a window 20 feet above the ground, the angle of elevation to the top of a building across
lions [1.4K]

the solution is in the above picture.

4 0
3 years ago
How do you solve this?
puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let x represent the width.

Since the length is 7 feet longer, we can represent the length by x+7.

Now that we have our values for the length and the width we can multiply them together to find our area.

(x)(x+7)=x^{2} +7x

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

(x+7)(x+14)

And multiply our area by 3.

3(x^{2} +7x)

set these equal to each other to find your new equation.

(x+7)(x+14)=3(x^{2} +7x)

Now you need to solve for x. To do this first muliply (x+7) and (x+14).

(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98

Then multiply 3(x^{2} +7x)

3(x^{2} +7x)=\\3x^{2} +21x

Now you can begin solving for x.

x^{2} +21x+98=3x^{2} +21x

Subtract x^{2} from both sides.

21x+98=2x^{2} +21x

Subtract 21x from both sides.

98=2x^{2}

Divide by 2.

49=x^{2}

And finally take the sqaure root of both sides.

\sqrt{x^{2} }=\sqrt{49}\\x=7

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 <em>and</em> -7, in this case we <em>only </em>get +7.

Now that we have the value of x, we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0
3 years ago
Find the volume of the pool shown. It consists of two prisms.
AfilCa [17]
The volume of the pool is 1,620 ft cubed
7 0
3 years ago
Read 2 more answers
D<br> E<br> F<br> Using the Pythagorean Theorem, which of the following is true?
yaroslaw [1]

Answer:

D

Step-by-step explanation:

5 0
2 years ago
Which equation in slope intercept represents the line that goes through the points (-1, 6) and (1, -2)
Afina-wow [57]

Answer:

D) y=-4x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-6)/(1-(-1))

m=-8/(1+1)

m=-8/2

m=-4

y-y1=m(x-x1)

y-6=-4(x-(-1))

y-6=-4(x+1)

y=-4x-4+6

y=-4x+2

3 0
3 years ago
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