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2 years ago

10

A safety regulation states that the maximum angle of elevation for a rescue ladder is 72º. A fire department's longest

1 answer:

Svetradugi [14.3K]2 years ago

6 0

Answer:

110sin(72°) feet

Step-by-step explanation:

In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...

Sin = Opposite/Hypotenuse

so the Opposite side will be ...

ladder height = (110 ft)sin(72°)

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BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

agasfer [191]

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is $(\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})$ , where $(x_1, y_1)$ and $(x_2 , y_2)$ are points. In this case, the point C has the values of $(x_1, y_1)$ , and B has the values of $(x_2 , y_2)$

We know that coordinates of M equal $(\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})$

In other words,

$\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6$

Let's plug 2 for $x_1$ and 10 for $y_1$

So:

$\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6$

Multiply both sides by 2

${2 + x_2} = 12\\{10+ y_2} =12$

Subtract 2 from both sides in the first equation to find the value of $x_2$ :

$x_2=10$

Now, for the second equation, subtract 10 from both sides to find the value of $y_2$

$y_2=2$

Now substitute these values for $(x_2, y_2)$

$(x_2, y_2)=(10,2)$

So the coordinates of point B are (10, 2)

Hope this helps!

3 0

2 years ago

How do you get the answer for <br> 7 1\2 - 1 1\5=

grandymaker [24]

Make them common denominators

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3 years ago

Write the equation of a line in slope intercept form that contains the points (0,2) and (3,4)

AlladinOne [14]

Answer:

Step-by-step explanation:

Generally equation of a line is given as

y=mx+c

Then given the point (x, y)=(0,2)

Therefore x=0 and y=2

y=mx+c

2=m×0+c

2=0+c

Then, c=2

Then intercept is 2

Also given the point (x, y)=(3,4)

x=3 and y=4 and c=2

y=mx+c

4=m×3+2

4=3m+2

4-2=3m

2=3m

Then, m=2/3

Then, the slope of the graph is 2/3

y=mx+c

Now, m=2/3 and c=2

The general equation of the line becomes

y=2/3x+2

Multiply through by 3

3y=2x+6

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2 years ago

Jasmine sold 90 rolls of wrapping paper.Jasmine sold 2times as many wrapping paper as Carly.How many rolls of wrapping paper did

hodyreva [135]

135 because if you divide 90 by 2 you get 45 then add 45 and 90 and you get 135

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2 years ago

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What is the value of x?

olchik [2.2K]

Answer:

x = 4 sqrt(2)

Step-by-step explanation:

This is a right triangle so we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = 4/x

Multiply x to each side

x sin 45 = 4/x *x

x sin 45 = 4

Divide each side by sin 45

x sin 45 / sin 45 = 4 /sin 45

x = 4/ sin 45

We know sin 45 = sqrt(2)/2

x = 4/ sqrt(2) /2

x = 8/ sqrt(2)

We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)

x = 8/ sqrt(2) * sqrt(2)/sqrt(2)

x = 8 * sqrt(2) /2

x = 4 sqrt(2)

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2 years ago

Read 2 more answers