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3 years ago

Please help! I can't find any tutorial videos

Mathematics

1 answer:

Lena [83]3 years ago

3 0

The two horizontal lines are parallel ( This is given by the red triangles)

Because the lines are parallel, the two angles 1 & 2 would be the same.

Set the two equations for the angle to equal each other and solve:

8y-6 = 7y

Add 6 to each side:

8y = 7y+6

Subtract 7y from each side:

y = 6

Now you have the value for y, solve for angle 2 by replacing y with 6:

Angle 2 = 7y = 7(6) = 42 degrees.

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from a window 24 feet above the ground, the angle of elevation to the top of another building is 38 degrees. The distance betwee

Snowcat [4.5K]

Answer:

The height of the building is $73.2\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

$tan(38\°)=\frac{BC}{AB}$

we have

$AB=63\ ft$

substitute and solve for BC

$tan(38\°)=\frac{BC}{63}$

$BC=(63)tan(38\°)=49.2\ ft$

Find the height of the building

The height of the building (h) is equal to

$h=BC+24=49.2+24=73.2\ ft$

8 0

3 years ago

PLS HELP. I will give brainliest if you are correct!!!

pshichka [43]

We can see here that there are 2 triangular bases on the prism.

To calculate the area of a triangle, we multiply the base and the height and then divide by 2.

A = 8 x 6 /2

A = 48/2

A = 24

Hope it helps!

7 0

2 years ago

Find the power of 3/8^3

GREYUIT [131]

(3/8)³ = (3/8)(3/8)(3/8)

Multiply across:

(3/8) x (3/8) = 9/64

Simplify:

(9/64)(3/8) = 27/512

27/512 is your fraction answer (cannot be reduced).

To find the decimal answer, divide:

27/512 = 0.05

0.05 (rounded) is your decimal answer

hope this helps

3 0

3 years ago

The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft

Vladimir [108]

Answer:

2 trees

Step-by-step explanation:

Since the city is planting a tree every 20 feet across Dayton Avenue, then we need to find the length of the side that is on Dayton Avenue.

We are missing 3 sides to this. But it's extremely important to note that the side adjacent to Dayton Avenue is the same length as the other missing two sides combined. This is because both of these lengths contain the 1 feather and 2 feather mark - these signify congruence.

This means that the side lengths of both of them combined will be $234-52-68=114$

This means the side adjacent to Dayton Avenue is

$114\div2=57$ feet long.

Now that we know that the side is 57 feet long, we have to divide this by 20, as a tree is being placed every 20 feet. If we get a decimal, we will have to round down because it gets planted only, and only if, 20 more feet has been accomplished. If we are a fraction of the way there, a tree doesn't get planted.

$57\div20=2.85$

Rounding down gets us 2.

Hope this helped!

3 0

3 years ago

Read 2 more answers

To rent a moving truck there is a fee of $150 and each mile you drive costs an extra $1.75 per mile, where R(x) is the total cos

abruzzese [7]

Answer:

$318

Step-by-step explanation:

First, we want to set up an equation to solve this problem by using the information given to us. We're asked for the total cost, so we want one side of the equation to be $R(x)=$ . Then, we know that the initial cost is $150, no matter how many miles we drive. We are also told that each mile is $1.75.

$R(x)=150+1.75x$

The problem tells us that we are driving 96 miles, so we can plug in 96 for $x$ and solve.

$R(x)=150+1.75(96)\\R(x)=150+168\\R(x)=318$

The total cost of the rental is going to $318.

Hope this helps!

8 0

2 years ago