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Svetllana [295]
3 years ago
11

Please help thank you and show all work.

Mathematics
1 answer:
Daniel [21]3 years ago
6 0
Question 1:

Look at the first attached image.

We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.

Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.

51*tan(15)
\approx 14

Now, subtract that from 207 to get the height of the smaller building.

207-14=193

That's your answer.

Question 2:

The angle of elevation is congruent to the angle of depression because they are alternate interior angles.

Thus, you can choose the 1st and 4th choices as your answer.

Question 3:

Look at the second attached image.

Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

3x+1=2(x+8)

Distributive property

3x+1=2x+16

Subtract both sides by 1 and 2x

x=15

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.

The third choice is your answer. Hope this helps! :)

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oksian1 [2.3K]
<h3>Answer: (-infinity, 7]</h3>

=====================================

Explanation:

The first interval (-infinity, 3) describes any number less than 3, so we can write x < 3 in short hand (where x is the unknown number).

The second interval (-1, 7] means we start at -1 and stop at 7. We do not include -1 but include 7. So we say that -1 < x \le 7 (ie x is between -1 and 7; exclude -1, include 7)

If you were to graph each ona number line, you would see that the too intervals have overlapping parts. The right most edge extends out as far as x = 7. There is no left most edge as it goes onforever that direction.

Therefore, the to intervals combine to get x \le 7 which turns into the interval notation answer of (-infinity, 7]

-----------

It might help to think of it like this: x < 3 and -1 < x \le 7 say "x is some number that is less than 3, or it is between -1 and 7". So x could be anything less than 7, including 7 itself.

4 0
3 years ago
Subtract. <br> Express your answer in simplest form<br><br> 3 1/4 - 2 3/4
lord [1]
The answer to this is .5 or 1/2.
3 0
3 years ago
Read 2 more answers
There are 6 gallons in a tank that is 20% full. How many gallons are in a full tank? Use a double number line to show your work.
Alex17521 [72]

Answer: 30 gallons

Step-by-step explanation:

Let the number of gallons that are in a full tank be represented by x.

Since there are 6 gallons in a tank that is 20% full, this will be set up in an equation as:

20% × x = 6

20/100 × x = 6

0.2 × x = 6

0.2x = 6

x = 6/0.2

x = 30

There are 30 gallons in a full tank

3 0
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Please help solve please
irina1246 [14]
You just solved it.... do u need the work shown?
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Step-by-step explanation:

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