Which is a solution of the inequality?p + 4 – 2(p – 10) > 0
2 answers:
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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.
Now, subtract that from 207 to get the height of the smaller building.
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.
Distributive property
Subtract both sides by 1 and 2x
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! :)
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.
Now, subtract that from 207 to get the height of the smaller building.
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.
Distributive property
Subtract both sides by 1 and 2x
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! :)
Answer:
100.26
Step-by-step explanation:
You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.
This is what that would look like:
1. Divide 6 (the diameter) by 2 because
2. plug into the formula
3. square the 3
4. multiply 9 by 3.14 (pi)
This means the area of both the semi circles added together would equal 28.26
Then you would use the formula to find the area of the rectangle
1. plug in the numbers given
·
2. solve
Then add the area of the semicircles to the area of the rectangle
to get the area of the entire figure: