what do we need to know:
the radius of the semi circles;
the area of:
purple region = area of a circle = pi * r^2;
green region = base * height;
what we know:
the base, 28m;
what the sum of the two diameters is, 28;
the length of a single diameter, 14;
what we can assume:
the two semi-circles are equal, as otherwise i cannot see a way to answer this;
the radius of the two semi-circles, 7m as the two diameters = 28, & d/2 = r
what does that mean:
the height is 17m
green region area = 476 m^2
purple region area is = 153.96 m^2
This inequality should be written like this -
7/10x + 14 < 49
Answer:
Distance of the keys on ground from the base of the tower = 7.38 ft
Step-by-step explanation:
Given:
Height of tower = 94 ft
Tower is leaning and makes an angle of 85.5 degrees from the ground.
Keys are dropped from the top of the tower.
To find the distance of the keys on ground from the base of the tower.
From the data given to us we can construct a right triangle ABC.
For the Δ ABC
AB= 94 ft
∠A= 85.5°
We can apply trigonometric ratio to find side BC which is the distance of the keys on ground from the base of the tower.
Using cosine ratio: 
In Δ ABC
Multiplying both sides by AB.
Substituting value of AB and cos 85.5°
∴ 
Distance of the keys on ground from the base of the tower = 7.38 ft
Answer:
- If angle C is 90 degrees (def. of right angle) then the sum of angle A and B has to 90 degrees since angle A + B + C (90°) = 180°
Statements and Reasons:
3. Angle C is 90 degrees because of the definition of right angle.
4. Angle A + angle B + angle C is 180 degrees because of triangle sum.
5. Angle A + angle B + 90 = 180 because of substitution postulate.
6. Angle A + angle B is 90 degrees because of subtraction postulate. (subtract 90 from both sides from the equation above this step).
7. Angle A and angle B are complementary.
Answer:
60
Step-by-step explanation:
Put in Parentheses.
(5 + 1) x 10 =
Solve numbers inside parentheses.
5 + 1 = 6
Now we have 6 x 10.
6 x 10 = 60
