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Answer:
0.8<x<1.1
Step-by-step explanation:
Take 0.9<2x-0.7<1.5 add everything by 0.7 to get 1.6<2x<2.2 then divide everything by 2 to get 0.8<x<1.1
Answer:
16 children
Step-by-step explanation:
80% of 20 children comes out to 16 children who are of age 5.
If desired, rewrite "80%" as "0.80" and use that 0.80 as the multiplier of 20:
0.80(20 children) = 16 children.
The angles of elevation and depression are formed by the line of sight and the horizontal line. When the line of vision is above the horizontal line, the angle is of elevation, and if the line of sight is below the horizontal, the angle is of depression.
The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles. Then, if the angle of depression of the taller building is 15° the angle of elevation of the shorter building is 15° too. To understand this, you should see the diagram attached.
In the diagram you can notice that both angles, of elevation and depression, have the same value.
Then, the answer is:
The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles.
Answer:
Total area = 31.5 unit²
Step-by-step explanation:
Assume 1 block = 1 unit²
Divide diagram into 3 part
1. 5 by 5 block square
2. 2 by 2 block triangle(1)
2. 3 by 3 block triangle(2)
Area of square = side × side
Area of square = 5 × 5
Area of square = 25 unit²
Area of triangle(1) = [1/2][base][height]
Area of triangle(1) = [1/2][2][2]
Area of triangle(1) = 2 unit²
Area of triangle(2) = [1/2][base][height]
Area of triangle(2) = [1/2][3][3]
Area of triangle(2) = 4.5 unit²
Total area = Area of square + Area of triangle(1) +Area of triangle(2)
Total area = 25 unit² + 2 unit² + 4.5 unit²
Total area = 31.5 unit²