Answer:
5) arccos A = 28°
6) arcsin A = 53°
Step-by-step explanation:
5) cos A = 30/34
6) sin A = 32/40
9514 1404 393
Answer:
- each triangle: 29.75 in²
- rectangle: 374 in²
- total area: 433.5 in²
Step-by-step explanation:
The base of each triangle is half the difference between the bases of the trapezoid:
(29 in -22 in)/2 = 7 in/2 = 3.5 in
The area of the triangle is given by the formula ...
A = 1/2bh
A = 1/2(3.5 in)(17 in) = 29.75 in² . . . triangle area
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The area of the central rectangle is the product of its base and height.
A = bh = (22 in)(17 in) = 374 in² . . . rectangle area
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The total area of the trapezoid is the sum of the areas of the two triangles and the area of the rectangle.
total area = 2(29.75 in²) + 374 in² = 433.5 in² . . . total trapezoid area
Let N is the number
75% x N = 450
75/100 x N = 450
75N = 450 x 100
N = (450 x 100)/75
N = 600
So, the number is 600.
Answer:
42 is the smallest of the 4 numbers.
Step-by-step explanation:
The 4 consecutive integers that total 174 are 42,43,44, and 45. Therefore, 42 is the smallest out of all 4 integers.
Answer:
Step-by-step explanation:
The slope is the ratio of rise to run.
Rise is the difference of y-coordinates, run is the difference of x-coordinates.
Now, the slope is said undefined if the difference of x-coordinates is zero.
It means you have to divide by zero but it is impossible.
We have a point (- 4, - 8) and the slope is undefined.
It means our line has repeat x = -4 coordinates, it is a vertical line.
<u>Its equation will be:</u>