Answer: $498.08
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Y = -41.
EXPLANATION.
if -5 is the midpoint, it must be -5 + 36.
Because there is 36 numbers between 31 and -5.
So -5 + 36 = -41.
Step-by-step explanation:
To determine what the height of the ladder reaches up the wall we need to know the height of ladder which is not provided in the question.
So if I assume the height of ladder to be 10ft( just a general assumption)
Then, inclined ladder, wall and distance been the bottom of the ladder and wall will form a right angle triangle.
where height of ladder will be hypotenuse, height of the ladder reaches up the wall will be perpendicular and distance been the bottom of the ladder and wall will be base.
Since, A ladder is inclined at 23 degrees against the wall
⇒ height of the ladder reaches up the wall = Height of ladder×sin23°
= 10ft × sin23° = 3.9073 ft
Answer:
24 mm
Step-by-step explanation:
Since it is a right triangle, we can use Pythagorean theorem

where a and b are the legs, and c is the hypotenuse.
We know one of the legs is 10, and the hypotenuse is 26, so we can substitute 10 in for a, and 26 in for c.

Solve the exponents

Now, solve for b. To do this, get b by itself.
First, subtract 100 from both sides


Take the square root of both sides

b=24
So, the other leg is 24 mm
Answer:
D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.
Step-by-step explanation:
The coordinates of triangle A are (-2,1) , (1,1), (1,-1) and (-2, -1) while that of triangle B are (-3, 6), (3, 6), (3, -3) and (-3, 3).
To transform A to be we need a combination of two transformations, and that is dilation and rotation.
If A is dilated by a scale factor three through the origin as the center of dilation and then rotated through 90° clockwise with the origin as the center of origin, then rectangle B will be obtained.