Hector must find the sum of 50 + 83 + 50 by using mental math. Which property allows Hector to simplify the equation to 50 + 50
2 answers:
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Answer:
8 -
Step-by-step explanation:
For this problem you have to use the 45-45-90 triangle theorem and 30-60-90 theorem.
For 45-45-90, the isosceles sides = 4, so the hypotenuse of the 30-60-90 triangle is 4 times 2, which is 8. If x is 8, then since y is the side across from the 60 angle, y is . Since this really can't be simplified after y is subtracted from x, the final answer is just 8 -
.
Answer: Section formula
Step-by-step explanation:
Given
The line segment AB with endpoints and
is divided by a point X in the ratio 1:2
To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.
We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.
Answer:
Stain required to stain the ramp = 2 quarts
Step-by-step explanation:
Area of the wheelchair ramp to be stained = Surface area of the ramp - Area of the rectangular base
Surface area of the ramp = 2(area of the triangular base) + (perimeter of the base)(height)
Area of the triangular base =
=
= in²
Perimeter of the triangular base =
= 25 + + 25 +
= 50 +
= 50 +
= ft
Surface area of the ramp = +
- 25×5
=
=
= 187.92 square feet
Since, 100 square feet area is covered by the stain = 1 quart
Therefore, 187.92 square feet will be covered by the stain =
= 1.8792
≈ 2 quarts