Answer:
Height = 8 units
Step-by-step explanation:
Area of a triangle = 
square units
= 
square units
Height of the triangle = 
units
= 
units
Formula to calculate the area of a triangle is,
Area = 
Height = 
= 
= 8 units
Therefore, height of the given triangle is 8 units.
Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
Answer:
4.5 % alloy
Step-by-step explanation:
Let x = amt of 30% alloy
The resulting total is to be 25 oz, therefore:
(25-x) = amt of 5% alloy:
A typical mixture equation:
.30x + .05(25-x) = .20(25)
.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25
.25x = 3.75
x = 3.75%2F.25
x = 15 oz of 30% alloy required
then
25-15 = 10 oz of 5% alloy:
Check solution
.30(15) + .05(10) = .20(25)
4.5 + .5 = 5
The slope is 3 and y-intercept is 4
y=mx+b
Answer:
He should buy lights that are 2088 inches long
Step-by-step explanation:
Craig has a rectangle wooden deck that measures 799 inches by 245 inches.
Let us say the length, L, is 799 inches and the breadth, B, is 245 inches.
He wants to put a string of lights around the deck.
This means that he needs to buy the length of lights that would be equal to the perimeter of the rectangular deck.
The perimeter of a rectangle is given as:
P = 2(L + B)
Hence, the length of lights he should buy is:
P = 2(799 + 245) = 2(1044)
P = 2088 inches
He should buy lights that are 2088 inches long.
