The volume of the original prism is calculated by multiplying the area of the base by the height,
volume = (8 cm²)(6 cm) = 48 cm³
By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,
x / 48 cm³ = (5/4)³
The value of x from the equation above is equal to 93.75 cm³.
Answer:
Step-by-step explanation:
Given that reading on thermometer is N (0,1)
7% of the thermometers are rejected because they have readings that are too low, but all other thermometers are acceptable
This implies that we have to find out the 7th percentile.
i.e. Z score = -1.475
Hence the temperature for cutoff is below -1.475 degrees.
the temperature reading corresponding to the given information.=-1.475 deg
Answer:
- no question content
- (x, y) = (1/2, 4)
- (x, y) = (2, 10)
Step-by-step explanation:
1. No link, no question
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2. Divide the first equation by 2 and substitute for y using the expression in the second equation.
2x +(4x+2) = 5
6x = 3 . . . . . . . . . subtract 2
x = 3/6 = 1/2 . . . . divide by2
y = 4(1/2) +2 = 4 . . . . substitute into the equation for y
The solution is (x, y) = (1/2, 4).
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3. The solution using a graphing calculator is (x, y) = (2, 10). (see attached)
Answer:
11
Step-by-step explanation:
42 + 39= 81 and you need to get to 180 so the 3rd angle would be 99 so 99 dived by 9 is 11 so x=11
Do the ratio of the two sides. To get the area square the two sides.
(9/15) ratio of sides
(9/15)^2 ratio of areas
81/225
Multiply for the known area
90*(81/225) = 162/5 = 32,4 sq. inches (area of corresponding triangle)
