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Anestetic [448]
3 years ago
13

What is the volume of a prism where the base is a 45-45-90 triangle with a leg of 5 in. when the height is 1.8 in.?

Mathematics
1 answer:
Basile [38]3 years ago
6 0

V = 22.5 cu in

V = (1/2)(5)(5)1.8)

Hope this helps!

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I need help with #16. please show an example, i do not get this,
serious [3.7K]

Here's a diagram showing how to combine angles LDA (in red) and angle ADE (in blue). Hopefully it becomes a bit clearer why these two angles add up to line segment LE. Erase the shared segment DA if it helps show LE better.

See attached image below.

3 0
4 years ago
You previously found the mean of this data set. Use that in answering the question. 63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25,
kicyunya [14]

Answer:

Sum of squares of differences = 11239.74

Step-by-step explanation:

We are given the following data set:

63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25, 93, 22, 90, 79

We have to calculate the sum of square of the data set.

Formula:

\text{Sum of square of differences} = \sum (x_i -\bar{x})^2

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{962}{15} = 64.13

Sum of squares of differences =

1.284444444 + 618.3511113 + 776.5511113 + 78.61777778 + 221.0177779 + 61.88444445 + 908.0177776 + 791.4844443 + 892.017778 + 1860.484444 + 1531.417778 + 833.2844446 + 1775.217777 + 669.0844446 + 221.0177779

= 11239.74

3 0
3 years ago
Which is the solution to the inequality? y minus 27 greater-than-or-equal-to negative 13 y greater-than-or-equal to negative 40
djyliett [7]

Answer:

y\geq 14

y greater than or equal to 14

Step-by-step explanation:

Given the inequality:

y-27\geq -13

We solve it by isolating the variable y on one side. That is, in our case we add 27 to both sides and get:

y-27\geq -13\\y\geq 27-13\\y\geq 14

3 0
3 years ago
Read 2 more answers
The graph shows the relationship between hours worked and total earnings for a store clerk. Let h represent hours worked and e r
Dovator [93]

Answer:

The answer is C.

Step-by-step explanation:

y = kx → e =

30

4

h → e = 7.5h

The independent variable is hours worked, h, and the dependent variable is total earnings, e. The independent variable is the input value of a function. The dependent variable is the output value of a function.

8 0
3 years ago
A container can hold quarts of 8 3/5cooking oil. It contains 1 1/3 quarts of cooking oil. How much more cooking oil is needed to
Mamont248 [21]

Answer:

4 14/15

Step-by-step explanation:

8 3/5 - 11/3

8 9/15 - 55/15

8 9/15 - 3 10/15

7 24/15 - 3 10/15

4 14/15

6 0
3 years ago
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