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andrezito [222]
3 years ago
14

Find the volume of the prism.

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer:

102

Step-by-step explanation:

first you have to multiply 8 by 12 and then add the some with the leftover number

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A student wanted to find the sum of all the even numbers from 1 to 100. He said:
murzikaleks [220]

Answer:

The statements are incorrect as: The sum of even numbers from 1 to 100(i.e. 2550) is not double\twice of the sum of odd numbers from 1 to 100(i.e. 2500).

Step-by-step explanation:

We know that sum of an Arithmetic Progression(A.P.) is given by:

where 'n' denotes the "number" of digits whose sum is to be determined, 'a' denotes the first digit of the series and '' denote last digit of the series.

Now the sum of even numbers i.e. 2+4+6+8+....+100 is given by the use of sum of the arithmetic progression since the series is an A.P. with a common difference of 2.

image with explanation

Hence, sum of even numbers from 1 to 100 is 2550.

Also the series of odd numbers is an A.P. with a common difference of 2.

sum of odd numbers from 1 to 100 is given by: 1+3+5+....+99

.

Hence, the sum of all the odd numbers from 1 to 100 is 2500.

Clearly the sum of even numbers from 1 to 100(i.e. 2550) is not double of the sum of odd numbers from 1 to 100(i.e. 2500).

Hence the statement is incorrect.

Step-by-step explanation:

3 0
3 years ago
A table of values of a linear function is shown below.
ikadub [295]

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-6-(-3)}{0-(-1)}

$m=\frac{-6+3}{0+1}

$m=\frac{-3}{1}

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

3 0
3 years ago
the length of 3 peices of wire are in the ratio 10:15:8.if the length of the shortest peice of wire is 2.4 find the difference i
dalvyx [7]
10:15:8
3:4.5:2.4
The difference = 1.5
7 0
3 years ago
(b) Give an estimate to the nearest hundreds for . Explain how you determined your estimate and tell what means in context of th
Nitella [24]
Hi! hope this helped B(d) is a function of the number of days d since she opened the account.B(0) is the balance at day=0 now, since the length of segment OA is half of the length of segment OB, and the length of segment OB is proportional to the max balance, namely $400, then the segment OA is proportional to 400/2=200

5 0
3 years ago
You are at a restaurant and the check comes to a total of $75. If you want to leave an 18% tip, how much total money should you
Greeley [361]

Answer:

93

Step-by-step explanation:

4 0
3 years ago
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