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borishaifa [10]
3 years ago
7

The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The height of the prism is 16.51 meter

s. What is the lateral area of the prism in square meters?
Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

379.73 square meters

Step-by-step explanation:

formula: AL=(a+b+c)h

AL=(5+8+10)*16.51

AL=(23)*16.51

AL=379.73

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Determine the first expression to evaluate in each problem (3+3)+6÷3+6
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To know what to do first in a math problem we look to order of operations... PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction.  So to begin we look for parentheses... do we have any?  Why, yes, yes we do.  Let's work!

(3+3) + 6 / 3 + 6 =

Add 3+3 in the parentheses. Since there is nothing else, the parentheses can go away.

6 + 6 / 3 + 6 =

Now, any exponents? Nope... Multiplication? Nope... division?  Yes!  Let's go!

6 + 2 + 6 =

Now all we have left is addition... Go for it!

8 + 6 = 14

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3 0
3 years ago
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The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Judy attended all of the sessions thi
lbvjy [14]

The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Then the, total number of minutes Judy worked out for the week was 155 minutes.

We are to determine the total number of minutes Judy worked out for the week.

The gym holds three 45-minute workout sessions and two 30-minute sessions each week

So,

We can write,

The total number of minutes the gym holds workout sessions is

3 × 45 + 2 × 30

= 135 + 60

= 195 minutes

Also, from the information,

Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions.

The total number of minutes Judy didn't attend is

= 3 × 10 + 2 × 5

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Then,

The total number of minutes Judy worked out for the week was,

= 195 minutes - 40 minutes

= 155 minutes

Therefore,

The total number of minutes Judy worked out for the week was 155 minutes.

To learn more about visit Calculating time :

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1 year ago
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Answer: 16

Step-by-step explanation:

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3 years ago
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Sophie [7]
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.

11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.

Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.

8x + 2 + 9x + 3 = 90

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Step-by-step explanation:

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