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Aleonysh [2.5K]
1 year ago
9

Give the volume of the triangular prism shown

Mathematics
1 answer:
Nitella [24]1 year ago
6 0

Answer:

  D.  264 in³

Step-by-step explanation:

The missing edge dimension can be found using the Pythagorean theorem. Then the volume can be found using the appropriate formula.

<h3>Edge dimension</h3>

The missing dimension and the two given for the top triangle will satisfy the Pythagorean theorem. If the missing dimension is represented by 'a', then we have ...

  a² +8² = 10²

  a = √(100 -64) = 6 . . . . inches

<h3>Volume</h3>

The area of the top triangle is ...

  A = 1/2bh . . . . where b and h are the base and height dimensions

  A = 1/2(6 in)(8 in) = 24 in²

The volume of the triangular prism is ...

  A = Bh . . . . . where B is the area of the triangular base, and h is the prism height

  A = (24 in²)(11 in) = 264 in³

The volume of the triangular prism shown is 264 in³.

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can sumone just do number 17 for me thats it, ill give brainlist if correct and plz dont spam me or perposly answer knowing you
rusak2 [61]

Answer: For 17 is x=24

Step-by-step explanation:

5 0
2 years ago
Plz answer i have soo much school work to do thx also brainliest.
m_a_m_a [10]

Answer:

HOPE THIS HELPS

Step-by-step explanation:

Number of students in Mr.Skinner's class who brought lunch from home if there are 20 students in the class=12

Fraction of students who brought lunch from home in Mr. Skinner's class=

Number of students in Ms. Cho's class who brought lunch from home if there are 21 students in the class=14

Fraction of students who brought lunch from home in Ms. Cho's class=

As Siloni is using  two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria.

Number of Congruent sectors in each Spinner=15

So, if we represent students from Mr. Skinner's class who brought lunch from home in Spinner having 15 congruent Sectors =

So, if we represent students from Mrs. Cho's class who brought lunch from home in Spinner having 15 congruent Sectors =

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Option A which is One more sector of the Skinner-class spinner will represent bringing lunch from home represents Ms Cho's Class.

5 0
2 years ago
Factor Completely.3g^2-78g+75
Umnica [9.8K]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ 3g^2 - 78g + 75 factored completely is 3(g-1) * (g-25)

First, write the expression as a difference:

3(g^{2} -26g +25)

Then factor the expression:

3(g^{2} - g - 25g + 25)

Factor the expression again:

3 (g*(g-1)-25(g-1))

Your final answer should be:

3(g-1)*(g-25)

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

3 0
3 years ago
Read 2 more answers
Someone please help i don’t understand
WITCHER [35]

Answer:

Your answers for the row #6 are (going from left to right) 7, 8, 9, 10, 11, 12

Step-by-step explanation:

Explanation-If you look at each column, you can see that if you take the top number on any row by its side number, you just add the two.

Take the number one on the left side and add it to the number one on the top column. 1 + 1=2. So therefore, that is why there is a 2 in the answer box. 1 + 2=3, which is the next answer. It's like a pattern. Just take the number on the side and add it to the top letter until you get to the end of the row.

Example- In the first row, it goes 1, 2, 3, 4, 5, 6, 7 for a reason. The reason you have 2 for the first orange box is because 1 + 1 = 2

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2 years ago
canoe rental at howie's canoes costs $5 per hour plus an initial deposit of $15. write an expression for how much it costs to re
vagabundo [1.1K]
This solution only needs proper understanding of the word problem and identification of variables.
Let x = number of hours rental of the canoe

It costs $5 per hour for a canoe. However, for every rental of one canoe, there is a deposit of $15 regardless.
The expression is then 5x + 15.

This expression will solve how much it costs in total to rent one canoe for x hours.
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