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Rashid [163]
3 years ago
7

What is the volume of the following triangular prism? 60 cm3 12 cm3 3.75 cm3 6 cm3

Mathematics
1 answer:
DochEvi [55]3 years ago
5 0
By definition, the prism volume is given by:
 V = Ab * L
 Where,
 Ab: base area
 L: long
 Substituting values we have:
V = ((1/2) * (12) * (2.5)) * (4)
 
  V = 60 cm ^ 3
 Answer:
 The volume of the triangular prism is:
V = 60 cm ^ 3
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a photograph is printed in the center of a piece of paper measuring 7 cm by (x + 8) cm. The photo measures 5 cm by (x +6) cm . T
Nadusha1986 [10]

The paper is 7 cm by (x + 8) cm.

A photo is 5 cm by (x + 6) cm, and is printed in the middle of the paper.

The area of the border/space around the photo is 50 cm².


To find the area of the border around the photo, you find the area of the paper and subtract it by the area of the photo.


The area of the paper:

A = 7 · (x + 8)


The area of the photo:

A = 5 · (x + 6)


Your equation to find the area of the border around the photo is:

(7 · (x + 8)) - (5 · (x + 6)) = A

[area of paper - area of photo = area of border]


Since you know the area of the border, you can plug it in:

(7 · (x + 8)) - (5 · (x + 6)) = 50


Multiply the 7 into (x + 8), and multiply the 5 into (x + 6)

(7x + 56) - (5x + 30) = 50


Distribute/multiply the - to (5x + 30)

7x + 56 - 5x - 30 = 50


Combine like terms

2x + 26 = 50


Subtract 26 on both sides

2x = 24


Divide 2 on both sides


x = 12

7 0
3 years ago
The sum of twice a number and 15 is grater the 3
NNADVOKAT [17]

Answer:

x>-6

Step-by-step explanation:

The expression you need to solve for this is: 2x+15>3

For now pretend that the > is a = and solve as you normally would for x.

Subtract 15 from both sides

2x=-12

Divide by 2

x=-6

Put the > back in

x>-6

4 0
2 years ago
Mrs. Williams is deciding between two field trips for her class. The Science Center charges $135 plus $3 per student. The Dino D
Marianna [84]
Set it up like a regular equation. I used:
3x+135 \ \textless \  6x

As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u>x \ \textgreater \  45

This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.
5 0
3 years ago
What is the probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a
Drupady [299]

Answer:

P=0.00564

Step-by-step explanation:

From Exercise we have  52 cards.

We calculate the number of combinations to draw 5 cards from a deck of 52 cards. We get

{52}_C_{5}=\frac{52!}{5!(52-5)!}=2598960

We now count the number of favorable combinations:

{13}_C_{1} · {48}_C_{2}= 13 · \frac{48!}{2!(48-2)!}=14664

Therefore, the probabilitiy is

14664/2598960=0.00564

P=0.00564

6 0
3 years ago
What is the diameter of a circle with a circumference of 11.27 pi ft
KatRina [158]
Circumference of circle = 11.27π ft
so,
C = 2πr
or, 11.27π = 2πr
or, 11.27π/2π = r
so, r = 5.635 ft
now,
diameter = 2r
= 2 x 5.635
= 11.27 ft
7 0
2 years ago
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