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Triss [41]
3 years ago
13

A candle holder is in the shape of a triangular pyramid. The area of the base is 15 in2

Mathematics
2 answers:
fomenos3 years ago
8 0

Answer:

30 inch^3

Step-by-step explanation:

took test

EleoNora [17]3 years ago
7 0

The volume of candle holder is 30 inches cubed.

Step-by-step explanation:

Given,

Area of base = A = 15 square inches

Height of candle holder = H = 6 inches

As the holder is in shape of triangular pyramid, therefore,

Volume of candle holder = \frac{1}{3}AH

Volume of candle holder = \frac{1}{3}*15*6

Volume of candle holder = \frac{90}{3}=30\ in^3

The volume of candle holder is 30 inches cubed.

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How can you put 32.3 as a mixed number in the simplest form
ludmilkaskok [199]

32.3 is a decimal number in which 3 is the digit at the tenth place.

Mixed number contains a whole number and a fraction part.

32.3 expressed as mixed fraction is 32\frac{3}{10} , here 32 is the whole number  and \frac{3}{10} is the fraction part.

\frac{3}{10} is the fraction in the simplest form.

For this reason, 32.3 expressed as a mixed number in the simplest form is 32\frac{3}{10}.

7 0
3 years ago
Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs
BabaBlast [244]

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs  3x - 7 pounds

∵ Joanna's bag weighs  2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as  Seth's bag

- That means add Randall's bag and Joanna's bag and equate

    the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

∴ (3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

∴ x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

∴ Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

∴ Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs  = 2(25) + 2 = 50 + 2

∴ Joanna's bag weighs  = 52 pounds

7 0
3 years ago
Read 2 more answers
What is the value of y?<br><br><br><br> Enter your answer in the box.<br><br> y =
Olenka [21]

Answer:

y=40\°

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

The two equal angles are called the base angles and the third angle is called the vertex angle

In this problem the triangle ABC is an isosceles  triangle

so

AB=AC

5x=40\°

x=8\°

The sum of the internal angles of a triangle is equal to 180\°

so

Find the value of y

(2y+20)\°+2(40\°)=180\°

2y=180\°-20\°-80\°

2y=80\°

y=40\°

6 0
3 years ago
Read 2 more answers
PLEASE HELP ME WITH THIS QUESTION
Alla [95]
Answer:
Step by step explanation:help
6 0
3 years ago
What is the value of the expression below?<br> -8 + 19 + 8<br> 0<br> 11<br> 19<br> 35
Inga [223]

Answer:

19

Step-by-step explanation:

-8+8=0

0+19=19

Hope it helps.

8 0
3 years ago
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