All categories

3 years ago

What is the volume of the triangular prism below? V =________ft3

Mathematics

2 answers:

Dmitrij [34]3 years ago

8 0

Answer:

4.5 cubic feet

melomori [17]3 years ago

3 0

Answer:

your answer would be 4.5 cubic feet!!! HOPE I HELPED!!!!! good luck to anyone who needs this in the future

Step-by-step explanation:

You might be interested in

How do you find an equal ratio for example is 63:27 14:6 a equivalent ratio?

Mkey [24]

Answer:

Step-by-step explanation:

Find a common denominator or greatest common factor. 63 and 27 are both multiples of 9. When you divide each by 9 you get 7:3. 14 and 6 are both multiples of 2. When you divide each by 2 you get 7:3 again. So these ratios are equivalent.

Start with any set of numbers. Multiply them each by the same factor and the new set will be an equivalent ratio.

4 0

3 years ago

7x+1/2(x+1/4)=3(6x-9)-8

ycow [4]

Answer:

x = 381/24 = 3 29/84

Step-by-step explanation:

7x + 1/2(x + 1/4) = 3(6x - 9) - 8

Use the distributive property to multiply 1/2 by x + 1/4.

7x + 1/2x + 1/8 = 3(6x - 9) - 8

Combine 7x (14/2x) and 1/2x to get 15/2.

15/2x + 1/8 = 3(6x - 9) - 8

Use the distributive property to multiply 3 by 6x - 9.

15/2x + 1/8 = 18x - 27 - 8

Subtract 8 from -27 to get -35.

15/2x + 1/8 = 18x - 35

Subtract 18x from both sides.

-21/2x + 1/8 = -35

Subtract 1/8 from both sides.

-21/2x = -35 - 1/8

-35 is the same as -280/8.

-21/2x = (-280 - 1)/8

Subtract 1 from -280 to get -281.

-21/2x = -281/8

Multiply both sides by -2/21 (reciprocal of -21/2).

x = (-281 * -2)/(8 * 21)

You can cross cancel -2 and 8 by extracting 2 (they become -1 and 4 respectively).

x = (-281 * -1)/(4 * 21)

Multiply -281 by -1 to get 281.

x = 281/(4 * 21)

Multiply 4 by 21 to get 84.

x = 281/84

Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)

x = 3 29/84

Work check: x is substituted for 281/84 (convenience)

7 * 281/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(302/84) = 3((6 * 281)/84 - 9) - 8

(1967 + 151)/84 = 3((6 * 281)/84 - 9) - 8

2118/84 = 3(1686/84 - 9) - 8

2118/84 = 3((1686 - 756)/84) - 8

2118/84 = 3(930/84) - 8

2118/84 = 2790/84 - 672/84

2118/84 = (2790 - 672)/84

2118/84 = 2118/84

So x = 3 29/84 is correct.

5 0

3 years ago

Factor each by using the GCF. a) 36x+81 b) 24a+36

nydimaria [60]

The Greatest Common Factor (GCF) is very important when factoring. Later on, you will forget to pull out a GCF and the answer will be wrong. Always look for a GCF before doing anything.

Let's try factoring these:

a.) $36x+81$

The greatest common factor of this expression is 9, because it is the maximum number that both can go into. Let's solve.

$9(4x+9)$

This is the simplest this expression can get. This would be your final answer. Let's try the other one.

b.) $24a+36$

The GCF of this one is 12. Let's simplify it.

$12(2a+3)$

This is also the simplest you can get it. You can do nothing further. So, your final answers are:

a.) $9(4x+9)$

b.) $12(2a+3)$

5 0

4 years ago

Read 2 more answers

Jaylens betta fish holds 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. What is the flow rate of the water in ga

Solnce55 [7]

The flow rate of the water in gallons per minute is 2.5

6 0

3 years ago

PLEASE ANSWER I WILL MARK AS BRAINLIEST

Tomtit [17]

Answer:

Six

Step-by-step explanation:

1.Convert all volumes to millilitres

(a) Chlorpheniramine

V = 100 mL

(b) Lidocaine

$V = \text{2 fl oz} \times \dfrac{\text{29.57 mL}}{\text{1 fl oz}} = \textbf{59 mL}$

(c) Banana flavouring

$V = \dfrac{1}{2}\text{ tsp} \times \dfrac{\text{4.928 mL}}{\text{1 tsp}} = \textbf{2.5 mL }$

2. Calculate the total volume

Chlorpheniramine = 100 mL

Lidocaine = 59

Banana flavouring = 2.5

TOTAL = 162 mL

3. Calculate the number of doses

$\text{Doses} = \text{162 mL} \times \dfrac{\text{1 dose}}{\text{10 mL}} = \text{16.2 doses}\\\\\text{You can't take a fraction of a dose, so the there are $\large \boxed{\textbf{16 doses}}$}$

5 0

3 years ago