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3 years ago

A packing carton in the shape of a triangular right prism shown below. Find the volume of the prism.

Mathematics

1 answer:

Annette [7]3 years ago

3 0

Answer: The volume is 120 $in^3$ .

Step-by-step explanation:

-The volume formula for a triangular prism is:

(Height × Base × Length) /2

-So, you put the height, base, and length:

(4 × 6 × 10)

-Then, you solve:

(4 × 6 × 10)

(24 × 10)

240

-Divide 240 by 2:

240 ÷ 2

120

Therefore, the volume of a Triangular Prism is $120in^3$ .

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N-4-9<br> I really need help with this

yKpoI14uk [10]

Answer:

n - 13

Step-by-step explanation:

n-4-9

We can combine like terms.

n - (4+9)

n - 13

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4 years ago

Christine purchased a prepaid phone card for $20. Long distance calls cost 18 cents a minute using this card. Christine used her

Luda [366]

Answer:

4 minutes and 32 seconds

Step-by-step explanation:

card $20.00-money left over $15.68 $20.00-$15.68 4.32

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3 years ago

Find the common difference for the sequence below. 1/4, 5/16, 3/8,..

vredina [299]

Answer:

the common difference of the sequence is $(\frac{1}{16})$

Step-by-step explanation:

A sequence of numbers is said to be in arithmetic progression of each term of the sequence has same common difference.

Now, here first term a1 = 1/4

Second term a2 = 5/16

Third term a3 = 3/8

Now, Common difference (d) = a2 - a1 = a3 - a2

Now, a2 - a1 = $\frac{5}{16} - \frac{1}{4} = \frac{5 - 4}{16} = \frac{1}{16}$

Now, a3 - a2 = $\frac{3}{8} - \frac{5}{16} = \frac{6 - 5}{16} = \frac{1}{16}$

Hence, the common difference of the sequence is $(\frac{1}{16})$

5 0

3 years ago

Marco starts with a population of 10 bacteria that doubles every day for a number of days, d. He writes the expression 10(2d) to

riadik2000 [5.3K]

Answer:

Marco- 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent.

Isabella- 1 is the starting population. 1+0.2=1.2 is the rate at which it grows each day.

Step-by-step explanation:

Marco's equation should be $10(2^{d})$ since the bacteria double each day. 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent. This will double each day because:

Day 1 is $2^{1}=2$

Day 2 is $2^{2}=4$

Day 3 is $2^{3}=8$

Day 4 is $2^{4}=16$

You'll notice the value doubles each day.

Isabella has a different equation because her population increases by a percentage. We use the simple interest formula to calculate the bacteria's daily increase or interest.

1(1+0.2)d

1 is the starting population.

1+0.2=1.2 is the rate at which it grows each day.

3 0

4 years ago

Read 2 more answers

Evaluate the expression<br> cos(30°)=

alina1380 [7]

Answer:

$cos (30) =\sqrt{\frac{3}{2} } =0.8660$

Step-by-step explanation:

By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.

cos(30°) = √1 – sin230°

The value of sin30° is 1/2 (Trigonometric Ratios)

cos(30°) = √1 – (1/2)2

cos(30°) = √1 – (1/4)

cos(30°) = √(1 * 4 – 1)/4

cos(30°) = √(4 – 1)/4

cos(30°) = √3/4

Therefore, cos(30°) = √3/2

3 0

2 years ago

Read 2 more answers