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3 years ago

3 m 11 m 7 m What is the volume of the triangular prism?

Mathematics

1 answer:

miskamm [114]3 years ago

6 0

Answer:

The answer is 231m per cubic inch.

Step-by-step explanation:

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3/8+3/10 in lowest form

emmasim [6.3K]

Find the common denominator.

8 and 10 have the common denominator of 80.

So 30/80 + 24/80

= 54/80

But we have to simplify it.
54/80 = 27/40

3 0

3 years ago

A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second.

solmaris [256]

$h=-16t^2+56t+1$

The ball will hit the ground when $h=0$ :
$-16t^2+56t+1=0$
$D=b^2-4ac=56^2-4*(-16)*1=3136+64=3200$
$t=\frac{-b-\sqrt{D}}{2a}=\frac{-56-\sqrt{3200}}{-32}=\frac{-56-56.57}{-32}\approx 3.5$

4 0

4 years ago

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes. If each machine makes p

melamori03 [73]

Answer: Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help me answer this with the correct answer :)

Andru [333]

Answer:

Step-by-step explanation:

Amber get $150 per week no matter wut and +$10 per tree sold so if she sells 5 trees she gets a total of $200

Jorge gets $25 per tree sold and an extra $75at the end of the week so 25(5)=125+75=200 so they both end up with $200 at the end of the week

4 0

3 years ago

Consider a home mortgage of $225,000 at a fixed APR of 4.5 % for 30 years. a. Calculate the monthly payment. b. Determine the

White raven [17]

<u>The formula for the monthly payment</u>.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}$ , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate $=\frac{4.5\%}{12}= 0.375\% = 0.00375$

Total number of months $= (30*12)months=360 months$

Also given that, the principal amount is $225000

a. So, the monthly payment will be.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140$

Thus, the monthly payment will be approximately $1140

b. The <u>total amount paid</u> over the term of the loan will be: $\$ 1140*360 months = \$ 410400$

c. As the principal amount was $225000 , so the amount of interest $= (\$ 410400- \$ 225000)= \$ 185400$

So, the percentage of amount that is paid toward the principal $=\frac{225000}{410400}*100\% =54.82\%$

and the percentage of amount that is paid toward the interest $=\frac{185400}{410400}*100\%=45.18\%$

4 0

3 years ago