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Alecsey [184]
3 years ago
12

a plastic puzzle in the shape of a triangular prism has bases that are equilateral triangles with side lengths of 4 inches and a

height of 3.5 inches. the height of the prism is 5 inches. fine the volume of the prism.
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Answer:70

Step-by-step explanation:

You multiply all three numbers.

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T is the midpoint of RS, T has coordinates (6, 4), and S has coordinates (3,-2). What are the
Fynjy0 [20]

Answer:

help

Step-by-step explanation:

3 0
2 years ago
What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?
Sauron [17]

The directrix of the parabola is y =  \frac {-49}{16}

<h3>How to determine the equation of the directrix?</h3>

The parabola equation is given as:

\frac 14(y + 3) = (x -2)^2

A parabola is represented as:

4p(y - k) =(x -h)^2

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

-k= 3 ==> k = -3

The directrix is represented as:

y = k - p

So, we have:

y = -3 - \frac 1{16}

Take the LCM

y =  \frac {-16 * 3- 1}{16}

Evaluate

y =  \frac {-49}{16}

Hence, the directrix of the parabola is y =  \frac {-49}{16}

Read more about parabola at:

brainly.com/question/1480401

#SPJ1

4 0
1 year ago
Which equation describes a parabola that opens left or right and whose vertex is at the point (h, v)?
nalin [4]
Vertex is at the point ( h , v ) 
The equation of a parabola is:
x = a ( y - v )² + h
Answer: B )
4 0
2 years ago
Read 2 more answers
Can someone help me please?​
spayn [35]

Answer:

Gallons

Step-by-step explanation:

Since its a fish tank and in high diameter it would be used for a big measurement unit so the answer would be gallons.

3 0
2 years ago
Read 2 more answers
Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af
Leno4ka [110]

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29

In the 10 years, the refund she gets,

A_r=63.29\times12\times100\\A_r=7594.8

Interest paid by her is,

I=7594.8-5500\\I=2094.8

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

brainly.com/question/24274034

3 0
2 years ago
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