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2 years ago

What formula can we use to find the surface area of a rectangular prism?

Mathematics

1 answer:

saveliy_v [14]2 years ago

6 0

Answer:

○ $\displaystyle SA = 2lw + 2lh + 2wh$

Explanation:

A rectangle has four right angles, including two pairs of congruent edges, only containing two dimensions – height and length. Therefore, going three-dimensional, a rectangular prism has three dimensions – width, height, length. With this information, you should know what the answer is.

I am joyous to assist you at any time.

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Step-by-step explanation:

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3 years ago

A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What

vladimir2022 [97]

Answer:

The perimeter of the triangle is $12\ units$

Step-by-step explanation:

Let

$A(-3,1),B(1,1),C(1,-2)$

we know that

The perimeter of triangle is equal to

$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$A(-3,1),B(1,1)$

substitute in the formula

$AB=\sqrt{(1-1)^{2}+(1+3)^{2}}$

$AB=\sqrt{(0)^{2}+(4)^{2}}$

$AB=4\ units$

step 2

Find the distance BC

$B(1,1),C(1,-2)$

substitute in the formula

$BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}$

$BC=\sqrt{(-3)^{2}+(0)^{2}}$

$BC=3\ units$

step 3

Find the distance AC

$A(-3,1),C(1,-2)$

substitute in the formula

$AC=\sqrt{(-2-1)^{2}+(1+3)^{2}}$

$AC=\sqrt{(-3)^{2}+(4)^{2}}$

$AC=5\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=4+3+5=12\ units$

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3 years ago

Find the distance between (1,2) and ( 7,2

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The distance between these points are 6

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3 years ago

(Annuity number of periods) You've just bought a new flat-screen TV for $3,400 and the store you bought it from offers to le

AleksAgata [21]

9514 1404 393

Answer:

2.5 years

$736 in interest

Step-by-step explanation:

The relationship between the values in an amortization is ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

Here, we have A = 140, P = 3400, r = 0.16 and we want to find t

140 = 3400(0.16/12)/(1 -(1 +0.16/12)^(-12t))

1 -(1 +0.16/12)^(-12t) = 1/3.0882353

(1 +0.16/12)^(-12t) = 0.67619048

Taking logarithms gives ...

-12t·log(1 +0.16/12) = log(0.67619048)

t = log(0.67619048)/(-12·log(1+0.16/12)) ≈ 2.46177

It will take about 2.5 years to pay off the loan.

The total of payments is ...

(2.46177)(12)($140) = $4135.77

so, the interest paid is ...

$4135.77 -3400 = $735.77

You will pay about $736 in interest over the life of the loan.

_____

Additional comment

The number of payments is calculated to be about 29.54. You would probably make 30 payments, with the last payment being a different amount than $140. The actual amount will depend on when the payment is made, and the amount of it that is finance charge. We believe the remaining balance after 29 payments will be $75. After a full month, the finance charge due on that amount is $1.00, bringing the total amount of interest paid to $736.

If the loan is paid off in the middle of the month, the interest due is reduced. Above, we have calculated interest based on a last payment made part way through the month. We rounded up, partly because of the ambiguity in the final payment.

4 0

2 years ago

What formula can we use to find the surface area of a rectangular prism? ​

What formula can we use to find the surface area of a rectangular prism?