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3 years ago

What is the volume of a box with a height of 3/2 inches, and then seven over2 inches and a width of five/2 inches

Mathematics

1 answer:

andriy [413]3 years ago

6 0

Answer:

$\large\boxed{V=13\dfrac{1}{8}\ in^3=13.125\ in^3}$

Step-by-step explanation:

The formula of a volume of a box:

$V=l\times w\times h$

l - length

w - width

h - height

We have:

$l=\dfrac{7}{2}\ in\\\\w=\dfrac{5}{2}\ in\\\\h=\dfrac{3}{2}\ in$

Substitute:

$V=\left(\dfrac{7}{2}\right)\left(\dfrac{5}{2}\right)\left(\dfrac{3}{2}\right)=\dfrac{7\cdot5\cdot3}{2\cdot2\cdot2}=\dfrac{105}{8}=13\dfrac{1}{8}\ in^3=13.125\ in^3$

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Select the point that is a solution to the system of inequalities. Yx^2-4?

ziro4ka [17]

Answer:

C (1,2)

Step-by-step explanation:

The point that is a solution must satisfy both inequalities;

The inequalities are;

$y\:$

$y\:>\:x^2-4$

Point A

$(4,0)$

$0\:$ : True

$0\:>\:16-4$ :False

Point B (0,4)

$4\:$ : False

$4\:>\:0-4$ :True

Point C (1,2)

$2\:$ : True

$2\:>\:1-4$ :True

Point D(-2,-4)

$-4\:$ : True

$-4\:>\:4-4$ :False

The correct answer is C.

4 0

3 years ago

Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?

Rama09 [41]

Answer:

The simple interest rate is 5%.

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?

We have that $P = 4200, E = 630, t = 3$ . We have to find I.

$E = P*I*t$

$630 = 4200*I*3$

$I = \frac{630}{4200*3}$

$I = 0.05$

The simple interest rate is 5%.

Joshua’s goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?

We have to find T when $P = 4200, t = 4, I = 0.06$

$E = P*I*t$

$E = 4200*0.06*4$

$E = 1008$

$T = E + P = 4200 + 1008 = 5208$

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

7 0

3 years ago

Consider the two triangles shown. Which of the triangle congruence theorems could be used to prove the triangles congruent witho

Georgia [21]

Answer: AAS

Step-by-step explanation:

In the given triangles, there are two angles such as $84^{\circ}$ and $39^{\circ}$ and one non included side as 16 cm of both triangles are equal or congruent.

Thus, by AAS postulate of congruence both the triangles are congruent without establishing any additional information.

The AAS postulate says that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

7 0

3 years ago

Pleaseee helppp I’m struggling

statuscvo [17]

$2 = 5 pears

$x = 1 pear

Cross multiply,

5x = 2

x = 2/5 = $0.4

5 0

3 years ago

Which expression is equivalent to (1−sinβ)(1+sinβ)/cos2β for all values of β for which (1−sinβ)(1+sinβ)/cos2β is defined?