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3 years ago

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A slice is made perpendicular to the base of a right rectangular prism as shown. What is the area of the resulting two-dimension

al cross-section? Drag and drop the answer into the box. cm² Rectangular prism with a gray rectangle dividing the prism vertically. The rectangle is parallel to the front and back of the prism. The width of the prism is 22 centimeters, the depth is 15 centimeters, and the height is 12 centimeters.

2 answers:

V125BC [204]3 years ago

8 0

Answer:

the correct answer would be 264, i took the test.

Yuki888 [10]3 years ago

6 0

Answer:

225 i think

Step-by-step explanation:

You might be interested in

Casey wants to buy a gym membership. Gym A has a $50 joining fee & costs $40 per month. Gym B has no joining fee & cost

weqwewe [10]

Answer:

1; after 2 months

2; $130

Step-by-step explanation:

In this question, we are trying to compare the fees to be paid in two different gyms, to determine when the amount paid would be equal and also what this amount would be.

Now since we do not know the exact number of months, we can represent this unknown by x

so mathematically, at the end of m months, at the first gym , Casey would have paid a total of 50 + 40m

For the second gym, at the end of the second month, casey would have paid a total of 65m only

now we need to know when these fees would be the same. we simply equate what we have on both ends

mathematically, that is 50 + 40m = 65m

65m-40m = 50

25m = 50

m = 50/25

m = 2 months

The fees to be paid is

50 + 40(2) = 65(2) = $130

4 0

3 years ago

Giving 100 points.

Nitella [24]

Answer:

1. <u>Cost per customer</u>: 10 + x

<u>Average number of customers</u>: 16 - 2x

$\textsf{2.} \quad -2x^2-4x+160\geq 130$

3. $10, $11, $12 and $13

Step-by-step explanation:

<u>Given information</u>:

$10 = cost of buffet per customer
16 customers choose the buffet per hour
Every $1 increase in the cost of the buffet = loss of 2 customers per hour
$130 = minimum revenue needed per hour

Let x = the number of $1 increases in the cost of the buffet

<u>Part 1</u>

<u></u>

<u>Cost per customer</u>: 10 + x

<u>Average number of customers</u>: 16 - 2x

<u>Part 2</u>

The cost per customer multiplied by the number of customers needs to be <u>at least</u> $130. Therefore, we can use the expressions found in part 1 to write the <u>inequality</u>:

$(10 + x)(16 - 2x)\geq 130$

$\implies 160-20x+16x-2x^2\geq 130$

$\implies -2x^2-4x+160\geq 130$

<u>Part 3</u>

To determine the possible buffet prices that Noah could charge and still maintain the restaurant owner's revenue requirements, solve the inequality:

$\implies -2x^2-4x+160\geq 130$

$\implies -2x^2-4x+30\geq 0$

$\implies -2(x^2+2x-15)\geq 0$

$\implies x^2+2x-15\leq 0$

$\implies (x-3)(x+5)\leq 0$

Find the roots by equating to zero:

$\implies (x-3)(x+5)=0$

$x-3=0 \implies x=3$

$x+5=0 \implies x=-5$

Therefore, the roots are x = 3 and x = -5.

<u>Test the roots</u> by choosing a value between the roots and substituting it into the original inequality:

$\textsf{At }x=2: \quad -2(2)^2-4(2)+160=144$

As 144 ≥ 130, the <u>solution</u> to the inequality is <u>between the roots</u>:

-5 ≤ x ≤ 3

To find the range of possible buffet prices Noah could charge and still maintain a minimum revenue of $130, substitute x = 0 and x = 3 into the expression for "cost per customer.

[Please note that we cannot use the negative values of the possible values of x since the question only tells us information about the change in average customers per hour considering an <em>increase </em>in cost. It does not confirm that if the cost is reduced (less than $10) the number of customers <em>increases </em>per hour.]

<u>Cost per customer</u>:

$x =0 \implies 10 + 0=\$10$

$x=3 \implies 10+3=\$13$

Therefore, the possible buffet prices Noah could charge are:

$10, $11, $12 and $13.

8 0

2 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

A jazz band wants to sell $24,000 worth of tickets. If each ticket costs $80, how many tickets will the band have to sell to mee

Dafna11 [192]

Answer:

300

Step-by-step explanation:

24000/80

7 0

4 years ago

Read 2 more answers

What is the function rule that describes the pattern in the table?

navik [9.2K]

The correct answer would be C

6 0

3 years ago