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3 years ago

What is the area of this cross-section of this rectangular prism? Enter your answer in the box.

Mathematics

1 answer:

Andreyy893 years ago

7 0

Answer:

160 trust me

Step-by-step explanation:

we multiply the length by the width which is the formula of finding rectangular areas'

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Three sides of a fence and an existing wall form a rectangular enclosure. The total length of a fence used for the three sides i

ss7ja [257]

<span>Let the wall's length be y. So the fence parallel is also y.

We form the equation;
2x + y = 240

Now the area A is x*y, which is given as 5500.

We have 2 equations with 2 variables. Solve them and get the answer.

xy = 5500
2x + y = 240

Y = 5500/x

2x + (5500/x) = 240
2x^2 - 240x + 5500 = 0
x^2 - 120x + 2750 = 0
Work out the value(s) of x from above. </span>

5 0

3 years ago

Read 2 more answers

The only contents of a container are 4 blue disks and 8 green disks. If 3 disks are selected one after the other, and at random

-Dominant- [34]

Answer: B. $\dfrac{28}{55}$ .

Step-by-step explanation:

Given : Number of blue disks =4

Number of green disks = 8

Total disks = 12

Total number of combinations of drawing any 3 disks from 12 = $^{12}C_3$

Number of combinations of drawing 1 blue and 2 green disks = $^{4}C_1\times^{8}C_2$

Now , the probability that 1 of the disks selected is blue, and 2 of the disks selected are green will be :

$\dfrac{^{4}C_1\times^{8}C_2}{^{12}C_3}\\\\=\dfrac{4\times\dfrac{8!}{2!6!}}{\dfrac{12!}{3!9!}}\\\\=\dfrac{4\times28}{220}\\\\=\dfrac{28}{55}$

Hence, the correct answer is B. $\dfrac{28}{55}$ .

7 0

4 years ago

What effect does 'h' have on the graph of a parabola?

Kipish [7]

The effect that 'h' have on the graph of a parabola is Horizontal shift or translation .

<h3>What is translation?</h3>

A translation is the movement of a shape up, down , this can also be movement from side to side.

Even though there is movement, its appearance remains the same in any other way, hence, h values cause left or right movement with respect to the graph.

Learn more about the Horizontal shift at

brainly.com/question/3200658

#SPJ1

7 0

2 years ago

A point at (15, 42) is reflected over the x-axis. What are the coordinates of the reflected point? Enter your answer by filling

schepotkina [342]

Answer:

(15, -42)

Step-by-step explanation:

Reflect Over X-Axis Formula

The following formula is used to reflect a coordinate point about the x-axis.

(X2,Y2) = (X1,Y1) * (1,-1)

Where X2 and Y2 are the new reflected coordinates

X1 and Y1 are the original coordinate points

Reflect Over X-Axis Definition

Reflection over the x-axis is the process of producing a coordinate point that is mirrored across the x-axis of the coordinate plane. That is it has the same X coordinate and opposite y4 coordinate.

Reflect over X-Axis Example

How to reflect over the x-axis?

First, determine the original coordinate points.

For this example, we will say the coordinate points are (4,5).

Next, calculate the new coordinate points.

Using the formula above we calculate the new reflected points as (4,5)*(1,-1) = (4,-5).

5 0

2 years ago

How do you do this question?

Alex Ar [27]

Step-by-step explanation:

(a) dP/dt = kP (1 − P/L)

L is the carrying capacity (20 billion = 20,000 million).

Since P₀ is small compared to L, we can approximate the initial rate as:

(dP/dt)₀ ≈ kP₀

Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.

20 = k (6,100)

k = 1/305

dP/dt = 1/305 P (1 − (P/20,000))

(b) P(t) = 20,000 / (1 + Ce^(-t/305))

6,100 = 20,000 / (1 + C)

C = 2.279

P(t) = 20,000 / (1 + 2.279e^(-t/305))

P(10) = 20,000 / (1 + 2.279e^(-10/305))

P(10) = 6240 million

P(10) = 6.24 billion

This is less than the actual population of 6.9 billion.

P(100) = 7570 million = 7.57 billion

P(600) = 20,000 / (1 + 2.279e^(-600/305))

P(600) = 15170 million = 15.17 billion

7 0

3 years ago