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almond37 [142]
4 years ago
14

A plane intersects a rectangular pyramid horizontally as shown. Describe the cross-section. A) circle B) rectangle C) trapezoid

D) triangle
Mathematics
2 answers:
Paladinen [302]4 years ago
6 0
A plane cuts horizontally across a rectangular pyramid will always be a rectangle. (Answer B)
Setler79 [48]4 years ago
6 0

Answer:

B. Rectangle

Step-by-step explanation:

We are given that,

<em>'The plane intersects the rectangular pyramid'.</em>

<h3>'A rectangular pyramid is a three-dimensional object with rectangular as the base and triangles as the sides'.</h3>

<em>So, a plane intersecting a rectangular pyramid horizontally will be parallel to the rectangular base.</em>

Thus, the cross-sectional plane will be a rectangle.

Hence, option B is correct.

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A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The comp
Alborosie

Answer:

The second graph is correct for this function.

Step-by-step explanation:

The company made combined profits of $40 million after 4 years. The profits increased $30 million per year.

Therefore the rate of change of profit function is 30 and the graph of profit function passing through the point (4,40).

Point slope of a linear function is

y-y_1=m(x-x_1)

y-40=30(x-4)

y-40=30x-120

Add 40 both sides.

y=30x-80

Therefore the profit function is defined as

y=30x-80

Put x=0

y=30(0)-80

y=-80

Therefore y-intercept of function is -80. So, second graph is correct for this function.

Y-intercept of first graph is positive and y-intercept of third and fourth graph  are more that -50, therefore option 1, 3 and 4 are incorrect.

3 0
3 years ago
Read 2 more answers
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to
Harman [31]

*attachment contains the omitted graph

Answer:

y = -\frac{4}{3}x + 9

Step-by-step explanation:

The equation that represents the path of the swimmer to the shoreline can be represented in the slope-intercept form, given as y = mx + b.

Where,

Slope (m) = the negative reciprocal of the slope of the shoreline, since it is perpendicular to it = ??

y-intercept (b) = ??

Find the slope of the shoreline using, (0, 1) and (4, 4):

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} = \frac{3}{4}.

Since the slope of the shoreline is ¾. The slope of the path of the swimmer would be the negative reciprocal of ¾.

The negative reciprocal of ¾ = -⁴/3.

The slope of the swimmer's path = -⁴/3.

Using the coordinate of the point of the swimmer (6, 1), and the slope of the path, we can find b, the y-intercept of the path.

Substitute x = 6, y = 1 and m = -⁴/3 into y = mx + b, to find b.

Thus:

1 = (-⁴/3)(6) + b

1 = -8 + b

Add 8 to both sides

1 + 8 = b

9 = b

b = 9

Substitute m = -⁴/3 and b = 9 into y = mx + b.

✅The equation that represents the path would be:

y = -\frac{4}{3}x + 9

8 0
3 years ago
Solve the following proportion. 15/21=5/x<br> A. 3<br> B. 105<br> C. 7<br> D. not given
Slav-nsk [51]
If you would like to solve the following proportion 15 / 21 = 5 / x, you can do this as follows:

15 / 21 = 5 / x       /*x
15 / 21 * x = 5      /*21
15 * x = 5 * 21      /15
x = 5 * 21 / 15
x = 7

The correct result would be C. 7.
3 0
3 years ago
Read 2 more answers
What is 585.055 rounded to the nearest tenth
Svetradugi [14.3K]
Rounded to the nearest tenth is 585.1
8 0
3 years ago
Read 2 more answers
Which ratio is the simplest form of 42 : 28 ?<br> A) 2:1<br> B<br> 21:14<br> 3:2<br> 2<br> D) 2:3
Natalija [7]

Answer:

3/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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