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Lina20 [59]
2 years ago
6

(05.04 MC) An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of th

e rectangular pyramid is cut with a plane perpendicular to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points) Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, but not passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer. (5 points) Your answer:
Mathematics
1 answer:
sleet_krkn [62]2 years ago
5 0

Answer:

Part a) Rectangle

Part b) Triangle

Step-by-step explanation:

Part A) A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section?

we know that

When a geometric plane slices any right pyramid so that the cut is parallel to the plane of the base, the cross section will have the same shape (but not the same size) as the base, So, in the case of a right rectangular pyramid, the cross section is a rectangle

Part b)  If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section?

we know that

Cross sections perpendicular to the base and through the vertex will be triangles

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Stan's cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. He is wondering how many sprinkles (p ) he will need
Arisa [49]

Answer:

960

Step-by-step explanation:

<u>Given:</u>

  • Stan's cookie recipe makes 24 cookies.
  • It needs exactly 384 sprinkles.

<u>To Find:</u>

  • Number of sprinkles needed for 60 cookies
<h2><u>Solution:</u></h2>

<u>Find the number of sprinkles needed for 1 cookie:</u>

  • 24 cookies = 384 sprinkles
  • 1 cookie = 384 ÷ 24
  • 1 cookie = 16 sprinkles

<u>Find the number of sprinkles needed for 60 cookies:</u>

  • 1 cookie = 16 sprinkles
  • 60 cookies = 16 x 60
  • 60 cookies = 960 sprinkles

Answer:  Stan will need 960 sprinkles for 60 cookies.

3 0
2 years ago
En un pueblo hay tres iglesias cuyas campanas tocan cada 15 minutos, cada 20 minutos y cada 35 minutos. Suponiendo que en este i
34kurt

Answer:

420 minutos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encontramos los múltiplos de 15, 20 y 35

Múltiplos de 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450

Múltiplos de 20:

20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460

Múltiplos de 35:

35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490

Por lo tanto,

MCM (15, 20, 35) = 420

El primer múltiplo común es el mínimo común múltiplo.

Por tanto, el tiempo en el que las 3 campanas de la iglesia volverán a coincidir = 420 minutos

7 0
2 years ago
Find the average value of the function on the given interval.<br> f(x)=ex/7; [0,7]
Anastaziya [24]

Answer:

f_{avg}=e-1

Step-by-step explanation:

We are given that a function

f(x)=e^{\frac{x}{7}}

We have to find the average value of function on the given interval [0,7]

Average value of function on interval [a,b] is given by

\frac{1}{b-a}\int_{a}^{b}f(x)dx

Using the formula

f_{avg}=\frac{1}{7-0}\int_{0}^{7}e^{\frac{x}{7}} dx

f_{avg}=\frac{1}{7}[e^{\frac{x}{7}}\times 7)]^{7}_{0}

By using the formula

\int e^{ax}=\frac{e^{ax}}{a}

f_{avg}=(e-e^0)=e-1

Because e^0=1

f_{avg}=e-1

Hence, the average value of function on interval [0,7]

f_{avg}=e-1

8 0
3 years ago
The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate ar
34kurt

Answer:

C. 35sqcm

Step-by-step explanation:

area of rectangle = length × breadth

5×7=35

5 0
2 years ago
8(7n-2) -6(7n+1)<br><br> Explain please
Verizon [17]

Answer:

<h2>8(7n - 2) - 6(7n + 1) = 14n - 22</h2>

Step-by-step explanation:

8(7n - 2) - 6(7n + 1)

use the distributive property: a(b + c) = ab + ac

= 8 · 7n + 8 · (-2) + (-6) · 7n + (-6) · 1

= 56n - 16 - 42n - 6

combine like terms

= (56n - 42n) + (-16 - 6)

= 14n - 22

8 0
2 years ago
Read 2 more answers
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