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3 years ago

A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.

Mathematics

2 answers:

Yuki888 [10]3 years ago

6 0

Answer:

Step-by-step explanation:

The solution is pentagon. As you can see in the diagram, the plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.

Nady [450]3 years ago

4 0

I believe the shape is a pentagon

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Add these polynomials and simplify. Enter your response in standard form.

Travka [436]

Answer:

Step-by-step explanation: Your not the boss of me!!!!

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4 years ago

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Svetllana [295]

Answer:

a) 15:7

b) 1950 ml

c) There were 10 people in the group

Step-by-step explanation:

a) In its basic form, the ratio would be 750:350. However, to get it to it's most basic form, we must find the greatest common factor (GCF) of 750 and 350, which is 50. Then, we divide both numbers by the GCF so that 750 is 15 and 350 is 7. Therefore, the basic form of the ratio is 15:7.

b) First, we can find the amount of chicken stock needed for 12 people, which is just double of the recipe since the recipe is for 6 people. (900 * 2 = 1800). Then, we need to figure out how much chicken stock is required for one person since there are 13 and not 12. We can do this by multiplying 900 by 1/6 (since it's for 1 person out of the 6 people recipe) to get 150. Then, add the amount of chicken stock needed for 12 people and 1 person together. 1800 + 150 = 1950.

c) First, we must figure out how many grams of leeks are required for just one person. We can do this by taking the amount needed in the recipe (for 6 people) and dividing it by 6 to get the amount needed for 1 person. 750 divide by 6 is 125, so 125 g of leeks are required to make soup for 1 person. Then, we take the total amount of leeks that Delia used (1250) and divide that by 125 to get 10.

8 0

2 years ago

The masses mi are located at the points Pi. Find the moments Mx and My and the center of mass of the system. m1 = 4, m2 = 3, m3

viva [34]

Answer:

$M_x$ = 8

$M_y$ = 6

Therefore the co-ordinate of the center of mass is = $(\frac{4}{5},\frac{3}{5})$

Step-by-step explanation:

Center of mass: Center of mass of an object is a point on the object. Center of mass is the average position of the system.

Center of mass of a triangle is the centriod of a triangle.

Given that m₁= 4, m₂=3, m₃=3 and the points are P₁(2,-3), P₂(-3,1) and P₃(3,5)

$M_x$ = ∑(mass × x-co-ordinate)

$M_y$ = ∑(mass × y-co-ordinate)

Therefore

$M_x$ = (4×2)+{3×(-3)}+(3×3)

$M_y$ = {4×(-3)}+{3×1}+(3×5)

The x co-ordinate of the center of mass is the ratio of $M_x$ to the total mass.

The y co-ordinate of the center of mass is the ratio of $M_y$ to the total mass.

Total mass (m) = m₁+ m₂+ m₃

= 4+3+3

=10

The x co-ordinate of the center of mass is $\frac {8}{10} = \frac {4}{5}$

The y co-ordinate of the center of mass is $\frac{6}{10}=\frac{3}{5}$

Therefore the co-ordinate of the center of mass is = $(\frac{4}{5},\frac{3}{5})$

4 0

3 years ago

Surface area in terms of pi?

Lunna [17]

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=972\pi \end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies 2916\pi =4\pi r^3 \\\\\\ \cfrac{2916}{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a sphere}\\\\ SA=4\pi r^2\qquad \qquad \implies SA=4\pi (9)^2\implies \boxed{SA=324\pi }$

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3 years ago

The area of a rectangular deck is 132 square feet. The length of the deck is 12 feet. What

Oksanka [162]

The Actual Answer Is 11 ft. You just have to divide 132 and 12 and you get 11

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4 years ago