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bixtya [17]
3 years ago
10

Instructions:Select the correct answer from each drop-down menu.

Mathematics
2 answers:
Leni [432]3 years ago
8 0

Answer:

Part a) The volume of the original pyramid is 15\ cm^{3}

Part b) The volume of the pyramid increases by  6\ cm^{3}

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the base

h is the height of pyramid

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

B=3^{2}=9\ cm^{2}

h=5\ cm

substitute

V=\frac{1}{3}(9)(5)=15\ cm^{3}

Step 2

Find the volume of the new pyramid

B=9\ cm^{2} -------> the area of the base is the same

h=5+2=7\ cm ------> the height increase by 2\ cm

substitute

V=\frac{1}{3}(9)(7)=21\ cm^{3}

Subtract the original volume from the new volume

21\ cm^{3}-15\ cm^{3}=6\ cm^{3}

vladimir1956 [14]3 years ago
4 0
The volume is 10 cubic meters  is 6 cenemeters
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The prism has a volume of 120 cm3. What would the volume of the prism be if each dimension were halved? cm3 Triangular prism wit
Citrus2011 [14]
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
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4 years ago
Liam is making barbecue ribs over a fire. The internal temperature of the ribs when he starts cooking is 40°F. During each hour
Soloha48 [4]

Answer: You need to wait at least 6.4 hours to eat the ribs.

t ≥ 6.4 hours.

Step-by-step explanation:

The initial temperature is 40°F, and it increases by 25% each hour.

This means that during hour 0 the temperature is 40° F

after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:

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after another hour we have another increase of 25%, the temperature now is:

T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2

Now, we can model the temperature at the hour h as:

T(h) = (40°f)*1.25^h

now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.

So we have:

(40°f)*1.25^h = 165° F

1.25^h = 165/40 = 4.125

h = ln(4.125)/ln(1.25)  = 6.4 hours.

then the inequality is:

t ≥ 6.4 hours.

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3 years ago
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We can write an equation of this, with p representing the unknown population. We know that 90% of the population owns cars:

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