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Tom [10]
3 years ago
11

The ratio of the heights of two similar pyramids is 3:2. The volume of the larger pyramid is 135 cm3. What is the volume of the

smaller pyramid?
Mathematics
1 answer:
gladu [14]3 years ago
3 0
l-larger\\s-smaller\\\\\dfrac{h_l}{h_s}=\dfrac{3}{2}\to\dfrac{V_l}{V_s}=\left(\dfrac{3}{2}\right)^3\\\\V_l=135\ cm^3.\\subtitute\\\\\dfrac{135}{V_s}=\dfrac{27}{8}\ \ \ \ |cross\ multiply\\\\27V_s=135\cdot8\\\\27V_s=1080\ \ \ |divide\ both\ sides\ by\ 27\\\\\boxed{V_s=40\ (cm^3)}
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One number is 5 more than the other. Their sum is 33. Find the numbers.
dimaraw [331]

Answer:

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Step-by-step explanation:

x=5+y

x+ y= 33

we will solve using substitution

(5+y) +y= 33

5+y+y=33

5+2y=33

subtract 5 from both sides

2y=28

y=14

We got y now we will find what x is

for this, we will substitute y's value (14) into the first equation

x=5+(14)

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we got x too

3 0
3 years ago
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TiliK225 [7]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Which of the following polygons is not a regular polygon?
Shkiper50 [21]

Answer:

b

Step-by-step explanation:

polygons is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit

6 0
2 years ago
6 & 7 please help me show work please and thank you!
lara31 [8.8K]

Answer:

6. \frac{29}{15} or 1\frac{14}{15}

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Step-by-step explanation:

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