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Korvikt [17]
3 years ago
5

8. Determine whether the triangles are similar. If so, write a similarity

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Answer:

Option (4)

Step-by-step explanation:

If ΔLMN is similar to ΔQRS,

Their corresponding sides will be proportional.

\frac{LM}{QR}= \frac{MN}{RS}= \frac{LN}{QS}

\frac{5}{6}= \frac{3}{4}= \frac{6}{7}

But it's not true.

Therefore, the given triangles ΔLMN and ΔQRS are not similar.

Option (4) will be the answer.

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castortr0y [4]

a) 0.375

b) \frac{7}{8}

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3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27nft3. Which equation gives the volume o
inna [77]

Answer:

The volume of the sphere is V=18\pi\ ft^{3}

Step-by-step explanation:

we know that

The volume of cylinder is equal to

V=\pi r^{2}h

we have

V=27\pi\ ft^{3}

substitute

27\pi=\pi r^{2}h

simplify

27=r^{2}h

Remember that

A sphere and a cylinder have the same radius and height

so

The height of cylinder is equal to the diameter of sphere

h=2r

substitute

27=r^{2}(2r)

13.5=r^{3} -----> equation A

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

substitute equation A in the formula of the volume of sphere

V=\frac{4}{3}\pi (13.5)

V=18\pi\ ft^{3}

6 0
3 years ago
Read 2 more answers
A bag contains​ pennies, nickels,​ dimes, and quarters. There are 50 coins in all. Of the​ coins, ​8% are pennies and ​40% are d
-Dominant- [34]
The bag contains $2.39

Explanation 40% of 50 coins is 20 dimes which equals 2 dollars

8 percent is 4 pennies

2.00+ .04 is 2.04

Plus 7 nickels because there are 3 more nickels than pennies 7*5= 35

2.04+.35= 2.39
3 0
3 years ago
Please help. Trig: Laws of Cosines
umka2103 [35]

Answer:

21.4 units

Step-by-step explanation:

Greater angle: 180 - 80 = 100

diagonal² = 14² + 14² - 2(14)(14)cos(100)

diagonal² = 460.0700856454

diagonal = 21.4492444073

5 0
4 years ago
Help this test is due at 11! *No links please*
Taya2010 [7]

Answer:

A) Volume of Prism = 48 ft cubed

B) Volume of Pyramid = 16 ft cubed

C) 1/3

This equation is true for all rectangular prisms and rectangular pyramids with the same length, same width, and same height.

Step-by-step explanation:

1) find the volume of the prism

2) volume of a prism = Length x Width x Height

3) 4 x 2 x 6 = 48

4) find the volume of the pyramid

5) volume of a pyramid = Length x Width x Height divided by 3

6) 4 x 2 x 6 = 48 divided by 3 = 16

Hope this helps :)

7 0
3 years ago
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