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3 years ago

Given that ΔPQR is similar to ΔPTS, what is the value of x?

Mathematics

1 answer:

Ann [662]3 years ago

4 0

I think the answer is A) 16 inches because they are basically a dilation of the pre-image.

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a cone has a volume of 6 cubic inches. what is the volume of a cylinder that the cone fits exactly inside of

ella [17]

Answer:

= 18 cubic inches

Step-by-step explanation:

The volume of a cone is given by the formula;

V = 1/3 × base area × height

While that of cylinder is given by the formula;

Volume = Base area × height

Since we need the cylinder to fit exactly inside the cone, then it means that their bases are the same and heights are the same.

Therefore;

The cone has three times less volume compared to the cylinder.

Thus;

Volume of the cylinder = Volume of cone × 3

= 6 In³ × 3

= 18 cubic inches

5 0

3 years ago

Denise is designing the seating arrangement for a concert an outdoor theater. To give everyone a good view, each row must have 6

Soloha48 [4]

Given:
1st term = 11
common difference = 6

f(x) = 11 + 6(x - 1)
f(18) = 11 + 6(18-1)
f(18) = 11 + 6(17)
f(18) = 11 + 102
f(18) = 113 number of seats in row 18.

Row
 1 11 11
2 11 6 17
 3 17 6 23
 4 23 6 29
 5 29 6 35
 6 35 6 41
 7 41 6 47
 8 47 6 53
 9 53 6 59
 10 59 6 65
 11 65 6 71
 12 71 6 77
 13 77 6 83
 14 83 6 89
 15 89 6 95
 16 95 6 101
 17 101 6 107
 18 107 6 113

6 0

4 years ago

Hoping you can solve all of these problems!

nadya68 [22]

Answer:

n-13

3n
12x-9
-k
-30n
-4n

Step-by-step explanation:

5 0

3 years ago

Samantha is making flower arrangements. She has 32 roses and 96 daisies. If she wants to make all the arrangements identical and

-Dominant- [34]

Answer:

3 daisies.

Step-by-step explanation:

Given that,

Samantha has 32 roses and 96 daisies.

She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.

For this, we need to first find the HCF of 32 and 96.

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

HCF = 32

No of daisies = 96/32 = 3

Hence, there are 3 daisies in each flower arrangement.

7 0

3 years ago

Louis built a swimming pool. The depth of the swimming pool is 5 feet. What is the volume of water that it will take to fill the

julia-pushkina [17]

Answer:

For a rectangular prism-like swimming pool: $V = w\cdot l \cdot h$ . $V = 360\,ft^{3}$ when $h = 5\,ft$ , $l = 12\,ft$ and $w = 6\,ft$ .

Step-by-step explanation:

Let assume that swimming pool has a rectangular base and depth is the same at any point at the bottom. In addition, let $w$ and $l$ be the width and length of the swimming pool. Then, the volume needed to fill the swimming pool is:

$V = w\cdot l \cdot h$ , where $h$ is the depth of the pool.

Let be $h = 5\,ft$ , $l = 12\,ft$ and $w = 6\,ft$ . The volume of the swimming pool is:

$V = (6\,ft)\cdot (12\,ft)\cdot (5\,ft)$

$V = 360\,ft^{3}$

3 0

3 years ago