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mrs_skeptik [129]
1 year ago
9

The softball team is selling hats. John bought 3 for $24.00. Stacey bought 5 for $40.00. Jim bought 2 for $16.00.

Mathematics
1 answer:
iren2701 [21]1 year ago
8 0

The value of the hats bought by John, Stacey, and Jim are $8 per hat. This shows a proportional relationship.

<h3>What is a proportional relationship?</h3>

It should be noted that a proportional relationship is one where it van be expressed as y = kx.

In this case, John bought 3 for $24.00. This will be:

= $24 / 3

= $8 per hat

Stacey bought 5 for $40.00. This will be:

= $40 / 5

= $8 per hat

Jim bought 2 for $16.00. This will be:

= $16/2

= $8 per hat

Therefore, it's a proportional relationship.

Learn more about proportional relationship on:

brainly.com/question/12242745

#SPJ1

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The radius AND height of a cylinder are each doubled. What is the new volume?
Naya [18.7K]

The volume of a cylinder is given by

V = \pi hr^2

Let h\mapsto 2h and r\mapsto 2r

The new volume becomes

V = \pi(2h)(2r)^2 = \pi\cdot 2h \cdot 4r^2 = 8\pi hr^2

So, the new volume is 8 times the original volume. In fact, volume scales linearly with the height and quadratically with the radius.

7 0
3 years ago
A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the ten
AfilCa [17]

Answer:

<em>35.11 ft</em>

<em></em>

Step-by-step explanation:

This given situation can be thought of as triangle \triangle PQR where PQ is the length of pole.

PR is the length of rope.

and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

And \angle Q \neq 90^\circ

Given that:

PQ = 44 ft

PR = 51 ft

\angle R = 58^\circ

To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ

Now,

\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ

Let us use the Sine rule again:

\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft

So, the answer is <em>35.11 ft</em>.

3 0
3 years ago
How many milliliters are equal to 4.593 liters?
never [62]

Answer:

4,993 milliliters are in 4.593 liters

Step-by-step explanation:

<em><u>Plz mark as brainliest if correct! Have a nice day!!!</u></em>

5 0
3 years ago
Read 2 more answers
I need some help, yes this is a repost soz.
Alinara [238K]

Answer:

Whats the question ;-;

Step-by-step explanation:

6 0
2 years ago
Please Help!!
gavmur [86]
Yes! 8 - 3 is 5 
so it is A.
It is not multiplied or divided by one single number so the sequence is arithmetic not geometric
hope this helps!
4 0
2 years ago
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