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Setler79 [48]
2 years ago
8

Cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Co

ne A to Cone B.
Mathematics
1 answer:
Tju [1.3M]2 years ago
8 0

Answer:

cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.

Step-by-step explanation:

You might be interested in
I need help finding y
denpristay [2]

Answer:

y = 9.8995

Step-by-step explanation:

This question requires the use of basic trigonometry.

In this problem, we know one of the sides and two of the angles.

Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.

You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.

7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.

Hope this helped!

4 0
3 years ago
A family buys groceries for $154.35, including $10.37 in taxes. The bill includes $27.83 worth of items that are not taxable. Fi
mart [117]
154.35 - 10.37 = 143.98
143.98 - 27.83 = 116.15
10.37 = 116.15x
x = 0.0893

Change x to percent form to get 8.93% tax rate.
3 0
2 years ago
A farmer finds that if she plants 85 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each addit
vova2212 [387]

Answer:

52 Trees

Step-by-step explanation:

If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.

Yield = 85 X 80

Let x be the additional tree planted per acre.

For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.

Therefore, the yield:

F(x)=(85+x)(80-4x)\\F(x)=6800-260x-4x^2

Next, we maximize F(x) by taking its derivatives and solving for its critical point.

F'(x)=-260-8x\\$Setting $F'(x)=0,$ we have:$\\-260-8x=0\\8x=-260\\$Divide both sides by 8$\\x=-32.5

F''(x)=-8, $therefore we have a maximum

It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.

Therefore, number of trees per acre she should plant:

85+(-32.5)

=85-32.5

=52.5 Trees

Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.

5 0
3 years ago
Riley is buying a new car. The sticker price on the car is $16,999. The bank has offered
a_sh-v [17]

Answer:

  $19,389

Step-by-step explanation:

The amount Riley is being charged for the car is ...

  (sticker price) + tax = 16,999 + 0.0625·16,999 = 16,999 +1062.44 = 18061.44

The amount he is paying as a down payment is 10& of this value:

  down payment = 10% · $18,061.44 = $1,806.14

Then the amount being financed is ...

  financed amount = purchase price - down payment

  = $18,061.44 -1,806.14 = $16,255.30

__

The amortization formula is good for finding the monthly payment.

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where P is the amount financed at rate r for t years.

  A = $16,255.30(0.039/12)/(1 -(1 +0.039/12)^(-12·4)) = $366.30

The total Riley will pay is the sum of the monthly payments and the initial down payment:

  total paid = 48·$366.30 +1,806.14 = $19,388.54 ≈ $19,389

The closest offered choice is $19,397.

_____

<em>Comment on answer choices</em>

We suspect the answer key computation involved some rounding somewhere.

7 0
3 years ago
A scale drawing of a bedroom is shown below. The scale is 1 : 30.
galben [10]
We know  that
[scale]=1 in / 30 in
scale=measure in the drawing/measure in the actual
[measure in the actual]=measure in the drawing/scale

the measure in the drawing are
3 in x 4 in
so
for 3 in
measure in the drawing=3 in
[measure in the actual]=3/(1/30)-----> 3*30------> 90 in

for 4 in
measure in the drawing=4 in
[measure in the actual]=4/(1/30)-----> 4*30------> 120 in

the measure in the actual are
90 in x 120 in

1 ft----------> is equal to 12 in
 x-------------> 90 in
x=90/12-----> 7.5 ft

1 ft----------> is equal to 12 in
 x-------------> 120 in
x=120/12-----> 10 ft

the measure of a bedroom in feet are
7.5 ft x 10 ft

the area=7.5*10--------> 75 ft²

the answer is
<span>the area of the room is 75 ft</span>²

7 0
3 years ago
Read 2 more answers
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