Question 3 of 10 the two cones below are similar. what is the height of the smaller cone?

12 answers
Question:

Question 3 of 10 the two cones below are similar. what is the height of the smaller cone?

Answers

Can we see the cones please

 The correct option is (D) [tex]\dfrac{15}{7}.[/tex]

Step-by-step explanation:  Given that the two cones in the figure are similar.

We are to find the height 'x' of the smaller cone.

The height and radius of the bigger cone are 5 units and 7 units respectively.

The radius of the smaller cone is 3 units.

Since the two cones are similar, so their corresponding heights and radius will be proportional.

Therefore, we must have

[tex]\dfrac{5}{x}=\dfrac{7}{3}\\\\\\\Rightarrow 5\times 3=7x\\\\\\\Rightarrow7x=15\\\\\\\Rightarrow x=\dfrac{15}{7}.[/tex]

Thus, the height of the smaller cone is [tex]\dfrac{15}{7}~\textup{units}.[/tex]

Option (D) is correct.

 The correct option is (D) [tex]\dfrac{15}{7}.[/tex]

Step-by-step explanation:  Given that the two cones in the figure are similar.

We are to find the height 'x' of the smaller cone.

The height and radius of the bigger cone are 5 units and 7 units respectively.

The radius of the smaller cone is 3 units.

Since the two cones are similar, so their corresponding heights and radius will be proportional.

Therefore, we must have

[tex]\dfrac{5}{x}=\dfrac{7}{3}\\\\\\\Rightarrow 5\times 3=7x\\\\\\\Rightarrow7x=15\\\\\\\Rightarrow x=\dfrac{15}{7}.[/tex]

Thus, the height of the smaller cone is [tex]\dfrac{15}{7}~\textup{units}.[/tex]

Option (D) is correct.

a) 15/7

step-by-step explanation:

[tex]The two cones below are similar. what is the height of the smaller cone?[/tex]

D. 20/7

Step-by-step explanation:

Since

4/7 = x/5

Multiply the left side by x and the right side by 4 as shown below

7*x = 4*5

7x = 20

Then dividing both sides by 7 would cancel on the left

7x/7=x

X = 20/7

D. [tex]\frac{20}{7}[/tex]

Step-by-step explanation:

When two solid same type figures are similar then their corresponding measures are in same proportion,

i.e. if a cone having radius [tex]r_1[/tex] and height [tex]h_1[/tex] is similar to the cone having radius [tex]r_2[/tex] and height [tex]h_2[/tex].

Then,

[tex]\frac{r_1}{r_2}=\frac{h_1}{h_2}[/tex]

Here,

[tex]r_1=7, r_2=4, h_1 = 5, h_2 = x[/tex]

By substituting the values,

[tex]\frac{7}{4}=\frac{5}{x}[/tex]

[tex]7x = 20[/tex]

[tex]\implies x = \frac{20}{7}[/tex]

Hence, the height of smaller one is 20/7 units.

D. [tex]\frac{20}{7}[/tex]

Step-by-step explanation:

When two solid same type figures are similar then their corresponding measures are in same proportion,

i.e. if a cone having radius [tex]r_1[/tex] and height [tex]h_1[/tex] is similar to the cone having radius [tex]r_2[/tex] and height [tex]h_2[/tex].

Then,

[tex]\frac{r_1}{r_2}=\frac{h_1}{h_2}[/tex]

Here,

[tex]r_1=7, r_2=4, h_1 = 5, h_2 = x[/tex]

By substituting the values,

[tex]\frac{7}{4}=\frac{5}{x}[/tex]

[tex]7x = 20[/tex]

[tex]\implies x = \frac{20}{7}[/tex]

Hence, the height of smaller one is 20/7 units.

if you're using Apex, your answer will be 35/4 or 8.75

Option C:

Height of the smaller cone is[tex]\frac{15}{7}[/tex] .

Solution:

Height of the larger cone = 5

Radius of the larger cone = 7

Radius of the smaller cone =3

To find the height of the smaller cone:

If two polygons are similar, then the corresponding sides are proportional to each other.

[tex]$\Rightarrow\frac{5}{x} =\frac{7}{3}[/tex]

Do cross multiplication.

[tex]$\Rightarrow5\times3=7x[/tex]

⇒ 15 = 7x

[tex]$\Rightarrow\frac{15}{7}=x[/tex]

[tex]$\Rightarrow x=\frac{15}{7}[/tex]

Option C is the correct answer.

Height of the smaller cone is[tex]\frac{15}{7}[/tex] .

Given that the two cone are similar, then
3/7 = x/5
7x = 15
x = 15/7

(c, 0) i might be wrong so don't put full faith on my answer

[tex]Give the coordinates for point p in the kite below without using any variables[/tex]

step-by-step explanation:

which of the following statements correctly describes the expression below based on its degree and number of terms?

314 - 7x2 + 11

Similar Solved Works

3 answers

The principle to get a good experimental design is known as a principle a. randomization b. precision

The principle to get a good experimental design is known as a principle a. randomization b. precision matching principle d. max min con principle....
10 answers

Solve the inequality. 2n/7 ≤ 4, but it needs to be in set-notation.

Solve the inequality. 2n/7 ≤ 4, but it needs to be in set-notation....
4 answers

Which equation represents a line which is perpendicular to the line y=-1/2x-6a. 2x+y=6b. x-2y=2c.

Which equation represents a line which is perpendicular to the line y=-1/2x-6 a. 2x+y=6 b. x-2y=2 c. x+2y=-14 d. y-2x=-4...
6 answers

How did the English Bill of Rights influence the Declaration of Independence? It focused on voting rights

How did the English Bill of Rights influence the Declaration of Independence? It focused on voting rights for men and women. It focused on freedom of religion. It focused on the right to a jury trial. It focused on limiting the power of the monarch.]...
10 answers

Which equation can be used to find the two numbers whose ratio is 4 to 3 and that have a sum of 42?

Which equation can be used to find the two numbers whose ratio is 4 to 3 and that have a sum of 42?...
10 answers

Filtration, devastation, and evaporation are examples ofa- ways in which scientists distinguish between

Filtration, devastation, and evaporation are examples ofa- ways in which scientists distinguish between elements and compounds.b- separation by chemical means.c- separation by physical means.d- ways in which scientists separate compounds....
3 answers

Help asap plzs t u p i d that there has to be 20 letters smh

Help asap plz s t u p i d that there has to be 20 letters smh [tex]Help asap plzzzz s t u p i d that there has to be 20 letters smh[/tex]...
3 answers

An art dealer sold three of 12 paintings that were on display in her gallery what was the ratio of the

An art dealer sold three of 12 paintings that were on display in her gallery what was the ratio of the number of paining sold to the number of paintings not sold...
6 answers

Find the mean of 9,5,10 graphically will mark Brainliest if correct ( no files or links)​

Find the mean of 9,5,10 graphically will mark Brainliest if correct ( no files or links)​...
4 answers

Given: g(a)=4a+1 and h(a)=a2-2a find: g(h(-3+z))

Given: g(a)=4a+1 and h(a)=a2-2a find: g(h(-3+z))...
7 answers

Eli wants to combine 0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid

Eli wants to combine 0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid solution. He needs to determine how many gallons of 35% solution are needed. Eli decides to let v represent the volume of the 35% solution and makes a table to help solve the problem. Help Eli by ...
8 answers

Which of the following is a slavic language

Which of the following is a slavic language...
4 answers

Uun bmeo vyigirls come0n letshaves€x​comefast

Uun bmeo vyigirls come0n letshaves€x​comefast...
4 answers

Isaac wants to play miniature golf. Go golf charges $2.50 for ball and club rental and $4.25 per game. Golf Games charges $3.25 for ball and club rental

Isaac wants to play miniature golf. Go golf charges $2.50 for ball and club rental and $4.25 per game. Golf Games charges $3.25 for ball and club rental and $8.50 for two games. For how many games would the cost be the same? Write and solve an equation to determine the number of games for which the ...
4 answers

Which option best completes the diagram

Which option best completes the diagram...
4 answers

What is the molarity of a solution made by dissolving 0.350 g of NaOH in 55.0 ml of solution?

What is the molarity of a solution made by dissolving 0.350 g of NaOH in 55.0 ml of solution?...
4 answers

In the two images that stuart brown shows at the beginning of his talk, what are the differences?

In the two images that stuart brown shows at the beginning of his talk, what are the differences?...
10 answers

Somone ! this is due use the following picture for this question: a. find both the exact and approximate

Somone ! this is due use the following picture for this question: a. find both the exact and approximate value of the blue dotted side (rounded to the nearest tenth).b. use your approximate answer from part a to find the side length of x. round your answer for x to the nearest tenth. [tex]...
7 answers

While Congress has the power to create new laws, they can be vetoed by the President. In addition, the

While Congress has the power to create new laws, they can be vetoed by the President. In addition, the Executive Branch must enforce these laws. What two different constitutional principles are demonstrated by these relationships? Select one: A checks and balances and separation of powers B. separat...
2 answers

The plants in a red-tailed hawk's food chain produce 3 million kcal of chemical energy per day. How

The plants in a red-tailed hawk's food chain produce 3 million kcal of chemical energy per day. How much energy is available to the hawk's trophic level, assuming 90% loss at each level?...

-- 0.012233--