choose the correct response ​

9514 1404 393

Answer:

  C. The horizontal cross-sections of the pyramid and cone at the same height must have the same area

Step-by-step explanation:

Cavalieri's principle says that solids with corresponding cross sections of the same area will have the same volume. Statement C is the converse of this principle.

Answer:

[tex]n^{2}[/tex]

Step-by-step explanation:

1, 4, 9, 16

1=[tex]1^{2}[/tex]

4=[tex]2^{2}[/tex]

9=[tex]3^{2}[/tex]

16=[tex]4^{2}[/tex]

so, the fifth term is [tex]5^{2}[/tex] = 25

Answer:

They are similar because they both have like terms in parenthesis.

Step-by-step explanation:

As long as you have like terms, the equation is the same. You never have to worry about the number before the variable being the same. As long as the variable is the same, you have like terms and that is like terms in the equation. TO SUM IT UP: They both have like terms and that is why they are similar.

Answer:

We know that the sum of all the interior angles of a triangle is always equal to 180°.

And we know that the angles are in a ratio of:

2:5:5

So if we have an angle (unknown) θ, the angles of this triangle will be written as:

2*θ

5*θ

5*θ

Now remember that the sum of the 3 angles is equal to 180°, this leads to:

2*θ + 5*θ + 5*θ = 180°

Now we can solve this for θ

(2 + 5 + 5)*θ = 180°

12*θ = 180°

θ = 180°/12 = 15°

This means that the angles of this triangle are:

2*θ = 2*15° = 30°

5*θ = 5*15° = 75°

5*θ = 5*15° = 75°

Now we want to classify this triangle based on this, we have two equal angles, which implies that we must have two equal sides and another different side.

Then this is an isosceles triangle.

Answer:

920

Step-by-step explanation:

8% of 1000 is 80

1000 - 80 = 920

Answer:

Step-by-step explanation:

Scale factor  = 1 : 7

a)Let the length of the house in the scale drawing = x

1:7 :: x : 21

Product of means = Product of extremes

 7*x = 1* 21

     x = [tex]\frac{1*21}{7}[/tex]

     x = 3

Length of the house in the scale drawing = 3 in

b) Height of the real house =y

1 : 7 :: 4 : y

Product of extremes = product of means

1 * y = 7*4

   y = 7*4

   y = 28

Height of real house = 28 feet

Answer:

Step-by-step explanation:

A side of the triangle must be shorter than the sum of the remaining two sides.

He cannot make a triangle with 3, 4, and 8.

Answer:

I believe they would have to sell 152 lollipops

Step-by-step explanation:

Answer:

This is your work so i cant do it but I can give you a hint divide both the numerator and deomonator to get simplified form

Step-by-step explanation:

Answer:

ericyikaimiao said she/he is right

Answer: 65

Step-by-step explanation:

All those angles added up have to equal 360 degrees.

The little square on the angle to the left of x means that it's a right angle, or 90 degrees.

360

- 180

= 180 <--- this is the bottom half,

180

- 90 <--- the right angle on the left

= 90

90

-25

= 65 <--- that's x

Answer:

70 ft

Step-by-step explanation:

WHO WANTS SOME BONELESS PIZZA ??

Answer:

Step-by-step explanation:

[tex]\frac{r}{19}>-1[/tex]

Multiply both sides by 19

[tex]\frac{r}{19}*19>-1*19 \\\\r > -19[/tex]

Answer:

11.1 feet

Step-by-step explanation:

person = B  cat = C

                                          C

                                      /    |

                   /                       |     x

B /_48]________ ______|

              |____10ft____|

since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve.  (make sure to be in degrees lol)

tangent ( 48) = x/10

10 * tan(48) = x

11.1 = x

The cat is 11.1 feet high.

Answer: 24%

Step-by-step explanation:

Since we are informed that the Girl Scout Troop started with 25 girls and at the end of the year party there were 31 girls. The percentage change will be:

= (31 - 25) / 25 × 100

= 6/25 × 100

= 24%

The error that Gabby made was that she used 31 as the base. This is expressed below:

= 31 - 25) / 31 × 100

= 6/31 × 100

= 19.4%

Answer:

2. x^2  -3x

    -x      3

3. x^2   7x

   -2x       -14

Step-by-step explanation:

Im pretty sure this is right, but I am so sorry if it's not tho

Answer:

27 pages

Step-by-step explanation:

Since you read 3 pages on Monday and you read 3 times that number on Tuesday, the equation should be 3*3 to equal 9. Then, since you read 9 pages on Tuesday and 3 times that number on Wednesday, the equation should be 9*3 to equal 27 pages. So, on Wednesday, you read 27 pages in total.

Answer:

27 pages

Step-by-step explanation:

Monday=3 pages

Tuesday=3 pages × 3

=9 pages

Wednesday=9 pages × 3

=27 pages

hope it helps!!!

Answer:

Hope that answers your question

Answer:

81

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

9 squared is 81

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Answer:

$498.75

Step-by-step explanation:

Why it would be $498.75 is 500 - 25 is 475 then if you do 5% of 475 you get 23.75 and you will add that to the 475 and you will get $498.75.

Answer:

n = -2

Step-by-step explanation:

[tex] - 6n - 2n = 16[/tex]

➡️ [tex]( - 6 - 2)n = - 8n[/tex]

➡️ [tex] - 8n \div ( - 8) = 16 \div ( - 8)[/tex]

➡️ [tex]n = 16 \div ( - 8)[/tex]

➡️ [tex]n = - 16 \div 8[/tex]

➡️ [tex]n = - 2[/tex]

Answer: 12x-8y

Step-by-step explanation:

First, tan(θ) = sin(θ) / cos(θ), so if cos(θ) = 3/5 > 0 and tan(θ) < 0, then it follows that sin(θ) < 0.

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Then

sin(θ) = -√(1 - cos²(θ)) = -4/5

and so

tan(θ) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(θ) = 1/cos(θ) = 5/3

csc(θ) = 1/sin(θ) = -5/4

cot(θ) = 1/tan(θ) = -3/4

9514 1404 393

Explanation:

The work can be done in your head, so there's really nothing to show.

If you want to go into painful detail, you can do this ...

  [tex](2\sqrt{3x})(3\sqrt{6x^2})=(2\sqrt{3x})(3x\sqrt{6})=6x\sqrt{3\cdot6x}\\\\=6x\sqrt{3^2\cdot2x}=6x\cdot3\sqrt{2x}=\boxed{18x\sqrt{2x}}[/tex]

There may be some other intermediate steps you can show, or you can combine steps to the extent you think is appropriate.