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Bas_tet [7]
3 years ago
5

Find the lateral and total surface area for the cone. If necessary, round to the nearest tenth and leave the

Mathematics
1 answer:
bija089 [108]3 years ago
3 0

9514 1404 393

Answer:

  • 262.2π cm²
  • 392.16π cm²

Step-by-step explanation:

The lateral surface area is the product of half the circumference, and the slant height:

  LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²

The total surface area adds the area of the base to that:

  A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²

  A = 392.16π cm²

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Several students from boxerville middle stood in a circle, evenly spaced, to play a game. If the 6th student was directly across
myrzilka [38]

Answer:

There were 14 students in the circle

Step-by-step explanation:

* Lets explain how to solve the problem

- The students stood in a circle

∴ The line joining each two opposite students is the diameter

  of the circle

- The 6th student was directly across from the 13th student

∴ The 6th student is opposite to the 13th student

- Lets count how many students between 6th student and

 13th student

∵ 7th , 8th , 9th , 10th , 11th , 12th students between the 6th

  student and 13th student

∴ There are 6 students between them

- Lets count how many students between 13th student and

 6th student

∵ 14th , 1st , 2nd , 3rd , 4th , 5th students between the 13th

  student and 6th student

∴ There are 6 students between them

∵ There are 6 students between 6th and 13th

∵ There are 6 students between 13th and 6th

∵ There are 2 students in 6th and 13th

∴ The number of the students = 6 + 6 + 2 = 14

∴ There were 14 students in the circle

8 0
4 years ago
6. A two-story building measures 21 feet
Y_Kistochka [10]

Answer:

12

Step-by-step explanation:

First figure the ratio of the real building to the model which is 21 divide 3. So the ratio is 1:7, since we're finding the height of the model, we divide 7 by 84 which is 12

7 0
3 years ago
One batch of walnut muffins uses 1 1/3 cups of walnuts. How many cups of
natali 33 [55]

Answer:

5 cups

I would appreciate Brainliest but no worries.

8 0
3 years ago
Find the price per ounce rounded to the nearest cent: 1 lb 10 oz for $10.98.
Pachacha [2.7K]
Answer is C.) $0.42/oz
3 0
3 years ago
Haley’s work evaluating (Negative 2) Superscript 8 is shown below.
PSYCHO15rus [73]

Answer:

D

Step-by-step explanation:

<em>The statements are shown below:</em>

<em>A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2. </em>

<em>B) She used the wrong number as a repeated factor and should have evaluated -(8x8). </em>

<em>C) She misinterpreted the exponential form and should have multiplied -2 and 8. </em>

<em>D) She made a sign error when multiplying and should have had 256 as a final answer.</em>

<em />

<u>Solution:</u>

<u />

The problem to simplify is:

(-2)^{8}

Haley's steps are shown below:

(-2)^{8}=(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)=-256

Generally,

(a)^b  is actually "a" multiplied "b" times.

So, Haley wrote "-2" eight times multiplied together. That is okay.

Now,

We are dealing with negative numbers.

  • When negative numbers are multiplied "odd" number of times, the answer is negative.
  • When negative numbers are multiplied "even" number of times, the answer is positive.

Haley wrote "-2" eight times, which is EVEN number of times, so the answer would be POSITIVE. But, Haley's answer is negative. Which is wrong. But "256" is right.

Haley's error is:

Answer choice D

6 0
3 years ago
Read 2 more answers
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