Select the correct answer from each drop-down menu. Describe the relationship between the area of a circle and its circumference. The (area, diameter, or radius) is (1/3, 1/2, 2, or 3) times the (area, diameter, or radius) times the circumference. (PLEASE HELP ME)

Answer:

Part A)

The lower base has a radius of 9 units, and the upper base has a radius of 6 units.

Part B)

5 units.

Part C)

75π or about 235.62 square units.

Step-by-step explanation:

Please refer to the figure below.

The cone has a radius of 9 units and a total height of 12 units.

A frustum of the cone has a height of 4 units.

Part A)

The lower radius of the frustum will simply be 9 units.

For the upper radius, we will use the properties of similar triangles. We will compare the smaller upper triangle to the overall larger triangle. This yields:

[tex]\displaystyle \frac{12}{8}=\frac{9}{x}[/tex]

Solve for x. Simplify:

[tex]\displaystyle \frac{3}{2}=\frac{9}{x}[/tex]

Cross-multiply:

[tex]18=3x\Rightarrow x=6[/tex]

The upper base has a radius of 6 units.

Part B)

We can first find the total slant height of the entire cone. By using the Pythagorean Theorem, this yields that the total slant height is:

[tex]SH^2=12^2+9^2[/tex]

Simplify:

[tex]SH^2=225\Rightarrow SH=15\text{ units}[/tex]

Now, find the slant height of the upper cone:

[tex](SH_\text{cone})^2=8^2+6^2=100[/tex]

So:

[tex]SH_\text{cone}=10[/tex]

Then the slant height of the frustum will be the cone subtracted from the total. Thus:

[tex]SH_{\text{frustum}}=15-10=5\text{ units}[/tex]

Part C)

We can first find the lateral area of the entire cone. The lateral area is given by:

[tex]LA=\pi r\ell[/tex]

The lateral area of the entire cone will be:

[tex]LA=\pi (9)(15)=135\pi[/tex]

The lateral area of the upper cone will be:

[tex]LA_\text{cone}=\pi(6)(10)=60\pi[/tex]

Then the lateral area of the frustum is:

[tex]LA_\text{frustum}=135\pi-60\pi =75\pi\text{ units}^2\approx235.62\text{ units}^2[/tex]

Answer:

4

Step-by-step explanation:

8/2=4

Answer:

I would go for D

Answer:

B. 16/25

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!

Answer:

3/4

Step-by-step explanation:

54/72 simplified is the same as 3/4

Answer:

5

Step-by-step explanation:

As we can see they are similar triangles then

the ratio of the corresponding sides are equal then

x /25 = 9/45

x = 25 * 1/ 5

x = 5

Hope it will help :)

Answer:

Jun 25, 2018 — Reflection over the y -axis. Vertical stretch by a factor of two. Horizontal translation right two units. Vertical translation up two units. I hope this helps you .. ;]

Step-by-step explanation:

Answer:

X = 9, in other words it's A

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

x+7=-2

 -7   -7

-7 plus -2 equal 9

:) hope that helped

Answer:

4

Step-by-step explanation:

2 x 4 = 8

Absolute value means no symbols so it would just be 2 x something equals 8 which is 4.

Answer:

Expression is; 29 - x = 16

Step-by-step explanation:

I've attached an image showing the number line

Step-by-step explanation:

We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.

Let the drop be x.

Thus;

29 - x = 16

I've attached an image showing the number line

Answer:

-59

Step-by-step explanation:

(-6) (8) + (-11)

(-48) + (-11)

-48 -11

-59

Answer:

A point on (0,2) and (7,3)

Step-by-step explanation:

First draw a point on 2 y axis to represent y intercept. The slope is rise over run in this example, do it backwards so go right 7 and 1 up. So it is (7,-3)

Check:  3-2/7-0

1/7 is slope

So this solution is correct

Answer:

8/12

Step-by-step explanation:

Given that:

Dividing into 12 steps

Total step, fraction = 1

Each of the 12 steps = 1/12

If two steps is completed in one day:

. Steps completed per day :

2 (1/12)

= 2 /12 steps per day

Fraction of steps completed after 4 days

Fraction of steps per day * number of days

2 /12 * 4

(4*2) / 12

8/12

Answer:

48 cm

Step-by-step explanation:

6x8 Please   dont  be mad if  im  wrong TT>TT

Answer:

7 - (-4)

Step-by-step explanation:

You can turn the numbers.

Answer:

the penny because, the amount is going to triple everyday which will leave you with alot more money towards the end, and I've seen this so definitely pick the penny.

Answer:8.125 ft

Step-by-step explanation:

Given

Plastic pipes of 5 ft are cut  into 8 rods

The length of each rod will be

[tex]\Rightarrow \dfrac{5}{8}\ ft[/tex]

The total length for 13 rods are

[tex]\Rightarrow L=13\times \dfrac{5}{8}=\dfrac{65}{8}\ ft\\\Rightarrow L=8.125\ ft[/tex]

Answer:

first arrange the numbers in ascending order 3,5,7,8,9,9,10,11,12

Answer:

с

The mean will increase and the median will remain the same.

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

Sum of angles lying on any part(upper or lower) of a line is 180°.

=> (2x + 45°) + x = 180°

=> 3x = 180° - 45°

=> 3x = 135°

=> x = 135°/3

=> x = 45°

Answer:

x=18

Step-by-step explanation:

7x-1=125

 +1    +1

7x=126

7      7

X=18

Answer:

The y-intercept is 35 and it represents how much she's already going to pay before adding a massage.

Answer: 90

Step-by-step explanation:

1 times 90 equal 90

Answer:

D seems to be the answer

Step-by-step explanation:

log7(35) =2

Answer:

C

Step-by-step explanation:

y=log7(35)/2

khan academy

Answer:

A) x=2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i did this b4

The following is the difference of two squares

2. 8x² - 16y²

3. 25m² + 100n²

4. 100 [tex]a^4[/tex] - 9 [tex]b^{12[/tex]

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given:

we have to find expression for difference of two squares

1. 4g - 16h

= (2)²g- (4)²h

2. 8x² - 16y²

= (2√2x)² - (4y)²

3. 25m² + 100n²

= (5m)² + (10n)²

4. 100 [tex]a^4[/tex] - 9 [tex]b^{12[/tex]

= (10a²)² - (3[tex]b^6[/tex])²

Learn more about expression here:

https://brainly.com/question/13947055

#SPJ5

Answer: The artist used 8.6 inches more of silver wire

Step-by-step explanation:

Perimeter of the square

P = 4*a

P = 4*a = 40 in

a = 10 in

Each side of the square has a length of 10 in

The diameter of the circle is equal to the length of the side of the square

Diameter = 10 in

Perimeter of the circle

P_c = 2*π*radius = π*diameter

P_c = (3.14)*10 in = 31.4 in

Inches of silver wire (square) = 40 in

Inches of copper wire (circle) = 31.4 in

40- 31.4 in = 8.6 in

Answer:

The most appropriate inferential statistic test in the present situation is the;

b. Two-sample t-test

Step-by-step explanation:

From the question, we have;

The number of subjects in each sample, n₁ = 100

The number of samples = 2

The nature of the test = To compare the two means

The value of the population standard deviation, σ = Unknown

From the given parameters, we have;

The t-test is a method of inferential statistics for determining whether the difference between the mean of two groups is significant, that is if the observed difference are due to chance, where the groups are likely to have some characteristics that are related

The t-test is utilized when testing an hypothesis, and it is used for small samples, where the population standard deviation is unknown

The types of t-test used are;

a) One-sample t-test

b) Two-sample t-test

c) Paired Sample t-test

Therefore, a two-sample t-test is most appropriate.

Answer:

1,260

Step-by-step explanation:

6x3=18 7000÷18=1,260

Answer:

18% or 1260$

Step-by-step explanation:

first u find 6% of 7000 then you multiply it by 3 for those three years .