Can someone help me please? I keep getting this wrong. Match the reasons for the statements. Thank you!

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:

10/7*2/5= 20/35=4/7

Answer:

4/7

Step-by-step explanation:

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:

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: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:

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:

7 - (-4)

Step-by-step explanation:

You can turn the numbers.

Answer:

I would go for D

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:

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 .

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:

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:

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:

B. 16/25

Step-by-step explanation:

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

Answer:

8

Step-by-step explanation:

A=l*w

32*2=64

A=s*s

s=√A

√64

=8

The length in centimeters of the side of the square is 8 cm.

The area of a rectangle and a square are -

A{R} = Length x Breadth

A{S} = Side x Side

Given is that a square and a rectangle have the same area. The length of the rectangle is 32 cm and the width of the rectangle is 2 cm.

It is given that -

A{R} = A{S}

Length x Breadth = Side x Side

32 x 2 = (Side)²

(Side)² = 64

Side = 8

Therefore, the length in centimeters of the side of the square is 8 cm.

To solve more questions on areas, visit the link below -

brainly.com/question/30066987

#SPJ2

Answer:

x=18

Step-by-step explanation:

7x-1=125

 +1    +1

7x=126

7      7

X=18

The correct answer is 4096.

Let me know if you need help

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:

x = 35, y = 18

Step-by-step explanation:

Since both triangles are similar, their sides must be proportional with means all of them have a common ratio.

If NM = 16, and KJ = 40. 40/16 is the ratio from ∆NML to ∆JKL. The reciprocal(numerator and denominator flip, the product of a number and it's reciprocal is 1) of this is true from ∆JKL to ∆NML.

Now to find the missing sides you multiply a side by the common ratio to find it's corresponding side length.

Dividing by a number is the same as multiplying by the reciprocal of that number.

40/16 can be reduced to 5/2 or 2 ½ as a mixed fraction.

16/40 can be reduced to 2/5 or 0.4 as a decimal.

Since the scale of ∆JKL is greater than ∆NML, you multiply by 5/2 to get the corresponding side of ∆JKL from ∆NML.

Since the scale of ∆NML is less than ∆JKL, you multiply by 2/5 to get the corresponding side of ∆NNL from ∆JKL.

Therefore x = 14 × 5/2 = 70/2 = 35.

y = 45 × 2/5 = 90/5 = 18.

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:

4

Step-by-step explanation:

8/2=4

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:

A) x=2

Step-by-step explanation:

If the parent graph f(x) = x² is changed to f(x) = 2x², the vertex of the parabola will still remain (0, 0) because whenever the equation of a parabola is in the form y = ax², the vertex will always be (0, 0).

Now if a is a big number, the parabola will become narrower.

So it will stretch vertically and become narrower.

Answer:

-59

Step-by-step explanation:

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

(-48) + (-11)

-48 -11

-59