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4vir4ik [10]
2 years ago
7

Find the value of x so that the line through the pair of points has the given slope.

Mathematics
1 answer:
Nesterboy [21]2 years ago
7 0

Step-by-step explanation:

A.Carbon dioxide is used (a substrate)

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Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
jenyasd209 [6]

Answer:

C. About 75 in²; Aubrey found the surface area of the cone and included the base.

Step-by-step explanation:

In the questions above we were given the following:

Cone with

Diameter(D) = 6 inches

Slant height (l) = 8 inches.

Aubrey made an error in her calculation.

She found the Total Surface area of the cone using the formula:

Total Surface Area of a cone = πrl + πr²

= πr(l + r)

The Total surface area of a cone is the calculated as Sum of the curved surface area of a cone and the base of the cone.

Where:

Curved surface area of the cone is calculated as = πrl

Base of a cone is calculated as = πr²

Where r = radius of the cone

l = slant height of the cone

In the question, we were given

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Surface area = 3.14 × 3(8+3)

= 9.42 × 11

Surface area = 103.62 in²

Approximately to the nearest inch = 104 in² or 104 square inches.

But this answer is WRONG.

The RIGHT FORMULA Aubrey should have used is

Curved Surface Area or the Lateral Area of a Cone = πrL

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Curved Surface Area of a Cone = πrL

= 3.14 × 3 inches × 8 inches

= 75.36 square inches or 75.36in²

Approximately to the nearest inch = 75 square inches or 75 in².

This is the correct answer.

The error Aubrey made was she calculated the Total surface area of the cone which includes the base of the cone instead of calculating the curved surface area of the cone only.

Hence, from the above calculation , we can see that Option C "About 75 in²; Aubrey found the surface area of the cone and included the base" is the correct option.

5 0
2 years ago
Which statements describe the graph of y = 3√x-1+2 ? Check all that apply.
Reptile [31]

Answer:

The correct options are A, D and E.

Step-by-step explanation:

We are given the function y=\sqrt[3]{x-1} +2

From the graph below, we see that,

Domain and range of the function is the set of all real numbers.

<em>As y-intercept is the point where the graph of the function crosses y-axis.</em>

That is, y-intercept is obtained when x= 0.

So, on substituting, we have,

y=\sqrt[3]{0-1} +2

i.e. y=-1+2

i.e. y= 1

Thus, the y-intercept is (0,1).

<em>Also, x-intercept is the point where the graph of the function crosses x-axis.</em>

That is, x-intercept is obtained when y= 0.

So, on substituting, we have,

0=\sqrt[3]{x-1} +2

i.e. -2=\sqrt[3]{x-1}

i.e. -8=x-1

i.e. x= -7

Thus, the x-intercept is (-7,0).

Hence, the correct options for the function are,

A. The graph has a domain of all real numbers.

D. The graph has a y-intercept at (0, 1)

E. The graph has an x-intercept at (–7, 0).

3 0
2 years ago
Read 2 more answers
NEED HELP DUE IN 10 MINUTES!!!
slavikrds [6]
Where is the question? I would be more than happy to help you but you did not post a question
3 0
2 years ago
X÷3.7=5? Need help.
Hatshy [7]

Answer:

x = 18.5

Step-by-step explanation:

Multiply 5 and 3.7.

Which equals 18.5.

Check: 18.5 / 3.7 = 5.√

7 0
3 years ago
5. Angie is mixing together yellow paint and blue paint to make 2 shades of green paint. She fills −4 of can A with yellow paint
trapecia [35]

Answer:

she can pour more paint in in can<u> </u><u>B</u>

Step-by-step explanation:

4 0
3 years ago
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