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marshall27 [118]
3 years ago
6

(Photo) Help me!

Mathematics
2 answers:
velikii [3]3 years ago
8 0

As we cab see it is given clearly in the diagram that the diameter of the sphere in question is 12 units. Therefore, the radius of the sphere will be half of the diameter and thus, it will be:

radius, r=\frac{diameter}{2}=\frac{12}{2}=6 units.

Now that we know the value of the radius, r, we can find the surface area of the sphere by applying the following formula:

Surface Area=4\pi r^2

Therefore, Surface Area=4\pi(6)^2=4\times 36\times \pi=144\pi unit squared

Thus, out of the given options, Option C is the correct answer.

nasty-shy [4]3 years ago
3 0
It is C because 4 pi r^2 is the surface area equation. 4 times 6 squared= 144. 144pi = surface area.
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Joan works on commission for a furniture store. She gets a base pay of $85 a day plus 6 percent of the
podryga [215]

Answer:

Correct expression: 85 + 0.06(t - 400)

Correct earnings: $91

Step-by-step explanation:

The expression Joan wrote is incorrect because instead, $85, she put $400 as her base salary. The correct expression would be 85 + 0.06(t - 400), where 85 is her base pay in dollars, and t - 400 represents her sales in dollars exceeding $400.

If Joan's sales were $500, she would not make $424.90, but

85 + 0.06(t - 400)

85 + 0.06(500 - 400)

85 + 0.06(100)

85 + 6

$91

Hope this helps.

Cheers,

Andy

7 0
3 years ago
The sum of interior angles in a triangle are 180 degrees. Angle B and C are congruent. Angle B is twenty less than angle A. Writ
Margarita [4]

Answer:

A = 73.33

B = 53.33

C = 53.33

Step-by-step explanation:

Mathematically, adding the 3 angles would equal 180

Thus;

A + B + C = 180 •••••(i)

Since B and C are congruent, that means they are equal ( we are looking at isosceles triangle)

B = C •••••••••(ii)

Lastly;

B = A -20 ••••••••(iii)

Make a substitution in equation 1;

A + A -20 + A -20 = 180

Since B = C ; C also is A-20

3A -40 = 180

3A = 220

A = 220/3 = 73.33

B = C = A -20 = 73.33 -20 = 53.33

6 0
2 years ago
a coffee shop served 24 people before 7:00am. Two-thirds had decaf, and the remaining ordered a specialty coffee. How many custo
Stolb23 [73]
There were 8 customers who ordered specialty coffee. (24/1 x 1/3 = 8)
5 0
3 years ago
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-10, 12) and point (5, 3) rounded
Whitepunk [10]

Answer:

<h3>The answer is 17.5 units</h3>

Step-by-step explanation:

Using the distance formula

<h3>d =  \sqrt{ ({x2 - x1})^{2} +  ({y2 - y1})^{2}  }</h3>

the distance between (-10, 12) and (5, 3) is

<h3>d =  \sqrt{ ({5 + 10})^{2}  +  ({3 - 12})^{2} }</h3><h3>d =  \sqrt{ {15}^{2}  + ( { - 9})^{2} }</h3><h3>d =  \sqrt{225 + 81}</h3><h3>d =  \sqrt{306}</h3><h3>d = 3 \sqrt{34}</h3>

d = 17.492855

We have the final answer as

<h3>d = 17.5 units to the nearest tenth</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
If point F is the midpoint of segment DE, which statement is true?
FinnZ [79.3K]
Segment DF is 1/2 the length of Segment DE. Since the entire segment is DE and it's midpoint is at F, the segment would be broken into 2 equal segments in one. Segment DF and FE. Segment DF is congruent to Segment FE.
5 0
3 years ago
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