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Vera_Pavlovna [14]
4 years ago
11

A sphere of diameter 10 inches is cut by a plane which passes through its center. Find the area of the cross-section, leaving th

e answer in terms of π.
Mathematics
1 answer:
sveticcg [70]4 years ago
5 0
The area would be 25π inches.

Since the cross-section goes through the center of the sphere it will be a circle.  The area of a circle is given by A = πr²; for our circle, since the diameter is 10 inches, the radius is 5; 

A = π(5²) = 25π
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Blake eats two bags of potato chips each day. Blake's hourly wage increases from $8 to $15 , and he decides to stop eating gener
dimulka [17.4K]

Answer:

E = 1.09

Step-by-step explanation:

Elasticity measures the sensitivity of demand with changes in income.

Elasticity of Income has the formula:

[Change in Demand/Demand]/[Change in Income/Income]

So, now, we have:

D_0 = 2

D_1 = 1

I_0 = 8

I_1 = 15

Now, Elasticity (E) is:

E = [(1-2)/(1+2)]/[(15-8)/(15+8)]

E = [1/3]/[7/23]

E = 1.09

4 0
4 years ago
I really need help with 7 and 8
Nikolay [14]
7. 55 + 35 + x = 180   x = 90 making the triangle a right triangle.

8. The room would be 11 inches by 8.5 inches. The scale factor is 1/2 : 1
6 0
3 years ago
Edgar owns 234 shares of Cawh Consolidated Bank, which he bought for $21.38 apiece. Each share pays a yearly dividend of $3.15.
trapecia [35]

Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.

Step-by-step explanation:

Firstly, the yield for stocks will be calculated as:

= return/ investment cost

= $3.15/$ 21.38

= 0.14733395

= 14.73%

The yield for bonds will be calculated as:

= Return/Investment cost

Return = 1,000 x 8.3% = 83

Investment cost = 1,000 x 105.166/100 = 1051.66‬

Yield = 83/1051.66

= 0.07892284

= 7.89%

Then, the difference between the yield will be:

= 14.73% - 7.89%

= 6.84%

Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.

8 0
3 years ago
Which points are on the line that connects points (0, 4) and (1, 2)? Select all that apply.
AVprozaik [17]
The points that connect (0,4) and (1,2) are B, E and F. Please mark Brainliest and Hope this Helps
7 0
3 years ago
Find the product. If the result is negative, enter "-". If the result is positive, enter "+". -7(- a2 ) 2 ( -b3 ).
m_a_m_a [10]

Answer:

The product is positive, thus it is \bold{+7a^4b^3}

Step-by-step explanation:

The full question in proper notation is:

"Find the product. If the result is negative, enter "-". If the result is positive, enter "+".

-7(-a^2)^2(-b^3)"

We have to work with it using Order of operations know as well as PEMDAS, thus expression inside parenthesis go first and exponents.

On this expression we have to work with exponents

(-a^2)^2 = (-a^2)(-a^2) =a^4

Thus we get

-7(-a^2)^2(-b^3)=-7a^4(-b^3)

Lastly we can work with multiplication and remembering that the multiplication of two negative signs becomes positive.

-7(-a^2)^2(-b^3)=7a^4b^3

So the final simplified expression is \bold{7a^4b^3}

5 0
3 years ago
Read 2 more answers
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