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Alchen [17]
3 years ago
10

The large sphere has a diameter of 20 feet. which expression represents the volume, in cubic units, of the shaded part of the sp

here? π(103) + π(43) π(103) – π(43) π(203) + π(43) π(203) – π(43)
Mathematics
2 answers:
puteri [66]3 years ago
7 0
B: 4/3pi(10^3)-4/3pi(4^3)
lorasvet [3.4K]3 years ago
6 0
The answer is b. π(10^3) – π(4^3)<span>         </span>
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AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.
Marat540 [252]

Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

6 0
3 years ago
Given functions f ( x ) = 1 √ x and m ( x ) = x 2 − 4 , state the domains of the following functions using interval notation.
babunello [35]

The domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) =  1/√x

m(x) = x² - 4

Domain of f(x)/m(x):

f(x)/m(x) = (1/√x)/(x² - 4)

f(x)/m(x) = 1/√x(x² - 4)

The denominator cannot be zero:

√x(x² - 4) ≠ 0

x(x - 2)(x+2) ≠ 0

x ≠ 0, 2, -2

and x > 0

Domain of f(x)/m(x) is:   (0, ∞) - {0, 2, -2} or \:\left(0,\:2\right)\cup \left(2,\:\infty \:\right)

Domain of f(m(x)):

f(m(x)) = 1/√(x² - 4)

x² - 4 > 0

Domain: \rm \left(-\infty \:,\:-2\right)\cup \left(2,\:\infty \:\right)

Domain of m(f(x)):

= ((1/√x)² - 4)

Domain: \:\left(0,\:\infty \:\right)

Thus, the domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

7 0
2 years ago
5z3 - 224 - 9z2 + 2<br> What is the degree of the polynomial?<br> I
hoa [83]

Answer:

5{z}^{3}-222-9{z}^{2}5z

​3

​​ −222−9z

​2

Step-by-step explanation:

1 Collect like terms.

5{z}^{3}+(-224+2)-9{z}^{2}5z

​3

​​ +(−224+2)−9z

​2

​​  

2 Simplify.

5{z}^{3}-222-9{z}^{2}5z

​3

​​ −222−9z

​2

​​  

Done

7 0
3 years ago
An airplane is 1440 above a buoy in the ocean. The buoy is 15 miles away from the mainland What is the diagonal distance in mite
Crazy boy [7]

Answer:

1440.08 mi

Step-by-step explanation:

Pythagorean Theorem:

\sqrt{1440^{2}+15^{2}  } = 1440.08

6 0
3 years ago
A rectangle is shown with length x plus 10 and width 2 x plus 5. The inside of the rectangle is shaded other than an unshaded sq
klio [65]

Answer:

Step-by-step explanation:

A rectangle is shown with length x plus 10 and width 2 x plus 5.

so the rectangle area = length * width

= (x + 10) * (2x + 5)

an unshaded square with length x plus 1 and width x plus 1

so the unshaded square area = (x + 1) * (x + 1)

the shaded area = rectangle area - square area

= (x + 10) * (2x + 5) - (x + 1) * (x + 1)

= (2x^2 + 20x + 5x + 50) - (x^2 + x + x + 1)

= x^2 + 23x + 49

3 0
3 years ago
Read 2 more answers
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