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balu736 [363]
3 years ago
10

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. A) 10π in2 B) 25π in2 C) 50π in2 D) 96π in2
Mathematics
1 answer:
Natali [406]3 years ago
7 0
When a sphere is cut by a plane which passes through the center, it will create a circle that has the same diameter of the sphere.

To represent this area, you will use the formula for finding area of a circle.

A= pi x r^2
Pi x 5^2
A = 25 x pi or choice B
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Solve 7 2 3 − ( 1 2 4 + 3 6 8 ) . Choose the number to complete the mixed number. Numbers may be used once or not at all. ASAP p
weqwewe [10]

Answer:

2\frac{5}{12} <em>is your answer.</em>

Step-by-step explanation:

7\frac{2}{3} -(1\frac{2}{4} +3\frac{6}{8} )\\\\\frac{23}{3} -(\frac{6}{4} +\frac{15}{4}) \\\\\frac{23}{3} -(\frac{21}{4})\\\\\frac{92-63}{12} \\\\\frac{29}{12} \\\\2\frac{5}{12}

6 0
2 years ago
Urve revolves around the x-axis. if you cannot evaluate the integral exactly, use your calculator to approximate it. (round your
Archy [21]

The value of integration of y=16-x^{2} from x=-1 to x=1 is 94/3.

Given the equation y=16-x^{2} and the limit of the integral be x=-1,x=1.

We are required to find the value of integration of y=16-x^{2} from x=-1 to x=1.

Equation is relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c.It may be linear equation, quadratic equation, or many more depending on the power of variable.

Integration is basically opposite of differentiation.

y=16-x^{2}

Find the integration of 16-x^{2}.

=16x-x^{3}/3

Now find the value of integration from x=-1 to x=1.

=16(1)-(1)^{3}/3-16(-1)-(-1)^{3}/3

=16(1)-1/3+16-1/3

=32-2/3

=(96-2)/3

=94/3

Hence the value of integration of y=16-x^{2} from x=-1 to x=1 is 94/3.

Learn more about integration at brainly.com/question/27419605

#SPJ4

4 0
1 year ago
G(x)=x^2-5<br> g(9)<br> help!
emmainna [20.7K]
You’re given g(x) = x^2 - 5

When asked to find g(9), you’re being told that x=9, since the x in the g(x) was replaced by 9.

So that’s telling you to put 9 in for all x’s:
g(9) = (9)^2 - 5

You then just need to clear up the right hand side.

9^2 - 5 = 81 - 5

= 76

So, g(9) = 76
6 0
2 years ago
4/-7 + -6/5 <br><br>In simplest form​
nlexa [21]

See attachment for math work and answer.

6 0
3 years ago
The admissions office of a private university released the following admission data for the preceding academic year: From a pool
lina2011 [118]

Answer: Our required probability is 0.1695.

Step-by-step explanation:

Since we have given that

Number of male applicants = 4200

Number of female applicants = 3800

So, total number of applicants = 4200+3800 = 8000

Probability of male entered and subsequently enrolled is given by

0.4\times 0.4=0.16

Probability of female entered and subsequently enrolled is given by

0.4\times 0.45\\\\=0.18

Number of male entered and subsequently enrolled is given by

0.16\times 4200\\\\=672

Number of female entered and subsequently enrolled is given by

0.18\times 3800\\\\=684

So, Probability that a student who applied  for admission will be accepted by the university and subsequently will enroll is given by

\dfrac{672+684}{8000}\\\\=\dfrac{1356}{8000}\\\\=0.1695

Hence, our required probability is 0.1695.

3 0
3 years ago
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