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2 years ago

If a plane intersects a sphere, what is the shape of the resulting cross section?

Mathematics

2 answers:

MariettaO [177]2 years ago

7 0

Answer:

The resulting cross sectional area will be circle.

Step-by-step explanation:

If a plane intersects a sphere it will give the cross sectional shape of circle

Whenever a plane intersects a three dimensional figure it will result in two dimensional figure.

The sphere when intersects by a plane will always give the circle no matter where does it intersect from.

lana66690 [7]2 years ago

6 0

A circle is the answer

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PLZ HELP OR I FAIL MY TEST

Volgvan

Answer:

time upstream=24/8=3 hours

time downstream=24/12=2 hours

Step-by-step explanation:

If R*T=D, and R is speed + or - current, how can you find the rate without the time, and how can you find the time without the rate?

THE KEY WAS WHEN WE WERE TOLD THAT IT TAKES ONE HOUR LONGER TO GO UPSTREAM THAN DOWNSTREAM BECAUSE T=D/R AND WE ARE TOLD THAT:

D/R(Upstream) minus 1 equals D/R (DOWNSTREAM)

Let x=rate of current

distance(d)=rate(r) times time(t) or d=rt or t=d/r

distance upstream=distance downstream=24 mi

rate upstream=10-x

rate downstream=10+x

time upstream=(distance upstream)/(rate upstream)=24/(10-x)

time downstream=(distance downstream)/(rate downstream)=24/(10+x)

Now, we are told that time upstream minus one hour equals time downstream. So our equation to solve is:

24/(10-x)-1=24/(10+x) Multiply both sides by (10-x)(10+x)

24(10+x)(10-x)/(10-x)-1(10-x)(10+x)=24(10-x)/(10+x)/(10+x) clear fractions

24(10+x)-(10-x)(10+x)=24(10-x) clear parens

240+24x-100-10x+10x+x^2=240-24x subtract 240 from and add 24x to both sides

240-240+24x+24x-100+x^2=240-240-24x+24x collect like terms

x^2+48x-100=0 ----------------quadratic equation in standard form

This equation can be factored:

(x+50)(x-2)=0

x=-50 mph----------------discount the negative value for speed

and

x=2 mph----------------------speed of the current

10-x=10-2= 8 mph -----------------------speed upstream

10+x=10+2=12 mph--------------------------speed downstream

time upstream=24/8=3 hours

time downstream=24/12=2 hours

so 3-2=1----takes 1 hour longer upstream

7 0

2 years ago

H(x) = x^2 + 1 k(x) = x – 2<br> (h + k)(2)=?

likoan [24]

First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.

Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1

Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2

6 0

3 years ago

A cone had a diameter of 6 centimeters and a height that is 5 times the diameter. Using 3.14 for pi, which of the following can

marysya [2.9K]

Answer:

Step-by-step explanation:

3 0

2 years ago

The ratio of two numbers is 8:7. The product of these numbers is 896. What is the smaller of these two

Darina [25.2K]

Answer:

Step-by-step explanation:

You want the smaller of the two factors of 896 that have the ratio 8:7.

<h3>Setup</h3>

Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...

x(8/7)x = 896

(8/7)x² = 896

<h3>Solution</h3>

Multiplying by the inverse of the coefficient of x², we have ...

x² = (7/8)(896) = 784

x = √784 = 28 . . . . . . . . take square root

The smaller of the two numbers is 28.

<em>Additional comment</em>

The larger is (8/7)(28) = 32.

5 0

1 year ago

Stocks are units of ownership in a company. The stock market is a place where stocks are bought and sold. When you buy a stock,

SIZIF [17.4K]

The absolute value is three.
Think of it like this. Whenever the absolute value is there, the number or expression inside, whether negative or positive takes a shower. When they are done showering, they are clean. The clean equals positive, all numbers after absolute value are positive so the answer is three.

8 0

2 years ago

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