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4 years ago

Segment passes through a sphere with Center P. Points X and Y lie on the sphere. Which term BEST describes

Mathematics

1 answer:

DiKsa [7]4 years ago

7 0

Answer:

Step-by-step explanation:

a set of al( 4pts) Find the equation of the sphere with center at (2,3,−1) That passes through the point ... ( 4pts) Find the point C on the line segment joining A(2,2,1) to B (3,−1,2) that divides it ... ( 4pts) Find the parametric equations of the line that contains the point P (0,2,1) and intersects the line L : x = 2t, y = 1 − 2t, z = 3 − t at a right angle. l points in a plane that are equidistant from a given point called the center

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Please help

jolli1 [7]

Answer:

Part a) $114.3\ yd^{2}$

Part b) $49.5\ yd^{2}$

Step-by-step explanation:

Part a) we know that

The area of the shaded figure is equal to the area of semicircle plus the area of a triangle

Find the area of semicircle

The area of a semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=5\ yd$

substitute

$A=\frac{1}{2}\pi (5)^{2}=12.5 \pi\ yd^{2}$

Find the area of triangle

The area of the triangle is equal to

$A=\frac{1}{2}(b)(h)$

we have

$b=15\ yd$

$h=5(2)=10\ yd$ -----> the height of triangle is equal to the diameter of semicircle

substitute

$A=\frac{1}{2}(15)(10)=75\ yd^{2}$

Find the area of the shaded figure

$12.5 \pi\ yd^{2}+75\ yd^{2}=(12.5 \pi+75)\ yd^{2}$

assume

$\pi=3.14$

$(12.5(3.14)+75)=114.3\ yd^{2}$

Part b) we know that

The area of the shaded figure is equal to the area of the triangle minus the area of the circle

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=5\ yd$

substitute

$A=\pi (5)^{2}=25 \pi\ yd^{2}$

Find the area of triangle

The area of the triangle is equal to

$A=\frac{1}{2}(b)(h)$

we have

$b=16\ yd$

$h=16\ yd$

substitute

$A=\frac{1}{2}(16)(16)=128\ yd^{2}$

Find the area of the shaded figure

$128\ yd^{2}-25 \pi\ yd^{2}=(128-25 \pi)\ yd^{2}$

assume

$\pi=3.14$

$(128-25(3.14))=49.5\ yd^{2}$

3 0

3 years ago

A student has passed 60 percent of the 20 quizzes he has written so far successfully. If the student writes 50 quizzes during th

max2010maxim [7]

We can first find the total number of quizzes and the number he got them right:

Total number: 20+80=100

Total correct answer:
20×60%+50×80%
=52

We can then find the percentage:
$\frac{52}{100} \times 100 \\ = 52$

Therefore the answer is 52%.

Hope it helps!

5 0

3 years ago

Change the following expression involving addition and subtraction into one only involving addition

Mumz [18]

7+(-3)+8+(-2)+(-6)+1+3

6 0

3 years ago

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If the triangle has a base length of 8in and a total area of 32 in what is the height

natali 33 [55]

Your answer would be 8.
When finding the area of a triangle, the formula is half the base times the height. 8x8=64, 64/2 is 32. PLEASE MARK BRAINLIEST IF I HELPED

7 0

3 years ago

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3/20 of what number is nine

Leviafan [203]

60.

You got backwards. Usually, you would divide by the bottom and multiply by the top.

This time, you do 9 divided by 3 which is 3. Then 3 multiplied by 20 which is 60.

5 0

3 years ago

Read 2 more answers