MATHEMATICS HIGH SCHOOL

Solve: 2a-3b=52a−3b=5

a+b=10

Answers

Answer 1
Answer: first you add 3b to both sides making it 2a=52a-5
and then you subtract 52a from each side making it -50a=-5
a=10
Next you substitute A
10+b=10
B=0

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A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. Find P (red or blue)A.) 2/3
B.) 5/8
C.) None are correct
D.) 3/4

Answers

The answer is B.

If there are 6 red marbles, 6 white marbles, and 4 blue marbles, then there are 16 marbles total. To find the probability (P) of either the red or blue marbles, you will add together the number of red and blue marbles, and divide that by the total:

(6 + 4) / (6 + 6 + 4)
10/14

This fraction can further reduce to 5/8 (by dividing both the numbers by 2). 

Answer:

5/8

Step-by-step explanation:

just took QC

Write what is the next image that follows this pattern. Explain why.

Answers


Braydon ...

Please see the drawing and explanation that I have attached.

There may be other ways to interpret it, but this is what I see
when I look at it.

Find the circumference and area of the circle whose equation is(x-9)^2 + (y-3)^2 = 64. Leave the answer in the terms of pi

Answers

(x-9)^2+(y-3)^2=64\n\ncenter\ of\ the\ circle:(9;\ 3)\n\nradius:r=√(64)=8\n\ncircumference:C_O=2\pi r\to C_O=2\pi\cdot8=16\pi\n\narea:A_O=\pi r^2\to A_O=\pi\cdot8^2=64\pi

Each week, Marcia travels to the office where she works, the supermarket, and a local fitness center. The three locations represent the vertices of a triangle. Marcia wants to move to an apartment that is equidistant from these three places. Where should her new apartment be located? The center of the inscribed circle of the triangle

the center of the circumscribed circle of the triangle

the point of intersection of the angle bisectors for the triangle

the point of intersection of the perpendicular bisectors and the angle bisectors for the triangle

Answers

the point of intersection of the  perpendicular bisectors and the angle bisectors

Answer:

D

Step-by-step explanation:

Just did the test.

The measurement of one angle of a right triangle is 42°. What is the measurement of the missing angle?

Answers

All triangles have 3 angles that add up to 180 degrees.
All right angle triangles have a 90 degree angle.
You have two angles, 90 and 42.
To find the last one, add 90 and 42. Then subtract that from 180 degrees.

90+42=132
180-132=48

        Therefore, the missing angle is 48 degrees.

Answer:

48°

Explanation:

42 + 90 = 132

because all triangle angles add up to 180°, then:

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The volume of a cylinder with height to radius ratio of 4:1 is 108 pie centimeters cubed. Find the radius and height of the cylinder.

Answers

H:r=4:1\n\n(H)/(r)=(4)/(1)\to H=4r\ (*)\n\nV=108\pi\ cm^3\n\nV=\pi r^2H\n\nsubstitute\ (*)\n\n\pi r^2\cdot4r=108\pi\ \ \ \ /:4\pi\n\nr^3=27\n\nr=\sqrt[3]{27}\n\nr=3\ (cm)\n\nH=4r=4\cdot3=12\ (cm)\n\nAnswer:radius=3\ cm\ and\ height=12\ cm.
4:1 height to radius
let x be radius
let 4x be height

V=(pi)(r)^2h
108(pi)=(pi)x^2(4x)
divide both sides by pi
108=x^2(4x)
108=4x^3
divide both sides by 4
27=x^3
cube root both sides
x=3

therefore the radius is 3 and the height is 12
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