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2 years ago

HURRY! What value of m completed the two-way table?

Mathematics

2 answers:

vlabodo [156]2 years ago

8 0

<h3>Answer: 13</h3>

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Explanation:

We're told that there are 50 people in each grade that are surveyed. So that means 50 eighth graders were surveyed.

Add up the values along the bottom row. Set the sum equal to 50 and solve for m

m+8+29 = 50

m+37 = 50

m = 50-37

m = 13

Then note how 13+8+29 = 50 along the bottom row. Also, for the top row we have 17+15+18 = 50 as well.

Kobotan [32]2 years ago

3 0

Answer:

A - 13

Step-by-step explanation:

50 (8th graders) - 8 (tiling lovers) - 29 (carpeting lovers) = 13 (wooden floor lovers)

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Prove that sin3a-cos3a/sina+cosa=2sin2a-1

Sloan [31]

Answer:

$\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1$

Step-by-step explanation:

we are given

$\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1$

we can simplify left side and make it equal to right side

we can use trig identity

$sin(3a)=3sin(a)-4sin^3(a)$

$cos(3a)=4cos^3(a)-3cos(a)$

now, we can plug values

$\frac{(3sin(a)-4sin^3(a))-(4cos^3(a)-3cos(a))}{sin(a)+cos(a)}$

now, we can simplify

$\frac{3sin(a)-4sin^3(a)-4cos^3(a)+3cos(a)}{sin(a)+cos(a)}$

$\frac{3sin(a)+3cos(a)-4sin^3(a)-4cos^3(a)}{sin(a)+cos(a)}$

$\frac{3(sin(a)+cos(a))-4(sin^3(a)+cos^3(a))}{sin(a)+cos(a)}$

now, we can factor it

$\frac{3(sin(a)+cos(a))-4(sin(a)+cos(a))(sin^2(a)+cos^2(a)-sin(a)cos(a)}{sin(a)+cos(a)}$

$\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}$

we can use trig identity

$sin^2(a)+cos^2(a)=1$

$\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}$

we can cancel terms

$=3-4(1-sin(a)cos(a))$

now, we can simplify it further

$=3-4+4sin(a)cos(a))$

$=-1+4sin(a)cos(a))$

$=4sin(a)cos(a)-1$

$=2\times 2sin(a)cos(a)-1$

now, we can use trig identity

$2sin(a)cos(a)=sin(2a)$

we can replace it

$=2sin(2a)-1$

so,

$\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1$

7 0

2 years ago

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Multiply. Write the answer in simplest form.<br> 2 1/3 x 3/10

rusak2 [61]

Answer:

Seven Over Ten 7/10

Step-by-step explanation:

Multiply them and simplify and you get seven tenths.

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2 years ago

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Amelia has a 1-6 number cube. She rolls the cube twice. What is the probability that she rolls two even

Viktor [21]

Answer:

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Step-by-step explanation:

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2 years ago

What is the volume of this cone?

dlinn [17]

Answer:

167.46

Step-by-step explanation:

$V=\frac{1}{3} X \pi r^{2} X h$

$\frac{1}{3} x 3.14 x 4^{2} x10$

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3 0

2 years ago

Will mark brainliest! Answer quickly please.

inn [45]

1400kg.
Force=ma
2100N= m*1.5
2100/1.5= 1400kg.
Please mark me brainliest :)

3 0

2 years ago