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3 years ago

Find the slope of the line that goes through the given points. (1, - 6) and (3,6)

Mathematics

1 answer:

quester [9]3 years ago

6 0

Answer: The slope is 6.

Step-by-step explanation:

The slope is the difference between the y coordinates divided by the difference between the x coordinates.

y coordinates: -6 and 6.

x coordinates: 1 and 3.

Difference in y: -6 - 6 = -12

Difference in x: 1 -3 = -2

Slope: -12/-2 = 6

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What is the number 21.0384 rounded to the nearest hundredth?

Anton [14]

Answer:

21.04

Step-by-step explanation:

the 8 is closest to 10 so that would make the 3 a 4.

3 0

2 years ago

What is cos K? I suck at math:(

SVETLANKA909090 [29]

Answer:

cos K = 12/13

Step-by-step explanation:

cos theta = opposite side/ hypotenuse for a right triangle

cos K = 12/13

6 0

3 years ago

Please help and graph it I need this done in 2 minut s pleasee

My name is Ann [436]

Go to a website called desmos it’s a graphing calculator and you just type what you want graphed and it shows it

3 0

3 years ago

1.A cube has side lengths of 15 inches, what is the surface area and volume of the cube? 2. A cube has side lengths of 8 inches,

omeli [17]

Answer:

Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

Step-by-step explanation:

Formula for Volume of a Cube: $V=s^3\\$ (s - side length)

Formula for Surface Area of a Cube: $SA=6s^2$ (s- side length)

The side length's 15 inches.

Find the volume:

$V=15^3\\\rightarrow 15*15*15=3375\\\boxed {V=3375}$

The volume of cube one is 3375in³.

Find the surface area:

$SA=6(15)^2\\\rightarrow 15^2 = 225\\SA = 6 * 225\\\boxed {SA=1350}$

The surface area of cube 1 is 1350in².

The side length's 8 inches.

Find the volume:

$V=8^3\\\rightarrow 8*8*8= 512\\\boxed {V=512}$

The volume of cube two is 512in³.

Find the surface area:

$SA=6(8)^2\\\rightarrow 8^2=64\\SA=6*64\\\boxed {SA=384}$

The surface area of cube 2 is 384in².

<em>Brainilest Appreciated. </em>

3 0

3 years ago

PLEASE HELP ME.<br> THANKS!!!

Veronika [31]

Cos(x) = sin(x + 20o) Use the double cos angle formula

Cos(x) = sin(x)*cos(20) + cos(x)*sin(20) Divide through by cos(x). Tanx = sin(x)/cos(x)

1 = tan(x)*cos(20) + sin(20) Subtract sin(20) from both sides.

1 - sin(20) = tan(x)*cos(20) Calculate the value of 1 - sin(20)

0.65798 = tan(x) * 0.939692 Divide by cos(20)

tan(x) = 0.65795/0.939692

tan(x) = 0.70021 Take the inverse of 0.7) = tan(x)

x = tan-1(0.70021)

x = 35 degrees as expected.

Problem Two

The easiest way to do this is to pick random values and try it. The two acute angles are complementary. So 25 and 65 are random enough.

Let A = 25

Let C = 65

Tan(25) = sin(25)/sin(65) ; tan(25) = 0.4663.

sin(25)/sin(65) = 0.4663 Answer

Sin(90 - C) = Sin(A)

Tan(90 - A) = Tan(C)

So the question becomes Cos(A) = Tan(C) / sin(A)

Cos(25) = Tan(65)/Sin(25)

0.906 = ? 5.07 This statement isn't true.

Sin(65) = Cos(25)/Tan(65)

.906 = 0.4226 C is not the correct answer.

D isn't true. The tan does not relate that away. You can find it for yourself.

Cos(A) = Tan(C) You should get 0.906 = 2.14

Sin(C) = Cos(A) / Tan(A) I'll leave you to show this is wrong.

Problem 3

The diagram below is for this problem. Cos(x) = 50/100 = 0.5

x = cos-1(0.5)

x = 60 degrees.

Part 2

Sin(60) = opposite / hypotenuse

opposite = sin(60) * hypotenuse

opposite = 86.61 Be sure and round this to whatever the question says to round it to.

4 0

3 years ago