MATHEMATICS HIGH SCHOOL

Help me on this math pls!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer 1

Answer: 69 degrees. because they are vertically opposite angles

Answer 2

Answer:

Answer: 69 degrees

Step-by-step explanation:

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Solve for x: 2x^2+4x-16+=0

Answers

$2x^2+4x-16=0\ /:2\n \nx^2+2x-8=0\n \nx^2-2x+4x-8=0\n \nx(x-2)+4(x-2)=0\n \n(x-2)(x+4)=0\ \ \ \Leftrightarrow\ \ \ x-2=0\ \ \ \vee\ \ \ x+4=0\n \n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-4$

$2x^2+4x-16=0|:2\n x^2+2x-8=0\n \Delta=36\Rightarrow√(\Delta)=6\n x_1=(-b+√(\Delta))/(2a)\ \vee\ x_=(-b-√(\Delta))/(2a)\n x_1=2\ \vee\ x_2=-4$

a train can travel 1230 miles in 5 hours. what is the unit rate that this train is traveling per hour? _____ miles per hour.

Answers

unit rate = 1230 miles / 5 hours = 246 miles per hour.

Find the solution set. 9x^2+3x-2=0 separate the two values with with a comma.

Answers

Answer:

x = -2/3, 1/3

Step-by-step explanation:

Step 1: Factor

(3x + 2)(3x - 1) = 0

Step 2: Find roots

3x + 2 = 0

3x = -2

x = -2/3

3x - 1 = 0

3x = 1

x = 1/3

Answer:

Step-by-step explanation:

factor ; (3x-1)(3x+2)=0

then make both 3x-1 and 3x+2 equal to 0

(3x-1)=0 solve 3x+2=0

+ 1 +1 -2 -2

_______ _______

3x = 1 3x = -2

x =1/3 x= -2/3

check for to make sure both solutions work by plugging back into the equation

What steps should be taken to calculate the volume of the right triangular prism? Select three options

Answers

Answer:

1st, 4th and 5th options are correct.

Step-by-step explanation:

Please find the attachment.

We are asked to choose three steps to calculate the volume of the given right triangular prism.

We know that base of triangular prism is triangle. The volume of triangular prism is area of base times height of the prism.

Let us find area of triangular base using area of triangle formula.

$A=(1)/(2)bh$ , where,

b = Base length,

h = Height of triangular base.

Therefore, 1st option is correct.

Upon substituting the base length (8 m) and height (14 m), we will get:

$A=(1)/(2)(\text{8 m}* \text{14 m})$

$A=\text{4 m}* \text{14 m}$

$A=56\text{ m}^2$

Therefore, 4th option is correct.

The volume of the prism would be area of base times height of prism (7 m) as:

$\text{Volume of the prism}=(56\text{ m}^2)* 7\text{ m}$

$\text{Volume of the prism}=392\text{ m}^3$

Therefore, 5th option is correct as well.

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume

Determine which proportion is a true statement

Answers

B is the correct answer.

To find the answer, cross multiply and the left side should equal the right side if it is a true statement.
Letter B is the correct answer because when you cross multiply you get 165=165

There are only blue yellow and green cubes is a bag. There are three times as many blue cubes as yellow cubes. There are five times as many green cubes as blue cubes. I take out a random cube from the bag, what is the probability that I take out a yellow cube?

Answers

Let the number of yellow cubes be x

Yellow Cubes = x

Blue Cubes = 3x

Green = 5 (3x) = 15x

Ratio : Yellow : Blue : Green = 1 : 3 : 15

P(Yellow) = 1/19

Answer: 1/19

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