MATHEMATICS HIGH SCHOOL

5 is a _______ number.
prime
composite

Answers

Answer 1

Answer: prime number
It can only divide by the number itself and 1.

Answer 2

Answer:

Answer:

prime

Step-by-step explanation:

Its only factors are 5 and 1.

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D = -38t + 220Rachel is driving a race car at a constant speed on a closed course. The formula shown above describes the remaining distance, D, measured in meters, that Rachel has to travel after t seconds. What is Rachel's speed in meters per second?

Answers

Rachel's speed is 38 m/s.

What is Equation?

Equations are mathematical statements with twoalgebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

D = -38t + 220

So, t = 1

D = -38t + 220

D = -38(1) + 220

D = -38+ 200

D = 182 m

So, v = $(D_0 - D_1)$ / t

v = ( 220- 182) /1

v = 38 m/s

Hence, Rachel's speed is 38 m/s.

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Answer: 38 meters per second

Step-by-step explanation:

124 ÷ 7283 i need help understanding it

Answers

Answer:

0.01702595084 or 0.⁻0⁻ (line is above the second zero)

Step-by-step explanation:

it is not a full number and its rational

In right triangle ABC with the right angle at C, sin A= 2x + .1 and cos B = 4x - .7. Determine and state the vaule of x.

Answers

Imagine $\angle A$ at the top of the triangle and $\angle B$ at the bottom. (or used the attached picture for reference)

$\sin A= (opposite)/(hypotenuse)$

$\cos B = (adjacent)/(hypotenuse)$

One thing to note, however, is that the side opposite $\angle A$ is the same side as the one adjacent to $\angle B$ ! Thus $\sin A=\cos B$ .

Substitute these values for $2x+0.1$ and $4x-0.7$ and solve.

$4x-0.7=2x+0.1 \n 4x=2x+0.8 \n 2x=0.8\n \boxed{x=0.4}$

Solve the equation 7-y-y=-1

Answers

$7-y-y=-1\n\n7-2y=-1\ \ \ \ |subtract\ 7\ from\ both\ sides\n\n-2y=-8\ \ \ \ \ |divide\ both\ sides\ by\ (-2)\n\n\boxed{y=4}$

Y is equal to 4

7-4-4 = -1

Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame? (answer should be a number only)

Answers

Given:

Area of a square frame = 81 square inches.

To find:

Perimeter of the frame.

Solution:

Let length of each side of the frame = a inches.

Area of square frame is

$Area=a^2$

$81=a^2$

Taking square root on both sides,

$\pm√(81)=a$

$\pm 9=a$

Side length cannot be negative. So, a=9 inches.

Perimeter of frame is

$Perimeter=4a$

$Perimeter=4(9)$

$Perimeter=36$

Therefore, the perimeter is 36 inches.

Final answer:

The perimeter of the frame is 36 inches.

Explanation:

To find the perimeter of a square, we need to know the length of its sides. Since the area of the frame is given as 81 square inches, we can find the length of one side by taking the square root of the area. The square root of 81 is 9, so each side of the frame measures 9 inches.

Since a square has four equal sides, we can find the perimeter by multiplying the length of one side by 4. Therefore, the perimeter of the frame is 9 inches x 4 = 36 inches.

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A line has a rise of 6 and a slope of 1/20. What is the run?

Answers

The slope of a line is a number that represents thedirection and the steepness of the line. Or it is commonly defined as the riseover the run. It is denoted by the letter m. Let’s say that y is the rise and xis the run. A line may be increasing or decreasing just by knowing the slope. Ifthe slope is a negative number, the line is decreasing, and if it is a positivenumber, the line is increasing. Here you have a slope of 1/20 and a rise of 6. Them is equal to 1/20 and y equals 6. So

m = y/x
1/20 = 6 /x
x = 6/(1/20)
x = 120

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