MATHEMATICS HIGH SCHOOL

Which angle measure less than or equal to 360° is equivalent to an angle of 17pi/4

Answers

Answer 1

Answer:

Answer:

Therefore, The required measure of the angle is 45°

Step-by-step explanation:

$\text{The angle is given to be : }(17\pi)/(4)$

Now, the value of angle π is equivalent to 180°

So, finding the value of the given angle in degrees

$\implies\text{The degree measure of the given angle = }(17)/(4)* 180=765$

Now, the angle is 765°

We need to find the angle which measures less than or equal to 360° and is equivalent to 765°

765 = 360 × 2 + 45°

So, 360° angle is 45° less than the given angle.

Therefore, The required measure of the angle is 45°

Answer 2

Answer:

The correct answer is

45 degrees

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What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?Factor 6 out of each term.
Factor 6 out of the first two terms.
Write the function in standard form.
Write the trinomial as a binomial squared

Answers

f(x) = 6x² + 5 - 42x

first step in writing the f(x) in vertex form? WRITE THE FUNCTION IN STANDARD FORM.

f(x) = 6x² - 42x + 5

Exponents must be in decreasing order.

Answer:

Option 3rd is correct

Write the function in standard form.

Step-by-step explanation:

The standard form of the quadratic equation is given by:

$y=Ax^2+Bx+C$

As per the statement:

Given the function:

$f(x) = 6x^2+5-42x$

We have to find the first step writing f(x) vertex form.

Firstly, write the given function in standard form

by definition we have;

$f(x) = 6x^2-42x+5$

Therefore, the first step writing f(x) vertex form is, Write the function in standard form.

Write an equation of the line below.

Answers

Answer:

y=1x+2

Step-by-step explanation:

the gradient is equal to 1 and the c in the question is 2 because the y-intercept represents c.

Gradient= (y2-y1)/(x2-x1)

Suppose you just received a shipment of twelve televisions. Three of them are defective. Assuming that two televisions are randomly selected, find the following probabilities:What is the probability that both televisons work?
What is the probability that at least one does not work?

Answers

The probability that both televisons work is 18/33.
The probability that at least one does not work is 15/33.

Let x = number of shipments, x = 12
P(defective) = 3/12
P(working) = 9/12
The probability that two randomly selected televisions are both working is:
9/12 * 8/11 = 72 / 132 or 18/33
P(2 working) = 18/33
8/11 is used for the second selection since the number of televisions has been reduced due to the first selection.

The probability of 1 not working among the two can be solved through"
P(at least one defective among the 2) = 1 - P(2 working)
P(at least one defective among the 2) = 15/ 33

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Answer:

Step-by-step explanation:

What are the solutions of the equation below
(x-2)(x+9)=0

Answers

Answer: {2, -9}

Step-by-step explanation: Think of these two binomials, x -2 and x + 9,

as two numbers that are multiplying together to equal zero.

In order for two numbers to multiply together to equal zero,

either one number or the other number must equal zero.

So for two binomials to multiply together to equal zero,

either one binomial or the other binomial must equal zero.

So we can split this problem up into two parts.

If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.

On the left, add 2 to both sides and we have x = 2.

On the right, subtract 9 from both sides and we have x = -9.

For our final answer we use set notation.

So our answer is {2, -9}.

Answer:

2 and -9

Step-by-step explanation:

x-2=0

x=2

x+9=0

x=-9

Mandy and Jordan each bought some of the same notebooks and the same three-ring binder. Mandy paid $5.85 for 3 notebooks and 1 binder. Jordan paid $4.65 for2 notebooks and 1 binder. What is the price of one ofthe notebooks?

Answers

Answer:

$1.20

Step-by-step explanation:

Mandy and Jordan each bought some of the same notebooks and the same three-ring binder.

Mandy paid for 3 notebooks and 1 binder = $5.85

Jordan paid for 2 notebooks and 1 binder = $4.65

Mandy paid more money for extra one notebook = 5.85 - 4.65

= $1.20

Therefore, the price of one notebook is $1.20.

1 notebook costs $3.45

let's turn this into 2 equations, n being notebook price, and b being binder price ->

mandy -> 3n + b = 5.85
jordan -> 2n + b = 4.65

we need to take one equation, simplify for b, and plug it into the other equation, let's take jordan's equation for this ->

b = 4.65 - 2n

plug it into mandy's equation

3n + (4.65 - 2n) = 5.85

simpify until you get n = 1.20
take this and plug it back into jordan's equation ->

2(1.20) + b = 4.65
simplify until you get b = 2.25
plus this value into mnady's equation ->

3n + (2.25) = 5.85
simplify until you get that n = 2.25

Enter the plan width for the rectangular room. Round your answer to the nearest tenth.plan length:
4 in.
actual width:
18 ft
actual length: 16 ft

The plan width is
in.