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3 years ago

Helpp!!Angles, degrees and, radians

Mathematics

1 answer:

MAXImum [283]3 years ago

8 0

Answer:

co-terminal
reference
90°, 105°
2π, 7π/4

Step-by-step explanation:

For an explanation of vocabulary questions, consult a dictionary or vocabulary list

1) angles ending in the same place are "co-terminal."

2) The acute angle between the terminal ray and the x-axis is the "reference angle."

3) Multiply radians by 180°/π to convert to degrees.

a) π/2 × 180°/π = 180°/2 = 90°

b) 7π/12 × 180°/π = (7/12)(180°) = 105°

4) To convert from degrees to radians, multiply by π/180°.

a) 360° × π/180° = 2π radians

b) 315° × π/180° = 7π/4 radians

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Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

Can someone help me I think I'm doing my math wrong

Julli [10]

Answer:

Ay bruv I need to see the answer choices to help

Step-by-step explanation:

7 0

3 years ago

Replace ? with =, >, or < to make the statement true. 12 ÷ 4 + 13 ? 2 + 22 ÷ 2

bogdanovich [222]

Answer:

Step-by-step explanation:

On the left side, we divide first: 12/4=3

On the left side, we get 3+13, which equals 16.

On the right side, we also divide first: 22/2=11

On the right side, we get 11+2, which equals 13.

We know that 16 is larger than 13, so

12 ÷ 4 + 13 > 2 + 22 ÷ 2

Hope this helps!

8 0

3 years ago

A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measurin

Ratling [72]

Answer:

The standard deviation of weight for this species of cockroaches is 4.62.

Step-by-step explanation:

Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

To find : What is the approximate standard deviation of weight for this species of cockroaches?

Solution :

We have given,

Mean $\mu=50$