Convert Standard Form to Factored Form (SHOW
ALL WORK) (LT 5.6)
j(x)=x²+7X-18

Answer:

[tex]\displaystyle \sin(A+B)=\frac{3008}{3233}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(A)=\frac{60}{61}\text{ and } \tan(B)=\frac{45}{28}[/tex]

And that the two angles A and B are both in QI (positive acute angles).

Given this, we want to determine the value of sin(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to A:

[tex]\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11[/tex]

Likewise, for B, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of B:

[tex]h=\sqrt{45^2+28^2}=\sqrt{2809}=53[/tex]

In conclusion:

With respect to A, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.

With respect to B, the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.

We can rewrite our original expression as:

[tex]\sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A)[/tex]

And since A and B are both in QI, all trigonometric ratios will be positive.

Using the above conclusions, substitute:

[tex]\displaystyle \sin(A+B)=\left(\frac{11}{61}\right)\left(\frac{28}{53}\right)+\left(\frac{45}{53}\right)\left(\frac{60}{61}\right)[/tex]

Simplify. Hence:

[tex]\displaystyle \sin(A+B)=\frac{308+2700}{3233} = \frac{3008}{3233}[/tex]

Answer:

4 tons is greater

1/2 is greater

Because one ton is equal to 1,000 pounds

Answer:

picture?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

There are 6 lines of symmetry.

Answer:

Negative

Step-by-step explanation:

A negative times a negative equals positive

A positive times a negative equals a negative

A positive times a positive equals a positive

Answer:

The probability of pulling out a blue marble is 33.3%.

Step-by-step explanation:

Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:

28 - 1 = 27

9/27 = X

0.333 = X

0.333 = 33.3%

Therefore, the probability of pulling out a blue marble is 33.3%.

Answer: 97

Step-by-step explanation:

2 and 3 form a supplementary angel, so the sum of the angles should equal 180

Answer:

8.643, 8.639

Step-by-step explanation:

Step-by-step explanation:

What is the number 8.64 rounded to the nearest tenth? -

What is 2.098 rounded to two decimal places? ... You could also use round-to-odd, which is like round-to-even in its ability to remove bias, ...

Answer:

12

Step-by-step explanation:

Answer:

Jax 4,8,12,16,20

And the last box is 60

Step-by-step explanation:

Answer:

remember

1h=60min

1min=60 sec

now come to the question

1h=60min

1min=60 sec

60min=60×60=3600sec in 1hour

25min=60×25=1500sec in 25 min

total all sec=3600+1500+29=5129sec

Step-by-step explanation:

Answer:

5129

Step-by-step explanation:

So first we know we have 29 seconds then we know there is 60 seconds in a minute so I'm going to take 60 times 25 which equals 1500 so right now I have 1529 seconds I also know that there is 60 minutes in 1 hour so I'm going to do 60 times 60 which is 3600 so now I'm going to add all my seconds together 1500 + 3600 = 5100

Answer:

c -1 and 2

Step-by-step explanation:

can i have BRAINLIEST?

Answer:

x = 1/2

y = -1/3

Step-by-step explanation:

10x - 9y = 8    (Multiply by 3)

15x + 21y = 0.5 (Multiply by -2)

30x - 27y = 24

-30x - 42y = -1

-69y = 23

y = -1/3

10x - 9y = 8

10x - 9(-1/3) = 8

10x + 3 = 8

10x = 5

x = 1/2

Answer:

3x+9 < - 42

Step-by-step explanation:

A. [tex]3x-2x+0.5x=1.5x[/tex], so the expressions are equivalent.

B. [tex]3(x+4)-2(x+4)=x+4[/tex], so the expressions are not equivalent. To make the expressions equivalent, add 1 to expression B.

C. [tex]6(x+4)-2(x+5)=6x+24-2x-10=4x+14=2(2x+7)[/tex], so the expressions are equivalent.

D. [tex]3(x+4)-2(x+4)+0.5(x+4)=1.5(x+4)[/tex], so the expressions are not equivalent. To make the expressions equivalent, multiply expression B by (x+4).

Answer:

Its A

Step-by-step explanation:

Answer:

1. A. 66 cubic inches.

2. A. 151,410,000

Step-by-step explanation:

For number one: Multiply 3 x 4 and that will give you 12 then multiply that by 11 and that will also give you 132. Lastly, divide 132 by 2 and it will get you 66 cubic inches.

For Number two: Multiply 420 by 721,000 and that will give you 302,820,000.

Once you have that, divide it by 2 and will give you 151,410,000.

Answer:

im conufesed

Step-by-step explanation:

Answer:

18 kids own their own instruments

72 kids rent instruments

80%rent 20%own

Step-by-step explanation:

Answer:

Perimeter = 4(√2 + √5) units

Step-by-step explanation:

Given:

Quadrant of 4 points;

A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Find:

Perimeter

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(3 - 1)² + (5 - 3)²

Distance between AB = √4 + 4

Distance between AB = 2√2 units

Distance between BC = √(1 - 3)² + (3 + 1)²

Distance between BC = √4 + 16

Distance between BC = 2√5 units

Distance between CD = √(3 - 5)² + (-1 - 3)²

Distance between CD = √4 + 16

Distance between CD = 2√5 units

Distance between DA = √(5 - 3)² + (3 - 5)²

Distance between DA = √4 + 4

Distance between DA = 2√2 units

Perimeter = sum of all sides

Perimeter = 2√2 + 2√5 + 2√2 + 2√5

Perimeter = 4√2 + 4√5

Perimeter = 4(√2 + √5) units

Answer:

30 units^2

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Multiply length times width

Each side is 6 units. That would be your length

And both the top and bottom are 5 units each. This would be your width.

5 times 6= 30

Answer:

Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?

Answer:

A

Step-by-step explanation:

Answer:

QUESTION:

which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?

ANSWER:

This will explain everything to you.

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/comparing-theoretical-to-experimental-probabilites

Step-by-step explanation:

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Answer:

divergent

Step-by-step explanation:

just took it

In a 30-60-90 triangle the hypotenuse is 2 times the shortest leg.

In the problem, they multiplied the shortest leg by sqrt(3)

Hypotenuse = shortest leg x 2

Hypotenuse = 7 x 2 = 14 units

Answer:

Right

Step-by-step explanation:

Answer: Two equilateral triangles are always similar.

Step-by-step explanation:

Answer:

60.5

Step-by-step explanation:

Ehhh 52.07+8.43=60.5?