4. Given a = 10.2, A = 122 degrees, and b = 6.8, use the Law of Sines to solve for B. Round your answer to the nearest degree.

5. Given a = 15, A = 36 degrees, and B = 70. use the Law of Sines to solve for b. Round your answer to the nearest whole number.

6. Given a = 9, b = 4, and c = 7, use the Law of Cosines to solve for A. Round your answer to the nearest degree.

======================================================

Explanation:

Convert the x = 82 to a corresponding z score.

z = (x-mu)/sigma

z = (82 - 89)/7

z = -7/7

z = -1

Using the empirical rule (see chart below), roughly 68% of the distribution is within 1 standard deviation of the mean.

This leaves 1 - 0.68 = 0.32 = 32% of the distribution in both tails, and (32%)/2 = 16% of the area is in one tail, which converts to 0.16

About 16% of the normally distributed population is below z = -1.

So we can say [tex]P(x \le 82) = P(z \le -1) \approx 0.16[/tex]

z value:-

[tex]\\ \rm\Rrightarrow \dfrac{x-\overline{x}}{\sum}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{82-89}{7}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-7}{7}[/tex]

[tex]\\ \rm\Rrightarrow -1[/tex]

As per z value chart

Option C is correct

Answer:

C.

Step-by-step explanation:

If you graph it, you can see that the lines are parallel.

Answer:

d. {(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)}; Domain: {-2, -1, 0, 1, 2}; Range: {1, 2, 5}

Step-by-step explanation:

Part A:

Domain = the set of all x-values plotted on the x-axis = {-2, -1, 0, 1, 2}

Range = the set of all possible y-values on the y-axis that corresponds with the x-values = {1, 2, 5}

Part B:

The set of coordinates that describes the function on the graph are:

When x = -2, y = 5 => (-2, 5)

When x = -1, y = 2 => (-1, 2)

When x = 0, y = 1 => (0, 1)

When x = 1, y = 2 => (1, 2)

When x = 2, y = 5 => (2, 5)

The set of coordinates is:

{(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)}

Answer:

To make total 8.25 we need to take number of oranges in such a way that they always make . 25 in total. Only then we can get 8.25 as total because cookies will always give integers.

Step-by-step explanation:

Answer:

First piece = 30m , 2nd is 120 m and third piece is 240 m long.

Step-by-step explanation:

Let the length of the first piece be x m.

Then the length of the second piece = 4x m.

The third piece = 2 * 4x = 8x m.

So x + 4x + 8x = 390

13x = 390

x = 30 m

So 2nd piece = 4*30 and third is 8*30  m.

Answer:

C

Step-by-step explanation:

right angled triangle because it has clearly shown the sign of 90 degree

Answer:

Step-by-step explanation:

1). [tex]-\frac{5}{12}[/tex] x = 0 ⇒ x = 0

2). 5,4 ( x + 6,3 ) = 0 ⇒ x + 6,3 = 0 ⇒ x = - 6,3

3). ( x - 3 )( x + 4 ) = 0 ⇒ x - 3 = 0 или x + 4 = 0 ⇒ x = 3 или x = - 4

4). 23,5 | x | = 0 ⇒ | x | = 0 ⇒ x = 0

Answer:

a n= - 3a_{n-1}a n−1 with a₁ = - 0.3

Step-by-step explanation:

The recursive formula for a geometric sequence is of the form

a_{n}a

n = ra_{n-1}a

n−1

where r is the common ratio

r = \frac{a_{2} }{a_{1} }

a

1

a

2

= \frac{0.9}{-0.3}

−0.3

0.9

= - 3 , thus

a_{n}a

n

= - 3a_{n-1}a

n−1

with a₁ = - 0.3

Answer:

1:3

1:2

Step-by-step explanation:

hope this helps

Answer:

$0.41 per apple.

Step-by-step explanation:

A dozen apples stand for 12. If we want to find the rate, we must divide.

$4.92 ÷ 12 = 0.41.

The rate for a dozen apples that cost $4.92 is $0.41 per apple.

Answer:

$0.41 per apple

Answer: 5x+7y=500

Step-by-step explanation:

Answer:

slope=2 y-intercept=4

Answer:

A. (−2c − 3d)(−11)

C. [tex](66c+99d)*\frac{1}{3}[/tex]

E. 11(2c + 3d)

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[A]  (−2c − 3d)(−11)

[C] (66c+99d)*1/3

[E] 11(2c + 3d)

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Step-by-step explanation:

To find the answer - Solve each answer choice:

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[A] (-2c-3d)(-11)

Re-order terms so constants are on the left

-11(-2c-3d)

Distribute

22c + 33d

Hence, [A] is True.

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[B] [tex]2(11c-[/tex] [tex]\frac{33}{2}d)[/tex]

Combine multiplied terms into a single fraction

Find common denominator

[tex]2(\frac{2*11c}{2}+\frac{-33d}{2})[/tex]

Multiply the numbers

[tex]2(\frac{22c-33d}{2})[/tex]

Cancel multiplied terms that are in the denominator

22c - 33d

Hence, [B] is false

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[C] [tex](66c+99d)*\frac{1}{3}[/tex]

[tex]Apply\;Rule:a*1=a[/tex]

[tex]\frac{66c+99d}{3}[/tex]

[tex]Factor\;66c+99d:33(2c+3d)[/tex]

[tex]=\frac{33\left(2c+3d\right)}{3}[/tex]

[tex]Divide\;the\;numbers:\frac{33}{3}=11[/tex]

[tex]=11(2c+3d)[/tex]

[tex]Expand;[/tex]

22c+33d

Hence, [c] is True

  ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[D] -1*(-22-33d)

[tex]Apply \;rule:a*1=a[/tex]

= (22+33d)

Hence, [D] is False

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[E] 11 * (2c+3d)

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]11\left(2c+3d\right)=11\cdot \:2c+11\cdot \:3d[/tex]

[tex]=11\cdot \:2c+11\cdot \:3d[/tex]

[tex]Simplify \;=11\cdot \:2c+11\cdot \:3d:22c+33d[/tex]

22c + 33d

Hence, [E] is True

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

~[RevyBreeze]

Hello!

This is an equilateral triangle. In this triangle, the angles are congruent, respectively, the sides. Here, the mediator corresponds to the bisector, the median. So this line will form two  right triangles.

Th 30-60-90

I used the 30-60-90 theorem, which says that the opposing the angle of 30 degrees has the length equal to half the hypotenuse.

Th Pitagora's

Which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

Good luck:)

Answer:

3

Step-by-step explanation:

with the information given in the question the only answer I can provide is that each diver requires a tank. does the tank have a certain capacity and so on?

Answer:

yes oo that's what I'm thinking

Answer:

Step-by-step explanation:

The answer is C.

Almonds

Pecans

The others have missing combinations.

Answer:

I can not see the whole picture, otherwise I could maybe help you.

Answer:

y-5 = 3/4(x-6)

Step-by-step explanation:

point slope formula is y - y₁ = m(x - x₁) where m=slope and (x₁ ,y₁) is a point on the line.

First find the slope.  From the graph we have pts A and B.

A= (-2,-1) and B is (6,5)

m= y-y₁/x-x₁  m= (5-(-1)/(6-(-2))

m= 6/8 = 3/4

Using point B for x₁ and y₁

y-5 = 3/4(x-6)

Answer:

Mia takes longer

Step-by-step explanation:

We can do this easily by doing 3 / 5 which is 0.6 for Sam and for Mia 2/3 is 0.666 repeating. 0.666 repeating is greater than 0.6

Answer:

Count the cubes, this shape is 7 cm cubed. Each cube is 1 cubic unit.

Answer:

what r u taking tell it in a detail what is you question

Step-by-step explanation:

Answer:

1,3,4,5

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

the answer is in the picture

Answer: 25

spongbob said so

Answer:

8.75×4=$35.00

Step-by-step explanation:

sally=1 person so...

1+3=4

$35.00÷4=8.75

8.75×4=$35.00

Answer:

c=px8

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Check the picture below.