Simplify each expression

Answer: option D. B = 59.6° or B' = 120.4°

Step-by-step explanation:

Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by

10/sin(B)=......

and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.

(why the closed? because the question said it is "approximated")

The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

Triangle is a three sides two dimensional surface having three angles.

We have,

A triangle in which,

One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.

And the side opposite to angle B is 10.

Now,

Using the law of sine,

i.e.

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]

So,

According to the given triangle,

We get,

[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]

We get,

[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]

On solving we get,

⇒

[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]

i.e.

[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]

So,

The option C is the correct answer.

Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

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Answer:

Y = 10

Explanation:

We know that the left and top angles are 45°, the base is 10, and the bottom right angle is 90°, or a right angle. The simplest way I can explain this is the bottom side of the triangle is the same as the right side of the triangle. Meaning "y" would be 10 like the bottom.

If I'm right, I'd appreciate a brainliest as it'd really help me out :D

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i took k12 test

Answer:

(0.1753 ; 0.2447)

Step-by-step explanation:

Using the relation :

Confidence interval :

p ± margin of error

p = 0.21

1 - p = 0.79

n = 530

Zcritical at 95% confidence level = 1.96

Margin of Error : Zcritical * sqrt[(p(1-p))/n]

1.96 * sqrt[(0.21(0.79))/530]

1.96 * 0.0176923 = 0.0346769

Margin of Error = 0.0346769

Lower boundary = 0.21 - 0.0347 = 0.1753

Upper boundary = 0.21 + 0.0347 = 0.2447

Confidence interval :

(0.1753 ; 0.2447)

I believe it is exponential growth

Answer: decay

Step-by-step explanation:

Answer:

#1

#2

#3

Answer:

I think its $8,480 if not I'm sorry

Answer:

8483.60 I had this question too and decided to help you.

Answer:

Rate of change = -1

Step-by-step explanation:

Given:

f(x) = -½(x + 2)² + 5

Required:

Average rate of change from x = -3 to x = 1

Solution:

Rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

a = -3,

f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5

b = 1,

f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5

Plug in the values into the formula:

Rate of change = [tex] \frac{0.5 - 4.5}{1 - (-3)} [/tex]

Rate of change = [tex] \frac{-4}{4} [/tex]

Rate of change = -1

Answer:

7 =121 and t underscore 15 =193

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = 6 ÷ - 2 = - 18 ÷ 6 = 54 ÷ - 18 = - 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = - 3 , then

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

Answer

32

Step-by-step explanation:

fffff

Answer:

5+2(6)

5+12 = 17

Step-by-step explanation:

Hope this is what you were talking about.

Answer:

31

Step-by-step explanation:

if sin(x) = cos(y)

then x + y = 90

.

in this case X + 59 = 90 : X = 31

Answer:

9.2

Step-by-step explanation:

hope it helps

Answer:

A

Step-by-step explanation:

Answer:

I think the Las t answer

Step-by-step explanation:

prime minister and members of the legislature

Answer:

Prime ministierer only :P

Answer:

Certain

Step-by-step explanation:

The answer is certain because all the numbers on a cube are less than 7. So it's impossible to get a number more than 7, or equal to 7.

Answer:

area = 277 units²

Step-by-step explanation:

area = (25 x 5) + (8 x 13) + (8 x 6) = 277 units²

Answer: EAD

Explanation: The angle mark is in between the points E, A, and D.

Answer:

x = 135

Step-by-step explanation:

x = 9x15

= 135

x = 135

Answer:

t < 5

Step-by-step explanation:

47 > 6t + 17

30 > 6t

5 > t

t < 5

Answer:

142 degrees

Step-by-step explanation:

Answer:

ΔLKM   yes

ΔJLM    yes

ΔKML   no

Answer:

The first one, the triangle

Step-by-step explanation:

It has three sides, and if you were to replicate the object in 3D it would have 5 vertices.

answer: 1.75

say you have 1 dollar and 3 quarters, this would give you $1 dollar and 75 cents =1.75

Answer:

For number one it would be a closed circle poiting to the left because it is a negative number and it is not equal to or less than anything.

For number 2 a possible solution will be 2^2-2 which would equal 2 because 2^2=4 then 4-2=2

I hope this helps you!!

Answer: 49

Step-by-step explanation: A coefficient is the number placed in front of the variable, meaning n is the unknown number, aka variable. Making 49 the coefficient to that variable.

Hope this helps ^^

Answer:

49

Step-by-step explanation:

A coefficient is the numerical or constant quantity placed before or multiplied by a variable.

Answer:

15 pounds

Step-by-step explanation:

Given  data

Initial weight= 12 pounds

percent increase in weight = 25%

Let us find the increment

=25/100*12

=0.25*12

=3 pounds

Hence the weight in pounds of jacks puppy is

=3+12

=15 pounds