Indicate which formula you would use to solve for the missing side B and then write your answer correct to two decimal places.Write only the formula down.. Single line text.

Indicate Which Formula You Would Use To Solve For The Missing Side B And Then Write Your Answer Correct

Answers

Answer 1

Answer:

44.04°

Step-by-step explanation:

We would use the Law of Sines, [tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} =\frac{sin(C)}{c} [/tex]

Applying the formula, let's find b°:

Thus:

[tex] \frac{sin(b)}{3.6} = \frac{sin(100)}{5.1} [/tex]

Cross multiply

[tex] sin(b)*5.1 = sin(100)*3.6 [/tex]

Divide both sides by 5.1

[tex] sin(b) = \frac{sin(100)*3.6}{5.1} [/tex]

[tex] sin(b) = 0.69516 [/tex]

[tex] b = sin^{-1}(0.69516) [/tex]

b = 44.0399685° ≈ 44.04° (2 decimal places)


Related Questions

If y varies inversely as x and x=4 when y=16 find x when y=9

Answers

Answer:

x=3

Step-by-step explanation:

x^2=y

MAJOR HELP PLSSS!!!!!
Young company expects to double their profits every year for the next 10 years. If their profits were $5000 this year, which expression represents the profits after 10 years

A.5,000x2x10

B.5,000x2^10

C.5,000^2x10

D.5,000^10

Answers

Answer:

Suppose profits were $1

At 1 yr profit = 2    (2)^1

    2 yr         = 4     (2)^2

    3 yr         = 8      (2)^3

    10 yr        = 1024    (2)^10

So the correct answer should be  5000 * (2)^10

A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.

Answers

Answer:

a=41.2

Step-by-step explanation:

a^2 + (30)^2. =51^2

a^2+900=2601

-900. -900

a^2= +\- square root 1701

a=41.243181

a=41.2

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator

0.30 cm to 0.42 cm​

Answers

Answer:

[tex]\dfrac{5}{7}[/tex]

Step-by-step explanation:

Given numbers are :

0.30 cm and 0.42 cm

We need to find the ratio of the above whole numbers.

Taking 0.3 cm on the numerator and 0.42 cm on the denominator. So,

[tex]\dfrac{0.3}{0.42}=\dfrac{\dfrac{3}{10}}{\dfrac{42}{100}}\\\\=\dfrac{3}{10}\times \dfrac{100}{42}\\\\=\dfrac{10\times 3}{42}\\\\=\dfrac{10}{14}\\\\=\dfrac{5}{7}[/tex]

So, the required fraction is equal to [tex]\dfrac{5}{7}[/tex].

Look at the pattern shown below.

2, 4, 16, 256 ...

What is f(n+ 1) in terms of f(n), where n represents the position of a term in this pattern?

A. (F(n))^2

B. 2(f(n))

C. (F(n)-1)^2

D. 2(f(n)-1)

Answers

Answer: (a)

Step-by-step explanation:

Given

The pattern is 2, 4, 16, 256...

From the pattern, we can see that the next term is square of the previous i.e.

[tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex][tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex]

So, for the [tex]n^{th}[/tex] term, the function is [tex]f(n)[/tex]

For the next term, it is [tex]f(n+1)[/tex]

So,

[tex]\Rightarrow f(n+1)=[f(n)]^2[/tex]

What is the probability of picking any color balloon except for red at random to the nearest hundredth? A) 0.81 B) 0.82 0 0.83 D) 0.84​

Answers

Answer:

below

Step-by-step explanation:

first count them up

17

divide it by 16 its d

The probability of picking any color balloon except for red at random is 82%.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

Red balloon = 3

Blue balloon = 2

Pink balloon = 2

Green balloon = 2

Orange balloon = 2

light Blue = 1

Yellow balloon = 2

Purple balloon = 2

So, the probability of picking any color balloon except for red at random

= 13/ 16 x 100

= 81.25 %

Thus, the required percentage is 82%.

Learn more about Probability here:

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Question: Explain the Difference between an equation and an expression

Answers

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

Can any body help me and no links

Answers

Answer:

C

Step-by-step explanation:

7.67 is greater than 7.66666...

Find the axis of symmetry and the vertex for the following quadratic equation.
y=x^2-8x + 15

Answers

Answer:

pill

Step-by-step explanation:

Most water-treatment facilities monitor the quality of their drinking water on an hourly basis. One variable monitored is pH, which measures the degree of alkalinity of acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH is 7.0 is neutral. One water-treatment plant has a target pH of 8.5. The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively. (a) Set up the null and alternative hypotheses to test whether the mean pH value mu of the water from the plant differs from 8.5. (b) What test statistic should be used based on the available sample information

Answers

Answer:

a) The null hypothesis is [tex]H_{0}: \mu = 8.5[/tex] and the alternate hypothesis is [tex]H_{a}: \mu \neq 8.5[/tex]

b) A test statistic of -2.06 should be used.

Step-by-step explanation:

Question a:

One water-treatment plant has a target pH of 8.5.

At the null hypothesis, we test if the mean is close to the target. So, the null hypothesis is:

[tex]H_{0}: \mu = 8.5[/tex]

At the alternate hypothesis, we test if it differs from 8.5, so the alternate hypothesis is:

[tex]H_{a}: \mu \neq 8.5[/tex]

Question b:

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

8.5 is tested at the null hypothesis:

This means that [tex]\mu = 8.5[/tex]

The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively.

This means that [tex]n = 17, X = 8.42, \sigma = 0.16[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{8.42 - 8.5}{\frac{0.16}{\sqrt{17}}}[/tex]

[tex]z = -2.06[/tex]

A test statistic of -2.06 should be used.

a certain colony of bacteria begin with one cell and the population doubles every 20 minutes. What was the population of The Colony after 2 hours?

a. 6
b. 12
c. 32
d. 64​

Answers

The population of The Colony after 2 hours is d. 64​

How to determine the population?

The given parameters are:

Initial, a = 1

Rate, b = 2 every 20 minutes

An exponential function is represented as:

y = ab^x

So, we have:

y = 1 * 2^x

y = 2^x

There are six 20 minutes in 2 hours.

This means that:

x = 6

So, we have:

y = 2^6

Evaluate

y = 64

Hence, the population of The Colony after 2 hours is d. 64​

Read more about exponential functions at

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Geometry Question! WORTH 20 POINTS

Answers

Answer:

x = 65

Explanation:

A whole circle equals 360*

half of that is 180*

180 - 115 = 65

help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)

Answers

Answer:

9

Step-by-step explanation:

We're using the Pythagorean theorem here since it's a right triangle.

a^2 (side) + b^2 (side) = c^2 (hypotenuse)

12 = a

x = b

15 = c

12^2 + b^2 = 15^2

144 + b^2 = 225

- 144             - 144 (subtracting 144 from both sides to isolate b)

b^2 = 81

[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)

b = 9

x = 9

The parallelogram pictured below has a perimeter of 129. Find the value of y.

Answers

Answer:

y = 2.5

Step-by-step explanation:

2(17y + 6) + 2(10y - 9) = 129

34y + 12 + 20y - 18 = 129

54y - 6 = 129

54y = 135

y = 2.5

Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills

Answers

Answer:

[tex]Change = \$8[/tex]

Step-by-step explanation:

Given

[tex]Bills = $20\ bills[/tex] (4)

[tex]Shirt = \$42[/tex]

[tex]Sweater= \$30[/tex]

Required

The change

First, we determine the amount paid,

To do this, multiply the number of bills by the worth of each bill.

So, we have:

[tex]Amount = 4 * \$20[/tex]

[tex]Amount = \$80[/tex]

Next, calculate the worth if item bought

[tex]Items = \$42 + \$30[/tex]

[tex]Items = \$72[/tex]

Subtract the items from the amount to get the change.

[tex]Change = \$80 - \$72[/tex]

[tex]Change = \$8[/tex]

Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost her to send 6 small packages
and 7 large packages?

Answers

Answer:

$35.70

Step-by-step explanation:

small package: 2.10×6=12.60

large package: 3.30×7=23.10

total: 23.10+12.60=35.70

what is the solution to the equation 5=2/5a​

Answers

Answer:

a = 25/2

Step-by-step explanation:

5 = (2/5)*a // - (2/5)*a

5-((2/5)*a) = 0

(-2/5)*a+5 = 0

5-2/5*a = 0 // - 5

-2/5*a = -5 // : -2/5

a = -5/(-2/5)

a = 25/2

a = 25/2

which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?

Answers

Answer:

8:15

or 8/15

Step-by-step explanation:

8 out of 15

Answer:

8:15

Step-by-step explanation:

There are 8 red apples and total of 15 apples

PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES

Answers

Answer:

y = ½x + 8

Step-by-step explanation:

The equation of the function can be written in the slope-intercept form y = mx + b.

m = slope = change in y/change in x

b = y-intercept = the value of y when x is zero

✔️From the table, when x = 0, y is 8.

Therefore,

y-intecept (b) = 8

✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):

m = (9 - 6)/(2 -(-4))

m = 3/6

m = ½

✔️Next is to plug in the values of m and b into y = mx + b.

Thus:

y = ½x + 8

PLEASE HURRY THIS TEST IS TIMED
Use the distributive property to factor out y.

5 y minus 3 y + 12

The new expression becomes
A. 8 y + 12.
B. Negative 2 y + 12.
C. 2 y + 12.
D. 14 y.

Answers

Answer:

2y+12

Step-by-step explanation:

First you subtract 5 and 3 so that you can combine them. THen, you put the solution together.

Solve for p.
-4.5 + 2/3
- 18.9
A
p=-117.9
B.
p = -108.9
С
p = -86.4
D
P = 140.4

Answers

Answer:

me no sabo

Step-by-step explanation:

1. The cost of using a telephone in a hotel meeting room is $0.20 per minute. Which of the
following equations represents the total cost, c, in dollars for h hours of phone use?
a c= 0.20(60h)
b c= 0.20 + 60
d =

Answers

Answer:

A is correct

Step-by-step explanation:

[tex]\frac{0.20}{1min}[/tex] = [tex]\frac{12.00\\}{1 hour}[/tex]  

We can scale the ratio to give the most accurate answer.

0.20 X 60 = 12.00

*pls give brainlist*

Juli uses 12 ounces of cheese in her potato soup recipe. Her recipe yields 8 servings. If Juli needs enough for 20 servings, how many pounds of cheese will she need? Thanks for the help!

Answers

Answer:

30 ounces of cheese

Step-by-step explanation:

12 divided by 8 = 1.5 so 1.5 ounces of cheese per serving

20 x 1.5 = 30 so 30 ounces of cheese

I need work shown as well

Answers

Answer:

A

Step-by-step explanation:

area of the triangle is 5 x 2/ 2 which is 5

area of the square is 25

area of the semi circle is 1/2 * 3.14 * 2.5^2 which is 9.8125

9.8125. + 25 + 5 = 39.8125

include why or why not pls help

Answers

Answer:

Yes.

Step-by-step explanation:

If you were to make a little box in the corner it would mean its a right angle (or if the angle is 90 degrees)

A speaker is in the shape of a cube with an edge length of 3.5 inches. The speaker is sold in a package in the shape of
square prism with a base area of 16 square inches and a height of 4 25 inches
Part B What is the surface area, in square inches, of the package?

Answers

Answer:

I think it would be 6800 square in because you just have to multiply 16 by 425.... Sorry if it is wrong

Step-by-step explanation:

solve for x without using a calculator
x^4+81=0​

Answers

X^4+81=0 sorry if I got it wrong I apologize

Answer:

the answer to the equation is x= -3

The red string r is 20 centimeters less than 5 times as long as the orange string s ." ​This can be represented by the expression r = 5 s − 20. Find the length of the red string​ if the length of the orange string is 10 centimeters. ​ The length of the red string is ​ centimeters.

Answers

30 Im pretty sure :>

Maria bought apples(a) for $2.32 per pound and bananas(b) for $1.65. She spends $31.42. Write the equation for this situation.

Answers

Answer:

$31.42-(2.32+1.65)

Step-by-step explanation:

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=". The word equation and its cognates in other languages may have subtly different meanings; for example, while in English, any equality is an equation. Solving an equation containing variables consists of determining which values of the variables make the equality true.

2) As a wildlife biologist you are currently researching feral pigs in Texas and need to collect data to yield the average weight of a mature female feral pig in Texas. Which type of study is most suitable for data collection in this situation? A) experimental B) Census sampling Eliminate D) simulation​

Answers

Answer:

Step-by-step explanation:

C sampling

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