Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.

Sine rule is used to show the relationship between the angles of a triangle and the sides opposite to the angles. It is given by:

a / sin(A) = b / sin(B) = c / sin (C)

where A, B, C are the angles and a, b, c are the sides opposite to the angles.

From the question:

let a = 8 in, A = 30°, b = 6 in, hence:

a / sin(A) = b / sin(B)

8 / sin(30) = 6 / sin(B)

B = 22°

The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.

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Answer:

x+y+z=15

x+2y+5z=15

-x+y+z=1

Step-by-step explanation:

Answer:

The answer is

x + y + z = 15

x + 2y + 5z = 35

-x + y + z = 1

Step-by-step explanation:

Answer:

Sum is 4/8

Difference is 2/8

Step-by-step explanation:

Sum is adding so add the numerators and denominators would be the same

Difference is subtraction

Answer:

22,4000 answer i tinking

Answer

40.1

Area of a triangle using sine rule = 1/2 a b sinC

a and b are the two known sides, sinC is the angle opposite the unknown side

1/2 x 14 x 7 sin(125) = 40.1 to the nearest tenth

Hope this helps

Answer:

40.1

Step-by-step explanation:

Answer: y=3x

Step-by-step explanation:

2x3=6

3x3=9

5x5=15

6x3=18

Answer:

0.0143 = 1.43% probability that the amount dispensed per box will have to be increased

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean for 1 hour is 1 pound and the standard deviation is 0.2 pound

This means that [tex]\mu = 1, \sigma = 0.2[/tex]

Sample of 49:

This means that [tex]n = 49, s = \frac{0.2}{\sqrt{49}} = 0.0286[/tex]

What is the probability that the amount dispensed per box will have to be increased?

This is the probability of the sample mean being less than 15 pounds = 15/16 = 0.9375 ounces, which is the pvalue of Z when X = 0.9375.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.9375 - 1}{0.0286}[/tex]

[tex]Z = -2.19[/tex]

[tex]Z = -2.19[/tex] has a pvalue of 0.0143

0.0143 = 1.43% probability that the amount dispensed per box will have to be increased

Answer:

You need to attach the picture of the angles

Answer:

right

Step-by-step explanation: because ones left and 1 right

Answer:

12.5%

Step-by-step explanation:

percent change is calculated as

[tex]\frac{change}{original\\}[/tex]    x 100

change = 32 − 28 = 4 pages

[tex]\frac{4}{32}[/tex] x 100% = [tex]\frac{100}{8}[/tex] % = 12.5 %

Hope it helps

Answer: √21/√pi

Step-by-step explanation: Surface area of ball is 4(pi)r^2. Divide 84 by 4 and get 21. Dividing 21 by pi and taking the square root therefore is the answer.

Answer:

D

Step-by-step explanation:

Hello There!

In order for a relationship to be proportional it must follow these requirements:

Knowing this let us now look at each relationship

The first one indeed has a constant rate of change

However it has a y intercept of (1,0) so it doesn't go through the origin therefore it is not a proportional relationship

For B:

B is not a proportional relationship because it does not have a constant rate nor can we tell if it goes through he origin

The y value first adds by 7 then by 9 then by 6. (while the x value goes up 1)

in a constant rate of change relationship the slope is constant and goes up by a certain amount each time therefore relation b is not proportional

For C:

Like relation A it has a constant rate of change but its not put in y = kx form and has a y intercept. Because of this it is not considered a proportional relationship

For D:

Relation D happens to have a constant rate of change (as it has a vertical straight line). It also happens to pass through the origin (0,0)

The relation fulfills each requirement therefore D is your answer

Answer:

If the goal is to break the vases: 3/20 = 15.0% or 0.15

If the goal is to not break the vases: 17/20 = 85.0% or 0.85

Answer:

1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Step-by-step explanation:

Given that a recipe for 1 batch of cookies calls for 3/4 cup of flour, to determine how much flour is required to bake 1 1/2 batches of cookies, the following calculation must be performed:

3/4 = 0.75

1/2 = 0.5

1 = 0.75

1.5 = X

1.5 x 0.75 / 1 = X

1.125 = X

0.125 = 1/8

Thus, 1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Answer:

576.4 in²

Step-by-step explanation:

Surface area of square pyramid = Base Area + ½(perimeter of base)(slant height)

Base area = s² = 11² = 121 in.²

Perimeter of base = 4(11) = 44 in.

Slant height = 20.7 in.

Plug in the values

Surface area = 121 + ½(44)(20.7)

= 576.4 in²

Answer:

a. 28π m²

b. 44π m²

Step-by-step explanation:

a. Lateral surface of the cone = πrl

Where,

r = 4 m

l = 7 m

Lateral surface area = π*4*7 = 28π m²

b. Surface area of cone = πr(l + r)

r = 4 m

l = 7 m

Surface area = π*4(7 + 4)

= 4π(11)

= 44π m²

Answer:

51 words

Step-by-step explanation:

20words=35 seconds

? =90 seconds

Cross multiplication to get

(90×20)/35

1800/35

51.42

Meaning he can type 51 words in 90 seconds

Answer:

he can type about 51 words in 90 seconds because

use proportion

7x = 360

x = 51 3/7

x is about 51

Step-by-step explanation:

Answer: 80

Step-by-step explanation: Supplements mean they add up to 180. is m of 3 is 100, then m of 4 must be 80 to add up to 180. Hope this helps!

Answer:

I think 1

Step-by-step explanation:

If I'm wrong I'm sorry I haven't done this since middle school

Step-by-step explanation:

C you are gonna have 3,120.00 pesos

The frequency data table is missing, so i have attached it.

Answer:

0.5

Step-by-step explanation:

We want to find conditional relative frequency and conditional relative frequency is used to compare the frequency count to the marginal total that represents the particular condition we are dealing with.

In this case, the condition is the popular vote of the state being won by the Democrat in 2012, given that the same popular vote was won by the Democrat in 1976.

In the frequency data table attached, we see that the joint frequency count for Democrat winning in 1976 and 2012 is given as 12.

While the corresponding marginal frequency total is given as 24.

Thus;

Conditional relative frequency = joint frequency count/marginal frequency total = 12/24 = 0.5

The conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976:

Thus;

Conditional relative frequency = joint frequency count/marginal frequency total = 12/24 = 0.5

The conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976 is 0.5.

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Answer:

49,410,000

Step-by-step explanation:

because calculator

Answer:

IH < IG < HG

Step-by-step explanation:

To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.

First, you need to find m<I; do this by subtracting 52 and 45 from 180. This means that m<I=83, making it the largest angle. Therefore, the angles, in order of least to greatest, are <G, <H, <I. So, to find the final answer, find the sides opposite of each of the angles. This means the answer is IH < IG < HG.

Answer:

Initial Deposit= $800

Annual rate= .1%

Leaves= 8 years

8 x .1= .8

$800 x .8= $640

$800+$640= $1,440

So your answer is $1,440 is the bank balance in 8 years

Step-by-step explanation:

hope i help have a great day

Answer:

B = 145°

Explanation:

Sorry but m∠C > 90° how could it be 35° ?

However if you still need an answer:

B = 180 - C

B = 180 - 35

B = 145°

Answer:

131.88 inches

Step-by-step explanation:

Circumfrnce formula is diameter * π

When using the median fit method to model data, you should Determine three y intercepts by using each summary point along with the slope.

This is a model for coming up with trend lines to represent the data given by a data set by dividing the given data into sections where the data points are equal in number.

As there will be three sections, it is important that three y intercepts are determined using summary points and the slope.

Find out more on the median fit method at https://brainly.com/question/23298464.

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Answer: C

Step-by-step explanation:

Answer:

It can't be simplified or added together because one is multiplied by x and the other is not

Step-by-step explanation: