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Law Incorporation [45]
3 years ago
11

The angles of a triangle are described as follows: angle a is the largest angle; it measure is twice the measure of Angle b. The

measure of Angle C is 10 more than one-third of angle B. Fins the measurements of the three angles in degrees.
(Angles in a triangle add up to 180 degrees.)
Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

Angle A = 102°

Angle B = 51°

Angle C = 27°

Step-by-step explanation:

angle A = 2b

angle B = b

angle C = 1/3 b + 10

Angle A + Angle B + Angle C = 180

2b + b + 1/3 b + 10 = 180

3 1/3 b + 10 = 180

10/3 b = 170

b = 51

a = 2b = 102

c = 1/3 b + 10 = 1/3 (51) + 10 = 17 + 10 = 27

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A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches. The functio
Illusion [34]

Answer:

s\geq 23

Step-by-step explanation:

We are given that a student needs to make a square cardboard piece.

Perimeter of cardboard  should be equal to atleast 92 inches

We have to find that which shows reasonable domain for f(s)

Let s be the side of square cardboard

We know that perimeter of square =f(s=)4\times side

Then, perimeter of  cardboard=4s

4s\geq 92

Dividing by 4 on both sides

s\geq 23

Hence, the domain of function[23,\infty)

Therefore, option d is true.

Answer:d: s\geq 23

6 0
3 years ago
What is pie exactly equal to?
natta225 [31]
Ummmm

pie = π

i think its right
3 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 40 feet. The ratio of the width to the length is 2:3 find the length and the width
ziro4ka [17]

Width : Length

2 : 3

Perimeter = 2* width + 2*length

Ratio becomes:

Width : Length

4 : 6

Total units = 4 + 6 = 10

Perimeter = 40

Answer: Width is 8 ft and Length is 12 ft.

5 0
2 years ago
Which table shows input and output values that represent a linear function?
shepuryov [24]

Answer:

Table A

Step-by-step explanation:

In order for it to be a linear relationship, the change in the x values and y values (f(x)) needs to be consistent.

In every table, the x values change the same, so we can focus on the y values.  

Notice in table A, the f(x) values go down consistently by 10 for every change in x.  

All of the other tables are not consistent.  

Therefore, table A is the only linear function.

4 0
3 years ago
Coffee: A popular chain of cafes has been receiving online complaints about one store location. Regular customers complained tha
spin [16.1K]

Answer:

z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67  

Step-by-step explanation:

1) Data given and notation

n=100 represent the random sample taken

X=18 represent the ounce cups of coffee that were underfilled

\hat p=\frac{18}{100}=0.18 estimated proportion of ounce cups of coffee that were underfilled

p_o=0.1 is the value that we want to test

\alpha represent the significance level  

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion it's higher than 0.1 or 10%:  

Null hypothesis:p\leq 0.1  

Alternative hypothesis:p > 0.1  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed for this case is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a one right tailed test the p value would be:  

p_v =P(Z>2.67)=0.0037  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance thetrue proportion is not significanlty higher than 0.1 or 10% .  

5 0
3 years ago
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