How many units away is 1 from -6 on a number line?

Calculate the value of angle A and C of ∆ ABC. Where b=1435cm, a= 782cm and B= 115.6°.

Monica [59]

The Law of Sines says

$\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c}$

$\sin A = \dfrac a b \sin B$

$A = \arcsin( \dfrac{782}{1435} \sin 115.6 ) = 29.44^\circ$

We don't have to worry about the obtuse supplement because a triangle can only have one obtuse angle, and that's B.

$C = 180 - 115.6 - 29.44 = 34.96^\circ$

Answer: A=29.44°, C=34.96°

5 0

2 years ago

Michelle has 21 ⅙ cups of flour in a container. She uses 6 ⅚ cups of flour to make 5 loaves of bread. How much flour does Michel

Bezzdna [24]

It should be about -13 cups

7 0

2 years ago

This is an off topic question but i feel the need to let other peoples brains keep running so these are the questions i will giv

serg [7]

<span>−4.6−(0.4+7.2)
</span><span>−20+(−40)+(−60)

4 and 5 is properties of addition

-80 is your answer

hope this helps</span>

6 0

2 years ago

Read 2 more answers

A pharmacist added 50 g of drug to make a total of 200 mL of solution. What is the percentage of drug in the resultant solution?

Bad White [126]

Answer: 25%

Step-by-step explanation:

Given : A pharmacist added 50 g of drug to make a total of 200 mL of solution.

Here, Resultant solution = 200 mL

Amount of drug = 50 g

We know that 1 gram = 1 ml

So, we can say the amount of drug = 50 ml

Now, the percentage of drug in the resultant solution:-

$\dfrac{50}{200}\times100=25\%$

Hence, the percentage of drug in the resultant solution= 25%

6 0

2 years ago

2. A marketing firm is trying to estimate the proportion of potential car buyers that would consider

Maurinko [17]

Answer:

a. The number of people that should be in the pilot study are 600 people

b. The point estimate is 0.62 $\overline 6$

c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)

d. Two ways to reduce the margin of error are;

1) Reduce the confidence interval

2) Use a larger sample size

Step-by-step explanation:

a. The given parameters for the estimation of sample size is given as follows;

The margin of error for the confidence interval, E = 4% = 0.04

The confidence level = 95%

The sample size formula for a proportion as obtained from an online source is given as follows;

$n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}$

Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;

Z = The level of confidence at 95% = 1.96

n + The sample size

Therefore, we have;

$n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25$

Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people

b. The point estimate for the population proportion is the sample proportion given as follows;

$\hat p = \dfrac{x}{n}$

Where;

x = The number of the statistic in the sample

n = The sample size

From the question, we have;

The number of potential car buyers, n = 600

The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376

Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, $\hat p$ = 376/600 = 0.62 $\overline 6$