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3 years ago

12

Please help! Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. C = 67°, a = 2

1, c = 20

2 answers:

lys-0071 [83]3 years ago

6 0

(20/Sin 67) = (21/Sin A)
Cross multiply
21Sin67 = 20SinA
Divide by 20
(21Sin67)/20 = SinA

A = Sin^-1 (21Sin67)/20 = 75 degrees

ValentinkaMS [17]3 years ago

3 0

Answer:

A = 75.1°, B = 37.9°, b = 13.3; A = 104.9°, B = 8.1°, b = 3.1

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Heather is making a blanket for her baby and is going to put a ribbon border around it. The blanket will be 3 feet by 5 feet. Th

mote1985 [20]

Answer:

The approximate total cost for the blanket is $10.08 ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = L × W

The formula of the perimeter of a rectangle is P = 2(L + W)

where:

L is the length of the rectangle
W is the width of the rectangle

∵ The baby blanket shaped a rectangle

∵ The dimensions of the blanket are 3 feet and 5 feet

- Find the area of the blanket

∵ A = 3 × 5 = 15 feet²

- Change feet to yard because the cost is by square yard

∵ 1 foot = $\frac{1}{3}$ yard

∴ 1 foot² = $(\frac{1}{3})^{2}=\frac{1}{9}$ yard²

∴ 15 feet² = 15 × $(\frac{1}{9})$ = $\frac{5}{3}$ yards²

∴ The area of the blanket is $\frac{5}{3}$ yards²

∵ The fabric cost of the blanket is $1.25 per square yard

∴ The fabric cost = $\frac{5}{3}$ × 1.25

∴ The fabric cost = 2.08333 dollars

∵ Heather is going to put a ribbon border around it

- The length of the ribbon is equal to the perimeter of the blanket

∵ P = 2(3 + 5) = 16 feet

∴ The length of the ribbon is 16 feet

∵ The cost of the ribbon is $0.5 per foot

∴ The cost of the ribbon = 16 × 0.5

∴ The cost of the ribbon = 8 dollars

Now add the fabric cost to the ribbon cost to find the total cost of the blanket

∵ The total cost = 2.08333 + 8

∴ The total cost = 10.08333

- Round it to the nearest cent

∴ The total cost = 10.08 dollars

The approximate total cost for the blanket is $10.08

7 0

3 years ago

Anybody know the answer?

Ilya [14]

Answer:

C.

Step-by-step explanation:

The eqn. of a circle with centre (h,k)and radius ris given by,

6 0

3 years ago

Please help with Math questions!

m_a_m_a [10]

1) 4, because 4/5 is closer to 4 than it is 3 1/2.

2) 100

3) 5

3 0

3 years ago

What other way can I represent 2 1/3 ?

sveta [45]

The following is also equivalent to 2 1/3:

2.33
7/3

Hope this helps, let me know if you have any other questions.

3 0

4 years ago

Read 2 more answers

Using traditional methods, it takes 10.1 hours to receive a basic driving license. A new license training method using Computer

Law Incorporation [45]

Answer:

We need to conduct a hypothesis in order to check if the technique performs differently than the traditional method, the system of hypothesis would be:

Null hypothesis: $\mu =10.1$

Alternative hypothesis: $\mu \neq 10.1$

$t=\frac{10.5-10.1}{\frac{1.4}{\sqrt{12}}}=0.990$

$p_v =2*P(t_{(11)}>0.990)=0.343$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the technique performs differently than the traditional method at 10% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=10.5$ represent the sample mean

$s=1.4$ represent the sample standard deviation

$n=12$ sample size

$\mu_o =10.1$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the technique performs differently than the traditional method, the system of hypothesis would be:

Null hypothesis: $\mu =10.1$

Alternative hypothesis: $\mu \neq 10.1$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{10.5-10.1}{\frac{1.4}{\sqrt{12}}}=0.990$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=12-1=11$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(11)}>0.990)=0.343$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the technique performs differently than the traditional method at 10% of signficance.

7 0

3 years ago