Need help like really quick please!!!!

Determine a, given that A = 63°, C = 49°, and c = 3. Round answers to the nearest whole number. Do not use a decimal point or ex

GREYUIT [131]

The value of a given that A = 63°, C = 49°, and c = 3 is 4 units

<h3>How to determine the value of a?</h3>

The given parameters are:

A = 63°, C = 49°, and c = 3

Using the law of sines, we have:

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

So, we have:

a/sin(63) = 3/sin(49)

Multiply both sides by sin(63)

a = sin(63) * 3/sin(49)

Evaluate the product

a = 4

Hence, the value of a is 4 units

Read more about law of sines at:

brainly.com/question/16955971

#SPJ1

4 0

3 years ago

Given the parent function f(x)=x^2 give the best description of the graph of y=x^3+3. a. expanded vertically by a factor of 5 c.

4vir4ik [10]

Answer:

Step-by-step explanation:nsnsnmalqlq

8 0

3 years ago

Read 2 more answers

The operations manager of a manufacturer of television remote controls wants to determine which batteries last the longest in hi

Margarita [4]

Answer:

$t=\frac{107.75-116.75}{\sqrt{\frac{2.75^2}{4}+\frac{9.604^2}{4}}}}=-1.802$

The degrees of freedom are given by:

$df=n_{1}+n_{2}-2=4+4-2=6$

The p value for this case would be given by:

$p_v =2*P(t_{(6)}$

Since the p value is higher than the significance level we have enough evidence to FAIl to reject the null hypothesis and we can conclude that the true mean is not significantly different between the two types of battery

Step-by-step explanation:

Information given

Battery 1 106 111 109 105

Battery 2 125 103 121 118

We can calculate the mean and the deviation with the following formulas"

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X_{1}=107.75$ represent the mean for the Battery 1

$\bar X_{2}=116.75$ represent the mean for the Bettery 2

$s_{1}=2.75$ represent the sample standard deviation for the Battery 1

$s_{2}=9.604$ represent the sample standard deviation for the battery 2

$n_{1}=4$ sample size selected for the Battery 1

$n_{2}=4$ sample size selected for the Battery 2

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check if the difference in longevity between the two batteries, the system of hypothesis would be:

Null hypothesis: $\mu_{1} = \mu_{2}$

Alternative hypothesis: $\mu_{1} \neq \mu_{2}$

The statistic is given by:

$t=\frac{\bar X_{s1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

The statistic is given by:

$t=\frac{107.75-116.75}{\sqrt{\frac{2.75^2}{4}+\frac{9.604^2}{4}}}}=-1.802$

The degrees of freedom are given by:

$df=n_{1}+n_{2}-2=4+4-2=6$

The p value for this case would be given by:

$p_v =2*P(t_{(6)}$

Since the p value is higher than the significance level we have enough evidence to FAIl to reject the null hypothesis and we can conclude that the true mean is not significantly different between the two types of battery

8 0

3 years ago

The combination for a lock is a 3-digit number. The digits are the prime factors of 42 listed from least to greatest. What is th

Dvinal [7]

Answer:

2, 3, 7

Step-by-step explanation:

Since you know your multiplication tables, you know that ...

42 = 6 × 7

and

6 = 2 × 3

The numbers 2, 3, and 7 are prime numbers (not further divisible). This list is in order least to greatest, so is the combination of the lock.

3 0

4 years ago

Two last help with math please and thanks!

12345 [234]

1st problem:
Use the Pythagorean theorem:
a^2+b^2=c^2
49+361=c^2
c^2=410
c=20.24
The answer is 20m

2nd problem:
First calculate the height using the Pythagorean theorem:
a^2+b^2=c^2
20^2+b^2=625 (i got 20 {radius} by half-ing the base edge length)
400+b^2=625
b^2=225
b=15

Next, solve for the volume:
V=a^2*h/3
V=40^2*15/3
V=1600*5
V=8000

The answer is the second choice or B.

5 0

4 years ago

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