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solniwko [45]
2 years ago
6

PLS HELP ASAP find the measure of side b. round to the nearest whole number

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
3 0

Answer:

b=204

Step-by-step explanation:

The law of sine states that: \frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}

We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle: 180-90-41=49°.

Using these two things, we can come up with the equality \frac{Sin90^{o} }{270} =\frac{Sin49^o}{b}, which we can use to solve for side b.

\frac{Sin90^o}{270} =\frac{1}{270}, so we know that \frac{1}{270} =\frac{Sin49^o}{b}.

Next, we would multiply both sides by b to get \frac{1}{270}b=Sin49^o.

Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77

Since the problem asks us to round to the nearest whole number, b=204

Hope this helps! :)

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3 0
3 years ago
A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
lara [203]

Answer:

y=7x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

we have the points (2,14) and (4,28)

Find out the constant of proportionality k

k=y/x                      

For (2,14) ----> k=14/2=7

For (4,28) ----> k=28/4=7

so                              

the value of k=7            

therefore                                          

The equation  is                                                    

y=7x                

3 0
3 years ago
Read 2 more answers
Find two numbers, if their sum is 49 and their difference is 1/2 .
amm1812

Answer:

x=24\frac{3}{4}\\ y=24\frac{1}{4}

Step-by-step explanation:

Let the two numbers be x and y

So we have:

x +y = 49\\x-y=\frac{1}{2}

using the elimination method, add the two equations together:

2x=49\frac{1}{2} \\2x=\frac{99}{2}

solve for x:

x=\frac{99}{4}\\x=24\frac{3}{4}

substitute our value for x back into the first equation we made:

x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}

therefore,

x=24\frac{3}{4}\\ y=24\frac{1}{4}

6 0
3 years ago
Its add math. i really need help, solve the question. thanks♥️​
dexar [7]

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = ax + b

x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )

Substitute these values into f(x) = ax + b, that is

2a + b = 1 → (1)

- a + b = - 5 → (2)

Subtract (2) from (1) term by term to eliminate b

3a = 6 ( divide both sides by 3 )

a = 2

Substitute a = 2 into (2) and evaluate for b

- 2 + b = - 5 ( add 2 to both sides )

b = - 3

(b)

When x maps onto itself then

ax + b = x, that is

2x - 3 = x ( subtract x from both sides )

x - 3 = 0 ( add 3 to both sides )

x = 3

Thus a = 2, b = - 3 and x = 3

6 0
3 years ago
Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a gi
Sunny_sXe [5.5K]

Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

5 0
3 years ago
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