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Dominik [7]
3 years ago
12

PLEASE HELP SOON Find the value of x. Round to the nearest tenth. 27° х 34° 11 X = ? [?] 9 Law of Sines: sin A sin C sin B b a E

nter
Mathematics
1 answer:
Tatiana [17]3 years ago
5 0

The picture of the problem has been attached below :

Answer:

13.5

Step-by-step explanation:

Applying the sine rule to solve for x

SinA /a = SinB / b = SinC/ c

Sin 34 / x = Sin 27/11

Cross multiply :

11 * sin34 = x * sin 27

6.1511219 = 0.4539904x

Divide both sides by 0.4539904

6.1511219/0.4539904 = x

13.549 = x

x = 13.5

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<span>There are three possibilities. 1. Of the 30 bikes that needed gear repairs, 20 also needed tires. 2. Of the 30 bikes that needed gear repairs, 10 also needed tires. 3. Of the 30 bikes that needed gear repairs, between 10 and 20 also needed tires.</span>
7 0
3 years ago
Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma
levacccp [35]

Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = \dfrac{1}{4}

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = \dfrac{1}{2}

Let 't' be the time taken by both of them working together , then we have the following equation:-

\dfrac{1}{t}=\dfrac{1}{4}+\dfrac{1}{2}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1+2}{4}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{4}\\\\\Rightarrow t=\dfrac{4}{3}=1\dfrac{1}{3}\ \text{ hours}

Since 1 hour = 60 minutes

Then, \dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

8 0
3 years ago
Jennifer has been saving for college for 57 months. The first month, she saved $11.
forsale [732]
11*57+X(1+2+3+.....+56)
=11*57+X(1+56)*56/2
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6 0
3 years ago
Read 2 more answers
HELP PLEASE The 20% tip on a $8 sandwich​
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Answer:

$1.60

Step-by-step explanation:

So, to find the persent of a number, we need to make the percent a decimal.

So, 20% is equal to 0.2

Then, we need to multiply 0.2*8

       8.0

*      0.2

________

       1.6

So, our answer is 1 dollar and 60 cents!

5 0
2 years ago
Read 2 more answers
Brainliest first &amp; correct!
Ilia_Sergeevich [38]

Answer:  Choice A

y = -3(x+2)^2 + 10

=================================================

Work Shown:

y = -3x^2-12x-2 is in the form y = ax^2+bx+c with

a = -3

b = -12

c = -2

The x coordinate of the vertex is

h = -b/(2a)

h = -(-12)/(2*(-3))

h = 12/(-6)

h = -2

We'll plug this into the original equation to find the corresponding y coordinate of the vertex.

y = -3x^2-12x-2

y = -3(-2)^2-12(-2)-2

y = 10

So k = 10 is the y coordinate of the vertex.

Overall, the vertex is (h,k) = (-2,10)

Meaning that we go from this general vertex form

y = a(x-h)^2 + k

to this

y = -3(x - (-2))^2 + 10

y = -3(x+2)^2 + 10

8 0
3 years ago
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