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dalvyx [7]
3 years ago
11

Solve for the indicated variable

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answer:

243.911, or rounding to the nearest unit, 244.

Step-by-step explanation:

For this, you need to know a concept in Trigonometry called "Law of Sines". This states that the ratio of any side of a triangle to the sine of the angle opposite is equal for all cases in that triangle.

Knowing this:

\frac{200}{ \sin(48) }  =  \frac{x}{ \sin(65) }  \\ x \sin(48)  = 200 \sin(65)  \\ x =  \frac{200 \sin(65) }{ \sin(48) }  \\ x = 243.911

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What are the solutions to the equation 3(x – 4)(x + 5) = 0?
vesna_86 [32]
First you distribute the 3
(3x-12) (x+5)=0
then you set each equation equal to zero
3x-12=0 & x+5=0
then you solve for x
x =4, -5
7 0
3 years ago
Read 2 more answers
Two ice skaters started on opposite ends of a 200-foot-long rink and then skated toward each
SSSSS [86.1K]

Answer:

The proportion that can be used to find x is;

(200-x)/x = 7/6

Step-by-step explanation:

Now, we want to find the proportion which can be used to find x.

From the question, we are told that the father skater traveled 7 ft for every 6 ft of the slower skater;

this means that the ratio of their speed is 7:6

Now, when they passed each other , the slower skater has traveled x ft, what this means is that the faster skater will have traveled a distance of (200-x) ft at that moment they passed each other.

Mathematically, since their time is equal i.e the time they used to pass each other, then, the ratio of their distances is same as the ratio of their speeds;

Hence;

(200-x)/x = 7/6 or x/(200-x) = 6/7

3 0
3 years ago
Mr. Roundtree had 20 tickets. He gave 10 to his family and 8 to his friends.​
Ket [755]
He has two tickets left
5 0
3 years ago
Ella and jade both ran a marathone ella finished 4 hours 6 mins and 13 seconds jade finished in 4 hours and 3 mins and 18 second
spin [16.1K]

Answer:

Jade is faster than Ella by 2 minutes and 55 seconds.

Step-by-step explanation:

We are told that Ella and Jade both ran a marathon. Ella finished marathon in 4 hours 6 mins and 13 seconds. Jade finished marathon in 4 hours and 3 mins and 18 seconds.

We can write 4 hour 6 minutes 13 seconds as 4 hour 5 minutes 73 seconds. 1 minute has been borrowed to the seconds side, and seconds become 13+60 = 73 seconds.

We can see that Ella took more time than Jade. Let us find how much more time Ella took than Jade by subtracting time taken by Jade from time taken by Ella.  

4\text{ hr }5\text{ min }73\text{ sec }-4\text{ hr }3\text{ min }18{ sec }= 2\text{ min }55\text{ sec }  

We can see that Jade took 2 minute and 55 seconds less than Ella , therefore, Jade was faster than Ella by 2 minutes 55 seconds.

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3 years ago
3 5/6 + 2 2/3 equals
attashe74 [19]

Answer:

Equals 6 1/2

Step-by-step explanation:

You need to add 3 and 2 first. then Put 5 over 6 and 2 over 3 and add them together

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3 years ago
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