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d1i1m1o1n [39]
3 years ago
13

Find the value of x and the value of y.

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

Step-by-step explanation:

According to the diagram ,

Hypotenuse = 10√3

Opposite = x

Adjacent = y

α = 60

Using SOHCAHTOA ,

Sin α = opp / hyp

Sin 60= x/10√3

√3/2= x/10√3

x = 15

Pythagoras theorem ;

Hypotenuse ^2 = Opposite ^2 +Adjacent ^2

10√3 ^2 = 15^2+ y^2

300 = 225 +y ^2

300 -225 = y^2

75 = y^2

y = √75y

y = 5√3

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14% of the town's population is over the age of 65. If there are 320 residents over the age of 65, approximately what is the tow
marshall27 [118]

Answer & Step-by-step explanation:

So if 14% are over 65, and 320 residents are over 65, then we can say that 14% of the town is 320. Then, we can divide by 14 to find 1%, which is 22.857142857 Now we can multiply this by 100 to get 2285.7142857, which is the answer. To double check, you'd just find 14% of 2285.7142857 (multiply by 0.14) which is equal to 320. Because you can't have fractions of people, however, you'd have to round the answer up to 2286 people.

If that is too difficult to understand them hope this is easier

14% of the towns population is 320. Let P denote the towns population.

14/100 * P =320

14P/100 = 320

14P = 32000

divide both sides by 14

P = 2285.71

the towns population is 2286

Hope this helps!

5 0
3 years ago
The formula for computing compound interest for a principal P that is invested at an annual rate r and compounded annually is gi
maria [59]

9514 1404 393

Answer:

  • r ≈ 6%

Step-by-step explanation:

Solving for r when n=2, we have ...

  A=P(1+r)^2\\\\\dfrac{A}{P}=(1+r)^2\\\\\sqrt{\dfrac{A}{P}}=1+r\\\\\boxed{r=\sqrt{\dfrac{A}{P}}-1}

For the given values of A and P, the value of r is ...

  r=\sqrt{\dfrac{5600}{5000}}-1=\sqrt{1.12}-1\approx 1.0583-1\\\\\boxed{r\approx 6\%}

8 0
3 years ago
you burn 200 calories by walking for 60 minutes how many calories will you burn if you walk 12 minutes?​
shusha [124]

Answer:

16.666

Step-by-step explanation:

divid 200 by 12

6 0
3 years ago
Find the length of a rectangle with a perimeter of 148 inches and width of 36 inches.<br> inches
Alexeev081 [22]

Answer:

Perimeter of rectangle = 2L + 2W

2L + 2 * 36 = 148

2L = 148 - 72

2L = 76

L = 38 inches

6 0
3 years ago
Read 2 more answers
Simplify the expression below. (–7x + 4) – (2x – 8)
Elanso [62]

Answer:

- 9x + 12

Step-by-step explanation:

Given

(- 7x + 4) - (2x - 8) ← distribute parenthesis by 1 and - 1

= - 7x + 4 - 2x + 8 ← collect like terms

= - 9x + 12

5 0
3 years ago
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