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liubo4ka [24]
3 years ago
13

Find the variable of each ............

Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer:

The answer is option d.

To find a we have to first find b

sin 60° = b / 10

b = 10 sin 60°

b = 5√3

sin 30° = b / a

b = 5√3

a = 5√3 sin 30°

a = 10√3

cos 30° = c / a

a = 10√3

c = 10√3 sin 30°

c = 15

cos 60° = d /10

d = 10 cos 60°

d = 5

a = 10√3 , b = 5√3 , c = 15 and d = 5

Hopethis helps.

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A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
ryzh [129]

Answer:

5/12

Step-by-step explanation:

the the ones that can be choosing are January March May June and July.

7 0
3 years ago
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If 1/6x + 3 = 7 what is x
kotykmax [81]

Answer:

x = 24

Step-by-step explanation:

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6 0
4 years ago
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Mr. Hughes has contributed $4000.00 per year for the last ten years into a RRSP account earning 9.00% compounded annually. Suppo
SIZIF [17.4K]

Answer:

A) $93,504.818

B) $40,000

C) $53,504.818

Step-by-step explanation:

Yearly contribution ( periodic payment) = $4000

Period (p) = 10years

Additional period(y) = 5years

Annual interest(r) = 9% = 0.09

Future value (FV) =

periodic payment [(1 + r)^y - 1] / r

4000 [(1 + 0.09)^10 - 1 / 0.09]

4000[1.09^10 - 1 / 0.09]

4000[1.3673636 / 0.09]

4000(15.192929)

= 60771.716

If left for five more years:

FV = 60771.716(1 + r)^n

FV = 60771.716(1 + 0.09)^5

FV = 60771.716(1.09)^5

FV = 60771.716(1.5386239549)

FV = $93,504.818

B) MR. HUGHES CONTRIBUTION :

Periodic payment × p ; $4000 was deposited annually for 10 years.

$4000 × 10 = $40,000

C) Interest = Future value - contribution

$93,504.818 - $40,000

= $53,504.818

4 0
4 years ago
I need help with this practice problem It’s from my trig prep guide
Zinaida [17]

We know that π = 180°, therefore:

1.

2\pi=2(180)=360

Answer: correct

2.

\frac{5\pi}{6}=\frac{5(180)}{6}=\frac{900}{6}=150

Answer: no correct

3.

\frac{\pi}{6}=\frac{180}{6}=30

Answer: no correct

4.

\frac{5\pi}{4}=\frac{5(180)}{4}=\frac{900}{4}=225

Answer: correct

5.

\frac{4\pi}{3}=\frac{4(180)}{3}=\frac{720}{3}=240

Answer: correct

6 0
1 year ago
If the circumference of a circle is 22 Pi find the length of its radius
Fed [463]
The answer for radius= 11 ........
6 0
4 years ago
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