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Natali5045456 [20]
3 years ago
12

Using the triangle theorem solve this triangle.​

Mathematics
2 answers:
timofeeve [1]3 years ago
4 0

Answer:

take 30 degree as reference angle

using sin rule

sin 30=p/h

1/2=8/h(do cross multiplication)

h*1=8*2

h=16

therefore hypotenuse (b)=16

now for base(a)

using cos rule

cos 30 =b/h

\sqrt{3}/2=b/16(do cross multiplication)

b*2=16*\sqrt{3}

b=16\sqrt{3}/2

b=8\sqrt{3}

b=13.85

b=13.9

Step-by-step explanation:

Blizzard [7]3 years ago
3 0

Answer:

8 and 8√3

Step-by-step explanation:

Sin90 = b/8

1 x 8 =b

b=8

Tan 30 = 8/a

1/√3 = 8/a

a=8√3

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Find m A) 110<br> B) 222<br> C) 28<br> D) 82
ioda

Answer:

As angel WVU = angel WVF + angel FVU

Therefore angel WVF =152 - 70

so, angel WVF = 82

4 0
3 years ago
In how many years will $ 21,136.18 amount to $ 75,514.55 at 27.54 % per annum when compounded quarterly?
qaws [65]

The number of years is 4.781 in which $21,136.18 amount to $75,514.55 at 27.54% per annum when compounded quarterly and this can be determined by using the formula of the compound interest.

Given :

  • Principal amount = $21136.18
  • Final amount = $75514.55
  • Interest rate per annum = 27.54%
  • Compounded quaterly.

The formula of the compound interest is given by:

\rm A= P(1+\dfrac{r}{n})^{nt}\\

where A is the final amount, P is the principal amount, r is the interest rate, t is the time in years, and 'n' is a number of times interest applied.

Now, substitute the values of known terms in the above formula.

\rm 75514.55= 21136.18(1+\dfrac{0.2754}{4})^{4\times t}\\

3.5727=(1.06885)^{4t}

Now, take the log on both sides.

\rm log(3.5727)=(4t)log(1.006885)

19.1237 = 4t

t = 4.781 years

Therefore, the correct option is B).

For more information, refer to the link given below:

brainly.com/question/14295570

3 0
3 years ago
Read 2 more answers
A circle has a radius of 11.4 cm
mojhsa [17]

Answer:

7.6pie

Step-by-step explanation:

120°/360°=X/11.4×2 pie

1/3×22.8 pie =X

X= 7.6 pie

3 0
2 years ago
8313.81=3000(1+r/12)^60 how do you get rid of the exponet
nika2105 [10]
Raise both sides to \dfrac1{60}.

8313.81=3000\left(1+\dfrac r{12}\right)^{60}
\implies8313.81^{1/60}=3000^{1/60}\left(\left(1+\dfrac r{12}\right)^{60}\right)^{1/60}
\implies1.162=1.143\left(1+\dfrac r{12}\right)

\implies r\approx0.1995
8 0
3 years ago
PLEASE HELP FAST WILL MARK BRAINLIEST PLEASEEE
igomit [66]

Answer:

\frac{8x^{18} }{y^{2} }

Step-by-step explanation:

5 0
3 years ago
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