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nikitadnepr [17]
3 years ago
7

Use triangleABC to find the value of sin B

Mathematics
2 answers:
klasskru [66]3 years ago
7 0

The given triangle is a right triangle right angled at angle C. For angle B the adjacent side is BC ,the side opposite to angle B is AC while AB is hypotenuse. Sin of any angle is ratio of opposite and hypotenuse.

Sin\frac{opposite}{hypotenuse}

The opposite in the figure is 24 and hypotenuse is 25

Substituting the values of opposite and hypotenuse from figure we have:

Sin B=\frac{24}{25}

Delicious77 [7]3 years ago
4 0

As we are given

Opposite side of the angle B=24

Hypotenuse =25

\\ \ sin \theta=\frac{Opposite}{Hypotenuse}\\ \\ \ SinB=\frac{24}{25}\\

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What values of x and y satisfy the system of equations {10x+3y=−5−5x−4y=10? (0,−53) (25,−3) (−2,0) (12,−103)
Kitty [74]

Answer:

<em>The solution of the equation </em>

<em>( 0.4 ,-3)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i):</em></u>-

Given system of equations

                                  10 x+3 y = −5 ...(i)

                                 - 5 x - 4 y = 10 ...(ii)

Multiply (i) with '5'

          10 × 5 x +  3×5 y = - 25  

              50 x + 15 y = 25 ...(iii)

Multiply (ii) with '10'

        -5 × 10 x - 4×1 0 y = 100

       - 50 x - 40 y =100 ...(iv)

<u><em>Step(ii)</em></u>:-

Solving (iii) and (iv)

        50 x + 15 y =- 25

     <u>  - 50 x - 40 y =100</u>

                - 25 y = 75

Dividing ' - 25' on both sides, we get

               <em>    y = -3</em>

<em>substitute y = -3 in equation (i) , we get</em>

<em>            </em>  10 x+3 y = −5

             10 x - 9 = - 5

                10 x = -5 + 9

                    x = \frac{4}{10}

                 <em>  x =  0.4  </em>

<u><em>Final answer</em></u>:-

 <em>The solution of the equation   ( 0.4 ,-3)</em>

           

7 0
3 years ago
Write 2.18 as a mixed number in simplest form
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So, your final answer is 2 9/50

Hope this helps!
8 0
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The measure of an angle is 32°. What is the measure of its supplementary angle?
dolphi86 [110]
The measure of the supplementary angle is 148 degrees.
Hope this helps!
7 0
2 years ago
How much must you deposit in an account that pays 6.25% interest, compounded annually, to have a balance of $700 after two years
Amanda [17]

The compound interest is applied to the remaining balance in the account

each subsequent year.

  • The amount that must be deposited is approximately <u>$620.07</u>

Reasons:

The given compound interest rate, r = 6.25% = 0.0625

The balance in the account after 2 years, A = $700

Required:

The required deposit, <em>P</em>, that gives the given account balance after 2 years.

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The following is the compound interest formula to use;

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t = 2 years

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Which gives;

\displaystyle P = \frac{700}{(1 + 0.0625)^2} \approx  \mathbf{620.07}

  • The amount that must be deposited to give $700 after 2 years is P ≈ <u>$620.07</u>

Learn more about compound interest here:

brainly.com/question/10028292

6 0
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Square root of 12 as a decimal?<br> Round to the nearest hundredth if necessary
Mice21 [21]
The square root of 12 is 3.46410162 so your answer would be: 3.46
7 0
3 years ago
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