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Lorico [155]
2 years ago
11

5.

Mathematics
1 answer:
horsena [70]2 years ago
7 0
Need to know the radius.
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I really need help with this Triangle problem. ​
julia-pushkina [17]

Answer:

x = 10

y = 20

Step-by-step explanation:

\tan \: 30 \degree =  \frac{x}{10 \sqrt{3} }  \\  \\  \frac{1}{ \sqrt{3} } =  \frac{x}{10 \sqrt{3} }  \\  \\ \sqrt{3} x = 10 \sqrt{3}  \\  \\ x =  \frac{10 \sqrt{3} }{ \sqrt{3} }  \\  \\ x = 10 \\  \\  \cos 30 \degree =  \frac{10 \sqrt{3} }{y}  \\  \\  \frac{ \sqrt{3} }{2}  =  \frac{10 \sqrt{3} }{y}  \\  \\ y =  10 \sqrt{3}  \times  \frac{2}{ \sqrt{3} }  \\  \\ y = 10 \times 2 \\  \\ y = 20

4 0
2 years ago
50 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP
Tresset [83]

Answer:

<em>4a ) Difference ⇒ $ 63.24,</em>

<em>4b ) 4 children</em>

Step-by-step explanation:

4a ) If the number of children is represented by the value of x, let us substitute a family of 2 children as value of x into this equation we are given;

y = 21.08 * ( 2 ) + 85.15 ⇒ Multiply 21.08 by 2,

y = 42.16 + 85.15 ⇒ Combine like terms,

y = 127.31

If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;

y = 21.08 * ( 5 ) + 85.15 ⇒ Multiply 21.08 by 5,

y = 105.4 + 85.15 ⇒ Combine like terms,

y = 190.55

Difference; 190.55 - 127.31 = 63.24,

<em>Solution; Difference ⇒ $ 63.24</em>

4b ) If the amount is $ 169.47, let us plug it into our given equation provided amount spent on groceries ⇒ y;

169.47 = 21.08x + 85.15 ⇒ Subtract 85.15 from either side of equation,

21.08x = 84.32 ⇒ Divide either side 21.08,

x = 4 children

<em>Solution; 4 children</em>

7 0
2 years ago
Multiply. 7⋅3/4 Enter your answer as an improper fraction, in simplified form, in the box.
sukhopar [10]

Answer:

5.25

Step-by-step explanation:

6 0
3 years ago
Find the value of 7u+7 given that -3u-5=4
Serga [27]

Answer:

14

Step-by-step explanation:

-3u = 4+5

-3u = 9

u = -3

7u + 7

7(u +1) = 7(-3+1)

7(-2)

14

3 0
2 years ago
Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}
NemiM [27]

Answer:

The solution of the equation are 3 , -11

Step-by-step explanation:

* Lets revise how to make the completing square

- The form of the completing square is a(x - h)² + k, where a , h , k

 are constant

- The general form of the quadratic is ax² + bx + c, where a , b , c

 are constant

- To change the general form to the completing square form equate

  them and find the constant a , h , k

* Now lets solve the problem

∵ x² + 8x = 33 ⇒ subtract 33 from both sides

∴ x² + 8x - 33 = 0

- lets change the general form to the completing square

∴ x² + 8x - 33 = a(x - h)² + k ⇒ solve the bracket of power 2

∴ x² + 8x - 33 = a(x² - 2hx + h²) + k ⇒ multiply the bracket by a

∴ x² + 8x - 33 = ax² - 2ahx + ah² + k ⇒ compare the two sides

∵ x² = ax² ⇒ ÷ x²

∴ a = 1  

∴ -2ah = 8 ⇒ substitute the value of a

∴ -2(1)h = 8 ⇒ -2h = 8 ⇒ ÷ (-2)

∴ h = -4

∵ ah² + k = -33 ⇒ substitute the value of a and h

∴ (1)(-4)² + k = -33

∴ 16 + k = -33 ⇒ subtract 16 from both sides

∴ k = -49

∴ x² + 8x - 33 = (x + 4)² - 49

* Now lets solve the completing square

∵ (x + 4)² - 49 = 0 ⇒ add 49 to both sides

∴ (x + 4)² = 49 ⇒ take square root for both sides

∴ (x + 4) = ± 7

∵ x + 4 = 7 ⇒ subtract 4 from both sides

∴ x = 3

∵ x + 4 = -7 ⇒ subtract 4 from both sides

∴ x = -11

* The solution of the equation are 3 , -11

4 0
3 years ago
Read 2 more answers
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