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vova2212 [387]
3 years ago
12

Will someone please do number 4 and 6 for me ?

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0
4.  all for angles need to equal 360
  90 +90 + 42 = 222
360-222 = 138
y = 138 degrees
 x - 42 degrees


6. x = arctan(8/4) = 63.43 degrees ( round as needed)
  y =  16 / tan(63) = 8.15 ( round as needed)

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Find the values of x and y if 5 ˣ⁻³ x 3²ʸ⁻⁸ =225
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Answer:

x = 5, y = 5

Step-by-step explanation:

{5}^{x - 3}  \times  {3}^{2y - 8}  = 225 \\ {5}^{x - 3}  \times  {3}^{2y - 8}  = 25 \times 9 \\  {5}^{x - 3}  \times  {3}^{2y - 8}  =  {5}^{2} \times  {3}^{2}  \\ equating \: like \: power \: terms \: from \: both \:\\ sides \\ {5}^{x - 3}  =  {5}^{2} \\ x - 3 = 2 (Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ x = 3 + 2 \\ \huge \red{ \boxed{ x = 5}} \\  \\ {3}^{2y - 8}  = {3}^{2} \\ 2y - 8 = 2(Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal)  \\ 2y = 2 + 8 \\ 2y = 10 \\ y =  \frac{10}{2}  \\ \huge \purple{ \boxed{y = 5}}

5 0
3 years ago
Determine intervals y= -x^3 + 3x^2 -2
motikmotik

Answer:

(2,2) and (0,-2)

Step-by-step explanation:

Use the website desmos for questions like graphing

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3 years ago
What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)?<br> -8<br> оооо
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Answer:

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Step-by-step explanation:

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3 years ago
Your bag of rice says to mix 1 cup of rice with 2 cups of water. dela requ prov a. What is the ratio of rice to water? refer to
EastWind [94]

Answer:

(a) 1:2

(b) 6 cups

(c) \dfrac{2}{3}

Step-by-step explanation:

(a) Given,

amount of rice mixture contains= 1 cup

amount of water mixture contains= 2 cups

\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

                                                              =\ \dfrac{1}{2}

So, the ratio of rice to water is 1:2.

(b) Amount of rice in mixture = 3 cups

\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

                      =>\ \dfrac{1}{2}\ =\ \dfrac{3}{\textrm{amount of water in mixture}}

                       => amount of water in mixture = 3 x 2

                                                                          = 6 cups

(c) \textrm{amount of rice in mixture}\ =\dfrac{1}{3}

 \textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

   =>\ \dfrac{1}{2}\ =\ \dfrac{\dfrac{1}{3}}{\textrm{amount of water in mixture}}

  =>\textrm{amount of water in mixture}\ =\ \dfrac{2}{3}

So, the amount of water in the mixture will be \dfrac{2}{3} cup.

7 0
3 years ago
Show me how to work the equation x÷16=3​
andreyandreev [35.5K]

Answer: The variable x equals 48.

Step-by-step explanation:

Multiply the 3 by 16 to get 48.

Check your answer by actually dividing 48/16 to get 3.

7 0
3 years ago
Read 2 more answers
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