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Iteru [2.4K]
1 year ago
13

Hello I need help with question 12! I will give you a great rating! Please help, I’m not sure how to do this. Also this is not a

quiz this is practice

Mathematics
1 answer:
Shkiper50 [21]1 year ago
4 0

Given the following question:

Lable all the sides of the triangle:

Hypotenuse is the missing side

Right angle is the opposite

Adjacent is equal to 21

We have all of our sides so now we won't get them mixed up when finding the missing value of this triangle.

sin =

opp/hyp

cos =

adj/hyp

tan =

opp/adj

Since we are given the adjacent side and we are trying to find the hypotenuse we will solve for cos since we have the adjacent side but we need the hypotenuse

cos(35)=21/x

Now solve:

\begin{gathered} cos35^{\circ}=\frac{21}{x} \\ x\times x=0 \\ (x)cos35=21 \\ \frac{cos35}{cos35}=0 \\ \frac{21}{cos35}=25.6362664 \\ 25.6362664 \\ 3

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What is the measure of Y? 4·9=36=36/4
alexira [117]

Answer:

Figure or Diagram Mandatory

GOOD LUCK FOR THE FUTURE! :)

3 0
2 years ago
What is the length of line segment KJ?
Karolina [17]

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

KJ^2=KM^2+MJ^2

KJ^2=6^2+3^2

KJ^2=36+9

KJ^2=45

Now we will take positive square root on both sides:

\sqrt{KJ^2}=\sqrt{45}

KJ=\sqrt{9\cdot 5}

KJ=3\sqrt{5}

Therefore, the length of line segment KJ is 3\sqrt{5} and option D is the correct choice.

5 0
3 years ago
I’m not sure how to solve “system of equations”
natka813 [3]

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

7 0
3 years ago
Find the values of x when y=1
kirill [66]

Answer:

x=1+\sqrt{5}, 1-\sqrt{5}

Step-by-step explanation:

  1. x^{2} -2x-4=0
  2. (x-1)^{2} -1-4=0
  3. (x-1)^{2} -5=0
  4. (x-1)^{2} =5
  5. x-1=\sqrt{5} ,-\sqrt{5}
  6. x=1+\sqrt{5} , 1-\sqrt{5}

<u>FINAL ANSWER</u>

x=1+\sqrt{5} , 1-\sqrt{5}

<u><em>In Decimal Form (Rounded to 3 significant figures)</em></u>

<em>x≈-1.24, 3.24</em>

6 0
3 years ago
Read 2 more answers
The ratio between the square of a number and it's cube is 1:3 what is the number ​
Dimas [21]

Answer:

3

Step-by-step explanation:

Call that number “x”

The square of that number is x^2

Also as the cube is x^3

The ratio between these 2 values is 1:3, this means x^2 / x^3 = 1 / 3

<==> 1 / x = 1 / 3 (eliminate “x^2” for numerator and denominator of the fraction x^2 / x^3 )

<==> x = 1 * 3 / 1 = 3

So, that number is 3 ! This math problem seems simple ;)

4 0
2 years ago
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