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3 years ago

Select the angle whose sine equals 12/37

Mathematics

1 answer:

Mazyrski [523]3 years ago

6 0

Answer:

Step-by-step explanation:

sin is o/h so across from 12 would be the angle r

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Use the Distributive Property to solve the equation.

aliya0001 [1]

Answer:

x = -6

Step-by-step explanation:

-5(x + 3) = 15

Distribute the -5

-5x -15 =15

Add 15 to each side

-5x-15+15 =15+15

-5x = 30

Divide each side by -5

-5x/-5 = 30/-5

x =-6

8 0

4 years ago

Evaluate 4c + 8 when c = 2

Wittaler [7]

Answer:

Step-by-step explanation:

4c + 8

Replace 'c' with 2 and evaluate:

4(2) + 8

8 + 8

Hope this helps.

8 0

3 years ago

Read 2 more answers

Find the perimeter of the object Help step by step please!

aliina [53]

Answer:

29.42 units

Step-by-step explanation:

1) Find the perimeter around the semi-circle

To do this, we find the circumference of the circle using the given diameter:

$C=\pi d$ where d is the diameter

Plug in 6 as the diameter

$C=\pi (6)\\C=6\pi$

Divide the circumference by 2

$\frac{6\pi }{2} \\= 3\pi$

Therefore, the perimeter around the semi-circle is 3π units.

2) Find the perimeter around the rest of the shape

Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those vertical sides facing the right add up to 6. We also know that all of those horizontal sides facing up add up to 7. Please refer to the attached images.

Therefore, we add the following:

7+6+7

= 20

Therefore, the perimeter around that area of the shape is 20 units.

3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape

$20+3\pi \\= 20+9.42\\= 29.42$

Therefore, the perimeter of the shape is approximately 29.42 units.

I hope this helps!

3 0

3 years ago

Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$