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3 years ago

Find the perimeter of a rectangle with a length of 4x + 2 and a width of 2x

Mathematics

2 answers:

daser333 [38]3 years ago

6 0

4x+2+2x=6x+2 which is the same as 12x+4

snow_tiger [21]3 years ago

4 0

Answer:

12x+4

Step-by-step explanation:

To find the perimeter of any shape you just have to take the sum of all the sides.

In this case you would write:

4x+2 (side 1) +2x (side 2) +4x+2 (side 3) +2x (side 4)

Now you just have to simplify the expression which would give you:

12x+4 (after collecting like terms)

So the final answer will be 12x+4

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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

3 years ago

Please help as fast as you cannn

hodyreva [135]

Answer:

-43 < -35

(Negative 43 is less than negative 35).

8 0

3 years ago

The circumference of a circle is 29.83 cm. What are the radius and diameter, respectively? Use 3.14 for pi.

nasty-shy [4]

Answer:

Diameter: 9.5

Radius: 4.75

Step-by-step explanation:

To find the diameter you divide the circumference by pi(3.14) and to find radius you divide the diameter by 2 since the radius is half of the diameter.

Hope this helps you

7 0

2 years ago

As a table tennis tournament, two games went on for a total of 32 minutes. One game took 12 minutes longer than the other. How l

harina [27]

Multiply it and you get the answer

3 0

3 years ago

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.

erma4kov [3.2K]

Answer:

y = x² - 8x + 17

Step-by-step explanation:

Recall this formula:

y = a(x-h)² + k

Original equation was y = x², which in this form looks like

y = 1(x - 0)² + 0

If the shape of the graph didn't change, that means that a (the compressor/intensifier) stayed the same (a - value) meaning we can write the equation as..

y = (x-h)² + k

Remember, (h, k) is the vertex, which looking from your graph is at (4, 1)

y = (x - 4)² + 1

y = x^2- 8x + 16+1

y = x² - 8x + 17

8 0

3 years ago