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3 years ago

Pls help 5 2 over 3 ÷ 3 over 2

Mathematics

1 answer:

Contact [7]3 years ago

8 0

17/3

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

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How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

<em><u>The length of arc when angle in radians is:</u></em>

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

4 0

3 years ago

A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate nu

Advocard [28]

I would be glad to help you, however what is the function?

8 0

3 years ago

What is the height of an equilateral triangle with side lengths of 15? round to tenths?

Vinil7 [7]

If this is an equilateral triangle, we need half of it to find the height which is a leg of a right triangle with a hypotenuse of 15. That means that the base of this half triangle is 7.5. Use Pythagorean's Theorem to fine the height. $x^{2} =(15) ^{2} -(7.5) ^{2}$ . x = 12.99 or 13

8 0

3 years ago

9. Given 8x+4y = 4, identify the slope and y-intercept.

Elden [556K]

Answer:

A) Slope = -2 and y-int = 1

Step-by-step explanation:

The easiest way to get the slope and y-intercept from an equation is to put it in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

So, let's subtract 8x from both sides, leaving 4y on the left side:

8x + 4y = 4 -> 4y = -8x + 4

Now, let's divide both sides by 4, so that we can have just y on the left side:

y = -2x + 1

-2 is the slope, and 1 is the y-intercept.

3 0

3 years ago

If triangle ABC Is dilated by a scale factor of 2.5 with a center of dilation at vortex be how does the area of A’B’C compared w

arlik [135]

Answer:

The area is 6.25 times greater.

Step-by-step explanation:

Each side of the triangle of the dilated triangle will be 2.5 times the length of the original sides.

The area will increase to 2.5^2 = 6.25 times.

7 0

3 years ago