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3 years ago

Find the value of M in the following equation 7=m*12

Mathematics

1 answer:

Ludmilka [50]3 years ago

3 0

Step-by-step explanation:

7=m*12

divide the equation by 12

7/12=12m/12

7/12=m

if you meant to type 7=m^12

then the answer for m is 7^(1/12)

which is 1.1760

Hope that helps :)

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Given right triangle MNL, what is the value of cos(M)? Three-fifths Three-fourths Four-fifths Five-thirds

lidiya [134]

By applying the Pythagorean Theorem and the Trigonometry ratio, CAH, the value of cos(M) = 4/5

Recall:

Trigonometry ratios, SOH CAH TOA can be applied to solve a right triangle.

Pythagorean Theorem can also be applied which is: c² = b² + a², where c is the longest side (hypotenuse length).

Given:

ΔMNL is a right triangle

ML = 25

NL = 15

Find MN using the Pythagorean Theorem:

MN = √(ML² - NL²)

MN = √(25² - 15²)

MN = 20

To find the value of cos(M), apply the trigonometry ratio, CAH, which is:

cos ∅ = Adj/Hyp

Where,

∅ = M (reference angle)

Hypotenuse = ML = 25

Adjacent = MN = 20

Plug in the values:

cos(M) = 20/25

cos(M) = 4/5

Learn more about Trigonometry ratios on:

brainly.com/question/10417664

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3 years ago

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Crank

Answer:

Part 1: Angle = 154.3°

Part 2: About 2.33 Rotations

Step-by-step explanation:

Part 1:

The arc length of a circle is given by the formula $s=r\theta$

Where

s is the arc length
r is the radius of the circle
$\theta$ is the angle

**The angle are in radians and we will use radian**

When smaller gear has made 1 complete rotations ( $2\pi$ radians), the arc length traveled is $s=r\theta\\s=(3)(2\pi)\\s=6\pi$

Now, what angle is swept by the larger circle when it travels $6\pi$ ? Put in $s=6\pi$ and r is 7 to find $\theta$ :

$s=r\theta\\6\pi=(7)\theta\\\theta= \frac{6\pi}{7}$

** Since $\pi$ radians is 180°, we plug in 180 into $\pi$ and find the degree measure:

$\frac{6\pi}{7}=\frac{6*180}{7}=154.3$

Angle = 154.3°

Part 2:

In one complete rotation of the larger gear, it travels a distance of:

$s=r\theta\\s=(7)(2\pi)\\s=14\pi$

We know that the smaller circle makes 1 rotation and travels $s=r\theta=(3)(2\pi)=6\pi$ , so in $14\pi$ distance, it makes:

Rotations = $\frac{14\pi}{6\pi}=\frac{14}{6}=2.33$

About 2.33 Rotations

4 0

3 years ago

Nastasia [14]

Answer:

Step-by-step explanation:

D. the number of people eating a pizza and the number of slices per person. As this number increases, the number of slices each person can take drops.

4 0

3 years ago

Will mark brainliest!! Please help

Phoenix [80]

Answer:

f(x) = 2/x and g(x) = 2/x

f(g(x)) = f(2/x) = 2/(2/x) = x

g(f(x)) = g(2/x) = 2/(2/x) = x

7 0

3 years ago

Y − 6 =3/5(x + 5); (0, 8)

Rom4ik [11]

The equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

<h3>Equation of a line</h3>

The equation of a line in point-slope form is expressed as;

y - y0 = m(x -x0)

where

m is the slope

(x0, y0) is the point on the line

Given the following parameters

Point (0,8)

Slope from the equation = 3/5

Substitute

y - 8 = 3/5(x - 0)
5(y -8) =3x

5y - 40 = 3x

5y - 3x = 40

Hence the equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

Learn more on equation of a line here: brainly.com/question/13763238

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2 years ago

Find the value of M in the following equation 7=m*12​

Find the value of M in the following equation 7=m*12