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2 years ago

Point A is at-4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?

Mathematics

1 answer:

galben [10]2 years ago

7 0

The point that divides AB into a 3:2 ratio is calculated by (d) for a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2

<h3>How to determine the ratio?</h3>

The given parameters are:

A = -4

B = 6

Start by calculating the length AB using:

AB = |B - A|

This gives

AB = |6 -(-4)|

Evaluate

AB = 10

Next, the length is divided into 5 parts.

So, the length of each part is:

Length = 10/5

Length = 2

The point on the location 3 : 2 is then calculated as:

Point = A + 3 * Length

This gives

Point = -4 + 3 * 2

Evaluate

Point = 2

The above computation is represented by option (d)

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Common factor of 54z^3 and 18z and 36z^2

likoan [24]

Answer:

18z

Step-by-step explanation:

The highest common factor of 54, 18 and 36 is 18

The highest common factor of z³, z and z² is z

The highest common factor of 54z³, 18z and 36z²

is therefore 18z

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4 years ago

What is the length of Line segment A B? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is a right angle and an

Amiraneli [1.4K]

Answer:

D.) 38.6 m

Step-by-step explanation:

Use the cosine ratio:

$cosine=\frac{adjacent}{hypotenuse}$

Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:

$cos75=\frac{10}{x}$

Now isolate the variable. Multiply both sides by x:

$x(cos75)=x(\frac{10}{x} )$

The x's on the right side cancel each other out. Simplify:

$x*cos75=10$

Now divide both sides by cos75°:

$\frac{x*cos75}{cos75} =\frac{10}{cos75}$

The cos75° on the left side cancels each other. Simplify:

$x=\frac{10}{cos75}$

Insert this value into a calculator to simplify the value of x:

$x=38.6$

The hypotenuse is 38.6 m.

:Done

3 0

3 years ago

A gym has an inclined treadmill for joggers, as shown in the figure.

trapecia [35]

We know that
in a right triangle
cos θ=adjacent side angle <span>θ/hypotenuse
in this problem

</span>adjacent side angle θ=38 in
hypotenuse=40 in

cos θ=38/40
θ=arc cos (38/40)-------> 18.19°-------> 18°

the answer is
18 degrees

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3 years ago

PLEASE HELP ME ILL MAKE BRAINLIEST!!!!! <br> I need the correct answer

guajiro [1.7K]

Answer:

56.7

Step-by-step explanation:

Hello There!

<u>Trigonometric Ratios</u>

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length and the hypotenuse

so the trigonometric ratio we need to use is sin

knowing that sin = opposite side divided by hypotenuse we create an equation

$sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659$

our final step is to round to the nearest tenth of a degree

so we can conclude that the measure of angle A is 56.7

note: arcsin = inverse of sin

8 0

3 years ago

Read 2 more answers

How many centimeter squares would be wrapped around this rectangular prism?

denis23 [38]

You haven't told us whether the rectangular prism is the size of a pack of gum or more like the size of a cruise ship.

Whatever size it is, here's the number of centimeter squares you need to cover the whole outside of it:

(2 x length x width) + (2 x length x height) + (2 x width x height)

with all measurements made in centimeters.

4 0

3 years ago