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3 years ago

How do you do to the 2nd power

1 answer:

4 0

Something to the second power is simply that number multiplied by itself once. The third power is something multiplied by itself 2 times, and so on

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Which trigonometric ratios are correct for triangle ABC? Check all that apply

sergij07 [2.7K]

Consider an angle M with measure m≠90°, in a right triangle.

Let

OPP denote the length of the side opposite to M,
ADJ denote the length of the side adjacent to M, and
HYP denote the hypotenuse.

then:

Sin(M) = OPP/HYP
Cos(M)= ADJ/HYPP
Tan(M)=OPP/ADJ

Back to our problem,

using the Pythagorean we can find the length of AB:

$|AB|^2+|AC|^2=|BC|^2\\\\|AB|^2+9^2=18^2\\\\|AB|^2=18^2-9^2\\\\|AB|^2=(18-9)(18+9)=9 \cdot 27=9 \cdot 9 \cdot3\\\\|AB|=9 \sqrt{3} 
$

$Sin(C)= \frac{OPP}{HYP}=\frac{9 \sqrt{3} }{18}= \frac{ \sqrt{3} }{2}$
$Cos(B)= \frac{ADJ}{HYP}= \frac{9 \sqrt{3}}{18}= \frac{ \sqrt{3}}{2}$
$Tan(C)= \frac{OPP}{ADJ}= \frac{9 \sqrt{3} }{9}= \sqrt{3}$
$Sin(B)= \frac{OPP}{HYP}= \frac{9}{18}= \frac{1}{2}$
$Tan(B)= \frac{OPP}{ADJ}= \frac{9}{9 \sqrt{3}}= \frac{1}{ \sqrt{3} }= \frac{ \sqrt{3}}{3}$

Answer: 1, 3, 4

5 0

3 years ago

The force F of gravity on a rocket varies directly with its mass m and inversely with the square of its distance d from Earth. W

xz_007 [3.2K]

Model for the Combined variation is $F = \frac{km}{d^{2} }$

Equation to find the mass of the rocket in terms of F and d is :

$m=\frac{F d^{2} }{k}$

<h3>What is Force ?</h3>

A force is the quantity that change the motion of the object. Force is that influence which can cause any object having some mass, to change it's position or to accelerate from it's original position.

Force (F) and mass (m) of any object are directly proportional to each other. More the mass of the object , more the force will require to accelerate it.

Mathematically, we can write the equation of force as :

F = m . a

where , m = mass of the object

a = constant value

In the statement given,

As, force of gravity varies directly with its mass

Therefore, F= k m , where k is a constant

Also force is inversely varies with square of distance d

Thus, F = k / d²

Combining both equations :

$F = \frac{km}{d^{2} }$

and the equation of mass in terms of F and d can be written as :

$m=\frac{F d^{2} }{k}$

To know more about Force and it's equation, visit :

brainly.com/question/14857727

#SPJ4

7 0

1 year ago

Help Me With The Red Marking On It

Nadusha1986 [10]

The answer is A you times base times height divided by 2

3 0

4 years ago

Put into slope intercept form:(-4, 1); m= -2/3

zaharov [31]

Y = mx + b
slope(m) = -2/3
(-4,1)...x = -4 and y = 1
now we sub and find b, the y int
1 = -2/3(-4) + b
1 = 8/3 + b
1 - 8/3 = b
3/3 - 8/3 = b
-5/3 = b

so ur equation is : y = -2/3x + (-5/3) which can be written as : y = -2/3x - 5/3

7 0

3 years ago

Express each fraction as a decimal <br><br> 1. 2/5<br><br> 2. 50/100

ololo11 [35]

Answer:

0.4
0.50 or 0.5 (they're the same)

8 0

3 years ago