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4 years ago

Simplest form of 502 over 63

1 answer:

4 0

502 and 63 have no common factors:

Factors of 63: 1, 3, 7, 9, 21, 63
Factors of 502: 1, 2, 251, 502

Therefore the simplest form of 502/63 is 502/63

You might be interested in

Write an expression to represent the perimeter of the figure below.

tangare [24]

Answer:

Using the equation below just add like terms:

P=a+b+c+d

5x+3x+x+4x

=13x

-2+1+3

13x+2

7 0

3 years ago

hal forgot the number of people at the basketball game. he does remember that number had a 3 in the tens place. which number cou

Andrei [34K]

There could have been 31 people at the game. Or there could have been 13 million 642 thousand 837 of them. There are a lot of other possibilities too. Can you find some more without help ?

3 0

3 years ago

Prove it. this question is from trigonometry

konstantin123 [22]

Answer:

See below for step-by-step proof.

Step-by-step explanation:

$\textsf{Given expression}:$

$\cos^6 \theta+\sin^6 \theta$

$\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:$

$\implies (\cos^2 \theta)^3+(\sin^2 \theta)^3$

$\textsf{Use the identity}\quad a^3+b^3=(a+b)^3-3ab(a+b):$

$\implies (\cos^2 \theta+\sin^2 \theta)^3-3 \cos^2 \theta\sin^2 \theta (\cos^2 \theta+\sin^2 \theta)$

$\textsf{Use the identity}\quad \sin^2 \theta + \cos^2 \theta=1:$

$\implies (1)^3-3 \cos^2 \theta\sin^2 \theta (1)$

$\implies 1-3 \cos^2 \theta\sin^2 \theta$

$\implies 1-3 (\cos \theta\sin \theta)^2$

$\textsf{Use the identity}\quad \sin 2 \theta=2 \sin \theta \cos \theta \implies \dfrac{1}{2}\sin 2 \theta= \sin \theta \cos \theta:$

$\implies 1-3 \left( \dfrac{1}{2}\sin 2 \theta\right)^2$

$\implies 1-\dfrac{3}{4} \sin^2 2 \theta$

$\textsf{Use the identity}\quad \sin^2 2\theta + \cos^2 2\theta=1 \implies \sin^2 2\theta=1-\cos^2 2\theta$

$\implies 1-\dfrac{3}{4} \left(1-\cos^2 2 \theta\right)$

$\implies 1-\dfrac{3}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\implies \dfrac{1}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\textsf{Factor out }\dfrac{1}{4}:$

$\implies \dfrac{1}{4}\left(1+3\cos^2 2 \theta\right)$

$\textsf{Use the identity}\quad \cos (4 \theta)=2 \cos^2 2\theta - 1 \implies \cos^2 2 \theta=\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}:$

$\implies \dfrac{1}{4}\left(1+3\left(\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}\right)\right)$

$\implies \dfrac{1}{4}\left(1+\dfrac{3}{2}\cos 4 \theta+\dfrac{3}{2}\right)$

$\implies \dfrac{1}{4}\left(\dfrac{5}{2}+\dfrac{3}{2}\cos 4 \theta\right)$

$\implies \dfrac{1}{4} \cdot \dfrac{1}{2}\left(5+3\cos 4 \theta\right)$

$\implies \dfrac{1}{8}\left(5+3\cos 4 \theta\right)$

6 0

2 years ago

7,5 +-7,5+-7-2+7-2 what is the perimeter

garik1379 [7]

If you add them all up it would be 6.

7 0

4 years ago

A cab company charges three dollars per cab ride plus an additional two dollar per mile driven how long is a cab ride that cost

Sav [38]

If the ride cost $9 then the miles will be 3 miles.

Step-by-step explanation:

In this question we are given:

Cost of one cab ride R = $3

Additional Cost per mile M = $2

So, Total cost of Cab Ride = $3 + $2M

If cost of cab ride is $9 then we need to find the miles

$3 + $2M = $9

Solving

$2M = $9 - $3

$2M = $6

=> M = $6/$2

M = 3 miles

So, if the ride cost $9 then the miles will be 3 miles.

Learn more:

You can find more information at:

brainly.com/question/11207748

brainly.com/question/1600376

Keywords: algebraic expressions, solve an equation

#learnwithBrainly

6 0

4 years ago