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4 years ago

Simplify for a lot of points (1-sin^2x)(1-tan^2x)

1 answer:

6 0

1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x

=1
this simplifies to 1.

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What is the product of a number and 14 plus 10, written as an algebraic expression?

algol [13]

The expression written as an algebraic expression is 14x+10

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2 years ago

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Step-by-step explanation:

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3 years ago

1) Jayden runs 1/4 of a mile in 1/4 of an hour. How far will it take him to run 1hr.

Masja [62]

Answer:

Question 1 : If you mean how many miles will he run in 1 hour then it is 1 Mile | Question 2 : 2 Miles

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Question 1 :

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3 years ago

Ivanna is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a num

saul85 [17]

Answer:

The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.

I guess that we want to find the expected value in one spin:

number 1: wins $1

number 2: wins $3

number 3: wins $5

number 4: wins $7

number 5: losses $8

number 6: loses $8

The expected value can be calculated as:

Ev = ∑xₙpₙ

where xₙ is the event and pₙ is the probability.

We know that the probability for all the events is 1/6, so we have:

Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0

So the expected value of this game is $0, wich implies that is a fair game.

8 0

3 years ago

What is the solution for the following equation?<br> x^2-6x+9=11

tankabanditka [31]

Make one side equal zero
minus 11 to both sides
x^2-6x-2=0
another quadratic equation

if you hahve
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

1x^2-6x-2=0
a=1
b=-6
c=-2

x= $\frac{-(-6)+/- \sqrt{(-6)^{2}-4(1)(-2)} }{2(1)}$
x= $\frac{6+/- \sqrt{36+8} }{2}$
x= $\frac{6+/- \sqrt{44} }{2}$
x= $\frac{6+/- 2\sqrt{11} }{2}$
x= $3+/- \sqrt{11}$
x= $3+ \sqrt{11}$ or $3- \sqrt{11}$

aprox
x=6.31662 or -0.316625

4 0

3 years ago