Two step equations

Mathematics

1 answer:

svp [43]3 years ago

6 0

Answer:

Step-by-step explanation:

Since she now has 12, subtract 8 because of the 8 she before added.

Now, you're left with 4.

The 4 is half of what she originally had, leading up to the fact that the answer is 8.

Sally began with eight comic books.

You might be interested in

Is 6.041 bigger than 6.401

evablogger [386]

No it isn't

6.041
6.401

As you can see 0 isn't bigger than 4 in the tenths place

4 0

3 years ago

What is 528 1/5 - 89 3/5

sergiy2304 [10]

The answer is 438.6...
(528+1/5)-(89+3/5)=438.6

8 0

3 years ago

if cot theta = -24/7 and cos theta < 0, name the quad in which theta lies, then find the exact value of csc theta

NemiM [27]

Cot θ = -24/7 and cos θ < 0

"cos θ < 0" means cosine is negative

Remember osmething like "ALL students Take Calculus"?

all is positive in quadrant 1
sine/cosecant is positive only in quadrant 2
tangent/cotangent is positive only in quadrant 3
cosine/secant is positive only in quadrant 4

since cot(angent) is the reciprocal of tangent, tangent must also be negative.

tangent is negative in quadrants II and IV
cosine is negative in quadrants II and III

therefore, θ must lie in quadrant II.

remember the tan θ = y / x. it is the y-coordinate divided by the x-coodinate. the y-coordinate would be the height of this 90 degree triangle that forms. the x-coordinate would be the bottom leg of the 90 degree triangle

then cot θ = x / y. therefore, cot θ = -24 / 7 means x = -24 and y = 7. we draw a triangle with these dimensions.

csc θ = r / y = hypotenuse over opposite (when you view the reference angle labeled as the one to base the hypotenuse/oppoiste on) because it is the reciprocal of sine

the hypotenuse can be found w/ pythagorean theorem

hypotenuse = √[(-24)² + 7²] = 25

therefore,
cot θ = 25/7