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3 years ago

Is 40 a multiple or a factor

1 answer:

5 0

Hey there!
It can be both. It's a multiple of 8 because 8 times 5 is 40, but it's also a factor of 120 because 80 times 3 is 120.
Hope this helps!

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Find the value of x in the equation x+3x-4=6

dusya [7]

X=2.5
i got it right

4 0

3 years ago

1. Find sinθ if cosθ=1/2 and θ terminates in Quadrant IV.

Neko [114]

Answer:-(√3)/2, (√2)/2, -√3, and undefined

Step-by-step explanation:

There are two ways you can solve this. One is with the Pythagorean identity:

sin²θ + cos²θ = 1

The other way is by knowing your unit circle.

1. From the unit circle, we know that cos θ = 1/2 at θ = π/3 and θ = 5π/3. Since θ is in Quadrant IV, then θ = 5π/3. sin (5π/3) = -(√3)/2.

We can check our answer using the Pythagorean identity:

sin²θ + cos²θ = 1

sin²θ + (1/2)² = 1

sin²θ + 1/4 = 1

sin²θ = 3/4

sin θ = ±(√3)/2

Since sine is negative in Quadrant IV, sin θ = -(√3)/2.

We can repeat these steps for the other questions.

2. sin θ = (√2)/2 at θ = π/4 and θ = 3π/4. Since θ is in Quadrant I, θ = π/4. Therefore, cos θ = (√2)/2.

3. cos θ = -1/2 at θ = 2π/3 and θ = 4π/3. Since θ is in Quadrant II, θ = 2π/3. Therefore, sin θ = (√3)/2, and tan θ = sin θ / cos θ = -√3.

4. sin θ = -1 at θ = 3π/2. Therefore, cos θ = 0. tan θ = sin θ / cos θ, so tan θ is undefined.

6 0

3 years ago

HELP!!!!! I will gove brainliest

Stells [14]

Answer:

what do u need help on?

Step-by-step explanation:

i don't know what u need help with

6 0

3 years ago

If the square of a number is added to 8 times the number, the result is 100.

klasskru [66]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

If the square of a number is added to 8 times the number, the result is 100. Find x.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Let's take the number as 'x'.

Square of x = x²
8 times x = 8x

We are given that, 8x + x² = 100

Now, let's solve for x.

__________________

$8 x + x ^ { 2 } = 100$

Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form x²+bx=c.

$x^{2}+8x=100$

Divide 8, the coefficient of the x term, by 2 to get 4. Then add the square of 4 to both sides of the equation. This step makes the left-hand side of the equation a perfect square.

$x^{2}+8x+4^{2}=100+4^{2}$

Square 4.

$x^{2}+8x+16=100+16$

Add 100 to 16.

$x^{2}+8x+16=116$

Factor x²+8x+16. In general, when x²+bx+c is a perfect square, it can always be factored as $\left(x+\frac{b}{2}\right)^{2}$ .

$\left(x+4\right)^{2}=116$

Take the square root of both sides of the equation.

$\sqrt{\left(x+4\right)^{2}}=\sqrt{116}$

Simplify.

$x+4=2\sqrt{29} \\ x+4=-2\sqrt{29}$

Subtract 4 from both sides of the equation.

$\huge \boxed{ \boxed{ \bf \: x=2\sqrt{29}-4 }}\\ \huge \boxed{\boxed{ \bf \: x=-2\sqrt{29}-4 }}$

x can be either of these values.

5 0

3 years ago

Katie keeps a record of her transactions in a notebook. Looking over her records for the past two weeks, Katie finds that her ba

Colt1911 [192]

C: Katie’s new chair was on sale for 15% off, making it cost $137.32, but Katie wrote down the before-sale price.

i just took this test and got it right.

5 0

3 years ago

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