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2 years ago

Please help, this is really important if you could show work that would be amazing :))

Mathematics

1 answer:

lara31 [8.8K]2 years ago

5 0

Step-by-step explanation:

step 1. x = 70° (alternate interior angles)

step 2. y = 90° (same side interior angles).

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If cos Θ = negative 4 over 7, what are the values of sin Θ and tan Θ?

FinnZ [79.3K]

Given cos theta is equal to - 4/ 7 then we can conclude that theta is in the second and third quadrants. In this case, the other leg is equal to square root of (7^2 - 4^2 ) equal to square root of 33. In this case, sin theta can be equal to +- square root of 33 / 7 and tan theta is equal to +-square root of 33 / 4.

7 0

3 years ago

What is the solution of this system of linear equations? 3y = 3 y equals StartFraction 3 over 2 EndFraction x plus 6.X + 6 y – S

Scrat [10]

Answer:

(0,6)

Step-by-step explanation:

The given system of equations is

$y = \frac{3}{2}x + 6$

and

$\frac{1}{2}y - \frac{1}{4}x = 3$

We substitute the first equation into the second equation to get:

$\frac{1}{2} ( \frac{3}{2}x + 6) - \frac{1}{4}x = 3$

We expand to get:

$\frac{3}{4} x + 3 - \frac{1}{4}x = 3$

We group similar terms to get:

$\frac{3}{4}x - \frac{1}{4}x = 3 - 3$

$\frac{1}{2}x = 0$

$x = 0$

Put x=0 in to the first equation to get:

$y = 6$

Therefore the solution is (0,6)

3 0

2 years ago

Read 2 more answers

A random sample has been selected from a population. The point estimate = 78.65 and margin of error E = 8.24 for a 90% confidenc

fiasKO [112]

Answer:

90% confidence interval: (70.41,86.89)

Step-by-step explanation:

We are given the following in the question:

Point estimate = 78.65

Margin of error, E = 8.24

Confidence level = 90%

Significance level = 10%

Formula:

$\text{Point estimate} \pm \text{Margin of error}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64$

$78.65 \pm 8.24 = (70.41,86.89)$

(70.41,86.89) is the required 90% confidence interval.

5 0

2 years ago

The function f(x) = 200(0.5)x/50 models the amount in pounds of a particular

victus00 [196]

<u>Answer:</u>

29 years

<u>Step-by-step explanation:</u>

Given the function $f(x)= 200(0.5)^{\frac{x}{50} }$ , where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.
Another way of doing this is to change the function to $f(x)=200(0.5^{\frac{1}{50} })^{x}$ which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate.
I'll use the 1st function because the question doesn't ask for the rate

$f(x)= 200(0.5)^\frac{140}{50}}$

From here I'll just use a calculator & get 28.7, or 29 years.

4 0

1 year ago

Use a number line to add:

Jobisdone [24]

Start at 14 on the number line. Since 25 is negative you’re going to be moving to the left. After 14 hops you’ll reach zero, you’re adding -25 so you’ll have to reach a total of 25 hops to the left. You have moved so far 14 hops so you still have 11 to go. Moving 11 more hops to the left results in -11. Now you have reached the total number of hops 25, the negative sign indicated you were moving towards the left. So 14+(-25)=-11

8 0

2 years ago