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3 years ago

100 points

1 answer:

8 0

Answer: 1) A probability scale. A probability scale looks like a number line, with 0 and 1 at either end. The 0 is labelled "Impossible", as there is 0 chance of it happening. The 1 is labelled "Certain", as it will definitly happen.

Step-by-step explanation:

and btw u only gave away 5 points

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Proove that <br>1/1-sin theta + 1/1+cos theta = 2×sec square theta

Rina8888 [55]

Step-by-step explanation:

We need to prove that,

$\dfrac{1}{1-\sin\theta}+\dfrac{1}{1+\sin\theta}=2\times \sec^2\theta$

Taking LHS,

$\dfrac{1}{1-\sin\theta}+\dfrac{1}{1+\sin\theta}\\\\=\dfrac{(1+\sin\theta)+(1-\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}\\\\=\dfrac{2}{1-\sin^2\theta}\\\\\text{As}\ 1-\sin^2\theta=\cos^2\theta\\\\=\dfrac{2}{\cos^2\theta}\\\\\text{As}\ \dfrac{1}{\cos^2\theta}=\sec^2\theta\\\\=2\sec^2\theta\\\\=RHS$

Hence, LHS = RHS.

4 0

3 years ago

NEED ASAP NEED TO RURN IN FAST!!! WILL MARK *BRAINLIEST*

Travka [436]

Answer:

Step-by-step explanation:

We know that:

-measuring a cone
-diameter: 18 units
-height: 8 units

We need to know how to find the volume of this cone. To do this, we need the equation to find the volume of a cone:
$V= \pi r^2\frac{h}{3}$ where r=radius and h=height

Upon assessing this equation we also now know that we are missing a radius.

For a circle, the radius is the distance from the midpoint, center, to the border of the circle. The diameter is the distance from the border of one circle to another, passing through the midpoint. Knowing this, we can conclude that the diameter is two times the radius.

Using this information we can figure out the radius for this cone: 9 units.

Now that we have the radius, we can plug in the rest of the numbers with the correct placements.

$V= \pi 9^2\frac{8}{3}$ square the 9 by calculating 9 times 9.

$V=\pi*81*\frac{8}{3}$ combine like terms and keep pi separate.

V=216 $\pi$ cubic units
Since this problem is asking for volume, we will used cubic units.

6 0

2 years ago

Read 2 more answers

Let Angle w be an acute angle. Use a calculator to approximate the me

serious [3.7K]

Answer:

Step-by-step explanation:

Given the trigonometry function as shown sin W = 0.79, to get W, the following steps must be followed.

Step 1: Take the arcsin of both sides of the equation

$sin^{-1}(sinW) = sin^{-1}0.79\\W = sin^{-1}0.79$

Step 2: Use a calculator to get the resulting value of W

$W = 49.46^{0}$

$W = 49.5^{0}$ (to nearest tenth of a degree)

This gives the acute angle needed.

Note that acute angle are angles that are less than 90°

8 0

3 years ago

4. Solve the following system of equations for x.

Ber [7]

We are given the system of equations -:

$\large{ \begin{cases} 2x + 3y = - 14 \\ y = 6x + 22 \end{cases}}$

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

$\large{2x + 3(6x + 22) = - 14}$

Expand 3 in the expression so we can combine like terms and isolate x-variable.

$\large{2x + 18x + 66 = - 14}$

Then combine like terms.

$\large{20x + 66 = - 14}$

Get rid of 66 from the left side by subtracting both sides by itself.

$\large{20x + 66 - 66 = - 14 - 66} \\ \large{20x = - 80}$

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

$\large{ \frac{20x}{20} = \frac{ - 80}{20} }$

Simplify to the simplest form.

$\large{x = - 4}$

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0

3 years ago

Last year there were 225 employees and 25 supervisors at Corpcon Company. If 27 more employees are hired, how many supervisors n

MrRa [10]

In order to solve this, you need to put it into a fraction form.

First for every 225 employees there's 27 supervisors.
25 x
___ = ___
225 252

I got the 252 by adding 225+27(who are the new employees)

So then you need to cross multiply. And get them to equal the same number.

So 25×252= 6,300
Then Divide 6,300 by the old denominator 225.
6,300÷225= 28 new employees

Therefore there will be a total of 28 employees.

Hope this helped!

5 0

3 years ago