Consider the point on the polar graph below.



Represent the point's location in the polar form (r,θ) where 0≤r<50 and 0≤θ<2π.
(r,θ)=

Represent the point's location in the polar form (r,θ) where 0≤r<50and 2π≤θ<4π.
(r,θ)=

Represent the point's location in the polar form (r,θ) where 0≤r<50and −2π≤θ<0.
(r,θ)=


​

Answer:

42.50 units²

Step-by-step explanation:

Area of the trapezoid = ½(AB + DC)×AD

AB = 6

DC = 11

AD = ?

Use trigonometric function, TOA to find AD:

Tan 45 = Opp/Adj

Opp = AD

Adj = 11 - 6 = 5

Tan 45 = AD/5

5 × tan 45 = AD

AD = 5

✔️Find Area of trapezoid.

Area = ½(AB + DC)×AD

= ½(11 + 6)×5

= 42.50 units²

Answer:

351.9 m²

Step-by-step explanation:

[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder

We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).

Plug in 4 as r and 10 as h

[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]

Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.

I hope this helps!

Answer:

the first option

Step-by-step explanation:

for a number to be rational, it should be able to be expressed as a fraction.  Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction

Answer:

Step-by-step explanation:

it’s the first one

Answer:

no solution

Step-by-step explanation:

|x-33| = -33

An absolute value must be greater than or equal to zero

The right hand side is a negative number.

There is no solution

Answer:

No solution

Step-by-step explanation:

When you do the absolute value, it is equal to a negative number. Which does not make sense so no solution

Answer:

[tex]\frac{1}{25} =0.04[/tex] (Unusual)

Step-by-step explanation:

1/5 for one drawing

1/5 chance to win once, if there is only one game.

Then multiply them together to get 1/25.

If you need in decimal form 1/25 = 0.04 (unusual)

If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

An individual can win a prize by drawing the highest numbered card out of five cards.

Given that an individual makes 7 draws

p = 1/5  =  0.2

q = 1-P =0 .5

5 times corresponds to B( 7 , 0.2)

P(x = 2) = 7 C₂ (0.7)² (0.8)⁵

= 21 * 0.04 * 0.3277

= 0.2753

Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

To know more about Permutation and Combination

https://brainly.com/question/13387529

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Answer:

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Only 2 of the 11 companies were planning to increase their workforce

This means that [tex]n = 11, \pi = \frac{2}{11} = 0.182[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331[/tex]

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.

Answer:

b

Step-by-step explanation:

Answer:

There is evidence that teacher at Woodlands Middle May prefer the aquarium more than students

Step-by-step explanation:

There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population.

Poll oftenly uses sampling.

The data obtained from the poll shows that:

20% of the students prefer the aquarium and 50% of the teachers the

aquarium.

That means, from the poll, we found that out of total students, 20% prefer aquarium whereas 50% of total teacher prefer aquarium.

Since we conclude from sampling only as this is the usual way we do conclusion about population, and since percentage shows that less students' proportion prefer aquarium than the proportion of teachers prefering aquarium, thus,

There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.

Learn more about sampling here:

https://brainly.com/question/24842573

Answer:

0.70L

Step-by-step explanation:

3m=2b

convert 8 b to mugs

therefore 8b=12m

12m+10m=22m

15.4/22=0.700l

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

__

If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

Answer:

B 5 meters per second

Step-by-step explanation:

Pick two points on the graph, and find the slope.

For example, you can use the points

(0, 8500) and (1700, 0)

slope = (difference in y)/(difference in x)

slope = (0 - 8500)/(1700 - 0) = -8500/1700 = -5

The slope is negative because the plane was losing altitude as it descended.

It descended at a rate of 5 meters per second.

Answer: B 5 meters per second

Answer:

B. 5 meters per second

Step-by-step explanation:

slope=8500÷1700=5

Plane descended at the rate of 5 meters per second.

hope it helps

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Answer: No because that is not always true.

Explanation:

I hope this helped!

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Answer:

I think it's 40 . I'm not sure

Answer:

0.6 liter per kilo

Step-by-step explanation:

Step-by-step explanation:

112=35+d

112-35=d

d=77

Answer:

B.

Step-by-step explanation:

Its meh best guess

Answer:

B.

Step-by-step explanation:

I think it is B

Answer:

In the last task, the result is 17+3x/6

Step-by-step explanation:

X+5/3 - 2x-7/6 + x/2

2(x+5)-(2x-7)+3x /6

2x+10-2x+7+3x /6

17+3x/6

I dunno this task above, I hope this one is correct :))

Answer:

(1) 5.23599

(2) 0.314159

(3) 1.8326

Answer:

Step-by-step explanation:

To factorise

3x² - 6x

3x² - 6x

[Taking common term out]

= (3x × x) - (3x × 2)

= 3x ( x - 2)

Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)

Answer:

subtract inside the parentheses

Step-by-step explanation:

According to pemdas. It is parenthesis first so you subtr what’s inside first

Answer:

Subtract inside the parenthesis

Step-by-step explanation:

For this problems you have to follow PEMDAS which stand for

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

in that order

Answer:

x-inter = (-40,0), y-inter= (0,15)

Step-by-step explanation:

the fitnessgram pacer test is an automated aerobic capacity test that progressively gets more difficult as it continues.

Answer:

10.47 inches

Step-by-step explanation:

circumference = πD = 3.14(20) = 62.8 inches

62.8 inches/6 spaces = 10.47 inches per space

Answer:

B 50

Step-by-step explanation:

Option 1) 2/5 = 20/x  |  20/2 = 10 so x = 10  |  5 times x 10 =50

Option 2) dogs 2 to cats 5  |  2/5 = 20/x  |  .40 = 20/x  |  .40x = 20  |  x = 50

Option 3) you can look and see that 20 is 10 times more than 2 and therefore infer that x is 10 times more than 5 which is 50

Answer:

Answer:

C, 10h + 0.15s

Step-by-step explanation:

he earns 10 dollars per hour so 10h

he earns 15% or .15 per sale so .15s

add them together to get 10h + 0.15s

Answer:

Answer and steps in picture.