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Answer:

21 units²

Step-by-step explanation:

the area of a circle is

pi×r²

the lateral area of a cylinder is the area only if the "mantle" of the cylinder : the round area all around the cylinder in its side.

in other words : everything but the ground and the top area.

how can we get the area of the side "mantle" ?

we can imagine, we take a knife and cut a straight line (and at 90°) from the top to the bottom, and then cut off the ground and the top circles by cutting along their circumference.

what do we get ?

if we put that remaining area in the table and press it flat, it is ... a rectangle. simply a rectangle.

its width is the height of the cylinder (the length of our initial top-bottom cut).

and its length is the length of the circle circumference that e just cut off.

and the circumference of a circle is

2×pi×r

so, the lateral area of the cylinder is

2×pi×r × h

r being the radius

h being the height of the cylinder.

and we get

LA = 2×pi×r×r = 882×pi

pi × r² = 441 × pi

r² = 441

r = 21 units²

Answer:

Step-by-step explanation:

Option 1: 1000 + 2000 + 1238

Option 2: 1500 + 1700 + 2038

Answer:

hotdog is $1.25

hamburger is 1.75

Step-by-step explanation:

Answer:

15,000(0.81)^x

Answer:

the angle is equal to 60 degrees

Answer: the angle is equal to 60 degrees

Step-by-step explanation:

Answ2

Step-by-step explanati

Answer:

a)

Step-by-step explanation:

Hope it helps

Answer:

A

Step-by-step explanation:

I’m pretty sure it is A

because there is one clustered inside of the data

4 servings = 1/3 cups

| ×7.5 |×7.5

30 servings=7.5/3 cups

=2.5 cups

= 2 1/2c

ANSWER: y = 1

STEPS:

first, find the slope by using the formula

which is also represented as m

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

where from point (-8, 1) x1 is -8 and y1 is 1

then from point (7, 1) x2 is 7 and y2 is 1

so we substitute into the formula

[tex] \frac{1 - 1}{7 - ( - 8)} = \frac{0}{7 + 8} = \frac{0}{15} [/tex]

[tex]m = \frac{0}{15} [/tex]

Then we solve for the equation of the line by using the formula

[tex](y - y1) = m(x - x1)[/tex]

but we have only y1, m and x1 so we substitute given us

[tex](y - 1) = \frac{0}{15} (x - ( - 8))[/tex]

but also, we must get rid of the fraction 0/15

so we multiply through by the denominator 15

[tex]15 \times (y - 1) = 15 \times \frac{0}{15} (x - (8))[/tex]

we get

[tex]15(y - 1) = 0(x - ( - 8))[/tex]

now we expand all brackets

[tex]15y - 15 = 0[/tex]

but we want the equation so we make y stand alone

[tex]15y = 15 \\ \\ \frac{15y}{15} = \frac{15}{15} \\ \\ y = 1[/tex]

the equation of the line is y=1

The slope of the perpendicular line would be the negative reciprocal of the other line.

negative reciprocal of 1/2 = -2

answer: -2

Answer:

10 ml

Step-by-step explanation:

500 mg /  ( 250 mg /5 ml) = 10 ml

Answer:

57.02 dollars

Step-by-step explanation:

850 * 14/12 * .0575 =

The required, Jordan had to pay $53.03 in interest on her loan.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

here,
To find the amount of interest Jordan had to pay, we can use the simple interest formula,

I = P  × r × t

Where I is the amount of interest, P is the principal (the initial amount of the loan), r is the annual interest rate as a decimal, and t is the time in years.

In this case, P = $850, r = 0.0575 (5.75% expressed as a decimal), and t = 14/12 (since the loan was for 14 months, which is 1 year and 2 months or 1.16667 years).

Substitute the value in equation 1.

I = $850 × 0.0575 × 14/12

= $57.02

Therefore, Jordan had to pay $53.03 in interest on her loan.

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Answer:

The third coin also has a 1 in 2 or 1 2 chance of matching the coin on the first toss. Therefore the probability of tossing three coins and getting all heads or all tails is: 1 × 1 2 × 1 2 = 1 4 = 0.25 or 25% We can also show this from the results table below: There are 8 possible outcomes for tossing three coins.

Step-by-step explanation:

Answer:

40 m^3

Step-by-step explanation:

Volume of a pyramid =  1/3 * base area * height

  base area = 4 x 4

1/3 * (4x4) * 7.5 = 40 m^3

Answer:

C 2/3

Step-by-step explanation:

There are only three names and two of them are boys sooo 2/3

Answer:

960 in squared

Step-by-step explanation:

[tex]\sqrt{16^{2} +12^{2} }[/tex]=20

4*[tex]\frac{1}{2}[/tex]*24*20=960

Answer and Explanation:

B, because a rectangle has 2 pairs.

Theoretically, D could also be correct, but not in every scenario; all rectangles are parallelograms, but not all parallelograms are rectangles.

Answer:

A is your answer! All I did was look for the volume of the cylinder, and the volume of a sphere. Then, you just add them together! Have a great day!

Step-by-step explanation:

Answer:

8/12 and 9/12

Step-by-step explanation:

hope this helps loves x

Answer: 9

Step-by-step explanation:

=> 1/4 of 36

=> 'of' always refers to multiplication:

=> 1/4 × 36

=> By cross cancellation of 4 and 36 we get:

=> 1 × 9

=> 9 Answer...

hope that helps...

there is no image here, no one can't answer u until u upload the image

Answer:

7

Step-by-step explanation:

We found the factors and prime factorization of 34 and 49. The biggest common factor number is the GCF number.

So the greatest common factor 34 and 49 is 7.

Answer:

1

Step-by-step explanation:

Factors of 34 are going to be 1, 2, 17, and 34.

Whilst the factors of 49 are 1, 7, and 49. They do not share any other factor other than 1

Answer: No cheating

Step-by-step explanation: Cheating isn’t allowed

Answer:

Step-by-step explanation:

hello :

the coordinates of the point on the unit circle at the given angle.-225°:

x= cos(-225°)= -√2/2

y = sin (-225°)= √2/2

The coordinates of the point on the unit circle at an angle -225°° are [tex](\frac{-\sqrt{2} }{2} , \frac{\sqrt{2}} {2} )[/tex].

" The coordinates of the point is defined as the pair of such points which represents the exact location of the point."

" Unit circle means a circle with radius equals to 1unit."

Formula used

Equation of the circle with center (0, 0) and radius r

[tex]x^{2} +y^{2} =r^{2}[/tex]

Coordinates of the point on the circle (rcosθ , rsinθ)

cos(-θ) = cosθ

sin (-θ) = -sinθ

cos ([tex]\frac{3\pi }{2}[/tex] -θ) = -cosθ

sin ([tex]\frac{3\pi }{2}[/tex] -θ) = -sinθ

According to the question,

Given θ = -225°

Unit circle 'r' = 1

Therefore Coordinates are,

'x' coordinates represented by  rcosθ

'y' coordinates represented by  rsinθ

Substitute the value of r and θ in the coordinates of the point we get,

x = rcosθ

 = 1 × cos (-225°)

 = cos (225°)

 = cos ( 270° - 45°)

 [tex]=cos(\frac{3\pi }{2} -\frac{\pi }{4} )[/tex]                      

[tex]= - sin(\frac{\pi }{4}) \\= - \frac{1}{\sqrt{2} } \\=-\frac{\sqrt{2} }{2}[/tex]

y = rsinθ

 = 1 × sin (-225°)

 = -sin (225°)

 = -sin ( 270° - 45°)

 [tex]=-sin(\frac{3\pi }{2} -\frac{\pi }{4} )[/tex]                      

[tex]= -( - cos(\frac{\pi }{4})) \\= \frac{1}{\sqrt{2} } \\=\frac{\sqrt{2} }{2}[/tex]

Hence, coordinates of the point on the unit circle at an angle -225°° are [tex](\frac{-\sqrt{2} }{2} , \frac{\sqrt{2}} {2} )[/tex].

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Answer:

B

Step-by-step explanation:

The probability of getting both fashion and health magazine without replacement is 2/7.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, a shelf contains 3 fashion magazines and 4 health magazines.

Total number of books = 7

Number of fashion magazines = 3

Number of health magazines= 4

Probability of getting fashion magazines = 3/7

Probability of getting health magazines = 4/6

Probability of getting both the events = 3/7 ×4/6

= 1/7 ×4/2

= 2/7

Therefore, probability of getting both fashion and health magazine without replacement is 2/7.

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Answer:

1007.5

Step-by-step explanation:

1007.5 because if you do the math, 15.5% of 65:

65 * 15.5% = x

x=1007.5

double check:

1007.5 / 15.5%= 65

triple check:

1007.5 / 65 = 15.5%

Answer:

Wrong

Step-by-step explanation:

If you multiply (y-9)(y-9) the answer equal y2-18y+81.