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3 years ago

What is the volume of the cylinder?

Mathematics

1 answer:

sertanlavr [38]3 years ago

6 0

Volume of cylinder:
Formula: pi * r^2 * h
r = 2, h = 20

pi * 2^2 * 20
pi * 4 * 20 = 20pi

Solution: A

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Nivyana and Ana are selling their apparel to earn money for a cruise. Knitted scarves are $50 each in Mittens are $25 per pair.

Katarina [22]

Answer:

The number of knitted scarves is 10

The number of knitted mitten is 20

Step-by-step explanation:

Given as :

The cost of each knitted scarves = $50

The cost of pairs of mittens = $25

Total number of scarves and mitten bought = 30

The total money invested to pay for items = $1000

Let The number of knitted scarves = k

Let The number of mitten = m

Now, According to question

The total money invested to pay for items = cost of each knitted scarves × number of knitted scarves + cost of pairs of mittens × number of mitten

i.e $1000 = $50 × k + $25 × m

Or, 40 = 2 k + m

i.e 2 k + m = 40 ........A

And

Total number of scarves and mitten bought = number of knitted scarves + number of mitten

i.e k + m = 30 ...........B

Now, solving eq A and eq B

So, (2 k + m ) - ( k + m ) = 40 - 30

Or, (2 k - k) + ( m - m) = 10

Or, k + 0 = 10

∴ k = 10

So, The number of knitted scarves = k = 10

Put the value of k into eq B

∵ k + m = 30

So, m = 30 - k

or, m = 30 - 10

∴ m = 20

The number of knitted mitten = m = 20

Hence, The number of knitted scarves is 10 and The number of knitted mitten is 20 . Answer

7 0

3 years ago

The measure of a circumscribed angle is equal to 180° minus the measure of the __________

ss7ja [257]

I believe it is an inscribed angle but I am not positive

8 0

3 years ago

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Starting at sea level, a submarine descended at a constant rate to a depth of − 4/5 mile relative to sea level in 3 minutes.

Jobisdone [24]

If it were 4 then it would be 1 1/3 for one minute

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3 years ago

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Graph the line with slope 1/2 passing through the point (5, - 1)

True [87]

Answer:

The equation is y = (1/2)x + - 3.5

Step-by-step explanation:

We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.

We're given the slope, (1/2) which we can use for m:

y = (1/2)x + b

We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:

x = 5, and y= -1

y = (1/2)x + b

-1 = (1/2)*5 + b

-1 = (2.5) + b

- 3.5 = b

The equation is y = (1/2)x + - 3.5

See the attached image.

7 0

11 months ago

I NEED HELP !!! 30 points!!!! and brainliest :) please give sensible answer :(

Allushta [10]

Answer:

Step-by-step explanation:

9) PQR Is an isosceles triangle

=> ∠PRQ = (180° - x)/2

PRS is an isosceles right triangle

=> ∠PRS = 45°

Have: ∠PRS + ∠PRQ = 115°

=> $\frac{180-x}{2}+45=115 \\$

=> 180 - x = (115 - 45).2 = 140

<=> x = 180 - 140 = 40

10) ABD is an isosceles right triangle => ∠ABD = 45°

BCD is an equilateral triangle => ∠CBD = 60°

have: x = ∠ABD + ∠CBD = 45° + 60° = 105°

11) have: x = y (2)

PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40

QTS is an isosceles triangle => ∠TQS = 180 -2x

QRS is an isosceles triangle => ∠RSQ = y

have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)

(1)(2) => $\left \{ {{y=x} \atop {2x-y=40}} \right.\\\\=> \left \{ {{x=40} \atop {y=40}} \right.$

=> x + y = 80

12) EFJ Is an equilateral triangle => ∠FJE = 60

∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle

=> 60 = 2.∠JHF => ∠JHF = 30°

∠JHF is the outer angle of the triangle FHG

=> 30° = 2x

<=> x = 15°

7 0

2 years ago