Center Middle School is having a pie eating contest and needs a team consisting of 5 people from Mrs. Brown's classroom. There are 20 students in Mrs. Brown's classroom. How many different teams could be formed?

Answer:

Step-by-step explanation:

for y

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=10/y

y=10[tex]\sqrt{2}[/tex]

for x

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2}[/tex]=x/10[tex]\sqrt{2}[/tex]

x[tex]\sqrt{2}[/tex]=10[tex]\sqrt{2}[/tex]

x=10[tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]

x=10

Answer:

334.60 but if rounding to nearest whole number its 335

The volume of air in cylindrical jar is 334.60 [tex]cm^{3}[/tex].

The formula to calculate volume of a cylinder is given by the product of base area and its height.

Given

Height = 33.3 cm

Diameter = 8 cm

Radius = [tex]\frac{Diameter}{2}[/tex] = 4 cm

The volume of cylindrical jar = height × Base area

= 33.3 × [tex]\pi.(4^{2} )[/tex]

= 33.3 × [tex]16\pi[/tex]

= 532.8[tex]\pi[/tex] [tex]cm^{3}[/tex]

The air take up 20%

The volume of air in cylindrical jar

= 532.8[tex]\pi[/tex] × 20%

= 106.56[tex]\pi[/tex]

≅ 334.60 [tex]cm^{3}[/tex]

Hence, the volume of air in cylindrical jar is 334.60 [tex]cm^{3}[/tex].

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ANSWER is Option C

Use 2πr = 2×3.14×6 = 37.68 inches

Formula for the circumference of a circle: C = pi * Diameter

We are given the diameter, 12 inches, so all we have to do is plug in our values.

C = 3.14 * 12

C = 37.68 inches

Hope this helps!! :)

Respuesta:

0,114 m³

Explicación:

El volumen del cohete será igual a la suma de los volumenes del cilindro y del cono

Volumen del cilindro

El cilindro tiene un radio (r) de 0,25 m y una altura (h) de 0,5 m. Podemos encontrar su volumen usando la siguiente formula.

Vcil = π × r² × h

Vcil = π × (0,25 m)² × 0,5 m = 0,098 m³

Volumen del cono

El cono tiene un radio (r) de 0,25 m y una altura (h) de 0,25 m (la mitad de 0,5 m). Podemos encontrar su volumen usando la siguiente formula.

Vcono = 1/3 × π × r² × h

Vcono = 1/3 × π × (0,25 m)² × 0,25 m = 0,016 m³

Volumen del cohete

Vcohete = Vcil + Vcono = 0,098 m³ + 0,016 m³ = 0,114 m³

The co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1  is , (0,0)

The equation of a  line is a relationship between x and y coordinates.

Section formula for a point which divides line joining points into m:n ratio,

(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }

Given points,

(-3, 9) and (1, -3)

m:n = 3:1

(X,Y) = { (3×1+ 1×-3)/3+1 , (3×-3 + 1×9 )/ 3+1 )

(X,Y) = (0,0)

Hence, the points will be, (0,0)

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Answer:

x=36°

the sine rule enables us to find missing angles and sides when given an angleand 2 known sides

2a plus 6 equl eight i hink so

Answer:

Solve the given system first

Find b:

Find a:

Verify the options for correctness:

Answer:

neither

Step-by-step explanation:

43 + 57 = 100

Complementary angles: sum of measures = 90 deg

Supplementary angles: sum of measures = 180 deg

This question: sum of measures = 100 deg

Answer: neither

Answer:

Neither

Step-by-step explanation:

Supplementary angles are angles that have a common side and together have a value of 180 degrees.

Complementary angles are angles that together have a value of 90 degrees.

These angles do not add up to 180 degrees, and do not have a common side, so they are not supplementary. These angles do not add up to 90 degrees, so they are not complementary.

Answer:

You have to first figure out how many different possibilities there are, here there are 10. And they're asking for the chance that one option will be chosen

Therefore it is 1/10

I'm new to the app, hope that helped

Answer:

7^5 (7 to the fifth power)

Step-by-step explanation:

those sevens can be represented by 7^5 because there are five sevens to multiply together

you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807

and making sure that 7^5 is also equal to 16807, which it is.

Hope this helps! :)

Answer:

C.155

Step-by-step explanation:

CALCULATE IT ITS MA ANSWER

Answer:

No, It is not.

Step-by-step explanation:

Step 1: Divide the 2.45 by 4 (We are doing this to find the difference between them so we can find out what to do next.)

[tex]2.45 \div 4\\\\= 0.6125[/tex]

Step 2: Multiply 0.6125 to 6 (Now, that we've found what 1 magazine cost according to the first data, we are multiplying it by 6 because if you multiply that to 4 the answer will be 2.45. So, if we multiply 6, it will show us if they are both proportional, the same.)

[tex]0.6125 \times 6\\\\= 3.675[/tex]

Therefore, these two prices are not proportional.

Answer:

x = 2

y = -3

Step-by-step explanation:

y = x-5

y = -x-1

2x -4 = 0

2x = 4

x =2

y = 2-5

y = -3

Answer:

Lilly

Step-by-step explanation:

According to the literature, the length of a medium grain rice is between 5.3 and 5.9 mm. Let's take the average (5.6 mm) and convert it to meters to compare it with the estimations. We will use the conversion factor 1 m = 1000 mm.

5.6 mm × 1 m/1000 mm = 5.6 × 10⁻³ m

Jack answered 4.5 × 10⁻³ kilometers. We will convert it to meters using the conversion factor 1 km = 1000 m.

4.5 × 10⁻³ km × 1000 m/1 km = 4.5 m

Lilly answered 4.5 × 10⁻³ meters.

Diego answered 4.5 × 10⁻³ centimeters. We will convert it to meters using the conversion factor 1 m = 100 cm.

4.5 × 10⁻³ cm × 1 m/100 cm = 4.5 × 10⁻⁵ m

Willa answered 4.5 × 10⁻³ millimeters. We will convert it to meters using the conversion factor 1 m = 1000 mm.

4.5 × 10⁻³ mm × 1 m/1000 mm = 4.5 × 10⁻⁶ m

As we can see, Lilly gave the best answer (same order of magnitude).

Answer:

5 < x

Step-by-step explanation:

28<6x-2

Add 2 to each side

28+2<6x-2+2

30 < 6x

Divide each side by 6

30/6 < 6x/6

5 < x

Answer:

5 < x OR x > 5

same thing just reversed

Step-by-step explanation:

28 < 6x - 2

28+2 < 6x (- 2 + 2)

30 < 6x

30/6 < 6x/6

5 < x

Answer:

SAS

Step-by-step explanation:

Answer:

DF = 9.5

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

DE × DF = DC × DB

5(5 + x) = 5(5 + 4.5) ← divide both sides by 5

5 + x = 5 + 4.5

5 + x = 9.5 ( subtract 5 from both sides )

x = 4.5

Then

DF = DE + EF = 5 + 4.5 = 9.5

Answer:

the answer is 1170 cubic feet

Step-by-step explanation:

all you have to do is multiply the length times the width times the height and divide it by three then you will get your answer if this helped you should mark this the brainliest!!

Surface area of cone = πr(r+√(h2+r2))

where r is the radius of the circular base

h is the height of coneOr

Surface area of cone =πr(r+L)

where L is the slant height of the cone

Answer:

The formula for the area of a cone is 3.14 times the radius times the side

Step-by-step explanation:

Answer:

a) 2.5^2+19\times2.5-16.75

Step-by-step explanation:

(2.5)² +(19× 2.5) - 16.75

= 6.25 + 47.5 - 16.75 = 37

Answer:

28

Step-by-step explanation:

[tex]\sqrt{100} + (\sqrt{9} \cdot \sqrt{36}) = 10 + (3 \cdot 6) = 10 + 18 = 28[/tex]

Answer:

20

Step-by-step explanation:

125

Step-by-step explanation:

25% of 500

25÷100

multiplied by 500

=125

===========================================================

Explanation:

If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.

Furthermore, it means triangle WXY would be a right triangle.

Effectively, we need to find out if triangle WXY is a right triangle.

Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.

We have these side lengths of the triangle:

Let's say a = 9.6, b = 12.8 and c = 16

The order of 'a' and b doesn't matter. All that matters is that c is the longest side.

Plug those values into the pythagorean theorem and simplify each side.

a^2+b^2 = c^2

(9.6)^2 + (12.8)^2 = (16)^2

92.16 + 163.84 = 256

256 = 256

We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.

Answer:

1 gallon : 25.6 miles

Step-by-step explanation:

So, the way we can find the rate, or ratio between 2 units is to divide one unit by the other unit.

So basically, we see the first set of units is:

2 gallons - 51.2 miles

So basically, for every 2 gallons, there are 51.2 miles.

To find the ratio, or rate, we must find the miles per gallon.

We can do that by dividing both sides by 2:(g=gallons, m=miles)

2g/2=51.2/2m

=

g=25.6

So for every gallon, there is 25.6 miles.

We can write this as:

1 : 25.6

Hope this helps!

Answer:

25.6

Step-by-step explanation:

51.2/2=25.6

Answer:

so here 25%=5

25×2=50, 5×2=10

50%=10

50%+50%=10+10

100%=20

baker makes total 20 cakes

Answer:

Step-by-step explanation:

Answer:the answer is 5  it means you mutiply five that many times

Step-by-step explanation:

Answer:

5¹=5

5¹ means that you multiply 5 by itself 1 times