A cylinder has a height of 18 feet and a diameter of 38 feet. What is its volume? Use it %
3.14 and round your answer to the nearest hundredth

Answer:

21.4

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2} \\13^{2} + 17^{2} = c^{2} \\169+ 289 = \sqrt{c^{2} } \\\sqrt{458} = \sqrt{c^{2} } \\21.4 = c[/tex]

[tex]\huge\bold{Given:}[/tex]

Length of the base "b" = 17 yd.

Length of the perpendicular "a" = 13 yd. [tex]\huge\bold{To\:find:}[/tex]

The length of the missing side, hypotenuse ("c").

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\boxed{C.\:21.4\:yd}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {c}^{2} \\ \\⇢ {c}^{2} = 169 \: {yd}^{2} + 289 \: {yd}^{2} \\ \\⇢c = \sqrt{458 \: {yd}^{2} } \\ \\⇢c = 21.40 \: yd[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"c"\:is\:21.4\:yd.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {21.4 \: {yd}^{2} }\\ \\ ⇝169 \: {yd}^{2} + 289 \: {yd}^{2} = 457.96 \: {yd}^{2} \\ \\⇝458 \: {yd}^{2} = \: 458\: {yd}^{2} \\\\⇝ L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

0

Step-by-step explanation:

duh

Answer:

x = all real numbers

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x + 6 = 2(x + 3) - x

Step 2: Solve for x

Here we see that both sides are identical.

∴ our solution is all real numbers.

Answer:

8

Step-by-step explanation:

Divide 30 by 3.75 to get 8.

Hope that this helps!

Answer:

4²

Step-by-step explanation:

simplified expression of 4 power 4 multiplied by 4 power 3 over 4 power 5.

Answer:

4^2

Step-by-step explanation:

(4^4*4^3)/4^5

4^4 * 4^3 = 4^7 because of an exponent multiplication property, when exponents of the same number multiply, they can just add

4^7/4^5

4^7-5

= 4^2 Because..

another exponent property is that if the exponents of the same number divide, they can subtract! The opposite of the other property!

Answer:

2 balloons.

Step-by-step explanation:

6x = 430

x = 71.6

He has to buy 72 packs, there will be:

72 * 6 = 432 - 430 = 2 balloons left.

Answer:

The width, in inches of the larger cell phone is 6.14 inches.

Step-by-step explanation:

To solve we must set up a ratio.

[tex]\frac{8.4}{5.6} = \frac{9.21}{y}[/tex]

After setting this ratio up, we can cross multiply to solve for y.

8.4(y) = 5.6(9.21)

8.4(y) = 51. 576

To get y alone we divide by 8.4 on both sides.

y = 6.14

The width, in inches of the larger cell phone is 6.14 inches.

Answer:

11

Step-by-step explanation:

16 - 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex] - 5

= 16 - 5

= 11

Answer:

42°

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

1) 90-48 = 42

Hope this helps! :)

Answer:

angle I = 42 degree

Step-by-step explanation:

In complementary angles sum of two angles ia always 90 degree.

angle I +angle N=90 degree (since they are complementary)

substitute the value of angle N

angle I + 48 = 90

angle I = 90 -48

angle I =42 degree

Answer:

22

Step-by-step explanation:

Step-by-step explanation:

2 1/2 × 2

=5/2 × 2

=5

(0.5)2

=0.5×2

=1

5+1

=6

Answer:

56.25 cm

Step-by-step explanation:

your teacher wrote the approach already : the law of sines.

in our example we have

sin(28)/27 = sin(102)/c

c×sin(28)/27 = sin(102)

c×sin(28) = 27×sin(102)

c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm

Answer:

D.16.5m

because circumference=21/7×5.25

=16.5m

Answer:

Step-by-step explanation:

First we need to calculate how many total students there are. Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.

Total Students = 3 + 12 + 2 + 7 = 24 students

Probabilities:

does not have a sister = [tex]\frac{2 + 7}{24}[/tex] = 0.375 or 37.5%  (multiply decimal by 100 to get percentage.

Has a brother = [tex]\frac{3 + 2}{24}[/tex] = 0.208 or 20.8%

Does not have a brother = [tex]\frac{12 + 7}{24}[/tex] = 0.7916 or 79.2%

Has a sister = [tex]\frac{3 + 12}{24}[/tex] = 0.625 or 62.5%

Answer:

C=20° a=10.8 c= 4.3

Step-by-step explanation:

first we need to find the value of angle C by subtracting the sum of angle A and B from 180°.

to find c and a we need to use sin rule which states that sinB/b=sinA/a=sinC/c respectively

xy+xb+ya+ab = 32

x(y+b) + a(y+b) = 32

(x+a) (y+b) = 32

4.(y+b) = 32

(y+b) =32/4

(y+b) = 8

OPTION C

Check the picture below.

Answer:

80

Step-by-step explanation:

10*8=80

Answer:

Step-by-step explanation:

to find height use pythagoras theorem

height be x

a^2+b^2=c^2

x^2+8^2=10^2

x^2+64=100

xx^2=100-64

x^2=36

x=[tex]\sqrt{36[/tex]

x=6

area of the triangle =base*height/2

=8*6/2

=48/2

=24 square units.

Answer:

x = 27.5

Step-by-step explanation:

x/55 = 4/8 (ratio between the two polygons); cross multiply.

220 = 8x; divide 8 on both sides

x = 27.5

Answer:

Gana 6666,67 Córdoba de los cuales

gasta 3333,33 en alimentos y 1333,33 en servicios.

Step-by-step explanation:

Se queda 2000 Córdoba

Gasta el 20% de su salario para pagar los servicios básicos de su casa.

Gasta el 50% de su salario en comida.

Suponga que gana x cantidad

luego

x = 0,2x + 0,5x + 2000

x = 0,7x + 2000

x-0,7x = 2000

0,3 veces = 2000

x = 2000 / 0,3

x = 6666,67

Gana 6666,67 Córdoba de los cuales

gasta 3333,33 en alimentos y 1333,33 en servicios.

He keeps 2000 Córdoba

He spends  20% of his salary to pay for the basic services of his hous.

He spends 50% of his salary to pay on food.

Suppose he earns x amount

then

x= 0.2x+0.5x+2000

x= 0.7x+2000

x-0.7x=2000

0.3x= 2000

x= 2000/0.3

x= 6666.67

English

He earns 6666.67  Córdoba out of which

he spends 3333.33 on food and 1333.33 on services .

Answer:

X=3

Step-by-step explanation:

We have two linear functions which intersect at a point. Linear functions are lines which are made of points that satisfy the function or relationship.  This means at the intersection, this point (3,-1), both functions have values. An input of x=3 produces y=-1 in both functions.

Answer:

The volume of the kiosk is 72 m³.

Step-by-step explanation:

The volume of the kiosk is given by the sum of the volume of a cylinder ([tex]V_{cy}[/tex]) and the volume of a cone ([tex]V_{c}[/tex]):

[tex] V = V_{cy} + V_{c} = \pi r^{2}h_{cy} + \frac{1}{3}\pi r^{2}h_{c} [/tex]

Where:  

r: is the radius of the cylinder and the cone = d/2 = 5/2 = 2.5 m

d: is the diameter = 5 m

[tex]h_{cy}[/tex]: is the height of the cylinder = 3 m                              

[tex]h_{c}[/tex]: is the height of the cone = 2 m

Hence, the volume is:

[tex] V = \pi (2.5 m)^{2}(3 m + \frac{1}{3}*2 m) = 72 m^{3} [/tex]

Therefore, the volume of the kiosk is 72 m³.

I hope it helps you!

Answer:

B2--> the answer is 121 degrees.This is because due to alternate interior angles, the triangle

Answer:

1/22

Step-by-step explanation:

2/11 = 4/22 therefore 4/22 + x = 5/22 and 5/22 - 4/22 = 1/22

[tex]\huge\bold{Given :}[/tex]

✎ Sum of two numbers = [tex] \frac{5}{22} [/tex]

✎ One of the number = [tex] \frac{2}{11} [/tex]

[tex]\huge\bold{To\:find :}[/tex]

✿ The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is }[/tex] [tex] \frac{1}{22} [/tex]. ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

❥ Let the other number be [tex]x[/tex].

❥ As per the question, we have

[tex]sum \: of \: the \: two \: numbers = \frac{5}{22} \\ \\ ⇢  \frac{2}{11} + x = \frac{5}{22} \\ \\⇢ x = \frac{5}{22} - \frac{2}{11} \\ \\ ⇢ x = \frac{5}{22} - \frac{2 \times 2}{11 \times 2} \\ \\⇢ x = \frac{5 - 4}{22} \\ \\ ⇢ x = \frac{1}{22} [/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is}[/tex] [tex] \frac{1}{22} [/tex].

[tex]\huge\bold{To\:verify :}[/tex]

[tex] \frac{2}{11} + \frac{1}{22} = \frac{5}{22} \\ \\➪ \: \frac{2 \times 2}{11 \times 2} + \frac{1}{22} = \frac{5}{22} \\ \\ ➪ \: \frac{4 + 1}{22} = \frac{5}{22} \\ ➪ \: \frac{5}{22} = \frac{5}{22} \\ \\ ➪ \: L. H. S. = R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Area of the shades region = 244.6 ft²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle ABCD- Area of the right angle triangle DEC

Area of the rectangle = Length × width

                                    = 29.8 × 13

                                    = 387.4 ft²

By applying Pythagoras theorem in the right triangle DEC,

(Hypotenuse)² = (leg 1)² + (leg 2)²

CD² = DE² + EC²

(29.8)² = DE² + (28)²

888.04 = DE² + 784

DE² = 888.04 - 784

DE = 10.2 ft

Area of ΔDEC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(10.2)(28)[/tex]

                        = 142.8 ft²

Area of the shades region = 387.4 - 142.8

                                             = 244.6 ft²

Step-by-step explanation:

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