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Answer:

4.46cm

Step-by-step explanation:

Volume of a frustum is expressed as;

V = (1/3) * π * h * (r₁² + r₂² + (r₁* r₂))

h is the height of the frustum

r₁ and r₂ are the radii of its ends

V is the volume

Given

V = 9100cm₃

r₁ = 10cm

r₂ = 30cm

Substitute

9100 = (1/3) * (3.14) * h * (10² + 30² + (10* 30))

9100 = 1/2(3.14)*h*(100+900+300)

9100 = 1.57*h*(1300)

9100 = 2,041h

h = 9100/2,041

h = 4.46cm

Hence the height of the cap is 4.46cm

Answer:

$1.45

When writing about money, you use the two places after the decimal. In the third place, the number is 0 which rounds down.

Answer:

enerji dengesi korunur. Dayanıklılık ve performans yüksektir.Sporda oluşan kas ağrıları minimizedir ve doğru beslenme ile egzersizde yaşanılan kas yıkımı

telafi edilebilir

[tex]21200 + 415(y)[/tex]

[tex]27000 = 21200 + 415(y)[/tex]

[tex]27000 - 21200 = 21200 - 21200 + 415(y)[/tex]

[tex]5800 = 415(y)[/tex]

[tex] \frac{5800}{415} = \frac{415(y)}{415} [/tex]

[tex]13.9759..... = y[/tex]

[tex]it \: will \: take \: about \: 14.0 \: years[/tex]

Answer:

x=3

Step-by-step explanation:

51 degrees + (7x+18) degrees = 90 degrees

7x+18=90-51

7x+18=39

7x+18-18=39-18

7x=21

7x/7=21/7

x=3

Answer:

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

13 5-peso coins

9 1 peso coins

13 X 5 = 65

9 X 1 = 9

65+9 = 74

Answer: see the explanation

Step-by-step explanation:The perimeter is the distance around the outside of a shape. Perimeter is measured in units (e.g., cm). The area is the amount of space the inside of the shape takes up. Area is measured in square units (e.g., cm2).

Answer: no

80+ x+5 + x-5 =180

2x=100

x=50

so

80 and 55 and 45

Step-by-step explanation:

Answer:

Sean is incorrect.

Step-by-step explanation:

The interior angle of this triangle with the exterior angle of 80° is 100°, so the sum of the remaining angles should be 80°, which means (X + 5) + (X - 5) = 80. Take off the parenthesis, 2X = 80, which means X = 40°. This is where Sean's answer was wrong, he forgot that the remaining angles are X + 5 and X - 5 instead of X, which means that the angles in this triangle should actually be 100°, 45°, and 35°.

Answer:

Jeffery walked 1.13 miles in total.

Step-by-step explanation:

1/3 and 4/5. To solve this problem, we need to find a common denomonator.

3 and 5

LCM = 15

1/3* 5/5

5/15

4/5 * 3/3

12/15

5/15 + 12/15 = 17/15

= 1.13

Answer:

No because the first one will get an answer of -2 while the second one will get an answer of 14

Step-by-step explanation:

Hope This Helped

Answer:

no

Step-by-step explanation:

To solve this we can plug in 2 for x and 2 for y and see if the equations are true

we have

2= -4(2)+6

2= -8+6

2= -2

this is false, the answer is no

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree

Answer:

the 3rd one

Step-by-step explanation:

because it's in a pattern

Answer:

3rd.

Step-by-step explanation:

Answer: 700m^2

Step-by-step explanation:

length = 20m

breadth= 15m

so we use lateral surface area = 2(L+B) H

area of hall = 2(20+15)10

2×35×10 = 700m^2 ans

Answer:

Sales Tax $2.55

Final Cost $36.55

Step-by-step explanation:

Finding sales tax

34 * 7.5%= 2.55

Multiply the tax with the original cost, that will be your sales tax

Finding final cost

34 + 2.55= 36.55

Add your sales tax with the original cost, now you have the final total

Answer:

[tex]3x-10<5\\x<5[/tex]

Step-by-step explanation:

Let x be equal to the number.

We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:

[tex]3x-10<5[/tex]

To find the range of possible values, we must solve the inequality and isolate x.

[tex]3x-10<5[/tex]

Add 10 to both sides

[tex]3x-10+10<5+10\\3x<15[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}<\frac{15}{3}\\x<5[/tex]

I hope this helps!

Answer:

It just equals to 2

Step-by-step explanation:

Think of it as 2^1!

1.

The value of anything that has an exponent of 0 is always 1

Answer:

40,000

Step-by-step explanation:

100,000 + 40,000 + 5,000 + 20 + 7 = 145,027

Answer:

3x+-4

Step-by-step explanation:

8+3(x-4)

8+3x-12

8-12+3x

-4+3x

can you mark me the brainllest please

Answer: 9 cm

Step-by-step explanation:

I took the test

Answer:

920 square feet

Step-by-step explanation:

Top: 20 * 17 = 340

Side triangles: 8 * 15 / 2 = 60

2 side triangles: 60 * 2 = 120

Back rectangle: 8 * 20 = 160

Bottom rectangle: 15 * 20 = 300

All of them: 340 + 120 + 160 + 300 = 920

The surface area is the sum of the area of the two similar triangles and the area of the three rectangles. Then the surface area of the geometry will be 920 square feet.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The surface area of the geometry will be

The surface area is the sum of the area of the two similar triangles and the area of the three rectangles.

The area of the rectangles will be

Area of rectangles = 8 x 20 + 15 x 20 + 17 x 20

Area of rectangles = 160 + 300 + 340

Area of rectangles = 800 square feet

The area of the triangles will be

Area of triangles = 2 x 1/2 x 15 x 8

Area of triangles = 120 square feet

Then the area of the geometry will be

Area of geometry = 800 + 120

Area of geometry = 920 square feet

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer:

39.6

Step-by-step explanation:

36*0.10 = 3.6

36+3.6=39.6

Answer:

The answer is

[tex]a = 9 \sqrt{3} \: and \: b = 9[/tex]

Answer:

B

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{18}[/tex] ( multiply both sides by 18 )

18 × sin60° = a , then

a = 18 × [tex]\frac{\sqrt{3} }{2}[/tex] = 9[tex]\sqrt{3}[/tex]

-------------------------------

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{18}[/tex] ( multiply both sides by 18 )

18 × cos60° = b , then

b = 18 × [tex]\frac{1}{2}[/tex] = 9

Answer:

Angle <E is approximately 40 degrees, and angle <D is approximately 50 degrees

Step-by-step explanation:

Since angle <F is clearly 90 degrees, we can find angle E using the cosine function that relates the adjacent side to the angle with the hypotenuse:

[tex]cos(\theta)=\frac{adj}{hyp} \\cos(E)=\frac{6.5}{8.5}\\E = arccos(\frac{6.5}{8.5})\\E\approx 40.12^o[/tex]

And we use the sin function to deal with angle <D:

[tex]sin(\theta)=\frac{opp}{hyp} \\sin(D)=\frac{6.5}{8.5}\\D = arcsin(\frac{6.5}{8.5})\\D\approx 50^o[/tex]

my answer is that 6.28 will be the answer.

Answer:

k = 0.16

Step-by-step explanation:

First, use distributive property on the left side:

[tex]0.2(k+2.4)=3.2k\\0.2k+0.48=3.2k\\0.48 = 3k\\k = 0.16[/tex]

Answer:

k = 0.16

Step-by-step explanation:

Use distributive property, meaning individually multiply 0.2 to each number/variable within the parameters

0.2 × k = 0.2k

0.2 × 2.4 = 0.48

0.2k + 0.48 = 3.2k

You cannot add a number and a variable so instead we should isolate the variable

Subtract 0.2k from both sides

0.48 = 3.2k - 0.2k

0.48 = 3.0k

0.48 = 3k

Divide both sides by 3

0.16 = k

Answer:

1 is isoscele

2 is scalene

3 is equalateral

4 is scalene