Mathematics High School

The roof of a turret is shaped like a cone. The base of the cone is 30 m across and the height is 8 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.
(a) Sketch the roof of the turret. Label all lengths, using x as the unknown.
(b) What is the slant height of the roof? Answer:

Answers

Answer 1

Answer:

Solution given:

base=diameter [d]=30m

radius [r]=d/2=15m

height [H]=8m

slant height [l]=xm

we have

∆ ABC is a right angled triangle

base[b]=r

perpendicular [p]=H

hypotenuse [h]=x

by using Pythagoras law

h²=p²+b²

x²=H²+r²

x²=8²+15²

x=√289

x=17m

the slant height of the roof is 17m.

The Roof Of A Turret Is Shaped Like A Cone. The Base Of The Cone Is 30 M Across And The Height Is 8 M.

Related Questions

What is a equal ratio to 4/10

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Answer:

2/5

Step-by-step explanation:

HELP ME PLEASE IHDGYSKHJN

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Answer:

b.39

Step-by-step explanation:

312 divided by 8 is 39

Answer:

312 divided by 8 = 39, B is your answer

Step-by-step explanation:

You need to spread the books equally amongst the 8 shelves there are. Which means you divide.

WILL GIVE BRAINLIEST!!! Question in pic!!!!! Help pls!!

Answers

Answer:

x=26

y=11

Step-by-step explanation:

y is equal to the one on the opposite side, so y=11

since 24 and the other side are equal, and the other side is x-2, you do 24+2=26

The length of one leg of a right triangle is 20.3 centimeters. The length of the hypotenuse is
30.7 centimeters. Which is closest to the length of the other leg?

Answers

Answer: Approximately 23.0 cm

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

Work Shown:

a = 20.3

b = unknown

c = 30.7

Apply the pythagorean theorem to find b

a^2 + b^2 = c^2

(20.3)^2 + b^2 = (30.7)^2

412.09 + b^2 = 942.49

b^2 = 942.49-412.09

b^2 = 530.4

b = sqrt(530.4)

b = 23.0304146727757 value is approximate

b = 23.0

I rounded to one decimal place because the other values (20.3 and 30.7) were to one decimal place.

the more the volume of a cone shaped hole is 12 pi ft3if the hole is 4 ft deep what is the radius of the whole

Answers

Answer:

3 ft

Step-by-step explanation:

Volume of the cone:

V = 1/3πr²h

Substitute values and solve for r:

12π = 1/2πr²(4)r² = 9x = √9r = 3 ft

please answer fast and quickly

Answers

Answer:

Blue

stay safe healthy and happy...

Hello there I hope you are having an great day :) If you select a marble without looking which colour are you less likely to pick, All together there is 10 marbles.

Orange : 2/10

Black : 2/10

Green : 5/10

Blue: 1/10

The less Colour is Blue as there is only 1 Marble so it probably the less likely to be picked.

Hopefully that helps you :)

1)A bag contains seven red marbles and seven
blue marbles. You randomly pick a marble
and then pick a second marble without
returning the marbles to the bag. Both
marbles are red

Answers

Answer: 7/26

Step-by-step explanation:

7 red and 7 blue = 14 total

7/14 or 1/2 chance of getting red first

7/13 chance of getting red the second time

7/13*1/2 = 7/26

7/26 chance

sorry if it’s wrong but I hope it helps

Jason has 4,320 followers on social media. His number of followers is
increasing at a rate of 2% per week. Which function represents his
number of followers each week?
A. f(w) = 4,320(2)"
B. f(w) = 4,320(0.02)"
C. f(w) = 4,320(0.98)"
D. f(w) = 4,320(1.02)"

Answers

Answer:

Explanation:

2% = 1.02

4,320 * 1.02 = 4,406

You want to fill up a jar with lemonade.
Is this the characteristic of total surface area or volume?

Answers

volume because of weight and surface

What is the distance between the points (7, 8) and (-8, 0) on a coordinate graph?

Much appreciated if you answer!

Answers

An ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows

please folow me❤❤

lets be friends ❤❤

Please help due in 15 min!!!!

Answers

Answer: True

Step-by-step explanation:

2 with the exponent of 1/2 is 1.41. SQRT for 2 is also the same.

2 with the exponent of -1 is 0.5. Fraction of 1/2 is the same.

true !!!!!!!!!!! wish u the best

Determine if the lines are parallel, perpendicular, or neither.
y=-2x – 4
2x + y = 5

Answers

Answer:

parallel I think

Step-by-step explanation:

move the x to the left and divide by y to simplify. the new equation for the bottom will be y=-2x+5. For it to be parallel they have to have the same slope

Stacy hiked to a famous point with a beautiful view. It took 2 hours and 25 minutes to hike to the viewpoint and 20 minutes to hike back. Stacy spent 25 minutes enjoying the view at the top. She finished the hike at 12:25 P.M. What time did Stacy start the hike to the viewpoint?

Answers

i’m pretty sure it would be 9:40 when she started

which is the simplified form of x-¹²?

A. x¹²
B. -x¹²
C. 1/x¹²
D. -1/x¹²

Answers

Answer:

c. 1/x½

x- 12 = 1/x½

hope it helps

Step-by-step explanation:

1. Find six rational numbers between 2/7 and 5/2

Answers

Answer:

5/14

6/14

7/14

8/14

9/14

10/14

Step-by-step explanation:

We need to find the six rational numbers between 2/7 and 5/2. Firstly convert the fractions into like fractions.

LCM of 7 & 2 = 14

=> 2/7 = 2×2/7×2 = 4/14

=> 5/2 = 5 ×7/2×7 = 35/14

Therefore the six rational numbers are

5/146/147/148/149/1410/14

A pool measuring 8 meters by 28 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 476 square meters, what is the width of the path?

Answers

28 because the wiishddbehehhe is wide enough

Question 6: Write an equation for the parabola with vertex (2, 5) and focus (-1, 5).

A. (x - 2)^2 = -12(y - 5)
B. (x - 2)^2 = -3(y - 5)
C. (y - 5)^2 = -12(x - 2)
D. (y - 5)^2 = -3(x - 2)

Answers

D is the correct answer

A canister contains 12 ounces of flour. When the canister is full, it holds 6 times as much flour.

How many ounces of flour does the canister hold when it is full?

Answers

Answer:

72 ounces

Step-by-step explanation:

given that it is holding 12 ounces and it says that the max is 6 times that of the 12 ounces it would be

12×6

thus it would equal 72

Answer:

72 oz.

Step-by-step explanation:

12 oz times 6 duhhhh

Plz help will mark brainliest

Answers

Answer:

the correct answers are A B C E

please helppp meee!!!!

Answers

Answer:

x=6

Step-by-step explanation:

3x+4=22

3x=18

x=6

If the total is 22, and you have a number 4 and 3 X's. Then 3x equals 22-4. 3x=18, 18 divided by 3 equals 6. Therefore, x equals 6.

When the rate is Rs 210 per piece, a certain sum of money can buy 16 pieces of
Tshirts. If the rate increases to Rs. 280 per piece, how many pieces of T-shirts
can be bought with the sum?

Answers

Answer:

12 pieces of T-shirts can be bought with the sum.

Step-by-step explanation:

Given that:

The rate is Rs 210 per piece, a certain sum of money can buy 16 pieces of T-shirts.

To Find:

If the rate increases to Rs. 280 per piece, how many pieces of T-shirts can be bought with the sum?

Let us assume:

x pieces of T-shirts can be bought with the sum.

Finding the number of T-shirts bought:

According to the question.

Rate × Pieces of T-shirts = Rate × Pieces of T-shirts

⟶ 210 × 16 = 280 × x

⟶ 3360 = 280x

⟶ x = 3360/28

⟶ x = 12

Hence,

If the rate increases to Rs. 280 per piece, 12 pieces of T-shirts can be bought with the sum.

PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

The answer is one over fourteen because there are 8 white eggs (remember the 10 brown eggs), and half of them (the white ones) are cracked, so four. And, if you randomly grab an egg, there is 1/14 of a chance you could grab a cracked, white, egg.

Mr lance designed a class banner shaped like a the polygon shown. What is the name of the polygon?

Answers

Answer:

hexagon

Step-by-step explanation:

i g

Need help with this question please!!

Answers

Answer:

11.1

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} =c^{2} \\AB^{2} +BC^{2} =AC^{2} \\AB^{2} +19^{2} =22^{2} \\\\AB^{2}=22^{2}-19^{2\\AB=\sqrt{123} \\AB=11.1[/tex]

find the length of midsegment YZ in trapezoid ABCD when A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)

Answers

Answer:

Option C

Step-by-step explanation:

Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.

Segment YZ will the midsegment of trapezoid ABCD.

By the theorem of midsegment,

m(YZ) = [tex]\frac{1}{2}(AD+BC)[/tex]

By using expression for the length of a segment between two points,

Length of a segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between two points A(-5, -6) and D(3, 2),

AD = [tex]\sqrt{(3+5)^2+(2+6)^2}[/tex]

AD = [tex]\sqrt{64+64}[/tex]

AD = [tex]\sqrt{128}[/tex]

AD = [tex]8\sqrt{2}[/tex]

Distance between B(-6, -2) and C(-4, 0)

BC = [tex]\sqrt{(-6+4)^2+(-2-0)^2}[/tex]

BC = [tex]\sqrt{8}[/tex]

BC = [tex]2\sqrt{2}[/tex]

Therefore, m(YZ) = [tex]\frac{1}{2}(8\sqrt{2}+2\sqrt{2})[/tex]

= [tex]\frac{1}{2} (10\sqrt{2})[/tex]

= [tex]5\sqrt{2}[/tex]

Option C will be the answer.

The length of the midsegment YZ is [tex]5\sqrt 2[/tex]

The coordinates are given as:

A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)

Start by calculating distance AD and CB using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AD = \sqrt{(3 +5)^2 + (2 +6)^2} = \sqrt{128}[/tex]

[tex]CB = \sqrt{(-6 +4)^2 + (-2 -0)^2} = \sqrt{8}[/tex]

The length of the midsegment is then calculated as:

[tex]YZ = \frac 12 * (AD + CB)[/tex]

This gives

[tex]YZ = \frac 12 * (\sqrt{128} + \sqrt 8)[/tex]

Simplify

[tex]YZ = \frac 12 * (8\sqrt{2} + 2\sqrt 2)[/tex]

[tex]YZ = \frac 12 * (10\sqrt 2)[/tex]

Simplify

[tex]YZ = 5\sqrt 2[/tex]

Hence, the length of the midsegment YZ is [tex]5\sqrt 2[/tex]

Answers

Answer:

0.15 Gallons

Step-by-step explanation:

9/10 = 0.9 (Conversion)

0.9 ÷ 6 = 0.15

0.15 gallons hope this helps

Please help me with this homework

Answers

Is true I hope my answer helps you

HELP! Which yd symbol is correct? I’m not sure which!!!

Answers

Answer:

yd^3

Step-by-step explanation:

Answer:

120yd^2

Step-by-step explanation:

A=BH

A= 15×8

A=120

symbol = yd^2

final answer= 120yd^2.

This is what I have so far I just need the last step

Answers

Answer:

-2

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

-6/3=-2

Classify this triangle

Answers

Answer:

Right triangle

Step-by-step explanation:

becuase it is

Answer:

right triangle

Step-by-step explanation:

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