A cone has a base radius of 3 cm and a slant height of 5 cm.
Find h, the perpendicular height of the cone.

Answers

Answer 1

Answer:

h=4

Step-by-step explanation:

5²-3²=h²

h²=16

h=4cm

Answer 2

Answer:

I=4 (Slant height)

R=3 (Radius)

H=5 (slant height)

Step-by-step explanation:

Imagine inclination, peprendicular height and radius as a triangle, so this will have a 90 degrees angle and Pythagor theorem will imply to the calculations, as :

[tex]a^{2}+b^{2}= c^{2}\\[/tex]

where Height is A , Radius is B, and Inclination is C we have:

[tex]3^{2} +I^{2} = 5^{2}[/tex]

from above we have:

[tex]I^{2} =25-9[/tex]

and

[tex]\sqrt{I}=\sqrt{16} =4[/tex]


Related Questions

Select the correct answer.
What is the value of this expression if a = -7 and b = -3?
a3 – b2
Α.
-352
B.
-30
C.
-334
D.
-12

Answers

The value of this expression if a = -7 and b = -3 is -352

Equation

Equation is an expression used to show the relationship between two or more numbers or variables.

Given that a = -7 and b = -3

Hence:

a³ - b²

Substituting the values of a and b:

= (-7)³ - (-3)²

= -343 - 9

Simplifying the equation:

= -352

a³ - b² = -352

The value of this expression if a = -7 and b = -3 is -352

Find out more on Equation at: https://brainly.com/question/13763238

Can someone help me please?

Answers

9515 1404 393

Answer:

  10 inches

Step-by-step explanation:

Use the formula for the area of a trapezoid. Fill in the given information and solve for the unknown.

  A = 1/2(b1 +b2)h

  50 in² = (1/2)(3 in +7 in)h

  50 in²/(5 in) = h . . . . . . . . . . divide by the coefficient of h

  10 in = h

The height of the trapezoid is 10 inches.

a submarine is at the surface of the ocean, preparing to dive. it submerges and dives -993 ft. then it ascends 308 ft to avoid hitting an undersea cliff. what integer represents the submarines position in ft after it ascends to avoid the cliff?
A. 1,301
B. 685
C. -1,301
D. -685​

Answers

Answer:

[tex]\text{D. -685}[/tex]

Step-by-step explanation:

Let the submarine's initial position be 0. After diving 993 feet, its position will be -993 ft. The submarine then ascends 308 feet, meaning its final position will be [tex]-993+308=\boxed{-685}[/tex].

Two of the statements are true; one is a lie.

Select the one that is a lie.
Then explain your reasoning.

The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.

Answers

Answer:

The statement "[tex]\angle BAF[/tex] and [tex]\angle EAB[/tex] are complimentary" is false.

Step-by-step explanation:

Complimentary angles are defined by angles that add up to [tex]90^{\circ}[/tex]. Angles BAF and EAB represent one side of a line, which is [tex]180^{\circ}[/tex]. Therefore, they are actually supplementary and not complimentary. Thus, the statement "[tex]\angle BAF[/tex] and [tex]\angle EAB[/tex] are complimentary" is false.

If 50 students were surveyed about their after-school sports, how many students play soccer?

Answers

Answer:

15

Step-by-step explanation:

30% is equal to 0.3 as a proportion

Multiply 50 by 0.3 to get the number of students who play soccer.

50 X 0.3 = 15

Answer:

15

Step-by-step explanation:

football and track =50% =25 students

20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer

Write an equation and solve:


Kiran is trying to save $144 to buy a new guitar. she has $34 and is going to save $10 a week from money she earns mowing lawns. she wants to know how money weeks it will take her to have enough money to purchase the guitar.

Answers

Answer:

11 weeks

Step-by-step explanation:

34+10x=144 equation

10x=110

x=11

check answer

11*$10=$110 money after 11 weeks at $10/week

    +.       34 money saved

     =.     144 money needed.

In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to simulate the weather in the video game.

explain

Answers

Answer: 35

Step-by-step explanation:

11. Find the diameter of a circle with an area of 240.257 square millimeters. Round the answer to the nearesttenth.

Answers

Answer:

17.49

Step-by-step explanation:

A=πr2

d=2r

d=2A

π=2·240.26

π≈17.49013

You try to explain the number of IBM shares traded in the stock market per day in 2005. As an independent variable you choose the closing price of the share. This is an example of A. invalid inference due to a small sample size. B. sample selection bias since you should analyze more than one stock. C. simultaneous causality.

Answers

Answer:

This is an example of

C. simultaneous causality.

Step-by-step explanation:

Simultaneous causality eliminates the conclusion that is often taken for granted to the effect that one variable is a response variable while the other is an explanatory variable because the two variables, the price and the number of shares, influence each other at the same time.  When more shares are traded than demanded in the stock market in any day, the price tends to go down, and vice versa.

Find the missing side length. Leave your answer as a radical in the simplest form
Please help...no links

Answers

9514 1404 393

Answer:

  x = y = 12

Step-by-step explanation:

A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...

  1 : 1 : √2

Multiplying these ratios by 12 gives ...

  12 : 12 : 12√2 = x : y : 12√2

The side lengths x and y are both 12 units.

Show the number of 76 at least 2 ways?​

Answers

76.000, 76, 76.0, 76.0000000, 76/1 (as a fraction)

(No links :>)
Please answer the picture below. Tysm ^^

Answers

Answer:

1 and 3

Step-by-step explanation:

if you solve

5(a+4) it equals

5a +20

Answer:

1 and 3

Step-by-step explanation:

1. 5(a+4)  Distribute = 5a+5*4 = 5a +20

2. 5a+4

3. 5a+20

4 5*a*4 = 20a

The two that are equal are 1 and 3

The spray from a spinning lawn sprinkler makes
a circle with a 40 foot radius. If Ben and his
friends what to play and get wet, how much
space do they have?

Answers

Answer: [tex]5027.2\ ft^2[/tex]

Step-by-step explanation:

Given

The radius of the circle is [tex]r=40\ ft[/tex]

The area of the circle is given by [tex]\pi r^2[/tex]

Insert the value of radius and get the area to play

[tex]\Rightarrow \text{Area A=}\pi \times 40^2\\\\\Rightarrow A=3.142\times 1600\Rightarrow A=5027.2\ ft^2[/tex]

Thus, the area to play is [tex]5027.2\ ft^2[/tex]

A patient has been instructed to drink a gallon of water each day. How many cups does the patient
need to drink?
Thank

Answers

Answer:

16 cups a day

Step-by-step explanation:


A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x^2+ 181x + 59

Answers

Answer:

The rocket will hit the ground after about 11.63 seconds.

Step-by-step explanation:

A rocket is launched from a tower. Its height y in feet after x seconds is modeled by the equation:

[tex]y=-16x^2+181x+59[/tex]

We want to determine the time at which the rocket will hit the ground.

If it hits the ground, its height y above the ground will be 0. So, we can set y = 0 and solve for x:

[tex]0=-16x^2+181x+59[/tex]

Solve the quadratic. Factoring is too tedious or impossible, and completing the square is also very tedious. So, we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = -16, b = 181, and c = 59. Substitute:

[tex]\displaystyle x=\frac{-(181)\pm\sqrt{(181)^2-4(-16)(59)}}{2(-16)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{-181\pm\sqrt{36537}}{-32}[/tex]

Simplify:

[tex]\displaystyle x=\frac{181\pm\sqrt{36537}}{32}[/tex]

Hence, our solutions are:

[tex]\displaystyle x=\frac{181+\sqrt{36537}}{32}\approx 11.63\text{ or } x=\frac{181-\sqrt{36537}}{32}\approx-0.32[/tex]

Since time cannot be negative, we can ignore the second solution.

So, the rocket will hit the ground after about 11.63 seconds.

The circumference of the tire of Melvin’s cycle is 2.5m. He took part in a race of 2km. When
he had covered 1.2km, the tire burst. To finish the race, how many more times should the wheel go
round?

Answers

Answer:

320

Step-by-step explanation:

Distance to go

2km - 1.2 km = 0.8km = 800m

Revolutions needed

800/2.5 = 320

i will give Brainiest if you are right

Answers

the area of the parallelogram is 80in

A =bh
A= 10(8)
A= 80 in^2

Helpp plzz will mark brainleast

Answers

Answer:

It’s the second one

Answer:

a d e

Step-by-step explanation:

hope this helps mark me brainleast :)

Nine people in a square

Answers

If there are nine people in a square, then there will be 3 rows and 3 columns.

Because 3² = 9 or √9 = 3

3 rows and 3 columns

7≥12−g solve for inequality
Plzz help me Its from khan academy

Answers

Answer:

g= 4 and g =5

Step-by-step explanation:

Answer: g = 5 and g = 6

Step-by-step explanation:

trust me </3

There are 6 blue marbles, 7 black marbles, 4 orange marbles, and 3 green marbles in a bag. Once a marble is drawn, it is replaced. Find
the probability of the outcome.
Find P(Blue, Orange, and then Green)

which one is the right answer:

9/1000

3/500

6/35

0

Answers

Answer:

Hello! answer 9/1000

Step-by-step explanation:

All you have to do is multiply the probability of each then you will get your answer so...

6/20 × 4/20 × 3/20 = 9/1000 So thats your probability. Hope that helps!

It took lan three years to collect 25,413 aluminum cans to recycle. In the first year he collected 8,917 cans, and in the second year he collected 7.639 cans Which equation can be used to find x, the number of cans tan collected in the third year? A X = 25,413-8,917 - 7,639 B X = 25,413 +8,917 + 7,639 CX-8,917 +7,639 D 8,917-7,639​

Answers

Answers:

1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer

2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000

3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer

4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer

5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale

6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar

7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar

8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar

Pick the right one.

Francesco built a box to store his baseball cards. The box is shown below.

Francesco needed more storage and built a similar box that was one-half of each the length, the width,
and the height of the first box. By what factor does the change in dimension between the two boxes
affect the volume?

ILL GIVE BRAINLIEST

Answers

Answer:

Option B

Step-by-step explanation:

Scale factor by which the dimensions of the new box was dilated = [tex]\frac{1}{2}[/tex]

In other words, dimension scale factor = [tex]\frac{1}{2}[/tex]

Relation between volume scale factor and dimension scale factor is,

Volume scale factor = (Dimension scale factor)³

Therefore, volume scale factor of the smaller box = [tex](\frac{1}{2})^3[/tex]

                                                                                   = [tex]\frac{1}{8}[/tex]

Since, volume scale factor = [tex]\frac{\text{Volume of the dilated figure}}{\text{Volume of the original figure}}[/tex] = [tex]\frac{1}{8}[/tex]

Therefore, volume of the smaller box = Volume of the larger box

Option B will be the answer.

                                           

Q11. What should be subtracted from -5/3 to get -2/7?
0 29/21
O o C
- 21/29
- 29/21
O 21/29​

Answers

-29/21 is the correct answer

x + 2y = 4
4x + 8y = 64
find how many solutions there is

Answers

Answer:

No solutions

Step-by-step explanation:

Multiply the top equation by 4

4x + 8y = 16

now both equations have the same left hand side

4x + 8y

but one equals 16 the other 64

Therefor: no solutions

Answer:

Step-by-step explanation:

Multiply the top equation by 4

4x + 8y = 16

now both equations have the same left hand side

4x + 8y

but one equals 16 the other 64

          ( simultaneous equations )

what is 2/5 of 2/3 = ​

Answers

Answer:

2/5

Step-by-step explanation:

2/5. 2/3 of a number means that you divide it by 3 and multiply by 2. 3/5 divided by 3 is 1/5. 1/5 multiplied by 2 is 2/5, which is the answer. Hope this helps! :).Hopes this helps. Mark as brainlest plz!

Answer:

.266666... or [tex]\frac{4}{15}[/tex]

Step-by-step explanation:

Multiply the numerator by the other numerator, in this case it would be 2 * 2, to get 4. This is your numerator for the answer.

Then do the same for the denominators. 5 * 3 is 15.

Therefore, your answer is [tex]\frac{4}{15}[/tex]

Hope that this helps!

Ardem collected data from a class survey he then randomly selected samples of five responses to generate for samples​

Answers

Answer:

Step-by-step explanation:

Ardem collected data from a class survey he then randomly selected samples of five responses to generate for samples​

look at picture

Answer:

i dont frickin know the answer

Convert the measurement indicated.
96 in to feet
96 in = 11 ft

Answers

foot ×12 =inch

here,

inch=96

foot=?

now

foot = inch /12

foot = 96/12

foot= 8 ft

Help please ASAP thank you!! your awesome if you help

Answers

Answer:

Perimeter=56 units

Area =196 square unites

Step-by-step explanation:

The diagonal would be 14√2.

The formula for area using the diagonal is 1/2d².

1/2x(14√2)²=1/2x196x2=196

For perimeter, s²+s²=392

2s²=392

s²=196

s=√196

s=14

14x4=56

How many shapes can you make by taking plane sections from a sphere?

Answers

Answer:

One.

Step-by-step explanation:

Every possible plane section of a sphere will produce a circle.

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