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Nat2105 [25]
3 years ago
13

Find the slant height l of the cone given the surface area S.

Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0

9514 1404 393

Answer:

  15 cm

Step-by-step explanation:

The formula for the surface area of the cone is ...

  A = πr² +πrL =  πr(r +L)

The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...

  126π cm² = π(6 cm)(6 cm +L)

  21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm

  15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm

The slant height is 15 centimeters.

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Amira wants to ride her bicycle 48 miles this week. She has already ridden 18 miles. If she rides for 5 more days, write and sol
sergij07 [2.7K]
Answer is 6 miles per day
Answer is equation 48 = (x)(5) + 18

Step by step

You can use y intercept equation
y = mx + b

y = 48 total miles
m = rate of miles unknown
x = 5 days
b = starting point of 18 miles already ridden

48 = (x) (5) + 18

48 = 5x + 18

Subtract 18 from both sides to isolate the variable

48 - 18 = 5x + 18 - 18

30 = 5x

Now divide both sides by 5 to solve for x

30/5 = 5/5 x

X = 6 miles per day

Check your work, substitute 6 for x in your equation

48 = (6) (5) + 18
48 = 30 + 18
48 = 48

Problem solved!!
5 0
2 years ago
If Jana bikes 15 miles in 50 minutes. How can you find the number of miles she bikes in one hour?
adell [148]

Answer:

Therefore,

Jana bikes 18 miles in one hour.

Step-by-step explanation:

Given:

Jana bikes,

15 miles  ---------------> in 50 minutes

To Find:

How many miles  ------------------> in 1 hour = 60 minutes

Solution:

Let 'x' miles Jana Bikes in 1 hour or 60 minutes

As, 1 hour = 60 minutes

The Ratio of Equation will be

\dfrac{15}{x}=\dfrac{50}{60}

Cross Multiplying we get

x=\dfrac{900}{50}=18\ miles

Therefore,

Jana bikes 18 miles in one hour.

8 0
3 years ago
I= ?<br> W= 3/4<br> H= 4<br><br> Volume= 4 1/2<br><br> An explanation would be nice
olya-2409 [2.1K]

Answer:

1.5 or 3/2

Step-by-step explanation:

V = l x w x h

4 1/3 = 3/4 x 4 x L

3/4x4 = 3  

3L = 4 1/2

Divide by 3

Length = 1.5 or 3/2

7 0
3 years ago
The convex polygon below has 6 sides. Find the value of x.
MAVERICK [17]

Answer:

it is.............1180 :]

8 0
3 years ago
In a film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. He wittily
yanalaym [24]

Answer:the uncle is 54 years old.

The woman is 18 years old

Step-by-step explanation:

Let x represent the age of the uncle.

Let y represent the age of the woman that he married.

In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that

x = 3y

He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that

x + 18 = 2(y + 18)

x + 18 = 2y + 36 - - - - - - - - - - 1

Substituting x = 3y into equation 1, it becomes

3y + 18 = 2y + 36

3y - 2y = 36 - 18

y = 18

x = 3y = 3 × 18

x = 54

6 0
3 years ago
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