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trasher [3.6K]
2 years ago
7

What is the surface area of the right cone below?

Mathematics
1 answer:
8_murik_8 [283]2 years ago
8 0

<h2>\red{Solution} \blue \longrightarrow</h2>

Total surface area of cone is 176π

<h3>Explanation:</h3>

Surface area of curved surface of a cone is give by π⋅r.l , where r is the radius and l is the slant height of the cone.

Hence surface area of curved surface of a cone is π×8×14=112π .

As surface area of base is π×82=64π .

Hence total surface area is 112π+64π=176π

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A triangle has a perimeter of 90 centimeters write and use a linear system
lawyer [7]

We are given sides of the triangle by expression

First side : n

Second side : m = 5n-5.

Third side : l = 5/4 m - n.

Perimeter is 90.

Therefore, first equation could be set :

n +m +l = 90   --------------equation(1)

Second equation would be

m = 5n-5        --------------equation(2)

Third equation would be

l = 5/4 m - n   --------------equation(3)

Let us solve the system of equations by substitution.

Substituting m = 5n-5 and l = 5/4 m - n in first equation.

We get

n +5n-5 +5/4 m - n= 90

Now, substituting m = 5n-5 in above equation we get

n +5n-5 +5/4 (5n-5) - n= 90

5n + 25n/4 -5 - 25/4 =90

5n + 6.25n -5-6.25 = 90.

11.25n-11.25 = 90

Adding 11.25 on both sides, we get

11.25n-11.25+11.25 = 90+11.25

11.25n = 101.25.

Dividing both sides by 11.25, we get

n=9.

Plugging n=9 in 2nd equation.

m = 5(9)-5 = 45 -5 = 40.

Plugging n=9 and m=40 in first equation, we get

9 +40 +l = 90

49 +l = 90.

Subtracting 49 from both sides, we get

49-49 +l = 90-49

l = 41.

Therefore, sides are of lengths l = 41, m= 40 and n=9.


5 0
3 years ago
I NEED ANSWER ASAP! I HAVE A LOT OF POINTS, I WILL GIVE 50 POINTS AND BRAINLIEST TO FIRST ANSWERRRRRR!
Mekhanik [1.2K]

Answer:

A) A = 1; B = 0; C = 20

Step-by-step explanation:

The standard form for a quadratic is

Ax^2 +Bx +C=0

We are given

1/4x^2 + 5 = 0

Rewriting

1/4x^2 +0x+ 5 = 0

A = 1/4  B=0 C=5

We can multiply each side by 4

4(1/4x^2 +0x+ 5) = 0*4

x^2 +0x+ 20 = 0

A = 1  B=0 C=20

7 0
3 years ago
Read 2 more answers
After 4,000 gallons of water were added to a large water tank that was already filled to 3/4 of its capacity, the tank was then
dangina [55]

Answer:  The correct option is

(E) 80,000.

Step-by-step explanation:  Given that after adding 4,000 gallons of water to a large tank that was already filled to \dfrac{3}{4} of its capacity, the tank was then at \drac{4}{5} of its capacity.

We are to find the number of gallons of water that the tank hold when filled to capacity.

Let the tank can hold x gallons of water when filled to capacity.

Then, according to the given information, we have

\dfrac{3}{4}x+4000=\dfrac{4}{5}x\\\\\\\Rightarrow \dfrac{4}{5}x-\dfrac{3}{4}x=4000\\\\\\\Rightarrow \dfrac{16-15}{20}x=4000\\\\\Rightarrow x=4000\times20\\\\\Rightarrow x=80000.

Thus, the required capacity of the tank is 80,000 gallons of water.

Option (E) is CORRECT.

4 0
3 years ago
Please help with the precalc question above...
Sonja [21]

Answer:

the last choice

Step-by-step explanation:

two functions are said to be inverse when they are symmetric about the line y=x

4 0
3 years ago
PLEASE HELP 30 POINTS
Gelneren [198K]

Answer:

3 + 1(3) +3 (the dollar amounts)

3+3+3

9

0.5 + 0.1 +0.1 +0.1 +0.5 (the cents)

1.3

9 +1.3 = 10.30 worth of groceries using front end estimation

3 0
3 years ago
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