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3 years ago

Please help me with this problem and thank you Find the lateral area of this cone leave your answer in terms of pie

Mathematics

2 answers:

alexandr1967 [171]3 years ago

6 0

9514 1404 393

Answer:

260π in²

Step-by-step explanation:

The slant height is the hypotenuse of a right triangle with legs 10 and 24. Using the Pythagorean theorem, we find it to be ...

l² = 10² +24² = 100 +576 = 676

l = √676 = 26

The given formula tells you the lateral area is ...

A = πrl = π(10 in)(26 in)

A = 260π in² . . . . . cone's lateral area

_____

<em>Additional comment</em>

The name of the constant relating diameter to circumference (π) is "pi". It is the 16th letter of the Greek alphabet. "Pie" is something else entirely.

Yuki888 [10]3 years ago

6 0

Answer:

260 $\pi in^{2}$

Step-by-step explanation:

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Solve these simultaneous equations:

ivolga24 [154]

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

4 0

2 years ago

On a number line what is the difference between -3/7 and -2/3?

Yakvenalex [24]

Answer: -5/21

Step-by-step explanation:

-3/7 & -4/6

common detonator is 42

-3/7 = -18/42 reduced to -9/21

-4/6 = -28/42 reduced to -14/21

difference between -9/21 and -14/21 = -5/21

4 0

3 years ago

Tell whether the angles are adjacent or vertical. Then find the value of x.

krok68 [10]

Answer : The angles are vertical angles and the value of x is $25^o$

Step-by-step explanation :

Adjacent angles : It is defined as the two angles that have the common arm and common vertex.

Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.

And we know that the vertically opposite angles are equal.

In the given image, the angles are vertical angles and vertically opposite angles are equal.

So,

$(4x-25)^o=75^o$

$4x-25^o=75^o$

$4x=75^o+25^o$

$4x=100^o$

$x=\frac{100^o}{4}$

$x=25^o$

Therefore, the angles are vertical angles and the value of x is $25^o$

6 0

3 years ago

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zubka84 [21]

So you make your equation 4x+20+40=180.
Add like terms and get 4x+60=180.
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