Answer:
1
Step-by-step explanation:
Answer: 
Step-by-step explanation:
The formula for the lateral area of a cone
is:

Where:
is the radius of the circular base of the cone
As we know its diameter
, its radius is 
is the height of the cone

This is the lateral area of the volcano with the shape of a cone
A = 1/2 * b * h
A = 178.5
b = h + 4
178.5 = 1/2 * (h + 4) * h
357 = h^2 + 4h
h^2 + 4h - 357 = 0
(h - 17)(h + 21) = 0
h - 17 = 0
h = 17
h + 21 = 0
h = -21 .....not this one because it is negative
b = h + 4
b = 17 + 4
b = 21
so the height is 17 inches and the base is 21 inches <==
Answer:
The value of x is 2 and y is (-5)
Step-by-step explanation:
<h3><u>Given</u>;</h3>
- -7x + y = – 19
- -2x + 3y = – 19
<h3><u>To </u><u>Find</u>;</h3>
<h3><u>B</u>y<u> </u><u>Usin</u>g<u> </u><u>Elimination</u><u> </u><u>Method</u>;</h3>
First name the equation
- -7x + y = – 19 ...(1)
- -2x + 3y = – 19 ...(2)
Now, Multiply equation (1) by 3 we get,
3 × (-7x + y = – 19)
-21x + 3y = – 57
Now, Eliminate
-21x + 3y = – 57
-2x + 3y = – 19
<u>+</u><u> </u><u> </u><u> </u><u> </u><u>–</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>+</u><u> </u><u> </u><u> </u><u> </u>
-19x = -38
x = -38/-19
x = 2
Now, Put the value of x in equation (2) we get the value of y.
-7x + y = – 19
-7(2) + y = – 19
-14 + y = -19
-14 + 14 + y = -19 + 14
y = -5
Thus, The value of x is (-5) and the value of y is 2.
<h3>
<u>For </u><u>Verification</u>;</h3>
-7x + y = – 19
-7(2) + (-5) = – 19
-14 – 5 = – 19
-19 = -19
-2x + 3y = – 19
-2(2) + 3(-5) = – 19
-4 – 15 = – 19
-19 = -19
Here, L.H.S = R.H.S
Hence Verified!
<u>-TheUnknownScientist 72</u>