Answer:
394.9 cm
Step-by-step explanation:
The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).
r = radius
h = height
The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.
Plug in the values.
a(unknown)^2 + 6^2 = 15^2
A + 36 = 255
255 - 36 = 189
√189 ≈ 13.7
Surface area formula, plug in the values.
A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )
*PEMDAS*
A = 3.14 × 6 ( 6 + √36 + 187.69 )
A = 3.14 × 6 ( 6 + √223.69 )
A = 3.14 × 6 ( 6 + 14.95 )
A = 3.14 × 6 ( 20.96 )
A = 3.14 × 125.76
A = 394.8864
*round to nearest tenth*
A = 394.9 cm
Hope this helps! :)
Answer:
$700
Step-by-step explanation:
So, I like to extract the information we know and form it into an equation.
So we know that after multiplying what you have in the bank by 4, then add 200 dollars you get two thousand dollars less than a fourth of what's in your dad's bank account.
Your dad has $20,000 in the bank.
Before we write the equation let's find what two thousand less than a fourth of 20,000 is.
20,000/4 = 5,000
Now, 5,000 - 2,000 = 3,000
Ok let's say x is how much money you have
So:
4x + 200 = 3,000
we can isolate the variable by subtracting 200 from both sides
4x = 2,800
then we can divide by 4 on each side
x = 700
so you have $700 in the bank
A. The independent variable is time, as time is manipulating the value of her salary.
b. The dependent variable is her cost because what she charges for babysitting depends on how long she works.
c. y = 8x
y = how much she charges for this job
8 = the amount she charges per hour
x = number of hours babysat
Answer:
the triangle PQR is similar to RTS
Step-by-step explanation:
QR : RT
2 : 6
this 1:3 ratio is also seen in PR (4) with RS (12)
