Solve the equation: 13W - 2(4W + 1) = W - 58 *
2 answers:
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First question:
The line segment that is 40 ft long is a tangent to the circle, meaning it creates a right angle with the radius that intersects it.
Let be the radius of the circle.
We have a right triangle where the legs are and
, and the hypotenuse is
I'm hoping you remember the Pythagorean Theorem because this is going to be an important equation for this problem (and the next).
Let's use the dimensions of the right triangle and create a Pythagorean Theorem truth statement:
Simplify the right side so it's easier to solve
Subtract both sides by r²
Subtract both sides by 400
Divide both sides by 40
The value of r is 30, meaning the radius is 30 feet.
Second question:
Please look at the attached image, it would be too hard to try and describe this in words.
We have a right triangle where the legs have a length of 3.6 and half of the length of KL, which is 4.
The hypotenuse is the radius, x.
Use Pythagorean Theorem's to solve for x
Simplify
Use a calculator to take the square root of 28.96
The image is not complete so I can't see how I have to round it, so here are a few different ways this could be rounded:
- To the nearest tenths:
- To the nearest hundredths:
- To the nearest thousandths:
Answerer's Note:
I'm so sorry this took so long to answer. Let me know if you need any clarifications, thanks!
~ Padoru
Answer:
Cost = 616000 DHS per square centimetre.
Step-by-step explanation:
curved surface of a cylinder = 2rh
r = 7 cm
h = 1400 m = 140000 cm
The outer curved surface area of the cylinder = inner curved surface area of the cylinder
The inner curved surface of the cylinder = 2rh
= 2 x x 7 x 140000
= 2 x 22 x 1 x 140000
= 6160000
The inner curved surface of the cylinder is 6160000 square centimetre.
But, the cost of painting is at the rate of 10 DHS per square centimetre.
The inner curved surface of the cylinder = 6.16 x square centimetre.
cost of painting the inner curved surface area =
= 616000 DHS per square centimetre
The cost of painting the inner surface is 616000 DHS per square centimetre.