Answer: The diameter is increasing at a rate of 5.33 centimeters per hour when the radius of the sphere is 3 centimeters.
Step-by-step explanation: Please see the attachments below
Answer:
Solution:
Mouse ran 360 cm straight course race in 9 seconds.
We need to find the rate or speed of mouse
We know the speed formula is distance covered by given time.
Where,
Distance = 360 cm
Time = 9 seconds
speed
Speed=40 cm/s
Mouse ran with speed 40 cm/s
Answer:
The expression is irrational.
Step-by-step explanation:
Irrational and rational numbers are all real numbers. However, rational numbers can also be expressed in terms of a fraction where as irrational numbers are composed of non-terminating and non-repeating decimals. So, irrational numbers are numbers that when calculated produce a decimal that has no end and has no pattern of repetition. Anytime you calculate with an irrational number, no matter multiplication, division, subtraction or addition, the answer will always be irrational. In the given expression, is an irrational number because it is an imperfect square and will produce a non-terminating and non-repeating decimal when solved:
= 1.7320508...
Since the expression contains an irrational number, the solution must also be irrational.
Answer:
5.946 cm
Step-by-step explanation:
Using the Pythagorean Theorem, we know that in a right angle triangle to find the longest side we must use the equation a^2 = b^2 + c^2
A is the longest side while b and c are the other two sides
To find one side we must use
b^2 = a^2 - c^2
a squared = 6.9 squared - 3.5 squared
a^2 = 35.36
square root 35.36 to get a
a = 5.946427499
a (3 d.p.) = 5.946