Miguel did the following math problem: 65 ∙ 64 = 369. Which of the following is a true statement

Mathematics

2 answers:

leva [86]3 years ago

7 0

C. He is incorrect because he multiplied the bases

alexdok [17]3 years ago

4 0

C. is the answer to the question

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5. What is ADCA? A Acute C Equiangular D Not here B Obtuse

Alex787 [66]

B is an Obtuse angle! and I’m 100% sure!

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3 years ago

The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 60 mm

mina [271]

Answer:

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

In this question:

We have to derivate V and r implicitly in function of time, so:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

The radius of a sphere is increasing at a rate of 3 mm/s.

This means that $\frac{dr}{dt} = 3$

How fast is the volume increasing when the diameter is 60 mm?

Radius is half the diameter, so $r = 30$ . We have to find $\frac{dV}{dt}$ . So

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$\frac{dV}{dt} = 4\pi (30)^2(3) = 33929.3$

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

5 0

2 years ago

I DON’T GET THIS ONLY NEED NUMBER 6 PLEASEEE!!!!!

Sophie [7]

$\huge\text{Hey there!}$

$\huge\text{The word \bf{product}}\huge\text{ means multiply in}\\\huge\text{mathematics.}$

$\huge\text{The number is unknown so we can label}\\\huge\text{it as: x}$

$\huge\text{Your equation will be setup like this: -2.5x = 60}$

$\text{-2.5x = 60}\\\text{First divide both sides by -2.5}\rightarrow\dfrac{-2.5\text{x}}{-2.5} = \dfrac{60}{-2.5}\\\text{Cancel out:}\dfrac{2.5\text{x}}{2.5}\text{ because it equals 1}\\\\\text{Keep:}\dfrac{60}{-2.5}\text{because it helps us find the unknown number}\\\\\\\boxed{\boxed{\text{Answer: x = -24}}}\checkmark$