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3 years ago

Equations and Inequalities One-Pager

Mathematics

1 answer:

quester [9]3 years ago

3 0

Could I see a picture cause not sure

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1) Find the values of 'a' and 'b' for the given parallelogram *

nataly862011 [7]

Answer:

first option

Step-by-step explanation:

In a parallelogram consecutive angle are supplementary, sum to 180, so

2a + 122 = 180 ( subtract 122 from both sides )

2a = 58 ( divide both sides by 2 )

a = 29

---------------

In a parallelogram the opposite sides are congruent, then

b + 6 = 10 ( subtract 6 from both sides )

b = 4

5 0

3 years ago

When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units, the radius is...

enot [183]

Answer:

c. $\frac{1}{\pi}$

Step-by-step explanation:

We have been given that the area in square units of an expanding circle is increasing twice as fast as its radius in linear units

We will use derivatives to solve our given problem.

We know that area (A) of a circle is equal to $A=\pi r^2$ .

Let us find derivative of area function with respect to time.

$\frac{dA}{dt}=\frac{d}{dt}(\pi r^2)$

Bring out constant:

$\frac{dA}{dt}=\pi \frac{d}{dt}(r^2)$

Using power rule and chain rule, we will get:

$\frac{dA}{dt}=\pi(2r)* \frac{dr}{dt}$

$\frac{dA}{dt}=2\pi r*\frac{dr}{dt}$ Here $\frac{dr}{dt}$ represents change is radius with respect to time.

We have been given that area of an expanding circle is increasing twice as fast as its radius in linear units. We can represent this information in an equation as:

$\frac{dA}{dt}=2\frac{dr}{dt}$

$2\pi r* \frac{dr}{dt}=2\frac{dr}{dt}$

$2\pi r=2$

$\frac{2\pi r}{2\pi}=\frac{2}{2\pi}$

$r=\frac{1}{\pi}$

Therefore, the radius is $\frac{1}{\pi}$ and option 'c' is the correct choice.

6 0

3 years ago

The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following i

Nostrana [21]

The answer is 22. try to figure it out:)

6 0

3 years ago

4^3 x4^5 A.16^8 B.16x15 C.4^15 D.4^8

n200080 [17]

the answer is in the picture

8 0

3 years ago

Read 2 more answers

Solve 5 ( 2y + 7 )= 20

rodikova [14]

5(2y + 7) = 20
5(2y) + 5(7) = 20
10y + 35 = 20
 -35 -35
 10y = -15
 10 10
 y = -1 1/2

4 0

3 years ago