Ask question

Ask question

All categories

Natasha_Volkova [10]

3 years ago

12

The length of a rectangle is increasing at a rate of 6 cm/s and the width is increasing at a rate of 4 cm/s. when the length is

16 cm and the width is 12 cm, how fast is the area of the rectangle increasing?

1 answer:

alukav5142 [94]3 years ago

7 0

The area is 192 and the speed it’s increasing at is 24 cm^2/s

You might be interested in

a container of candy is shaped like a cylinder and has a volume of 125.6 cubic centimeters. If the heights of the container is 1

Elenna [48]

The radius of the container is 2 centimeter

<h3><u>Solution:</u></h3>

Given that a container of candy is shaped like a cylinder

Given that volume = 125.6 cubic centimeters

Height of conatiner = 10 centimeter

To find: radius of the container

We can use volume of cylinder formula and obatin the radius value

<em><u>The volume of cylinder is given as:</u></em>

$\text {volume of cylinder }=\pi r^{2} h$

Where "r" is the radius of cylinder

"h" is the height of cylinder and $\pi$ is constant has value 3.14

Substituting the values in formula, we get

$\begin{array}{l}{125.6=3.14 \times r^{2} \times 10} \\\\ {r^{2}=\frac{125.6}{31.4}} \\\\ {r^{2}=4}\end{array}$

Taking square root on both sides,

$r = \sqrt{4}\\\\r = 2$

Thus the radius of the container is 2 centimeter

4 0

2 years ago

What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?

joja [24]

Answer:

23rd term of the arithmetic sequence is 118.

Step-by-step explanation:

In this question we have been given first term a1 = 8 and 9th term a9 = 48

we have to find the 23rd term of this arithmetic sequence.

Since in an arithmetic sequence

$T_{n}=a+(n-1)d$

here a = first term

n = number of term

d = common difference

since 9th term a9 = 48

48 = 8 + (9-1)d

8d = 48 - 8 = 40

d = 40/8 = 5

Now $T_{23}= a + (n-1)d$

= 8 + (23 -1)5 = 8 + 22×5 = 8 + 110 = 118

Therefore 23rd term of the sequence is 118.

4 0

2 years ago

Need the answer to<br> 0.1×n equal89.5

ASHA 777 [7]

Answer:

this has been answered before

Step-by-step explanation:

brainly.com/question/805954

8 0

2 years ago

4.) Order the following decimals from greatest to least.<br> 15.9<br> 9.5<br> 1.95<br> 9.15<br> 1.59

olya-2409 [2.1K]

1.59, 1.95, 9.15, 9.5, 15.9

3 0

2 years ago

Solve 47 (math operation)

Alchen [17]

Answer:

t ≈ -2.014 or 3.647

Step-by-step explanation:

Add the opposite of the expression on the right side of the equal sign to put the equation into standard form.

4.9t² -8t -36 = 0

You can divide by 4.9 to make this a little easier to solve.

t² -(8/4.9)t -36/4.9 = 0

Now, add and subtract the square of half the x-coefficient to "complete the square."

t² -(8/4.9)t +(4/4.9)² -36/4.9 -(4/4.9)² = 0

(t -4/4.9)² -192.4/4.9² = 0 . . . . simplify

Add the constant term, then take the square root.

(t -4/4.9)² = 192.4/4.9²

t -4/4.9 = ±(√192.4)/4.9

t = (4 ± √192.4)/4.9

t ≈ {-2.014, 3.647}

8 0

2 years ago