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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

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Write an equation in slope-intercept form for the line with slope 4/3 and -3 intercept .

mojhsa [17]

Answer:

The equation would be y = 4/3x - 3

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3 years ago

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3 years ago

Read 2 more answers

Jim has 5 computer science books and 3 math books. he has room to arrange four of them on a shelf. he wants at least two compute

zysi [14]

Answer: There are 60 different ways that he can arrange the books.

Step-by-step explanation:

Since we have given that

Number of computer science books = 5

Number of math books = 3

Number of books selected = 4

Atleast Number of computer science = 2

Atleast number of math book = 1

According to question, he wants at least two computer science books and at least one math book, and he wants to keep the computer science books and the math books together.

So, Number of different ways that he can arrange the books is given by

$^5C_2\times ^3C_2+^5C_3\times ^3C_1\\\\=30+30\\\\=60$

Hence, there are 60 different ways that he can arrange the books.

8 0

3 years ago

If measure KL=136 and measure LH= 113. find measure angle KJH

notka56 [123]

Answer:

D) 111

Step-by-step explanation:

In order to find ∠KJH we must find the measure of arc KH

Note that ∠KJH is a central angle and arc KH is the arc it intercepts

Because ∠KJH is a central angle it equal the measure of its intercepted arc

Thus, ∠KJH = arc KH

J is a circle that is made up of 3 arc; KL, LH and KH

If you didn't know the sum of the arcs in a circle = 360°

Which means that arc KL + arc LH + arc KH = 360

If arc KL = 136 and arc LH = 113

Then 136 + 113 + arc KH = 360

^ ( note that we just created an equation that we can use to

solve for arc KH )

We now solve for arc KH

136 + 113 + arc KH = 360

* combine like terms *

136 + 113 = 249

we now have 249 + arc KH = 360

* subtract 249 from each side *

249 - 249 cancels out

360 - 249 = 111

We're left with arc KH = 111°

Like stated previously arc KH = ∠KJH

Hence, ∠KJH = 111°

8 0

2 years ago

What is the measure of ZA?<br> What is the measure of ZB?

slamgirl [31]

Answer:

$m\angle A = 72\degree \\m\angle B = 108\degree$

Step-by-step explanation:

ABCD is a parallelogram.

Since, opposite angles of a parallelogram are congruent.

$\therefore m\angle A = m\angle C\\\therefore (5y-3)\degree = (3y+27)\degree \\\therefore 5y - 3= 3y +27\\\therefore 5y-3y = 27+3\\\therefore 2y = 30\\\\\therefore y = \frac{30}{2} \\\\\therefore y = 15\\\because m\angle A = (5y-3)\degree \\\therefore m\angle A = (5\times 15-3)\degree \\\therefore m\angle A = (75-3)\degree \\\huge{\red {\boxed {\therefore m\angle A = 72\degree}}} \\\\\because m\angle A + m\angle B = 180\degree(opposite \: \angle 's\: of\:a\: \parallel ^{gm}) \\\therefore m\angle B = 180\degree - 72\degree \\\huge{\purple {\boxed {\therefore m\angle B = 108\degree}}}$

8 0

3 years ago