Which math expression means "the product of 16 and 26"?

The rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.

To find the rate at which the diagonal of the rectangle is increasing, we can use the relationship between the sides of the rectangle, its area, and the diagonal.

Given that Height of the rectangle (h) = 5 cm

The rate at which the base is increasing (db/dt) = 3/2 cm/min

Area of the rectangle (A) = 60 cm²

We can determine the base (b) using the formula for the area of a rectangle:

A = b x h

60 = b x 5

b = 12 cm

Next, the Pythagorean theorem:

d² = b² + h²

d² = 12² + 5²

d² = 144 + 25

d² = 169

d = 13 cm

Now, to determine the rate at which the diagonal is increasing (dd/dt), we can differentiate the equation for the diagonal with respect to time:

d² = b² + h²

2d x (dd/dt) = 2b x (db/dt) + 0 x (dh/dt)

2d x (dd/dt) = 2b x (db/dt)

(dd/dt) = (b (db/dt)) / d

Substituting the known values:

(dd/dt) = (12 x (3/2)) / 13

(dd/dt) = 36/26

(dd/dt) = 18/13 cm/min

Therefore, the rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.

Learn more about rate of change here:

https://brainly.com/question/19167959

#SPJ4

Answer:

h = 100

Step-by-step explanation:

plz mark my answer as brainlist plzzzz vote me also

Answer:

100°

Step-by-step explanation:

Ok so it looks overwhelming at first, but you just need to make sections and break it down

You are looking for h°, so you want to make it a triangle

The angles of this triangle would be h°, 40°, and x°

You can find x° by using the 140° on the same line

it is a straight line, so that means its angle is 180°

180° - 140° = 40°

x° = 40 °

so now you know that the angles in the triangle are h°, 40°, and 40°

Every triangle has angles that measure to 180°

180° - 40° - 40° = 100°

h° = 100°

[tex]the \: surface \: area \: of \: both \: cone = 2(\pi{rl} + \pi{ {r}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = 2(\pi{( \frac{1.4}{2} )(2.7)} + \pi{ {( \frac{1.4}{2} )}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = \boxed{4.76\pi} \\ \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{rl} +2 \pi{ {r}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{( \frac{1.4}{2} )(7.5)} +2 \pi{ {( \frac{1.4}{2} )}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = \boxed{11.48\pi} \\ \\ therefore \: the \: surface \: area \: of \: the \: composite \: object \: = \boxed{4.76\pi + 11.48\pi} \\ the \: surface \: area \: of \: the \: composite \: object \: = \boxed{16.24\pi}[/tex]

Answer:-3

Step-by-step explanation:

Answer:

0 solutions

Step-by-step explanation:

when the 2 equations aresolved they get cancelled off each other.

Answer:

Infinite solutions

Step-by-step explanation:

got it right

Answer: 17

Step-by-step explanation:

F( -2) = 17 ( 3 -2)

= 17 (1)

=17

Answer: I think it’s 0.1 or 1/10 but I’m kinda confused

Step-by-step explanation: someone pls correct me if I’m wrong

1/2 is 0.5

2/5 is 0.4

0.5-0.4=0.1

0.1=1/10

1/10 of carrot, fluffy will eat at night.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator, below one is called denominator

Given,

Fluffy bunny ate 1/2 of a carrot in the morning

By the end of the day he ate 2/5 of left carrot = 2/5

Whole carrot can be considered as 1.

Carrot left after eating 1/2 of it in the morning

= 1 - 1/2

= 1/2

Carrot left after eating 2/5 part

= 1/2 - 2/5

= (5 - 4)/10

= 1/10

Hence, fluffy ate 1/10 of carrot at night.

Learn more about fraction here:

https://brainly.com/question/8482939

#SPJ2

Answer:

The answer is 306

Step-by-step explanation:

(−18)(−17)

=306

Answer:

93.06

Step-by-step explanation:

86.56 + 45.38 = 131.94

225 - 131.94 = 93.06

Answer:

x =2.39

Step-by-step explanation:

;D

Answer:

the answer is 48m^2!

Step-by-step explanation:

Answer:

The answer is 35299.88. Hope this helps

Answer:

Step-by-step explanation:

The width of the basketball court is given by W(A) = √(A/2), and the length is given by L(A) = √(2A). These expressions allow you to calculate the width and length of the court for a given area A in square feet.

The problem states that the width of the basketball court (W) can be modeled by the equation:

W(A) = √(A/2)

where A is the area of the court in square feet.

Since the length (L) of the basketball court is twice the width (W), we can express it as:

L = 2W

Now, let's find the expression for the length (L) in terms of the area (A) of the court.

Step 1: Substitute the value of W from the given model into the expression for L:

L = 2 × √(A/2)

Step 2: Simplify the expression:

L = √(4A/2)

L = √(2A)

So, the expression for the length (L) of the basketball court in terms of its area (A) is given by L = √(2A).

To summarize, the width of the basketball court is given by W(A) = √(A/2), and the length is given by L(A) = √(2A). These expressions allow you to calculate the width and length of the court for a given area A in square feet.

To know more about width

https://brainly.com/question/15161439

#SPJ2

Complete question :- A community is building a new outdoor basketball court. The length of the court is twice the width. The width of the basketball court in feet can be modeled by w(A)= √A/2 where a is the area in square feet of the court.

Answer:

165*6+53+792= 990+845 = 1,835

Step-by-step explanation:

Complete question : Aaron ran 5/8 mile to his friend's house. Then he ran another 1/4 mile to the park. Find Aaron's total miles ran?

Answer:

7/8 miles

Step-by-step explanation:

Given that:

Distance to friend's house = 5/8 miles

Then, Distance to park = 1/4 miles

Total. Distance ran :

(5/8 + 1/4)

L.C.M of 4 and 8 = 8

(5 + 2) / 8 = 7/8 miles

Total distance ran = 7/8 miles

Answer:

L=6x^2-4x+5

P=12x^2-4x-2

Step-by-step explanation:

A=WL

So, we know the area is 6x^2-8x-30 and the width is 2x-6

Substitute

(6x^2-8x-30)=(2x-6)(L)

L=(6x^2-8x-30)/(2x-6

Divide

L=6x^2-4x+5

P=2L+2W

Substitute

P=2(6x^2-4x+5)+2(2x-6)

P=12×^2-8x+10+4x-12

Simplify

P=12x^2-4x-2

Answer:

8 = x

y = 29

Step-by-step explanation:

4x + 17 = y + 20 because vertical angles theorem.

y + 20 = 5x + 9  because interior angles theorem.

4x + 17 = 5x + 9  because same side interior angles theorem.

Subtract 9 from both sides and subtract 4x from both sides.

8 = x

Plug 8 in for x and solve.

5 times 8 is 40, plus 9 equals 49. Subtract 20 from both sides and you get 29.

5(8) + 9 = y + 20

49 = y + 20

29 = y

I hope this helps!

#teamtrees #WAP (Water And Plant)

Answer:

[tex]for \: answer \: see \: the \: pic \: along \\ \: with \: it. \\ \\ \\ hope \: it \: helps \: \\plz\: mark \: as \: brainliest \: answer..[/tex]

Answer:

$6889.89

Step-by-step explanation:

6321/100=63.21

63.21x4.5=284.445

284.445x5=568.89

568.89+6321=$6889.89

Answer: greater than, the same as

Step-by-step explanation:

The solution is : After 7 weeks, Mia's office will have recycled 21 pounds.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

With the information provided, you can use a rule of three to find the pounds of paper that Mia's office will have recycled after 7 weeks given that they recycled 9 pounds over 3 weeks.

3 weeks  →  9 pounds

7 weeks  →         x

x=(7*9)/3

x=21

According this, the answer is that after 7 weeks, Mia's office will have recycled 21 pounds.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Complete question:

Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have recycled? Choices: 24 21 15 18

Answer: it's B

Step-by-step explanation:

Answer:

D) 9 9/20

Step-by-step explanation:

Step 1:

4 3/4 + 3.8 + (2 3/5 - 1.7)

Step 2:  Order of Operation (AKA PEMDAS)

4 3/4 + 3.8 + (2 3/5 - 1.7)

Step 3:

4 3/4 + 3.8 + (9/10)

Step 4: Add it all up

4 3/4 + 3.8 + (9/10) = 9 9/20

Let [tex]p[/tex] and [tex]q[/tex] be two numbers, such that

[tex]10000 < 210p < 11000, \quad 10000 < 210q < 11000[/tex]

If [tex]p[/tex] and [tex]q[/tex] have no common factors, the greatest common factor between [tex]210p[/tex] and [tex]210 q[/tex] is obviously 210.

If we divide the inequalities above by 210, we see that

[tex]\dfrac{10000}{210} < p < \dfrac{11000}{210}, \quad \dfrac{10000}{210}< q< \dfrac{11000}{210}[/tex]

And rounding to the nearest integer, we deduce that [tex]p[/tex] and [tex]q[/tex] must be between 48 and 52.

We may pick [tex]p=49[/tex] and [tex]q=50[/tex], because they have no common factors. So, our numbers would be

[tex]210\cdot 49=10290,\quad 210\cdot 50=10500[/tex]

Answer:

x=10

Step-by-step explanation:

Answer:

it is 10 :)

Step-by-step explanation:

Answer:

Jenn:   12/30 incorrect  18/30 correct

Mara.    8/24 incorrect   16/24 correct

Step-by-step explanation:

Could you ask the question???? This isn’t a questions it more like a statement so I tried to do my best and I just made them into fractions

Answer:

b = 498

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

b = 45.95d + 38.5

d = 10 days

Step 2: Evaluate

Answer:

498 dollars

Step-by-step explanation:

So just plug in the 10 in the equation for D

45.95*10+38.5

Now just solve using order of operations

You would get 498

Answer:

Put a picture Then I can help hun

Step-by-step explanation:

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

Answer: 12

Step-by-step explanation:

Answer:

it is D) 25

Step-by-step explanation:

Answer:

B.)  Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after lunch.

D.)  The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.

Step-by-step explanation:

These are all the random ones I picked.

The two methods that can be adopted are Option 1 and 3

Random Sampling is the sampling method where samples are chosen randomly.

each unit has an equal chance of being selected in a sample.

It is given that

One hundred people are recruited for an experimental study to determine whether

exercising 30 minutes before lunch or 30 minutes after lunch will help improve heart health more.

They will be split into two groups that do not necessarily need to be the same size

the methods that can be used to randomly assign people in the experimental study into two groups.

1. Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after lunch

2.The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.

Therefore Option 1 and 3 are the two methods that can be adopted.

To know more about Random Sampling

https://brainly.com/question/12719656

#SPJ2

Answer:

0.29166666666

Step-by-step explanation:

Answer:

0.29166666666

Your answer...