(a) The area of a rectangular parking lot is 3657 m².
If the width of the parking lot is 53 m, what is its length?

Answers

Answer 1

Answer:

69 m

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×width}}[/tex]

Given that the area is 3657 m² and the width is 53 m,

3657= length ×53

Divide both sides by 53:

length= 3657 ÷53

length= 69 m


Related Questions

The value of a graphed function doubles for each increase of 1 in the value of x. Which of the following could be the parent function of the graphed function? y = 2 Superscript x y = x squared y = StartAbsoluteValue x EndAbsoluteValue y = StartRoot x EndRoot

Answers

The parent function of the graph is an exponential function

The equation of the parent function could be  y = 2^x

How to determine the possible parent function?

From the question, we understand that:

y doubles, as x increases by 1

The above means that the parent function is an exponential function that has a rate of 2

So, we have:

y = 2^x

Hence, the equation of the parent function could be  y = 2^x

Read more about parent functions at:

https://brainly.com/question/17586310

Answer:

It's not b

Step-by-step explanation:

Picked b like that guy said and got it wrong on edge 2022


Approximately how many
years would it take for an
investment of $1,000 to grow
to $1,500 with a simple
interest rate of 8%?

Answers

Approximately 5 to 6 years.

11
12
10
7
8
6
5
29 and 22
23 and 22
26 and 23
21 and 27
Submit
Work it out

Answers

Answer: Angle 3 and Angle 2

Step-by-step explanation:

The angles form a linear pair, which means they are supplementary.

surface area.... again

Answers

Answer:

1848 square inches

Step-by-step explanation:

surface area is the combined area of all the outside surfaces.

area of triangle is base x height / 2

There are two, so no need to divide

18 x 12 = 216

Area of rectangle is base x height

15 x 34 + 15 x 34 + 18 x 34 = 1632

Then add

216 + 1632 = 1848

1848 there is no explanation

Find the solutions to the equation below.

Check all that apply.

x^2 - 25 = 0

A. x = 1

B. x = 5

C. x = -1

D. x = -5

E. x = 3

F. x = -3

Answers

Answer:

B and D

Step-by-step explanation:

x² - 25 = 0

Add 25 to both sides:

⇒ x² -25 + 25 = 0 + 25

⇒ x² = 25

Square root both sides:

⇒ √x² = √25

⇒ x = ±5

Therefore:

x = 5,  x = -5

So B and D are the solutions

Find the surface area of the triangular prism.

A triangular prism. The base has sides of 17 meters, 17 meters, and 16 meters. The height of the prism is 10 meters. Apothem goes from the base vertex to the midpoint of the base edge, 16 meters, and measures 15 meters.

The surface area is
square meters.

Answers

980 square meters is the total

sin160°cos110°+sin290°cos340°+tg110°tg160°

Answers

Answer:

-0.0092

Step-by-step explanation:

sin160°cos110° + sin290°cos340° + tan110°tan160°

(0.34)(-0.34) + (-0.94)(0.94) + (-2.75)(-0.36)

- 0.1156 - 0.8836 + 0.99

-0.0092

I hope this helps!

[tex]\sin 160^{\circ} \cos 110^{\circ} + \sin 290^{\circ} \cos 340^{\circ} + \tan 110^{\circ} \tan 160^{\circ}\\\\=\sin\left(2 \times 90^{\circ} - 20^{\circ} \right) \cos \left(90^{\circ} + 20^{\circ} \right) + \sin \left(3 \times 90^{\circ}+20^{\circ}\right) \cos\left(4 \times 90^{\circ}-20^{\circ \right) + 20^{\circ} \right) + \tan \left( 90^{\circ} +20^{\circ}\right) \tan\left( 2 \times 90^{\circ} - 20^{\circ} \right)\\\\[/tex]

[tex]=-\sin 20^{\circ} \sin 20^{\circ} -\cos 20^{\circ} \cos 20^{\circ}+\cot 20^{\circ} \tan 20^{\circ}\\\\=-\left(\sin^2 20^{\circ} + \cos^2 20^{\circ} \right) + \tan 20^{\circ} \cdot \dfrac 1{\tan 20^{\circ}}\\\\=-1 + 1\\\\=0[/tex]

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written??

Answers

Answer:

Period: 6, Frequency: 1/6, Equation: -4cos([tex]\frac{\pi }{3}x[/tex])-2

Step-by-step explanation:

Because the graph starts at x = 0 at a minimum/maximum, it's easiest to use cosine, so we don't have to shift the graph horizontally. cos(x)

If you take the max/min points and average them, you can use the distance between the average value and the max/min to get the total amplitude, A, which is 4.

Because this function starts at a minimum, but cosine starts at a maximum, we will flip it vertically by adding a negative coefficient to whatever the amplitude is.

We see that the same part of the graph recurres every 6 x-units, so the period is 6. The frequency of this is 1/(period), 1/6.

The coefficient of x in a sin/cos function is [tex]2\pi /Period[/tex], = [tex]\pi[/tex]/3.

The vertical shift (how much the average value of the function moved from 0 to its current position) is -2.

Put all that together, you get y = -4cos([tex]\frac{\pi }{3}x[/tex])-2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Period :

Difference between two successive crest or trough is known as period, so here :

period = 9 - 3 = 6

Frequency

Now, we know that frequency = 1/period

So, frequency for given function is 1/6 hertz , or approximately 0.167 hertz

Amplitude (A) = 4 (flipped)

b = 2π ÷ Period = 2π /6 = π/3

k = -2

The required equation is ~

[tex]\qquad \sf  \dashrightarrow \:y = a \cos(bx) + k[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = - 4 \cos( \frac{ \pi}{3} x) - 2[/tex]

The pendulum of a clock swings through an angle of 2.5 radians as its tip
travels through an arc of 50 centimeters. Find the length of the pendulum, in
centimeters.

Answers

r = 50/2.5 = 20 cm

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

Clock pendulums swing 8 degrees or less, which is an included angle of ~0.28 radians

Sycamore Elementary
School has 998 students.
Sycamore Elementary
School has 562 students less
than Cedar Middle. If C is the
number of students at Cedar
Middle School, which equation
could be used to find how
many students are at Cedar
Middle School?
a. 998-C = 562
b. 562-C = 998
C. 998 +562 = C
d. 562 +C = 998

Answers

the answer you’re going to answer is d

PLEASE AWNSER NEEDED NOW Find the volume of the figure. Round your answers to the nearest hundredth, if necessary

Answers

Didn’t you get that correct?

kinda confusing problem given by my teacher:
What is the total discount percent as compared to the original price, if trousers are discounted by 12% and then a further 20% discount is given and new price is $281.6. (answer like this xx.x)

Answers

Answer:

Below

Step-by-step explanation:

281.6x20%= 56.32

281.6+56.31=337.91

337.91x12%=40.55

337.91+40.55=378.46

Calculate the perimeter of the figure below 13 cm 18 cm 19 cm 5 5 cm 25 cm [1] 85 cm [2] 80 cm [3] 86 cm [4] 81 cm​

Answers

13 + 18 + 19 + (5x5) + 25 + 85 + (80x2) + (86x3) + (4x81)

13 + 18 + 19 + 25 + 25 + 85 + 160 + 258 + 324 = 927

perimeter =927cm

You just need to add all the edges together and times by the number of the edge when there is several of the same edge. Hope that makes sense.

Estimate the square root to the nearest (a) integer and (b) tenth.

46−−√

Answers

Using rounding concepts, it is found that the estimates of the square root of 46 are given as follows:

a) Rounded to the nearest integer, the square root of 46 is of 7.

b) Rounded to the nearest tenth, the square root of 46 is of 6.8.

How we round a number?

To round a number to the nearest integer, we have to look at the tenths digit.To round a number to the nearest tenth, we have to look at the hundredths digit.If the digit we look is of 5 or greater, we round one to the rounded digit.

Using a calculator, we have that the square root of 46 is of 6.78.

7 > 5, hence rounded to the nearest integer, the square root of 46 is of 7.8 > 5, hence rounded to the nearest tenth, the square root of 46 is of 6.8.

More can be learned about rounding concepts at https://brainly.com/question/17248958

#SPJ1

How many pounds are in 3 tons?

600 pounds
900 pounds
6,000 pounds
9,000 pounds

Answers

There are 6,000 pounds in 3 tons


Answer:

6,000

Step-by-step explanation:

1 ton is 2,000 pounds, so 3 tons are 6,000 pounds because 2,000 x 3 = 6,000.

Have a great day!

what is derivative of f=x^3 + x^2

Answers

Answer:

3x^2-2x

Step-by-step explanation:

Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4

Answers

Answer:

[tex]\sf y=-\dfrac12x+2[/tex]

Step-by-step explanation:

y-intercept is when x = 0, so (0, 2)

x-intercept is when y = 0, so (4, 0)

[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12[/tex]

Slope-intercept form of linear equation:  [tex]\sf y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

Given:

[tex]\sf m=-\dfrac12[/tex]b = 2

[tex]\sf \implies y=-\dfrac12x+2[/tex]

Find the equation of the line through (-5,9) that is parallel to y=-2x+2

Answers

Answer:

Step-by-step explanation:

y - 9 = -2(x + 5)

y - 9 = -2x - 10

y = -2x - 1

Find the surface area of the composite figure. 3 cm 12 cm 2 cm 6 cm 10 cm 8 cm SA = ​

Answers

Answer:

Pls try to send ur questions the right way and ask again attaching the picture of the figure. Otherwise, there is no way to solve

In ΔGHI, the measure of ∠I=90°, IH = 11, HG = 61, and GI = 60. What is the value of the sine of ∠G to the nearest hundredth?

Answers

Answer: 0.18

Step-by-step explanation:

Using the sin rule:

11/sin(∠G) = 61/90

sin(∠G) = 11/61

sin(∠G) = 0.18°

Therefore, the value of angle G is 0.18 degrees

Geometry is so confusing to me, i don’t get how to figure out angles and measurements. I have read my instructors over and over again and I still don’t understand

Answers

Answer:

reference attached

Step-by-step explanation:

hope it helps you <3

Answer:

It's ok. Math can be really difficult, but don't give up and you'll understand.

To begin, this is a transversal. A transversal is a set of parallel lines that have a third line intersecting them.

In the photo below, you can see the original angle given and it is 35°. On the same line directly across from it is an angle that is also 35°. This follows the rule of vertical angles, which are angles produced by the same two lines. It also states that they are congruent.

You'll also see that the angle next to the original angle is 145°. This follows the rule of supplementary angles, which states that two angles that are on the same straight line will equal 180° when added together.

The angle opposite to that is 145°, which can be proven by vertical angles.

Through a method called corresponding angles, we can see that the original angle is corresponding with the angle below it.

Then you would repeat the process for the top.

Hope this helps!

A website sells custom messenger bags in 4 sizes. For each​ size, there are 52 ​color/fabric combinations. Any of these 52 can be chosen for the​ left, center, and right panel. In​ addition, there are 18 different choices of binding​ color, 27 choices of logo​ color, 11 choices of liner​ color, and 49 choices of strap pad color. There are 4 choices for the interior style. The bag can be​ right- or​ left-handed. It can be ordered with or without a grab​ strap, a chiller​ insert, a camera​ insert, and a water bottle pocket. How many different bags are​ possible?

Answers

The correct answer is : 20,92,27,89,888 bags

giving brainliest to whoever gives me the answers (to a and b) :)

Answers

Answer:

a.) Graph is attached; blue is Petunia's and red is Billy's

b.) Number of Hours: 4 | Cost: 32 Pounds

Which equation has the solution x = 2?

A. 2x - 3 = 19
B. 3 x + 2 = 8
C. 4x - 4 = -4
D. 5x + 1 = 10

Answers

Answer:

=> B. 3 x + 2 = 8

Step-by-step explanation:

=> 3x+2 = 8

=> 3(2) +2 = 8

=> 6+2 = 8

=> 8 = 8

[tex]\sqrt{50} +\sqrt{18}[/tex]

Answers

Answer:

8 × square root of 2

Step-by-step explanation:

50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.

18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.

then we just find the sum

Which statement(s) are true?

No event can be impossible.
No event can be certain.
The more unlikely an event, the closer it is to impossible.
The more likely an event, the closer it is to certain.

Answers

Answer:

no event can be impossible

Answer: no event can be impossible

Step-by-step explanation:

18. Cancellation refers to the procedure for
A. reducing fractions to make multiplying easier.
B. inverting the divisor in a division problem.
C. changing a mixed number to an improper fraction.
D. finding the lowest common denominator for a group of fractions.

Answers

The correct option regarding the operation of cancellation in a fraction is given by:

A. reducing fractions to make multiplying easier.

What is an example of cancellation in a fraction?

It happens when two fractions are multiplying each other, and terms are simplified to make the multiplication easier. For example:

[tex]\frac{2}{3} \times \frac{6}{4} = \frac{6}{3} \times \frac{2}{4} = 2 \times \frac{1}{2} = 1[/tex]

The terms 2 and 4, and 3 and 6, were canceled. Hence option A is correct.

More can be learned about cancellation in a fraction at https://brainly.com/question/571030

13,14, and 15 please help it’s math!

Answers

Answer:

13) 80 in sq

14) You can find the area of the bigger rectangle, then subtract it from the area of the unfilled white rectangle.

15) The smallest possible area is 38 inches by contiguously placing the cards, or placing the on the adjacent side of 4 inches.

Step-by-step explanation:

Answer:

13) easy but long way, count all the blue squares

harder way but fast way, multiply length and width of blue box and subtract length*width of white box inside of blue box the answer would be 80

14) basically the harder way but fast way mentioned above

15) the smallest possible perimeter is achieved when you calculate less of the longer side and more of the short side. therefore, lining the pictures with the 4inch side as the length and 5 inch side as the width in a line, it would give you a perimeter of 5+5+4+4+4+4+4+4=34

Step-by-step explanation:

13: remember, these are coordinates and not the actual number.

these are the measurements of the blue box

length, 16-2 = 14

width, 14-4=10

these are the measurements of the white box inside the blue box

length, 14-4 =10

width, 12-6=6

find area of both which comes to 140 and 60. subtract 60 from 140 to get 80

What are the prime factors of 700?
O A.2 x 2 x 25 x 7
OB. 350 x 2
OC. 2 x 2 x 2 x 5x5x7
OD 2 x 2 x 5x5x7

Answers

Answer:

b. 350x2

Step-by-step explanation:

the answer is 350x2 because if you do 350x2 you will get 700

Drawing 2 cards that are all 2from a deck of cards

Answers

Answer:

the likely hood of that happening is the amount of that deck of cards by 2 so 52/2 could be your answer so yeah

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