A golden rectangle has a length of 5 cm. Find the area of the rectangle to the nearest square centimeter.
A. 9 square centimeters
B. 25 square centimeters
C. 17 square centimeters
D. 13 square centimeters
E. 15 square centimeters

Answers

Answer 1

Answer:

Option B is correct one

B. 25 square centimeters

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THANK you...

Answer 2

The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

A golden rectangle has a length of 5 cm. Then the width of the rectangle is given as,

W = 5 - 2

W = 3 cm

Then the area of the rectangle will be given as,

A = 5 x 3

A = 15 square centimeters

The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.

More about the area of the rectangle link is given below.

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Related Questions

which number line shows the solution to the inequality below

-4g<4

(look at picture)

Answers

Answer:

b

Step-by-step explanation:

make g by itself -> inequality becomes g>-1. Answer choice b fits the criteria

I need this answer today pls it is important pls help me out i will give you a crown and good ratings if you get it write

Answers

the medium is the number between 70 and 77
median: 68
mean: 69
mode: 64
range: 13

Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to mark two out of the five times. What is the probability that each of them can be interviewed at one of the two times they have marked

Answers

Answer:

0.01024

Step-by-step explanation:

Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;

Number of time slots, n = 5

Required to mark, number of preferred timeslot x = 2

P(x) = 2 /5 = 0.4

Probability of 0.4 that an interviewee gets one of his preferred timeslot.

Probability that each of the 5 interviewees gets one of their preferred time slots :

Using the multiplication rule of independence :

0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024

0.01024 * 100% = 1.024%

Find the value of the following by suitable rearrangement. Mention the
property used.
a. 25 x 679 x 4
b. 2917 x 102 - 2917 x 2

Answers

Answer:

(a) 67900

(b) 291700

Step-by-step explanation:

(a) 25 x 679 x 4

Rearrange the terms starting with the smallest

4 x 25 x 679

The property used here is the commutative property of multiplication which states that the order in which these numbers are multiplied does not matter.

Now solve

4 x 25 x 679 = 67900

(b) 2917 x 102 - 2917 x 2

Factor out the common terms

2917(102 - 2)

Using the distributive property which states that when a number is multiplied by the sum or difference of two numbers, the result is the same as multiplying each of the two numbers by the number and then adding or subtracting the products.

Now solve

2917(102 - 2) = 2917(100)

= 291700

An accessories store sells $8 custom socks and $11 custom hats. If 11 items were sold on Monday, and the
total sales were $100, how many socks were sold?

Answers

Answer:

7 socks were sold

Step-by-step explanation:

7*8=56

11-7=4

4×11=44

56+44=100

This proves the answer of 7 to be correct

Two angles are complementary. mZT is (3x + 17)° and mZW is 19°
Solve for x and for mZT.

Answers

Answer:

x = 18

mZT = 71º

Step-by-step explanation:

Complementary angles total 90º

(3x + 17) + 19 = 90

Subtract 19 from both sides

3x + 17 = 71

mZT = 71º

Subtract 17 from both sides

3x = 54

Divide both sides by 3

x = 18

x>-2

Wyatt wants to spend no more than $25 at the grocery store. He bought a

pizza for $7.55 and a cake for $11.02 (including tax). Choose the inequality

that he can use to find how much money he can still spend.

Answers

Answer:

he spent $18.57 and he can spend $7.43 more

The solution is, he can still spend no more than $6.43.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Wyatt wants to spend no more than $25 at the grocery store.

He bought a pizza for $7.55 and a cake for $11.02 (including tax).

now, we have to find the inequality that he can use to find how much money he can still spend.

let, we would spend = x

now, we have,

He bought a pizza for $7.55 and a cake for $11.02

so, he had = $ x - ( 7.55 + 11.02)

we have,

x ≥ 25

so, he can still spend ≥ 25 -  ( 7.55 + 11.02)

or, he can still spend ≥ 6.43

i.e.  he can still spend no more than $6.43

Hence, The solution is, he can still spend no more than $6.43.

To learn more on inequality click:

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Which expression is NOT equal to 28?
A (9 + 25 = 5) x 2
B. [(13 – 4x2) – 1] x 7
C. 42 = 6 + 28 = 4
D. 7 [8 - (12 - 4x 2)]

Answers

Answer:

aaaaa

Step-by-step explanation:

Answer:

I think it’s A

Step-by-step explanation:

Directions: Encircle the letter of the correct answer.
1. What do you call the distance around a cirde?
A. area
B. perimeter
C. circumference
volume
2. Jenny made a circular veil has a radius of 4 decimeters. How many decimeters of lace
trimmings were needed to put around the veil?
A. 8 decimeters
B. 16 decimeters
C. 12 decimeters
D. 25.12 decimeters
3. The circular based statue in the middle of a fountain City Hall Park has a diameter of 9
meters. If the City Mayor would like to put decorative ribbon around it, how much ribbon is
needed?
A. 18 meters
B. 28.26 meters
C. 27 meters
D. 81 meters
4. Mr. Cruz planted santan in his circular garden with a diameter of 8 meter. What is the
circumference of his garden?
A. 16 meters
B. 25.12 meters
C. 24 meters
D. 64 meters
5. Robert's mother is making a pot holder with a diameter of 7 meters. How many meters of
lace she needs to decorate around the pot holder?
A. 14 meters
B. 21.98 meters
C. 21 meters
D. 49 meters​

Answers

Answer:

Step-by-step explanation:

1.C. circumference

2.D. 25.12 decimeters

Solution

C=2πr=2·π·4≈25.13274

3.B. 28.26 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9≈28.27433m

4.B. 25.12 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274m

5.B. 21.98 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·7≈21.99115m

What is the area of the polygon?

Answers

Answer:

[tex]154m^{2}[/tex]

Step-by-step explanation:

8 · 7 = 56m (horizontal rectangle shape) the width was given by subtracting the total of the width (23m) minus (16m).

5 · 8 = 40m (square shape) Subtract 8m - 3m = 5m.

6 · 8 = 48m (square shape to the left of the polygon)

2 · 5 = 10m  (small rectangle shape bottom left) 8 - 6 = 2 for the length and 5 for the width by 8 - 3 = 5

56m + 40m + 48m + 10m = 154 [tex]m^{2}[/tex]

Jaclyn bought a PS4 game that was on sale for 20% less than the original price. The original price was $10 more than the sale price.
What was the ORIGINAL price?
Explain your answer.

Answers

Answer:

$50

Step-by-step explanation:

If the original price was $10 more than the sale price, so we know that in this case, 20% = $10. Because 20% is equivlalent to [tex]\frac{1}{5}[/tex], multiply $10 by 5 to get the answer of $50.

Which inequality is represented by the graph below? Check all that apply. Ox>9 Ox​

Answers

Answer:

The correct answers are [tex]x < 9[/tex] and any rational number less than 9.

Step-by-step explanation:

Since the inequality represented in the number line has the arrow going towards the left, and has a open/not highlighted circle on 9, that means the inequality represented by the number line is [tex]x < 9[/tex], which means the exact same as any rational number less than 9, so those two choices are the correct answer.

X < 9 and any rational number less than 9

Which is a true statement?
O A. 48 is 25% of 160.
O B. 32 is 40% of 88.
O C. 40 is 60% of 100.
O D. 72 is 80% of 90.

Answers

Answer:

D is the answer

Step-by-step explanation:

90 × 80/100 = 72

Answer:

B. 32 is 40% of 88

Step-by-step explanation:

At first i thought it was D, but 72 is really close to 90.. thats like 90% I'm pretty sure its B. 32 is 40%

-61=-3(1-5p)+4(-8-7p)

Answers

Answer: hello! have a good day! :)))

P = 2

Ica ingin membuat sebuah lampion
berbentuk kubus, panjang rusuknya 15
dm, maka volume lampion Ica adalah
... m?
a. 45
b. 3,375
c. 33,75
d. 3,375

Answers

Well the answer is 3,375

Estimate the line of best fit using two points on the line. (8, 80) 100 90 80 70 60 50 40 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x + 10 O c. y= 10x+ 2 OD. y= 10x​

Answers

Answer:

[tex]y = 10x[/tex]

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]

We have:

[tex](x_1,y_1) = (8,80)[/tex]

[tex](x_2,y_2) = (2,20)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{20 - 80}{2- 8}[/tex]

[tex]m = \frac{-60}{-6}[/tex]

[tex]m = 10[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 10(x - 8) + 80[/tex]

Expand

[tex]y = 10x - 80 + 80[/tex]

[tex]y = 10x[/tex]

suzanne babysits to earn extra money. she charges $15 for each hour that she babysits. What represents the independent variable in this situation?

A. The total amount charged for babysitting
B. The rate she us paid per hour
C. The number of hours she babysits
D. The number of children she babysits

Answers

Answer:

C. The number of hours she babysits

Step-by-step explanation:

In this situation, the number of hours she babysits is the independent variable.

This is because it will directly influence the amount of money that she earns, which is the dependent variable.

For example, working for 1 hour will earn her $15.

So, the correct answer is C. The number of hours she babysits

what is going on
I am confused ​

Answers

?????? what do you mean

Answer:

What do you mean?

Step-by-step explanation:

I would suggest adding more info

Plz help me well mark brainliest if you are correct!..

Answers

Answer:

8

Step-by-step explanation:

all numbers must be positive when you have the lines on the side

Answer:

8

Step-by-step explanation:

How many gallons of a plant food that is 6% nitrogen must be combined with another plant food that is 30% nitrogen to make 10 gal of a plant food that is 15% nitrogen?

Answers

Answer:

x = 6 1/4

y = 3 3/4

Step-by-step explanation:

let 'x' = gallons of 6% nitrogen

let 'y' = gallons of 30% nitrogen

system of equations:

x + y = 10;  let y = 10-x

6x + 30y = 10(15)

substitute '10-x':

6x + 30(10-x) = 150

6x + 300 - 30x = 150

-24x = -150

x = 6 1/4

y = 3 3/4

SOMEONE HELP ME WITH THIS PLEASE IM STRUGGLING

Answers

Answer:

Final point (-4, 4) Original point (3, -4)

Answer:

Again, I can't move it for you but I can give you the points!

original: (3, -4)

final: (-4, 4)

Use the linear regression feature on a graphing calculator to find the correlation coefficient for the data. Round your answer to three decimal places.

Answers

Answer:

0.9769

Step-by-step explanation:

Given the data :

X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1

Y : 35, 6, 45, 18, 20, 89, 84

The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.

using power to a power, what is (3^3)^3*

Answers

19,683

Hope this Helped!

Give the trigonometric form of each vector (leave the magnitude as a square root) p=
(<2V6, -2V2)

Answers

Answer:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or [tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

Step-by-step explanation:

Find the magnitude of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]||v||=\sqrt{(2\sqrt{6})^2+(-2\sqrt{2})^2}[/tex]

[tex]||v||=\sqrt{24+8}[/tex]

[tex]||v||=\sqrt{32}[/tex]

Find the direction angle of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]\alpha=tan^{-1}|\frac{-2\sqrt{2}}{2\sqrt{6}}|[/tex]

[tex]\alpha=tan^{-1}|-\frac{\sqrt{3}}{2}|[/tex]

[tex]\alpha=tan^{-1}(\frac{\sqrt{3}}{2})[/tex]

[tex]\alpha=40.89^{\circ}[/tex]

Since [tex]\alpha=40.89^{\circ}[/tex] is our reference angle, we determine our direction angle [tex]\theta[/tex] by verifying our angle is in Quadrant IV, which is where the vector is located. Therefore, [tex]\theta=360^{\circ}-\alpha=360^{\circ}-40.89^{\circ}=319.11^{\circ}[/tex]

To represent a vector's magnitude and direction in trigonometric form, we use the form [tex]v=<||v||cos\theta,||v||sin\theta>[/tex] or [tex]v=||v||cos\theta i+||v||sin\theta j[/tex].

In conclusion, the trigonometric form of the vector is:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or

[tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

What’s the answer no links or I will report

Answers

m /_ 1 = 75°

37+68= 105
180-105=75

If you place a 35-foot ladder against the top of a 31-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.​

Answers

Answer:

4ft

Step-by-step explanation:

The bottom of the ladder will be 16.25 feet from the bottom of the building.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

As per the situation, we create a right triangle as shown.

Let x be the distance from the bottom of the building to the bottom of the ladder.

Using Pythagoras's theorem, then, we have:

x² + 31² = 35²

Simplifying this equation, we get:

x² = 35² - 31²

x² = 264

x = 16.25 (rounded to the nearest tenth of a foot).

Therefore, the bottom of the ladder will be 16.25 feet from the bottom of the building.

Learn more about Pythagoras's theorem here:

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Q 16 Two numbers are in the ratio 3 : 17. If the first is 6, what is the other?
Ops: A.
w
O 51
B.
O 68
C.
0 42
5723
D.
O 34​

Answers

Answer:

D 34

Step-by-step explanation:

i hope you understand

which of the following represents the equality for the sum of 11 and Y is greater than -33​

Answers

Answer:

11+y > -33

Step-by-step explanation:

Answer:

You wrote

"Which of the following" Meaning there's should be options present.

But Going with the statement...

The sum of 11 and y is greater than -33

I'd say

11 + y > -33.

PLEASE HELP ME IT'S MY LAST GRADE​

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Simplify this expression by distributing: (p - 3)6.

Answers

Answer:

6p-18

Step-by-step explanation:

Answer:

6p -18

Step-by-step explanation:

(p - 3)6

Distribute

6*p - 6*3

6p -18

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