Which is a way to find the area of this rectangle?
4+3
6

The room is a square, meaning all four sides are 20ft long.

Because we know all the side lengths, we can find the perimeter of the square by adding the side lengths together.

(20 + 20 + 20 + 20)  = 80

Now that we know the perimeter, we have to match this number to the feet of crepe paper.

We can find this by dividing the total length needed by the length a single roll provides.

80 / 8 = 10

Therefore, we know that Katie will have to buy a minimum of 10 rolls if she wants to cover the entire perimeter of the room.

Hope this helps! :)

Katie will need to buy 18 rolls of crepe paper to cover the perimeter and diagonal of her living room ceiling. She calculates the perimeter as 80 ft and the total diagonal length as 56.6 ft, summing up to 136.6 ft which is then divided by 8 ft per roll.

Katie needs to calculate the amount of crepe paper to cover both the perimeter and the diagonal of her living room's square ceiling. The perimeter of a square is calculated by multiplying the length of one side by four. Since each side is 20 ft, the perimeter is 80 ft (20 ft x 4).

Next, we'll find the length of the diagonal using the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

For a square, the diagonal forms a right-angled triangle with two sides of the square, so the diagonal {d} can be calculated as {d} = {a}² + {a}²)^{0.5}, where extit{a} is the length of one side.

Thus, the diagonal is (20² + 20²)^{0.5} ft = (400 + 400)^{0.5} ft = \\(800)^{0.5} ft = 28.28 ft, which we approximate to 28.3 ft for ease of calculation.

Since Katie needs to hang crepe paper from each corner to the opposite corner, she will need twice the length of one diagonal, which is 2 x 28.3 ft = 56.6 ft. Adding this to the perimeter, we get 80 ft + 56.6 ft = 136.6 ft of crepe paper in total.

Dividing the total length by the length of one roll (136.6 ft / 8 ft per roll), Katie finds that she needs 17.075 rolls. Since she can't buy a fraction of a roll, Katie will round up to the nearest whole number, requiring her to buy 18 rolls of crepe paper.

Answer:

x=−6 and y=1

(a)

Final answer:

The population of a city with an initial population of 300,000 and an 11% annual growth rate can be modeled by the exponential growth equation [tex]y = 300,000(1 + 0.11)^x,[/tex] where x represents the number of years.

Explanation:

To model the population growth of the city with an initial population of 300,000 and an annual growth rate of 11%, we use an exponential growth equation. This type of growth can be represented by the equation y = P(1 + r)^x, where P is the initial population, r is the growth rate in decimal form, and x is the number of years.

For this scenario, P = 300,000 and r = 0.11 (since 11% as a decimal is 0.11). Therefore, the equation to model the population, y, after x years is:[tex]y = 300,000(1 + 0.11)^x,[/tex]

This equation assumes that the growth rate remains constant over the years and that there are no other factors affecting the population size.

Answer:

49

Step-by-step explanation:

140*0.07*5= 49

Answer:

9 and 15

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

x +y= 24 -----(1)

x -y= 6

x= y +6 -----(2)

Substitute (2) into (1):

y +6 +y= 24

2y +6= 24 (simplify)

2y= 24 -6 (-6 on both sides)

2y= 18

y= 18 ÷2

y=9

Substitute y= 9 into (2):

x= 9 +6

x= 15

Thus the numbers are 9 and 15.

Answer:1d

Step-by-step explanation:

Step-by-step explanation:

Bringing like terms on one side

8d - 7d = 6

d = 6

Answer:

1.2

Step-by-step explanation:

9/5*2/3=1.2

Answer:

1 1/5

Step-by-step explanation:

9/5 • 2/3 = 1.2 = 1 2/10 = 1 1/5

Answer:

1 x 106 = 106

2 x 53 = 106

53 x 2 = 106

106 x 1 = 106

Step-by-step explanation:

(happy to help)

Answer:

1 x 106 = 106

2 x 53 = 106

53 x 2 = 106

106 x 1 = 106

 Give me Brainliest Plz

Answer:

M(x,y)= (3,-1)

Step-by-step explanation:

In the attached file

Answer:

12.56

Step-by-step explanation:

Answer:

right triangle or scalene

Answer:

[tex] x = \sqrt{30} [/tex]

Step-by-step explanation:

By Geometric mean property:

[tex]BD = \sqrt{3 \times 7} \\ BD = \sqrt{21} \\ by \: pythagoras \: theorem \\ {x}^{2} = { (\sqrt{21}) }^{2} + {(3)}^{2} \\ {x}^{2} = 21 + 9 \\ {x}^{2} = 30 \\ x = \sqrt{30} [/tex]

Answer:

21

Step-by-step explanation:

Answer:

Is it 549km^2

Step-by-step explanation:

Let me know if im wrong

Answer: 1. 4, 2. 2,

Step-by-step explanation: The small tire would make about 4 rotation, the big tire wold make about 2 rotations

Hope this helps :)

Answer:

correct option is 2187

Total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by [tex]2\pi rl[/tex]

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

[tex]2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12[/tex]

Thus,  lateral surface area for given cylinder is  1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle [tex]\pi r^2[/tex]

[tex]area \ of \base = \pi r^2 = 3.14*12^2\\=>area \ of \base = 3.14*144 = 452.16[/tex]

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

                                      = 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

                  = 2,185.44  square inches.

Thus, total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

but option which is closest to calculated value is  2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = [tex]2\pi r^2 + 2\pi rl[/tex]

Answer:

2187

Step-by-step explanation:

Answer:

5,4

Step-by-step explanation:

We normally plot the coordinates by (x,y)

Given,x=-5 units away=5(since there is no -ve direction)

y=4 units away=4(since there is no-ve direction)

We have,(x,y)=(5,4)

Now,move 5 units right from 0 in axis which lands to the written bottom 5 in x axis,then move 4 units up which will lead to 1 units less from 5 in y axis. (5,4)

Answer:

5,4

Step-by-step explanation:

We normally plot the coordinates by (x,y)

Given,x=-5 units away=5(since there is no -ve direction)

y=4 units away=4(since there is no-ve direction)

We have,(x,y)=(5,4)

Now,move 5 units right from 0 in axis which lands to the written bottom 5 in x axis,then move 4 units up which will lead to 1 units less from 5 in y axis. (5,4)

Hope this helps!!❤️❤️❤️

Answer:

Trapezoid

Step-by-step explanation:

Answer:

Trapezoid I've had this and that's what i answered

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=0     y=6-2*0=6

x=1      y=6-2*1=4

x=2      y=6-2*2=2

x=3      y=6-2*3=0

6-2x=3

-6       -6

-2x=-3

2x=3

:2    :2

x=3/2

x=1.5

Answer: The best player is expected to make  

21 more free​ throw(s).

Step-by-step explanation:

1) Make a proportion

2) Find the unknowns

3) subtract the grater number from the smaller one

4) That's it.

Answer:

Type the answer that the other person gave and boom. a.k.a 21

Step-by-step explanation:

Based on statistics for the past several​ seasons, the probability that the best player on a basketball team makes a free throw is 8/10

. The probability that the​ second-best player makes a free throw is 13/20

. If both players attempt 140 free throws over a​ season, how many more free throws is the best player expected to​ make?

Answer: 1 ft3

Step-by-step explanation:

Hi, to answer this question, first we have to calculate the volume of the rectangular plate:

Volume of a rectangular prism: width x length x height (thickness)

Replacing with the values given:

V = 1 x 1.5 x 3/4= 1.125 ft3

Now, we have to calculate the volume of the hole:

Volume of a cylinder = π (diameter/2)^2 x height( thickness of the plate)

V = π (1/2)^2 (3/4) = 0.59 ft3

Finally, we have to subtract the volume of the hole to the volume of the plate:

1.125-0.1875 =0.53 ft3 = 1 ft3 (rounded)

Answer:

No

4 times

Step-by-step explanation:

When the sides are in the same ratio, the objects are said to be similar

Ratio of areas = (Ratio of sides)²

Ratio of areas = 2²

Ratio of areas = 4

Answer:

yes

Step-by-step explanation:

It is a parabola, Every y has a unique x value

Answer:

6

Step-by-step explanation:

The slope (m) can be found using the formula ...

 m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

 m = (2 -(-10))/(17 -15) = 12/2

 m = 6

Answer:

b = 33 miles

Step-by-step explanation:

The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.

5280 ft = 1 mile

735 ft = ? miles

cross multiply

735/5280

miles = 0.13920454545  miles

The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14  miles

using Pythagoras theorem

c² = a² + b²

c = 4000.14

a = 4000

4000.14² = 4000² + b²

b² = 4000.14² - 4000²

b² = 16001120.0196  - 16000000

b² = 1120.0196

b = √1120.0196

b = 33.4666938911

b = 33 miles

Answer:

Final result :  

(sorry if this is long)

 a3 - 5a2 + 4a + 5

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((4a-(a3))-3)+(((2•(a3))-5a2)+8)

Step  2  :

Equation at the end of step  2  :

 ((4a-(a3))-3)+((2a3-5a2)+8)

Step  3  :

Checking for a perfect cube :

3.1    a3-5a2+4a+5  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  a3-5a2+4a+5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  4a+5  

Group 2:  a3-5a2  

Pull out from each group separately :

Group 1:   (4a+5) • (1)

Group 2:   (a-5) • (a2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(a) = a3-5a2+4a+5

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  5.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5

Hope it helps!!

Answer:

0.11=1/10

Step-by-step explanation:

11 tenths because in 10ths form and you put 1 and divide by 1 tenth

Answer:

1

Step-by-step explanation:

11/10=1.1

1.1-1=0.1=1/10

Answer:

A :572.3

Step-by-step explanation:

i used a circle calculator

Answer:

S = {-1, 0, 1}

Step-by-step explanation:

First we need to solve the inequation x^2<=3

Using square root in both sides, we have:

|x| <= 1.73

Separating the module in two, we have:

x <= 1.73

x >= 1.73

So we have that -1.73 <= x <= 1.73

Solving this inequation only with integer values, we have:

x = -1, x = 0 or x = 1

So the set of integer solutions is S = {-1, 0, 1}