3. Liam has a rectangular back
yard. He measured one side of the
yard and found it to be 85 feet and its
diagonal to be 117 feet. Determine, to
the nearest tenth of a foot, the length
of the other side of his back yard

Answer:

The population around the tower is 111,862 people.

Step-by-step explanation:

In order to solve this problem we first need to calculate the area surrounded by the tower, since it's a circle we can apply the following formula:

tower area = pi*r²

tower area = pi*(4.9)² = 75.4296 miles²

For every mile² there are 1483 people, therefore:

population = area*density

population = 75.4296*1483 = 111,862

The population around the tower is 111,862 people.

Answer:

Answer choice C

Step-by-step explanation:

Since a rectangle has two dimensions and both side lengths of rectangle B are 4 times smaller, the area is 4*4=16 times smaller. 2592/16=162 square units, or answer choice C. Hope this helps!

Answer:

7.5

Step-by-step explanation:

You have to divide the miles by the hours drived and then divide 60 per the miles per hour

Answer:

5.2 hours, or 5 hours 12 minutes

Step-by-step explanation:

The distance is the same in both cases.  Since distance = rate (time),

time = distance / (rate).

Here, (6 hr)(52 mph) = (time)(60 mph, or

               312 mi         = (60 mph)(time), which gives us

(time) = (312 mi) / (60 mph) = 5.2 hours, or 5 hours 12 minutes

To solve the inequality -0.2x+1.2<1.1, we subtract 1.2 from both sides and then divide by -0.2, which flips the inequality, resulting in x > 0.5.

To solve the inequality [tex]\frac{1.2}{-0.2x+1.2} < 1.1[/tex], we can follow a step-by-step process. First, we isolate the variable on one side. We'll subtract 1.2 from both sides of the inequality:

-0.2x+1.2-1.2 < 1.1-1.2

-0.2x < -0.1

Then we divide both sides by -0.2, remembering that dividing by a negative number will flip the inequality sign:

[tex]x > \frac{0.1}{0.2}[/tex]

x > 0.5

This means that for the inequality to hold true, x must be greater than 0.5. It's also important to note that by understanding the properties of inequalities and the operations performed on them, we can easily solve these mathematical statements.

Answer:

29

Step-by-step explanation:

i know my math

Answer:

£310500

Step-by-step explanation:

3% of 270000=8100

difference between 2020 and 2015=5 years

8100×5=40500

40500+270000=310500

pls give me brainliest

Answer:

-3x^2+13x-5

Step-by-step explanation:

you're basically just combining the like terms

3x^2+7x-4-6x^2+6x-1

-3x^2=13x-4-1

-3x^2+13x-5

Answer: -3^2+13x-5

Step-by-step explanation:

Remove parentheses.

3x^2+7x -4 - 6x^2 +6x -1

Collect like terms.

(3x^2-6x^2) + ( 7x + 6x) + ( -4 -1)

Simplify

-3^2+13x-5

Answer:you cant find the area with the numbers the problem wouldn't do that but the perimater is (34)

Step-by-step explanation:

Answer:

240 units2

Step-by-step explanation:

10*20=200 + 10*4= 40

 =240

Answer:

F(n) = 2n – 2

Step-by-step explanation:

The sequence 0, 2, 4, 6

First, let us determine if the sequence is arithmetic progression (A.P) or geometric progression (G.P)

This is illustrated:

Let us calculate the common difference (d)

Common difference (d) = 2nd term – first term

Common difference (d) = 3rd term – 2nd term

=> 2 – 0 = 2

=> 4 – 2 = 2

The common difference (d) = 2.

Common ratio (r) = 2nd term /1st term

Common ratio (r) = 3rd term /2nd term

=> 2/0 = undefined

=> 4/2 = 2

There is no common ratio.

Since we have a common difference, therefore the sequence is arithmetic progression.

Now, let us obtain an expression for the sequence.

This can be obtained by using the arithmetic progression formula as shown below:

F(n) = a + (n – 1)d

a is the first term

n is the number of term

d is the common difference.

The sequence 0, 2, 4, 6

The first term (a) = 0

Common difference (d) = 2

F(n) = a + (n – 1)d

F(n) = 0 + (n – 1)2

F(n) = 2n – 2

g=0.04 times d

Step-by-step explanation:

if you multiply 0.04 with every number under the d column then you’ll get the outcome of each number under g

The relationship between the number of gallons of gas that the car uses g, and the number of miles the car has driven d, is given by the equation g=0.04d. Since the values of g and d are linearly connected.

It is given that,

A table of content about the distance traveled by Rachel and the gas used for that distance.

The distance is given in miles as d and the gas is given in gallons as g

The values of d given in the table are 14, 70, 109, and 140. Here the order is increasing.

The values of g given in the table are 0.56, 2.8, 4.36, and 17.6. Here also the order is increasing.

Since the values of g and d are increasing linearly and g is depending on d, consider a linear equation as follows:

[tex]g=ad+c[/tex]

Finding a and c from the obtained equation:

From the table, when d=14, g=0.56 and d=70, g=2.8

On substituting these values in the equation we get

0.56=14a+c

2.8=70a+c

Subtracting 1st equation from the 2nd equation,

2.8-0.56=(70a+c)-(14a+c)

⇒ 2.24=56a

⇒ a=0.04

On substituting a value in any of the equations we get

0.56=(0.04)(14)+c

⇒ c=0

Thus, the required equation becomes g=0.04d. This says that the g and d values are linearly related to each other.

Learn more about linear equations here:

https://brainly.com/question/2030026

#SPJ2

Answer:

24 miles

Step-by-step explanation:

2 miles:10 seconds

? miles: 120 seconds

120 divided by 10 =12

12 x 2 =24

Final answer:

Sound travels 2 miles in 10 seconds, giving it a speed of 0.2 miles per second. In 2 minutes, which equals 120 seconds, sound will travel 24 miles.

Explanation:

If sound travels 2 miles in 10 seconds, we can calculate the speed of sound by dividing the distance traveled by the time it took. To find out how far sound would travel in 2 minutes, we must first calculate its speed:

Speed = Distance / Time

Speed = 2 miles / 10 seconds

Speed = 0.2 miles/second

Now, let's convert 2 minutes to seconds since the speed is in miles per second:

2 minutes = 2 x 60 seconds = 120 seconds

Finally, we calculate how far sound travels in 2 minutes:

Distance in 2 minutes = Speed x Time

Distance in 2 minutes = 0.2 miles/second x 120 seconds

Distance in 2 minutes = 24 miles

Therefore, sound travels 24 miles in 2 minutes.

Answer:

A Dilation

Step-by-step explanation:

your dilating the original shape to a new size

Answer:

A) Dilation

Step-by-step explanation:

I did this last year and when the original shape stays the same and another shape either grows or shrinks it's dilation.

Answer:

vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down

Step-by-step explanation:

If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2, and after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3

Answer:

vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

The question is asking what the ratio of jump ropes to students is.

The order of the question matters.

Since they ask for the jump ropes first and then the students, we

get a ratio of 18:54.

Find the GCF (Greatest Common Factor)

The GCF is 18.

Divide 18:54 by 18.

18/18=1

54/18=3

The answer is 1:3.

The average rate of change will be given by 16a + b

Average Rate: A single rate that applies to real estate at many locations and is calculated as the weighted average of the various rates that are appropriate at each site.

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

Given:

A general quadratic function of x is given by f(x) = ax² +bx +c

Now, the rate of change of the function f(x) is given by df(x)/ dx.

Therefore, df(x)/ dx = 2ax+ b

Now, the value of x ranges between 4 ≤ x ≤ 12.

So, at x= 4

df(x)/ dx = 2a(4) + b= 8a+ b

and, x= 12

df(x)/ dx = 2a(12) + b= 24a+ b

Thus, the average rate of change will be given by

(8a+ b) + (24a+ b) / 2

= 32a+ 2b/ 2

= 16a + b

Learn more about Average rate here:

https://brainly.com/question/13596336

#SPJ6

Let C represent number of CDs and D represent number of DVDs.

We have been that The Blast Off Music Company can make a total of 500 CDs and DVDs each day. We can represent this information in an equation as:

[tex]C+D=500...(1)[/tex]

[tex]C=500-D...(1)[/tex]

We are also told that it costs $8 to make each CD, so cost of C, CDs would be [tex]8C[/tex].

It costs $10 to make each DVD, so cost of D, DVDs would be [tex]10D[/tex].

We have been given that the company can spend $4800 for  production costs each day. This means that cost of C CDs and D DVDs will be equal to 4800. We can represent this information in an equation as:

[tex]8C+10D=4800...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]8(500-D)+10D=4800[/tex]

[tex]4000-8D+10D=4800[/tex]

[tex]4000+2D=4800[/tex]

[tex]4000-4000+2D=4800-4000[/tex]

[tex]2D=800[/tex]

[tex]\frac{2D}{2}=\frac{800}{2}[/tex]

[tex]D=400[/tex]

Therefore, the company can make 400 DVDs in one day.

Upon substituting [tex]D=400[/tex] in equation (1), we will get:

[tex]C=500-D \Rightarrow 500-400=100[/tex]

Therefore, the company can make 100 CDs in one day.

Answer:B

Step-by-step explanation:

Given

[tex]r=-3\theta [/tex]

so [tex]x=-3\theta \cos \theta \quad \ldots(i)[/tex]

and

[tex]y=-3\theta \sin \theta \quad \ldots(ii)[/tex]

squaring and adding [tex](i)[/tex] and [tex](ii)[/tex] we get

[tex]x^2+y^2=(-3\theta \cos \theta)^2+(-3\theta \sin \theta)^2[/tex]

[tex]x^2+y^2=r^2=9\theta ^2\cos ^2 \theta +9\theta ^2\sin ^2 \theta [/tex]

[tex]r^2=9\theta ^2[/tex]

[tex]r=-3\theta [/tex]

for [tex]r[/tex] to be negative both [tex]x[/tex] and [tex]y[/tex] must be negative

Answer:

50

Step-by-step explanation:

the angles in a triangle will add up to 180 degrees

Answer:

0x+2y=22

Step-by-step explanation:

Set them equal to each other, (5x+4y=25)-(5x+2y=3). Distribute the negative into the right equation, (5x+4y=25)(-5x-2y=-3). Then combine like terms to get your answer.

Answer:

15/-7

Step-by-step explanation:

slope is y(2) - y(1) / x(2) - x(1)

120-0/0-56

120/-56

simplified

The slope from point A to point B is found by dividing the rise by the run. With a rise of -120 and a run of 56, the slope is approximately -2.14, indicating a downward slope from A to B.

To find the slope from point A to point B, we can use the formula slope = rise/run. In this scenario, point A is at (0, 120) and point B is at (56, 0).

First, determine the rise, which is the change in the y-coordinates (vertical change). The rise is 0 - 120 = -120.

Next, determine the run, which is the change in the x-coordinates (horizontal change). The run is 56 - 0 = 56.

Now, we can calculate the slope: slope = rise/run = -120/56 = -2.14

It may be wrong :(

but i hope it helps

2 times 5 times 4 is your answer

Answer:

Step-by-step explanation:

7/14

Step-by-step explanation:

Answer: 12

Step-by-step explanation: 12+23 = 35

59-23 is 24

24 is the number of white cars so if 12 of the cars are blue, you just subtract 12 from 24 giving you 12 as the difference between white and blue cars

Final answer:

Sanjay has 12 more white toy cars than blue. There are 24 white cars in total after subtracting the number of blue and red cars from the total.

Explanation:

Sanjay has a total of 59 toy cars, of which 12 are blue and 23 are red. To find out how many toy cars are white, we need to subtract the number of blue and red cars from the total number of cars.

Total number of cars = 59

Number of blue cars = 12

Number of red cars = 23

Subtract the number of blue and red cars from the total:
59 - 12 - 23 = 59 - 35 = 24

So, there are 24 white cars.

To find out how many more white cars there are than blue cars, subtract the number of blue cars from the number of white cars:

24 (white cars) - 12 (blue cars) = 12

Therefore, there are 12 more white toy cars than blue toy cars.

Answer:

25+4x=53 is the equation you would need to determine how many times she went after hours.

Step-by-step explanation:

if you also need to know how many times she went after hours. she went 7 times so x=7

please give brainliest if this helps

Answer:

suppose the number of 2 hours lessons are x and 1 hour lessons are y; thus,

2x+y=25

50x+30y=690

to get the values of x and y we solve the quadratic equation given;

from the top equation:

y=25-2x.......i

substituting i in our second equation we get:

50x+30(25-2x)=690

50x+750-60x=690

-10x=-60

thus;

x=6

hence we conclude that the number of 2 hours classes are 6 hours

Step-by-step explanation:

The expression representing the total charge for x hours of piano lessons is $20.25 + $5.25x, and for 15 hours, the total charge would be $99.

The correct expression to represent the total charge for a student who takes x hours of piano lessons in a month at $20.25 per month and $5.25 per hour is $20.25 + $5.25x. To calculate the amount the instructor would charge for 15 hours of lessons, we substitute x with 15:

Total charge for 15 hours = $20.25 + $5.25(15) = $20.25 + $78.75 = $99.

https://brainly.com/question/8482728

#SPJ2

Answer: To factorize the quadratic expression

x2−9x+20, one must find the two numbers that add together to give 9, and multiply together to give 20. Those two numbers are 4 and 5, which factor into the expression

(x−4)(x−5). The signs are due to the fact that the first sign in the expression is a positive, which tells us that both signs must be the same, and the first sign is a negative, which means that, due to the positive sign in the expression, both signs are negative. To do the opposite, expanding, one must multiply

x by x, to get x2, add together 4 and 5 to get 9, and multiply them to get 20.

Answer:

Answer: To factorize the quadratic expression

x2−9x+20, one must find the two numbers that add together to give 9, and multiply together to give 20. Those two numbers are 4 and 5, which factor into the expression

(x−4)(x−5). The signs are due to the fact that the first sign in the expression is a positive, which tells us that both signs must be the same, and the first sign is a negative, which means that, due to the positive sign in the expression, both signs are negative. To do the opposite, expanding, one must multiply

x by x, to get x2, add together 4 and 5 to get 9, and multiply them to get 20.

Step-by-step explanation:

the answer is c

Step-by-step explanation:

because I was working on it

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Actually, when you look at it, it' very simple.

So as you kno triangles always = 180

That makes this way easier when you think about it

Let's add the angels together

90+45= 135

Now we need to find the value of the missing angle

180-135= 45

So 45 is the missing angle

Since m∠C≈m∠B he side length (AB) is also 8

Now we can find the length of the hypotenuse

[tex]\sqrt{a^2 +b^2}[/tex]

a and b are the side lengths so just plug them in

[tex]\sqrt{8^2 + 8^2}[/tex]

Now you solve

Exact Form: 8[tex]\sqrt{2}[/tex]

Decimal Form: 11.31

Answer:(-3,2)

Step-by-step explanation:

The coordinates of the intersection point P of the diagonal CE and DH is  (-3,2)

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

The vertices of the parallelogram are the corners of a polygon or the point where any two sides of the parallelogram meet

Given,

Vertices of the parallelogram CDEH= C(-5,5), D(2,5), E(-1,-1) and H(-8,-1)

Parallelogram diagonals are CE and DH

Since the diagonals of the parallelogram bisects each other, mid point of the CE and DH will be the intersecting point of diagonals

Using the mid point theorem,

Mid point of CE is,

C(-5,5) and E(-1,-1)

x= [tex]\frac{-5-1}{2}=-3[/tex]

y = [tex]\frac{5-1}{2}=2[/tex]

Mid point of the CE is (-3,2)

Hence, the coordinates of the intersection point P of the diagonal CE and DH is  (-3,2)

Learn more about Parallelogram and Vertices of parallelogram here

https://brainly.com/question/1563728

#SPJ2