Use the slider to change the scale factor. The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle? ​

Answer:

[tex]6\frac{1}{3} or \frac{19}{3}[/tex]

Step-by-step explanation:

Rewriting our equation with parts separated

=8+1/2−2−1/6

Solving the whole number parts

8−2=6

Solving the fraction parts

1/2−1/6=?

Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.

LCD = 6

3/6−1/6=2/6

Reducing the fraction part, 2/6,

2/6=1/3

Combining the whole and fraction parts

6+1/3=6 1/3

Answer:

The area of the lawn is 68 [tex]m^{2}[/tex].

Step-by-step explanation:

Area of lawn = Area of garden - (Area of triangle + Area of trapezium)

Area of garden = length x width

                             = 14 x 10

                            = 140 [tex]m^{2}[/tex]

Area of triangle = [tex]\frac{1}{2}[/tex] x base x height

                          = [tex]\frac{1}{2}[/tex] x 3 x 8

                          = 12 [tex]m^{2}[/tex]

Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h

                              = [tex]\frac{1}{2}[/tex](5 + 7) 10

                               = 60 [tex]m^{2}[/tex]

So that;

Area of lawn = 140 - (12 + 60)

                      = 140 - 72

                      = 68 [tex]m^{2}[/tex]

The area of the lawn is 68 [tex]m^{2}[/tex].

Answer:

a. x=0

b x=-8

c x=49/2

Step-by-step explanation:

a. x2+4=4

subtract 4 from both sides

x2=0

multiply

2x=0

divide by 2

x=0

b x2 + 16 = 0

multiply

2x+16=0

subtract both sides by 16

2x=-16

divide by 2

x=-8

c  x2 − 49 = 0

multiply

2x-49=0

add 49 to both sides

2x=49

divide both sides by 2

x=49/2

Answer:

a. X= 0

b. X= undefined or X=4i

c. X= + or - 7

Step-by-step explanation:

a. x² + 4 = 4

when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.

then x² = 0 , where √x²=√0 , finally x=0

b. x² + 16 = 0

16 goes to other side by negative sign too

x² = -16 , where √x²=√-16 , finally x= undefined

due to the negative sign under thr square root.

at √-1 = i then x can be 4i

c. x² - 49 = 0

-49 go to the other side by positive sign

x² = 49 , where √x² = √49 , finally x= + or - 7

where negative sign is neglected at even power

example:

(-7)²=(7)²

Answer:

See proof below.

Step-by-step explanation:

Statements                                           Reasons

1. Seg. DE congr seg GF                     1. Given

2. <1 congr. <2                                     2. Given

3. DE || GF                                            3. Theorem: If 2 lines are cut by a transversal such that alt int angle are congruent, then the lines are parallel

4. DEFG is a parallelogram                4. Theorem: If a quadrilateral has two sides that are congruent and parallel, then it is a parallelogram.

Answer:

3ft tall yes 2ft and 12inches no

Step-by-step explanation:

hope this helps

Answer:

67

Step-by-step explanation:

The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The interval estimate of the population mean can be found out using the following formula:

[tex]\overline X\pm MOE[/tex]

Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.

On a highway, a random sample is taken of the speed, in mph, of 50 cars.

Put the values in the above formula as,

[tex]61.8\pm 2.3\\59.5,641[/tex]

Thus, the interval estimate of the population mean

[tex]59.5 < h < 61.8[/tex]

Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

Learn more about the margin of error here;

https://brainly.com/question/10218601

#SPJ2

Answer:

b and d

Step-by-step explanation:

Answer:

f(-2) = -6

Step-by-step explanation:

In the expression, to get f(-2);

we simply substitute the value of x with -2

We have this as;

f(-2) = -4(-2)^2 + 10

f(-2) = -4(4) + 10

f(-2) = -16 + 10

f(-2) = -6

Answer:

remember to give me brainliest :p

one solution

Step-by-step explanation:

:)

Answer:

No solutions

Step-by-step explanation:

6 - 3x = 4 - x - 3 - 2x

6 - 3x = 1 - 3x

6 = 1

No solutions (6 does not equal 1)

Answer:

left 4 up one because the coordinates are -4 , 1

Answer:

the first one (-4, 1)

Step-by-step explanation:

Answer: 1.5 liters

Step-by-step explanation:

3.80 divided by 4= 0.95     0.95 x 3= 2.85

2.85 is more than 2.70

mark me brainliest

Answer:

1. the quality of being made up of exactly similar parts facing each other or around an axis.

2. For something to be an odd function, it has to have symmetry to the origin, not the x-axis. This means that if it has a point like (a, b), it also has the point (-a, -b). For example, y = x is an odd function because it does this.

Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.

Answer:

609

Step-by-step explanation:

ratio of teachers to students at Priory School =2:27

Let X= total number of both the students and the teacher

Ratio of teacher=( 2/29)X

Ratio of student is (27/29 )X

But total number of teacher = 42

2/29 ×X =42

2X= 42×29

2X=1218

X= 609

Hence, school's total population is 609

Answer:

Mrs pitoya has to buy 9 crates of apples

Answer: She only needs to buy 5 more crates of apples.

30 + 20(x) = 130

30-30+20(x)=130-30

20x = 100

x = 5

Step-by-step explanation:

Answer:

we ended the Bubba pregnant woman he is not in there by the Monon the man that want to be. DMV

Answer:

11

Step-by-step explanation:

25% is 0.25 or 1/4

44 x 0.25 =11

Answer:

$37.50

Step-by-step explanation:

{25(3)}0.50

-25 people times 3 cups for each person= 75

-0.50 times the amount of cups= 37.50

You would make 37 dollars and 50 cents.

Answer:

250

Step-by-step explanation:

15=6%

?=1%

15/6=2.5

2.5=1%

1%=1/100

2.5 x 100=

250

Answer:

25m2

Step-by-step explanation:

b = 10

10 divided by 4 = 2.5

h = 2.5

2.5 times 10 = 25m2

Answer:

Prime factorization is finding prime number that are  multiply  together to make the original number.

Step-by-step explanation:

Answer:

49.53 nautical miles

Step-by-step explanation:

Adding 36 and 21 we get 57 miles.

57 converted to nautical miles would be 49.53

Answer: angle 5 and angle 10

angle 8 and angle 11

hope this helps!