A rectangle has a perimeter of 42 m and a length of 15 m. What is
the width of this rectangle in metres? (Perimeter = 2(length + width))

Answers

Answer 1

Answer:

6 meters

Step-by-step explanation:

the perimeter is all of the sides added up so to find the added width you subtract the added length which is 30 so 42-30 is 12 so the added width is 12. To find one width you divide 12 by 2 so one width of the rectangle would be 6 meters

Answer 2
The perimeter of a rectangle is 2+2=
2
L
+
2
W
=
P
. The diagonals can be represented as 2+2=2
L
2
+
W
2
=
D
2
. Plugging in, we have:

2+2=42⟹+=21
2
L
+
2
W
=
42

L
+
W
=
21


2+2=152=225
L
2
+
W
2
=
15
2
=
225


We can square the first equation and subtract the second:

+=21
L
+
W
=
21


(+)2=212
(
L
+
W
)
2
=
21
2


2+2+2=441
L
2
+
2
L
W
+
W
2
=
441


2+2+2−(2+2)=441−225
L
2
+
2
L
W
+
W
2

(
L
2
+
W
2
)
=
441

225


2=216
2
L
W
=
216


It doesn’t tell us much, but we can now more easily substitute and solve for
L
.

=21−
W
=
21

L
& =108
L
W
=
108


(21−)=108
L
(
21

L
)
=
108


21−2=108
21
L

L
2
=
108


2−21+108=0
L
2

21
L
+
108
=
0


We can use the quadratic formula

=−±2−4√2
x
=

b
±
b
2

4
a
c
2
a


=21±441−432√2=21±9√2=21±32
L
=
21
±
441

432
2
=
21
±
9
2
=
21
±
3
2


=21+32=242=12
L
=
21
+
3
2
=
24
2
=
12


=21−32=182=9
L
=
21

3
2
=
18
2
=
9


We now know =9
L
=
9
or =12
L
=
12
. From this, we can calculate
W
by plugging
L
into =21−
W
=
21

L
.

=21−9=12
W
=
21

9
=
12


=21−12=9
W
=
21

12
=
9


We have two solutions:

1)=9
1
)
L
=
9
& =12
W
=
12


2)=12 2)L=12 &
=9 W=9


Both of which are the same, though. Our rectangle has side lengths of 9
9
, 12
12
, 9
9
, & 12
12
.

Related Questions

Solve 2x + 6 > 20.
O A. x> 13
O B. x>7
O c. x< 13
O D. x<7

Answers

Answer:

the answer is x>7

Step-by-step explanation:

The solution of the inequality 2x + 6 > 20 is x<7.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the inequality 2x + 6 > 20.

Now, Subtract 6 from both side we get

2x+ 6 - 6< 20 - 6

2x < 14

Divide both side by 2 we get

2x/2 < 14/2

x< 7

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What is the remainder when x3+4x2−7x−10 is divided by x+4?
Enter your answer as an integer, like this: 42

Answers

Answer:

18

Step-by-step explanation:

If a polynomial f(x) is divided by (x + h) then the remainder is equal to f(- h)

Given

f(x) = x³ + 4x² - 7x - 10 and divided by (x + 4), then the remainder is

f(- 4) = (- 4)³ +4(- 4)² - 7(- 4) - 10 = - 64 + 64 + 28 - 10 = 18

Thus the remainder is 18

Please help me out!​

Answers

Answer:

50

Step-by-step explanation:

0.2 is the correct answer

What is the binary number for 3​

Answers

Answer:

11

Step-by-step explanation:

hope this helps

0011 hope it helped

Have a nice day! <3

what is the slope of the line that contains these points?

Answers

The slope would be -8

Find the value of x in each case:

Answers

Nice... you might have put the wrong picture lol

Answer: How’s that 2021 going for u?

Step-by-step explanation:

Whats 3 x 5
pls i give brainlieistsd

Answers

Answer:

the answer is 15 hdkdiemidd

Label the endpoints to round 21.897 to the nearest hundredth​

Answers

Answer:

21.897 to the nearest hundredth is 2.19

Need help asap thank u !!! Finding the measure of angle N

Answers

Answer:

Its 20

Step-by-step explanation:

can someone pls help me with this answer!

Answers

Answer:

3.5<2

2>3.5

Step-by-step explanation:

c=40squared+35squared minus 2 times40 times 35cos(50)?
the answer to this is then square rooted but i cant figure it out

Answers

Step-by-step explanation:

c² = 40² + 35² − 2(40)(35)cos(50)

c² = 1600 + 1225 − 2800 cos(50)

c² = 1025.195

c = 32.019

Can someone give me the answers?

Answers

Answer:

Step-by-step explanation:

3     1

9     3

15    5

21     7

What the guy said at the bottom is the best choice

find the slope of japan to the philippines


Answers

Answer:

y = 2/1x - 7

y = 2x -7

y= mx + b is the formula

rise over run

Which equation has a slope of -34 and goes through the point (-3,4)?




y-4=-34(x-3)
y-4=-34(x+3)
y-3=-34(x+4)
y+3=-34(x-4)

Answers

Point slope: y-y1 = m(x-x1)
It would be y-4 = -34(x+3)
The second response is the answer

Ashton says that the zeros of the equation y=6x^2−5x−25 are at x=52 and x=−53. Which statement correctly describes Ashton's claim?

Answers

Answer:

Ashton is correct. The quadratic expression has the factors (2x−5) and (3x+5), so the zeros are at x=5/2 and x=−5/3.

Step-by-step explanation:

The answer itself has the step-by-step explanation.

Step-by-step explanation:

In a class full of men and women,
4
7
of the class are women. What is the ratio of men to women in its simplest form?

Answers

Answer:

3/7

Step-by-step explanation:

7/7 - 4/7 = 3/7

3/7 is in its simplest form!

Answer:

pppppp lo hehehe

Step-by-step explanation:

hehehe

HELPPP ASAP PLSSS
Which is the best estimate of the product of the fractions

Answers

the best estimate is 1/2

When you multiply a function by -1, what is the effect on its graph?
A. The graph flips over the line y=x
B. The graph flips over the x-axis
C. The graph flips over the y-axis

Will give brainliest! TYSM! <3

Answers

9514 1404 393

Answer:

  B.  The graph flips over the x-axis

Step-by-step explanation:

When you plot the coordinate pair (x, y), you plot the point 'y' units above the x-axis. If you change the sign of that (multiply the function by -1), then the point becomes (x, -y), and is plotted 'y' units below the x-axis.

The graph flips over the x-axis.

__

Attached is an example of a function with its original graph (red) and the graph after being multiplied by -1 (blue). The blue graph is a reflection of the red graph across the x-axis.

translate to an algebraic expression:

12 less than the square of a number


Answers

Answer:

12-x²

Step-by-step explanation:

I hope this helps you, please give me brainliest

Pls help
11% of 57 =
39% of 28 =
8% of 97 =
6% of 24.4 =
77% of 9.2 =

Answers

Answer:

1, 6.27, 2, 10.92, 3, 7.76, 4, 1.464, 5, 7.084

Step-by-step explanation:

Answer:

11% of 57= 56.89

39% of 28= 27.61

8% of 97= 96.92

6% of 24.4= 24.34

77% of 9.2= 8.43

What are the domain and range of f(x) = -377

Answers

Answer:

Domain:(−∞,∞),{x|x∈R}(-∞,∞),{x|x∈ℝ}

Range:{−377}

Step-by-step explanation:

What is the sum of the first 100 odd numbers? Start with adding the first 2, 3, 4 odd numbers.

Answers

Answer:

The sum of the first 100 odd numbers is 10,000

Step-by-step explanation:

Here, we want to find the sum of the first 100 odd numbers

Mathematically, we can use the formula for the sum of term in a sequence which is;

Sn = n/2(a + L)

where n is the number of terms

L is he last term

a is the first term

The difference between two consecutive odd numbers is 2

So:

T100 = 1 + (100-1)2

T100 = 1 + 198

T100 = 199

So;

sn = 100/2(1 + 199)

Sn = 50(200)

Sn = 10,000

Step-by-step explanation:

the sum of the first 100 odd numbers 10000

Please help me out!​

Answers

Answer:

it is x3=0.4

Step-by-step explanation:

If you want to find the decimal form of a fraction, all you need to divide the numerator by the denominator by using a calculator or long division method. Right after, all you need to add the decimal number to the whole number. What is 5/8 as a decimal? 5/8 expressed in a decimal form expressed as 0.625.

Top right choice is correct

on a number line, 2.2 would be located. Choose all answers that make a true statement.
A. between 2.1 and 2.3
B. to the left of 2.54
C.to the right of 2.6
D. to the right of 2.19

Answers

A, B and D are true

————————————-
2.1 2.19 2.2 2.3 2.54 2.6
A, B, and D are all true

Please help ASAP!!!!!!

Answers

Answer:

D: 2/3x - 13/12 = -5/12x

Step-by-step explanation:

2/3x - 5/6 = -5/12x + 1/4

To simplify, the denominator must be the same. So,

5/6 = 10/12

and 1/4 = 3/12

Then, you move the values to the same side via addition or subtraction.

2/3x (- 10/12 - 3/12) = -5/12x

2/3x - 13/12 = -5/12x

Determine the domain and the range for this relationship
Drag the tiles to the correct locations on the image. Not all tiles will be used
domain:
range:

Answers

Answer:

domain: range: {0, 12, 24, 36, 48, 60, 72}

Step-by-step explanation:

The  range & domain {0, 12, 24, 36, 48, 60, 72}.

What are range and domain?

To discover the area and variety, we without doubt solve the equation y = f(x) to decide the values of the unbiased variable x and achieve the area. To calculate the variety of the feature, we actually express x as x=g(y) after which find the domain of g(y).

Range, the distinction between the very best and the bottom values in a set. c programming language (mathematics), additionally referred to as range, is a set of real numbers that consists of all numbers between any two numbers inside the set.

The input values. given that there may be an even root, exclude any actual numbers that result in a terrible wide variety inside the radicand. Set the radicand greater than or equal to zero and remedy for x. the solution(s) is the area of the feature.

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what are the zeros of f(x)=(x-1)(x+6)

Answers

x would equal (1,6) !!

Answer:

x = - 6, x = 1

Step-by-step explanation:

To find the zeros, let f(x) = 0, that is

(x - 1)(x + 6) = 0

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 1 = 0 ⇒ x = 1

A restaurant has two appetizer specials. Tomato bread costs $5.50, and stuffed mushrooms cost $6.75. The total amount in sales from the two appetizers on a Friday night was $186.75. Which equation can be used to represent x, the number of stuffed mushroom orders and y, the number of tomato bread orders?

5.5x + 6.75y = 186.75
6.5x + 5.75y = 186.75
6.5x + 5.5y = 186.75
6.75x + 5.5y = 186.75

Answers

Answer:

d

Step-by-step explanation:

Answer:

D) 6.75x+5.5y=186.75

Step-by-step explanation:

Took the quiz.


HELP
What is the equation for this situation?
The table shows a representation of the number of miles
a car drives over time.
Hours, x
Miles, y
Which could NOT be a point on this table?
3
195
4
260
5
325
6
390
Pattern: Each x value is multiplied by 65
to get each y value.

Answers

Answer:

Equation:   y = 65x

Randomly pick a x and y value and plug into above equation, if they don't equal then the x and y you've picked cannot be on this table.

Step-by-step explanation:

Pick any two points to find slope, let's got with (3, 195) and (4, 260):

  slope m = (y₂- y₁) / (x₂ - x₁)

                = (260 - 195) / (4 - 3)

                = 65 / 1

            m = 65

Find y-intercept by using m from above and another point from your table, let's go with (5, 325):

  y = mx + b

  325 = 65(5) + b

  325 = 325 + b

  b = 0

Use m and b to form equation of line:

  y = mx + b

  y = 65x + 0

  y = 65x

Check:

  point (3, 195):   195 = 65(3)       ====>   195 = 195

  point (4, 260):   260 = 65(4)     ====>   260 = 260

  point (5, 325):   325 = 65(5)     ====>   325 = 325

  point (6, 390):   390 = 65(6)     ====>   390 = 390

Example of a point that doesn't belong on table:

  point (8, 500):    500 = 65(8)    ====>   500 520

The equation of the line is y = 95x option (D) and the point (8, 445) is not on the line option (B) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The table shows a representation of the number of miles a car drives over time. Hours, x

The equation of the line:

y - 195 = (260-195)/(4-3)[x - 3]

y - 195 = 65(x - 3)

y = 65x - 195 + 195

y = 65x

Plug x = 8

y = 195(8) = 1560

Thus, the equation of the line is y = 95x option (D) and the point (8, 445) is not on the line option (B) is correct.

The missing options are:

What is the equation for this situation?

y = 195x +3y = 195xy = 65x +3y = 65x

Which could NOT be a point on this table?

(2, 130)(8, 445)(1, 65)(11, 715)

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50 pointsssss!!!!
Donny used a ruler to measure the distance across the face of a dime.

Which answer is a reasonable measurement for the width of the dime?


17.9 mm

0.705 in.

1.79 cm

7.05 in.

Answers

17.99mm and ).705 in

Step-by-step explanation:

Answer:

0.705 inches and 1.79 centimeters are both reasonable answers (they're the same)

Step-by-step explanation:

18 milimeters is too small

7 inches is too big

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