the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution

Answers

Answer 1

Answer:

[tex]250cm^2[/tex]

Step-by-step explanation:

length = 5 + 2w

width = w

P = Sum of all sides

P = 2 * (5 + 2w) + 2w

P = 10 + 4w + 2w

P = 6w + 10

Given Perimeter = 70cm

We substitute

6w + 10 = 70

6w = 70 - 10

6w = 60

w = 60/6

w = 10cm

Since length is 5 + 2w

length = 5 + (2 * 10)

length = 25cm

Area = lw

Area = 25 * 10

Area = [tex]250cm^2[/tex]

Answer 2

Answer:

let

b=x then'

l= 2x+5

Now

p=70

2(l+b)=70

2(x+2x+5)=70

6x+10=70

6x=60

x=6

b=x=10

l=2x+5=25

area of rectangle = l*b

25*10

=250 answer


Related Questions

Help...Question 1 Objective: Apply properties of rhombi to solve mathematical and real-world problems. Rhombus LMNO is shown with its diagonals. Angle MNO measures 119º. What is the measure of angle LMN? M P N o​

Answers

Answer:

  61°

Step-by-step explanation:

As in all parallelograms, adjacent angles are supplementary.

  ∠LMN = 180° -∠MNO

  ∠LMN = 180° -119° = 61°

help.. What is the domain of the function

Answers

Answer:

i think d

Step-by-step explanation:

Distribute to write an equivalent expression 7(x+3)

Answers

Answer:

7x + 21

Step-by-step explanation:

7(x + 3)

= 7.x + 7.3

= 7x + 21

Answer:

[tex]7x+21[/tex]

Step-by-step explanation:

Multiply the single term 7 by each term of the polynomial [tex](x+3)[/tex]

Given that the line is x/3 + y/2 =1
i ) make y the subject
ii ) gradient of line

Answers

Answer:

see explanation

Step-by-step explanation:

(i)

[tex]\frac{x}{3}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 6 to clear the fractions )

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide through by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 2

(ii)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope ( gradient ) and c the y- intercept )

y = - [tex]\frac{2}{3}[/tex] x + 2 ← is in slope- intercept form ( that is part (i)

with gradient m = - [tex]\frac{2}{3}[/tex]

If the Diameter is ten then what is the area of it

Answers

Answer:

78.54

Step-by-step explanation:

Hope this helps!

BRAINLIEST
Solve for X. Round to the nearest tenth.

Answers

Answer:

12

Step-by-step explanation:

there is no x in the question

PLS HELP SOLVE FOR CROWN BRAINLIST !!!!!

Answers

It's the second one

-40 cuz that's the fee

Answer:

C = 21 + 40t

Step-by-step explanation:

C = initial + variable

The cost, C will be the initial price which is however much money it cost to just print t-shirts for 21 members plus the variable which is the extra 40 for each shirt.

Hope I helped!

Let f(x)=cosx. Determine the x-value(s) where the function has a maximum or minimum value on [0,2π).

Answers

Answer:

can u say what subject is that

(0, 1) is a local maxima and (π, −1) is a local minima of the given function.

The given function is f(x)=cos(x).

What is a function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

Amplitude: 1

Period: 2π

Phase Shift: None

Vertical Shift: None

The coordinates to plot the graph are (0, 1), (π/2, 0), (π, -1),....

To find the x-intercept, substitute in 0 for y and solve for x.

To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (π/2 +πn,0), for any integer n

y-intercept(s): (0,1)

Use the derivative to find the maximum and minimum.

(0, 1) is a local maxima and (π, −1) is a local minima

Therefore, (0, 1) is a local maxima and (π, −1) is a local minima of the given function.

To learn more about the function visit:

https://brainly.com/question/9554035.

#SPJ2

solve the Simultaneous equations : x+y=5; x-y=1​

Answers

Answer:

x=3 and y=2

Step-by-step explanation:

These equations line up quite nicely, so let's use the elimination method.

x+y=5

+ x-y=1

-------------

2x=6.

Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides

x=3.

Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.

3+y=5.

We subtract 3 from both sides to get y=2.

We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.

Have a nice day :)

is
-f(x)
the same as
f(-x)

Answers

Answer:

  In general, no.

Step-by-step explanation:

f(-x) = -f(x) when the function is "odd." Such a function is symmetrical about the origin. This will not generally be the case, so, in general, -f(x) ≠ f(-x).

_____

Additional comment

When f(-x) = f(x), the function is "even." It is symmetrical about the y-axis.

Among trig functions, sin(x) is odd, and cos(x) is even.

Among polynomials, any polynomial with only odd-degree terms is odd; any polynomial with only even-degree terms is even.

The distance from the Earth to the moon is approximately 238,900 miles. What is the value of 8 in this number?

Answers

8000                                                    hope it helps :) :)                                                

Answer:

8000

Step-by-step explanation:


l
The ratio of the sides of two similar hexagons is 3:4. If the area of the smaller hexagon is 36 cm2, what is the area of the larger hexagon? (A
hexagon has 6 sides)

Answers

Answer:

64 cm²

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 3 : 4

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger hexagon then by proportion

[tex]\frac{9}{16}[/tex] = [tex]\frac{36}{x}[/tex] ( cross- multiply )

9x = 16 × 36 = 576 ( divide both sides by 9 )

x = 64

Area of larger hexagon = 64 cm²

Please help me with this question

Answers

Answer: It's the 3rd one. Secant line

Ella bought some keychains and spent a total of $24 each she can cost the same whole dollar amount. How many she bought between seven and 11 key chains. How many key chains did Ella buy?

Answers

Answer:

8

Step-by-step explanation

Find the factors of 24

1,2,3,4,6,8,12,24

find the number that is in the range of 7 and 11

Any help is appreciated, this is timed :)

Answers

Answer:

step 6 has an algebraic error

Please help I need to show my work

Answers

is your test online or on paper? how would you show work. i’ll comment the answer on this

Find the missing value given the points and slope.


(x,1) and(4,6)


m=−5

Answers

Answer:

x = 5

Step-by-step explanation:

yeah-ya...... right?

Step-by-step explanation:

the slope is the ratio y change/ x change.

it is -5 here, that means -5/1.

we see in the points that y changes +5 units (from 1 to 6). so, to get a negative slope, the x change must be negative then (and must be -1, so that we still get the slope of -5/1).

in order for the x change to be -1 when going from point 1 to point 2, the starting x of point 1 must be 4 + 1 = 5.

so, point 1 is (5, 1).

point 2 is a indicated (4, 6).

Miguel, Christian, Amber, Sophia, and Kadin eat dinner together at Texas Roadhouse. The total bill is $53.25. They decide they want to split the bill evenly.

How much should each person pay

Answers

Answer:

17.75

Step-by-step explanation:

So what we know is that we have to DIVIDE the bill evenly by the amount of people sharing the bill.

> 53.25 / 3 = ?

> 5 - 3 = 2 ( one 3 goes into 5 )

> 23 - 21 = 2 ( seven 3s goes into 23 )

> 22 - 21 = 1 ( seven 3s goes into 22 )

> 15 - 15 = 0 ( five 3s goes into 15 evenly )

> 53.25 / 3 = 17.75

So this should be your result afterwards.

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Answers

Answer:

increasing

add

21

those are the answers for the blanks going down

what’s the reciprocal of 5 4/9

Answers

Answer:

9/49

Step-by-step explanation:

5 4/9 =49/9 and49/9*9/49=1 then reciprocal of 49/9 is9/49

HELP *picture inserted*

Answers


The answer is b……..

Using algebra, describe in two or more complete sentences how to determine if the function is odd.

Answers

Answer:

If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.

Step-by-step explanation:

Now expand the the expression

Answers

Answer:

5x + 4

Step-by-step explanation:

1/2 (10z + 8)

= 1/2 x 10z + 1/2 x 8

= 5z + 4

Hope this helps!!

-10+2= (operation of integers)

Answers

Answer:

-8

Step-by-step explanation:

Hi there! :)

-10+2=-8

Hope this helps!

~Just a determined gal

#CarryOnLearning

Please mark brainliest; I would really appreciate that! :)

[tex]MysteriousNature :)[/tex]

can someone help me solve this problem? (photo) ​

Answers

Answer:

[tex] - \sqrt{ - (2 \times 2 \times 2 \times 2 \times 3)} [/tex]

[tex]4 \sqrt{ - 3} [/tex]

hope it's helps

answer is B)-4root3

Answer:

[tex]-4i\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{-1} =i[/tex]

[tex]\sqrt{a} \sqrt{b} =\sqrt{ab}[/tex]

[tex]-\sqrt{-48} =-\sqrt{-1} \sqrt{48} =-i\sqrt{16} \sqrt{3} =-4i\sqrt{3}[/tex]

If 3x + 2 > X + 8 then

Help please

Answers

Answer: x>3

Step-by-step explanation:

3x + 2 > X + 8

2x  > + 8 - 2

2x > 6

x > 3

The graph of a quadratic function has y-intercept 10 and one of its x-intercepts is 1

Answers

Answer:

  c = 10

Step-by-step explanation:

For quadratic

  y = ax^2 +bx +c

the y-intercept is c.

  c = 10

_____

The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...

  y = c

Find the x-intercept of y=1/2x-4

Answers

the x intercept is 8

Answer:

X=1/2

Step-by-step explanation:

Y=mx+b

After spraying perfume on her neck, Tasha becomes less aware of the scent over time. What property is this describing

Answers

Answer:

Sensory adaptation? im guessing

Step-by-step explanation:

I only need question 51 pleaseeee

Answers

Answer:

I think they both did reason correctly! Since they got different answers, we can conclude the initial plan was incorrect.

Step-by-step explanation:

      Both of their work looks to be correct. Since they both have correct solutions, we can conclude that the initial plan was incorrect and that an angle was recorded wrong.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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