Mathematics High School

A rectangular portrait has an area of 40 square feet it's perimeter is 26 feet what are the dimensions of the portrait?

Answers

Answer 1

Answer:

Step-by-step explanation:

Portrait is in the shape of a rectangle.

And the area of a rectangle = Length × Width

Let the length of the portrait = l

And width of the portrait = w

Area of the portrait = lw

lw = 40

l = [tex]\frac{40}{w}[/tex]

Perimeter of a rectangle = 2(Length + width)

Perimeter of the portrait = 2(l + w)

26 = 2(l + w)

l + w = 13 ----------(2)

By substituting the value of 'l' in equation (1) from equation (2)

[tex]\frac{40}{w}+w=13[/tex]

40 + w² = 13w

w² - 13w + 40 = 0

w² - 8w - 5w + 40 = 0

w(w - 8) - 5(w - 8) = 0

(w - 5)(w - 8) = 0

w = 5, 8 feet

From equation (2)

l = 8, 5 feet

Therefore, dimensions of the portrait are (5 feet by 8 feet) Or (8 feet by 5 feet).

Related Questions

Which of the following expressions shows the distributive property applied to the expression below?
z × (6 + 35)

A.
z + (6 + 35)
B.
(z + 6) × (z + 35)
C.
(z × 6) + (z × 35)
D.
z × (6 × 35)

Answers

Answer:

C. (z×6)+(z×35)

.....

A new laptop is on sale for $550 dollars. To pay for it you place it on your credit card which charges 12% percent interest each month

Answers

The answer would be $75 each month.

The interest amount charged on a new laptop is on sale for $550 dollars is $66.

Given that, a new laptop is on sale for $550 dollars.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, 12% of 550

= 12/100 ×550

= 0.12 ×550

= $66

So, interest is $66

Therefore, the interest amount charged on a new laptop is on sale for $550 dollars is $66.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ5

Write the equation of the line that passes
through the points (-6,3) and (3,-9)

Answers

Answer:

slope intercept form:

y = -4/3x - 5

Step-by-step explanation:

hope this helps! :)

If you shift the quadratic parent function f(x))=x^2right 12 units what is the equation o the new function

Answers

hmm

the question doesn't look clear

combine like terms 9y + 3y + 5x

Answers

Answer:

=12y+5x

Step-by-step explanation:

Answer:

12y+ 5x

Step-by-step explanation:

9y + 3y + 5x

9y and 3y are like terms

9y+3y = 12y

12y+ 5x

Javier will have a party at home. His budget is no more than $75 for pizzas and wings.
The price of the pizza is $7.50 each and one package of wings is $5.50. Which inequality
can be used to determine the number of pizzas x and packages of wings y that Javier can
buy?
A 7.50x + 5.50y > 75
B 5.50x + 7.50y s 75
C 7.50x + 5.50y s 75
D 7.50x - 5.50y 27

Answers

Answer: 7.50x+5.50 less than or equal to 75

Step-by-step explanation:

Write a unit rate for the situation. Show all work!
12 goals in 3 hours

HELP THIS IS DUE IN 12 MINUTES!

Answers

Answer:

4 goals per hour

Step-by-step explanation:

[tex]\frac{goals}{hour}=\frac{12}{3}=\frac{12/3}{12/3}=\frac{4}{1}[/tex]

The unit rate would be 4 goals per hour.

Hope this helps.

Solve for x. 26x2–9x=0

Answers

Answer:

x=0;x=[tex]\frac{9}{26}[/tex]

Step-by-step explanation:

assuming you meant 26x^2-9x=0:

[tex]26x^{2} -9x=0\\x(26x-9)=0\\x=0;x=\frac{9}{26}[/tex]

hyxetdryufgukhchfxrdtygujhftyuhuhyguhjygyu

Answers

Answer:

so the answer is: eijieljnqwsmiqwmx

did i answer it correctly let me know

Step-by-step explanation:

Destroy your keyboard by smashing each random word on the poor broken keyboard

yea that is correct. also you should watch attack on titan it’s a pretty good show. also the plot is amazing

Ten deer were introduced into a protected preserve. Their expected population doubles each year. Which function represents the same relationship?

Answers

Answer:

y(t)= 10 (2)^t

Step-by-step explanation:

If t is the number of years given then the expected number can be found by

y(t)= 10 (2)^t

where t takes the value 0,1,2,3, and so on.

Putting t= 0

y(t)= 10 (2)^t

y(0)= 10 (2)^0

y(0)= 10 For the start the number of deer are 10.

Putting t= 1

y(t)= 10 (2)^t

y(1)= 10 (2)^1

y(1)= 20 After 1 year it has doubled to 20

Putting t= 2

y(t)= 10 (2)^t

y(2)= 10 (2)^2

y(2)= 40 After 2 years it has again doubled to 40

Putting t= 3

y(t)= 10 (2)^t

y(3)= 10 (2)^3

y(3)= 80 After 3 years it has again doubled to 80

Which known figures make up this unknown figure?

Answers

The known figures that make up this unknown figure are a trapezoid and a half circle.

Answer:

trapezoid and half circle.

Step-by-step explanation:

PLEASE ANSWER THANK U SO MUCH

Answers

Answer:

answer is 21 : 4

hope it helps ......

Answer:

k = 5.25

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of proportionality

To find k use the condition y = 84 and x = 16 , then

84 = 16k ( divide both sides by 16 )

5.25 = k

If x = 6, then what is y in this equation

-2x + 16 = y?

1) y=-12

2)y = 22

3) y=4

4)y=-22

Answers

Answer:

y equals 4 because if you substitute solve and isolate you get that answer.

1. Tell me if each of the following is True or False A. Angles EOD and DOC are Vertical Angles. B. Angles FOD and Angle DOC are adjacent C. Angles FOD and AOC are equal D. The sum of the measurements of Angles of AOC and BOC and equal to FOD E. FOE and DOD are completely Angles F. Angles FOA, AOB, and AOC are Supplementary Angles

Answers

Answer:

Do you have any Images?

Step-by-step explanation:

Answer:

I don't get it.

Step-by-step explanation:

Figure A is a scale image of figure B.
Figure A
Figure B
16
Figure A maps to figure B with a scale factor of
4.
9
What is the value of 3?

Answers

Answer:

x = 36

Step-by-step explanation:

16 / (4/9) = 36

That's all there is to it. Hope I helped

the lines shown below are parallel. if the green line has a slope of -2/3, what is the slope of the red line?
PLEASE JUST TELL ME THE ANSWER AND DON’T GIVE ME A LINK!!!

Answers

Answer:

2/3

Step-by-step explanation:

If the line is perpendicular, multiply the slope by -1 to find the answer

What is the surface area of the figure?
below is a picture of the figure and the answer options
Pls help me I'm DESPERATE

Answers

Answer:

The answer is 24cm²

Step-by-step explanation:

The triangle area is given by A*½ and we get 4*2*½=6

Rectangle one is given as L*W and we solve 3*4= 12

Rectangle two is solved as L*W as well so we solved 1.5*4= 6

and we get 24cm²

Help with this
Please

Answers

Answer:

1. B

2. E

3. D

4. F

5. A

help plzzzzzzzzzzzzzzzzz

Answers

Answer:

100

Step-by-step explanation:

a=b a=4x4x+x+10+6x+5=1804×+x+6x+10+5=18011x=180-15165÷15 =x=15

6x+10=15×6=90+10

=100

What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?

Answers

Answer: (x + 3)^2 + (y - 4)^2 = 49

Step-by-step explanation:

The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2

Given: center (-3,4) ; h = -3 and k = 4

diameter = 14

To find the radius: divide the diameter by 2 = 14/2 = 7 = r

Center: (-3,4) and radius: 7

Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2

Substitute h = -3, k = 4, r = 7

(x - (-3))^2 + (y - 4)^2 = 7^2

Answer:

Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49

You have $20 to spend for cupcakes. If each cupcake costs $4, write and solve an inequality to show the maximum number of cupcakes you can buy.

Answers

You could buy 5 cupcakes

Answer:
5 cupcakes

Explanation:

20/4=5

WHAT IS THE MEDIAN I WILL GIVE BRAINIEST

Brainliest pls

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