Mathematics High School

A rectangles base is 2in. Shorter than twice its height. The rectangles area is 40in^2. Find it's dimensions.

Answers

Answer 1

Answer:

5 in by 8 in

Step-by-step explanation:

Given that :

Area, A of rectangle = 40 in²

Let

height = x

Base = 2x - 2

Area of rectangle = L * B

40 = x * (2x - 2)

40 = 2x² - 2x

2x² - 2x - 40 = 0

x² - x - 20 = 0

x² - 5x + 4x - 20 =0

x(x - 5) +4(x - 5) = 0

x - 5 = 0 or

x + 4 = 0

x = 5 or x = - 4

X cannot be negative

X = 5

Height = 5

Base = 2*5 - 2 = 8

Related Questions

What is the measure of ∠XYZ? show your work

Answers

Answer:

i don't know..........,......

any help? (with photos) ​

Answers

Answer:

the area of the shape is 24

Step-by-step explanation:

Simplify sin2q cot2q.

Answers

Answer:

cos2q

Step-by-step explanation:

sin2q x cos2q/sin2q

= cos2q

Which is equivalent to the ratio 35:100

Answers

Answer:

D

Step-by-step explanation:

35:100

/5. /5

7:20

and you cant simply anymore

Answer: D. 7:20

Step-by-step explanation: Because 35 divided by 5 =7

And 100 divided by 5 =20

So the answer is (D.) 7:20

please help solve this
(8x-4)(x^{3}-x-5)

Answers

The answer is 10x - 9
equation.
(x−1)(x−2)2=0(x-1)(x-2)2=0
If any individual factor on the left side of the equation is equal to
00
, the entire expression will be equal to
00.x−1=0x-1=0(x−2)2=0(x-2)2=0
Set the first factor equal to
00
and solve.
x=1x=1
Set the next factor equal to
00
and solve.
x=2x=2
The final solution is all the values that make
(x−1)(x−2)2=0(x-1)(x-2)2=0
true.
x=1,2x=1,2

Find the missing length

Answers

Answer: 15

Step-by-step explanation:

For this you will have to use pythagoras’ theorem.

The formula for the shorter side of this triangle is u²=c²-b² (or in this case u²=17²-8²).

17²=289

8²=64

The formula becomes u²=289-64 or u²=225

Then to find u on its own you have to square root 225.

The square root of 225 is 15.

Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 32 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 560 square feet of carpeting. What dimensions should the rug​ have?

Answers

Answer:

[tex]D=(20.42)(28.42)[/tex]

Step-by-step explanation:

From the question we are told that

Width [tex]W=24ft[/tex]

Length [tex]L=32ft[/tex]

She can afford to buy 560 square feet of carpeting

Let

[tex]S=width\ of\ strip[/tex]

Generally the Dimension of the rug is mathematically given as

Width of Rug [tex]W' = (24- 2S)ft[/tex]

Length of Rug [tex]L'= (32-2S) ft[/tex]

Generally the width of strip S is mathematically given by

[tex](32-2s)*(24-2s)=560[/tex]

[tex]-4s-112s+208=0[/tex]

[tex]s_1=-29.7\\s_2=1.748[/tex]

Therefore the width is

[tex]s=1.748[/tex]

Generally the dimension of the rug D is mathematically given as

Width of Rug [tex]W' = (24- 2s)ft[/tex]

[tex]W' = (24- 2(1.79))ft[/tex]

[tex]W' =20.42ft[/tex]

Length of Rug [tex]L'= (32-2S) ft[/tex]

[tex]L'= (32-2(1.79)) ft[/tex]

[tex]L'=28.42 ft[/tex]

Therefore dimension of Rug is given by

[tex]D=(20.42)(28.42)[/tex]

Apply the Distributive Property to rewrite 2(6 - x) = 3. Then solve th equation Apply the Distributive Property to rewrite 2(6 - x)= 3. Choose the correct answer below, A. 6(2) – 6X = 3 OB. 2(6) - 2x = 3 OC. 6(2) +GX = 3 ED. 2(6) + 2x = 3​

Answers

Answer:

x = ⁹⁄₂ Or 4.5

Explanation:

2(6 - x) = 3

Apply Distributive Property

2(6 - x) = 3

2(6) = 12, 2(x) = 2x12 - 2x = 3

12 - 2x = 3

Subtract 12 From Both Sides

12 - 2x - 12 = 3 - 12

Simplify

-2x = -9

Divide Both Sides By -2

-2x / -2 = -9 / -2

Simplifyx = ⁹⁄₂ Or 4.5

Answer:

Step-by-step explanation:

C

can someone please help me​

Answers

9514 1404 393

Answer:

  $24,670.42

Step-by-step explanation:

Assuming interest is compounded, the account value is multiplied each year by (1 + 8.25%) = 1.0825. After 25 years, the account value is ...

  $3400·1.0825^25 = $24,670.42

the product of 5 and 3 subtracted from 25

Answers

the answer is 10


explanation
5x3=15
25-15=10

Answer:

10

Step-by-step

5*3=15

25-15=10

Help!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A) g = 11

Step-by-step explanation:

26 = 7g - 63 + 12

26 = 7g - 51

77 = 7g

g = 11

plzzz help me yall due soon

Answers

Answer:

the answer is d ur welcome.

For this question the answer is d

Combine like terms.
9y2 + 9(7y2-5) =
I need this for now please

Answers

Answer:

72y2-45

Step-by-step explanation:

9y2 + 9(7y2 - 5)

you multiply the 9 by the stuff in the parentheses

9y2 + 63y2 - 45

72y2-45

Use the table to write a linear function that relates y to x

Answers

Answer:

y=0

x=-4

Step-by-step explanation:

equation

y= -4x

i was wrong sorryyyy

i need answers fast please help me i need it very badly

Answers

Answer:

i would love to help but the picture isnt loading for me and i dont know what to do.. sorry

Step-by-step explanation:

can some help me wit dis​

Answers

The answer is 6

•Triangles always equal 180 degrees

•The top angle is 90 meaning the others are 45

45+3=48

48/8=6

What triangle does it make

Answers

Answer:

Isosceles Triangle

Step-by-step explanation:

It has 2 equal degree's which are 74 and one 14 degree which makes it an isosceles triangle.

Answer:

an acute isosceles

Step-by-step explanation:

all of the angles are less than 90 and two of the side lengths are going to be the same length because to of the angles are the same

15 pints because 2 questions

Answers

Answer:

1.its B

2.G

Step-by-step explanation:

Which angle is an exterior angle?

Answers

Answer:

I presume that i° would be the exterior angle for this question.

Step-by-step explanation:

Any base raised to the power of 0 is 1.
ex)
x0= 1
A.True
B.False

Answers

Answer:

true

Step-by-step explanation:

just memorise it ........

Find the value of x in each figure.

Answers

Answer:d

Step-by-step explanation:

Find the solution to the following problem:
16 = X – 7
X=??

Answers

Answer:

-8/3

Step-by-step explanation:

2 questions correct anwser gets brainlyess​

Answers

Answer:

Question 1: x=55Question 2: m∠A=45°

Step-by-step explanation:

Question #1

- Since it is an isosceles triangle, this means that the base angles have the same value.

- The angle sum is 180°

Solve

2x+35+35=180

2x+70=180

2x=110

x=55

Question #2

- Since it is given there is a right angle, this means the angle is 90°

- The angle sum is 180°

Solve

5x+5x+90=180

10x+90=180

10x=90

x=9

It asked to find m∠A, which is 5x. So 5x=5(9)=45°

Hope this helps!! :)

Please let me know if you have any questions

5n+3=18
Please help with an explanation as well​

Answers

Answer:

n=3

Step-by-step explanation:

5n+3=18

subtract 3 from both sides

5n=15

divide by 5 on both sides

n=3

Answer:

n=3

Step-by-step explanation:

step 1- subtract 3 to both sides

+3-3=0    18-3=15

5n=15

step 2- divide both sides by 5

5÷5=1       15÷5=3

step 3- check answer by plugging in for n

5(3)+3=18

15+3=18

18=18

Hope this helps!

What is the perimeter of this triangle? 16 ft 8 ft 4 ft 12 ft

Answers

Answer:

40

Step-by-step explanation:

16 + (4+12) = 32 + 8 = 40

I’m confused on this

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

a = -3 , b = 2 , c = 5 & d = -4

[tex] \underline{ \underline{ \text{To \: Find}}} : [/tex]

Value of the given expression : [tex] \tt{ \frac{a - 4b}{3c + 2d}} [/tex]

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Plug the known values and then simplify !

⤑ [tex] \tt{ \frac{ - 3 - 4 \times 2}{3 \times 5 + 2 \times ( - 4)}} [/tex]

⤑ [tex] \tt{ \frac{ - 3 - 8}{15 + ( - 8)}} [/tex]

⤑ [tex] \tt{ \frac{ - 11}{15 - 8}} [/tex]

⤑ [tex] \tt{ \frac{ - 11}{7}} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{ \frac{ - 11}{7}}}}}}}} [/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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7 + r ≥ 18
Which is true?
11
10
9

Answers

Answer:

11

Step-by-step explanation:

ez

Answer:

11

Step-by-step explanation:

✨I NEED A SMART PERSON✨ (math)

Answers

Answer:

A and E.

Step-by-step explanation:

Using the math from 7th grade, 6 rooted is 36/9=4+10 is 14. Everything else you must multiply everything in parenthesis, by the outside number, then you add them. E is right because -15+35=20-6=14. Yw.

All I know is A and E are one of them

why do we get lonely also
what is 33/6 coverted to a mixed number

Answers

idek

Answer: 5 3/6 or 5 1/2

PLS HELP I WILL REALLY APPRECIATE PLS I WILL MARK YOU THE BRAINLY !

Answers

Answer:

try with this link https://es.symbolab.com/solver/square-roots-calculator

Step-by-step explanation:

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