3. A rectangle has width 2x and length 2x+4.2x metres
(2x + 4) metres
a) Find an expression for the perimeter of this rectangle.
b) Find the value of x if the perimeter is 240 metres.
c) Find the length and the width.
4.a) Write an expression for the perimeter of the rectangle.
(x - 2) cm
(3x + 4) cm
b) Simplify the expression.
c) What is the perimeter when x = 5?
d) What is the value of x when the perimeter is 60 cm?
e) What are the dimensions of the rectangle when the perimeter is 60 cm?​

Answers

Answer 1
Answer: a-8x+8
b-29
c-w=58 l=62
4a-2(3x+4)+2(x-2)
b-8x+4
c-44
d-7
e-5 and 25

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On a recent day a Euro was equal to about 1.2 American dollars. Write an expression which estimates the number of dollars in x Euros. Then estimate the number of American dollars equal to 25 Euros.

A school is building a rectangular soccer field that has an area of 6000 yards. The soccer field must be 40 yards longer than it's worth. Determine algebraically the dimensions of the soccer field, in yards. Show/ explain work

Answers

Given, soccer field length is 40 m longer than width
lets consider width=w
 so, length = w+40
area = length*width=6000
(w+40)*w=6000
w^2 +40*w-6000=0;
w^2+(100*w-60*w) -6000=0
(w^2 + 100*w) - (60*w+6000)=0
w(w+100)-60(w+100)=0
(w+100)(w-60)=0
w=60, because width will not be '-100'
w=60 and L=60+40=100

Graph the following equations and give the slope. Label and (if not using graph paper) mark axis.14.x=4
15. y = 2
16, 2x - y = 5
17. y - 1 = =(x + 3)

Answers

Answer:

Step-by-step explanation:

14. x=4

vertical line(no slope) with one coordinate being (4,0)

15. y=2

horizontal line(no slope) with one coordinate being (0,2)

16. 2x-y=5

slope= 2; two coordinates are (0,-5) and (2,-1)

17. y-1=(x+3)

slope= 1; two coordinates are (-4,0) and (0,4)

HOPE THIS HELPS!!! :)

27 is 10% of what number?

Answers

27 multiplied by 10 will give you the answer. 27 x 10 = 270.
27     10                  (27*100)/10 = X        2700/10 = 27. 27 is your answer... 
-    =    -                                                   I hope this helps!
x       100

Round 131.625 to the nearest tenth

Answers

131.625 to the nearest tenth is 132
The answer is 131.6 :-)

Find the total surface area of the following cone. Leave your answer in terms of pi.

Answers

Answer:

90π cm²

Step-by-step explanation:

Given: Radius of circular base= 5 cm

           height= 12 cm

   

Now finding the surface of cone.

Formula; Surface area of cone= \pi rl+ B

Where; r= radius

l= slant height

B is the area of base, which is circle.

Area of circle (B)= πr²

Area of circle (B)= \pi * 5^(2) = 25\pi

Area of circle (B)= 25\pi

Finding slant height (l)

Formula; l= \sqrt{r^(2)+h^(2)  }

⇒l = \sqrt{5^(2)+12^(2)  } = √(25+144 )

l= √(169) = 13\ cm

Next, using the formula for finding surface area of cone.

Surface area of cone= 5* 13* \pi + 25\pi

⇒ Surface area of cone= 65\pi +25\pi = 90\pi

Surface area of cone= 90π cm²

Answer:

S.A. = 90 pi cm2

Step-by-step explanation:

1. pi(3.14) x radius(5) x slant height(13) = 90

The sum of remainders obtained when x3+(k+8)x +k is divided by x-2 and when it is divided by x+1 is 0 fine the value of k

Answers

Answer: k=-5


Step-by-step explanation:

The remainder theorem says that for any polynomial p(x) , if we divide it by the binomial x−a , the remainder is equal to the value of p(a) .

Therefore for p(x)=x^3+(k+8)x+k if it is divided by x-2 and x+1 then its remainder must be p(2) and p(-1)

where, p(2)=2^3+(k+8)2+k=8+2k+16+k=3k+24

p(-1)=(-1)^3+(k+8)(-1)+k=-1-k-8+k=-9

According to the question,

p(2)+p(-1)=0

\Rightarrow3k+24-9=0\n\Rightarrow3k+15=0\n\Rightarrow3k=-15\n\Rightarrow\ k=(-15)/(3)\n\Rightarrow\ k=-5