The sides of a rectangle are in the ratio 1:2. If the rectangle has an area of 578 in2, find the dimensions of the rectangle and the perimeter

Answer:

(6.5 , 3.5)

Step-by-step explanation:

[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]

               [tex]=(\frac{10+3}{2},\frac{6+1}{2})\\\\=(\frac{13}{2},\frac{7}{2})\\\\=(6.5,3.5)[/tex]

Answer:

Step-by-step explanation:  sin β = [tex]\frac{oposite }{hypotenuse}[/tex] ; cos β = [tex]\frac{Adjacent}{Hypotenuse}[/tex]

10) sin [tex]32^{0}[/tex] = [tex]\frac{x}{18}[/tex]

18 sin [tex]32^{0}[/tex] = x

18 (0.53) = x

x= 9.5 units

cos [tex]32^{0}[/tex] = [tex]\frac{y}{18}[/tex]

18 cos [tex]32^{0}[/tex] = y

y = 18 (0.85)

y = 15.3 units

You use the same strategy for the rest of the questions. Feel free to reach out if you have more questions.

Answer:

Step-by-step explanation:

y= mx+b is the general equation where m is the slope

y= 1/2 x +6 has the slope 1/2

perpendicular lines have the slope negative reciprocal

so the slope of the ⊥ line is -2

y = -x +b , yet for point (4, 1) the x=4 and y =1

1= -4 +b so b= 5

the equation of the ⊥ line is y= -2x+5

Answer:

i say yes

Step-by-step explanation:

this is because it will give you the point to start with and the slope so you will already have all the information to graph

Answer:

49

Step-by-step explanation:

Let the three numbers be a1, a2, a3

Let the number to be added to form a geometric progression = x

a1 = 1 + x ; a2 = 11 + x ; a3 = 23 + x

For a geometric progression :

a2 = a1 * r

a2 = (1+x)r

11+x = (1+x)r - - (1)

r = (11+x) / (1+x) ---(1)

a3 = a2 * r

a3 = (11+x)r

23+x = (11+x)r - - -

r = (23+x) / (11+x) - - (2)

Equate (1) and (2)

(11+x) / (1+x) = (23+x) / (11+x)

(11+x) * (11+x) = (23+x) * (1+x)

121 + 22x + x² = 23 + 24x + x²

121 + 22x + x² - x² - 24x - 23 = 0

98 - 2x = 0

-2x = - 98

x = 98 / 2

x = 49

Answer:

Step-by-step explanation:

The least common multiple of 126 and 131 is

16,506

Answer:

1.8

Step-by-step explanation:

Slope: 1.8

Equation of the line: y=1.8x-2.6

Answer:

1/25

Step-by-step explanation:

If 3/5 have long hair, then 2/5 do not have long hair

So, the probability of no long hair, has blue eyes = 2/5(1/10) = 1/25

Answer:

c) subtract 6 from both sides to get it equal to 0

Step-by-step explanation:

Answer:

4.7x + 7.9

Step-by-step explanation:

trust

Answer:

D=1 or just 1, i dont get  what the question is

Step-by-step explanation:

Answer:

d=1

Step-by-step explanation:

Move 7 to the other side by subtracting 7 on both sides:

2d+7-7=9-7

The equation now looks like this:

2d=2

Divide 2 on both sides:

2d/2=2/2

The equation now looks like this:

d=1 which is the answer

Answer:

3/4, 5/6, 8/10 this is in fraction form though. just change it to 3:4

Answer:

so just successive powers of 2

Step-by-step explanation:

1, 3, 7, 15, 31, 63, _? Add successive powers of 2 to the number: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127.

The given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.

Given that,

To justify the given sequences 1,3,7,15.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
Given a sequence, 1,3,7,15
where first term      A0 = 1
         second term  A1 = 1 + 2 = 3
          third term      A2 = 3 + 4 = 7
From above sequence we can conclude the general term for the sequence as, S = A(n-1) + (A(n-1) + 1)

Thus, the given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.

Learn more about arithmetic progression here:
https://brainly.com/question/20334860
#SPJ2

Answer:

Step-by-step explanation:

4_|   3    -13    2   -5

              12    -4   -8

       3     -1     -2    -13

3x^2 - x - 2 - 13/(x - 4)

Step-by-step explanation:

this way we get value of x and y

hope it helps ☺️☺️

if u like give thanks

Answer:

$31.50

Step-by-step explanation:

30% of 45 is 13.5

45-13.5=31.5

Answer:

-5/2

Step-by-step explanation:

for perpendicularity;

[tex]m1 = \frac{ - 1}{m2} [/tex]

where m1 is first slope

and m2 is second slope

so here, let m1 be green line slope

and m2 be red line slope

thus,

[tex]m2 = \frac{ - 1}{m1} [/tex]

[tex]m2 = \frac{ - 1}{ \frac{2}{5} } = - 1 \div \frac{2}{5} [/tex]

[tex] = - 1 \times \frac{5}{2} = \frac{ - 5}{2} [/tex]

Answer:

h=-11.4

Step-by-step explanation:

because, 5.7+-5.7=-11.4

Answer:

use photo math

Step-by-step explanation:

Answer:

Step-by-step explanation:

 DIFFERENTIATE W.R.T. X

3x 2  +2x−4

EVALUATE

x  3  +x  2  −4x−16

EVALUATE

x  

3

+x  

2

−4x−16

Answer:

i think it will be C

Step-by-step explanation:

with the variability formula = squareroot p(1-p)/n which gives you 0.0192

Step-by-step explanation:

1.The "9-trick".To add 9 to any number, first add 10 and then subtract 1

2.Double +1

3.use adittion facts when adding bigger number.

4.subtract by adding

5.five times a number

6.four and eight times a number

7.multiply in parts

im good in math

Answer:

yes but no

Step-by-step explanation:

um well that is a lot by not if there is a bunch of people doing it.

Answer:

    24

Step-by-step explanation:

9 can be broken down to 3 because 3 x 3 = 9

15 can be broken down to 3 also because 3 x 5 = 15

> 9 + 15

= 3 ( 3 ) + 3 ( 5 )

= 3 ( 3 + 5 )

= 3 ( 8 )

= 24

Answer: 6.25

Step-by-step explanation:

6•4•(6.25)= 150

Answer:

The answer is A

Step-by-step explanation:

(-2,5).......

......

Answer:

5,640/15=y

y•15=5,640