Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.

Answer:

the answer is opposite

Answer:

61

Step-by-step explanation:

Rectangle area=

[tex]60 \times 40 = 2400yd ^{2} [/tex]

The area at the right

[tex](\pi \times 20^{2} ) \div 2 = 628yd^{2}[/tex]

Total area = 2400+628=3028yd^2

Now you have to find the quantity of grass seed needed (1pound for every 50yd square)

3028/50=60.56 (which is almost 61)

Answer:

[tex] \frac{1}{5} + z = \frac{3}{5} [/tex]

Answer:

1/5+z=3/5

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The communative property states that the order in addition and multiplication dosen't matter.

Answer:

x ≤ 3

Step-by-step explanation:

Answer:

The value of x is 2.

Step-by-step explanation:

The key to this solution is to combine like terms.

2x-3 > 11-5x

There are lots of ways to combine them but the way I think would be the most simple would be to avoid negative numbers (although I personally enjoy it) but anyways,

First, you can add 5x to both sides of the inequality.

This would cancel out 5x and leave you with: 7x-3 > 11

The next terms that you can combine can be the constants. You can combine -3 and 11 and to do that, you add 3 on both sides. That would cancel 3 out and leave you with: 7x > 14

Now, the last step is to get x by itself and to do that, you divide 7 on both sides to get:

x > 2

I hope my explanation wasn't too confusing for you

Answer:

347 + 645 = 992

Step-by-step explanation:

 347

+645

 922

Answer:

x=7

Step-by-step explanation:

-6x-14=-8x

-6x+8x=14

2x=14

x=7

yes it. is right man ansls gqbevih wo

Answer:

i know i had this question let me find it

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

the formula for a parallelogram is A=b*h

Answer:

First one

Step-by-step explanation:

Supplementary angles basically means which angles added together equals 180 degrees, 180 degrees is also a straight line.

So the answer would be the first one because both the angles added together is 180.

Answer:

1.298

Step-by-step explanation:

After the decimal the numbers go

tenths Hundredths and then thousands

Then take the number that's after thousands and raise the thousands number up is the numbers after is above 5 keep it the same if its 4 or under.

Answer:

Domain: [tex]-5\leq x\leq 4[/tex]

Range: [tex]-5\leq y\leq 5\\[/tex]

Function: yes

Step-by-step explanation:

Domain is all possible x values. In this function, domain would be: [tex]-5\leq x\leq 4[/tex]

Range is all possible y values. In this function, range would be: [tex]-5\leq y\leq 5[/tex]

This is a function because it passes the vertical line test.

Answer:4.32...i think

Step-by-step explanation:

Answer:

12.32-8= 4.32 OR 12 x 32 - 8 = 376

Step-by-step explanation:

 12.32

-  8.00

= 4.32

OR

  32

x 12

= 376

Just depends if the dot was a multiplication dot or decimal.

Hope it helps!!

Answer:

The volume of the cylinder is decreasing at a rate of 83629.2 m³/h.        

Step-by-step explanation:

The volume of a is given by:

[tex] V = \pi r^{2}h [/tex]

Where:

r: is the radius = 55 m

h: is the height = 88 m

We can express the rate of change of the volume of the cylinder as follows:

[tex] \frac{dV}{dt} = \pi[h\frac{2rdr}{dt} + r^{2}\frac{dh}{dt}] [/tex]

If dr/dt = 11 m/h and dh/dt = -44m/h, we have:

[tex] \frac{dV}{dt} = \pi[88 m*2*55 m*11 m/h + (55 m)^{2}*(-44 m/h)] = -83629.2 m^{3}/h [/tex]

Therefore, the volume of the cylinder is decreasing at a rate of 83629.2 m³/h.       

I hope it helps you!

Answer:

the answer is a

Step-by-step explanation:

they are just flipped thats all

9514 1404 393

Answer:

  a) correct

  b) needs parentheses: -1, (1±i√2)/3

Step-by-step explanation:

a) You can factor by grouping:

  (x³ -2x²) -(5x -10) = x²(x -2) -5(x -2) = (x² -5)(x -2)

Roots are ±√5, 2.

__

b) The sum of odd-degree coefficients is equal to the sum of even-degree coefficients (3-1 = 1+1), so one root is x=-1. Factoring out that leaves the quadratic factor ...

  3x³ +x² -x +1 = (x +1)(3x² -2x +1)

The quadratic formula can be used on the quadratic factor to find its roots:

  x = (-(-2) ±√((-2)²-4(3)(1)))/(2(3)) = (2 ±√-8)/6 = (1 ±√-2)/3

Roots are -1, (1 ±i√2)/3.

Answer:

Step-by-step explanation:

1). a(x) = -4x + 7  If x > 1

   a(8) = -4(8) + 7

          = -32 + 7

          = -25

2). a(x) = 2x - x² If -6 < x ≤ 1

    a(1) = 2(1) - 1²

           = 2 - 1

           = 1

3). a(x) = |x - 8| If x ≤ -6

   a(-7) = |- 7 - 8|

           = |-15|

           = 15

4). a(x) =  2x - x² If -6 < x ≤ 1

   a(-3) = 2(-3) - (-3)²

           = -6 - 9

           = -15

5). a(x) =  2x - x² If -6 < x ≤ 1

    [tex]a(-\frac{1}{2})=2(-\frac{1}{2})-(-\frac{1}{2})^{2}[/tex]

               = - 1 - [tex]\frac{1}{4}[/tex]

               = [tex]-\frac{5}{4}[/tex]

6). a(x) = -4x + 7 If x > 1

    [tex]a(\frac{9}{4})=-4(\frac{9}{4})+7[/tex]

            = -9 + 7

            = -2

Answer:(2 * 3, 1 * 3)

Step-by-step explanation:

Answer:

A) Maximum for dosage is 0.11

B) maximum blood pressure = 1.625

Step-by-step explanation:

We are given the function;

B(x) = 395x² - 2370x³

To find maximum, we will find the derivative of the function and equate to zero.

B'(x) = 790x - 7110x²

Equating to zero gives;

790x - 7110x² = 0

790x = 7110x²

Dividing both sides by x gives;

790 = 7110x

x = 790/7110

x = 0.11

This falls in between the range of 0 <= x <= 0.16 given to us.

Therefore x = 0.11 is a maximum

Plugging this into B(x) = 395x² - 2370x³ gives;

B(0.11) = 395(0.11)² - 2370(0.11)³

B(0.11) = 1.625

Thus;

Maximum dosage is 0.11

maximum blood pressure = 1.625

Answer: The height of the building = 14.5 feet.

Step-by-step explanation:

Given: Length of ladder = 15 feet

Distance of base of ladder from building = 4 feet

Since building is standing vertical on ground making right angle.

So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]

According to the Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

⇒ (15)² =  Perpendicular² +  (4)²

⇒ 225 = Perpendicular² +16

⇒ Perpendicular² = 225 -16

⇒ Perpendicular² = 209

⇒  Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet

Hence, the height of the building = 14.5 feet.

Given:

Selling price of child ticket = $5.40

Selling price of adult ticket = $9.40

Total tickets = 168

Total sales = $1199.20

To find:

The number of adult tickets sold.

Solution:

Let x be the number of child tickets and y be the number of adult tickets.

Total tickets : [tex]x+y=168[/tex]          ...(i)

Total sales : [tex]5.40x+9.40y=1199.20[/tex]      ...(ii)

From equation (i), we get

[tex]x=168-y[/tex]

Put this value in (ii).

[tex]5.40(168-y)+9.40y=1199.20[/tex]

[tex]907.2-5.40y+9.40y=1199.20[/tex]

[tex]4y=1199.20-907.2[/tex]

[tex]4y=292[/tex]

Divide both sides by 4.

[tex]y=\dfrac{292}{4}[/tex]

[tex]y=73[/tex]

Therefore, 73 adult tickets were sold that day.

9514 1404 393

Answer:

Step-by-step explanation:

If we let 'a' represent the price of an adult ticket, and 's' represent the price of a student ticket, the two sales can be described by ...

  5a +4s = 85

  5a +2s = 55

Subtracting the second equation from the first gives ...

  (5a +4s) -(5a +2s) = (85) -(55)

  2s = 30 . . . . simplify

  s = 15 . . . . divide by 2

Substituting this into the second equation, we have ...

  5a +2(15) = 55

  5a = 25 . . . . subtract 30

  a = 5 . . . . . divide by 5

Each adult ticket sold for $5; each student ticket sold for $15.

Answer:

574.4 flaps

Step-by-step explanation:

77/9 =  8.5555555 flaps per second

60 seconds x 1.119 minutes = 67.14 seconds

8.5555555 x 67.14 = 574.42 flaps

Given :

A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to  half its original value in 4 years. If you bought a car 8 years ago and it is now worth $5,000.

To Find :

How  much did you pay for the car originally.

Solution :

Let, original price is x.

It is given that price gets half after 4 years.

So, price after 8 year is, P = x/4 .

x/4 = 5,000

x = $20,000

Therefore, price of new of car is $20,000.

Hence, this is the required solution.

Answer:

48 and 72 degrees.

Step-by-step explanation:

The sum of the other 2 angles = 180-60 = 120 degrees.

So they are  2 / (2+3) * 120 = 2/5 * 120 = 48 and 3/5 * 120 = 72 degrees.

Answer:

210m

Step-by-step explanation:

60+60+45+45

120+90

210m

Answer:

Step-by-step explanation:

Let the probability of getting employed after graduated within a year be P(A)

and the probability of buying a car within a year be P(B)

Given that:

The probability of getting employed after graduated within a year = 90% = 0.9

Then; Let that be P(A)

The probability of getting employed and buying a car within a year = 72% = 0.72.

Then; Let that be P(A∩ B).

The probability that a college student will get both events is P(B/A)

[tex]P(B/A) = \dfrac{P(A \cap B) }{P(A)}[/tex]

[tex]P(B/A) = \dfrac{0.72}{0.90}[/tex]

P(B/A) = 0.80