5) Round $2.879 to the nearest cent

6) Round 56.8567863 to the nearest tenth (one decimal place)

Answer:

16

Step-by-step explanation:

The dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.

Measurement is a branch of mathematics used in determining the area and volume of an object.

From the question,

Let the length of the two rectangular corrals be x

Let the length of the three fence section be y

Note that the area of the rectangle A = length * width

A = xy .....1

Also, since the rectangular corrals are to be made from 100 yd, then;

3x + 2y = 100 ..... 2

Divide through by 2

3x/2 + 2y/2 = 100/2

1.5x + y = 50

y = 50 - 1.5x .... 3

Substitute equation 3 into 1 to have:

A = x(50-1.5x)

A = 50x - 1.5x²

Since the total area is to b maximized, this means that:

dA/dx = 0

dA/dx = 50 - 3.0x

0 = 50 - 3x

3x = 50

x = 50/3 yards

Substitute the value of x into equation 3:

y = 50 - 1.5x

y = 50 - 1.5(50/3)

y = 50 - 25

y = 25yards

Hence the dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.

Learn more here: https://brainly.com/question/10369514

Answer:

X= 12√3

y=12

Step-by-step explanation:

To find x

Cos30°=x/24

√3/2=x/24

x=12√3

To find y

Sin30°=y/24

1/2=y/24

y=12

hope it helps

have a great day!!

Answer:

the mean is 83.6

Step-by-step explanation:

Answer:

The mean is 83.6 cm

Step-by-step explanation:

81 + 83 +84 + 85 + 85 = 416

416 divided by 5 = 83.6

Answer:

the answer is 50

Step-by-step explanation:

Answer:

$12 off w discount

$48 selling price

Step-by-step explanation:

Answer:

a. 20%=$12.00   b. price was $48.00

Step-by-step explanation:

60*20%=12

60-12=48

Answer:

a     44°

Step-by-step explanation:

Think of the right triangle formed by the beam, the ground, and the wall.

The beam is the hypotenuse. For the angle between the ground and the beam, call it angle A, the 13.9 ft side is the opposite leg. The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

sin A = 13.9/20

sin A = 0.695

A = sin^-1 0.695

A = 44°

Answer:

9, 15

Step-by-step explanation:

x = smaller number

y = larger number

system of equations:

x + y = 24

3x = 2y - 3

substitution method:

x = 24 - y

3(24 - y) = 2y - 3

72 - 3y = 2y - 3

72 = 5y - 3

75 = 5y

y = 15

x + 15 = 24

x = 9

Answer:

Step-by-step explanation:

0.1     ;-;

Answer:

B

Step-by-step explanation:

x-4=18

   +4    +4

x=22

Answer:

22

Step-by-step explanation:

X-4 =18

So now we have to find a number on the line which 4 is deducted from you can get 18 as the answer

So 22-4 = 18

Answer:

15x9 is 130 but, what u mean by divided by 2 fraction?

Step-by-step explanation:

135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2

Answer:

Harry's father is 8 inches taller than his mother.

Step-by-step explanation:

1 foot=12 inches

12x6=72

72-64=8

Can I please have Brainliest?

Answer:

A bear weighing 4,521 grams would weight 4.521 kilograms

Answer:

ZB = 54

Step-by-step explanation:

Complementary angles add to 90 degrees

ZA + ZB = 90

x-15 + x+3 = 90

Combine like terms

2x-12 =90

Add 12 to each side

2x-12+12 = 90+12

2x = 102

Divide by 2

2x/2 = 102/2

x = 51

We want to find the measure of ZB

ZB = x+3

ZB = 51+3

ZB = 54

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

[tex]C = Children; S = Students; A = Adults[/tex]

For the capacity, we have:

[tex]C + S + A = 329[/tex]

For the tickets sold, we have:

[tex]5C + 7S + 12A = 2388[/tex]

Half as many as adults are children implies that:

[tex]A = \frac{C}{2}[/tex]

Required

Solve for A, C and S

The equations to solve are:

[tex]C + S + A = 329[/tex] -- (1)

[tex]5C + 7S + 12A = 2388[/tex] -- (2)

[tex]A = \frac{C}{2}[/tex] -- (3)

Make C the subject in (3)

[tex]C = 2A[/tex]

Substitute [tex]C = 2A[/tex] in (1) and (2)

[tex]C + S + A = 329[/tex] -- (1)

[tex]2A + S + A = 329[/tex]

[tex]3A + S = 329[/tex]

Make S the subject

[tex]S = 329 - 3A[/tex]

[tex]5C + 7S + 12A = 2388[/tex] -- (2)

[tex]5*2A + 7S + 12A = 2388[/tex]

[tex]10A + 7S + 12A = 2388[/tex]

[tex]7S + 22A = 2388[/tex]

Substitute [tex]S = 329 - 3A[/tex]

[tex]7(329 - 3A) + 22A = 2388[/tex]

[tex]2303 - 21A + 22A = 2388[/tex]

[tex]2303 +A = 2388[/tex]

Solve for A

[tex]A = 2388 - 2303[/tex]

[tex]A = 85[/tex]

Recall that: [tex]C = 2A[/tex]

[tex]C = 2 * 85[/tex]

[tex]C = 170[/tex]

Recall that: [tex]S = 329 - 3A[/tex]

[tex]S = 329 - 3 * 85[/tex]

[tex]S = 329 - 255[/tex]

[tex]S = 74[/tex]

Hence, the result is:

[tex]C = 170[/tex]

[tex]S = 74[/tex]

[tex]A = 85[/tex]

Answer:

Down Below

Step-by-step explanation:

The answer is actually

162 children

86 students

81 adults

162x5=810

86x7=602

81x12=972

I found the original problem and the total ticket sale was $2384.

So I wrote the answers for the original problem just in case!

Ty for your time!

Answer: tan^-1(5/8) = 32 degrees from horizontal line

Step-by-step explanation: tan (Alfa) = 2000 / 3200 because

Angle from horizontal line. 2000/3200 = 20/32 = 5/8

Answer:

surface area = 2(length× breadth) +2(length ×height) +2(height×breadth

Answer:

I was searching for the same answer but no one has it smh

Step-by-step explanation:

Answer:

(x+1)(x+3)

Step-by-step explanation:

Let's factor x^2+4x+3

x^2+4x+3

The middle number is 4 and the last number is 3.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 4

Multiply together to get 3

Can you think of the two numbers?

Try 1 and 3:

1+3 = 4

1*3 = 3

Fill in the blanks in

(x+_)(x+_)

with 1 and 3 to get...

(x+1)(x+3)

Answer:

499-424.15=74.85

499:100=4.99

74.85:4.99=15 is the percent of the discount

100-15=85 is the percent of the original price that you pay  

Step-by-step explanation:

Answer: 14/20=7/10 cup

Step-by-step explanation:

2/4 is equal to 10/20

1/5 is equal to 4/20

10/20+4/20= 14/20

Answer:

the formula to find slope is m=∆y/∆y

this means m=y2-y1/x2-x1

using this formula

m=5-3/6-(-7)

m=2/13

Answer:

The slope is 0.25

Step-by-step explanation:

Answer:

2x - 6 = 20

2x - 6 + 6 = 20 + 6

2x = 26

x = 13

The number should be 13

Step-by-step explanation:

Answer:

I cant see anything on that picture. Wish I could help bruv. I wish I could help. It's a shame innit.

Answer:

64.2 in

Step-by-step explanation:

From deltamath

Yeah

Answer:

Step-by-step explanation:

7x + 9 = 9x - 19. [Corresponding Angles]

=> 9x - 19 = 7x + 9

=> 9x - 7x = 19 + 9

=> 2x = 28

[tex] = > x = \frac{28}{2} [/tex]

=> x = 14 (Ans)

Answer:

B

Step-by-step explanation:

Hope this helps!

Answer:

the answer is B

Step-by-step explanation:

the answer is B

Answer:

b. you sold 17

c. your friend sold 25

Step-by-step explanation:

you=y your friend=x

y=x-8

42=x +y

42=x+(x-8)

42=x+x-8

42=2x-8

50=2x

25=x

Use x to solve for y...

y=25-8

y=17

9514 1404 393

Answer:

  12 or 103

Step-by-step explanation:

The given angle is opposite the shorter side, so there will be two solutions.

In order to find f, we need to know angle F. We can find that by first finding angle E.

  E = arcsin(e/d·sin(D)) = arcsin(71/62·sin(36°)) = 42.307° or 137.693°

  F = 180° -D -E = 180° -36° -{42.307°, 137.693°} = {101.693°, 6.307°}

Then the measure of f is ...

  f = sin(F)/sin(D)×d = 62/sin(36°)×sin({101.693°, 6.307°})

  f = {103.29, 11.59}

Side f is either 12 or 103.

Answer:

Step-by-step explanation:

Find ∠E

Find m∠F

Find f