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Answer:

4 meters

Step-by-step explanation:

Assuming that the garden is a rectangular garden, its area would be length ×width.

Let the length be L meters and the width be W meters.

Area= L ×W

48= LW -----(1)

Given that the length is 3 times the width,

L= 3W -----(2)

Substitute (2) into (1):

48= 3W(W)

3W²= 48

Divide both sides by 3:

W²= 48 ÷3

W²= 16

Square root both sides:

[tex]W = \sqrt{16} [/tex]

W= 4 (reject negative as width cannot be a negative number)

Thus, the width of the garden is 4 meters.

Answer:

1.6 ft.

Step-by-step explanation:

Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:

Volume = πr²h/3

Therefore substituting gives:

Volume = π(1)²(2)/3 = 2π/3 ft³

Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.

Volume of sphere = 4πr³/3

4πr³/3 = 2π/3

2r³ = 1

r³ = 1/2 = 0.5

r = ∛0.5 = 0.8 ft.

Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.

Answer:

244 cm³

Step-by-step explanation:

Step 1: Given data

Height of the prism with a pentagonal base (h): 8 cm

Area of the pentagonal base (A): 30.5 cm²

Step 2: Calculate the volume of the prism with a pentagonal base

We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.

V = A × h

V = 30.5 cm² × 8 cm = 244 cm³

Answer:

15d + 74 > 200

d > 8.4 days

Step-by-step explanation:

Total cans needed = over 200

Number of cans they have = 74

Number of cans needed per day = 15

Number of days = d

The inequality is

74 + 15d > 200

Also written as

15d + 74 > 200

15d > 200 - 74

15d > 126

d > 126/15

d > 8.4 days

Answer:

15d + 74 > 200

d > 8.4 days

Step-by-step explanation:

Total cans needed = over 200

Number of cans they have = 74

Number of cans needed per day = 15

Number of days = d

The inequality is

74 + 15d > 200

Also written as

15d + 74 > 200

15d > 200 - 74

15d > 126

d > 126/15

d > 8.4 days

Answer:

a) 0.8

b) 0.3

c) 0.9

d) 0.95

Step-by-step explanation:

A probability always adds up to 1. It is between the scale of 0 (never likely) to 1 (very likely).

So:

1 - 0.2 = 0.8

1 - 0.7 = 0.3

1 - 0.1 = 0.9

1 - 0.05 = 0.95

Hope this helped!

Just need to put zero instead of y and solve the equation for find the value of x :

0 = 2 Cot ( x/4 )

Cot ( x/4 ) = 0

Cot ( x/4 ) = Cot ( π / 2 )

x / 4 = π / 2

x = 4 × π / 2

x = 2π

Thus the correct option is C .

The height of the altitude h is 18 cm.

Altitude is the vertical height of an object above some chosen level.

To calculate the length of the altitude h, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option  is D. 18 cm.

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9514 1404 393

Answer:

  ac

Step-by-step explanation:

The length of the base is the x-distance between E and H, so is ...

  base = a - 0 = a

The height is the y-distance between E and F, so is ...

  height = c - 0 = c

The area of the parallelogram is the product of base and height.

  A = base×height

  A = a×c

The area of the parallelogram is ac.

Answer:

(a) V = 51200 cubic cm

(b) V' = 38912 cubic cm

(c) V'' = V - V' = 12288 cubic cm

Step-by-step explanation:

side of the square base, s = 32 cm

height, h = 50 cm

height of cake mixture, h' = 38 cm

(a) The capacity of the tin is the volume.  

Capacity of tin, V =  s x s x h = 32 x 32 x 50 = 51200 cubic cm

(b) The volume of the cake mixture is

V' =  s x s x h'

V' = 32 x 32 x 38 = 38912 cubic cm

(c) Volume of unoccupied space is

V'' = V - V' = 51200 - 38912 = 12288 cubic cm

Answer:

Let's make both of them have a common denominator since we can't just identify by the looks of it.

2 x 4 =  8

          ___

5 x 4 = 20

11/20 > 8/20

11/20 is bigger.

Answer:

Step-by-step explanation:

cos theta is 5/13

so, adjacent=5 ,hypotenuse=13 and opposite=?

hypotenuse^2=adjacent^2+opposite^2

13^2=5^2+opposite^2

169-25=opposite^2

[tex]\sqrt{144}[/tex]=opposite

12=opposite

sin theta=opposite/hypotenuse

=12/13

Answer:

because it has the words "less than", the "-2" is after the multiplication which is "2n" so the answer is...

D.) 2n-2

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52,  7 times 9=63, 52+63=115.  Hope this helps!

Answer:

x^2+(4-1)x-4=0

x^2+4x-x-4=0

x(x+4)-1(x+4)=0

(x-1)(x+4)=0

either (x-1)=0                                   Or,(x+4)=0

x-1=0

x=0+1

x=1

x+4=0

x=0-4

x=-4

therefore x=-4,1

Step-by-step explanation:

The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).

In this case, a = 1, b = 3, and c = -4, so we have:

x = (-3 ± √(3² - 4(1)(-4))) / 2(1)

x = (-3 ± √(25)) / 2

x = (-3 ± 5) / 2

x₁ = (-3 + 5) / 2 = 1

x₂ = (-3 - 5) / 2 = -4

Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

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Answer:

60000 points per game

Step-by-step explanation:

Basit played an online pin ball game. The first time he got a score of 25000 points than he scored 125000 points and the third time he scored 30,000 . What was his average score per game​.

Solution:

Average is used to represent a list of numbers by a single number. This is usually done by summing each of the numbers in the list and then dividing this result by the amount of numbers in the list.

Since Basit, had 3 scores which were 25000 points, 125000 points and 30000 points. To find the average, we sum all the scores and divide the result by 3 (that is because we have 3 scores). Hence:

Average score per game = (25000 + 125000 + 30000) / 3 = 60000 points per game

Answer:

hope this helps <33 (55.460)

Step-by-step explanation:

 2.35

x 23.6

---------------------

1      23

1 . 4 1 0

1    1

7 . 0 5 0

1

47 . 0 0 0

---------------------

1

5 5 . 4 6 0

Answer:

0.84 and 84

Step-by-step explanation:

1.05 (x -0.2x) = 1.05 (1-0.2)x = 1.05 * 0.8 x= 0.84x

84% of the original price of item

Answers:

=================================================

Explanation:

Think of x - 0.2x as 1x-0.2x. The numbers out front, the 1 and -0.2, combine to 0.8

The 0.8 converts to 80%, meaning that if there's a 20% off sale, then you still have to pay the remaining 80% of the original price.

The 1.05 indicates that we started with 100%, and then add on 5% sales tax, so 100% + 5% = 1 + 0.05 = 1.05

---------------

Simplifying the expression given to us leads to

1.05(x - 0.2x)

1.05(1x - 0.2x)

1.05(0.8x)

(1.05*0.8)x

0.84x

This shows that the final price, after tax, is 84% of the original price.

Answer:

I only know number 11 sorry :(

11. (Image attached)

Step-by-step explanation:

First, I would find the y intercept, which is 4. Next I found the slope of -3 by finding the rise of -3 (3 to left), then the run (1 up).

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Have a good day :)

Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.

Let p = packet of peanuts and h = hotdogs

Establishing the system of linear equations to find the cost of one each,

3p + 4h = 14.50.............(i)

p + 6h = 13

p = 13 - 6h........(ii)

Put eq (ii) in the eq(i)

3(13-6h) + 4h = 14.50

39 - 18h + 4h = 14.50

-14h = -24.5

h = 1.75

Put h = 1.75 in eq(ii)

p = 13 - 6(1.75)

p = 2.5

Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75

Therefore, 6 package of peanuts and 10 hotdogs will costs =

6(2.5) + 10(1.75) = 15 + 17.5 = $32.5

Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.

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Answer:

yeah its totally true, it happened from me to

answer

the answer is true

Answer:

$5 for a dog treat

$3 for a cat treat

Step-by-step explanation:

week 1: 6d + 4c = 42

week 2: 2d + 7c = 31

*used calculator & guessed what each treat costs*

WEEK 1:

6(5) + 4(3) = 42

30 + 12 = 42

42 = 42

WEEK 2:

2(5) + 7(3) = 31

10 + 21 = 31

31 = 31

Given:

A vector from (-3.7,2) to (-4, -5).

To find:

An ordered pair that represents the vector

Solution:

If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)[/tex]

A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]

Therefore, the correct option is b, i.e., (-0.3,-7).

Answer:       1.185921/3

Step-by-step explanation:

Answer:

1/3 x 1/3 x 1/3 x 1/3 = 1/81

Step-by-step explanation:

You are multiply 1/3 by itself 4 times since it is to the power of 4.

Answer:

free

Step-by-step explanation:

points .-.

Answer:

                          Have a cat         Do not have cat

Have a dog                 7                            5

Do not have a dog      6                            0

Step-by-step explanation:

                                           Have a cat   Do not have a cat

Have a dog                              7                 5

Do not have a dog                     6               0

The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.

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Answer:

The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Step-by-step explanation:

Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:

Given = 6 sides = 2/6

Coin = 2 sides = 1/2

2/6 x 1/2 = X

0.333 x 0.5 = X

0.1666 = X

0.1666 x 100 = 16.66

Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Answer:

2(5+3)

Step-by-step explanation:

Answer:

2(5$+3$)

Step-by-step explanation:

hope this helps

Answer:

Choice B

Step-by-step explanation:

4n (product of 4 and n) + 13 (13 more)

Answer:

B

Step-by-step explanation: