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3 years ago

I'll give brainliest to the most reliable and well-explained answer.

Mathematics

2 answers:

kogti [31]3 years ago

5 0

Answer:

5.5 ft^2.

Step-by-step explanation:

The length of each side of the square piece of land = 24 / 4 = 6 feet.

Total area of the land = 6^2 = 36 ft^2.

There are 2 triangular areas each side of the path.

Area of the top triangle = 1/2 * 6^2 = 18 ft^2.

Area of the bottom one = 1/2 * 5^2 = 12.5 ft^2.

So the area of the path = 36 - 18 - 12.5

= 36 - 30.5

= 5.5 ft^2.

lapo4ka [179]3 years ago

4 0

Answer:

Option B. 5.5 ft²

Step-by-step explanation:

Perimeter of the square piece of land = length of fence required

4(length of a side of the square) = 24 ft

Length of a side = 6 ft

Area of the square land = (Side)²

= 6²

= 36 square ft

Area of the side walk = Area of the square - [Area of two triangles separated by the sidewalk]

= 36 - [1/2 (Area Of The Sqaure) + 1/2 (Base) (Height) ]

= 36 - [36/2 + 1/2 (6 - 1) (6 - 1)]

= 36 - (18 + 12.5)

= 36 - 30.5

= 5.5 ft²

Therefore, Option B. is the correct answer.

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nadezda [96]

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3 years ago

What is 1323/12 in simplified form

Mice21 [21]

Answer:

441/4

Step-by-step explanation:

Find the GCD of numerator and denominator

GCD of 1323 and 12 is 3

Divide both the numerator and denominator by the GCD

1323 ÷ 3

12 ÷ 3

Reduced fraction:

441/4

________

Hope this helps!

-Lexi

4 0

3 years ago

Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min

Juli2301 [7.4K]

Answer:

$-6$ meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes) Altitude (meters)

6 -20.4

9 -27.6

12 -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

$m=\frac{y_2-y_1}{x_2-x_1}$ , where,

$y_2-y_1$ represents difference of two y-coordinates,

$x_2-x_1$ represents difference of two corresponding x-coordinates of y-coordinates.

Let $(6,-20.4)$ be $(x_1,y_1)$ and $(9,-27.6)$ be $(x_2,y_2)$ .

$m=\frac{-27.6-(-20.4)}{9-6}$

$m=\frac{-27.6+20.4}{3}$

$m=\frac{-7.2}{3}$

$m=-2.4$

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

$y=mx+b$ , where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting $m=-2.4$ and coordinates of point $(6,-20.4)$ , we will get:

$-20.4=-2.4(6)+b$

$-20.4=-14.4+b$

$-20.4+14.4=-14.4+14.4+b$

$-6=b$

Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is $-6$ meters.

6 0

3 years ago

Read 2 more answers

Need help same math paper but the back now I hope your able to read it cleary I need help with hw

vovikov84 [41]

Answers:

4) r = √[V/(πh)]; d ≈ 5 in

5) 1.25x + 2.50y = 25.00 ; 11 combinations

Step-by-step explanation:

4) (a) Formula for radius

V = πr²h Divide each side by πh

V/(πh) = r² Take the square root of each side.

r = √[V/(πh)]

(b) Diameter of tuna can

(i) Data:

V = 66 in³

h = 3.3 in

(ii) Calculations

r = √[V/(πh)]

= √[66/(π × 3.3)]

= √(20/π)

= 2√(5/π)

d = 2r

= 4√(5/π)

≈ 5 in

5) Hot dogs and hamburgers

(a) The equation

Let x = the number of hot dogs

and y = the number of hamburgers

Then

1.25x + 250y + 7 × 0.50 = 28.50

1.25x + 250y + 3.50 = 28.50 Subtract 3.50 from each side

1.25x + 2.50y = 25.00

(b) Plot the graph

Let x = 0. Then

2.50y = 25.00 Divide each side by 2.50

y = 10

Plot a point at (0, 10).

Let y = 0. Then,

1.25x = 25.00 Divide each side by 1.25

x = 20

Plot a point at (20, 0).

Draw a straight line between the two points.

Your graph should look like the one below.

(c) Hot dog/hamburger combinations

The possible hot dog/hamburger (x/y) combinations are:

0x + 10y, 2x + 9y, 4x + 8y, 6x + 7y, 8x + 6y, 10x + 5y, 12x + 4y, 14x + 3y, 16x + 2y, 18x + 1y, 20x + 0y

Thus, there are 11 different combinations that Zeke and his friends can buy for $28.50.

It works like this, because one hamburger costs $2,50 and a hamburger half as much.

You can replace one hamburger with two hot dogs (or vice versa) and still spend the same amount of money,.

3 0

4 years ago

There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick a marble out of the bag. What is the probability

Vitek1552 [10]

I think it would be 7/10.

4 0

3 years ago