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3 years ago

Shelia mows 1/6 acre in 1/4 hour. How many acres does she mow in per hour?

Mathematics

1 answer:

lbvjy [14]3 years ago

5 0

Answer:

2/3 = .66

Step-by-step explanation:

1/6 * 4 = 4/6 = 2/3

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One of the legs of a right triangle measures 3 cm and the other leg measures 14 cm. Find the measure of the hypotenuse. If neces

Serggg [28]

Answer:

14.3 cm

Step-by-step explanation:

<u>Use Pythagorean:</u>

a² + b² = c²

<u>Substitute values of a and b and solve for c:</u>

3² + 14² = c²
205 = c²
√205 = c
c = 14.3 cm

3 0

3 years ago

Read 2 more answers

What is 6.877 rounded to the nearest whole number

stiks02 [169]

It is 7, because you always have to round up if the next decimal is greater than or equal to 5 (depending on where you live).

6 0

3 years ago

Read 2 more answers

Una comercializadora de café necesita construir una bodega con forma de cubo. La capacidad de la bodega debe ser de 216 metros c

Alexus [3.1K]

Answer:

La arista de la bodega debe medir 6 metros.

Step-by-step explanation:

Podemos encontrar la arista de la bodega sabiendo su volumen:

$V = a^{3}$

En donde:

V: es el volumen de un cubo = 216 m³

a: es la arista del cubo =?

La arista del cubo es:

$a = \sqrt[3]{V} = \sqrt[3]{216 m^{3}} = 6 m$

Por lo tanto, la arista de la bodega debe medir 6 metros.

Espero que te sea de utilidad!

8 0

3 years ago

Paul can install a 300 hundred square foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long wou

Vadim26 [7]

ANSWER

Paul and Matt will take
$9.9 \: \: hours$
to install the floor working together.

EXPLANATION

First, calculate Paul's rate, which is

$= \frac{1}{18}$

Next, calculate Matt's rate, which is,
$= \frac{1}{22}$

Let us assume that, Paul and Matt took
$x \: hours$
to do the work together.

Then, the rate of working together is,

$= \frac{1}{x}$

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

$\frac{1}{18} + \frac{1}{22} = \frac{1}{x}$

Simplify the left hand side

$\frac{11 + 9}{198} = \frac{1}{x}$

$\frac{20}{198} = \frac{1}{x}$

We reciprocate both sides to get (You could have also done cross multiplication).

$\frac{198}{20} = \frac{x}{1}$

$x = 9.9 \: hours$

7 0

3 years ago

In the coordinate plane, draw quadrilateral ABCD with A(–5, 0), B(2, –6), C(8, 1), and D(1, 7), then demonstrate that ABCD is a

Len [333]

Answer:

ABCD is a rectangle

Step-by-step explanation:

∵ A = (-5 , 0) , B = (2 , -6) , C = (8 , 1) , D = (1 , 7)

∵ The x-coordinate of the mid-point of AC = (-5 + 8)/2 =3/2

∵ The y-coordinate of the mid-point of AC = (0 + 1)/2 = 1/2

∴ The mid-point of AC = (3/2 , 1/2)

∵ The x-coordinate of the mid-point of BD = (2 + 1)/2 =3/2

∵ The y-coordinate of the mid-point of BD = (-6 + 7)/2 = 1/2

∴ The mid-point of BD = (3/2 , 1/2)

∴ The mid-point of AC = The mid-point of BD ⇒ (1)

∵ AC = √[(8 - -5)²+(1 - 0)² = √170

∵ BD = √[(1 - 2)²+(7 - -6)² = √170

∴ AC = BD ⇒ (2)

From (1) and (2)

AC and BD equal each other and bisects each other

∴ ABCD is a rectangle

7 0

3 years ago