All categories

2 years ago

A rectangle has an area of 20 square centimeters.

Mathematics

1 answer:

prisoha [69]2 years ago

8 0

Answer:

All but the first answer choice could be the length and width of a rectangle.

Step-by-step explanation:

3 cm and 8 cm produce 24 cm^2 when multiplied together. Reject.

1 cm and 20 cm, when multiplied together, result in 20 cm^2. Select.

2 cm and 10 cm => 20 cm^2 Select

4 cm and 5 cm => 20 cm^2. Select

You might be interested in

6. The diagram on the right shows the cross-section of a cylindrical pipe with water lying in the bottom. a) If the maximum dept

riadik2000 [5.3K]

Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

Shaded area 88.8/360*area of circle - ½*7*788.8°

= 88.8/360*π*7² - 24.5*sin 88.8°

13.5 cm²

(using area of ∆ = ½.a.b.sin C for the triangle)

Volume of water = cross-sectional area * length

13.5 * 30 cm³

404 cm³

6 0

1 year ago

I read 1/3 of a book in an hour.<br> How much more of the book will I read in 2 1/5 hours

Verizon [17]

Answer:

Step-by-step explanation:

To find the number of pages of the book in the given hour:

To find the number of pages in 2 1/5 hours, multiply the number of pages read in 1 hour by 2 1/5 hours.

$\sf \text{ Number of pages read in 2 $\dfrac{1}{5}$ hours = $\dfrac{1}{3}*2\dfrac{1}{5}$ }$

$\sf = \dfrac{1}{3}*\dfrac{11}{5}\\\\=\dfrac{11}{15}$

$\sf \text{Number of pages read more in 2 $\dfrac{1}{5}$ hours = $\dfrac{11}{15}-\dfrac{1}{3}$}$

$\sf =\dfrac{11}{15}-\dfrac{1*5}{3*5}\\\\=\dfrac{11}{15}-\dfrac{5}{15}\\\\=\dfrac{6}{15}$

7 0

1 year ago

Read 2 more answers

Kiara has $450 in the bank. After

Novay_Z [31]

$450 - $398.72 = $51.28

6 0

2 years ago

NEEED HELPPP !!!!!!!!!!

serious [3.7K]

Answer:

X + 7 + 2x + 19 = 35

Add like terms

3x + 26 = 35

-26 -26

3x = 9

/3 /3

X = 3

3 0

2 years ago

The Patronete Winery's tastiest wine must have a 12% alcohol content. How many gallons of wine with a 9% alcohol content must be

erik [133]

Answer: 3000 gallon

Step-by-step explanation:

Here, The total quantity of 15% alcohol content = 3000 gallon

And, in which quantity of alcohol = 15% of 3000 gallon = 450 gallon.

Let the total quantity of 9% alcohol content = x

In which quantity of alcohol = 9% of x gallon= 9x/100 gallon

Now, according to the question, The wine with a 9% alcohol content will be mixed with 3,000 gallons of wine with a 15% alcohol content in order to achieve the desired 12% alcohol content.

Thus, the total quantity of mixture of 12% alcohol content = The total quantity of 15% alcohol content + total quantity of 9% alcohol content

= 3000 + x

In which quantity of alcohol = 12 % of ( 3000+x) = (360 + 12x/100) gallon ---(1)

But, the quantity of alcohol in 12 % of alcohol content = quantity of alcohol in 15% of alcohol content + quantity of alcohol in 9% of alcohol content

The quantity of alcohol in 12 % of alcohol content = (450 + 9x/100) gallon ---(2)

On equating equation (1) and (2)

We get, 360 + 12x/100 = 450 + 9x/100

⇒ 3x/100 = 90

⇒ x = 3000

Therefore, The total quantity of the mixture of 9% alcohol content = 3000

6 0

3 years ago