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2 years ago

Find the volume of a 1 km3 body of water in m3, and select the correct units.

Mathematics

1 answer:

Gala2k [10]2 years ago

7 0

Answer:

1,000,000,000 $m^3$

Step-by-step explanation:

1 kilometer is equal to 1000 meters, and 1 $km^3$ is 1 km * 1 km * 1 km

Therefore,

1000m * 1000m * 1000m = 1,000,000,000 $m^3$

Hope this answer helped! :)

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A group of 727272 people travel to the beach for a clean-up day. Some of the people bring their own supplies (such as gloves, wa

Leno4ka [110]

Answer:

$b+p=72$

$p=72-b$

Step-by-step explanation:

We can represent this situation with an equation that shows that when b and p are added, then the total number of people will be 72

The number of people who bring supplies = b

The number of people, to whom supplies are provided = p

We get ;

$b+p=72$

$p=72-b$

7 0

3 years ago

Read 2 more answers

Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math

NISA [10]

Answer: $A=\frac{14}{9}\cdot \sqrt{2}\ unit^2$

Step-by-step explanation:

Given

Two curves are given

$y=10 x^2$

and $y=x^2+2$

the two curves intersect at

$10x^2=x^2+2$

$x=\pm \frac{\sqrt{2}}{3}$

to get the we need to integrate the curves over x axis

$A=\int_{-\frac{\sqrt{2}}{3}}^{\frac{\sqrt{2}}{3}}\left ( x^2+3-10x^2\right )dx$

$A=2\int_{0}^{\frac{\sqrt{2}}{3}}\left ( 3-9x^2\right )dx$

$A=2\left [ 3\left ( \frac{\sqrt{2}}{3}\right )-\frac{9}{3}\left ( \frac{\sqrt{2}}{3}\right )^3\right ]$

$A=2\sqrt{2}\left [ 1-\frac{2}{9}\right ]$

$A=\frac{14}{9}\cdot \sqrt{2}\ unit^2$

3 0

3 years ago

Which expressions are equivalent to 5 x-15? Select three options.

mojhsa [17]

Answer:

$b) 5 (x-3)\\c) 4 x + 3 y-15- 3 y + x\\e) -20 - 3 x + 5 + 8 x$

Step-by-step explanation:

We are given the following expression in the question:

$5x-15$

$5 (x + 15)\\=5(x) + 5(15)\\=5x + 75$

which is not equivalent to the given expression.

$5 (x-3)\\=5(x)-3(5)\\=5x-15$

which is equivalent to the given expression

$4 x + 3 y-15- 3 y + x\\=4x+x+3y-3y-15\\=5x-15\\=5(x-3)$

which is equivalent to the given expression.

$-7 y-6 x- 8 y + x\\=-7y-8y-6x+x\\=-15y-5x\\=-5(x+3y)$

which is not equivalent to the given expression.

$-20 - 3 x + 5 + 8 x\\=-3x+8x-20+5\\=5x-15$

which is equivalent to the given expression.

7 0

3 years ago

In the diagram, line a is the perpendicular bisector of km. what is the length of km?

sleet_krkn [62]

Answer:

Step-by-step explanation:

From the given diagram;

KN = NM

9x - 5 = 7x + 7

9x - 7x = 7 + 5

2x = 12

x = 12/2

x = 6

Since KM= 2KL

KM = 2(6x+4)

KM = 12x + 8

KM = 12(6)+8

KM = 72+8

KM = 80

Hence the length of KM is 80

6 0

3 years ago

A triangle has sides of length 5, 8, and 10. What is the measure of its largest angle?

masha68 [24]

We'll use the Law of Cosines
We'll call
side a = length 5
side b = length 8
side c = length 10
and their corresponding angles as A, B and C
"C" would be the largest angle
cos (C) = (a^2 + b^2 - c^2) / 2 * a * b
cos (C) = (5^2 + 8^2 - 10^2) / 2 * 5 * 8
cos (C) = 25 + 64 -100 / 80
cos (C) = -11 / 80
cos (C) = -0.1375 
arc cosine ( -0.1375 ) = 97.903 Degrees
The largest angle is 97.903 Degrees

8 0

3 years ago