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Arlecino [84]
3 years ago
13

A rectangular section of wilderness will be set aside as a new wildlife refuge. Its dimensions are 6 x 10^5 meters by 5 x 10^4 m

eters. Find the area of the land in square meters by 5 x 10^4 meters. Find the area of the land in the square meters. Make sure your answer is in correct scientific notation form and show your work.
Thanks.
Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer:

area is length * width, so

5x10^5 * 4x10^4

multiplication is commutative, so that's

5*4 * 10^5*10^4

= 20 * 10^9

= 2*10^10 m^2

if the powers stuff is confusing, it's just shorthand for multiplication

10^5*10^4 = (10*10*10*10*10)*(10*10*10*10) = 10^9

just as multiplication is shorthand for addition

5*4 = 5+5+5+5

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Calculate the length b to two decimal places.
Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:        

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta

Upon substituting our given values in the formula we will get,

(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)  

(AC)^{2}=225+144-360\text{ cos}(106)      

(AC)^{2}=369-360(-0.275637355817)      

(AC)^{2}=369+99.22944809412    

(AC)^{2}=468.22944809412

Upon taking square root of both sides of our equation we will be get,

AC=\sqrt{468.22944809412}

AC=21.6386101238993629\approx 21.64  

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0
3 years ago
Annoying me I’ve been at this for hours
Lady_Fox [76]
Volume is 18 in cubed
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7 0
2 years ago
One and a half x + 3/4 x equals 5/8
USPshnik [31]
1 and 1/2x+3/4x=5/8
combine x's
1 and 1/2x=4/4x+2/4x=6/4x
6/4x+3/4x=5/8=9/4x
9/4x=5/8
multiply both sides by 8
18x=5
x=5/18

x=5/18 or aprox 0.277777777777

5 0
3 years ago
Read 2 more answers
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor
jonny [76]

Answer:

12

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5 0
3 years ago
Amelia has 3 gallons of paint .Mason have 10 quarts .How many more pints of paint does AMELIA have then mason.
Ber [7]

Answer:

4 Pints

Step-by-step explanation:

According to the scenario, calculations are as follows,

As we know, 1 gallon = 8 Pints

1 Quarts = 2 Pints

So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints

Mason = 10 quarts = 10 × 2 Pints = 20 Pints

So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints

= 24 pints - 20 pints

= 4 Pints  

6 0
3 years ago
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