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mina [271]
2 years ago
5

Check out this cube:

Mathematics
1 answer:
damaskus [11]2 years ago
3 0

Answer:

8

Step-by-step explanation:

2 x 2 x 2

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Which expression is equivalent to 7a^3(6a^2+a^2)-4a^6?
Thepotemich [5.8K]
Simply simplify:

7a³(7a²)-4a^6 ⇒ 49a^6 - 4a^6 ⇒ 45a^6

Hope that helps!
3 0
3 years ago
Towers A and B are located 5 miles apart. A ranger spots a fire at a 42-degree angle from tower A. Another fire ranger spots the
lord [1]

Answer: The fire is 3.5 miles from tower B

Step-by-step explanation: Please refer to the attached diagram. The triangle in the attached diagram illustrates the clues given in the question. Both rangers are standing at points A and B respectively with a distance of 5 miles between them, which is line AB. Also, one ranger spots a fire from a tower at an angle of 42 degrees, which is point A. Another ranger spots the same fire from another tower, but from an angle of 64 degrees, which is point B. The fire is at point C on the triangle. Now we have a triangle with only one side known (5 miles) and three angles known (the third angle is computed as 180 - {64+42} which equals 74) which are 64 degrees, 42 degrees and 74 degrees.

The distance from the fire to tower B is calculated using the law of sines. (Note that this is not a right angled triangle, hence we cannot use trigonometric ratios). The law of sines is expressed as follows;

a/SinA = b/SinB or

a/SinA = c/SinC

Depending on the sides and angles we are given and the ones we are to calculate.

The distance from the fire to tower B is line BC, labeled as a in our diagram. Using the law of sines

a/SinA = c/SinC

(Note also that a is directly facing angle A, c is directly facing angle C, and so on)

a/SinA = c/SinC

a/Sin 42 = 5/Sin 74

By cross multiplication we now have

a (Sin 74) = 5 (Sin 42)

Divide both sides of the equation by Sin 74 and we now arrive at

a = 5 (Sin 42)/Sin 74

a = 5 (0.6691)/0.9613

a = 3.3455/0.9613

a = 3.4802

{rounded to the nearest tenth of a mile, a equals 3.5}

Therefore the distance from tower B to the fire is approximately 3.5 miles

3 0
3 years ago
The difference of two numbers is 40. Their sum is 66. Find the numbers.
Margaret [11]
First of all, x>y
x-y=40
and
x+y=66
add them equations together to eliminate

x-y=40
<u>x+y=66 +</u>
2x+0y=106

2x=106
divide by 2
x=53

sub back
x-y=40
53-y=40
minus 53 both sides
-y=-13
y=13


the numbers are 53 and 13
8 0
3 years ago
Read 2 more answers
Which of the following is not an inequality? A 435 ≥ 5p + 4 B g - 7 &lt; 100 C 18x + 9y D a &gt; 6b
sleet_krkn [62]

Answer:

C. 18x + 9y: Because there isn't an relation between the two, all the others have and inequality sign meaning you can solve them, however C does not.

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Malorie can work 10 math problems in 3 minutes.
Slav-nsk [51]
200
You divide 60 by 3 because there are 60 m minutes in 1 hour. You get 20. 
You then multiply 10 by 20 and you get 200. 
Hope this helps! :)
6 0
3 years ago
Read 2 more answers
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