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nydimaria [60]
3 years ago
10

The water level in a lake decreased by 2 1/4 inches in march and increased by 1 5/8 inches in april. Determine wether the water

level increased or decreased and by how much 1. Increased by 3/8 2. Increased by 5/8 3. Increased by 5/8 4. Decreased by 5/8
Mathematics
1 answer:
mezya [45]3 years ago
3 0

Change in level is given by :

C = increase in level - decrease in level.

Now,

Decrease in level in March is 2 1/4 = 9/4 inches.

Increase in level in April is 1 5/8 = 13/8 inches.

Putting value of these in above equation, we get :

C = 13/8 - 9/4

C = 13/8 - 18/8

C = -5/8 inches

Therefore, the overall level after April will decrease by 5/8 inches.

Hence, option 4. is correct.

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Do the ratios 3/4 and 4/8 from a proportion
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A cottage has a gable roof. To the nearest foot, how wide is the cottage?A. 12 ftB. 24 ftC. 35 ftD. 70 ft
Sergio [31]

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

7 0
2 years ago
A sum of scalar multiples of two vectors (such as au + bv, where a and b are scalars) is called a linear conbination of the vect
belka [17]

Answer:

  -4u -5v

Step-by-step explanation:

Let the sum be ...

  <3, -27> = a<3, 3> +b<-3, 3>

This resolves to two equations

  3 = 3a -3b

  -27 = 3a +3b

Adding these together, we get

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  a = -4

Substituting into the second equation gives ...

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The desired linear combination is ...

  <3, -27> = -4<3, 3> -5<-3, 3> = -4u -5v

6 0
3 years ago
Read 2 more answers
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