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musickatia [10]
11 months ago
13

Two decimals that are equivalent to 2.015

Mathematics
1 answer:
nika2105 [10]11 months ago
6 0

Answer:

2.015 is already in decimals. In words it is two and fifteen thousandths.

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Find x. Round to the nearest degree.
jeka94

The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.


We want angle x, which is opposite the side of length 39.


Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x


or 1521 = 3481 + 1296 - 2(36)(59) cos x


Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x

-3256 = -4248cos x

-3256

Then: cosx = --------------- = 0.766

-4248


Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)

5 0
3 years ago
chloe has 42 oranges 24 apples and 18 bananas to put into fruit baskets each fruit will be divided equally so each basket will h
Nimfa-mama [501]

We want to calculate the number of baskets to which chloe can make.

Note that we have 42 oranges, 24 apples and 18 bananas, and since we are splitting them into the number of baskets, it must happen that the each number is a multiple of the number of baskets.

We will check each option to find out if the numbers are a multiple of the number. Then we will take the greatest to number to which all of them are a multiple.

Case 2: Note that 42= 21*2, 24=12*2 and 18 = 9*2 so all of them are multiples of 2.

So, so far the greatest number is 2.

Case 3:

Note that 42 = 3*14, 24 = 8*3 and 18 = 6*3. So all of them are multiples of 3.

So, so far the greatest number is 3.

Case 6:

Note that 42 = 6*7, 24 = 6*4 and 18 = 6*3. So all of them are multiples of 3. So, so far the greatest number is 6.

Case 8:

Note that 24=8*3. But neither 18 o 42 are multiples of 8. So, this can't be an option.

So, this means that the most number of fruit baskets Chole can make is 6, since 6 divides evenly all three numbers (42,24 and 18)

3 0
1 year ago
For every hour of exercise, Tina drinks 8 ounces of water. What is the ratio of hours to water
LuckyWell [14K]

Answer:

1:8

Step-by-step explanation:

1 hour for every 8 ounces gives a 1:8 ratio

7 0
3 years ago
Read 2 more answers
Which of the following sets could be the sides of a right triangle?
MArishka [77]
In a right triangle the sum of the squares of the lengths of two shorter sides is equal to the square of the length of the longest side.

a.
2^2+3^2=(\sqrt{13})^2 \\
4+9=13 \\
13=13 \\ true

b.
2^2+2^2=4^2 \\
4+4=16 \\
8=16 \\
not \ true

c.
1^2+(\sqrt{3})^2=2^2 \\
1+3=4 \\
4=4 \\
true

The answer is A and C.
5 0
3 years ago
Read 2 more answers
What is the GFC of 40 and 60
Svetradugi [14.3K]

Answer:

GCF: 20

Step-by-step explanation:

The thing you want to do is factor both numbers down to their lowest primes.

40:2 * 2 * 2 * 5

60:2 * 2 * 5 * 3

Now underline what is in both sets of primes. I'll bold them. The number that is bolded comes from 2 * 2 * 5 which is 20

The highest common factor is 20

3 0
3 years ago
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