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Sauron [17]
3 years ago
14

In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of t

he side adjacent to angle C?
6.4 inches
7.7 inches
8.4 inches
13.1 inches
Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

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Do you agree with the researchers method of predicting the population? Why or why not?
Burka [1]

Yes, I agree with the researcher's method. All the values of a_{n} in the table correspond to the values of n by using their formula.

Step-by-step explanation:

Step 1:

If we substitute the values of n in the researcher's equation and we get the right values of a_{n}, we can agree with the researcher's method.

The researcher's formula is a_{n} = 1000(2)^{n-1}. Here a_{n} is the wombat population and n is the number of years.

Step 2:

When n = 1, a_{1} = 1000(2)^{1-1} =  1000(1) = 1,000,

when n = 2, a_{2} = 1000(2)^{2-1} = 1000(2) = 2,000,

when n = 3, a_{3} = 1000(2)^{3-1} = 1000(4) = 4,000,

when n = 4, a_{4} = 1000(2)^{4-1} = 1000(8) = 8,000,

when n = 5, a_{5} = 1000(2)^{5-1} = 1000(16) = 16,000.

As all the values correspond to the values on the table, I agree with the researcher's method.

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3 years ago
Determine the perimeter
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Answer:

139

Step-by-step explanation:

14+14+28+33+33+17 = 139

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3 years ago
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The endpoints of AB¯¯¯¯¯¯¯¯ are 8 and 16. Find the coordinate of the point P that partitions the segment in the ratio 3 : 1.
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Answer:

The coordinates of the point P is 14.

Step-by-step explanation:

Let point A is at 8 and B is at 16.

P is the point where the line segment in the ratio 3 : 1.

This is also where P is \frac{3}{4} rds the distance from A to B

The total distance is |16 - 8| = 8  

The distance between point AB is 8 units.

\frac{3}{4} of 8 is 6.

So, the point P is 6 units from A .

8 + 6 = 14

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Hence, the coordinates of the point P is 14.

This also works if you go 1/3 from B.

-8 is 4 from -4 which is 1/3 of 12.

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3 years ago
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Answer:

Around 217 pounds

Step-by-step explanation:

Let's convert the height into inches.

5 feet 8 = 5\cdot12 + 8 = 60 + 8 = 68

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We can set up a proportion

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We can use the cross products property to find x.

205\cdot72=14760\\\\\\14760\div68\approx217

Hope this helped!

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