All categories

3 years ago

In the right triangle above a=2.7 and b=4.3. Find the value of c, rounded to the nearest tenth

Mathematics

1 answer:

morpeh [17]3 years ago

7 0

Answer:

5.1

Step-by-step explanation:

Since there is no diagram provided here, we assume that c is the length of the hypotenuse, so we have ...

c² = a² +b² . . . . . . Pythagorean theorem

c² = 2.7² +4.3² = 25.78

c = √25.78 ≈ 5.0774

c ≈ 5.1

You might be interested in

If jeannie eats 1,840 calories a day ,how many calories will she have eaten after 182 days?

steposvetlana [31]

To do this multiply 1840 by 182. This gives you 334,880.

3 0

3 years ago

Read 2 more answers

The royals softball team played 75 games and won 55 of them. What percent of the games did they lose (round to the nearest hundr

dimaraw [331]

If they won 55 of the games, that means they lost the rest of the 75. So,
75 - 55 = 20 games lost. To find the percentage of 20 out of 75, you set up a proportion:

$\frac{20}{75}=\frac{x}{100}$

where x = the percentage of games lost. Cross multiply and divide to isolate the x:

$\frac{20}{75}=\frac{x}{100}\\75x=2000\\75x/75=2000/75\\x=26.6666667$

Rounded to the nearest hundredth, the Royals lost 26.667 % of their games.

3 0

2 years ago

Read 2 more answers

What is the quotient of 2 3/4 and 5 1/2?

Juli2301 [7.4K]

Answer:

1/2

Step-by-step explanation:

This can be done several ways. Perhaps the easiest is to use the decimal equivalents:

(2 3/4)/(5 1/2) = 2.75/5.5 = 0.5

If you want to use the numbers given, the usual procedure is to convert them to improper fractions and do the division that way:

2 3/4 = (4·2 +3)/4 = 11/4

5 1/2 = (2·5 +1)/2 = 11/2

Now, the problem can be written as ...

(2 3/4) / (5 1/2) = (11/4) / (11/2)

This sort of division problem can be solved two ways:

invert and multiply (the denominator is inverted)

= (11/4) × (2/11) = (11·2)/(11·4) = 2/4 = 1/2

use a common denominator (for the two fractions)

= (11/4) / (11/2) = (11/4) / (22/4) = 11/22 = 1/2

The quotient is 1/2.

_____

Additional comments

It is helpful in many cases to just use decimal equivalents for the calculation. To do that, you need to be familiar with the equivalents of commonly used fractions. I find it is usually sufficient to know the unit fractions in each case. Then you can multiply or add to find the others.

1/9 = 0.1...(1-digit repeat), 1/8 = 0.125, 1/7 = 0.142857...(6-digit repeat), 1/6 = 0.16...(1-digit repeat), 1/5 = 0.2, 1/4 = 0.25, 1/3 = 0.3...(1-digit repeat), 1/2 = 0.5

I learned the "invert and multiply" method for dividing fractions when I was in school. The Common Core math apparently also teaches the method of matching the denominators of a compound fraction. Then the result is the ratio of numerators. (A variation not taught is that you can match the numerators and use the inverse of the ratio of denominators. Both of these methods can be validated using the "invert and multiply" method. (11/4)/(11/2) = 2/4)

"Invert and multiply" is another way of saying that division is the same as multiplication by the reciprocal. This applies everywhere, not just in fraction problems.

8 0

3 years ago

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y repr

tensa zangetsu [6.8K]

Answer:

tycho hits kibitz book johhckl

6 0

3 years ago

Refer to the rectangle below. The length of the rectangle is x + 12. The width of the rectangle is x + 3.

Elis [28]

Answer:

$x^2+15x+36$