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3 years ago

A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are

Mathematics

1 answer:

Zanzabum3 years ago

5 0

Answer:

The measures of the angles are 36.9 deg, 53.1 deg, 90 deg.

Step-by-step explanation:

The lengths of the sides are the famous Pythagorean triple: 3, 4, 5.

To find the angles, we use trigonometry.

Since it's a right angle, the longest side is the hypotenuse.

The hypotenuse has length 5.

The legs have lengths 3 and 4.

tan A = opp/adj

A = tan^(-1) opp/adj

A = tan^(-1) 4/3 = 53.1 deg

The acute angles of a right triangle are complementary.

B = 90 - A = 90 deg - 53.1 deg = 36.9 deg

Answer:

The measures of the angles are 36.9 deg, 53.1 deg, 90 deg.

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Three prime numbers which add up to 25

dolphi86 [110]

Answer:

7 + 11 + 11

Step-by-step explanation:

7 + 11 = 18

18 + 7 = 25

8 0

3 years ago

The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that varies from

makvit [3.9K]

Answer:

$|T- 98.6| \geq 3$

And in order to solve this we have two possibilities:

Solution 1

$T -98.6 \leq -3$

And solving for T we got:

$T \leq 98.6- 3$

$T\leq 95.6$

Solution 2

And the other options would be:

$T -98.6 \geq 3$

$T \geq 101.6$

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

$|T- 98.6| \geq 3$

And in order to solve this we have two possibilities:

Solution 1

$T -98.6 \leq -3$

And solving for T we got:

$T \leq 98.6- 3$

$T\leq 95.6$

Solution 2

And the other options would be:

$T -98.6 \geq 3$

$T \geq 101.6$

6 0

3 years ago

There are 36 carpenters in a crew.

dolphi86 [110]

Answer:

Step-by-step explanation:

27 ÷ 36 = 0.75

0.75 → 75%

75% of the crew are men

Hope this helped! :)

7 0

3 years ago

Read 2 more answers

The decimal form of a fraction is called a what

Yuri [45]

Answer:

Hello Adam here!

Step-by-step explanation:

The numbers that are represented by decimal numerals are the decimal fractions (sometimes called decimal numbers), that is, the rational numbers that may be expressed as a fraction whose denominator is a power of ten.

Hope This Helps From, Adam :)

7 0

3 years ago

Athena is going to draw one marble from a paper sack. Inside the sack, there are 6 blue marbles, 6 black marbles, 3 green marble

marta [7]

Answer:

D. 2/17

Step-by-step explanation:

Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.

Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.

7 0

3 years ago