MATHEMATICS HIGH SCHOOL

A right triangle has a hypotenuse of length 59 and one leg of length 23. Part A: Determjne the angle measure of the other two acute angles in the triangle. Round to the nearest hundredth.

Part B: Determine the side length of the other leg.

Answers

Answer 1

Answer:

Answer:

Part A) The measure of the other two acutes angles are $=67.06\°$ and $22.94\°$

Part B) The side length of the other leg is equal to $54.33\ units$

Step-by-step explanation:

Part A)

see the attached figure to better understand the problem

we know that

In the right triangle ABC

$cos(A)=(AB)/(AC)$

substitute the values

$cos(A)=(23)/(59)$

$A=arccos((23)/(59))=67.06\°$

Remember that

$A+C=90\°$ -------> by complementary angles

$C=90\°-67.06\°=22.94\°$

Part B)

Applying the Pythagoras Theorem

$CB^(2)=AC^(2)-AB^(2)$

substitute

$CB^(2)=59^(2)-23^(2)$

$CB^(2)=2,952$

$CB=54.33\ units$

Related Questions

Item 1 The value of a car is $23,000. It loses 11.1% of its value every year. Find the approximate monthly decrease in value. Round your answer to the nearest tenth.
1)Which of the following is correct about parallelogram?A. The consecutive angles are congruentB. The diagonals bisect each other at right angleC. The diagonals are congruentD. The two pair of opposite sides are parallel and congruent
Help me with question 3 for brainliest
Differentiate the following functions s=4e^3t-e^-2.5 w.r.t.t
What is the seventh term of the sequence whose nth term is (n + 1)(n − 2)?

What is the fraction 18/24 reduced to the lowest terms

Answers

Since 6 goes into both of them you would have to divide each by 6 to get 3/4. This is the answer. Hope this helped.

The lowest term of 18/24 is 3/4
Next time if you want to know usually calculators simply it down for you if you just type in the 18/24

Hi there,Can you solve this task?

You see seven sisters standing around the kitchen table. Every sister has her own backpack. In each backpack there are seven large cats. And guess what! For every big cat there are also seven small kittens. The question is – how many legs are in the room?

Answers

We have 7 people which result ----> 7 * 2 = 14 legs

Also, the table has 4 legs

The number of the big cats is 7 *7 =49 (big cats)

For every big cat we have ---> 49 * 4= 196 legs

For every big cat we have 7 small cats which means --> 49 * 7= 343 (small kittens)

The number of legs for small kittens is 343 * 4 = 1372 legs

The number of legs is:

14+4+196+1372= 1586 legs are in total

7 girls: 14 legs
7 backpacks * 7 (1big cats +7 kittens): 1568 legs (assuming 4 legs each)
1 table: 4 legs
total: 14+1568+4 = 1586 legs

Write a ratio that is equivalent to 8:6

Answers

Answer:

4/3

Step-by-step explanation:

Answer:8 : 6 16 : 12 24 : 18 32 : 24 40 : 30

Step-by-step explanation: There all equivalent

A bag contains 4 blue, 4 red, and 4 green marbles. Four marbles are drawn at random from the bag. How many different samples are possible which include exactly two red marbles?

Answers

you make a tree diagram to find the possible outcomes, which there are 81 possible outcomes, 24 of which have exactly 2 red in them.

Write the explicit rule.

-21, -51, -81, -111, -141

Answers

Answer:

aₙ = - 30n + 9

Step-by-step explanation:

You can tell this is an arithmetic sequence, as there is a difference of 30 between each value. Therefore the equation we will use here is aₙ = a₁ + (n - 1)d.

aₙ = a₁ + (n - 1)d

= - 21 + (n - 1) * - 30

= - 21 - 30n + 30

= - 30n + 9

Your solution would be option d. aₙ = - 30n + 9

Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y?

Answers

Well, there are $x$ amounts of white flower and 6 cups of wheat flower.

So the total flower is $x+6$

Given that $y$ is the total, the equation you would use is:
$y=x+6$

The constraints are as follows:
y can only be $\geq$ 6

And if y=0, x would have to be -6 (which is impossible)

Final answer:

The equation representing the total amount of flour Otto used in his recipe is y = 6 + x. Here, x and y should be non-negative real numbers, and y will always be at least 6.

Explanation:

The total amount of flour that Otto used in his recipe is represented by the equation y = 6 + x, where x is the quantity of white flour used, and 6 is the amount of whole wheat flour used. This equation comes from the concept of sum in mathematics, where we combine or add up different quantities to get a total.

The constraint on the value of x (the amount of white flour) is that it must be a "non-negative real number". This is because, in real-life context, it's not possible to use a negative amount of something. Similarly, y (the total amount of flour) must also be a non-negative real number and must be at least 6 (since we always have 6 cups of whole wheat flour in the recipe).