MATHEMATICS COLLEGE

In a right triangle, the length of the hypotenuse is 12m and the measure of one of the acute angles is 36°.Find the measure of the other acute angle and the lengths of the legs.

Answers

Answer 1

Answer:

Two legs are 7.0534230 and 9.708203932.

The acute angle is 54 degrees.

Step-by-step explanation:

For the legs, you can use these two formulas:

12*cos(36)

12*sin(36)

(Make sure you put the 36 in degrees)

For the acute angle, 90-54=36 degrees.

Answer 2

Answer:

Answer:

The answer to your question is:

acute angle = 54°

legs 7 m y 9.7 m

Step-by-step explanation:

Data

Hypotenuse = 12 m

acute angle = 36° = a

acute angle 2 = ? = b

lengths of legs= ?

Process

The sum of the internal angles on a triangle equals 180°

a + b + 90 = 180

36 + b + 90 = 180

b = 180 - 126

b = 54°

sin Ф = opposite leg / hypotenuse

opposite leg = hypotenuse x sin Ф

opposite leg = 12 x sin 36

opposite leg = 7 m

Pythagorean theorem

c² = a² + b²

a² = c² - b²

a² = 12² - 7²

a² = 144 - 49

a ² = 95

a = 9.7 m

Related Questions

MATH 1325 – EXAM 4 NAME: ______________________________ SHOW ALL WORK. ANSWERS WITHOUT WORK WILL RECEIVE NO CREDIT. YOU MUST USE A PENCIL. READ ALL DIRECTIONS. POINTS WILL BE DEDUCTED FOR FAILURE TO FOLLOW DIRECTIONS. TRUE/FALSE – WRITE THE WORD THAT BEST DESCRIBES THE GIVEN STATEMENT BY WRITING EITHER "TRUE" OR "FALSE" IN THE SPACE PROVIDED TO THE LEFT OF THE PROBLEM. __________ 1. THE ABSOLUTE MAXIMUM OF A FUNCTION ALWAYS OCCURS WHERE THE DERIVATIVE HAS A CRITICAL FUNCTION. __________ 2. IMPLICIT DIFFERENTIATION CAN BE USED TO FIND dy dx WHEN x IS DEFINED IN TERMS OF y . __________ 3. IN A RELATED RATES PROBLEM, THERE CAN BE MORE THAN TWO QUANTITIES THAT VARY WITH TIME. __________ 4. A CONTINUOUS FUNCTION ON AN OPEN INTERVAL DOES NOT HAVE AN ABSOLUTE MAXIMUM OR MINIMUM. __________ 5. IN A RELATED RATES PROBLEM, ALL DERIVATIVES ARE WITH RESPECT TO TIME. MULTIPLE CHOICE – CHOOSE THE ONE ALTERNATIVE THAT BEST COMPLETES THE STATEMENT OR ANSWERS THE QUESTION BY CIRCLING THE CORRECT LETTER. 6. FIND THE MAXIMUM ABSOLUTE EXTREMUM AS WELL AS ALL VALUES OF x WHERE IT OCCURS ON THE SPECIFIED DOMAIN
The local orchestra has been invited to play at a festival. There are 111 members of the orchestra and 6 are licensed to drive large multi-passenger vehicles. Busses hold 25 people but are much more expensive to rent. Passenger vans hold 12 people. make a system of equations to find the smallest number of busses the orchestra can rent. Let x= the number of busses and y= the number of vans make an equation representing the number of vehicles needed. __________ make an equation representing the total number of seats in vehicles for the orchestra members. __________ Solve the system of equations. How many busses does the orchestra need to rent? ____________ How many 12-passenger vans does the orchestra need to rent? ____________
A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tank are thin glass which can only withstand a maximum force of 200 lb. How high (in ft) can the water reach before the sides shatter?(Assume a density of water rho = 62.4 lb/ft3.Round your answer to two decimal places.)
Which recursive formula defines this sequence for n > 1?3, 6, 9, 12, 15, 18, ...Question 4 options:an=3an−1an=an−1+3an=13an−1an=an−1−3
1. 2x2 + 3xy + 3xy is equivalent to

Find the sum: 3 4/5+2 1/4 i need helpnplzzz

Answers

Answer:

6 1/20 or as a decimal 6.05

Convert 3 over 7 into a percent.

Answers

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 3/7 as a percent, we need to find a fraction

equivalent to 3/7 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have $(3)/(7) = (n)/(100)$ .

Now, we can use cross-products to find the missing value.

So we have (3)(100) which is 300 is equal to (7)(n) or 7n.

So we have the equation 300 = 7n.

Next, dividing both sides of the equation by 7, we have 42.8571 = n.

So 3/7 is equal to 42.8571/100 or 42.8571%.

The short answer please

Answers

Answer:

4) 1

5) 13/0, ND

6) -4

7) 5/3

8) 0

9) -1/7

all ans r correct....

pls vote n rate if u found it useful ....

What value of n makes the equation 0.3(12 n-16)=0.4(12-3n) true

Answers

I believe that n= 2. please correct me if I am wrong.

Answer:

n=2

Step-by-step explanation:

Someone help me on this.

Answers

Answer:

$-57-39i$

Step-by-step explanation:

So we have the expression:

$(7+2i)(-9-3i)$

FOIL:

$=7(-9)+7(-3i)+2i(-9)+2i(-3i)$

Simplify:

$=-63-21i-18i-6i^2$

Recall that i² is just -1. Thus:

$=-63-21i-18i-6(-1)$

Simplify:

$=-63-21i-18i+6$

Combine like terms:

$=(-63+6)+(-21i-18i)$

Add:

$=-57-39i$

And we're done!

ILL GIVE BRAINLEST, tell whether the angles are adjacent or vertical. then find the value of x.

Answers

Answer:

The angles are adjacent and x=100