1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ronch [10]
3 years ago
5

Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics
1 answer:
natta225 [31]3 years ago
5 0

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

You might be interested in
You make $7 for every lawn you mow.
pickupchik [31]
You would have to mow 9 lawns
5 0
2 years ago
Read 2 more answers
Dominick spent 2 3/4 hours on his art project Rachel worked one and 1/3 times as long on her art project as Dominick worked for
inna [77]
Answer is Rachel worked 3 2/3 hours

Step by step

Dominic worked 2 3/4 hours

Rachel worked (1 1/3) times (2 3/4)

1 1/3 x 2 3/4. Change into an improper fraction

4/3 x 11/4. multiply across

44/12

Simplify

= 3 2/3
6 0
1 year ago
At the beginning of the month, Leona's checking account had $2,344.98 in it. Since then, she has written checks for $525.00, $33
TiliK225 [7]
Should would have $1,642.86 in her account 
3 0
3 years ago
In science class, jada uses a graduated cylinder with water in it to measure the volume of some marbles. After dropping in 4 mar
hammer [34]

Answer:

0.5

Step-by-step explanation:

4 marbles its at 10 and after dropping in 2 more its volume increased by one mL. and 1 divided by 2 equals 0.5.

3 0
3 years ago
Read 2 more answers
Discrete Mathematics I
faust18 [17]

ANSWER



The general solution is 86+280n, where n is an  integer



<u>EXPLANATION</u>



In order  to solve the linear congruence;



33x \equiv 38(mod\:280)



We need to determine the inverse of 33 (which is a Bézout coefficient for 33).



To do that we must first use  the Euclidean Algorithm to verify the existence of the inverse by showing that;



gcd(33,\:280)=1



Now, here we go;



280=8\times33+16



33=2\times 16+1



16=2\times 8+0



The greatest common divisor is the last remainder before the remainder of zero.



Hence, the gcd(33,\:280)=1.



We now express this gcd of 1 as a linear combination of  33 and 280.



We can achieve this by making all the non zero remainders the subject and making a backward substitution.



1=33-2\times 16--(1)



16=280-33\times8--(2)



Equation (2) in equation (1) gives,



1=33-2\times (280-8\times33)



1=33-2\times 280+16\times33



1=17\times33-2\times 280



The above linear combination tells us that  17 is the inverse of 33.



Now we multiply both sides of our congruence relation by 17.



17\times 33x \equiv 17\times 38(mod\:280)



This implies that;



x \equiv 646(mod\:280)



x \equiv 86.



Since this is modulo, the solution is not unique because any integral addition or subtraction of the modulo (280 in this case) produces an equivalent solution.



Therefore the general solution is,



86+280n, where n is an  integer

6 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate using order of operations: 8+3(5+2) -7•2
    13·2 answers
  • M+45=32 solve the equation
    10·2 answers
  • Which of the following is the surface area of the right cylinder below?
    15·2 answers
  • Help please!!
    6·2 answers
  • Can someone please help
    8·2 answers
  • Name the property shown by each statement:
    5·2 answers
  • Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest. He invested
    10·1 answer
  • Factor the expression.<br> -28.2 - 14
    14·1 answer
  • Write all prime numbers from 20 to 50.​
    14·2 answers
  • Which can be solved by using square roots? Choose all that apply. (Hint: Make sure each equation is set equal to 0 before you ma
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!