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
Semmy [17]
3 years ago
10

What is the value of tan A?

Mathematics
1 answer:
Ronch [10]3 years ago
6 0

For the given triangle, the tan of angle A equals \frac{3}{4} = 0.75.

Step-by-step explanation:

Step 1:

In the given triangle for angle A, the opposite side has a length of 6 cm, the adjacent side has a length of 8 cm while the hypotenuse of the triangle measures 10 cm. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.

tan A = \frac{oppositeside}{adjacent side}.

Step 2:

The opposite side's length = 6 cm.

The adjacent side's length = 8 cm.

tan A = \frac{oppositeside}{adjacent side} = \frac{6}{8} = \frac{3}{4} = 0.75.

You might be interested in
Identify an equation in point-slope form for the line perpendicular to y = 3x + 5
Licemer1 [7]

Answer:

perp.: -1/3

y + 1 = -1/3(x - 4)

y + 3/3 = -1/3x + 4/3

y = -1/3x + 1/3

Step-by-step explanation:

6 0
3 years ago
Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.
Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

x^4-(3m+2)x^2+m^2=0

x^4+0x^3-(3m+2)x^2+0x+m^2=0

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}

=\frac{0}{1}=0

\implies a=0----(1)

(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}

=\frac{-3m-2}{1}

3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2

-10b^2=-3m-2

\implies b^2=\frac{3m+2}{10}-----(2)

(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2

9b^4=m^2

9(\frac{3m+2}{10})^2=m^2

9(\frac{9m^2+4+12m}{100})=m^2

81m^2+36+108m=100m^2

-19m^2+108m+36=0

19m^2-108m-36=0

19m^2-114m+6m-36=0

19m(m-6)+6(m-6)=0

(19m+6)(m-6)=0

\implies m=-\frac{6}{19}\text{ or }m=6

But m > 0,

Hence, the value of m is 6.

4 0
3 years ago
A man bought a $250 suit and 4 shirts for $398.How much did he spend per shirt?
iren [92.7K]

Answer:

99.5

Step-by-step explanation:

398 ÷ 4

6 0
3 years ago
Read 2 more answers
The table shows the scores for four students on a math test. Who earned the highest grade?
geniusboy [140]
The answer is Mary, Mary got 88% Ben got 86% and Jim got 85%
7 0
2 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
shtirl [24]

Answer:

It would be the third one hope i helped

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The seventh term of an arithmetic sequence is 10.2 and the twelfth term is 17.7. What is the common difference of the arithmetic
    7·1 answer
  • Given the following formula, solve for l.<br> (look at picture for question)
    13·2 answers
  • Least common multiple of 10 , 5 ,3
    13·1 answer
  • Please help with math
    13·2 answers
  • Multi step equation and check 12x+3-1=35
    9·1 answer
  • JOSE SAID ALL OF THE MULTIPLES OF 8 ARE ALSO MULTIPLES OF 2. JAMILA SAID THAT ALL OF THE MULTIPLES OF 8 ARE ALSO MULTIPLES OF 4
    7·1 answer
  • What is the mean of a set of numbers​
    13·2 answers
  • Need help ASAP !!!!!!!!!!!!! Which statements describe the graph of f(x) = -1/4x as a transformation of the graph of g(x) = 1/x?
    6·1 answer
  • can someone help me with the equation and the diagram and the answers for this question please and thank you
    15·1 answer
  • The May bank statement for Rental shows a balance of $6,000, but the balance per books shows a cash balance of $8,000. Other inf
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!