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
Delvig [45]
3 years ago
5

Which angle has a measure closet to 30 degrees?

Mathematics
1 answer:
gladu [14]3 years ago
5 0

Answer:

b

Step-by-step explanation:

You might be interested in
Jakie is 5 years older than his brother kevin kevin is k years old write an algebraic expression
Grace [21]
The algebraic expression could be K=5+k
5 0
3 years ago
Add polynomials (intro) Add. Your answer should be an expanded polynomial in standard form. (3x^3 + 4x²) + (3x^3 – 4x^2 – 9x) =
Vlad1618 [11]

(3x^3 + 4x²) + (3x^3 – 4x^2 – 9x) =​

We have to combine like terms, terms that have x raised to the same power:

First, eliminate the parenthesis:

3x^3 + 4x² + 3x^3 – 4x^2 – 9x =​

We have 2 terms raised to the second power (4x^2 and -4 x^2) simply add and subtract.

3x^3+3x^3+4x^2-4x^2-9x

6x^3-9x

7 0
1 year ago
Find the equation of the lines, that is parallel to the line 9x-8y=1, and tangent to the elipses 9x^2+16y^2=52.
lara31 [8.8K]

Answer:

The equations of the lines that satisfy these conditions are

y = (9/8)x + (13/4)

And

y = (9/8)x - (13/4)

They can be written further as

8y = 9x + 26

and

8y = 9x - 26

Step-by-step explanation:

The line parallel to the line 9x - 8y = 1 has the same slope as 9x - 8y = 1

Writing the equation of the line in the (y = mx + c) form

8y = 9x - 1

y = (9/8)x - 1

So, the line(s) we are looking for has/have slope(s) of (9/8).

Its equation is then

y = (9/8)x + k

This line is then said to be tangent to the ellipses

9x² + 16y² = 52

So, since the line is a tangent to the ellipses, it will have the same coordinates as the ellipses at the point of contact.

9x² + 16y² = 52

y = (9/8)x + k

y² = (81/64)x² + (18k/8)x + k²

y² = (81/64)x² + (9k/4)x + k²

Substituting this into the ellipses equation,

9x² + 16y² = 52

9x² + 16[(81/64)x² + (9k/4)x + k²] = 52

9x² + (81/4)x² + 36kx + 16k² = 52

29.25x² + 36kx + 16k² - 52 = 0

Taking note that the two lines that will be tangent to the ellipses and parallel to the line given, to establish tangency, we make the discriminant of this equation 0. Hence, the roots of that equation will have equal roots.

So, the discriminant, b² - 4ac = 0

29.25x² + 36kx + 16k² - 52 = 0

a = 29.25

b = 36k

c = 16k² - 52

(36k)² - (4)×(29.25)×(16k² - 52) = 0

1296k² - 1872k² + 6084 = 0

576k² = 6084

k = ±(13/4)

So, the equation(s) of the line(s) required is

y = (9/8)x ± (13/4)

So, the equations include

y = (9/8)x + (13/4)

And

y = (9/8)x - (13/4)

Multiplying by 8, we obtain

8y = 9x + 26

8y = 9x - 26

Hope this Helps!!!

6 0
3 years ago
Mrs. Purdue needs to pick three random students in her class to be representatives on the student council. Explain how Mrs. Purd
Xelga [282]

Answer:

See below

Step-by-step explanation:

She could have each student in the class write his or her name on a slip of paper and put it in a bowl. Then, she could shake the bowl and pull out any slip of paper with a student's name on it. After 3 times, the random sample would be over, and Mrs. Purdue would have her 3 representatives.

5 0
2 years ago
What does 5/6 mean in math <br> p.s 5/6 in fraction
SOVA2 [1]

In math the fraction 5/6 means 5 and 6 tenths.

8 0
3 years ago
Other questions:
  • Sam opened a money-market account that pays 2% simple interest. He started the account with $7,000 and made no further deposits.
    9·1 answer
  • Convert 173 Degrees Celsius to Kelvin. Type your answer in number form without the K symbol.
    8·1 answer
  • Let P0 be an equilateral triangle of area 10. Each side of P0 is trisected, and the corners are snipped off, creating a new poly
    10·1 answer
  • This pyramid is cut by the plane shown. The plane is parallel to the base of the square pyramid. What is the shape of the cross-
    14·2 answers
  • X y<br> 2 5<br> 4 10<br> 8 20<br> 10 25<br> Find the slope.
    15·1 answer
  • PLEASE PLEASE PLEASE HELP!!<br>18 <br>​
    15·1 answer
  • Try to anwer this! i need helo alot of points if its correct &lt;3
    8·1 answer
  • Which of the following equations have no solutions?
    12·2 answers
  • QUESTION 2 PLS HELP MEE
    15·2 answers
  • Pls help me find this answer ☺️<br><br> 17% of 120
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!