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
jarptica [38.1K]
3 years ago
8

The measure of one of the small angles of a right triangle is 14 more than 3 times the measure of the other small angle. Find th

e measure of both angles (in degrees).
Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Step-by-step explanation:

Lets assume that angle of right angle trangles are <a,<b and <c

here one of the angle is 90°

so, <a=90°

now,

By the question

<c=3×<b+14

again,

<a+<b+<c=180° (being sum of interior angles of trangles)

90°+<b+(3×<b+14)=180° ( including the value of <a and <c)

90°+<b+3<b+14=180°

4<b=180-90-14

<b=86/4

<b=19°

<c=3×<b+14

=3×19+14

<c=71

smallest angle is 19°

and another small angle is 71°

You might be interested in
At a school assembly four out of the first 10
Ilya [14]

Answer:

125

Step-by-step explanation:

Well if 10 x 50 is 500 (just to show how you get doesn't affect problem) you would simply divide by 4 thus, you get 125 (edit: sorry if this is wrong I'm in my first year of middle lol)

5 0
3 years ago
Evaluate 5 x 5 x 5 show me how u got it
Elodia [21]

Answer:

125

Step-by-step explanation:

5 x 5 x 5

when doing equations like these we go left to right so

25 x 5

125

5 0
2 years ago
Find the coefficient of x^4 in the expansion of (x−9)^8<br> Please I need help!!
alexdok [17]

Answer:

<u>4</u><u>5</u><u>9</u><u>2</u><u>7</u><u>0</u>

  • <u>is</u><u> </u><u>the</u><u> </u><u>coefficient</u>
5 0
3 years ago
How do you do this question?
Sergeeva-Olga [200]

Answer:

V = 2000r³/3

Step-by-step explanation:

We know that the base is a circular disk, so it creates a circle on the xy plane. It would be in the form x² + y² = r². In other words x² + y² = (5r)². Let's isolate y in this equation now:

x² + y² = (5r)²,

x² + y² = 25r²,

y² = 25r² - x²,

y = √25r² - x² ---- (1)

Now remember that parallel cross sections perpendicular to the base are squares. Therefore Area = length^2. The length will then be = 2√25r² - x² --- (2). Now we can evaluate the integral from -5r to 5r, of [ 2√25r² - x² ]² dx.

\int _{-5r}^{5r}\:\left[\:2\sqrt{\left(25r^2\:-\:x^2\right)}\:\right]\:^2\:dx\\=\int _{-5r}^{5r}4\left(25r^2-x^2\right)dx\\\\= 4\cdot \int _{-5r}^{5r}25r^2-x^2dx\\\\= 4\left(\int _{-5r}^{5r}25r^2dx-\int _{-5r}^{5r}x^2dx\right)\\\\= 4\left(250r^3-\frac{250r^3}{3}\right)\\\\= 4\cdot \frac{500r^3}{3}\\\\= \frac{2000r^3}{3}

As you can see, your exact solution would be, V = 2000r³/3. Hope that helps!

3 0
3 years ago
Move the numbers to the lines to order them from least to greatest
Yanka [14]

Answer:

-3/2, 1.25, |-9/4|, 2.5, 121

Step-by-step explanation:

Convert all numbers to a decimal

-3/2 = -1.5

|-9/4| = 2.25

2.5 = 2.5

121 = 121.0

1.25 = 1.25

Now put them in order from least to greatest.

-3/2, 1.25, |-9/4|, 2.5, 121

7 0
3 years ago
Other questions:
  • ASAP PLEASE ......................
    7·1 answer
  • Need help asap for geometry​
    6·2 answers
  • Find the value of x. Round to the nearest degree.
    14·1 answer
  • (8CQ) Find the sum of the geometric series. <br> 20-10+5-5/2+...
    15·2 answers
  • How do you figure out 3/2 divide 1/4=N. What is n between
    14·1 answer
  • Someone help me with this
    13·1 answer
  • Its mix and match for intergers
    10·1 answer
  • A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find the probability of drawing a yell
    10·1 answer
  • Write the equation of a line parallel to the line y=5x+2 that goes through the point (-4, 3).
    6·1 answer
  • I need help woth question and my test
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!