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
sergeinik [125]
3 years ago
11

How do you find direct variation? im having trouble understanding this subject

Mathematics
1 answer:
rodikova [14]3 years ago
5 0
I was too just a couple of weeks ago. So direct variation is the constant way to variables change together. EX: 
x  y
1 2
2 4
3 6
Direct variation must be in the format b=ka where k is a constant. So the direct variation here could be y=2x. Understand?
You might be interested in
How to solve these two problems ?
puteri [66]

8)  \theta is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

tan\ \theta = \frac{-5}{4}

\theta is in quadrant 4

To find: \theta

From given,

tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34

Thus value of \theta is -51.34 degrees

Convert degrees to radians

-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian

Thus \theta is -0.896 radians

9)

From given,

radius = 15.4 cm

\theta = \frac{13 \pi }{15}

<em><u>The length of arc when angle in radians is:</u></em>

arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91

Thus length of arc is 41.91 cm

4 0
3 years ago
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess
statuscvo [17]
Let's start by visualising this concept.

Number of grains on square:
1   2   4   8   16 ...

We can see that it starts to form a geometric sequence, with the common ratio being 2.

For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
T_n = ar^{n - 1}
T_{15} = 2^{14} = 16384

Thus, there are 16, 384 grains on the fifteenth square.

The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
S_n = \frac{a(r^{n} - 1)}{r - 1}
S_{15} = \frac{2^{15} - 1}{2 - 1}
S_{15} = 2^{15} - 1 = 32767

Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
6 0
3 years ago
Read 2 more answers
When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickel
Georgia [21]
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25

The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73

Now you have a system of equations.

n + p = 25
0.05n + 0.01p = 0.73

Solve the first equation for n:
n = 25 - p

Now substitute into the second equation.

0.05(25 - p) + 0.01p = 0.73

1.25 - 0.05p + 0.01p = 0.73

-0.04p = -0.52

p = 13

There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.

n + 13 = 25
n = 12

There are 13 pennies and 12 nickels.

Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
5 0
3 years ago
Which symbol makes the statement true? 125.32 ____ 125.093<br><br> &lt;<br> &gt;<br> =<br> ≥
Alexandra [31]
Hello : 
125.32  > 125.093 .. because : 3 <span>> 0</span>
4 0
3 years ago
Read 2 more answers
Write 41/11 as a decimal
dimaraw [331]
41/11

Simply use your calculator

3.727272....
8 0
3 years ago
Other questions:
  • What is the median of the data set? {20, 25, 36, 41, 87, 91, 92, 95, 99}
    5·2 answers
  • Please help me [Trig]
    13·1 answer
  • 4 5/8 - 2 11/20 = <br> What is the answer
    10·2 answers
  • Driving 25 miles total. Already driven 11 miles. What fraction of the way have we driven?
    10·2 answers
  • Your boss hands you the monthly data that show the number of orders coming in to and out of the warehouse. The data are in the t
    10·1 answer
  • Please help me thanks
    15·2 answers
  • Wisal buys a car for £19000.
    11·1 answer
  • What is the surface area of a sphere with a diameter of 14 cm?
    8·1 answer
  • HELP ASAP 20 POINTS BRAINLIEST
    11·1 answer
  • It is Sunday morning and Jake has discovered he has a leak coming from the sink in his guest bathroom. Since plumbers charge to
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!