Answer:
Step-by-step explanation:
<u>Slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Slope
Substitute m= ⅕ into the equation:
y= ⅕x +c
To find the value of c, substitute a pair of coordinates.
When x= 10, y= 4,
4= ⅕(10) +c
4= 2 +c
c= 4 -2
c= 2
Thus, the equation of the line is y= ⅕x +2.
Take into account the length of the right side of the figure is 10. Moreover, x is the hypotenuse of a right triangle. To find the value of x, use the sine function:
cos 45 = opposite side/hypotenuse
cos 45 = 10/x solve for x
x = 10/cos 45
x = 10/0.707
x = 14.14
with the previous value of x, you can find y. Again, consider the right triangle right side. x is the hypotenuse. Use the Pythagorean theorem to find y:
x² = 10² + y² solve for y and replace x
y² = x² - 10²
y² = (14.14)² - 100
y² = 200 - 100
y² = 100 apply square root both sides
y = 10
Hence, the values of x and y are 14.14 and 10 respectively
Answer:
2
Step-by-step explanation:
I infer that you are trying to ask what 4% of 50 is. 4% is equal to 4/100. 4/100 *50 = 4/2=2
First of all, i will start by comparing the given values. That will be;
7/2 meters=$231/4
1 meter= x
I represented the unknown value by x. Anyway, you have to cross and multiply. SO 7/2 multiplies x to give you 7/2x and 1 multiplies 231/4 to give you 231/4. That will be;
7/2x=231/4
Divide the both sides by 7/2.
7/2x÷7/2=231/4÷7/2
When dividing fractions, the division sign changes to a multiplication sign and the fraction on the right turns upside down. So;
x=231/4 x 2/7
x=231/14
x=$33/2.
Hope i helped.
