Answer:
68.8cm^2
Step-by-step explanation:
A trapezoid=h/2(b1+b2)
A trapezoid=6.4/2(12.9+8.6)
A trapezoid=3.2(21.5)
A trapezoid=68.8cm^2
3 days. If every day he runs 10 laps then that would be 4000 meters. 1 kilometer is equal to 1000 meters. That means everyday he runs 4 kilometers. Then after 3 days he would have ran 12 kilometers.
The markup percentage is .40778 -> 40.778%
$4015 = current price ; $2852 = original price
To find the mark up percentage:
First, find the difference between the current price and original price.
$4015 - $2852 = $1163
Second, divide the price difference by the current price to get the percentage.
1163/2852 = .40778
Check the math by multiplying the original price by the markup percentage and add the original price to it.
$2852 X .40778 + $2852 = $4015
Answer:
1/2
Step-by-step explanation:
3x=(1/2)(2x+2)
3x=x+1
3x-x=x-x+1
2x=1
x=1/2
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0