Answer:
Step-by-step explanation:
To find the value of x, using Pythagorean theorem.
7) x² = 12² + 12²
= 144 + 144
= 288
x = √2*12*12
x = 12√2
8) x² + 9² = 18²
x² + 81 = 324
x² = 324 - 81
x² = 243
x = √3*9*9
x = 9√3
Answer:
A. Nat Turner
Step-by-step explanation:
Nat Turner led a 4-day rebellion of both enslaved and free black people in Southampton County, Virginia.
Hope this helps :)
Answer:
$97.15.
Step-by-step explanation:
We have been given that a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month. The interest rate of credit card is 3.35% monthly.
We will use interest formula to solve our given problem.
, where,
,
,
,
Let us convert our given interest rate in decimal form.

Upon substituting our given values in interest formula we will get,



Therefore, the monthly interest charge at the end of the 1st month will be $97.15.
Answer:
19.2 grams
Step-by-step explanation:
Assuming it is a straight proportion, then the givens are
w1 = 150 pounds
m1 = 24 grams
w2 = 120 pounds
m2 = x
m = medication amount.
w = weight
Equation
m1/w1 = m2/w2
Solution
24/150 = x / 120 Multiply both sides by 120
24 * 120/150 = x 120 /120
2880/150 = x Do the division
19.2 grams = x The amount the 120 pound woman should receive.
Answer:

Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation. We will chose point-slope since we have a point and slope.
Point slope:
in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute
and
.


This is the equation of the line perpendicular to the equation given that crosses through (-2,3).