Answer:

Step-by-step explanation:
Given


Required
Find d
We have:

Substitute: 



Express as:


Split


To write in form of: 
The value of a must be: 
So, we have:


Approximate

Answer:
Yes, she can drew a right triangle with these sides
Step-by-step explanation:
To answer this question we first have to prove the Pythagorean theorem
h = hyoptenuse
a = leg 1
b = leg2
h² = a² + b²
We have to replace the values that they gave us in this formula
The hypotenuse always has to be the longest side of a right triangle
(14cm)² = (11.2cm)² + (8.4cm)²
196cm² = 125.44cm² + 70.56cm²
196cm² = 196cm²
As we can see, equality is fulfilled, so she is correct
Answer:
3.5% Error
Step-by-step explanation:
I used this equation - 100 * (1 - (75.5/78.25)) = 3.514376...(Rounded to the tenths place you get 3.5)
Breakdown: You want to get your error to do this first you get your percent that was correct which is - (75.5/78.25)
You then subtract this by one because this will give you your margin of error as a decimal hence - (1 - (75.5/78.25))
Lastly, multiply this by 100 because you want to convert the decimal into a percent then round to the nearest tenth of a percent resulting in 3.5% error.
Answer:

Step-by-step explanation:
The equation of a circle in standard form:

(h, k) - center
r - radius
We have the endpoints of the diameter: (-1, 6) and (5, -4).
Midpoint of diameter is a center of a circle.
The formula of a midpoint:

Substitute:

The center is in (2, 1).
The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.
The formula of a distance between two points:

Substitute the coordinates of the points (2, 1) and (5, -4):

Finally we have:

Answer:
B, C, E
Step-by-step explanation:
Tips = $20 × 15%
$20 × 
$3
Total = $20
Without tips = $17
Things that can buy for $17 are B, C, E