A square's diagonal has a length equal to √(2) times the length of its sides. So if the side length is <em>x</em>, then the diagonal is such that
√(2) <em>x</em> = 10 cm
→ <em>x</em> = 10/√(2) cm ≈ 7.07 cm
The perimeter of a square is 4 times its side length, so the perimeter is
4 (10/√(2) cm) = 40/√(2) cm ≈ 28.3 cm
which makes 28.4 cm the closest answer.
Answer:
Total gallon of fuel used =
gallons
Step-by-step explanation:
Given -
The total distance travelled by car in one gallon of gas = 21 miles
Total distance travelled each day = 48 miles
Number of days days in a week in which Candice drive is 5 days
Total miles travelled per week =
= 240 miles
Total gallon of fuel used =
gallons
We need the exponents law

So if
a=3
b=1/2
then

where x represent every half a year.
Answer:
see explanation
Step-by-step explanation:
Using the Pythagorean identity
cos²A + sin²A = 1 ( divide terms by cos²A )
+
=
, that is
1 + tan²A = sec²A ← as required
Answer:
(1,1)
Step-by-step explanation:
we have
----> equation A
----> equation B
we know that
The solution of the system of equations is the intersection point both graphs
The intersection point both graphs is the point (1,1)
see the given graph
therefore
The solution is the point (1,1)
Remember that
if a ordered pair is a solution of a system of equations then the ordered pair must satisfy both equations of the system
<u><em>Verify</em></u>
Substitute the value of x=1 and y=1 in each equation and analyze the result
<em>Equation A</em>

---> is true
so
The ordered pair satisfy the equation A
<em>Equation B</em>
---> is true
so
The ordered pair satisfy the equation B
therefore
The ordered pair (1,1) is a solution of the system because satisfy both equations