First you use Pythagorean theorem to find LO is square root of 194(13^2 + 5^2)=13.9. Then use the same method to find OM (194+13^2=363, square root of 363 is 19.1) and get that OM is 19.1
Answer:
To the nearest hundredth, this is 30.79 units
Step-by-step explanation:
To find the length of the arc, we simply apply the length of arc formula
Mathematically, that would be;
theta/360 * 2 * pi * r
Theta here is 98
r is 18 units
So the length of the arc will be;
98/360 * 2 * 22/7 * 18
= 30.7876 units
to the nearest hundredth, this is;
30.79 units
Answer:
See explanation
Step-by-step explanation:
Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).
Find the slopes of all sides:
- horizontal line
- slope undefined, so the line is vertical
- horizontal line
- slope undefined, so the line is vertical
Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle
Answer:
11,600
Step-by-step exp
the 4 in the tens place means the 6 stays the same
For this case, the first thing we must do is define variables.
We have then:
x = Carli's bill
y = Angela's bill
We have then:
"their total bill was $ 109"
x + y = 109
"Carli went over her data limit on her phone, so her share of the bill was $ 15 more than Angela's"
x = y + 15
Answer:
A system of equations that represents this situation is:
x + y = 109
x = y + 15