Once again similar traingles.
With same ratioes as before.
RS/RT = RV/RU=SV/TU = 1/2
Answer:
r = 12
Step-by-step explanation:
From the figure attached,
QP is a tangent to the circle O at the point P.
Therefore, by the property of tangency,
OP ⊥ QP
By applying Pythagoras theorem In right triangle QPO,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(OQ)² = (OP)² + (PQ)²
(25 + r)² = (35)² + r²
625 + r² + 50r = 1225 + r²
50r = 1225 - 625
50r = 600
r = 12
Therefore, r = 12 units is the answer.
1 1/12
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(1/3, 3/4) = 12
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(13×44)+(34×33)=?
Complete the multiplication and the equation becomes
4/12+9/12=?
The two fractions now have like denominators so you can add the numerators.
Then:
4+9/12=13/12
This fraction cannot be reduced.
The fraction
13/12
is the same as
13÷12
Convert to a mixed number using
long division for 13 ÷ 12 = 1R1, so
1312=1 1/12
Therefore:
13+34=1 11/2
Answer:
yo
Step-by-step explanation:
Answer:
5.25 miles
Step-by-step explanation:
We are required to determine the distance between Lighthouse A and Lighthouse B in the diagram.
Using Law of Cosines
The distance between lighthouses is 5.25 miles.