Answer:
Option D is correct.
Length of PQ is 36 unit.
Explanation:
If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.
Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.
Also it is given that Angle A is congruent to angle P and angle C is congruent to angle R.
To find the length of QR:
It is given that ΔABC and ΔPQR are Similar triangle
then, by the definition of similar triangle:

Substitute the value of AB, QR and BC to solve for PQ;
or

On simplify:

Therefore, the length of side PQ is 36 units.
Answer:
Step-by-step explanation:
Total number of rolls = 50
Number of times rolling a 6 = 8 times
Number of times not rolling a 6 = 50 -8 = 42
P(~6) = 42/50 = 0.84
Answer:
785.4
Step-by-step explanation:
The formula to find the surface area of a cylinder is
2* pi* radius* height + 2* pi* 2radius.
2( 3.14) (5) (20)= 628
2 (3.14* 5*5)= 157
628+ 157= 785.
Answer:
p=q^3
Step-by-step explanation:
Answer:
Step-by-step explanation:
(7,6) (-3,-1)
(x1,y1) (x2,y2)
