Step-by-step explanation:
OA=AC=OC=2 (equal triangle)
which means angle O =60 degree
tan 60 = AB / 2
AB = 2 tan 60 =

Answer:
Step-by-step explanation:
First calculate for the area of the trapezoid (the formula is (base + base / 2) x height):
60 cm + 90 cm = 150 cm
150 cm / 2 = 75 cm
75 cm x 30 cm = 2250 cm²
Now 1 cm² = 1 mL and 1000 mL = 1 L
2250 cm² = 2250 mL
2250 mL = 2.25 L
Answer:
x=3 meters
Step-by-step explanation:
step 1
Find the area of the rectangular pool

we have

substitute

step 2
Find the area of rectangular pool including the area of the walkway
Let
x ----> the width of the walkway
we have

substitute

step 3
Find the area of the walkway
To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway
so

step 4
Find the value of x if the area of the walkway equal the area of the pool
so

Solve for x

Solve the quadratic equation by graphing
The solution is x=3 meters
see the attached figure
Given:

To find:
The highest and lowest scores Sam could have made in the tournament.
Solution:
We have,


It can be written as

Add 288 on both sides.

and 
and 
Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.
We are given with a triangle and three medians. The intersection of the two medians is also given which is (4,5). What is asked is the intersection between another pair of medians. Since the medians of a triangle intersect at the centroid of a triangle, the intersection is also
<span>B. (4, 5)</span>