True or false? The circumcenter of a triangle is the center of the only circle that can be circumscribed about it
2 answers:
Answer:
True
Step-by-step explanation:
Circumcircle: A circle drawn outside a circle is called circumcircle and its center is called circum-center.
Circum-center of triangle:It is the point where the perpendicular bisectors of a triangle intersect.
The circumcenter of triangle is also the center of triangle's circumcircle.
The circumcenter is equidistant from each vertex of the triangle.
The circumcenter of right triangle falls on the side opposite the right triangle.
Hence, the circumcenter of a triangle is the center of the only circle that can be circumscribed about it.
Answer :True
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Answer:
First type of fruit drinks: 48 pints
Second type of fruit drinks: 32 pints
Step-by-step explanation:
Let's call A the amount of first type of fruit drinks. 55% pure fruit juice
Let's call B the amount of second type of fruit drinks. 80% pure fruit juice
The resulting mixture should have 65% pure fruit juice and 80 pints.
Then we know that the total amount of mixture will be:
Then the total amount of pure fruit juice in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:
+
--------------------------------------
We substitute the value of A into one of the two equations and solve for B.
Answer:
£83.70
Step-by-step explanation:
→ First step is to find the amount of hours it takes for one builder
We know it takes 5 builders hours so 1 builder would take 5 ×
which is
hours so it takes one builder 17.5 hours to builder a wall
→ Now we know how long one work takes we need to find out the time for 2 builders
1 builder = 17.5 hours
2 builders = 17.5 ÷ 2 = 8.75 hours
So 2 builders take 8.75 hours
→ We know that each builder is paid £9.30 for each or part hour they work so
9.30 hourly pay rate × 9 hours work of work = £83.70
Each worker will be paid £83.70