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1 answer:
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Answer:
Step-by-step explanation:
If AB is tangent to the circle, then angle ABO is right angle and triangle AOB is special triangle. In this triangle, the leg that is opposite to the angle of 30° is half of the hypotenuse. Thus,
By the Pythagorean theorem,
Answer:
x =
Step-by-step explanation:
Given
4x + 6 = 11 ( subtract 6 from both sides )
4x = 5 ( divide both sides by 4 )
x = = 1.25
Answer:
Fraction of the people chose a tart =
Step-by-step explanation:
Given - A group of people went to a coffee shop. Each person chose a
drink and a treat. number of people who chose coffee: number of
people who chose tea = 1:4. Of those who chose coffee, number of
people who chose a muffin number of people who chose a tart =
2:7. Of those who chose tea, number of people who chose a muffin
: number of people who chose a tart = 5:1.
To find - What fraction of the people chose a tart?
Proof -
Let the Total number of People went to a coffee shop = 5x
Now,
As given, number of people who chose coffee: number of people who chose tea = 1:4
⇒Total number of people who chooses coffee = = x
Total number of people who chooses tea = = 4x
Now,
As given,
Of those who choose coffee, number of people who chose a muffin number of people who chose a tart = 2:7
⇒Total number of people who choose muffin after coffee =
Total number of people who choose tart after coffee =
Also,
Given that
Of those who chose tea, number of people who chose a muffin : number of people who chose a tart = 5:1
⇒Total number of people who choose muffin after tea =
Total number of people who choose tart after tea =
∴ we get
Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea
⇒Total number of people who chooses tart = +
=
=
=
⇒Total number of people who chooses tart =
Now,
Fraction of the people chose a tart =
=
=
⇒Fraction of the people chose a tart =