Short Answer: y = 36°
Remark
What an interesting question!! The first thing you have to do is find out what the interior angle of a regular pentagon is. After you have done that, you can calculate y.
Method.
The exterior angles of a regular figure add up to 360°.
Step One
Find out the size of the exterior angles of a regular pentagon.
There are 5 such angles. They add up to 360°
5x = 360 Divide by 5
x = 360 / 5
x = 72°
Step Two
Find out the value of the interior angles of a pentagon.
Method
The interior and exterior angles add up to 180°
Exterior Angle + Interior Angle = 180°
Exterior angle = 72 degrees
72° + Interior Angle = 180° Subtract 72 from both sides.
Interior Angle = 180° - 72°
Interior Angle = 108°
Step Three
Solve for y.
There are 3 tiles each with an angle of 108° that are placed together. So y + 3 interior angles = 360°
y + 3*interior angles = 360°
y + 3*108 = 360
y + 324 = 360 Subtract 324 from both sides.
y = 360 - 324
y = 36°
Answer: He will have $1974 in April.
Step-by-step explanation:
Given : Total money he earned = $2200
He spent $50 per month gym membership, a $68 monthly phone plan $48 monthly gas plan and $60 monthly fun plan.
So , Money he has left = Money he earned - Total expenditure
= $ ( 2200- (50+68+48+60))
= $ (2200- 226)
= $ 1974
Hence, He will have $1974 in April.
Answer:
1.2 kg
Step-by-step explanation:
We need 400 grams of potatoes for 4 people. That means each person will require 400 / 4 = 100 grams.
Now, we have 12 people, so the total number of grams needed will be:
(100 g/person) * (12 people) = 1200 grams
However, we want the answer in kilograms. There are 1000 grams in a kilogram, so divide 1200 by 1000:
1200 / 1000 = 1.2 kg
The answer is 1.2 kg.
Answer:
Cos b
Step-by-step explanation:
1/2[sin(a+b)+sin(a-b)]
1/2[sin a cos b +cos a sin b + sin A cos B - cos A sin B]
1/2[2sin a cos b]
sin a cos b
Answer:
Sixth graders: 14
Seventh graders: 28
Eighth graders: 28
Step-by-step explanation:
To solve this you just have to use a rule of three to solve the percentages, remember that the 100% will be the 70 students, and we solve each case separetly:
70 students= 100%
sixth grades= 40%
Sixth grades= (40*70)/100
Sixth graders= 28
70 students= 100%
seventh grades= 20%
seventh graders= (20*70)/100
Seventh graders=14
So if we have that the rest of the students are eighth graders, we just add up the sixth and seventh graders and withdraw them from the total:
28+14=42
70-42=28
SOwe have that the eighth graders are 28
