Angles ∠ACD and ∠CAB are congruent because they are alternate angles. Then the area of the triangle AOB will be 22.53 square cm.
<h3>What is the
area of the right-angle triangle?</h3>
The area of the right-angle triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
We know that angles ∠ACD and ∠CAB are congruent because they are alternate angles.
α₁ = 40°
AO = OC = 7.8 cm
Then the area of the triangle will be
Area = 1/2 x 7.8 x 7.8 x tan40°
Area = 22.53 square cm
More about the area of the right-angle triangle link is given below.
brainly.com/question/16653962
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Answer:the number of coach tickets that she bought is 5
the number of first class tickets that she bought is 6
Step-by-step explanation:
Let x represent the number of coach tickets that she bought.
Let y represent the number of first class tickets that she bought.
The total number of people that went for the round trip is 11. This means that
x + y = 11
She was able to purchase coach tickets for $340 and first class tickets for $1190. She used her total budget for airfare for the trip, which was $8840. This means that
340x + 1190y = 8840 - - - - - - - 1
Substituting x = 11 - y into equation 1, it becomes
340(11-y) + 1190y = 8840
3740 - 340y + 1190y = 8840
- 340y + 1190y = 8840 - 3740
850y = 5100
y = 5100/850 = 6
x = 11 - y
x = 11 - 6 = 5
<span>There are 4 long rows and 5 short rows in the theater. x represents the number of chairs in each long row and y represents the number of chairs in each short row.
So, total number of chairs in 4 long rows= 4x
Total number of chairs in 5 short rows = 5y
Total number of chairs in the theater on a normal day = 4x + 5y
When 2 chairs are added to each long row, the number of chairs will change to (x+2).
So, total number of chairs in 4 long rows will be = 4(x+2)
When 3 chairs are added to each short row, the number of chairs will change to (y+3)
So, total number of chairs in 5 short rows will be = 5(y+3)
Thus, total number of chairs in the theater in rush day = 4(x+2) + 5(y+3)
= 4x + 8 + 5y + 15
= 4x + 5y + 23
Thus we can say the number of chairs increase by 23 as compared to a normal day.
</span>
Answer:
KArl should use 3/16 cups of chili powder
Step-by-step explanation:
Given that:
Recipe's requirement : 3/8 cups
Karl wants to use half : 1/2
The given question involves fractions. When the number of cups has to be divided into half, it will be multiplied with 1/2.
So,
Multiplying the chili powder requirement of the recipe to 1/2

Hence,
KArl should use 3/16 cups of chili powder
A is not right. Half the cookie would have an angle of 180
B is not right. 4 pieces would have an angle of 288
C is correct. 360/5 is 72 degrees
D is not right. 2 pieces would have an angle of 144
E is correct 90<144 so a 90 degree angle would fit in 2 pieces