Answer:
10
Step-by-step explanation:
Each pie was cut into 6 pieces. 6 x 10= 60.
1.35=area
formula for area of a triangle is base times height divided by two and therefore 1.5 times 1.8 divided by two is 1.35
Answer:
9
Step-by-step explanation:
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.
Fill in the numbers for each corresponding letter combination within the formula.
Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).
Subtract the numbers within the parentheses.
0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.
Multiply that result by the number to the left of the parentheses.
0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.
Add the three products together.
0 + 0 + 18 = 18
Divide the sum of the three products by 2.
18 ÷ 2 = 9
Answer:
x=4
Step-by-step explanation:
Consider ΔKLJ:
sinθ=opposite/hypotenuse
sin30=LJ/8√2
LJ=0.5*8√2=4√2
Consider ΔMLJ:
sinθ=opp/hyp
sin45=x/4√2
1/√2=x/4√2
4√2/√2=x
x=4
Answer: children= 8, adult= 7
Step-by-step explanation:
Let the number of children be x
Let the number of adults be y
There was a total of 15 people. This can be represented as:
x + y = 15 .......... equation i
Child tickets cost 5$ and adult tickets cost 10$. She then spent a total of 110$. This can be represented as:
5x + 10y = 110 ............. equation ii
Combine both equations
x + y = 15 ........... equation i
5x + 10y = 110 .......... equation ii
Multiply equation I by 5
Multiply equation ii by 1
5(x + y = 15)
1(5x + 10y = 110)
5x + 5y = 75 .......... equation iii
5x + 10y = 110 ........ equation iv
Subtract equation iv from iii
-5y = -35
y = 35/5
y = 7
Number of adults is 7
Since x + y = 15
x = 15 - 7
x = 8
Number of children is 8
