Answer:
-7 is answer of it 31-38 i hope you like it please mark me brilliant
First, let's define variables:
A = adults
C = children
Okay, now that's done, time to set up the two equations required to solve:
10a + 7c = 6549
a + c = 783
One way you can solve this is to set up the second equation to isolate a variable. For example,
a = -c + 783
Using this, we can plug it into the first equation and solve for c.
10(-c+783) + 7c = 6549
-3c = -1281
c = 427
Now, use the value of 427and plug it in either equation to solve for a.
a + 427 = 783
a = 356
356 adult tickets were sold, and 427 children tickets were sold.
1.
15h = 75
15h/15 = 75/15
h = 5
2.
-d = -6
-d(-1) = -6(-1)
d = 6
3.
5k = 25
5k/5 = 25/5
k = 5
4.
13 = -x/2
-x/2 = 13
-x/2 * (-2) = 13 * (-2)
x = -26
Answer:
48.5cm²
Step-by-step explanation:
The figure is can be divided into 3 parts:
The square, The rectangle and The triangle
We will be finding the area of each shape.
The square: Area = length * length
Length of square = 3. Area = 3 cm * 3 cm = 9 cm²
The rectangle: Area = length * breadth
Length = 8 cm; Breadth = 4 cm. Area = 8 cm * 4 cm = 32 cm²
The triangle: Area = 0.5 * height * base
Height = 5 cm; Base = 3 cm. Area = 0.5 * 5 * 3 = 7.5 cm²
Base is the shorter side of the triangle that is not the diagonal side (hypotenuse). It is gotten by subtracting the given length of the bottom part of the figure which is 4 cm from the top part of the figure which is 7 cm and it is also the other side of the square that is not given.
Height is the longer side of the triangle that is not the hypotenuse.
It is gotten by subtracting the given length of the right side which is 3 cm from the given length of the left side of the figure which is 8 cm.
Base and height can be used interchangeably.
Adding all the areas together: 9 + 32 + 7.5 = 48.5 cm²
Answer:
Your answer would be .
Step-by-step explanation:
The formula for the equation of a circle is , where (h, k) is the center of the circle, and r is the radius. Since the center is (-1, 3), the left half of the equation is . Now, all we have to do now is find the radius, r. To do that, you can use the distance formula to find the distance between the center (-1, 3) and a point that passes through the circle, or is on the circumference, (-4, -2). When you calculate that, you will get , so the radius is . But, we want the radius squared, which is 34. So, the final answer is what I wrote above.
Hope that helped! :)