Answer:
The measure of the arc of the circular basin = 136°
Step-by-step explanation:
The measure of an angle formed when two line intercepts outside a circle is half the difference of the measure of the intercepted arcs.
Mathematically, the is represented as:
Measure of an angle = 1/2(big angle - Small angle)
This values are given in the question
Measure of an angle = Measure of angle formed by tangents to the fountain = 44°
big angle is represented by = 360°-x
small angle is represented by = x
Therefore, we have
44° = 1/2( 360° - x -x)
44° = 1/2(360° - 2x)
Cross multiply
44° × 2 = 360° - 2x
88° = 360° - 2x
88° - 360° = - 2x
-272° = -2x
x = -272/-2
x = 136°
The measure of the arc of the circular basin = 136°
Answer:
95 child tickets
Step-by-step explanation:
a+c =153 c=( 153-a) you need to plug this for c
9.6a + 5.6(153-a) = 1088.8
9.6a + 856.8 - 5.6a = 1088.8
4a +856.8 = 1088.8
subtract 856.8 on both sides
4a = 232
a=58 (58 adults)
153 - 58 = 95 (95 children)
95*$ 5.6 = $532
85 *$ 9.6 =$ 556.8
$532 + $556.8 =$ 1088.8
Hey there! How are you today?
First, when dealing with the Distributive Property, we always need to pay attention to what number/variable we are multiplying by.
The concept of the Distributive Property is to look at the number/variable outside of the parenthesis and then multiply it by all numbers/variables inside of the parenthesis individually, and then sum those products up.
If you're having trouble grasping this concept, here's an example:
Ex:
2(1 + 3)
Multiply the number outside of the parenthesis (2) by all numbers inside of the parenthesis (1 and 3) individually.
2*(1) + 2*(3)
Simplify the multiplication process.
2 + 6
Sum up our products.
8.
8 is our answer for this example.
Now that we've explained and practiced what we are working on, let's apply this concept to the real problem.
7(2x^2 + 9x - 3)
Multiply the number outside of the parenthesis (7) by all numbers/variables inside of the parenthesis (2x^2, 9x, and -3).
7(2x^2) + 7(9x) + 7(-3)
Simplify the first multiplication parenthesis.
7*2x^2 = 14x^2
Simplify the second multiplication parenthesis.
7*9x = 21x
Simplify the third and final multiplication parenthesis.
7*(-3) = -21 (When you multiply a positive by a negative, your product is negative).
Now, let's write down our final products as a whole answer. Remember to start from the highest exponent.
14x^2 + 21x - 21 is your final expression.
I hope this helps! Let me know if you have any questions or concerns down in the comment box below this answer, and I'll get back to you when I can.
Answer is x= 3 or x= -2
x(x+2) -3 (x+2) = 0
(x+2) (x-3) =0
x+2=0
x-3=0
so..
x=-2
x=3
hope this helped a bit good luck :)
