Answer:
Length of side AB = 5
Step-by-step explanation:
A regular polygon is one in which all angles are equal and all the sides have the same length.
Now, it means that;
AB = BC = CD = DE = AE
We are told that BC is represented by 3x - 4 while DE is represented by the expression 4x - 9.
Thus, from equal length of sides of a regular polygon, we have;
3x - 4 = 4x - 9
4x - 3x = 9 - 4
x = 5
Thus, length of BC = 3(5) - 4 = 15 - 4 = 11
Therefore, Length of AB = 5
Answer:
(x+8) ^2=64
Step-by-step explanation:
that will give you your two solutions: x= -16 and x=0. I hope this helps!!!
Answer:
He use 97 pound of type A coffee
Step-by-step explanation:
Let's call A the pounds of type A coffee that Austin used this month and B the pounds of type B coffee that Austin used this month.
From the sentence: Type A coffee costs bill $5.70 per pound and type B coffee costs $4.65 per pound and the total cost is $943.50, we can formulated the equation 1 as:
5.70*A + 4.65*B=943.50
Because the total cost is the sum of the cost of every type of coffee.
Additionally, from the sentence: This month bill made 181 pounds of the blend, we can formulate the equation 2 as:
A + B = 181
Solving for B, we get:
B = 181 - A
Now, for find the value of A we need to replacing this last equation on equation 1, and solving for A as:
5.70*A + 4.65*B=943.50
5.70*A + 4.65*(181-A)=943.50
5.70*A + 841.65 - 4.65*A = 943.50
5.70*A - 4.65*A = 943.50 - 841.65
1.05*A = 101.85
A = 101.85/1.05
A = 97
So, this month, he use 97 pound of type A coffee.
Answer:
x=(-3,0)
y intercept= (0,-1)
Step-by-step explanation:
to find the x-intercept you need to substitute 0 for y and solve for x. To find the y intercept, substitute 0 for x and solve for y.
<span>Think of arcsin (-1/3) as an angle, and call it "theta." The the original problem becomes "find sec [ 2 theta ]"
1 1
which is the same as "find ------------------ " or --------------------------------------
cos[2 theta] (cos theta)^2 - (sin theta)^2
Recall that theta = the angle whose sine is -1/3. Thus, sin theta = -1/3 and cos theta = 2sqrt(2) / 3.
So we now have:
1
-------------------------------------------
2 sqrt(2) -1
[------------------- ]^ 2 - [ ------- ]^2
3 3
which boils down to:
1 1
----------------- = ---------------- = 9/7 (answer)
8 1 7/9
------ - --------
9 9
</span>
