Answer:
x(1.052)= 33
x = 33/1.052 =31.36
Step-by-step explanation:
Answer:
Step-by-step explanation:
are corresponding angles.
Answer:
391.2cm²
Step-by-step explanation:
Triangle = 1/2bh*2=1/2(4)(6.9)(2)=27.6 for each end triangle.
14*8=112 for each rectangular side.
112+112+112+27.6+27.6=391.2cm²
Answer:
(6, -5) (Answer C)
Step-by-step explanation:
Multiply the first equation by 2. We get the following equivalent system:
4x + 2y = 14
x - 2y = 16
------------------
5x = 30, or x = 6.
Substituting 6 for x in the second equation, we get
6 - 2y = 16, or
- 2y = 10, so that y = -5
and the solution is (6, -5) (Answer C)
Answer:
C
Step-by-step explanation:
We have the equation:
Add 10 to both sides to isolate the equation.
This is not factorable*, so we can use the quadratic formula:
In this case, <em>a</em> = 4, <em>b</em> = 5, and <em>c</em> = 10.
Substitute:
Simplify:
Since we cannot take the root of a negative, we have no real solutions.
Our answer is C.
*To factor something in the form of:
We want two numbers <em>p</em> and <em>q</em> such that <em>pq</em> = <em>ac</em> and <em>p</em> + <em>q</em> = <em>b</em>.
Since <em>ac</em> = 4(10) = 40. We need to find two whole numbers that multiply to 40 and add to 5.
No such numbers exist, so the equation is not factorable.