9514 1404 393
Answer:
BC ≈ 17.0 (neither Crow nor Toad is correct)
Step-by-step explanation:
The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.
The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.
The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.
Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)
Answer:
a). Fixed cost = $800
b). The cost for 25 items is $1050
c).Range = 150
Domain g(x) = 150
Step-by-step explanation:
The cost in dollars of making x item is given by the function C(x)=10x+800.
The fixed cost is when x= 0
Fixed cost
C(0)= 10(0) +800
C(0) = 0+800
C(0)= 800
Fixed cost = $800
The cost for 25 items
C(25) = 10(25)+800
C(25) = 250+800
C(25) = 1050
The cost for 25 items is $1050
If Maximum cost=$2300
C(x)=10(x) +800= 2300
Range of x
10(x) = 2300-800
10(x) = 1500
X= 1500/10
X= 150
Range = 150
Domain g(x) = 150
We are given that:
The spinner is a 3 divisions spinner. Numbering from 1-3
When the spinner is spun twice, the sum obtained will range from 2-6 as shown below:
We can thus see the probability distribution from above (I will write it below):
Therefore, the answer is the third option
Answer:
<h3>The given system of equations
and</h3><h3>
has exactly one solution</h3>
Step-by-step explanation:
Given that the system of equations and
has exactly one solution
<h3>For :</h3><h3>Now to show that the given system of equations has exactly one solution :</h3><h3>Solving the given equations (1) and (2) to get solution</h3><h3>Adding the equations (1) and (2) we get</h3>
______________
<h3>Therefore the value of is y=-6</h3><h3>Substitute the value of y in equation (1) we have</h3>
Therefore the value of x is x=0
<h3>Therefore it has exactly one solution is (0,-6)</h3><h3>Therefore the given system of equations
and</h3><h3>
has exactly one solutione given system of equations has exactly one solution</h3>