Answer:
A = 3 units^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the length of the base and h is the height
b = the distance from B to C = 4 units = 2 ( watch the scale)
h = the distance from A to C along the x axis =6 units = 3 (watch the scale)
A = 1/2 (2)(3)
A = 3 units^2
Step-by-step explanation:
Part A:
Let
be the number of mittens and
be the number of scarves. Then we have the inequalities:
<em>This says Nivyana and Ana cannot make more than 30 scarves</em>
<em>This says that</em> <em>Nivyana and Ana have to earn at least $1000.</em>
Part B:
The graph is attached.
Notice that the graphs of the inequalities are solid lines, this just means that the points on these lines included to the solutions of each inequality.
The darker shaded region and the solid lines bounding it, are the solutions to the inequalities because that's where the values common to both inequalities are found.
Part C:
From the graph we get two possible solutions:
15 scarves & 10 mittens
25 scarves & 5 mittens.
These two points lie on the solid lines that bound the darker shaded region<em> (I picked those points to stress that the lines bounding the dark region are also solutions.)</em>
Answer:
Option: C is the correct answer.
C. Buying a needle and buying thread are dependent events.
Step-by-step explanation:
let A denotes the events of buying a thread.
and B denote the event of buying a needle.
Then A∩B denote the event of buying a needle and a thread.
Also let P denote the probability of an event.
i.e. we are given:
P(A)=0.15
Also P(B|A)=0.25
As we know that:

As we know that when two events A and B are independent then,
P(A∩B)=∅
otherwise they are dependent events.
Hence, option: C is the correct answer.
Answer:
The number of employees in 8 years is 442
Step-by-step explanation:
Given:
Decreasing rate = 7%
Current number of employees = 790
To Find:
The number of employees after 8 years is this same rate continues =?
Solution:
Let the number of employees after 8 years be x
The current number of employees is:
---------------------------------(1)
since the decrase rate is 7% we use 0.07
So after 8 years , eq (1) can be rewritten as



x= 442.005
x= 442 (approx)
Answer:
This prism has: 5 Faces. 6 Vertices (corner points) 9 Edges.
Step-by-step explanation: