Answer:
solution is
[-3,-1]
Step-by-step explanation:
we are given

Firstly, we will find critical values
so, let's assume it is equal

now, we can break absolute sign
For
:

we can solve for x

Add both sides by 20


Divide both sides by -10
and we get

For
:

we can solve for x

Subtract both sides by 20


Divide both sides by 10
and we get

so, critical values are


now, we can draw a number line and locate these values
and then we can check inequality on each intervals
For
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-5



so, this is FALSE
For
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-2



so, this is TRUE
For
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=0



so, this is FALSE
so, solution is
[-3,-1]
A. A=1/2(6x8)= 24
B=6+15+10=31
SA=2(24)+31(8)=296in.
b.V=1/2(8)(6)(15)=360in.
c. I'm not sure.
Answer:
or exact is −0.70710678...
Step-by-step explanation:
Getting the point!
- If we look at the unit circle and we find
we see it is in the 3rd quadrant. - We know that all points in the 3rd quadrant have both negative x and negative y values.
- We know that all radians with the base of 4 on the unit circle have the points of
- Because we are in the 3rd quadrant and both x and y are negative we know the point of
is 
Finding the sin!
- Because we know that sin is asking us for the y value
- We can just look at the point and find the y value!
- the y value is

- Because this fraction does not need to be rationalized we are good!
- Use a calculator to find the exact value and you get -0.70710678...
- The final answer is
or exact is −0.70710678...
Hope this helps!! Please mark Brainliest!
Answer:
457 pesos
Step-by-step explanation:
From the above question, we are told that:
David bought 23 pens and 15 pencils.
Each pen = 14 pesos
Each pencil = 9 pesos
The amount of money David spent in total =
(23 × 14 pesos) + (15 × 9 pesos)
= 322 pesos + 135 pesos
= 457 pesos
Therefore, David spent in total 457 pesos
Answer:
V = 10 x 9 x (1/3)
V = 30 in³
Step-by-step explanation: