It must be about the origin in order to do that
An absolute value inequality for "all numbers less than 7 and greater than -7" is given by |x| < 7.
<h3>How to write an absolute value inequality?</h3>
Based on the information provided, we can logically deduce that the statement describes an intersection of set because the word "and" was used.
This ultimately implies that, we would use the less than (<) symbol to write an absolute value inequality for the given statement:
|x| < 7
Therefore, this can be translated as follows:
-7 < x < 7 or x < 7 and x > -7.
Read more on number line here: brainly.com/question/24644930
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Let's work on the left side first. And remember that
the<u> tangent</u> is the same as <u>sin/cos</u>.
sin(a) cos(a) tan(a)
Substitute for the tangent:
[ sin(a) cos(a) ] [ sin(a)/cos(a) ]
Cancel the cos(a) from the top and bottom, and you're left with
[ sin(a) ] . . . . . [ sin(a) ] which is [ <u>sin²(a)</u> ] That's the <u>left side</u>.
Now, work on the right side:
[ 1 - cos(a) ] [ 1 + cos(a) ]
Multiply that all out, using FOIL:
[ 1 + cos(a) - cos(a) - cos²(a) ]
= [ <u>1 - cos²(a)</u> ] That's the <u>right side</u>.
Do you remember that for any angle, sin²(b) + cos²(b) = 1 ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.
So, on the <u>right side</u>, you could write [ <u>sin²(a)</u> ] .
Now look back about 9 lines, and compare that to the result we got for the <u>left side</u> .
They look quite similar. In fact, they're identical. And so the identity is proven.
Whew !
Answer:
339.12 cubic millimeters
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder
so
step 1
Find the volume of the cylinder
The volume is given by

where
B is the area of the base of cylinder
h is the height of cylinder
we have

we have

----> the radius is half the diameter


substitute

step 2
Find the volume of the sphere
The volume is given by

we have
----> the radius is half the diameter
substitute

step 3
Adds the volumes

Answer: 5
Step-by-step explanation:
First we should do the first step: 7+2=9, The they lose 4 which then 9-4
which would equal 5