I'll presume the slash is the fraction bar and the questioner is asking about
That always equals 4 except when
So the restriction is
Answer: a ≠ -3
Juan has 20 books to sell. He sells the books for $15 each. The amount of money Juan makes from selling booka is represented by
1 answer:
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Answer:
The angle is 55°
Step-by-step explanation:
To find the angle at which a bid is looking up on top of a tree that is 10feet tall if the bird is on the ground 7 feet away from the tree, we will follow the steps below:
we will use trigonometric ratio to find the angle
SOH CAH TOA
sinФ = opposite / hypotenuse
cosФ = adjacent / hypotenuse
tanФ = opposite /adjacent
from the diagram below, opposite = 10 feet and adjacent = 7 feet
the best trig.ratio to use is tan
tanФ = opposite /adjacent
tanФ = 10 /7
tan Ф =1.42857
to get the value of Ф, we will take the tan⁻¹ of both-side
tan⁻¹ tan Ф = tan⁻¹ 1.42857
Ф= tan⁻¹ 1.42857
Ф≈55°
Therefore, the angle is 55°
Answer:
Step-by-step explanation:
Hi there!
Slope-intercept form: where
is the slope and
is the y-intercept (the value of y when x is 0)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two given points are
and
Plug in the given points (15,2.2) and (5,1.6):
Therefore, the slope of the line is . Plug this into
:
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
Plug in a given point and solve for b:
Therefore, the y-intercept is . Plug this back into
:
I hope this helps!
Answer:
Weight of empty bottle = 0.8 kg
Weight of water = 1.6 kg
Step-by-step explanation:
As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.
Let us assume
Weight of empty bottle = x
Weight of water = y
Now,
when the bottle is 1/4 full of water
then,
weight of water = ×y
As given , Bottle weight = 1.2 , when it is 1/4 full of water
⇒ Weight of water + weight of bottle = 1.2
⇒ ×y + x = 1.2
⇒ y + 4x = 4.8 .......(1)
Also given, A bottle weight = 2.4 , when it is full of water
⇒ Weight of water + weight of bottle = 2.4
⇒ y + x = 2.4 ......(2)
Subtract equation (2) from equation (1) , we get
y + 4x - ( y+ x) = 4.8 - 2.4
⇒ y + 4x - y - x = 2.4
⇒3x = 2.4
⇒x = = 0.8 kg
and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg
∴ we get
Weight of empty bottle = x = 0.8 kg
Weight of water = y = 1.6 kg