Answer: 149.5 quarts
Step-by-step explanation:
From the question, we are informed that Jason has a container holding 11.5 quarts of liquid and that he wants to find enough containers to hold 13 times this amount of liquid.
The number of quarts of liquid that the containers need to hold will be:
= 13 × 11.5
= 149.5 quarts
Your answer
C) 2
1) Given the table, let's find out that missing data picking 2 points (2,-10) and (6,-4)
Since we have the slope, let's work on finding the linear coefficient
plugging point (2,-10) into that:
y= mx +b
-10 =3/2(2) +b
-10 =6/2 +b
-10= 3 +b
-10-3 =b
b= -13
2) So the rule of that function is y= 3/2x -13
Plugging x= 10 we have
y= 3/2(10) -13
y=2
3) So the missing y-coordinate is 2.
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An image is a scaled copy of the original if the shape is stretched in a way that does not distort it.
Answer:
39.6 feet tall
Step-by-step explanation:
From what the problem says, we know that the shadow, the ground, and the tree make a triangle. We also know that the tip of the shadow has a 32° angle of elevation. So how do we use this information to find the height of the tree?
Through the use of trigonometric ratios, we'll be able to find the height of the tree. There are three trigonometric ratios which are shown below:
Sine∅ = (Opposite ÷ Hypotenuse)
Cosine∅ = (Adjacent ÷ Hypotenuse)
Tangent∅ = (Opposite ÷ Adjacent)
In the situation given to us, the hypotenuse of our triangle would be the diagonal from the top of the tree to the tip of the shadow. However, we are not given the measurement of the hypotenuse nor are we being asked to find the measurement.
The trigonometric ratio that we will need to use is tangent.
Tangent∅ = (Opposite ÷ Adjacent)
We already know that we need to find the tan(32°) but how can we tell what is the opposite and what is the adjacent? Well if you remember that the 32° angle is where the tip of the shadow is on the ground, then we know that the ground has to be the adjacent and the tree has to be the opposite giving us this equation:
tan(32°) = (x ÷ 60)
Solve for x.
(0.66) = (x ÷ 60)
x = 39.6 feet
~Hope this helps!~
