Answer:
The ratio of circumference to diameter is a constant
Step-by-step explanation:
The first line on the page tells you the relation: the ratio of the circumference to the diameter is about 3.14.
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Another way to say this is that the circumference is about 3.14 times the diameter.
Passes through (1, 9) with a slope of 2.
Assuming that we want this in slope intercept form, which is y=mx+b (m=slope, b=y-intercept) then we need to find the y-intercept! :)
To find the y-intercept (or b!!) you simply need to plug everything into slope intercept form using our given points.
y = mx + b
Plug everything in.
9 = 2(1) + b
Simplify.
9 = 2 + b
Subtract 2 from both sides.
9 - 2 = b
b = 7
Therefore, our y-intercept is 7! :)
Now that we have both the y-intercept and the slope, we can finally plug this into a new equation, using slope intercept form.
y = mx + b
y = 2x + 7
~Hope I helped!~
Answer:
Step-by-step explanation:
Given
The attached table
Required
The relationship between both temperatures
<em>This implies that we calculate the table equation</em>
First, we calculate the slope (m)
Where:
So, we have:
The equation is then calculated using:
This gives:
Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
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<em>Additional comment</em>
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
I think it is 56, is this a multiple choice question?
