Use the Pythagorean theorem...
a²+b²=c², in this case a²=c²-b<span>²</span>
a²+24²=33.94113<span>²
a</span><span>²+576=1,152.00031
a</span><span>²=576.000306
a=24 (If you need the exact number, not rounded, it is 24.0000064)</span>
Answer:
the answer is 25
Step-by-step explanation:
Answer: The area is 510.25 cm². If the circumference of the cap were smaller then the area would be smaller as well
Step-by-step explanation:
First, you must find the radius
<em>80.1 ÷ 3.14 = 25.5</em>
<em>25.5 ÷ 2 = 12.75 <---- radius</em>
Then from that, you find the area
A=πr²
<em>12.75² = 162.5</em>
<em>162.5 × 3.24 = 510.25</em>
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<em>Hope this was helpful!</em>
<em></em>
Answer:
a) 
And if we solve for 
we got:
b) False
The reason is because we don't satisfy the following relationship:
We have that:
c) False
In order to satisfy independence we need to have the following condition:
And for this case we don't satisfy this relation since:
Step-by-step explanation:
For this case we have the following probabilities given:
Part a
We want to calculate the following probability:
And we can use the total probability rule given by:
And if we solve for we got:
Part b
False
The reason is because we don't satisfy the following relationship:
We have that:
Part c
False
In order to satisfy independence we need to have the following condition:
And for this case we don't satisfy this relation since:
The problem statement says "the graph is shown," but you haven't shared it. Please do that if possible. Thank you.
<span>Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept.
We can quickly put this into slope-intercept form:
12 - 2x
Subtract 2x from both sides: 2x - 2x + 4y = 12 - 2x => y = ------------
4
In simplest form, this is y = 3 - (1/2)x, or (-1/2)x + 3. The slope is -1/2 and the y-intercept is (0,3).</span>
