Answer:
6.7
Step-by-step explanation:
1^2+1^2= root 2
4^2+7^2 = root 65
1/2*root 2 *(root 65/2) = 2.85*2=5.700877+1
=6.7
Answer: x = 780
Step-by-step explanation: Well <u><em>percent</em></u> means <em>over 100</em> so we can set up an equation for this problem by reading it from left to right.
So we know that <u><em>10%</em></u> means <em>10/100</em>, <u><em>of</em></u> means times, <em><u>what</u></em> <em><u>number</u></em> means <em>x</em>, <u><em>is</em></u> means <em>equals</em>, and <em><u>12</u></em> means 12.
Notice that <em>10/100</em> can be reduced to 1/10.
So rewriting our problem we have <em>X/10 = 78</em>.
To get rid of the fraction, we multiply both sides of the equation by 10 and we have <em>x = 780</em>. So, 10% of 780 is 78.
Now let's check our answer back in the original problem to see if it makes sense.
We have <em>10% of 780 is 78</em>. Well we know that 100% of of 780 would be 780 so 10% of 780 should be alot less than 780 so 78 seems to make sense.
Image provided showing my work.
Answer:
160 in^2.
Step-by-step explanation:
I guess this is a prism with 6 faces so the surface area is:
2 * 8 * 4 + 2 * 8*4 + 2*4*4
= 64 + 64 + 32
= 160 in^2.
<h3>Slope = 10</h3><h3>y intercept at (0,750)</h3><h3>x intercept at (-75, 0)</h3>
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Explanation:
The function f(x) = 10x+750 is the same as y = 10x+750
It is in the form y = mx+b where m = 10 is the slope and b = 750 is the y intercept. So that covers the first two parts of the answer.
The x intercept is found by replacing y with 0, then solving for x like shown below
y = 10x + 750
0 = 10x + 750
10x + 750 = 0
10x = -750 ....... subtract 750 from both sides
x = -750/10 .... divide both sides by 10
x = -75
So x = -75 plugged into the function leads to y = 0
Meaning that x = -75 and y = 0 pair up together to get the point (-75,0) which is the x intercept. This is the location where the line crosses the x axis.