<span>Hypotenuse = 26 mm </span>
1st Leg = 10 mm
Other Leg = x.
By Pythagoras Theorem:
x² + 10² = 26²
<span>x² + 100 = 676 </span>
x² = 676 - 100
x² = 576
x = √576
x = 24
<span>The other leg is 24 mm</span>
Answer:
The answer is B and D.
Step-by-step explanation:
I got it wrong and these we’re correct.
Answer:
The x-intercept of the line is the point (12,0)
Step-by-step explanation:
step 1
Find the slope of the lime
Take the points
(22,36) and (32,72)
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in point slope form

we have

substitute

step 3
Find the x-intercept
we know that
The x-intercept of a line is the value of x when the value of y is equal to zero
so
For y=0
substitute in the equation and solve for x





therefore
The x-intercept of the line is the point (12,0)
Answer:
The function that represents the average cost in dollars of saleable software CD is given as follows;
f(x) = 500,020/x + 0.10
Step-by-step explanation:
The given parameters are;
The cost of manufacture of each software CD = $0.10
The development cost to produce the CD = $500,000
The number of CDs that are not sold = The first 200 CDs
The total cost of production. 'C', of the the CD is given as follows;
C = $500,000 + $0.10×200 = $500,020
The function, 'f' for the average cost in dollars of a saleable software CD where 'x' is the number of saleable software CDs is given as follows;
f(x) = (C + 0.10·x)/x = C/x + 0.10
∴ f(x) = 500,020/x + 0.10.
Answer:
<3=75°
Step-by-step explanation:
Angle 3 and angle 2x+95 are supplementary( supplementary angles add up to 180°)
So <3+2x+95=180
<3+2x=180-95
<3+2x=85( let's call this equation 1)
Next, angle 5 and angle 8x+71 are opposite angles (opposite angles are equal) therefore <5=8x+71
Now, <3 and <5 are co-interior angles(co-interior angles are supplementary)
So <3+8x+71=180
<3+8x=180-71=109
Thus, <3+8x=109(let's call this equation 2)
Now solving equation 1 and 2 simultaneously:
Make <3 the subject of equation 1
<3=85-2x
Put <3=85-2x into equation 2
85-2x+8x=109
6x=24
x=24/6=4
Now, remember that angle 2x+95 becomes
2(4)+95
8+95=103°
Therefore<3=180-105=75°