Answer:
68.338
Step-by-step explanation:
to know how much is less than we have to substract
74.14-5.802=68.338
Answer
Step-by-step explanation:
(15x-8y)=52
180=90+52+x
x=38
System of equations:
15x-8y=52
6x+14y=38
y=-6.5+15/8x
6x+14(-6.5+15/8x)=38
6x-91+26.25x=38
32.25x=129
x=4
15(4)-8y=52
60-8y=52
-8y=-8
y=1
x=4
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
Answer:
°
Step-by-step explanation:
"Theorem 9-13: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs."
Basically no matter what other circle, secant or tangent you get, you just use the formula 
If you need the outer angle, just put the other angles in and solve
If you need the far or near point angle, re-arrange the formula to get that value.
If the total amount of points in a test is 140, and we want to find 10% of those points, we can do the following to figure out how much points the question is worth...
140 points x 10% = 140 x 0.1 = 14 points for the short-answer quesion.
