Answer:
x = 26, y = 9
Step-by-step explanation:
Add the bottom equations and set them equal to 180
8x -28 = 180
8x = 208 divide each by 8
x = 26
Find the bottom right, 3(26) - 11
78 - 11 = 67
The unlabeled top left box is also equal to 67 degrees.
So 2y + 5 = 23
2y = 18
y = 9
Answer:
$280
Step-by-step explanation:
Principal = $3,500
Time = 2 Years
Interest Rate = 4%
Interest = Principal x Time x Interest Rate
Interest = $3,500 x 2 x 0.04
Interest = $280
We are given an angle of 60° and a side of 15 cm.
We are given the opposite and is looking for the hypotenuse so we will use the sine ratio to find x.
sin = opp/hyp
hyp = 15 / sin 60
hyp = 17.32...
//
We can also use the tangent ratio to find the adjecent and then use pythagorean to find x.
tan = opp/adj
adj = 15 / tan 60
adj = 8.660.....
8.660....² + 15² = 300²
since the square root of 300 is an irrational number, we have to turn it into a mixed radical.
The answer would be the top one.
Answers:
k = 13The smallest zero or root is x = -10
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Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Answer:
A. 56.78 B. 389.22
Step-by-step explanation:
A.Social security: 498x.062=30.88
medicare: 498x.0145=7.22
state tax: 498x.025=12.45
local tax: 498x.0125=6.23
total of above = 56.78
B. Total taxes above (56.78) + federal withheld (52) = total taxes 108.78
total pay 498 - total taxes 108.78 = 389.22
