Answer:
x = 12
Step-by-step explanation:
42 + 4x = 90 ( as it is right angle)
transpose to find x
4x = 90 - 42
4x = 48
x = 48/4
x = 12
Answer:
16cats and 19 birds
Step-by-step explanation:
if we say that x is birds and y is cats we can say that:
4.5x+8.5y=221.5 ( the amount birds and cat both need)
y+x =35 (number of cats and cats)
x=35-y
4.5(35-y) +8.5y= 221.5
157.5-4.5y +8.5y =221.5
4y=64
y= 16
16+x=35
x=19
Answer:
1 + 2sqrt(3)/3
Step-by-step explanation:
tan(30) = sqrt(3)/3
sin(90) = 1
tan(60) = sqrt(3)
cot(60) = 1/sqrt(3) = sqrt(3)/3
sqrt(3)/3 + 1 + sqrt(3)/3
1 + 2sqrt(3)/3
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Answer:
-3x^4 - 13x^3 + 14x - 7
Step-by-step explanation:
(5x^4 – 9x^3 + 7x – 1) + (-8x^4 + 4x^2 – 3x + 2) - (-4x^3 + 5x - 1)(2x – 7)
simplify multiplied terms
(-4x^3 + 5x - 1)(2x – 7)
(-4x^3+10x-8)
group like terms together
(5x^4-8x^4) + (-9x^3-4x^3) + (7x-3x+10x) + (-1+2-8)
simplify grouped terms
-3x^4 - 13x^3 + 14x - 7
