Answer:
The answer is 7
Step-by-step explanation:
We know than Tan45=1
Tanx=opp/adj
tan45=y/(7
)/2
Thus y=7/2
We know by pythagoras theorem that hyp^2=side^2+side^2
=(
+
=(49(2)/4)+(49(2)/4)
=(49/2)+(49/2)
=(98/2)
=49
x=7
<span>Her monthly allowance is $30.</span>
Answer:
13 and 16.
Step-by-step explanation:
Let the 2 parts be x and y, then:
x + y = 29
x^2 + y^2 = 425
From the first equation y = 29 - x so substituting in second equation, we get:
x^2 + (29 - x)^2 = 425
x^2 + 841 - 58x + x^2 - 425 = 0
2x^2 - 58x + 416
x^2 - 29x + 208 = 0
208 = 2*2*2*2*13
= 16 * 13
So factoring we get:
(x - 13)(x - 16) = 0
x = 13 ,16
So the numbers are 13 and 16.
Answer:
5.4
Step-by-step explanation:
First, you calculate the area of the whole square, then the area of the circle.
Step-by-step explanation:
a, 1/4+2/5=13/20
b,-1/8+1=7/8
c, 4/25×-1/8=-1/50
d, 2×1/9-1/2=2/9-1/2=-5/18
e, 1+2/5-1/4=7/5-1/4=23/20
