Answer:
Step-by-step explanation:
x has the same value as RT since they are equal sides of the isosceles triangle.
RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.
Acoording to the property of such triangles, the ratio of sides is:
We have:
Use the ratio to find the lenght of RT
- 2√3 : RT = √3 : 2
- RT = 2*2√3/√3
- RT = 4
So the value of x is 4 units
Basically you know that they are 2 consecutive numbers whose product is 1980.
<span>n*(n+1)=1980 </span>
<span>n^2 + n - 1980 = 0 </span>
<span>(n -44)(n + 45)= 0 </span>
<span>n=44 </span>
<span>so the 2 page numbers is 44 and 45. </span>
<span>The faster way is just to take the square root of 1980 and since that is 44.497 you can conclude that the 2 numbers is below and above it (44, 45)</span>
Answer:
0.2 times
Step-by-step explanation:
Saturn: 8.867 × 108 = 957.636
Uranus: 1.787 × 109 = 194.783
You take (Uranus: 194.783)
& you divide it by (Saturn: 957.636)
You should get a funky number like 0.203399830415732 but since they said approximately you only need to use the first 2 (don't forget to round)
That would make Uranus 0.2 times as far from the sun
Answer:
Length is 15 inches
Width is 8 inches
Step-by-step explanation:
A = L*W
the Width = L-7
120 = L (L-7)
120 = L^2-7L
subtract 120 from each side
0 = L^2 - 7L - 120
(L-15) (L +8 )
so L = 15 inches
and W = 15-7 = 8 inches
check your answer: does 15*8 = 120? yes!
