Triangles are similar and only differ in size meaning they are dilated
So first we have to find the scale factor of dilation (by how much the smaller triangle got bigger)
Find scale factor:
2.4a=4.8
z=2
Find x:
we multiply the original side of the small side with the scale factor of 2
2.8(2)=x
5.6=x
So, x=5.6
Answer:
1 / (3 - √x³)
Step-by-step explanation:
∛x = x^1/3
^1/3 means the exponent is 1/3
then the derivative is:
d/dx ∛x = d/dx x~1/3 = 1/3*x~(1/3 - 1) = 1/3 x~-2/3 = 1/3 * (1/√x³)
= 1 / (3*√x³)
Hope it helps.
Answer:
radius = 65 cm
Step-by-step explanation:
(See image attached for better comprehension)
To find the value of the radius, we just need to draw a triangle, where one side is half of the chord (the distance from the chord to the center creates a point that divides the chord in two equal segments), other side is the distance from the chord to the center, and the hypotenusa will be the radius.
So, using Pythagoras' theorem, we have that:
r^2 = 56^2 + 33^2
r^2 = 4225
r = 65 cm
Answer:
$6
Step-by-step explanation:
let x and y be the number of chip and pretzel bags respectively :
4x%2B2y%3 C=20
:
if x=1 then 4%281%29%2B2y%3C=20--->{{2y<=16}}}--->y%3C=8 :
if x=3 then 4%283%29%2B2y%3C=20--->{{2y<=8}}}--->y%3C=4 :
so chips 1 and pretzels 8 :
chips 3 and pretzels 4.
3.2 gallons
You see what you do is you divide 120 by 37.5 and you will get the number of gallons
