Answer:
Step-by-step explanation:
h^2=x^2+y^2, since this is a square x=y=s so
220^2=2s^2
2s^2=48400
s^2=24200
s=24200^(1/2)m (exact)
s=155.56m (rounded to nearest hundredth of a meter)
One hectare is equal to 10000m^2
A=24200m^2(h/10000m^2)
A=2.42 hectares
Answer:
Step-by-step explain
Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :
A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)
If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.
For the given function, there is no horizontal asymptote.
We can find the slant asymptote by using long division:
(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))
The slant asymptote is y=3/2x+3/4
Answer:
Step-by-step explanation:
X + X + 96 = 180 {SUM OF ANGLES OF TRIANGLE}
2X + 96 = 180
2X = 180 -96
2X =84
X = 84/2
X = 42
Yvette wants to earn a profit of $360, then. That means she has to make a total of $480. 480 divided by 18 is 26 and 2/3. That basically rounds up to $26.67.
480 = 18x
360 = 18x - 120
120(3) = 18x - 120
(I'm not that good at this, so don't take my word for it)
Answer:
B
Step-by-step explanation:
Consider all options:
A. Transformation with the rule

is a reflection across the x-axis.
Reflection across the x-axis preserves the congruence.
B. Transformation with the rule

is a dilation with a scale factor of
over the origin.
Dilation does not preserve the congruence as you get smaller figure.
C. Transformation with the rule

is a translation 6 units to the right and 4 units down.
Translation 6 units to the right and 4 units down preserves the congruence.
D. Transformation with the rule

is a clockwise rotation by
angle over the origin.
Clockwise rotation by
angle over the origin preserves the congruence.