Answer:
No.
Step-by-step explanation:
An equilateral triangle is made when all three sides of the triangle are congruent, which means that the angles will also be congruent. A right triangle is defined by its 90° angle. The total angle measures of a triangle add up to 180°. This means that the other two angles have to add up 90° because one measure is already half of 180. Since the measures have to add up to 90, they won't each be equal to 90. This means that the triangle won't be equilateral. (or, you can't have three 90° angles in a triangle because that would pass the 180° measure)
Also, the use of the Pythagorean theorem shows that the sum of the legs squared is equal to the hypotenuse. Thus, the hypotenuse in a right triangle will always be the longest side, which means that it can't be an equilateral triangle.
Answer:
25/20 or 25:20 ( doesn't matter which)
Step-by-step explanation:
Circles :25
triangles :20
Answer:
y=2e^(−x)cosx−e^(−x)sinx
Satisfies the equation
Step-by-step explanation:
Answer:
y=2e^(−x)cosx−e^(−x)sinx
y = e^(-x)[2cosx - sinx]
y': product law
y' = -e^(-x)[2cosx - sinx] + e^(-x)[-2sinx - cosx]
y' = -e^(-x)[2cosx - sinx + 2sinx + cosx]
y' = -e^(-x)[3cosx + sinx]
y" = e^(-x)[3cosx + sinx] - e^(-x)[-3sinx + cosx]
y" = e^(-x)[3cosx - cosx + sinx + 3sinx]
y" = e^(-x)[2cosx + 4sinx]
y" + 2y' + 2y
e^(-x)[2cosx + 4sinx] - 2e^(-x)[3cosx + sinx] +2e^(-x)[2cosx - sinx]
e^(-x)[4sinx - 2sinx - 2sinx + 2cosx - 6 cosx + 4cosx]
= e^(-x) × 0
= 0
Answer:
Samantha's grade was 1.29 standard deviations above the class mean, that is, she scored better than 0.9015 = 90.15% of the class.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
She scored better a proportion of the class given by the p-value of z = 1.29
z = 1.29 has a p-value of 0.9015.
Samantha's grade was 1.29 standard deviations above the class mean, that is, she scored better than 0.9015 = 90.15% of the class.
The square footage without the door and the window is 246