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3 years ago

Are the diagnols of the parallelogram perpendicular? why or why not?

Mathematics

2 answers:

laiz [17]3 years ago

6 0

No they are not perpendicular, they bisect each other. They are only perpendicular in a rhombus.

bonufazy [111]3 years ago

5 0

Yes the diagnols of the parallelogram are perpendicular because the angles are perpendicular bisects of each other

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Please. solve the system of equations

Talja [164]

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: (3,2)

Equation form:

x = 3

y = 2

4 0

3 years ago

A students home is 3.25 miles from school. A soda shop is located 900 feet farther down the road from school. What is the total

notka56 [123]

1 mile = 5,280 feet.

Convert the 0.25 mile to feet:

0.25 miles = 0.25 x 5,280 = 1,320 feet.

Add the soda shop distance to this:

1,320 + 900 = 2,220 feet.

Total distance is 3 miles and 2,220 feet

5 0

3 years ago

(W+4)(3w-2) please solveeed

Shkiper50 [21]

Step-by-step explanation:

${:}\longrightarrow$ $\sf (w+4)(3w-2)$

${:}\longrightarrow$ $\sf w(3w-2)+4 (3w-2)$

${:}\longrightarrow$ $\sf 3w^2-2w+12w-8$

${:}\longrightarrow$ $\sf 3w^2+10w-8$

7 0

3 years ago

Read 2 more answers

Wind farm configuration is a significant issue as the upwind turbines generate maximal energy while creating wakes for downwind

lord [1]

Answer:

a) [24.114,29.2858]

b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

Step-by-step explanation:

The 95% confidence interval is given by the interval

$\bf [ \bar x-z^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]$

where

$\bf \bar x$ = 26.7 is the sample mean

s = 17.7 is the sample standard deviation

n = 180 is the sample size

Since the sample size is big enough, we can use the Normal N(0,1) to compute $\bf z^*$ and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))

and our 95% confidence interval is

$\bf [26.7-1.96*\frac{17.7}{\sqrt{180}}, 26.7+1.96*\frac{17.7}{\sqrt{180}}]=\boxed{[24.114,29.2858]}$

(*)

This value can be computed in Excel with

NORMINV(1-0.025,0,1)

and in OpenOffice Calc with

NORMINV(1-0.025;0;1)

Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

7 0

3 years ago

the first term of a geometric progression is 12 and the second term is -6. Find the (i) the tenth term of the progression (ii) t

lesantik [10]

Step-by-step explanation:

a1=ar⁰=12 A2=ar¹=-6

a=12 ar=-6

12r=-6

r=-6/12

r=-1/2

a10=ar⁹

=12*(-1/2)⁹

=12*(-512)

=-3/128

S∞ = a1 / (1-r )

=12/(1-1/2)

=12*1/2

6 0

3 years ago