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jeyben [28]
2 years ago
12

Polygon ABCDE has the vertices A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6). Polygon MNOPQ has the vertices M(-2, 8), N(-4

, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
A transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ is a
The length of the wooden plank is meters. How many -meter pieces can Joe saw from the wooden plank?
Mathematics
1 answer:
Leto [7]2 years ago
9 0
A transformation that can be performed on polygon ABCDE is a reflection over the y-axis.
The image of a polygon by a reflection its mirror image. The reflected image has the same size as the original.
It means that polygon ABCDE is congruent to polygon MNPQ.
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The potential energy, P, in a spring is represented using the formula P = A equals StartFraction one-half EndFraction b h.kx2. L
Dimas [21]

Answer:

k = 2Px2

Step-by-step explanation:

4 0
2 years ago
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What is the total price of a $45.79 item when 7% sales tax is added?
lesya692 [45]
You find 7% of $45.79 and then add that on to $45.79
7% of $45.79 = $3.21
45.79 + 3.21 = 49
The new price is $49
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During the 2015-16 NBA season, J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 . Assume th
ser-zykov [4K]

Answer: 0.5898

Step-by-step explanation:

Given :  J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 .

We assume that,

The probability that .J. Redick makes any given free throw =0.901  (1)

Free throws are independent.

So it is a binomial distribution .

Using binomial probability formula, the probability of getting success in x trials :

P(X=x)^nC_xp^x(1-p)^{n-x}

, where n= total trials

p= probability of getting in each trial.

Let x be binomial variable that represents the number of a=makes.

n= 14

p= 0.901     (from (1))

The probability that he makes at least 13 of them will be :-

P(x\geq13)=P(x=13)+P(x=14)

=^{14}C_{13}(0.901)^{13}(1-0.901)^1+^{14}C_{14}(0.901)^{14}(1-0.901)^0\\\\=(14)(0.901)^{13}(0.099)+(1)(0.901)^{14}\ \ [\because\ ^nC_n=1\ \&\ ^nC_{n-1}=n ]\\\\\approx0.3574+0.2324=0.5898

∴ The required probability = 0.5898

5 0
2 years ago
When plucked, the high E string on a guitar has a frequency of 330 cycles per second. What sine function represents this note wh
Ber [7]

Let's analyse the function

y = f(x) = A\sin(\omega x)

The amplitude is A, so we want A=1.5

Now, we start at x=0, and we have 1.5\sin(0)=0

After one second, i.e. x=1, we want this sine function to make 330 cycles, i.e. the argument must be 330\cdot 2\pi

So, we have

f(1)=1.5\sin(\omega) = 1.5\sin(660\pi)

so, the function is

f(x) = 1.5\sin(660\pi x)

4 0
2 years ago
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One of the sides of a parallelogram is 4.2 cm and the altitude to that side is 3.6 cm. Find the perimeter of the parallelogram i
dexar [7]

Area of parallelogram = base * height
base 1 = 4.2 cm
height 1 = 3.6 cm
∴ Area = 4.2 * 3.6 = 15.12

let the other base 2 = x
∴ the altitude of this base = height 2 = 2.4
∴Area = 2.4 x = 15.12
Solve for x
                 ∴ x = 6.3 cm

∴ The perimeter of parallelogram = 2( base 1 + base 2)
                                                      = 2 ( 4.2 + 6.3 ) = 21 cm



7 0
2 years ago
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