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Effectus [21]
3 years ago
8

△PQR is dilated by a scale factor of with center , then translated 4units left and 3 units down. Construct the transformed trian

gle △P′Q′R′ and label
the coordinates of the vertices.

Mathematics
2 answers:
Sidana [21]3 years ago
7 0

Answer: 45.78...

  cant

balu736 [363]3 years ago
4 0

Step-by-step explanation:

45.78

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A billboard designer has decided that a sign should have 3 ft margins at the top and bottom and 5 ft margins on the left and rig
elixir [45]

Answer:

The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is 9000 ft^2 then 9000=xy

Step-by-step explanation:

• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.

• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)]  by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

& 9000=xy

& y=\frac{9000}{x} \\  & A=(x-10)(y-6) \\  & A=xy-6x-10y+60 \\  & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\  & A=9060-6x-\frac{9000}{x} \\

On taking the first order derivative of A

\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]

& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\          & 6{{x}^{2}}=90000 \\          & x=\sqrt{15000} \\          & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\

• Hence \[x=10\sqrt{150}\] and \[y=\frac{900}{\sqrt{150}}\]

Learn More about Differentiation Here:

brainly.com/question/13012860

7 0
3 years ago
Read 2 more answers
The product of two exponentail expressionss is x5 y2 z. One of the expressions is x2 y. What is the other expression?
Yakvenalex [24]
I hope this helps you



x^5.y^2.z/x^2.y


x^5-2.y^2-1.z


x^3.y.z
8 0
3 years ago
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a major metroplitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers. they aske
Arisa [49]

Answer:

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1600, \pi = 0.4

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.3685

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.4315

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

7 0
3 years ago
Given three collinear points, find the missing x or y value to the nearest hundredth. (x, 0.8), (15, -0.4), (-4, 2.9)
grin007 [14]

Answer:

kainis nman pareho tau walang sumagot sa tanong nating dalwa

7 0
3 years ago
QUICK:WILL GET 20 POINTS & BRAINLIEST- Compare and Contrast the incenter and the circumcenter of triangles in detail?
kvasek [131]

Answer:

A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.

Step-by-step explanation:

4 0
3 years ago
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