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3 years ago

Sixty-three is 90% of what number?

Mathematics

1 answer:

suter [353]3 years ago

5 0

It is indeed 70, you divid 63 by 90 and your answer should be .07 so if you add that to your starting 63 you get 70

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Angle 8 and Angle 3 are supplementary same side angles

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2 years ago

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You are designing a rectangular poster to contain 7575 in2 of printing with a 33-in margin at the top and bottom and a 11-in m

erma4kov [3.2K]

Answer:

The dimensions of the rectangular poster is 15 in by 5 in.

Step-by-step explanation:

Given that, the area of the rectangular poster is 75 in².

Let the length of the rectangular poster be x and the width of the rectangular poster be y.

The area of the poster = xy in².

$\therefore xy=75$

$\Rightarrow y=\frac{75}{x}$ ....(1)

1 in margin at each sides and 3 in margin at top and bottom.

Then the length of printing space is= (x-2.3) in

=(x-6) in

The width of printing space is = (y-2.1) in

=(y-2) in

The area of the printing space is A =(x-6)(y-2) in²

∴ A =(x-6)(y-2)

Putting the value of y

$\Rightarrow A =(x-6)(\frac{75}{x}-2)$

$\Rightarrow A = 87-\frac{450}{x}-2x$

Differentiating with respect to x

$A '= \frac{450}{x^2}-2$

Again differentiating with respect to x

$A''=-\frac{900}{x^3}$

To find the minimum area of printing space, we set A' = 0

$\therefore \frac{450}{x^2}-2=0$

$\Rightarrow 450 =2x^2$

$\Rightarrow x^2=225$

$\Rightarrow x=\pm 15$

Now putting x=±15 in A''

$A''|_{x=15}=-\frac{900}{15^3}$

$A''|_{x=-15}=-\frac{900}{(-15)^3}=\frac{900}{(15)^3}>0$

Since at x=15 , A"<0 Therefore at x=15 , the area will be minimize.

From (1) we get

$y=\frac{75}{x}$

Putting the value of x

$y=\frac{75}{15}$

=5 in

The dimensions of the rectangular poster is 15 in by 5 in.

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2 years ago

1)<br> 0.1.x - 0.006 = 0.08.x + 0.134

skad [1K]

Answer:

x=7

Step-by-step explanation

left part + 0.006 = right part + 0.006

----> 0.1x = 0.08x+0.14

left part -0.08x =right part - 0.08x

----> 0.02x=0.14

x=7

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2 years ago

What is true of the type of angle in this lesson? It measures half the sum of the arc it intercepts. It measures twice the sum o

Karolina [17]

Answer:

Step-by-step explanation:

Answer: it is C because it is true of the type of angle in this lessonc. It measures half the difference of the arcs it intercepts.

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2 years ago

A store is advertising that it offers a 14% discount had on everything purchased at the store. When Aiza (آئزہ) had paid $670.80

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Answer:

780

Step-by-step explanation:

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2 years ago