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konstantin123 [22]
3 years ago
11

Write an algebraic expression half the quantity of X plus Y?

Mathematics
1 answer:
damaskus [11]3 years ago
5 0
It could be: X • 1/2 + Y
Or: X/2 + Y
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A rectangular poster is to contain 722 square inches of print. the margins at the top and bottom of the poster are to be 2 inche
Delvig [45]
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need to minimize the area A=x*y

we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2

so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4

find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]

for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in

(y)=[722/(x-4)]+2

y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in

the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in

6 0
3 years ago
How many meters are equal to 5,253 centimeters?
Arte-miy333 [17]

Answer:

52,530 centimeters

Step-by-step explanation:

<u>Step 1:  Convert Meters into Centimeters</u>

1 meter = 100 centimeter

5253 * 100 = 52,530 centimeters

Answer:  52,530 centimeters

3 0
3 years ago
The height of a person in a scale drawing is 4 inches. The person's actual height is 64 inches.
Mariana [72]
I assume you're asking for the scale? It would be 4:64, which simplifies to 1:16.
8 0
3 years ago
Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a
SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = 99.97\ m\approx 100\ m

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}

where \theta represents the angle of reference.

Plugging in the values from the triangle.

\tan 35\° =\frac{BC}{AC}

\tan 35\° =\frac{70}{AC}

Multiplying both sides by AC.

AC\times \tan 35\° =AC\times \frac{70}{AC}

AC\times \tan 35\° =70

Dividing both sides by \tan 35\°

\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}

∴ AC=99.97\ m\approx 100\ m

The distance you are from the base of plateau = 99.97\ m\approx 100\ m

7 0
3 years ago
Y=-2(x+5)^2-30 In standard form
Trava [24]

Answer:

y = -2 ( (x^2) + (2*x*5) + (5^2)) - 30

y = -2 ( x^2 + 10x + 25) - 30

y = -2x^2 - 20x - (2*25) - 30

y = -2x^2 - 20x - 50 - 30

y = -2x^2 - 20x - 80

3 0
3 years ago
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