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Reptile [31]
2 years ago
10

1 Find the exact value of X and Y. F 18 Х X = Y=

Mathematics
1 answer:
lana66690 [7]2 years ago
3 0

Answer:

Step-by-step explanation:

By the geometric mean theorem,

GE=\sqrt{12 \cdot 6}=6\sqrt{2}

So by the Pythagorean theorem,

x=\sqrt{12^{2}-(6\sqrt{2})^{2}}=6\sqrt{2}

y=\sqrt{6^{2}+(6\sqrt{2})^{2}}=6\sqrt{3}

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blondinia [14]
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3 years ago
for an art project you make a square print with a side length of 8 inches. You make a frame using strip of wood 1 1/4 inch wide.
lord [1]

Given that square print has side length = 8 inches

Given that you make a frame using strip of wood 1 1/4 inch wide. Since frame is on both sides of the square print so new side length after adding the frame =1 \frac{1}{4} + 8 + 1 \frac{1}{4} = 10 + \frac{2}{4} = 10 + \frac{1}{2} = 10.5 inches


Area of the square is given by formula = x^2where x is the side of square

Shape of the frame including print will also be square so

Area of the frame including print = 10.5^2 = 110.25 square inches

Area of the print = 8^2 = 64 square inches


We have to find the area of frame only so we can subtract area of print from the total area


Area of frame = [Area of frame including print] - [Area of print]

Area of frame = 110.25-64 = 46.25


Hence final answer is 46.25 square inches


7 0
3 years ago
Graph the solution of the system of linear inequalities.<br> y≤−4x−4<br> y≥x+2
tamaranim1 [39]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y\leq -4x-4 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=-4x-4

The y-intercept of the solid line is -4

The x-intercept of the solid line is -1

The slope of the solid line is negative

y\geq x+2 ----> inequality B

The solution of the inequality B is the shaded area above the solid line y=x+2

The y-intercept of the solid line is 2

The x-intercept of the solid line is -2

The slope of the solid line is positive

The solution of the system of inequalities is the shaded area between the two solids line

see the attached figure

3 0
3 years ago
The math club is selling gift wrap for a funraiser. They sold 45 rolls of soild wrapping paper at $4 each and rolls of patterned
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4 * 45 = 180

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85/5 = 17

They sold 17 rolls of patterned wrapping paper.

7 0
3 years ago
What is Rational Number​
abruzzese [7]
Rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.
8 0
2 years ago
Read 2 more answers
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