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Crazy boy [7]
3 years ago
9

I need help y = 20x + 40 y = 30x + 10

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0
If I’m not mistaken y=3
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What is the height of a triangle if the base is 60 and the hypotenuse is 61?
lions [1.4K]

Assuming that the triangle is a right triangle, we can reverse engineer the Pythagorean theorem (a^2+b^2=c^2).

60^2 + x^2 = 61^2

3600 + x^2 = 3721

x^2 = 3600 - 3721

x^2 = 121

x = sqrt121

x = 11

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3 years ago
Help Please! Find The Circumference Of A Circle With D=22.1.
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Answer:

72.25663

Step-by-step explanation:

C=2πr=2·π·11.5≈72.25663

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Use Cramer’s Rule to solve system of equation.
alisha [4.7K]

\left\{\begin{array}{ccc}5x+2y=4\\3x+4y+2z=6\\7x+3y+4z=29\end{array}\right\\\\A=\left[\begin{array}{ccc}5&2&0\\3&4&2\\7&3&4\end{array}\right]\\\\\det A=5\cdot4\cdot4+3\cdot3\cdot0+2\cdot2\cdot7-7\cdot4\cdot0-3\cdot2\cdot5-3\cdot2\cdot4=54\\W_x=\left[\begin{array}{ccc}4&2&0\\6&4&2\\29&3&4\end{array}\right]\\\det W_x=4\cdot4\cdot4+2\cdot2\cdot29+6\cdot3\cdot0-29\cdot4\cdot0-3\cdot2\cdot4-6\cdot2\cdot4=108

W_y=\left[\begin{array}{ccc}5&4&0\\3&6&2\\7&29&4\end{array}\right]\\\det W_y=5\cdot6\cdot4+3\cdot29\cdot0+4\cdot2\cdot7-7\cdot6\cdot0-29\cdot2\cdot5-3\cdot4\cdot4=-162\\W_z=\left[\begin{array}{ccc}5&2&4\\3&4&6\\7&3&29\end{array}\right]\\\det W_z=5\cdot4\cdot29+3\cdot3\cdot4+6\cdot2\cdot7-7\cdot4\cdot4-3\cdot6\cdot5-3\cdot2\cdot29=324\\\\x=\dfrac{\det W_x}{\det A}=\dfrac{108}{54}=2\\\\y=\dfrac{\det W_y}{\det A}=\dfrac{-62}{54}=-3\\\\z=\dfrac{\det W_z}{\det A}=\dfrac{324}{54}=6

5 0
3 years ago
Write the number 2.4 in the form a divided by b, using integers, to show that it is a rational number.
nadezda [96]
2.4= 2 4/10 which simplifies to 2 2/5
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3 years ago
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