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Mathematics

1 answer:

andreyandreev [35.5K]2 years ago

7 0

Answer:

translation followed by a rotation

Step-by-step explanation:

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Explain why the ratio 3 feet / 1 yard has a value of one

cluponka [151]

Because There are 3 feet in 1 yard, so 3 feet and 1 yard are the same thing, hence a 1:1 ratio.

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2 years ago

What is the inequality of this graph?

Over [174]

Answer: y < 3x -4

Step-by-step explanation:

We know two points of line: (0,-4) and (1,-1)

Therefore, we can find the slope: 3/1.

We know the y intercept.

Dashed line means the inequality is not apart of the region.

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2 years ago

Solve the equation 2cosA = 3tanA

zavuch27 [327]

$\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
\\\\\\
tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\\\\
-----------------------------\\\\

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\\\\\\
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\\\\\\
2-2sin^2(A)=3sin(A)\implies 2sin^2(A)+3sin(A)-2$

$\bf \\\\\\
0=[2sin(A)-1][sin(A)+2]\implies 
\begin{cases}
0=2sin(A)-1\\
1=2sin(A)\\
\frac{1}{2}=sin(A)\\\\
sin^{-1}\left( \frac{1}{2} \right)=\measuredangle A\\\\
\frac{\pi }{6},\frac{5\pi }{6}\\
----------\\
0=sin(A)+2\\
-2=sin(A)
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now, as far as the second case....well, sine of anything is within the range of -1 or 1, so -1 < sin(A) < 1

now, we have -2 = sin(A), which simply is out of range for a valid sine, so there's no angle with such sine

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2 years ago

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2 years ago

Iron has a density of 7.87 g/cm^3. What is the mass of a block of iron that is 2cm x 10cm x 5cm?

Rufina [12.5K]

Answer:

2x10x5

V = 100 cm3

D = 7.87 g/cm3

M = 7.87x100

= 787g

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2 years ago