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Aneli [31]
4 years ago
6

Find the value of x. Round to the nearest tenth of a unit. Both 9 and 10 please.

Mathematics
1 answer:
Anestetic [448]4 years ago
3 0
Problem 9
By definition,
tan 22^{o} =  \frac{203}{x} \\ 0.404 =  \frac{203}{x}  \\ x =  \frac{203}{0.404}= 502.44

Answer: 502.4 m

Problem 10
From geometry, the angle opposite x is 27°.
By definition,
sin 27^{o} =  \frac{x}{580} \\ 0.454 =  \frac{x}{580} \\ x=(580)(0.454)=263.32


Answer: 263.3 yd

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Which of the following expressions is equivalent to y^-3?
Jet001 [13]

Answer:

the answer is 1/y^3

Step-by-step explanation:

when ever there is an negative exponent you flip it and put the base and exponent in a fraction under 1 hope this helps

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The functions f(x) = (x + 1)2 − 2 and g(x) = −(x − 2)2 + 1 have been rewritten using the completing-the-square method. Apply you
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Answer:

f(x)=(x+1)^2-2 is the minimum and g(x)=-(x-2)^2+1 is the maximum

Step-by-step explanation:

Looking at the graph, (you should be able to graph this) the parabola for f(x)=(x+1)^2-2 is pointing downwards and stops at the vertex. This vertex is negative which is the lowest point possible which makes it the minimum. The parabola for -(x-2)^2+1 is pointing upwards and stops at the vertex which is the highest point possible which makes it the maximum.

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4,900 principal earning 3% compounded annually after 5 years
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Step-by-step explanation:

6 0
3 years ago
The sum of three integers is 280. The sum of the first and second integers exceeds the third by 34. The third integer is 30 less
omeli [17]

Answer:

The sum of three integers is 280.

a + b + c = 280

;

The sum of the first and second integers exceeds the third by 70.

a + b = c + 70

:

the third integer is 21 less than the first.

c = a - 21

:

Rearrange the 2nd equation and use elimination with the 1st equation

a + b + c = 280

a + b - c = 70

------------------subtraction eliminates a & b, find c

0 + 0 + 2c = 210

c = 210/2

c = 105

then

105 = a - 21

a = 105 + 21

a = 126

Find b using the 1st equation

126 + b + 105 = 280

b = 280 - 231

b = 49

:

:

See if that checks out

126 + 49 + 105 = 280

:

the three integers. 126, 49, 105

6 0
3 years ago
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