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Karo-lina-s [1.5K]
2 years ago
13

Find the graph of the inequality y>-(1/6)x+1.

Mathematics
1 answer:
Leya [2.2K]2 years ago
4 0

Answer:

y > -x/6 + 1

Step-by-step explanation:

Hope this can help

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Evaluate the expression<br> cos(30°)=
alina1380 [7]

Answer:

cos (30) =\sqrt{\frac{3}{2} } =0.8660

Step-by-step explanation:

By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.

cos(30°) = √1 – sin230°

The value of sin30° is 1/2 (Trigonometric Ratios)

cos(30°) = √1 – (1/2)2

cos(30°) = √1 – (1/4)

cos(30°) = √(1 * 4 – 1)/4

cos(30°) = √(4 – 1)/4

cos(30°) = √3/4

Therefore, cos(30°) = √3/2

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2 years ago
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Find the equation of a line that is perpendicular line to y = 10x - 45 and goes through (1, 1).
Airida [17]

The line y = 10x - 45 is already written in the y = mx+q form. This means that m is the slope. If two lines are perpendicular, their slopes are the anti-inverse of each other, i.e. their product is -1.

So, our perpendicular line has a slope of -\frac{1}{10}

Finally, we want a line passing through (1,1) with slope -\frac{1}{10}:

y-1 = -\dfrac{1}{10}(x-1) \iff y = -\dfrac{x}{10} + \dfrac{1}{10}+1 = -\dfrac{x}{10} + \dfrac{11}{10}

7 0
3 years ago
An evil supervillian has launched a drone from his/her submarine. The drone's height, in meters above sea level, as a function o
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Answer:

the maximum height is 1054.500 meters

Step-by-step explanation:

h ( t ) = − 4.9t^2 + 133t + 152

a= -4.9 , b= 133  and c= 152

To find maximum height , we find vertex

x= \frac{-b}{2a}=\frac{-133}{2(-4.9)}= 13.5714

Now plug in 13.5714 for 't' in h(t)

h(t) =-4.9t^2 + 133t + 152

h(t)=-4.9( 13.5714)^2 + 133( 13.5714)+ 152=1054.500

the maximum height = 1054.500 meters

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3 years ago
Mary bought 176 flowers for 4 vases. How many flowers are needed for 7 vases?
Doss [256]

She planned to have 44 flowers per vase (176/4). 7 vases would mean 308 flowers.

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2 years ago
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