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shusha [124]
2 years ago
12

In one area, the lowest angle of elevation of the sun in winter is 20 degrees. Find the distance x that a plant needing full sun

can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary.
Mathematics
1 answer:
statuscvo [17]2 years ago
3 0

Answer:

11.1 feet

Step-by-step explanation:

From the solution triangle attached, the required distance is represented as x ; the value of x can be obtained using trigonometry ;

Cosθ = opposite / Adjacent

Cos 20 = 10.5 / x

x * Cos 20 = 10.5

x = 10.5 / cos 20

x = 11.174 feets

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What are the zeros of this function?
tatyana61 [14]

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3 0
3 years ago
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Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?
bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for x=-6 in the function and simplify the function.

Hence, let us substitute x=-6 in the function, we get,

f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}

Let us apply the rule -\left(-a\right)=a , we get,

f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}

Multiplying the numbers, we get,

f(-6)=\frac{100}{-10+e^{0.6}}

The value of e^{0.6}=1.822

Substituting the value of e^{0.6}=1.822 , we get,

f(-6)=\frac{100}{-10+1.822}

Subtracting the denominator, we have,

f(-6)=\frac{100}{-8.178}

Dividing, we have,

f(-6)=-12.228

Rounding off to the nearest tenth, we have,

f(-6)=-12.2

Thus, the value of f(-6) is -12.2

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Yuliya22 [10]
Let x and y be the rate per hour for Mechanic 1 and 2 respectively.

Then,
x+y=205 ---------- (1)
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10x+15y = 2500 ------ (2)

Solving equations 1 and 2;
Multiply (1) by 10 and subtract two from the result,
10x+10y = 2050
10x +15 y =2500
----------------------
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Then,
x= 205-90 = $115

Therefore,
Mechanic 1 charged $115 per hour
Mechanic 2 charged $90 per hour
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