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Phantasy [73]
3 years ago
15

Find the missing length of the longer leg in the 30° – 60° – 90° triangle. short leg = 3

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

3 root 3

Step-by-step explanation:

in a 30 60 90 degree triangle the side lengths are always in the ratio 1 2 and root 3

if the shortest leg is 3

that means the other legs ar

6 and 3 root 3

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Answer:

-4.67

Step-by-step explanation:

first find f^-1(x)

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Therefore f^-1(x)=x-2/3

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3 years ago
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Aleksandr [31]

Answer:

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Step-by-step explanation:

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 \frac{d}{dt} \int\limits^t_0 {\sqrt[8]{u^3} } \, du

The integral itself can be evaluated by writing the root and exponent of the variable u as:   \sqrt[8]{u^3} =u^{\frac{3}{8}

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which evaluated between the limits of integration gives:

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and now the derivative of this expression with respect to "t" is:

\frac{d}{dt} (\frac{8}{11} t^\frac{11}{8})=\frac{8}{11}\,*\,\frac{11}{8}\,t^\frac{3}{8}=t^\frac{3}{8}

b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:

"If f is continuous on [a,b] then

g(x)=\int\limits^x_a {f(t)} \, dt

is continuous on [a,b], differentiable on (a,b) and  g'(x)=f(x)

Since this this function u^{\frac{3}{8} is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:

\frac{d}{dt} \int\limits^t_0 {u^\frac{3}{8} } } \, du=t^\frac{3}{8}

5 0
3 years ago
The sum of j and 7 is 55. Solve for j.??
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J = 48 bc 48 + 7 = 55
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