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AleksAgata [21]
3 years ago
8

An isosceles trapezoid has bases of 4 and 10. If the base angle is 45 what is the area

Mathematics
1 answer:
Alex3 years ago
8 0
The triangle that the height makes would be a 45-45-90 special right triangle. So the height is 3√2, and to find the area, it would be the average of the bases, 7, multiplied by 3√2. So the area of the trapezoid is 21√2.
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Hope this helps!
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Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75

(b)

Compute the variance of X as follows:

\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083

(c)

Compute the value of P(X < 3.7) as follows:

P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898

Thus, the value of P(X < 3.7)  is 0.4898.

5 0
2 years ago
What is the solution to this equation?
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4 0
3 years ago
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The formula for the area of a circle is A = r 2. Classify the area of a circle with a radius of 0.75 centimeters as either ratio
OlgaM077 [116]
First:The area of a circle is πr squared. Not r2
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6 0
3 years ago
Please help me!! (Look at the photo)
maw [93]

Answer:

310in

Step-by-step explanation:

7×10=70

70×2=140(there are two that are the same length)

5×10=50

50×2=100(there are two that are the same length)

5×7=35

35×2=70(there are two that are the same length)

70+100=170

170+140=310

please let me know if it's correct

4 0
3 years ago
A line has a slope of -2/5 and passes through the point (10,7) . Write the equation of this line in point-slope form, slope-inte
qaws [65]

(\stackrel{x_1}{10}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{-\cfrac{2}{5}}(x-\stackrel{x_1}{10})

6 0
1 year ago
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