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2 years ago

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Mathematics

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aniked [119]2 years ago

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Given isosceles trapezoid TRHY, in units what is the length of b2 if the height is 13 units, b1 is 21 units, and the area is 215

GenaCL600 [577]

We are given a trapezoid TRHY.

Height of the trapezoid = 13 units.

b1 = 21 units and

Area = 215 units squares.

We need to find the length of b2.

We know formula for area of a trapezoid.

$A= \frac{1}{2} (b1+b2)\times h$

Plugging values in formula.

215 = $\frac{1}{2}$ (21+b2)× 13.

215 = 6.5(21+b2)

Dividing both sides by 6.5, we get

$\frac{215}{6.5}=\frac{6.5(21+b2)}{6.5}$

33.08 = 21+b2.

Subtracting 21 from both sides, we get

33.08-21 = 21-21+b2

b2 = 12.08.

<h3>Therefore, length of b2 is 12.08 units.</h3>

4 0

3 years ago

Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (

Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

$P(\frac{T}{S}) = 0.95$

$P(\frac{T}{S^c}) = 0.05$

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

$P(S^c) = 1 - P(S)$

= 1 - 0.3

= 0.7

ii. $P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}$

$= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }$

$= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}$

= 0.8906

iii. $P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}$

$= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }$

$= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}$

= 0.0221

We simply applied the above formulas so that the each part could come

8 0

2 years ago

Use geometry software to create a visually interesting or artistic design that incorporates elements you have learned in this co

yanalaym [24]

Use TrianCal to draw a triangle with phi as Great Piramid (minimum perimeter given 2 equal heights) = maximun stability.

NOTE: Phi=(1+√5)/2≈1.62 and acos(1/Phi)≈51.83º

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3 years ago

Find the solutions to 9x^2-54x=0

astra-53 [7]

Answer:

x₁ = 0

x₂ = 6

Step-by-step explanation:

9x² - 54x = 0

9x(x - 6) = 0

x(x - 6) = 0

x = 0

x - 6 = 0 → x = 6

Hope this helps! :)

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3 years ago

Read 2 more answers

Simplify (x2y)3.<br><br> x2y3<br> x5y3<br> x6y3

Andrews [41]

Answer:

3x2^y

Step-by-step explanation:

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2 years ago