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3 years ago

How do i draw isosceles trapezoid with vertical and horizontal congruent sides?

Mathematics

1 answer:

kirza4 [7]3 years ago

4 0

Congruent means that they are same so an isosceles is a figure with same sizes

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As Devine rides her bike, she picks up a nail in her front tire. The height, h, of the nail from the ground as she rides her bik

irinina [24]

Step-by-step explanation:

a) The diameter of the wheel is the distance between the minimum and maximum. In other words, it's double the amplitude.

d = 2 × 14 = 28.

b) The period of the wave is:

720 = 2π / T

T = π/360

So the time for 3 revolution is:

3T = π/120

3T = 0.026 seconds

c) The minimum here is when cosine = 1.

h(t) = -14(1) + 14

h(t) = 0

This makes sense, since the minimum height is when the nail is at the bottom of the wheel, or at the ground.

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4 years ago

The ____ in the hundreds place has a value___ tines as great as the ___ in the ___ place. What is the relationship between the v

Nutka1998 [239]

<span>The 4 in the hundreds place has a value400 tines as great as the 0 in the ones place.</span>

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3 years ago

A rockets speed is 2 1/3 miles per second. How fast is this in miles per hour?

zaharov [31]

1 hour = 60 min = 3600 sec
so 1 mile/sec = 1 mile/(1/60) min = 1 mile/(1/3600)hr = 3600 mile/hr

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3 years ago

Read 2 more answers

Collect like terms 5 p 2 − p 2

valentinak56 [21]

Answer:

Step-by-step explanation:

Collect like terms 5p² − p²

$5p² − p² \\ 4p^{2} \\ \sf \: 4 \blue{\cancel{p^{2} }} - \blue{\cancel{p^{2} }} \\ 4p$

#CarryOnLearning

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3 years ago

Read 2 more answers

(a) A parachutist lands at a point on the line between the points A and B, and the target is an operation at A. The operation fa

mr Goodwill [35]

Answer:

a) $\frac{B-\frac{A+5B}{6}}{B-A}= \frac{6B -A-5B}{6(B-A)}=\frac{B-A}{6(B-A)}=\frac{1}{6}$

b) $P(X>1) = 1-P(X\leq 1)=1-\int_{0}^1 \frac{1^{2} x^{2-1} e^{- x}}{\gamma(2)}=0.736$

Step-by-step explanation:

Part a

We assume that the parachutist lands at random point in the interval (x=A,y=B) we have a continuous random variable X. And the distribution of X would be uniform $Y\sim Unif(A,B)$ . And the density function would be given by:

$f(x) =\frac{1}{B-A} , A$

And 0 for other case.

The operation fails, if parachutist's distance to A is more than five times as much as her distance to B.

So the point P in the interval (A,B) at which the distance to A is exactly 5 times the distance to B is given by:

$P= A + \frac{5}{6} (B-A)= \frac{6A +5B -5A}{6}=\frac{A+5B}{6}$

And we can find the probability desired like this:

$P(d(P,A) \geq 5 d(P,B))= P(\frac{A+5B}{6} < X< B)$

And from the cumulative distribution function of X ficen by $F(X)\frac{X-A}{B-A}$ we got:

$\frac{B-\frac{A+5B}{6}}{B-A}= \frac{6B -A-5B}{6(B-A)}=\frac{B-A}{6(B-A)}=\frac{1}{6}$

Part b

For this case we assume that $X\sim Gamma (2,1)$

On this case we assume that $\alpha=2, \beta= 1$

The density function for the Gamma distribution is given by:

$P(X)= \frac{\beta^{\alpha} x^{\alpha-1} e^{-\beta x}}{\gamma(\alpha)}$

And on this case we can find the probability using the complement rule like this:

$P(X>1) = 1-P(X\leq 1)=0.736$

We can solve this problem with the following excel code:

"=1-GAMMA.DIST(1;2;1;TRUE)"

And if we do it by hand we need to do this:

$P(X>1) = 1-P(X\leq 1)=1-\int_{0}^1 \frac{1^{2} x^{2-1} e^{- x}}{\gamma(2)}=0.736$

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3 years ago