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3 years ago

If TU = S + 22 and VX = s, what is the value of s?

Mathematics

2 answers:

yuradex [85]3 years ago

4 0

Answer:

s is 22

Step-by-step explanation:

Notice that we are dealing with two similar triangles (UTW and XVW) which have the characteristic that the sides of the larger one are twice the size of the smaller triangle's sides. TW = 2 XW, UW = 2 VW, and therefore TU = 2 VX

then we use the expressions they gave us for TU and for VX in the equation above:

TU = 2 VX

s + 22 = 2 * s

subtract s from both sides:

22 = 2 s - s

22 = s

Therefore, s is 22.

Elodia [21]3 years ago

3 0

Answer:

nose no eh visto ese tema

Step-by-step explanation:

nose no eh visto ese tema

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Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

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4 years ago

A four pack of batteries cost 5.16 at this price what is the cost of

Genrish500 [490]

Answer:

1.29 for 1 pack

Step-by-step explanation:

5.16/4=1.29

7 0

3 years ago

A hose filling a pool discharges water at a rate of 4L per minute. How long in hours does it take to fill a pool with a 300L cap

zimovet [89]

Answer:

no se de que hablas

Step-by-step explanation:

hablas español o no

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3 years ago

The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) a

Genrish500 [490]

The probability is 0.2743.

Calculating the z-score for this time, we have:

z = (X-μ)/σ
z = (96-90)/10 = 6/10 = 0.6

Using a z-table (http://www.z-table.com) we see that the area to the left of this, less than this score, is 0.7257. This means the area greater than this would be 1-0.7257 = 0.2743.

6 0

4 years ago

Read 2 more answers

Coefficient of b in expansion of (3+b)^4

Margarita [4]

Are you sure you want ONLY the coefficient of b? If you expand this, you will have b in 3 of 4 terms.

According to Pascal's Triangle, the coefficients of (a+b)^4 are as follows:

1
1 2 1
1 3 3 1
1 4 6 4 1

So (a+b)^4 would be 1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4

Here, you want (3 + b)^4. Here's what that looks like:

3^4 + 4[3^3*b] + 6[3^2*b^2] + 4[3*b^3] + 1[b^4]

Which coeff did you want?

4 0

3 years ago