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3 years ago

Solve: (3w + 4) (2w – 7) = 0

Mathematics

2 answers:

alex41 [277]3 years ago

8 0

W= -4/3 , w= 7/2 or you could try photomath or mathpapa

I am Lyosha [343]3 years ago

6 0

Answer:

w=-4/3, 7/2

Step-by-step explanation:

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A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe

qaws [65]

The projectile's horizontal and vertical positions at time $t$ are given by

$x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t$

$y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2$

where $g=9.8\dfrac{\rm m}{\mathrm s^2}$ . Solve $y=0$ for the time $t$ it takes for the projectile to reach the ground:

$30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s$

In this time, the projectile will have traveled horizontally a distance of

$x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m$

The projectile's horizontal and vertical velocities are given by

$v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ$

$v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt$

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about $\sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}$ .

7 0

3 years ago

Madison wants to order t-shirts for the university which consists of about 12000 students. she takes a random sample to figure o

earnstyle [38]

Answer:

She should order a total of 5,160 medium sized t-shirts

Step-by-step explanation:

To calculate the number of medium sized t-shirt to be ordered, we shall be using the proportion of students that wanted medium sized t-shirt in her survey to multiply the total number of students that we have.

From the question, we can identify that the probability that a student will like a medium sized t-shirt is simply 129/300

Now we have about 12000 students in the University, using the probability from the survey, the number of medium sized t shirt she should order would be;

129/300 * 12,000 = 129 * 40 = 5,160 medium sized t-shirts

8 0

3 years ago

CHECK ANSWERS -

Tju [1.3M]

Both are correct.

Good job!

6 0

3 years ago

Find the area of the triangle be sure to include the correct unit in your answer

Vlad1618 [11]

Answer:

120 cm squared

Step-by-step explanation:

$Area \:of \:the\: triangle \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 24 \\ \\ = 12 \times 10 \\ \\ = 120 \: {cm}^{2}$

7 0

3 years ago

Read 2 more answers

-9/54 - (-12/54)<br><br> What is the answer in fraction form?

Fofino [41]

Answer:

1/18

Step-by-step explanation:

Just go to calculator and write -9÷54-(-12÷54)

5 0

2 years ago