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3 years ago

Solve for x -1= √2x-3

Mathematics

1 answer:

kramer3 years ago

7 0

Answer:

x=1.414213

Step-by-step explanation:

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Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground

Scorpion4ik [409]

Answer:

$125.4\ \text{m/s}$

Step-by-step explanation:

u = Initial velocity of baseball

$\theta$ = Angle of hit = $30^{\circ}$

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

$y_0$ = Height of hit = 2.5 ft

$a_y$ = g = Acceleration due to gravity = $32.2\ \text{ft/s}^2$

t = Time taken

Displacement in x direction

$x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}$

Displacement in y direction

$y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}$

The minimum initial velocity needed for the ball to clear the fence is $125.4\ \text{m/s}$

5 0

3 years ago

A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie

maksim [4K]

The patient is recommended to take 24 ounces of coffee per day.

<u>Step-by-step explanation:</u>

Patient normal intake of coffee daily = 5 times 12 ounces

= 5 × 12 = 60 ounces

Doctor recommends to cut off 60 % of the normal intake of coffee.

And advised to take only 40 % of the daily intake of coffee.

So 60 % of 60 ounces can be calculated as,

$$\frac{60 \times 60}{100}$ = 36 ounces

40 % of 60 ounces is 24 ounces.

So 60 - 36 = 24 ounces of coffee per day

6 0

3 years ago

When my mother buys washing powder she pays R45,65 for a 3kg bag hkw much does she pay for 1kg

V125BC [204]

To solve this divide 4565 by 3.

7 0

3 years ago

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10 times 100 fhg[';g;8utfdkibjlif

adoni [48]

Answer:

1,000 nmvfdmld

Step-by-step explanation:

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3 years ago

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Inscribed angles math lib <br> Need help with 9 and 10 thank you!!

telo118 [61]

Answer:

54° and 110°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°

(9)

19x - 26 + 7x - 2 = 180

26x - 28 = 180 ( add 28 to both sides )

26x = 208 ( divide both sides by 26 )

x = 8

Then

∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°

(10)

21x - 33 + 14x + 3 = 180

35x - 30 = 180 ( add 30 to both sides )

35x = 210 ( divide both sides by 35 )

x = 6

Then

∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°

The inscribed angle YVW is half the measure of its intercepted arc YW, so

arc YW = 2 × 87° = 174°, then

arc XW = 174° - 64° = 110°

8 0

3 years ago