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3 years ago

5(4x-1)-2x=31 what does x equal

Mathematics

2 answers:

Elenna [48]3 years ago

6 0

Answer:

X=2

Step-by-step explanation:

5(4x-1)-2x=31

Distribute the 5

20x-5-2x=31

18x-5=31

18x=31+5

18x=36

When you divide you get 2

Also, Photomath exists, it’s great for math problems

ehidna [41]3 years ago

3 0

20x - 5 - 2x = 31

18x = 36

x = 2

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7. 65 + 75 = 140

180 - 140 = 40

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3 years ago

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Need answer asap!!!!! how would i solve this?

lesya [120]

The height of the building to the nearest tenth of a meter is; 13 m

<h3>How to make use of Cosine Rule?</h3>

The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;

15/x = sin 36°

x = 15/sin 36

x = 25.52 m

Angle between that slant line and base of building is;

90 - tan⁻¹(1.5/14) = θ

θ = 83.88°

Remaining angle of the bigger triangle is;

180 - (36 + 83.88) = 60.12°

Thus, if the height of the building is h, then;

h/sin 36 = 25.52/sin 60.12

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2 years ago

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3 years ago

Integrate the following

enot [183]

I suppose you mean to have the entire numerator under the square root?

$\displaystyle\int_2^4\frac{\sqrt{x^2-4}}{x^2}\,\mathrm dx$

We can use a trigonometric substitution to start:

$x=2\sec t\implies\mathrm dx=2\sec t\tan t\,\mathrm dt$

Then for $x=2$ , $t=\sec^{-1}1=0$ ; for $x=4$ , $t=\sec^{-1}2=\frac\pi3$ . So the integral is equivalent to

$\displaystyle\int_0^{\pi/3}\frac{\sqrt{(2\sec t)^2-4}}{(2\sec t)^2}(2\sec t\tan t)\,\mathrm dt=\int_0^{\pi/3}\frac{\tan^2t}{\sec t}\,\mathrm dt$

We can write

$\dfrac{\tan^2t}{\sec t}=\dfrac{\frac{\sin^2t}{\cos^2t}}{\frac1{\cos t}}=\dfrac{\sin^2t}{\cos t}=\dfrac{1-\cos^2t}{\cos t}=\sec t-\cos t$

so the integral becomes

$\displaystyle\int_0^{\pi/3}(\sec t-\cos t)\,\mathrm dt=\boxed{\ln(2+\sqrt3)-\frac{\sqrt3}2}$

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3 years ago

Which is greater .75 or 7/8

soldier1979 [14.2K]

Answer:

.75 < 7/8

Step-by-step explanation:

Lets change the decimal to a fraction

.75 = 75/100

Divide the top and bottom by 25

75/100 = 3/4

Multiply by 2/2

3/4*2/2 = 6/8

6/8 < 7/8

so .75 < 7/8

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