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katovenus [111]
3 years ago
10

PLEASE HELP ME ASAP!

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

x=5, y=2

Step-by-step explanation:

You simply write down what you see:

3x - 4y + 4x - 5y = 17

2x - 3y + 3x - 5y = 9

Then you simplify by grouping the x and the y terms:

7x - 9y = 17

5x - 8y = 9

Now you want to get equal amounts of x or y. Let's go for x. If we multiply the top eq with 5 and the bottom one with -7, we get:

35x - 45y = 85

-35x  + 56y = -63

-------------------------+ now we can add them:

11y = 22 divide by -11

y = 2

So 7x - 18 = 17, x =5

Finally, it makes sense to double check by filling in these answers in the original equations, just to see if no mistakes were made:

3*5 - 4*2 = 7

4*5 - 5*2 = 10

7+10 = 17: ok!

2*5 - 3*2 = 4

3*5 - 5*2 = 5

4+5 = 9: ok!

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3. A utility pole is 38 ft tall. The pole creates a 53 ft shadow. What is the angle of elevation of the sun? Round your answer t
dybincka [34]

Answer:

The angle of elevation of the sun is 36\degree.

Step-by-step explanation:

Let x be the angle of elevation of the sun as shown in the diagram.


Then the side length which is 38 feet is opposite to x and the side length which is 53 feet is adjacent to x.


Therefore we use the trigonometric ratio that involves the opposite and adjacent sides, which is the tangent ratio.


\tan x=\frac{38}{53}


\Rightarrow \tan x=0.71698


We solve for x to get,


x=\arctan (0.71698)


\Rightarrow x=35.63981


To the nearest degree, the angle of elevation is 36\degree







4 0
3 years ago
What is 354,605 rounded to the nearest thousand
Assoli18 [71]
354,605 rounded to the nearest thousand would be 355,000
because the 6 in the hundreds place is greater than 5 so it rounds up the 4 in the thousands place

Hope this helps!! :D
6 0
4 years ago
How do i find the antiderivative of sin^2(x, cos^2(x and tan^2(x? i know how to antidifferentiate sinx, cosx, and tanx, but thes
Lena [83]
For \sin^2x and \cos^2x, it's helpful to remember the half-angle identities:

\sin^2x=\dfrac{1-\cos2x}2
\cos^2x=\dfrac{1+\cos2x}2

So

\displaystyle\int\sin^2x\,\mathrm dx=\frac12\int(1-\cos2x)\,\mathrm dx=\frac x2-\frac{\sin2x}4=C
\displaystyle\int\cos^2x\,\mathrm dx=\frac12\int(1+\cos2x)\,\mathrm dx=\frac x2+\frac{\sin2x}4=C

For \tan^2x, the Pythagorean identity suffices:

\sin^2x+\cos^2x=1\implies \tan^2x+1=\sec^2x

which means

\displaystyle\int\tan^2x\,\mathrm dx=\int(\sec^2x-1)\,\mathrm dx=\tan x-x+C

since \dfrac{\mathrm d}{\mathrm dx}\tan x=\sec^2x.
4 0
3 years ago
The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation
laila [671]

Using technology,

normalcdf(lower = 59, upper = 65, mean = 60, sd = 5)

= 0.4206 or 42.06%

6 0
4 years ago
Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance
zzz [600]

Answer:

\frac{\Delta v}{v}=0.426

Step-by-step explanation:

you have that the average sped is given by the following formula:

v(x,t)=\frac{x}{t}

The uncertainty formula for a division is given by:

\frac{\Delta v}{v}=\sqrt{(\frac{\Delta x}{x})^2+(\frac{\Delta t}{t})^2}        (1)

Δv: uncertainty in speed

Δx: uncertainty in the distance = 0.9m

Δt: uncertainty in time = 0.7s

x: distance = 8.1m

t: time = 1.7s

You replace the values of all parameters in the equation (1):

\frac{\Delta v}{v}=\sqrt{(\frac{0.9}{8.1})^2+(\frac{0.7}{1.7})^2}\\\\\frac{\Delta v}{v}=0.426

Hence, the relation between the uncertainty in the average velocity is 0.426

4 0
3 years ago
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