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3 years ago

5x - y = 6 -2x +y = 8 What’s the answer

Mathematics

1 answer:

nevsk [136]3 years ago

4 0

Answer:

x= $4\frac{2}{3}$

y= $17\frac{1}{3}$

Step-by-step explanation:

$5x-y=6\\-2x+y=8\\$

Simplify, find the x-value first:

$3x=14\\x=4\frac{2}{3}$

Substitute x-value into any equation (i did the second equation) and simplify:

$-2(4\frac{2}{3})+y=8\\ -9\frac{1}{3} +y=8\\$

$y=17\frac{1}{3}$

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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t

borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

$tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft$

Second triangle:

$tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft$

Now, the total height of the statue will be:

$TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft$

Have a nice day!

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3 years ago

Julia is selling bracelets (B) for each $3 each and necklaces (N) for $8 each. Write a inequality to represent all of the combin

trapecia [35]

$3b + 8n \geqslant 150$

7 0

3 years ago

What is x? <br> -6(9x+5) -3x+4x= -408+x

fredd [130]

X=-53x+378, if you need explanation used ask me.

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3 years ago

Let f be a function such that f(x)=5x-3 is defined by the domain 2≤x≤5. The range of the function is

sasho [114]

Answer:

1. Multiply like the - isn't there

2.add it

3. Idk I just out something XD

Step-by-step explanation:

8 0

3 years ago

Question 2:

Mashutka [201]

He rode his bike for 45 min a day for 6 days that means he rode 270 min in total. And the total he worked out was 360 min that week.

360 - 270 = 90

Now you divide by 6 because of the days he worked out.

90 divided by 6 = 15.

3 0

3 years ago