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DENIUS [597]
3 years ago
9

Find the side length of X

Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0

Answer:

7√3

Step-by-step explanation:

We can use pythagoreans theorem to solve this

Since, we know one side, and the hypotenuse, we can solve for the other side.  

Pythagoreans theorem: a²+b²=c²

Where a and b are two sides, and c is the hypotenuse (the side opposite of the right angle)

In this triangle, 7 is the side, and 14 is the hypotenuse.

I will plug in the values into pythagoreans theorem, and then simplify:

a^{2}+b^{2} =c^{2} \\\\7^{2} +x^{2} =14^{2} \\\\49+x^{2} =196\\\\x^{2} =147\\\\x=\sqrt{147} \\\\x=\sqrt{49*3 }\\\\ x=\sqrt{7^{2} *3 }\\\\x=7\sqrt{3}

So x = 7√3

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A man purchased a magazine at the airport for $2.69. The tax on the purchase was $0.13. What is the tax rate at the airport? The
alexdok [17]

We need to find the percent, let's start but making the equation.

The price is 2.69

The tax cost is 0.13

So what percent of 2.69 is = 0.13.

Equation: X/100 x 2.69 = 0.13

Multiply each side by 100 so we can get x alone with the price: 2.69x = 13

Now to get x alone, we must divide both sides by 2.69: x = 4.8

Finally, we just round 4.8 to the nearest whole number, which is 5 (5 or above give it a shove, 4 or below let it go, we have 8 so we give it a shove). This means that the answer will be 5%.

I hope this helps! :)

6 0
3 years ago
Add or substract the linear expression.
STatiana [176]

Answer:

-7x - 6

Step-by-step explanation:

1

Distribute

(−2+5)−1(6+4)+(−7)

(−2+5)−6−4+(−7)

2

Eliminate redundant parentheses

(−2+5)−6−4+(−7)

−2+5−6−4+−7

3

Add the numbers

−2+5−6−4+−7

−2−6−6+

4

Combine like terms

−2−6−6+

Answer:

−7−6

4 0
3 years ago
I really need help with this algebra problem:<br> 5a=89
stiks02 [169]
Divide 5 by 89 and you get a=17.8
4 0
3 years ago
Pre-algebra<br> Due urgently<br> Tysm
leva [86]

Answer:

y = 4 / x = 2

Step-by-step explanation:

Insert x equation for variable x

y = 2(-y+6)

simplify

y= -2y + 12

add 2y to both sides

3y= 12

divide both sides by 3

y = 4

Insert 4 as y in y =2x

4=2x

divide both sides by 2

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4 0
2 years ago
What is the fifth term in the geometric sequence described by this explicit formula y=40×(-2)^(n-1)​
cupoosta [38]

Answer:

The fifth term is 620

Step-by-step explanation:

y=40×(-2)^(n-1)​

The 5th terms means n=5

y = 40 * (-2) ^ (5-1)

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  = 40 * (16)

  = 640

5 0
3 years ago
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