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olga2289 [7]
3 years ago
7

Solve 2,401 = 76 – 2x.

Mathematics
2 answers:
Oduvanchick [21]3 years ago
4 0
Subtract 76 on both sides:

2401 - 76 = 76 - 2x - 76 

2325 = -2x

Divide both sides by -2:

-1162.5 = x
malfutka [58]3 years ago
4 0

the comment is correct. x=1

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Mashutka [201]

Answer:

it would be 110. you add 80+30

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3 years ago
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Find the value of a $3,000 certificate in 2 years, if the interest rate is 10% compounded annually.
ser-zykov [4K]

Answer:

600$

Step-by-step explanation:

3000×2×.10=600

the 10 percent needs to be changed to .10

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2 years ago
(-3,7) and (8,-6) found distance
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Keith_Richards [23]
<h3>Answer:  A.  18*sqrt(3)</h3>

=============================================

Explanation:

We'll need the tangent rule

tan(angle) = opposite/adjacent

tan(R) = TH/HR

tan(30) = TH/54

sqrt(3)/3 = TH/54 ... use the unit circle

54*sqrt(3)/3 = TH .... multiply both sides by 54

(54/3)*sqrt(3) = TH

18*sqrt(3) = TH

TH = 18*sqrt(3) which points to <u>choice A</u> as the final answer

----------------------

An alternative method:

Triangle THR is a 30-60-90 triangle.

Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.

The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.

Now use the pythagorean theorem

a^2 + b^2 = c^2

(TH)^2 + (HR)^2 = (TR)^2

(x)^2 + (54)^2 = (2x)^2

x^2 + 2916 = 4x^2

2916 = 4x^2 - x^2

3x^2 = 2916

x^2 = 2916/3

x^2 = 972

x = sqrt(972)

x = sqrt(324*3)

x = sqrt(324)*sqrt(3)

x = 18*sqrt(3) which is the length of TH.

A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.

4 0
3 years ago
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Eduardwww [97]

Answer:

C.  6√2.

Step-by-step explanation:

Since this is a right angled isosceles triangle bot legs are 6 units long

So h^2 = 6^2 + 6^2 = 72

h = √72 = 6√2.

7 0
3 years ago
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