All Answers 358087 Answers

Do you know about order of operations?  There is an acronym Please Excuse My Dear Aunt Sally (PEMDAS). If you take the first letter of each word in the acronym and replace it with the correct mathematical operation and do the operations in the order of the acronym, you wlll get to the answer.

P - Parenthesis

E - Expoents

M - Multiplication

D - Division

A - Addition

S - Subtraction

\(7(23-18)/(12-5)\)

The acronym says to do what is inside the parenthesis first.  Follow the rest of the acronym within the parenthesis.

\(7(5)/(12-5)\)

\(7(5)/7\)

The acronym says to do the expoents next.  There are no expoents so this we can skip.

Even though the acronym says to do multiplication next, in actuality, you do multiplication and division at the same time in order from left to right

\(35/7\)

\(5\)

Even though the acronym says to do addition next, in actually, you do addition and subtracton at the same time in order from left to right.  Because there is no addition or subtraction to do, you leave as is which is your answer.

\(5\)

Solve for x:
5+(2 x^(3/2)-3/x^(3/2))^2 = 5

Bring 5+(2 x^(3/2)-3/x^(3/2))^2 together using the common denominator x^3:
(4 x^6-7 x^3+9)/x^3 = 5

Multiply both sides by x^3:
4 x^6-7 x^3+9 = 5 x^3

Subtract 5 x^3 from both sides:
4 x^6-12 x^3+9 = 0

Factor 4 x^6-12 x^3+9 into a perfect square:
(2 x^3-3)^2 = 0

Take the square root of both sides:
2 x^3-3 = 0

Add 3 to both sides:
2 x^3 = 3

Divide both sides by 2:
x^3 = 3/2

Taking cube roots gives (3/2)^(1/3) times the third roots of unity:
Answer: |  x = -(-3/2)^(1/3)       or        x = (3/2)^(1/3)=1.145        or       x = (-1)^(2/3) (3/2)^(1/3)

6x-(4x-19) = 3    simplify

6x - 4x   +  19   =   3

2x   + 19   = 3     subtract 19 from both sides

2x = -16       divide both sides by 2

x = -8

Also, you press these buttons on a calculator to use them:

Simplify the following:
-(1+3/5)/((-2)/3)

Multiply the numerator of -(1+3/5)/((-2)/3) by the reciprocal of the denominator. -(1+3/5)/((-2)/3) = (-(1+3/5) 3)/(-2):
(-(1+3/5)×3)/(-2)

Put 1+3/5 over the common denominator 5. 1+3/5  =  5/5+3/5:
(-5/5+3/5 3)/(-2)

5/5+3/5  =  (5+3)/5:
(-(5+3)/5×3)/(-2)

5+3 = 8:
(-8/5×3)/(-2)

(-(8×3)/5)/(-2) = (-8×3)/(5 (-2)):
(-8×3)/(5 (-2))

The gcd of 8 and -2 is 2, so (-8×3)/(5 (-2)) = (-(2×4) 3)/(5 (2 (-1))) = 2/2×(-4×3)/(5 (-1)) = (-4×3)/(5 (-1)):
(-4×3)/(5×-1)

(-4×3)/(5 (-1)) = (-1)/(-1)×(4×3)/5 = (4×3)/5:
(4×3)/5

4×3  =  12:
Answer: |  12/5

You use cos (cosign) sin (sine) and tan (tangent) to find the lengths of sides of triangles.

Solve for x:
(x^3-7)/(x+5) = 0

Multiply both sides by x+5:
x^3-7 = 0

Add 7 to both sides:
x^3 = 7

Taking cube roots gives 7^(1/3) times the third roots of unity:
Answer: |  x = -(-7)^(1/3)       or       x = 7^(1/3)      or        x = (-1)^(2/3) 7^(1/3)

x - 15% = 100

x - .15x =100

.85x =100 divide both sides by .85

x=117.647, so that

15% of 117.647 =17.647 and,

117.647 - 17.647 =100

At 45 degrees both legs of the triangle are equal, i.e.  the distance FROM the building and the HEIGHT of the building are EQUAL.  (T)

At 30 degrees then   Tan(30) = T/(400+T)

.57735 = T/(400+T)    Solve for T

T= 546.40 ft tall

Hello Guest!

At a certain point in a large level park, the angle of elevation to the top of an office building is 30 degrees. If you move 400 ft closer to the building, the angle of elevation is 45 degrees. To the nearest 10 feet, how tall is the building?

Please make it as simple as possible, thanks.

An einem bestimmten Punkt in einem großen ebenen Park. Der Höhenwinkel nach oben zu einem Bürogebäude beträgt 30 Grad. Wenn Sie sich 400 ft näher an das Gebäude bewegen, ist der Höhenwinkel 45 Grad. Um 10 ft genau, wie hoch ist das Gebäude?

The law of sines

triangle ABC. c = 400ft  α = 30°  β = 135°  γ = 15°

a / sin α = c / sin γ

a = c * sin α / sin γ = 400ft * sin 30° / sin 15° = 772,74066ft

Triangle (90 ° 45 ° 45 ° / a h h)

2h² = a²

h = √(a² / 2) = √(772.74066² / 2) = 546.410161512ft

h = 546.41ft

The building is 546.41ft high.

Greeting asinus :- )

 !

x-15%=100

\(x-0.15=100\)

\(x=100.15\)

\(tan(x)=\frac{2.2}{9.6}\)

\(tan(x)=\frac{22}{96}\)

\(tan(x)=\frac{11}{48}\)

\(tan(x)= 0.2291666666666666...\)

\({tan}^{-1}(tan(x))= {tan}^{-1}(0.2291666666666666...)\)

\(x≈ 0.225276779214\)

\(x= 0.2291666666666666...+\pi\)

\( x≈0.2291666666666666...+ 3.1415926535897932...\)

\(x≈3.3707593202564599\)

\(x≈ 0.225276779214\) or \(x≈3.3707593202564599\)

12+2+3+18 = 35

25/39087=0.0006395988436053 

which means that each person get .0006 part of a sweet or there is 1 peice of candy for every 1563.48 people.

for example

x^2=4 so you square root both sides to get x=2

.5 or 1/2

tan-1(2.2/9.6)=12.9074

\({({y}^{2}-x)}^{2}\)  \(y=1\) and \(x=2\)

Two ways to solve this

The short way

Subsitute \(1\) for \(y\) and \(2\) for \(x\) and solve

\({({1}^{2}-2)}^{2}\)

\({(1-2)}^{2}\)

\({(-1)}^{2}\)

\(1\)

The long way

Subsitute \(1\) for \(y\) and \(2\) for \(x\), expand the expression and solve

\({({1}^{2}-2)}^{2}\)

\(({1}^{2}-2)({1}^{2}-2)\)

\((1-2)({1}^{2}-2)\)

\((1-2)(1-2)\) 

\(1-2-2+4\)

\(-1-2+4\)

\(-3+4\)

\(1\)

OR

\({({1}^{2}-2)}^{2}\)

\(({1}^{2}-2)({1}^{2}-2)\)

\({1}^{4}+{1}^{2}(-2)+(-2)({1}^{2})+4\)

\(1+{1}^{2}(-2)+(-2)({1}^{2})+4\)

\(1+1(-2)+(-2)({1}^{2})+4\)

\(1+(-2)+(-2)({1}^{2})+4\)

\(1+(-2)+(-2)(1)+4\)

\(1+(-2)+(-2)+4\)

\(-1+(-2)+4\)

\(-3+4\)

\(1\)

n = number of people and you need to find for 10 people, put 10 instead of n

100 + 4(10)

100+40=140