A number is five more than three times another number. The sum of the two numbers is 33. Equation X plus 3X +5+352 find the value

Answer:

x = 63.43...

Step-by-step explanation:

Ok, so the angle x is the same measure as the bottom right angle of the triangle because the bottom of the triangle and the dashed line are parallel. Knowing this we can simply solve for the bottom right angle and it will be the same as angle x.

To do this we can set up and equation with tangent because we are working with the opposite and adjacent sides of the triangle.

[tex]Tan(x) = \frac{opposite}{adjacent} = \frac{50}{25} = 2[/tex]

[tex]Tan(x)=2\\[/tex]

Now to isolate the variable, we can simply use the cotangent or inverse tangent.

[tex]Tan^{-1}(Tan(x)) = Tan^{-1}(2)\\x = Tan^{-1}(2)\\x = 63.43...[/tex]

Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0

HOPE THIS HELPS

when I did this it was C for me

Answer:

25%

Step-by-step explanation:

If the total number of people is 5600, then to find the number of people that did not vote you subtract 4200 from 5600.

5600-4200=1400

Then you can set up the number of people who didnt vote as equal to a percentage over 100

1400/5600=x/100

140000/5600=x

25=x

Answer:

-60

Step-by-step explanation:

-3(x + 10) + 2x = 30 becomes -3x - 30 + 2x = 30 after having performed the multiplication.  Combining like terms, we get -x = 60, so that x must be -60 (Answer 4)

Answer:

90

Step-by-step explanation:

the movie was 25% shorter

25% of 120 is 30

120-30=90

Answer:

yes those all seem to be correct, A, B, and D are the ones that are correct

Answer:

500 + (40x)

Step-by-step explanation:

she already has 500 in her bank account and there are multiple weeks. 40 dollars per week would be 40x since we don’t know how many weeks. then put it in an equation!

Answer:500 + 40w = m

Step-by-step explanation:

500 is the amount you had already then you add 40 per a week so you times that by w depending on the weeks and m is money overall.

this should be the answer

Hoped this helped

Step-by-step explanation:

ratio 6:8

376+336=712

6+8=14

712/14=50.86

haircut= 50.86*6=305.16

colour= 50.86*8=406.88

i hope this helps

Answer:

Need to see the questions lol

Answer:

Where's the Questions? Dude

Answer:

115.24

Step-by-step explanation:

15.35*4.25=65.2375

65.2375+50=115.2375

115.2375 ≈ 115.24

Answer:

[tex]12\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

17 + 23 = 40

23 - 17 = 6 the other person did it right.

Answer:

English and French:40 and English:10

Step-by-step explanation:

English and French:4÷5×50

=40

English:1÷10×50

=10

9514 1404 393

Answer:

  √29

Step-by-step explanation:

We can call the given points A(3, 4) and B(-2, 6).

The right triangle with segment AB as a hypotenuse can best be drawn along grid lines. Then the vertical leg is the difference of y-coordinates: 6-4 = 2, and the horizontal leg is the difference of x-coordinates: 3 -(-2) = 5.

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs.

  AB² = 2² + 5²

  AB² = 4 + 25 = 29

Taking the square root, we find the length of the line segment between the points to be ...

  AB = √29

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles                    

First, we need to find b:    

[tex] a^{2} + b^{2} = h^{2} [/tex]   (1)    

[tex] b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles [/tex]

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

[tex]\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})[/tex]

[tex] 2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:  

[tex] 0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

[tex]\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h[/tex]  

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

Answer:

m(arc FE) = 166°

Step-by-step explanation:

By theorem of intersecting chords and tangent of a circle,

Measure of the angle formed by a chord and tangent intersecting on the circle measure the half of the intercepted arc.

m(∠GFE) = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]

83° = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]

m(arc FE) = 166°

Answer:

119

Step-by-step explanation:

14x17 = 238)/2

Answer:

D

Step-by-step explanation:

As you can see from the image attached below, the equation that is being graphed is

F(x) = [tex]\frac{x}{(x+4)(x-1)}[/tex]

This equation splits off into various directions because the denominator is turns into a quadratic equation. Once solved it provides two values for which the quadratic equation would equal zero. Since this equation is the denominator 0 would give a null value and is why on the graph there is no y value for 1 or -4. Yet all other values are valid and have an different y output.

Answer:

[tex]Area = 346m^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 5m\\Width = 6m\\Height = 13m[/tex]

Required

Determine the surface area

This is calculated as:

[tex]Area = 2 * (Length * Width + Length * Height + Width * Height)[/tex]

So, we have:

[tex]Area = 2 * (5m * 6m + 5m * 13m + 6m * 13m)[/tex]

[tex]Area = 2 * (30m^2 + 65m^2 + 78m^2)[/tex]

[tex]Area = 2 * (173m^2)[/tex]

[tex]Area = 346m^2[/tex]

Answer:

Step-by-step explanation:

x²-2x=-26

add both sides (-2/2)² or 1

x²-2x+1=-26+1

x²-2x+1=-25

(x-1)²=25×-1

(x-1)²=5²×i²=(5i)²

x-1=±5i

x=1±5i

Answer:

Step-by-step explanation:

Let the smallest number = x

The next number will be x + 1

x + x + 1 = 5

2x + 1 = 5          This is likely the answer to the question although it could be the equation above.

Answer:

yes, no, yes

Step-by-step explanation:

Answer:

yes i think so

Step-by-step explanation:

Approximent means close enough wich means if you think about it then yes but remmber tax

one.yes

two.no

three. yes bc its 14.95 but even with tax its a yes

hope i helped :)

Answer:

D

Step-by-step explanation:

Answer:

the p-value should be 0.175 sorry if it's wrong :))

Answer: To convert a number into percent multiple it by 100 and then add the percent sign. These examples convert the numbers 23 and 158 to percents. To convert a number with a decimal into percent, multiply it by 100 and add the percent sign. These examples convert 0.4580; 0.0257; and 0.00458.

Hope this help

Step-by-step explanation:

Answer:

[tex]f(8) = 81[/tex]

[tex](g\ o\ f)(x) = x^2 + 2x -4[/tex]

Step-by-step explanation:

Solving (a):

[tex]f(x) = x^2 + 2x +1[/tex]

[tex]g(x) = x - 5[/tex]

Solve for f(8)

We have:

[tex]f(x) = x^2 + 2x +1[/tex]

Substitute 8 for x

[tex]f(8) = 8^2 + 2*8 +1[/tex]

Solve

[tex]f(8) = 64 + 16 +1[/tex]

[tex]f(8) = 81[/tex]

Solving (b):

[tex](g\ o\ f)(x)[/tex]

This is solved by:

[tex](g\ o\ f)(x) = g(f(x))[/tex]

So, we have:

[tex]g(x) = x - 5[/tex]

[tex]g(f(x)) = f(x) - 5[/tex]

Substitute: [tex]f(x) = x^2 + 2x +1[/tex]

[tex]g(f(x)) = x^2 + 2x + 1 - 5[/tex]

[tex]g(f(x)) = x^2 + 2x -4[/tex]

Hence:

[tex](g\ o\ f)(x) = x^2 + 2x -4[/tex]