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Applying the 30-60-90 Theorem, Solve this.​

Answer:

comment if you need a better explanation

Answer:

Hope it helped :)

Step-by-step explanation:

[tex]a)Mean = \frac{sum \ of\ the\ data} {number\ of\ data} = \frac{598}{21} = 28.48\\\\b) Median = middle\ number = 28\\\\c)Mode = most \ frequently \ occured \ number = 25\\\\d) Range = 48 - 5 = 43\\\\e)Inter Quartile Range = Q_3 - Q_1 = 16[/tex]

Answer:

h= x/ x+4

Step-by-step explanation:

Move all terms to the left side and set equal to zero, Then set each factor equal to zero.

there no table showing mechanic b. but mechanic a charges a one time fee of $50

35 an hour times 5 hours is 175

the total of 225 -175= $50 as a one time fee

Answer:

3/5

Step-by-step explanation:

Answer:

17 weeks of deposits will pay for his bike and his sister

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

Divide the half from the surface area formula and it will give you the correct answer

Answer:

[tex]there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%[/tex]

Answer:

10.9166666667 or 10 11/12

hope this helps

have a good day :)

Step-by-step explanation:

A scaled version means that our leading coefficient will change. Let's set up an equation to find our leading coefficient, a.

g(x) = a * x^2

Now that we have our equation, we need a point that is on g(x). The point given is (4,8). Let's use that point and plug x and y into our equation so that we can solve for a.

8 = a * (4)^2

8 = a * 16

a = 1/2

All that's left to do is plug in our a value into g(x).

g(x) = 1/2 x^2

Hope this helps!! :)

Answer:

Nuclear fusion that takes place between hydrogen atoms.

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Like most stars, the sun is made up mostly of hydrogen and helium atoms in a plasma state. The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons.

Answer:

a=-1 goes to the third graph (because it's negative so obviously it's a sad smile)

a=1 goes to the first graph

a=0.25 goes to the second graph

Step-by-step explanation:

The smaller the value of a, the wider the the parabola would be. If the value of a is large then the parabola becomes smol

Answer:

558.0981

Step-by-step explanation:

5.67, 98.43, 9What is 8.35, 345.67, 98.43, 90.8 and0.8 and 25.45 in expanded form?

Answer:

Step-by-step explanation:

Sin(A) = a/c

Cos(A) = b/c

Tan(A) = a/b

Answer:

Solution given:

Trigonometic Ratio to the ratio of the sides. are.

SinA=a/c

CosA=b/c

TanA=a/b

Given:

Five and one half of 2 and one third.

To find:

The number for the given statement.

Solution:

Five and one half = [tex]5\dfrac{1}{2}[/tex]

2 and one third = [tex]2\dfrac{1}{3}[/tex]

The given statement is five and one half of 2 and one third.

Here, the word "of" is used for multiplication.

So, the expression for the given statement is:

[tex]5\dfrac{1}{2}\times 2\dfrac{1}{3}[/tex]

[tex]=\dfrac{10+1}{2}\times \dfrac{6+1}{3}[/tex]

[tex]=\dfrac{11}{2}\times \dfrac{7}{3}[/tex]

[tex]=\dfrac{77}{6}[/tex]

Therefore, the required number is [tex]\dfrac{77}{6}[/tex].

Answer:

k=8

explaining the answer

80 - 8K = 2K

Answer:

The first picture with the (1,6)

Step-by-step explanation:

If you plug in the numbers in the equations you will see that they both equal 6.

6=4(1)+2

6=4+2

6=6

6= (1)+5

6=6

Answer:

m > -3

Step-by-step explanation:

-8m/-8 < 24/-8

when dividing by a negative number the sign changes

m > -3

Answer:

y = 2x - 8

Step-by-step explanation:

Answer:

parte 1) | Superprof

1 Indica cuáles de las siguientes expresiones son monomios. En caso de ... 4 Encuentra el valor numérico del polinomio P(x) = x^3 + 3x^2 - 4x - 12 ... d) (10x – 5/4x³ + 5/2x² – 1/2) : (5x)

Answer

C41 = 2

This very simple to do.

First locate the entry in A41 in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 7.

Then multiply by the scalar which is 2 to get,

Next we locate the entry in B41 in matrix B also. Which is 4. We multiply by the scalar of -3 to get,

-3 x 4= -12

We now add these two corresponding entries to obtain,

14+-12= 2

Answer: The answer is “10cm”

Step-by-step explanation: To get to this answer we first need to know the formula for find the hypotenuse which is a^2 + b^2 = c^2. A and B are the two sides in this case a and b are 8 cm and 6 cm. Then you plug in the values into the equation, it looks like this 8^2 + 6^ = c^2 once you solve you get 64 + 36 = c. When you add 64 and 36 you get 100 but their is one more step. You must find the square root of 100 which is 10. So your answer for the hypotenuse is “10cm”

Have a nice day!

Answer:

56 degrees

Step-by-step explanation:

If you look at the m<KLN you can see that it is an acute angle. So, with this being said you have to know that the measure KLN is going to be less than 90 degrees. So you would subtract 180 and 124 and you would get 56 degrees.

I hope this helps :)

Answer:

La masa de 10⁹ μm³ de agua es 1 mg.

Step-by-step explanation:

La densidad del agua es:

[tex] d = \frac{m}{V} = 1000 kg/m^{3} [/tex]

En donde:

m: es la masa =?

V: es el volumen = 10⁹ μm³

Para encontrar la masa de agua debemos convertir las unidades del volumen de μm³ a m³:

[tex]V = 10^{9} \mu m^{3}*\frac{1 m^{3}}{(10^{6} \mu m)^{3}} = 10^{-9} m^{3}[/tex]

Ahora, la masa es:

[tex]m = d*V = 1000 kg/m^{3}*10^{-9} m^{3} = 10^{-6} kg = 10^{-3} g = 1 mg[/tex]                      

Por lo tanto, la masa de 10⁹ μm³ de agua es 1 mg.

Espero que te sea de utilidad!          

Answer: (a)

Step-by-step explanation:

Given

Polynomial is [tex]-5+x^2+x^3[/tex]

In standard form, Polynomial is written in the form of

[tex]ax^n+bx^{n-1}+cx^{n-2}+dx^{n-3}+\ldots[/tex]

That is leading term must have highest degree

Arranging according to the standard form

[tex]\Rightarrow x^3+x^2-5[/tex]

The above expression is cubic trinomial because degree of x is 3.

Hence, option (a) is correct.

Answer:

£4500

Step-by-step explanation:

12500 ×9/100

=1125

4 years =1125×4

=£4500

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C

Note

sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]