use the distributive property to rewrite the algebraic expression below

4 (x + 2)

Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

[tex]\tan\theta =\dfrac{Opposite}{Adjacent}[/tex]

In the given triangle,

[tex]\tan (60^\circ) =\dfrac{18}{x}[/tex]

[tex]\sqrt{3}=\dfrac{18}{x}[/tex]

[tex]x=\dfrac{18}{\sqrt{3}}[/tex]

[tex]x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

On further simplification, we get

[tex]x=\dfrac{18\sqrt{3}}{3}[/tex]

[tex]x=6\sqrt{3}[/tex]

[tex]x=10.3923[/tex]

[tex]x\approx 10.4[/tex]

Therefore, the length of the shortest leg is 10.4 and the correct option is B.

Answer:

Jacob

Step-by-step explanation:

39*3 = 117

because it says Jacob has 3 times as many football cards as eli... Eli has 39 so 39*3 is 117 and 117 is more than 111

Answer:

4 ft by 2 ft

Step-by-step explanation:

4*2=8

4+4+2+2=12

Answer:

x = 15

Step-by-step explanation:

-2x= -25-5

-2x=-30

x= 15

Answer:

3(2x² + x + 3)

Step-by-step explanation:

zzzzzzzzzzzzzzz

Answer:

-4x-36

Step-by-step explanation:

multiply -4 by x

multiply -4 by 9 and add each together

Answer:

-4x + -36

Step-by-step explanation:

This problem uses the distributive property. You need to multiply -4 by both things in the parentheses.

-4 · x = -4x.

-4 · 9 = -36

Hope this helps!

Answer:

Yes

2*2*2*2*2*2=64

so that is a much better deal than the original 40$

Step-by-step explanation:

Answer:

well, y - 7 divided by 3 + 6 = y + 11/3

Step-by-step explanation:

hope this helps! have a nice day!

Answer:

1

Step-by-step explanation:

it is an identity. hope it helps

Answer:

6 days.

Step-by-step explanation:

Given that in a home economics class, 6 girls worked together and sewed a dress in 4 days, to determine how long it would have taken for 4 girls to make the same dress, the following calculation must be performed:

X / 6 = 4

X = 4 x 6

X = 24

24/4 = 6

Thus, the 4 girls will take 6 days to make the same dress that 6 girls made in 4 days.

Answer:

-6/5

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 6 - -6)/( -18 - -8)

   = ( 6+6)/ (-18+8)

   = 12/ -10

    -6/5

Step-by-step explanation:

The correct answer is the photo

Answer:

Distance formula = √(x2 - x1)^2 + (y2 - y1)^2

Step-by-step explanation:

(-2, 6) to (3, -2)

3 + 2 = 5^2 = 25 + 64 = 89.

√89

Answer:

10 more eggs

Step-by-step explanation:

If each egg equals 5 eggs then

pen 3 has a total of 25 eggs

Pen 2 has a total of 5

pen 5 has a total of 10

10 + 5=15

25-15= 10

Hope this helps ^-^

Answer:

10

Step-by-step explanation:

First I would convert all the egg drawings to the actual number:

Pen 3: 25 eggs

Pen 2: 5 eggs

Pen 5: 10 eggs

Then I would add pens 5 and 2 together, this would sum up to 15.

Lastly, I would subtract 15 from 25 = 10 eggs

Answer:

a in the picture

Step-by-step explanation:

The end behaviour of the function is correctly represented by option 1.

The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is the following function polynomial as -

q(x) = 3x⁴ – 5x³ – 2x² + x – 18

The given polynomial is -

q(x) = 3x⁴ – 5x³ – 2x² + x – 18

Graph the function. It can be seen that the domain is limited from -

x = -1.365 to x = 2.351 which is a small value. So, we can predict the end behaviour of the graph as given in option [1].

Hence, the end behaviour of the function is correctly represented by option 1.

To solve more questions on functions, visit the link below -

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Answer: Choice B) 35.3 degrees

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

Work Shown:

Apply the law of sines

sin(S)/s = sin(R)/r

sin(S)/16 = sin(120)/24

sin(S) = 16*sin(120)/24

sin(S) = 0.57735026918962

S = arcsin(0.57735026918962)

S = 35.2643896827542

S = 35.3

Make sure your calculator is in degree mode.

Answer:

okay, so let's take an example problem:

y = x + 4 where "y" = 5

so first, you plug in 5 in "y"'s place like so:

5 = x + 4

then, you solve for "x"

5 - 4 = 1

so therfore:

x = 1

if you need more of an explanation please do not be afraid to reach out. my goal isn't to get points, it's to help.

Answer:

Step-by-step explanation:

Desde el concepto de conservación de la energía mecánica, es decir, la energía asociada con el movimiento coherente de un objeto, la energía cinética del objeto, junto con su momento, están conectadas entre sí. Entonces, si un bloque rueda sobre un plano irregular, tiene pérdida de energía mecánica, esto significa que la energía cinética se compensa con las ganancias o pérdidas de la energía potencial de la interacción del objeto.

Answer:

Step-by-step explanation:

[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]

Answer:

B!

Step-by-step explanation:

Hope that helps!

Answer:

y = 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line

m = [tex]\frac{5-2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = 3x - 4 ← equation of line

Answer:

Step-by-step explanation:

infinite

The height of up in the tree was the bald eagle is, 352.5 feet

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

You measure the angle of elevation to the eagle to be 67 degrees.

And, The angle of elevation to the eagle to be 67 degrees.

Now, Let the height of up in the tree was the bald eagle is, x

Hence, We can formulate;

⇒ tan 67° = x / 150

⇒ 2.35 = x / 150

⇒ x = 2.35 × 150

⇒ x = 352.5 feet

Thus, The height of up in the tree was the bald eagle is, 352.5 feet

Learn more about the divide visit:

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Answer:

Step-by-step explanation:

Vera used the wrong number in her inequality.

Please note this question was very confusing for me.

Answer:

D

Step-by-step explanation:

The person above me is right, but if you wanted to know the letter, it's D

:D

Answer:

t = (A/p-1) r

Step-by-step explanation:

p = p (1+rt)

A/P = 1+rt

rt = A/P- 1

t = ( A/P- 1) r

Answer:

Step-by-step explanation:

add 1.2 to the 2

x/4=3.2

multiply 3.2 by 4

x=12.8

Answer:

80 mi.

Step-by-step explanation:

There are a couple ways to solve this problem.  I will show you one.  First, let's find the rate of travel.

D = RT

70 = 3.5R

R = 70/3.5 = 20

Using that speed, we now get

D = 20(4) = 80 mi.

Answer:

The answer is C

Step-by-step explanation:

Answer:

Its c

Step-by-step explanation:

got it right on edge

Answer:

7/8

Step-by-step explanation:

Get rid of the (   )

put the 49/64 into a √  sq root and it cancels out the 1/2

49/64       whats the square root of 49? 7  Ss root of 64 is 8

7/8