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Solution :

It is given that the length of a side of a triangle is given by 'a'.

It is an equilateral triangle.

So the three sides will be of equal length and is a, a, a units.

Now the semi perimeter of the equilateral triangle is given by :

[tex]$S=\frac{a+a+a}{2}$[/tex]

  [tex]$=\frac{3}{2}a$[/tex]

Therefore, using the Heron's formula, we can find the area of the equilateral triangle.

Area of the equilateral triangle is given by :

[tex]$A =\sqrt{S(S-a)(S-a)(S-a)}$[/tex]

[tex]$A =\sqrt{\frac{3a}{2}\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)}$[/tex]

[tex]$A=\frac{\sqrt3}{4}a^2$[/tex] square units.

Answer: 1.25

Step-by-step explanation:

because it is

Answer:

its the second 1

Step-by-step explanation:

i had last week and got a 88.87%

Answer:

step 1. plug in (-3, 0).

step 2. y = x^2 + x - 6 works and the others dont.

step 3. plug in (-2, -4), (-1, -6), (0, -6), (1, -4), (2, 0)

step 4. All points work in the equation x^2 + x - 6.

the right answer for that question is c

Answers:

Answer:

2 days

Step-by-step explanation:

I figured out what 1/4 of 8 was by taking 2 and multiplying it by 4. You can also get this same answer by dividing 8 by 4.

Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right, if its not then i dont know what to say.

Step-by-step explanation:

The graph and therefore, the sinusoidal function equation is a wave function graph and equation

The formula of the sinusoidal function can be written as follows;

[tex]y = \mathbf{5 \cdot sin\left (\dfrac{1}{2} \cdot \left (x + \dfrac{\pi}{2} \right)\right)}[/tex]

The process of deriving the equation of the sinusoidal function is as follows:

The given parameters of the sinusoidal function are;

The coordinate of the maximum point = (0, 5)

The coordinate of the minimum point = (2·π, -5)

Method:

The general form of the sinusoidal function is y = A·sin(B·(x - h)) + k

From the given coordinates of points on the graph of the sinusoidal wave, the values of A, B, h, and k can be calculated as follows

Solution:

y = A·sin(B·(x - h)) + k

Where;

A = Amplitude = (Maximum y-value - Minimum y-value)/2

∴ A = (5 - (-5))/2 = 5

A = 5

The period, T = 2·π/B = The time to complete a cycle = Time from maximum y-value to another maximum y-value

∴  The period, T  = 2 × (The x-value at maximum y-value - The x-value at minimum y-value)

T = 2 × (0 - 2·π) = -4·π

Given that the period, T represent a scalar quantity, we have T = 4·π

∴ T = 4·π = 2·π/B

B = 2·π/4·π = 1/2

B = 1/2

From the given coordinates, at x = 0, f(x) is maximum, therefore, sin(B·(x - h)) = 1, which gives;

B·(x - h) = π/2

(1/2)·(0 - h) = π/2

h = -π/2

The vertical shift, k =  (Maximum y-value + Minimum y-value)/2

∴ k = (5 + (-5))/2 = 0, there is no vertical shift

Therefore;

The equation of the sinusoidal function is y = 5·sin(1/2·(x - (-π/2)) + 0, from which the equation can be presented as follows;

[tex]y = \mathbf{ 5 \cdot sin\left (\dfrac{1}{2} \cdot \left (x + \dfrac{\pi}{2} \right)\right)}[/tex]

Learn more about sinusoidal functions here

https://brainly.com/question/22706973

Answer:

f(x)=5sin((1/2)x + (pi/2))

Step-by-step explanation:

If a⁵ = 3⁵, simplify (2a)⁷ ?

As, we have a⁵ = 3⁵

We know that if powers are equal then the base are also equal. In a⁵ = 3⁵, powers are equal on both sides so base will also be equal.

∴ a = 3

Now, we have to find (2a)⁷, so by substituting a = 3, we have :

⟹ (2a)⁷ = (2 × 3)⁷

⟹ (2a)⁷ = (6)⁷

⟹ (2a)⁷ = 6⁷

Therefore, correct answer is 6⁷.

Hence, correct option is D.

Answer:

2500

Step-by-step explanation:

The mean of 700, 1200, 1600, 2000, 2500 is 1600.

Answer:

D

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 ) = (- 1, 1) and (x₂, y₂ ) = (24, - 4) ← 2 points on the line

m = [tex]\frac{-4-1}{24+1}[/tex] = [tex]\frac{-5}{25}[/tex] = - [tex]\frac{1}{5}[/tex] , then

y = - [tex]\frac{1}{5}[/tex] x + c ← is the partial equation

To find c substitute any of the 3 points into the partial equation

Using (4, 0 ) , then

0 = - [tex]\frac{4}{5}[/tex] + c ⇒ c = 0 + [tex]\frac{4}{5}[/tex] = [tex]\frac{4}{5}[/tex]

y = - [tex]\frac{1}{5}[/tex] x + [tex]\frac{4}{5}[/tex] → D

When x = -3;

w = -5(-3) - 1

w = 15 - 1

w = 14

When x = 0;

w = -5(0) - 1

w = 0 - 1

w = -1

When x = 8;

w = -5(8) - 1

w = -40 - 1

w = -41

Best of Luck!

what angle is it I need 2 no cuz I cannot help u without the angle

Answer:

25c^2-30cd

Step-by-step explanation:

The product of expression is,

⇒ 5c (5c - 6d)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (5c - 3d)² - 9d²

Now, We can write the expression in form of product as;

⇒ (5c - 3d)² - 9d²

⇒ (5c - 3d)² - (3d)²

⇒ (5c - 3d - 3d) (5c - 3d + 3d)

⇒ (5c - 6d) (5c)

⇒ 5c (5c - 6d)

Thus, The product of expression is,

⇒ 5c (5c - 6d)

Learn more about the mathematical expression visit:

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#SPJ2

Answer:

Coordinate

Step-by-step explanation:

It is a coordinate because with slope you would need at least two ordered pairs

Answer:

A coordinate.

Step-by-step explanation:

A coordinate takes the form of ( x , y ), in which x is the horizontal, while y is the vertical.

In this case, (6 ,0) is the given coordinate, in which it displaces +6 to the right of the (0 , 0).

~

A slope will typically look like either a whole number, or the more usual fraction.

~

Answer:

The range is is set of all second pairs (y-coordinates) while the domain is the set of first pairs(x-coordinates)

Step-by-step explanation:

Answer:

(4) -2/5

Step-by-step explanation:

Rise/run

Answer:

Improper fraction: 8/3 Mixed Number: 2 2/3

Step-by-step explanation:

In this problem ,  you have to divide the 8 pounds of fruit into three different salads.

So, you need to divide 8 by 3. So, the answer will be 8/3 OR 2 2/3

Given:

The radii of circles are 14 cm and 7 cm.

To find:

The area of the shaded region.

Solution:

Area of a circle is

[tex]Area=\pi r^2[/tex]

From the given figure, it is clear that

Area of shaded region = Area of larger circle - Area of smaller circle

                                      = [tex]\pi (14)^2-\pi (7)^2[/tex]

                                      = [tex]\dfrac{22}{7}\times 14\times 14-\dfrac{22}{7}\times 7\times 7[/tex]

                                      = [tex]616-154[/tex]

                                      = [tex]462[/tex]

Therefore, the area of the shaded region is 462 sq. cm.

Answer:

he corect f and c

Step-by-step explanation:

The answer would be F and C

Explanation: I got it right on the test I took.

Answer:

15 mph

Step-by-step explanation:

28mi=2  1/3

2   1/3 = 2 hrs 20min

110min

28/110=.254 mi per min

.25*60=15 mi per hrs

Answer:

I haven't did this in a long time, but I think it's -3

Step-by-step explanation:

Answer:

The chicken closed the road.

And then he crawled up the spot

and come over the duck

Answer:

um

Step-by-step explanation:

y-5

2y+ 1

y-5

6y+7

y-5

2y+5

y-5

6y+ 7

-2y-10

2y+5

-2y-10

i think its A

Step-by-step explanation: