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3 years ago

PLSSS ANSWER!!!!!!!!!!!!

Mathematics

1 answer:

Brums [2.3K]3 years ago

5 0

Look at the picture.

The formula of an area of a triangle:

$A_\Delta=\dfrac{1}{2}ab\sin\alpha$

In the equilateral triangle, the measures of all angles are the same and equal to 60°.

Therefore your answer is:

$\dfrac{1}{2}aa\sin(60^o)=\dfrac{1}{2}a^2\sin(60^o)$

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A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service

Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

$y-264.70=39.95(x-6)$

Part b) The equation in slope intercept form is

$y=39.95x+25$

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

$y-y1=m(x-x1)$

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

$m=39.95\ \frac{\$}{month}$

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

$y-264.70=39.95(x-6)$ ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$y-264.70=39.95(x-6)$

Isolate the variable y

Distribute right side

$y-264.70=39.95x-239.70$

Adds 264.70 both sides

$y=39.95x-239.70+264.70$

$y=39.95x+25$

Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

$y=39.95(0)+25$

$y=\$25$

The setup fee is $25

8 0

3 years ago

Does anyone know the 3-6

Brrunno [24]

#3 is 168 and #4 is 36.

7 0

4 years ago

What is the sum

enot [183]

Answer:

17/16 or 1 1/16

Step-by-step explanation:

3/4 + 5/16

Get a common denominator of 16

3/4 *4/4 + 5/16

12/16+5/16

17/16

16/16 + 1/ 16

1 1/16

6 0

3 years ago

Read 2 more answers

2x – yl. when x = 3 and y = 10

iragen [17]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

2x-y Equation/Question

Step 2

2x-y Evaluate for x and y

2(3)-10

Step 3

2(3)-10 Simplify

6-10

answer

-4

Hope this helps

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3 years ago

What is the vertex of the parabola -2=3(x+3)^2?

Volgvan

Answer:

P(-3 , -2)

Step-by-step explanation:

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3 years ago