Worth 10 points pls help

Help pls this assignment has to be turned in by today

Papessa [141]

Answer:

v = 21

Step-by-step explanation:

the sum of the interior angles of a triangle is 180 degrees

add all 3 angle measures and set equal to 180:

4v + 2v + 54 = 180

6v = 126

v = 21

4 0

3 years ago

What is the maximum value?

Pavel [41]

Answer:

the maximum value is 3

Step-by-step explanation:

The maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.

5 0

4 years ago

Find the sum of the first four terms of the geometric sequence shown below. 4, 4/ 3, 4/9, ...

user100 [1]

It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

$S_4=4+\dfrac43+\dfrac49+\dfrac4{27}$

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.

Multiply the sum by 1/3 and you have

$\dfrac13S_4=\dfrac43+\dfrac49+\dfrac4{27}+\dfrac4{81}$

Now subtracting this from $S_4$ gives

$S_4-\dfrac13S_4=4-\dfrac4{81}$

That is, all the matching terms will cancel. Now solving for $S_4$ , you
have

$\dfrac23S_4=4\left(1-\dfrac1{81}\right)$
$S_4=6\left(1-\dfrac1{81}\right)$
$S_4=\dfrac{480}{81}=\dfrac{160}{27}$

3 0

4 years ago

Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)

olasank [31]

Answer:

$x = 15 \: \: .....(5(15)- 14) = 61$

$(9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15$

6 0

3 years ago

For how many movies is the cost of the plans the same?

sesenic [268]

Answer:

For 36 movies the cost of both the plans is same.

Step-by-step explanation:

Let us assume foe m movies, both the plans cost same.

Now, PLAN A:

Annual Fee = $45

Cost per movie = $2.50

⇒The cost of watching m movies = m x (Cost of 1 movie)

= m x ($2.50) = 2.5 m

So, the total cost of Plan A = Annual Fee + Cost of m moves

= 45 + 2.50 m

PLAN B:

Cost per movie = $3.75

⇒The cost of watching m movies = m x (Cost of 1 movie)

= m x ($3.75) = 3.75 m

ACCORDING TO QUESTION:

for m movies, Cost of plan A = Cost of plan B

⇒45 + 2.50 m = 3.75 m

or, 3.75 m - 2.5 m = 45

or, m = 45/1.25 = 36

or, m = 36

Hence, for 36 movies the cost of both the plans is same.

5 0

3 years ago