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Margarita [4]
3 years ago
15

In this triangle, the product of sin B and tan C is (answer)

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Step-by-step explanation:

first one c/a

second one b/a

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The sum of the first three terms of a sequence is 6 and the fourth term is 16
Sati [7]

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    \boxed{\bold{a_n=7n-12}}

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}

6 0
3 years ago
B(n)=-1(2)n-1 what's the 5th term in the sequence
Katena32 [7]
B5 = -1 x (2 ^ 5 - 1)
B5 = -1 x (2 ^ 4)
B5 = -1 x 16
B5 = -16

8 0
3 years ago
The graph below shows a system of equations: y = -x - 2 and y = 2x - 5. The x-coordinate of the solution to the system of equati
sergey [27]

ANSWER

The x-coordinate of the solution to the system of equations is 1.

EXPLANATION

The given equations are:

y = -x - 2

and

y = 2x - 5.

We want to find the x-coordinate of the solution to the system of equations.

We equate the two equations to obtain an equation in x.

This implies that,

2x-5=-x-2

Group similar terms to obtain:

2x+x=-2+5

Simplify

3x=3

Divide both sides by 3.

x=1

The x-coordinate of the solution to the system of equations is 1

4 0
3 years ago
rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the
zheka24 [161]

Answer:

  • 7000ft

Step-by-step explanation:

let's break down 2,000,000 into its multiples,

Multiples of 2,000,000= 2⁷ × 5⁶

Using above values to find different combinations of length(l) and breadth (b) of rectangle and corresponding parameter of rectangle

  • l=5,   b=400,000  ,parameter= 2(5) + 2(400,000)= 800,010, total length of fence required= parameter+ side with shortest length= 800,015
  • l=2   b=1,000,000 parameter= 2,000,004, shortest fence required= 2,000,008
  • l=4,  b= 500,000 parameter= 1,000,008, shortest fence required= 1,000,012
  • From above, we can see a trend that the parameter of rectangle decreases if length and breadth are increased provided that area is constant. So, a rectangle will have shortest parameter if all of its sides are equal.
  • length of side of rectangle with shortest possible parameter= 2^3 ×5^3= 1000 and breadth of side of rectangle with shortest possible parameter= 2^4× 5^3=2000
  • Shortest possible length of fence= 2(2000)+2(1000)+1000=7000ft

4 0
3 years ago
Read 2 more answers
At full price, Melvin would pay 1.6791.6791, point, 679 dollars per liter of gasoline. Using his loyalty card, Melvin only pays
aksik [14]

Answer:

$0.24

Step-by-step explanation:

Given:

At full price, Melvin would  pay for per liter of gasoline =  $1.679

Using his loyalty card, Melvin only pays = $1.439

Question asked:

How much less does Melvin pay per liter using his loyalty card?

Solution:

At full price, Melvin would  pay for per liter of gasoline =  $1.679

Using his loyalty card, Melvin only pays = $1.439

To find that that how much less amount Melvin pay for per liter of gasoline using his loyalty card, we will subtract the payment using loyalty card from payment without using loyalty card.

$1.679 -  $1.439 = $0.24

Therefore, $0.24 less amount Melvin pay for per liter of gasoline using his loyalty card.

5 0
3 years ago
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