Use the Law of Cosines to solve for the side BC. Round your answer to the point
nearest whole number. Write the value only *

Answer: x=-6 1/4

Step-by-step explanation:

Answer:

t≈

5.1

Step-by-step explanation:

A=99000 P=70000 r=0.068 n=365

Given values

99000

70000

(

1

+

0.068

365

)

365

t

70000(1+

365

0.068

​

)

365t

Plug in values

99000

=

99000=

70000

(

1.0001863

)

365

t

70000(1.0001863)

365t

Simplify

99000

70000

=

70000

99000

​

=

70000

(

1.0001863

)

365

t

70000

70000

70000(1.0001863)

365t

​

Divide by 70000

1.4142857

=

1.4142857=

1.000186

3

365

t

1.0001863

365t

log

⁡

(

1.4142857

)

=

log(1.4142857)=

log

⁡

(

1.000186

3

365

t

)

log(1.0001863

365t

)

Take the log of both sides

log

⁡

(

1.4142857

)

=

log(1.4142857)=

365

t

log

⁡

(

1.0001863

)

365tlog(1.0001863)

Bring exponent to the front

log

⁡

(

1.4142857

)

log

⁡

(

1.0001863

)

=

log(1.0001863)

log(1.4142857)

​

=

365

t

log

⁡

(

1.0001863

)

log

⁡

(

1.0001863

)

log(1.0001863)

365tlog(1.0001863)

​

Divide both sides by log(1.0001863)

1860.731865

=

1860.731865=

365

t

365t

Use calculator

1860.731865

365

=

365

1860.731865

​

=

365

t

365

365

365t

​

Divide by 365

5.0978955

=

5.0978955

It would take 5 year for the value of the account to reach $99,000.

The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.

Given:

P = $70000

R= 6.8%

SV = $99000

For Compounded Daily

A = P [tex](1+ (R/100)/ 365) ^{365n[/tex]

99000 = 70000 [tex](1+ (0.068/100)/ 365) ^{365n[/tex]

[tex](1+ (0.068/100)/ 365) ^{365n[/tex] = 1.414

[tex](1. 00019)^{365n[/tex] = 1.414

[tex]1.072^n[/tex] = 1.414

and, n=5 years

Hence, it would take 5 year for the value of the account to reach $99,000.

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Answer:

1374

Step-by-step explanation:

delta math

The length of the side k in the given triangle is 1,373.9 cm.

The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.

Given that, in ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°, we need to find the length of side k,

Using the cosine law,

k² = l²+m² - lmCos169°

= 820²+560²-(820)(560)cos169°
= 1,373.9

Hence, the length of the side k in the given triangle is 1,373.9 cm.

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Answer:

y = 3x -2

Step-by-step explanation:

The general equation form is;

y = mx + b

where m is the slope and b is the y-intercept

For the equation given;

y = 3x -5

the slope from here is 3

If two lines are parallel, they have equal slopes

This mean that the slope of the line we want to calculate too is 3

Now we can use the point slope format to get the correct equation

y-y1 = m(x-x1)

y+ 5. = 3(x+ 1)

y = 3x + 3 -5

y = 3x -2

Answer:

Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.

Step-by-step explanation:

the answer is : a=9 and b=-1

Answer:

-2

Step-by-step explanation:

-4-(-2) = -2

-6-(-4) = -2

Answer:

12

Step-by-step explanation: 18/3=6 6(2)= 12

Answer:

  n = - 0.0833

Step-by-step explanation:

Given  expression

             [tex]\frac{-2}{3n } +7 = 15[/tex]

Cross multiplication , we get

           [tex]\frac{-2}{3n } = 15 -7[/tex]

          [tex]-2 = 8 X 3 n[/tex]

  ⇒   [tex]\frac{-2}{24} = n[/tex]

     n = - 0.0833

Answer:

Step-by-step explanation:

I dunno wether addition or multiplication, if it's multiplication, it would be 36.75 if it's addition, then it's 24

Answer:

AA~

Step-by-step explanation:

These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.

The two triangles are similar triangles using AA postulate.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given one of the angles in both the triangles is equal to 53°, the other angle is 90°, which are also the vertical angles to each other. As shown below.

Hence, the two triangles are similar triangles using AA postulate.

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Answer:

Step-by-step explanation:

Answer:

= 2 and 5

Step-by-step explanation:

( 4 - 7x ) + ( 2x - 2 ) = 0

4 - 7x = 2x - 2 = 0

-7x -2x - 2 + 4 = 0

  -5x   - 2   = 0

-5 x = 0                  or             -2 = 0

x = 5                                       x = 2

Answer:

Step-by-step explanation:

Bringing like terms on one side

38 + 10 < 4x

48 < 4x

48/4 < x

12 < x

Answer:

A. President Millard Fillmore

Answer:

Answer below

Step-by-step explanation:

I really hope it works

Answer:

Train A is 287 tons

Train B is 94 tons

Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

Answer:

The solution to the system of equations is:

[tex]x=10,\:y=4[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}5x-4y=34\\ -x+8y=22\end{bmatrix}[/tex]

Multiply -x+8y=22 by 5:  -5x+40y=110

[tex]\begin{bmatrix}5x-4y=34\\ -5x+40y=110\end{bmatrix}[/tex]

so adding the equations

[tex]-5x+40y=110[/tex]

[tex]+[/tex]

[tex]\underline{5x-4y=34}[/tex]

[tex]36y=144[/tex]

solve 36y = 144 for y:

[tex]36y=144[/tex]

divide both sides by 36

[tex]\frac{36y}{36}=\frac{144}{36}[/tex]

Simplify

[tex]y=4[/tex]

For 5x-4y=34 plug in y=4

[tex]5x-4\cdot \:4=34[/tex]

[tex]5x-16=34[/tex]

Add 16 to both sides

[tex]5x-16+16=34+16[/tex]

Simplify

[tex]5x=50[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{50}{5}[/tex]

Simplify

[tex]x=10[/tex]

Therefore, the solution to the system of equations is:

[tex]x=10,\:y=4[/tex]

Answer:

0.08522

Step-by-step explanation:

Answer:

the answer is A which 2(1/7)

The perimeter of the rectangle is 70cm.

Perimeter is the total length of the sides of a two-dimensional shape.

Perimeter of the square is given by

P = 4a

where,

a is the side length of the square.

P is the perimeter of the square.

Perimeter of the rectangle is given by

P = 2( l + b)

Where,

l is the of the rectangle

b is the breadth of the the rectangle

According to the given question.

We have the perimeter of the square is 20cm.

⇒ 4a = 20

⇒ a = 5cm

⇒ Each side length of the square is 5cm

And a rectangle made of 10 squares.

⇒ length of the rectangle = 5×5 = 25cm

and the breadth of the rectangle = 2 × 5 = 10cm

Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm

Hence, the perimeter of the rectangle is 70cm.

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Answer:

10 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.

Answer:

y=-15

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Answer:

x = 3

Step-by-step explanation:

3 ( x + 3 ) = 18

( 3 ) ( x ) + ( 3 ) ( 3 ) = 18

3x + 9 = 18

3x + 9 − 9 = 18 − 9

3x = 9

3x/3 = 9/3

x=3

I hope this helps you :D

Answer:

20 5-point questions and 10 10-point questions

Step-by-step explanation: