The sum of two consecutive integers is 471.<br><br> what is the equation

Your car cost $42,500 when you purchased it in 2015. The value of the car decreases by 15% annually. How much is your car going

Vika [28.1K]

Answer:
$16,028.85

Working out:
(On calculator) 42,500 x 0.85^6

3 0

3 years ago

I need help with these two problems

erastova [34]

Number 5 is 15.9 kilograms

And number 6 is 6 million cubic feet per minute

You just cross multiply

5 0

3 years ago

Solve the triangle.

vova2212 [387]

9514 1404 393

Answer:

b = 71 m

A = 83°

C = 29°

Step-by-step explanation:

Many calculators can solve triangles. Apps are available for phone and tablet, or on the internet, like the one used here. In general, it takes less time to use one of these than to type your question into Brainly.

Given two sides and the angle between them, the Law of Cosines is the appropriate relation to use for finding the third side.

b = √(a² +c² -2ac·cos(B))

b = √(76² +37² -2·76·37·cos(67.75°)) ≈ √5015.48

b ≈ 70.82005 ≈ 71 . . . meters

__

One a side and its opposite angle are known, the remaining angles are found using the Law of Sines.

sin(A)/a = sin(B)/b

A = arcsin(a·sin(B)/b) = arcsin(76·sin(67.75°)/70.82005) ≈ 83.33°

A ≈ 83°

C = arcsin(37·sin(67.75°)/70.82005) ≈ 28.92°

C ≈ 29°

Or, you can find the remaining angle from 180° -68° -83° = 29°.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=tan20%2B4sin20%3D%5Csqrt%7B3%7D" id="TexFormula1" title="tan20+4sin20=\sqrt{3}" alt="tan20+4si

zepelin [54]

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

5 0

2 years ago

Find the value of x that make it true

lesantik [10]

Answer:

Step-by-step explanation:

1). 10 = $\frac{1+7x}{7+x}$

10(7 + x) = 1 + 7x

70 + 10x = 7x + 1

10x - 7x = 1 - 70

3x = -69

x = -23

2). 0.2 = $\frac{6+2x}{12+x}$

0.2(12 + x) = 6 + 2x

2.4 + 0.2x = 6 + 2x

2.4 - 6 = 2x - 0.2x

1.8x = -3.6

x = -2

3). 0.8 = $\frac{x}{x+0.5}$

0.8(x + 0.5) = x

0.8x + 0.4 = x

x - 0.8x = 0.4

0.2x = 0.4

x = 2

4). 3.5 = $\frac{4+2x}{0.5-x}$

3.5(0.5 - x) = 4 + 2x

1.75 - 3.5x = 4 + 2x

-3.5x - 2x = 4 - 1.75

-5.5x = 2.25

x = - $\frac{2.25}{5.5}$

x = - $\frac{9}{22}$

6 0

3 years ago

The sum of two consecutive integers is 471. what is the equation