In a right triangle ∠A = 32° with an adjacent side of 44 what is the length of the opposite side, x?

Answer:

[tex]d = 3h - 6[/tex]

Step-by-step explanation:

Step 1:  Solve for d

I am assuming that you are asking for me to solve for the variable d.  Let me know if what I am doing is not what you want.

[tex]h = \frac{d}{3} + 2[/tex]

[tex]h - 2 = \frac{d}{3} + 2 - 2[/tex]

[tex](h - 2) * 3 = \frac{d}{3} * 3[/tex]

[tex]3h - 6 = d[/tex]

Answer:  [tex]d = 3h - 6[/tex]

9514 1404 393

Answer:

  4 days

Step-by-step explanation:

The total charges can be modeled by ...

  c = 75d + 75 . . . . . . charges for d days

Filling in the given charge, we find ...

  375 = 75d +75

  300 = 75d . . . . . . . subtract 75

  4 = d . . . . . . . . . . divide by 75

Chris rented the car for 4 days.

Answer:

4 DAYS!! THIS GETS ALL 3 MARKS!!!

Step-by-step explanation:

Chris rents a car for a total of £375. The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car? You must show your working.

£375.00 - £150.00 = £225.00

£225.00 - £75.00 = £150.00

£150.00 - £75.00 = £75.00

£75.00 - £75.00 = £00.00

= Chris rented the car for 4 days

225.00 ÷ 75 = 3

3 days + 1 days = 4 days

he total charges can be modeled by ...

c = 75d + 75 . . . . . . charges for d days

Filling in the given charge, we find ...

375 = 75d +75

300 = 75d . . . . . . . subtract 75

4 = d . . . . . . . . . . divide by 75

Answer:4 days

Total=375

150+(75×4)=150+75+75+75=375

4 days

Step-by-step explanation:

An economy is made up of every single activity that has to do with production, consumption, and the buying and selling of goods or rendering services.

In an economy there are combinations of market transactions and decisions made collectively or in hierarchy. Individuals, families, businesses, governments make up the decision-making process.

Money is the legal tender of an economy. It is the medium of exchange that an economy uses for transactions.

Answer:

True

Step-by-step explanation:

When two lines are parallel, the corresponding angles formed by the transversal (intersecting line) are congruent. This is called the corresponding angles postulate. It can be used in reverse: if two corresponding angles are congruent, then the non-transversal lines are parallel.

Answer:

Step-by-step explanation:

Angles 4 and 5 are corresponding; this means that they are sitting in the same places within their angle "bunch" for lack of a better word. We are then told that they are are congruent which means that they have the exact same measure. Corresponding angles can exist without being congruent, but because they are, that means that A and B HAVE to be parallel. So true.

Answer:

x < 21

Step-by-step explanation:

x - 5 < 16

x < 21           Add 5 to both sides

Answer:

B. x < 21

Step-by-step explanation:

x - 5 < 16

  +5    +5

x      <  21

The answer would be B.

Answer:

16

Step-by-step explanation:

Her account balance on the sixth day is sixteen. This is because -54 +75 is 21 then you subtract 5 and get 16. (15 times 5 is 75)  

Answer:

16

Step-by-step explanation:

Starting balance: -54

Deposits +15

                +15

                 +15

                 +15

                +15

for a  total of +75

-54+75 = 21

Maintenance fee: - 5

21 - 5 = 16

Answer:

$11,400

Step-by-step explanation:

3,000+14(600)=11,400

We know that it expands by $600 a year and we are looking for the salary during the 15th year.  During the 15th year, it could be using the salary of the 14th year since it is during not after.  We then add that to the base salary of $3,000 so then we have $11,400.

Answer:

X= 7/2

Step-by-step explanation:

Multiply first equation by -2 and second equation by 1

-2(4x+7y=-14)

1(8x+5y= 8)

= -8x -14y =28

8x+5y=8

Add these equations to eliminate X:

-9y=36

-9y/-9 = 36/-9

y=- 4

Plug in Y to find X

4x + 7y = -14

4x+7(-4) = -14

4x-28+28= -14+28

4x= 14

X= 7/2

Answered by Gauthmath

Answer: x=3 and 1/2

Step-by-step explanation: Happy to Help (0.<)

Answer:

Hello,

answer C : -3x²-3x-2=0 (or 3x²+3x+2=0)

Step-by-step explanation:

A: delta=12²-4*2*18=0 not negative

B: delta= 5²+4*3*1=37 not negative

C: 3x²+2x+2=0, delta=2²-4*3*2=16-24=-8 is negative: roots are complex

D: delta 16²-4*2*2=240 not negative

Answer:

[tex]\frac{3x}{4x} =\frac{3x+7}{5x-8}[/tex]

[tex]\frac{3}{4} =\frac{3x+7}{5x-8}\: (cross\: multiply)[/tex]

[tex]3(5x-8)=4(3x+7)[/tex]

[tex]15x-24=12x+28\\+24~~~~~~~~~~~~+24[/tex]

[tex]15x=12x+52\\-12x~~~~-12x\\-------\\3x=52[/tex]

[tex]\frac{3x}{3} =\frac{52}{3}[/tex]

[tex]x=52/3[/tex]

[tex]Answer:C[/tex]

-------------------------

Hope it helps...

Have a great day!!

Answer:

90°

Step-by-step explanation:

Rotation counterclockwise means the rotating an object over a fixed point in the opposite direction of our normal wall clock.

To get exact position of shoe B, shoe A would be rotated in about 90° in the opposite direction of a clock.

Thus, shoe A was rotated 90° about a fixed point to create shoe B.

Answer:

x = -7/b

Step-by-step explanation:

bx = -7

Divide each side by b

bx/b = -7/b

x =-7/b

Solve the equation for x : bx = -7

Here we are provided to find for x so from the equation by cross multiplying we will remove b to the right hand side of the equation and then we can get x

bx = -7

Now, to cross multiply

x = -7/b

Therefore, the required answer is -7/b

Answer:

nepal is a land locked country.it is surrounded by india from eas west and south and chime form north

according to ecological fivison it is divided into three region

1.terai

2.hilly

3. himalyan

In hilly region there is more production of crops and vegetables . peplo come in terai region to sell vegetables and they do work with unity .

thry have their own work.so they work in unity which help to terai region grow crops and hilly region sell it in Himalayan region from which terai help to grow crops usually there is a fertile land and it occupies 42%.

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Answer:

1) -1

2) 3

3) 2

Answer:

x² - 4x - 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(-3 + 4x² - 4x) + (-1 - 3x² - 4)

Step 2: Simplify

Answer:

See below

Step-by-step explanation:

Step 1

x^2 – 30x = –125

-30/2 = -15

(-15)^2 = 225

Step 2

x^2 -30x+225 = -125+225

(x-15)^2 = 100

Step 3

Take the square root of each side

sqrt((x-15)^2) = sqrt(100)

Step 4

x-15 = ±10

x-15 =10    x-15 = -10

x= 10+15    x = -10 +15

x = 25      x = 5

Answer:

112 in^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 14*7 =98

Then find the area of the triangle

A = 1/2 bh = 1/2 (18-14) *7 = 1/2 (4)*7 = 14

Add the areas together

98+14 =112

Hello!

[tex]\large\boxed{A = 112in^2}[/tex]

We can use the formula for the area of a trapezoid to solve:

A = 1/2(b1 + b2) · h

Thus:

A = 1/2(18 + 14) · 7

Simplify:

A = 1/2(32) · 7

A = 16 · 7

A = 112 in²

Answer:

64

Step-by-step explanation:

1=879=96889=

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the angle, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.

sin(x) = 21/40

x = sin^-1(21/40)

x = 32 degrees

Hope this helps!

Answer:

The customer will pay along with VAT = Rs 3767.4

Step-by-step explanation:

Cost price of an electric fan = 2800

Pirce after 30% above the cost price = 2800 + (30% of 2800 = 3640

Selling price after 10% discount = 3640 - (10% of 3640) = 3276

Now 15% VAT = 3276 x 15%

15% VAT = 491.4

The customer will pay along with VAT = 3276 + 491.4  

The customer will pay along with VAT = Rs 3767.4

Answer:

StartFraction negative 1 Over k cubed EndFraction

Step-by-step explanation:

3k / (k + 1) × (k²- 1) / 3k³

= 3k(k² - 1) / (k + 1)(3k³)

= 3k³ - 3k / 3k⁴ + 3k³

= -3k / 3k⁴

= -1/k³

StartFraction k + 1 Over k squared EndFraction

(k + 1) / k²

StartFraction k minus 1 Over k squared EndFraction

(k - 1)/k²

StartFraction negative 1 Over k cubed EndFraction

= -1/k³

StartFraction 1 Over k EndFraction

= 1/k

Answer:

B: k - 1 / k^2

Step-by-step explanation:

Answer:

- 3 / 10

Step-by-step explanation:

- 9 / 10 - ( - 3 / 5 )

= - 9 / 10 + 3 / 5

= 3 / 5 - 9 / 10

= 6 / 10 - 9 / 10

= ( 6 - 9 ) / 10

= - 3 / 10

Answer:

[tex]4=1/2gt^{2}[/tex]

Multiply equation by 2/g

4(2/g) = t²

t = √(8/g)

t = 2√(2/g)

[tex]answer:t=\sqrt{\frac{8}{g} }[/tex]

OAmalOHopeO

Answer:

3

Step-by-step explanation:

since the diagonal are equal in length

6x-8=2x+4

4x=12

x=3

Answer:

GHI is congruent to HGW

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Equilibrium price for widgets = 13.22

Step-by-step explanation:

At equilibrium, quantity demand, Qd = quantity supplied, Qs

Demand

P = 14 – 0.39Q

P - 14 = - 0.39Q

Q = (P - 14) / - 0.39

Supply

P = 0.61Q + 12

P - 12 = 0.61Q

Q = (P - 12) / 0.61

Qd = Qs

(P - 14) / - 0.39 = (P - 12) / 0.61

Cross product

(P - 14) * 0.61 = - 0.39 * (P - 12)

0.61P - 8.54 = - 0.39P + 4.68

0.61P + 0.39P = 4.68 + 8.54

P = 13.22

Check

Q = (P - 14) / - 0.39

= (13.22 - 14) / - 0.39

= -0.78 / -0.39

= 2

Q = (P - 12) / 0.61

= (13.22 - 12) / 0.61

= 1.22 / 0.61

= 2

Therefore,

Equilibrium price for widgets = 13.22

Equilibrium quantity = 2

Answer:

XY = 12

Step-by-step explanation:

The midsegment XY is half the length of the base CE , that is

XY = [tex]\frac{1}{2}[/tex] × 24 = 12

Answer:

The correct answer for this question is letter "(B) There are four diagonals." It is not a property of quadrilaterals.

Answer:

b

it has 2 diagonals crossing each other