A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

[tex]V(t) = 14651(0.81)^{t}[/tex]

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

[tex]V(t) = 14651(0.81)^{t}[/tex]

[tex](0.81)^t = \frac{V(t)}{14651}[/tex]

[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]

(a) $8000

V(t) = 8000

[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]

The car will be worth $1000 after 12.7 years.

Answer:

12

Step-by-step explanation:

Distance from (-4,1)to (-1,1) =|-4|-|-1|=3

Side of square =3

Since each side of square is equal.

3x4=12

If vertices A (-1,1) and vertices B (-4,1) of Square ABCD then  perimeter of the square ABCD is 12 units.

The length along a line or line segment between two points on the line or line segment.

The distance between A and B is 3 units, so the distance between B and C must also be 3 units since the square has equal sides.

The coordinates of C are (-4, -2) since it is directly below B.

The distance between C and D is 5 units since it is a horizontal line between the x-coordinates of C and D.

The coordinates of D are (-1, -2) since it is directly to the right of C.

Now we have the coordinates of all four vertices

A (-1,1), B (-4,1), C (-4,-2), and D (-1,-2).

To find the perimeter, we add up the lengths of all four sides:

AB = BC = CD = AD

= √[(xB - xA)² + (yB - yA)²]

= √[(-4 - (-1))² + (1 - 1)²]

= 3

So the perimeter is P = AB + BC + CD + AD

= 3 + 3 + 5 + 3

= 14

Therefore, the perimeter of the square ABCD is 12 units.

To learn more on Distance click:

https://brainly.com/question/15172156

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Answer:

1/4

Step-by-step explanation:

Answer:

1/4 cup

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

radius is half of a diameter so that means you need to multiply 72 times 2

Answer:

Step-by-step explanation:

He eats 1/6 or 1/5 of the original cake.

All  you need to do to get the answer is multiply the denominators.

1/5 * 1/6 = 1/30

If there was something in the numerators. you would multiply them too.

So suppose the two fractions were 3/5 and 2/7

The answer would be 3 * 2 / 5 * 7 = 6 / 35

General rule

When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).

Answer:

x>-8 (Or option D)

Step-by-step explanation:

-2x+7<23 Subtract 7 from both sides

-2x<16 Now divide by -2. You also have to flip the < sign because you are dividing by a negative number

x>-8

The reasoning for D over C is because D is an open circle meaning that it is only less than or greater than. When it is a closed circle, it means less than or equal to or greater than or equal to. :)

Answer:

GHS 940,000 and GHS 1,410,000

Step-by-step explanation:

Total Ratio, thus 2+3 = 5 = 2,350,000

2/5 × 2,350,000 = 940,000

3/5 × 2,350,000 = 1,410,000

In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.

Answer: equal 5 tablespoons plus 1 teaspoon butter.

Step-by-step explanation:

Answer:

1/3 cup would equal 5 tablespoons plus 1 teaspoon butter

Step-by-step explanation:

i Hope this was the answer you was looking for. If not just go to one of my questions and take the points that you need to gain back!!!

Answer:

Part A: so the GCF is 3y, 

We need to rewrite the equation such as: 

-36 as -12 · 3, -9 as -3 · 3, 12 as 4 · 3

It will look like this: 

3x^3 y +4 · 3xy + 3 · 3x^2 y + 4 · 3 · 3y

We then need to factor out 3y:

3y(x^3 + 4x - 3x^2 - 12)

Part b: factor out completely

3y(x^3 + 4x - 3x^2 - 12)

So, we need to do the following:

3y{x^2(x-3) + 4 (x-3)}

we then get the final factor: 3y(x - 3) (x^2 + 4)

Step-by-step explanation:

The factored expression is:

[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]

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

To factor the expression:

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

The expression is:

[tex]3x^3y + 12xy - 9x^2y - 36y[/tex]

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

The numeric coefficients are: 3, 12, 9, 36

The gcf of the numeric coefficients is:

3 - 12 - 9 - 36|3

1 - 4 - 3 - 12

The gcf of the numeric coefficients is 3, as 3 is the only number by which 3, 12, 9 and 36 are all divisible.

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

The symbolic coefficients are: [tex]x^3y, xy, x^2y, y[/tex]

The only common term is y, so y is the gcf of the symbolic coefficients.

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

The gcf of the entire expression is the multiplication of the gcfs of the numeric and of the symbolic coefficients, so it is 3y.

Now, to factore the expression:

[tex]3x^3y + 12xy - 9x^2y - 36y = 3y(\frac{3x^3y}{3y} + \frac{12xy}{3y} - \frac{9x^2y}{3y} - \frac{36y}{3y}) = 3y(x^3 + 4x - 3x^2 - 12)[/tex]

The factored expression is:

[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]

A similar problem is given at https://brainly.com/question/20691631

Answer:  

Scale distance on map representation = 2.4 cm

Step-by-step explanation:

Given:

Scale factor [6 cm - 15 Km]

Actual distance = 6 km

Find:

Scale distance on map representation

Computation:

Scale distance on map representation = Actual distance[6cm / 15km]

Scale distance on map representation = 6km [6cm / 15km]

Scale distance on map representation = 36 / 15

Scale distance on map representation = 2.4 cm

Answer: 2

Step-by-step explanation:

2+2+1+3=8/4=2

Answer:

garden eel < great white shark < sea urchin < sea turtle

Step-by-step explanation:

Answer:

Cos Y = 12/13

Step-by-step explanation:

Recall, SOHCAHTOA.

Cos Y = Adjacent/Hypotenuse

Reference angle = Y

Adjacent = 12

Hypotenuse = 13

Therefore:

Cos Y = 12/13

Answer:

Can you picture the question?

Answer:

9/17

Step-by-step explanation:

there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer

Answer:

Reduced fat had the greater spread.

Step-by-step explanation:

Answer:

864√3

Step-by-step explanation:

(3√3·24²)/2

1728√3/2

864√3

1496.49189773

9514 1404 393

Answer:

  864√3 in²

Step-by-step explanation:

We presume "any method" includes the use of on-line calculators. Unfortunately, this one does not provide the exact answer in reduced form.

  A = (3/2)√3(24 in)² = 3/2×576×√3 in²

  A = 864√3 in²

Answer:

x=74

Step-by-step explanation:

Solve big triangle first 33+45= 78

78+28= 106

46764need photo ryyiouttgg

Answer:

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1

The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Answer:

B

Step-by-step explanation:

Without even trying to figure out the solution you can tell it is b, because adding and subtracting to the x's and y's results in a translation. D is wrong because it would result in a smaller figure, so it is B

Answer:

142

Step-by-step explanation:

hope this help love y all!

Answer:

A

Step-by-step explanation:

Answer:

D. 9/40 would be the answer.

Step-by-step explanation:

formula

sinQ= opp/hyp (9/41)

TanQ= opp/adj (which mean 9 /40)

Answer:

1668.2

Step-by-step explanation:

Answer:

c,e,f,

Step-by-step explanation:

The answer for this question is C, E and F .

Given that the length is 3 times the width. So firstly, you have to find the expression of length :

Let width = w,

Next, the perimeter of rectangle is P = 2(length+width) so you have to substitute the expression into the formula :

Let length = 3w

Let width = w,

have a good day /night

may i please have a branllist

Answer:

A,M,V

Step-by-step explanation:

Answer and Step-by-step explanation:

The answer is A. 0.

This is because the greatest sum of numbers can only be up to 12. (6 + 6 = 12)

No numbers, when added together from the given 2 6-sided dices, will result in 15 as the answer.

#teamtrees #PAW (Plant And Water)

Ramadan Mubarak

Answer:

0.3897

Step-by-step explanation: i g o o g l e it