A​ hot-air balloon is flying at an altitude of 2958 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 28​, how far is the house from the​ pilot?

Answer:

Hope it helps you.

Answer:

3/16

Step-by-step explanation:

3/8 / 2 = 3/16

Therefore you and your friend will each get 3/16.

Answer: $7 change remains

Step-by-step explanation: When doing rounding in word problems, in most situations you will have to round up regardless of numbers. Rounding to the nickel then means that the cents on the cash amounts must be .00 or .05 Following this pattern:

0.87 is rounded to 0.90

2.66 is rounded to 2.70

3.90 is rounded to 3.90

1.63 is rounded to 1.65

2.53 is rounded to 2.55

1.30 is rounded to 1.30

Then just add together the rounded amounts, which is $13

Simply subtract with the formula, 20-13=7

Answer: $13.55 per shirt

Step-by-step explanation:

3 for $40.65

you must first divide 40.65 by 3 to find the cost of 1 shirt which the answer is $13.55. I hope this helps! Have a good day! :)

Since we are given the price of 3 shirts, we can work backwards to do $40.65 divided by 3 to get the unit cost per shirt, in which we get $13.55.

Glad to help!

I'd appreciate if you marked this as brainliest, if not I understand :)

Answer:

Given: Volume of cone = 2464 cm3 Height of cone = 12 cm

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation is 4πr²

The radius is half the diameter so divide the diameter by 2

40÷2=20

4π(20)²=5026.55mm

Rounds to 5027

Answer

Who is your school?

Who is your class?

Who is the chapter

Answer:

1) SAS

2) ASA

3) SSS

4) AAS

Answer:

20-x

Step-by-step explanation:

you need the value of x to answer

Answer:

I think 4 years

(not sure)

Answer: 7.1 years

Step-by-step explanation:

Lets write a simple interest expression for this:

SI = P(1 + rt)

10,000 = 1,000(1 + 0.065[t])

This model is not quite complete yet, since he is adding 1200 every year. To fix this, we simply add a constant term, 1200t, where t is the number of years that have passed.

10,000 = 1,000(1 + 0.065[t]) + 1200t

Now we just need to evaluate this:

10,000 = 1,000 + 65t + 1200t

9,000 = 1265t

.: t ≅ 7.115

It will take about 7.1 years

a) The value of y₂ is 1 for the direct proportionality case.

b) The value of y₂ is 5.76 for the inverse proportionality case.

Proportionality represents a family of relationships between two variables, which can be linear and nonlinear. Direct proportionality represents a linear relationship, whereas inverse proportionality represents a kind of nonlinear relationship.

Here are two mathematical representations of the relationships described above:

[tex]y \propto x[/tex]

[tex]\frac{y_{2}}{y_{1}} = \frac{x_{2}}{x_{1}}[/tex]   (1)

[tex]y \propto \frac{1}{x}[/tex]

[tex]\frac{y_{2}}{y_{1}} = \frac{x_{1}}{x_{2}}[/tex]   (2)

If we know that x₁ = 6, x₂ = 2.5, y₁ = 2.4, then the value of y₂ for each case are, respectively:

y₂ = 2.4 × (2.5/6)

y₂ = 1

y₂ = 2.4 × (6/2.5)

y₂ = 5.76

To learn more on proportions, we kindly invite to check this verified question: https://brainly.com/question/2548537

Answer:

Pi is the number you get from dividing the circumfrence by the diameter of a perfect circle. It is important because without this, we wouldnt have perfect circles and even wheels could be disformed and cause crashes.

Answer:

Pi is an infinite number. We need it to find the area and circumference of a circle.

Step-by-step explanation:

Answer:

128 ft³

Step-by-step explanation:

given the scale factor of 2 similar solids is a : b , then

ratio of volumes = a³ : b³

here a : b = 3 : 4

then 3³ : b³ = 3³ : 4³ = 27 : 64

let x be volume of larger solid then by proportion

[tex]\frac{27}{54}[/tex] = [tex]\frac{64}{x}[/tex] ( cross- multiply )

27x = 3456 ( divide both sides by 27 )

x = 128

the volume of the larger solid is 128 ft³

Answer:

[tex]\boxed{\dfrac{y}{x}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\dfrac{1}{x} }{\dfrac{1}{y} } \ \text{can also be written as} \ \dfrac{1}{x} \div \dfrac{1}{y}[/tex]

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

[tex]\rightarrow \dfrac{1}{x} \div \dfrac{1}{y}[/tex]

Simplifying the expression using "a ÷ b = a x 1/b"

[tex]\rightarrow \dfrac{1}{x} \times y[/tex]

[tex]\rightarrow \boxed{\dfrac{y}{x}}[/tex]

Answer:

0.8 meters

Step-by-step explanation:

1 decimeter is 0.1 meters

so,

[tex]\frac{1}{0.1} = \frac{8}{x}\\x = 8*0.1\\x = 0.8[/tex]

Answer: [tex]2tan(theta)[/tex]

Step-by-step explanation:

I know this is pre-calculus, but I want to let you know what this is actually used for in real calculus. This is a method of integration called "u-substitution" which tranforms the function of 'x' into a function of 'theta'. If we allow the value of 'x' to equal 2sec(theta), we can plug this into the function to get:

[tex]\sqrt{x^2-4} =\sqrt{(2sec(theta)^2-4} =\sqrt{4sec^2(theta)-4}[/tex]

Factor out a 4 to get:

[tex]\sqrt{4(sec^2(theta)-1)}[/tex]

Take the square root of 4 to get a 2 on the outside of the radical:

[tex]\sqrt{4(sec^2(theta)-1)}=2\sqrt{sec^2(theta)-1}[/tex]

Use the trig identity below to convert the secant to tangent:

[tex]tan^2(theta)+1=sec^2(theta)[/tex]

[tex]tan^2(theta)=sec^2(theta)-1[/tex]

Therefore our expression becomes:

[tex]2\sqrt{sec^2(theta)-1}=2\sqrt{tan^2(theta)}[/tex]

The square root of tangent is simply tangent:

[tex]2\sqrt{tan^2(theta)} =2tan(theta)[/tex]

Answer:B

Step-by-step explanation:I hope it help

Answer:

white paint

Step-by-step explanation:

i took this test last week :)

Answer:

103

Step-by-step explanation:

103.3's 3 is closer to 0 than 5

Answer:

all numbers except √34

Step-by-step explanation:

the top three are whole numbers and therefore rational

Answer:

182

Step-by-step explanation:

We need to find 3/4 of 242.  To do this, multiply 3/4 by 242:

[tex]\sf \implies \dfrac34 \times 242=\dfrac34 \times \dfrac{242}{1}=\dfrac{3 \times 242}{4 \times 1}=\dfrac{726}{4}=181.5[/tex]

181.5 rounded is 182.

Therefore, approximately 182 students went on the field trip.

Step-by-step explanation:

I am always available to help, post your worry

Answer:

a) Team C - lowest average/mean

b) Team A - greatest variability/range

Step-by-step explanation:

Hope this helps!

Answer:

1)  [tex]y=x^2+2[/tex]

2)  [tex]y=x^2-4[/tex]

3)  [tex]y=x^2[/tex]

4)  [tex]y=x^2+6x+14[/tex]

Step-by-step explanation:

Question 1

Given points:  (-2, 6)  (-1, 3)  (0, 2)  (1, 3)

This is likely to be a quadratic equation with a vertex of (0, 2) since the points (-1, 3) and (1, 3) are symmetrical about x = 0

Vertex form of quadratic equation: [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex)

[tex]\implies y=a(x-0)^2+2[/tex]

[tex]\implies y=ax^2+2[/tex]

To find a, input one of the points into the equation:

[tex](1, 3)\implies a(1)^2+2=3\implies a=1[/tex]

Therefore, the equation of the graph is [tex]y=x^2+2[/tex]

Question 2

If the parabola intersects the x-axis at (-2, 0) and (2, 0) then

[tex]y=a(x+2)(x-2)[/tex]

We are told that the y-intercepts if (0, -4).  Input this into the equation to find a:

[tex]\implies a(0+2)(0-2)=-4[/tex]

[tex]\implies -4a=-4[/tex]

[tex]\implies a=1[/tex]

Therefore,

[tex]\implies y=(x+2)(x-2)[/tex]

[tex]\implies y=x^2-4[/tex]

Question 3

Given points: (-2, 4)  (-1, 1)  (0, 0)  (1, 1)

This is likely to be a quadratic equation with a vertex of (0, 0) since the points (-1, 1) and (1, 1) are symmetrical about x = 0

Vertex form of quadratic equation: [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex)

[tex]\implies y=a(x-0)^2+0[/tex]

[tex]\implies y=ax^2[/tex]

To find a, input one of the points into the equation:

[tex](-2,4)\implies a(-2)^2=4\implies a=1[/tex]

Therefore, the equation of the graph is [tex]y=x^2[/tex]

Question 4

[tex]f(x) = x^2 + 5[/tex]

If we wish to move the function to the left by 3 units, we substitute x for [tex]x+3[/tex]:

[tex]\begin{aligned}\implies f(x+3) & =(x+3)^2+5\\ & = x^2+6x+9+5\\ & = x^2+6x+14\end{aligned}[/tex]

[tex]\implies y=(x+3)^2+5[/tex]

Answer:

D, n=16b

Step-by-step explanation:

There are 16 busses, each of which can hold 16 seats. There are n of those busses.

Therefore, 16*n = the total number of seats on the busses altogether.

Answer:

I'm sorry I don't know

Step-by-step explanation:

hopefully someone solves this!

The 9th term of the geometric sequence will be 41,990,400.

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The sequence is given below.

25, 150, 900, .....

The first term is 25 and the common ratio is calculated as,

r = 150 / 25

r = 6

Then the 9th term of the sequence is given as,

a₉ = 25 · (6)⁹⁻¹

a₉ = 25 · (6)⁸

a₉ = 25 · 1,679,616

a₉ = 41,990,400

The 9th term of the geometric sequence will be 41,990,400.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

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The lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.

All the expenduture and charges charged by a lander and other parties is called the closing cost.

A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000.  Thus, the estimate closing cost is,

[tex]C_{ec}=\dfrac{3.75}{100}\times120000\\C_{ec}=4500[/tex]

The actual closing costs are listed below.  

The total annual cost is,

[tex]C= $300 +$600 +$1,250 +$550 +$525 +$125 +$2,000\\C=4800[/tex]

Total annual cost is $300 more than the estimate closing cost. In the percentage form,

[tex]p=\dfrac{4800-4500}{4500}\times100\\p=6.66\%[/tex]

Thus, the lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.

Learn more about the closing cost here;

https://brainly.com/question/20108287

Answer:

Its D trust me

I got it right from the other person

Answer:

Hello Camila Sofia Pazos Motta, you have to divide by pi, not 3.

Step-by-step explanation: