A hot-air ballon is flying at an altitude of 2828 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 32°,how far is the house from the pilot

How far is the house away from the pilot in feet ( do not round until the final answer, Then round to the nearest tenth as needed)

Answer:

20 dollars

Step-by-step explanation:

I think 20+20+20=60 then 60-40=20

312 ft²

3 rectangles

2 triangles

4 yd = 12 ft

A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2

= 48ft² + 96ft² + 120ft² + 48ft²

= 312 ft²

Answer:

336

Step-by-step explanation:

Got it right

You are welcome :)

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

9.9924 liters

Step-by-step explanation:

there are 3.785 liters in one gallon

multiply 3.785 liters times 2.64

that comes out to 9.9924 liters

Answer:

1. 1,200 people

2. 95

3. true proportion of adults who

Step-by-step explanation:

Answer:

(1,1)

Step-by-step explanation:

sub y = x - 1 into equation 1

2x + x - 1 = 5

3x = 6

x = 2

sub x = 2 into equation 2

y = 2 - 1

y = 1

Two angles and a side of a triangle are equal in these two triangles thus these triangles are congruent.

Angles in a right triangle are easily calculated. A right triangle has a right angle, often known as a 90 angle. The angle sum formula, which asserts that the sum of the angles in a triangle is always equal to 180 degrees, can be used to quickly determine the missing angle given one other angle of the triangle is known.

Given, two triangles in the figure. Where we can see that one side of that triangle is the same that is 4. and one angle is 90 degrees in both triangles and one angle is the same as shown in the figure.

Thus we can say that one side and two angles of the given triangle are equal.

Since Triangles are said to be congruent if two of one triangle's angles and one of its sides are equal to those of another triangle. This indicates that we are given a triangle's two given angles as well as one side that is not the side next to the two supplied angles. Such a triangle can be resolved by utilizing the Law of Sines to determine each of the other two sides and the Angles of a Triangle to determine the other angle.

Therefore, These two triangles are congruent because they have two equal angles and one equal side.

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At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

12ft \(\times\)7ft \(\times\)6ft

Step-by-step explanation:

Given that truck can hold = 504 \(ft^{3}\) i.e.

Volume, V = 504 \(ft^{3}\)

Length of cargo space = 12 ft

Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

Formula for Volume of Cargo Space:

V = Length \(\times\) Width \(\times\) Height

Putting the given values and conditions:

504 = 12 \(\times\) \(w \times (w-1)\)

\(\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6\)

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft \(\times\)7ft \(\times\)6ft.

Answer:

70 times.

Step-by-step explanation:

The following data were obtained from the question:

SHAPE >>>>>>>>>>>>> FREQUENCY

Oval >>>>>>>>>>>>>>> 18

Rectangle >>>>>>>>>> 14

Star >>>>>>>>>>>>>>> 8

TOTAL >>>>>>>>>>>>> 40

next, we shall determine the probability of chosing a rectangular cracker. This is illustrated below:

Event of Rectangle (nR) = 14

Sample space (S) = 40

Probability of chosing rectangle, P(R) =?

P(R) = nR/nS

P(R) = 14/40

P(R) = 7/20

Therefore, the probability of chosing a rectangular cracker is 7/20.

Thus, if the process were carried out 200 times, the probability of chosing a rectangular cracker will be:

= P(R) × 200

P(R) = 7/20

= 7/20 × 200

= 70

Therefore, max will chose a rectangular cracker 70 times.

Answer:

0.966

Step-by-step explanation:

When typed into a calculator, sin75 = -0.3877816354

Upon converting to degrees, the full answer is 0.96592582628

The value of f(g(2)) from the given functions f(x) and g(x) is 3.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(x)=2x²+1 and g(x)=3x-5.

We need to find f(g(2)).

Put x=2 in the function g(x)=3x-5, we get

g(2)=3×2-5

= 6-5

= 1

So, g(2)=1

Put x=1 in the function f(x)=2x²+1, we get

f(g(2))=2(1)²+1

= 2+1

=3

Therefore, the value of f(g(2)) is 3.

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We know that there were 13 M&Ms in total.

Where r represents red M&Ms, and b represents brown M&Ms.

"There was one more red M&M than brown M&M", we can express this as

Then, we combine the equations we've got to solve for b

Then, we find r

Step-by-step explanation:

8 km = 5 miles

32.7 km = x miles

x = (32.7 × 5)/8

x = 163.5/8 = 20.4375 = 20.44 miles

Answer:

23%

Step-by-step explanation:

Divide:

250/1050

The remaining portion of the sheet from the overall length is 10.16 units.

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.

Given that the overall length of the sheet is 18 5/ 8 = 149 / 8.

The two pieces removed are:

8 1/2 =17/ 2 and

7 9/16 = 121 / 16 inches.

The sawcut removed 1/16.

For two pieces we have two saw cuts thus, 2(1/16) = 1/8 inches.

The remaining portion is:

R = 149 / 8 - 17/2 - 121/6 - 1/8

R = 447 - 204 - 484 - 3 / 24

R = 10.16

Hence, the remaining portion of the sheet is 10.16 units.

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Theta is the angle between the force and the direction of movement. In this case, theta is 0 degrees because the force is acting in the same direction as the movement. it will take Bob,   \(16248\) Joules of work to climb the pole.

To find the work required for Bob to climb the flag pole, we need to use the formula:

Work = Force x Distance x Cos(theta)

where:

Force   \(= 677 N\) (the force required to climb the pole)

Distance = 24 m (the height of the pole)

Cos(theta) = 1 (assuming Bob climbs straight up, the angle between the force and the displacement is zero)

Therefore, the work required for Bob to climb the pole is:

Work \(= 677 N \times 24 m \times \cos (0)\)

Work \(= 16,248\)  joules (J)

Therefore, So it will take Bob \(16,248\)  J of work to climb the flag pole.

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Answer:

31.55+5.45

Step-by-step explanation:

4.55+27 would go to 31.55

31.55+5.45

Answer: 37

Step-by-step explanation:

4.55 + 27 = 31.55

31.55 + 5.45 = 37

Answer: 16.75

Step-by-step explanation:

Answer:

16.75

Step-by-step explanation:

To find the mean, add up all the number

18+20+16+13

67

Then divide by the number of quizzes

67/4

16.75

The statement that the one with a higher coefficient of variation exhibits higher variability is true.

The coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.

If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.

To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.

The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.

The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.

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Based on the information provided, it seems that Amanda has drawn a rectangle. A rectangle is a type of quadrilateral where every angle is a right angle, and opposite sides are parallel and congruent.

Since every side of Amanda's quadrilateral is perpendicular to every other side and the side lengths are not all the same, it can be inferred that the shape is a rectangle, and the length and width are different.

As for the question of the number of lines of symmetry, a rectangle has two lines of symmetry, one horizontal and one vertical. This means that if you were to fold the rectangle along either of these lines, the two resulting halves would be congruent.

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Answer:

C

Step-by-step explanation:

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

From the graph, the x coordinate 2, have a y coordinate of 120. Hence:

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

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Step-by-step explanation: One gallon can of paint will cover up to 400 square feet, which is enough to cover a small room like a bathroom. Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room.

Hope this help

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )