PLEASE HELP ME I NEED THE ANSWER NOW !!!!

Answer:

Height of Flagpole: 24.03 feet

Length between tip of flagpole and tip of shadow: 46.67 feet

Step-by-step explanation:

So the angle of elevation (31°) is facing directly opposite of the flagpole. The shadow of the flagpole (40 ft) is adjacent to the angle of elevation. Therefore, the tangent function incorporates both the opposite and adjacent sides of the right triangle created. We would then make the equation and solve for the height of the flagpole which is the opposite side (h in this case):

tanθ = opposite/adjacent

tan(31°) = h/40

40tan(31°) = h

24.03442476 = h

h ≈ 24.03

Therefore, the height of the flagpole is about 24.03 ft.

As for your bonus question, the length of the tip of the flagpole to the tip of the shadow would be the hypotenuse of the triangle created, which can easily be found using the Pythagorean Theorem (using exact values):

a² + b² = c²

(40tan(31))² + (40)² = c²

577.6535736 + 1600 = c²

2177.6535736 = c²

46.66533589 = c

c ≈ 46.67

Therefore, the length from the tip of the flagpole to the tip of the shadow is 46.67 ft.

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Answer:

  (x, y, z) = (2+44t, 2+14t, 7-20t)

Step-by-step explanation:

One way to write parametric equations for line L is ...

  L = P + t·v

where P is the given point and v is the given direction vector. Using that form, we have ...

  (x, y, z) = (2+44t, 2+14t, 7-20t)

__

If you like, you can remove a common factor of 2 from the coefficients of t.

  (x, y, z) = (2+22t, 2+7t, 7-10t)

Answer:

[tex]236.715\:\mathrm{ft^2}[/tex]

Step-by-step explanation:

The area of the figure consists of a rectangle and two half-circles.

Area of rectangle: [tex]15\cdot 4=60[/tex]

Area of two half-circles: [tex]2\cdot \frac{1}{2}\cdot 7.5^2\cdot \pi=176.714586764[/tex]

Thus, the total area of the figure is

[tex]60+ 176.714586764\approx \boxed{236.715}[/tex]

Answer:

Statement 3

Step-by-step explanation:

∠GAF ≅ ∠TAE

Since, there is no relation between these angles,

Therefore, statement is False.

∠TAE and ∠FAH are complementary.

If the sum of the two angles is 90°, pair of angles is said to be complimentary angles.

Therefore, this statement is False.

∠TAF is obtuse.

Measure of obtuse angle is more than 90°

From the given picture, measure of ∠TAF = m∠TAH + m∠HAF

                                                                      = 90° + 50°

                                                                      = 140°

Here, m∠TAF > 90°

Therefore, ∠TAF is an obtuse angle.

Statement (3) is the correct statement.

Step-by-step explanation:

=> V = 4/3 π r³

=> V1 : V2 = r³ : r'³

=> 1³ : 5³

=> 1 : 125

Answer:

Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!

bit.[tex]^{}[/tex]

Answer:

The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"

The median of the data is 50 (middle line inside the box)

The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.

The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.

The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.

Let me know if you have questions about this answer. I'm happy to help.

Answer:

Remember what a right triangle is. A right triangle is a triangle that has one right (90 degree) angle.

Recall the Pythagorean Theorem. The Pythagorean Theorem tells us that for any right triangle with sides of length a and b, and hypotenuse of length c, a2 + b2 ...

Look at your triangle, and label the sides "a," "b," and "c". Remember that the longest side of the triangle is called the hypotenuse.

Step-by-step explanation:

Answer:

5000cm

Step-by-step explanation:

14 + 16 + 20 = 50m

50m x 100cm/m = 5000cm

Answer:

A quick hack is often to partially express some function in terms of a Taylor approximation about x0, since higher order terms of x go to zero if we are considering limits for (x−x0)→0. To really answer your question we need to know what the original question was, that is, about which point do you want the expansion? Let us assume around 0. Then we have the Maclaurin series:

cos(x)=1−12x2+O(x4)

You can add more terms if you need to. Now we write:

ln(1+(−12x2))=…

Do you know the standard Maclaurin series for this function?

Hint: it is of the form ln(1+u)

Step-by-step explanation:

Answer:

c. 84 is the answer

Step-by-step explanation:

Answer:

On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Look ... Choose the linear function f Eve can use to determine her pay. ... Each day he is paid a set amount, plus an hourly wage. ... Hours 1 1.5 2 2.5 3 ... Using the trend line y = 8x + 8, for the data shown, complete the residual table.

Step-by-step explanation:

Answer:

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Step-by-step explanation:

Given:

Amount of salt containing in jar = 32 gram

Total amount of salt in jar = 15 kg

Find:

Number of  jars can be filled from 15kg of the salt

Computation:

Total amount of salt in jar = 15 kg

Total amount of salt in jar (in grams) = 15 x 1000 g

Total amount of salt in jar (in grams) = 15,000 g

Number of  jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar

Number of  jars can be filled from 15kg of the salt = 15,000 / 32

Number of  jars can be filled from 15kg of the salt = 468.75

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file for the solution.

Answer:

[tex](a)\ f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)=0[/tex]

Step-by-step explanation:

Given

The attached table

[tex](a)\ f^{-1}(-15)[/tex]

This represents an inverse function.

So, we look into x row for its value.

i.e.

[tex]f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)[/tex]

Just like (a)

[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows

[tex]f(9) = 11[/tex]

So:

[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]

[tex]f^{-1}(4) + f(9)=0[/tex]

Answer:

x= 50

Step-by-step explanation:

area of a triangle is 180

the sides are the same so the bottom 2 angles are the same as well

180 - 80 = 100

100/2 = 50

Answer:

A

Step-by-step explanation:

I hope this helps.

Have a good day :)

a.) You randomly choose 2 socks from a drawer, hoping they will match.

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Answer:

  10%

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r)^t

Filling in the given values, we have ...

  1331 = 1000(1 +r)^3

  1.331^(1/3) = 1 +r = 1.1 . . . . . divide by 1000, take the cube root

  r = 0.1 = 10% . . . . . . . subtract 1

The effective rate is 10% per year.

Answer:

The volume is 164cm^3

Step-by-step explanation:

Given

[tex]h = 7[/tex] --- height

[tex]a = 3[/tex] --- base length

[tex]r = 2.6[/tex]

Required

The volume

The volume (V) is calculated as:

[tex]V = \frac{3\sqrt 3}{2}a^2h[/tex]

This gives:

[tex]V = \frac{3\sqrt 3}{2} * 3^2 * 7[/tex]

[tex]V = \frac{3\sqrt 3}{2} * 9 * 7[/tex]

[tex]V = \frac{3\sqrt 3}{2} * 63[/tex]

[tex]V = \frac{3*1.7321}{2} * 63[/tex]

Using a calculator, we have:

[tex]V = 163.68[/tex]

Approximate

[tex]V = 164cm^3[/tex]

Answer:

area of a circle= πr²

= 3.14×18×18×

=1017.36 in²

srry i believe my answer was wrong i solved instead of simplifying sorry

s

Step-by-step explanation:

Answer:

[tex]\frac{-2cos(x)sin(x)}{(1-sin^2(x))}[/tex]  = -2tanx

Step-by-step explanation:

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Answer:

  (c)  27π cubic centimeters

Step-by-step explanation:

The volume is given by the formula ...

  V = πr²h

Here, the diameter is given as 6 cm, so the radius is 3 cm and the volume is ...

  V = π(3 cm)²(3 cm) = 27π cm³ . . . . . matches the 3rd choice

Answer:

14

Step-by-step explanation: divide..

Answer:

14 points per game

Step-by-step explanation:

42/3 = 14

Answer: Identity Property

Step-by-step explanation:

The rest have very fake names lol

Answer:

Identity Property

Step-by-step explanation:

Identity Property :

Any number plus zero is the original number.

Answer:

11/3     as improper fraction

3 2/3       as proper fraction

Step-by-step explanation:

5 × ( 1/3 + 2/5 )

use common denominator of 15

5 × ( 5/15 + 6/15 )

Add

5 × ( 11/15)

Reduce

1 × ( 11/3)

11/3

as a proper fraction

3 2/3

Answer:

3.666666667

Step-by-step explanation:

= 5 (1/3 + 2/5)

= (5 (1/3)) + (5 (2/5))

= (1.666666667) + (2)

= 3.666666667

Hope this helps :)

Answer:

11.2

Step-by-step explanation:

11.2 is the only one that looks reasonable if you're considering the length of it lol

Answer:

Area = 25m²

Step-by-step explanation:  A=a²=5²=25m²

Answer:

25m²

Step-by-step explanation:

Simply multiply the number of total sides of the shape(4) and  the measurement of each side (5m)

4 sides x 5 meters = 25m²

always put m² after your final answer

Answer:

We know that:

x = 3 + 2*√2

And we want to find the value of:

[tex]x - \frac{1}{x}[/tex]

First, we can rewrite the above expression as:

[tex]x - \frac{1}{x} = \frac{x^2}{x} - \frac{1}{x} = \frac{x^2 - 1}{x}[/tex]

Now we can replace the value of x by  the one above, we will get:

[tex]\frac{x^2 - 1}{x} = \frac{(3 + 2*\sqrt{2})^2 - 1 }{3 + 2*\sqrt{2} } = \frac{3^2 + 2*2*\sqrt{2} + (2*\sqrt{2})^2 - 1 }{3 + 2*\sqrt{2} }[/tex]

Now we can simplify this to get:

[tex]\frac{9 + 4*\sqrt{2} + 4*2 - 1 }{3 + 2*\sqrt{2} } = \frac{16 + 4*\sqrt{2} }{3 + 2*\sqrt{2} }[/tex]

We could finally compute that last equation, to get:

[tex]\frac{9 + 4*\sqrt{2} + 4*2 - 1 }{3 + 2*\sqrt{2} } = \frac{16 + 4*\sqrt{2} }{3 + 2*\sqrt{2} } = 3.716[/tex]

Answer:

Step-by-step explanation:

the first marble has a probability of  2/5

the second marble has a probability of 1/4

P(r=2) = 2/5 * 1/4 = 2/20 = 1/10

Answer:

2/5, 1/4

Step-by-step explanation:

The total amount of marbles before drawing a marble is 2+3=5. There are 2 red marbles. Thus, the theoretical probability of drawing a red marble from the bag is 2/5.

If you keep the red marble, there are now 4 total marbles in the bag. There is also only 1 remaining red marble. Thus, the theoretical probability of drawing a red marble is now 1/4.