I need help ASAP please

Answer:

10/120

Step-by-step explanation:

Given :

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.

To Find :

What angle of depression does the airplane need to use to reach the runway?

Solution :

Let, angle of depression is [tex]\theta[/tex] .

So,

[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]

Hence, this is the required solution.

Answer:

12 (the third one is the greatest common factor of 120 and 84)

Answer:

12

Step-by-step explanation:

factors of 120. 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,80,120

factors of 84: 1,2,3, 4,6,7,12,14,28,42,84

greatest common factor=12

Answer:b

Step-by-step explanation:

1. 8^3 * 8^2, 8^5, and (2^3)^5

2. 6^9, and 6^5 x 6^4

Answer:

8+2√6x / 8-3x

Step-by-step explanation:

yes

Answer:

77

Step-by-step explanation:

as far as I can tell the steps between the given numbers are

-1

+4

-27

+16

1 can be expressed as 1³

4 can be expressed as 2²

27 can be expressed as 3³

16 can be expressed as 4²

my best guess is that next one is minus 5³ = -125

edit: technically the given steps can be expressed as

(-1)³

(-2)²

(-3)³

(-4)²

somewhat nicer pattern there

Answer:

6

Step-by-step explanation:

[tex]V = A * b = 5A[/tex]

[tex]5A = 141.3[/tex]

[tex]A = 28.26[/tex]

[tex]\pi r^2 = 28.26[/tex]

[tex]3.14 r^2 = 28.26[/tex]

[tex]r^2 = 9[/tex]

[tex]r = 3[/tex]

[tex]D = 2r = 2 * 3 = 6[/tex]

Answer:

D 10 to 15 is the answer correct

Answer:

Step-by-step explanation:

Answer:

4x²+8x+27=88

[tex]x = \frac{2 - \sqrt{65} }{2} \\ x = \frac{2 + \sqrt{65} }{2} \\ [/tex]

x= 3.03 , –5.03

Answer:

can you please put a better picture?

Answer:

59 or I’m wrong

Step-by-step explanation:

Answer:

x=20.7

Step-by-step explanation:

using cosine...

cos 34=adjacent/hypotenuse

cos 34=x/25

Cross multiply

x=cos 34 ×25

x=20.72593931

x≈20.7(to the nearest tenth)

Answer:4 hours

Step-by-step explanation:

7 divided by 5= 1.4

1.4x4=5.6

Answer:

A. 3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The asymptote of the function [tex]y = cot(x - \frac{2\pi}{3})[/tex] is at x = - π/3.

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

We know, tan = sin/cos.

Hence 1/tan = cos/sin = cot.

So, The denominator sin can not be zero, And sin is zero on π and - π.

Given, A function [tex]y = cot(x - \frac{2\pi}{3})[/tex].

At, x = - π/3.

Therefore, [tex]y = cot(\frac{\pi}{3} - \frac{2\pi}{3})[/tex].

[tex]y = cot(-\pi)[/tex], Which is undefined.

learn more about asymptotes here :

https://brainly.com/question/17767511

#SPJ7

Answer:

see explanation

Step-by-step explanation:

Given

x² , then when x = - 4

x² = - 4 × - 4 = + 16

[ the product of a negative and a negative results in a positive ]

Answer:

B = 75°

Step-by-step explanation:

Using the Sine rule:

a / sin A = b / sin B = c / Sin C

a / sin A = b / sin B

20 / sin 48 = 26 / sin B

Cross multiply :

Sin B * 20 = sin 48 * 26

Sin B = (sin 48 * 26) / 20

Sin B = 0.9660882

B = sin^-1(0.9660882)

B = 75.036

B = 75°

Answer:

A

Step-by-step explanation:

...................

Answer:

here's the whole unit test

Step-by-step explanation:

ur welcomeeeee ;)

Answer:

π in²

Step-by-step explanation:

We'll begin by calculating the radius of the circle. This can be obtained:

Area of sector (A) = 4π in²

Angle (θ) = 120 °

Radius (r) =?

The radius of the circle can be obtained by using the formula for calculating the area of a sector. This is illustrated below:

A = θ/360 × πr²

4π = 120/360 × πr²

4π = ⅓ × πr²

Cross multiply

3 × 4π = πr²

12π = πr²

Divide both side by π

r² = 12π / π

r² = 12

Take the square root of both side

r = √12 in

Thus, the radius is √12 in.

Finally, we shall determine the area of the sector created by 30 °. This can be obtained as follow:

Radius (r) = √12 in

Angle (θ) = 30 °

Area of sector (A) = ?

A = θ/360 × πr²

A = 30/360 × π(√12)²

A = 1/12 × 12π

A = π in²

Therefore, the area of the sector created by 30 ° us π in².

Answer:

They are congruent

Step-by-step explanation:

The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.

Answer:

Step-by-step explanation:

In order to write the equation of the line in point-slope form that goes through those points, we need to know the slope of that line. Therefore,

[tex]m=\frac{-7-5}{4-10}=\frac{-12}{-6}=2[/tex] So the slope is 2. Now we'll pick a point and use it to write an equation in point-slope form. I'll use the first point given to see if that's the one used in any of the answers : (10, 5)

y - 5 = 2(x - 10). That's choice B. Let's see, just in case there are 2 answers to this, what the equation would be using the other point (4, -7):

y - (-7) = 2(x - 4) and simplified:

y + 7 = 2(x - 4) is the other equation. Since that's not a choice, the only answer is B

Answer:

x=3

Step-by-step explanation:

Log base 5 of 125=x

that is equal to 5x5x5 which is 125

5 is multiplied 3 times so x is 3

Answer:

Sarah can do 17 push-ups each minute.

Step-by-step explanation:

4 minutes = 68 push ups

68  divided by 4 = 17 push ups

1 minute = 17 push ups

Answer:

multiply all sides (5.5 x 6 x 8.5) which results to 261.5 ft squared

Answer:

x = -15,46 thì y ≈ 34,46

x = 2,46 thì y ≈ 16,54

Step-by-step explanation:

x + y = 19 => x = 19 - y (1)

thay x = 19 -y vào phương trình 11x + x^2 = 2y ta có:

11 * (19 - y) + (19 - y)^2 =2y

=> 209 - 11y + 361 - 38y + y^2 = 2y

=> y^2 - 51y + 570 = 0

=> y ≈ 34,46 và y≈16,54

thay y ≈ 34,46 vào phương trình (1) có:

x = 19 - 34,46 = -15,46

thay y ≈ 16,54 vào phương trình (1) có:

x = 19 - 16,54 = 2,46

Answer:

Step-by-step explanation:

11x+x^2= 2y

Y + x = 19

Multiply and re-arrange second equation:

2y = 38 - 2x

Substitute into first equation:

11x + x^2 = 38 - 2x

Re-arrange:

x^2 + 13x - 38 = 0

Solve using quadratic formula:

x = (-13+(13^2-4*(-38))^(1/2))/2 or (-13-(13^2-4*(-38))^(1/2))/2

x = 2.46 or -15.46

Substitute back to solve for y:

y = 19 - 2.46 or 19 + 15..46

y= 16.54 or 34.46

The answer to this question is:

2 ¾ inches.

9514 1404 393

Answer:

Step-by-step explanation:

The top and bottom edges are parallel, and the shape has 4 sides. That means it is a trapezoid. The area can be found using the formula for the area of a trapezoid:

  A = 1/2(b1 +b2)h

  A = 1/2(85 mm + 218 mm)(322 mm) = 1/2(303)(322) mm² = 48783 mm²