Question 3 (3 points) <br> Solve 8 = 2x + 4. (3 points)

To approach the runway, a pilot of a small plane must begin a 10° 10 ° descent starting from a height of 1983 feet above the gro

Lubov Fominskaja [6]

Answer:

2.2 miles.

Step-by-step explanation:

Please find the attachment.

Let x be the distance between runway and the airplane, where plane start the approach.

We have been given that to approach the runway, a pilot of a small plane must begin a 10° descent starting from a height of 1983 feet above the ground.

We can see from our attachment that angle DAC is equal to angle BCA (by alternate interior angles).

Side length AB is opposite side and x is hypotenuse for our given angle. Since Sine represents the relation between the hypotenuse and opposite of right triangle, so we will use sine to find the length of x.

$\text{Sin}=\frac{\text{Opposite}}{\text{hypotenuse}}$

$\text{Sin}(10^o)=\frac{1983}{x}$

$x=\frac{1983}{\text{Sin}(10^o)}$

$x=\frac{1983}{0.173648177667}$

$x=11419.6418680692448271$

Since length of x is in feet, let us convert our answer into miles.

1 mile = 5280 feet.

Let us divide length of x by 5280 to get our answer in miles.

$11419.6418680692448271\text{ Feet}=\frac{11419.6418680692448271\text{ feet}}{\frac{5280\text{ feet}}{\text{miles}}}$

$11419.6418680692448271\text{ Feet}=\frac{11419.6418680692448271\text{ feet}}{5280}\times \frac{\text{ miles}}{\text{ feet}}$

$11419.6418680692448271\text{ Feet}=\frac{11419.6418680692448271}{5280}\times \text{ miles}$

$11419.6418680692448271\text{ Feet}=2.162810959\text{ miles}\approx 2.2\text{ miles}$

Therefore, the distance between the runway and the airplane where it start this approach is 2.2 miles.

5 0

3 years ago

What is the answer 5 1/6

MrRissso [65]

Answer:

= 31/6

Step-by-step explanation:

Multiply the denominator(6) by the whole number(5) to get 30 then add it to the numerator(1) to get 31, then put it over the original denominator to get 31/6.

5 0

2 years ago

Use the pythagorean theorem to solve the problem. Round your answer to the nearest tenth if necessary.

zmey [24]

Answer:

11.31 ft

Step-by-step explanation:

Here in this problem ladder forms a right triangle with the wall of the house and it is acts as hypotenuse, length of one leg of right triangle given to be 4 feet.

Let the ladder reaches x ft height of the house.

Hence, by Pythagoras theorem:

${12}^{2} = {4}^{2} + {x}^{2} \\ 144 = 16 + {x}^{2} \\ {x}^{2} = 144 - 16 \\ {x}^{2} = 128 \\ x = \sqrt{128} \\ x = 11.3137085 \\ x = 11.31 \: ft$

Hence, the ladder reaches 11.31 ft height of the house.

4 0

3 years ago

Glenn spends 105 minutes exercising every day. He spends 3 fifths of the time running. How much time dose Glenn spend running?

lozanna [386]

Answer: 63 mins

Step-by-step explanation:

$105(\frac{3}{5})=63$

7 0

3 years ago

Mariam’s uncle donate 120 cans of juice and 90 packs of cheese cracker for the school picnic. Each student must receive the same

monitta

Answer:

8 students,

15 cans of juice and 11 packs of cheese cracker

Step-by-step explanation:

Mariam’s uncle donate 120 cans of juice and 90 - 2 = 88 packs of cheese cracker (eats two packs) for the school picnic.

Factor these numbers:

$120=2\cdot 60=2\cdot 2\cdot 30=2\cdot 2\cdot 2\cdot15=2\cdot 2\cdot 2\cdot 3\cdot 5\\ \\88=2\cdot 44=2\cdot 2\cdot 22=2\cdot 2\cdot 2\cdot 11$

The greatest common factor is

$2\cdot 2\cdot 2=8,$

so the greatest number of students who can share the food equally is 8 and each student will get $3\cdot 5=15$ cans of juice and 11 packs of cheese cracker.

4 0

2 years ago

Question 3 (3 points) Solve 8 = 2x + 4. (3 points)