A pilot spots the airport at an angle of depression of 16°. The plane is flying at an altitude of 9,000 ft. What is the ground distance (distance along the ground) from the plane to the airport to the nearest foot

Answer:

Step-by-step explanation:

Part A:

Given that the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then

50% of x = 1200

⇒ 0.5x = 1200

⇒ x = 1200 / 0.5 = 2400

Therefore, the retail price of the mattress, before the discount is $2,400.

Part B:

Given that the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then

(100% + 150%) of p = 2400

250% of p = 2400

2.5p = 2400

p = 2400 / 2.5 = 960.

Therefore, the wholesale price, before the markup was $960

Answer:

Step-by-step explanation:

Not true.  A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.

Answer: 408 sq ft

Step-by-step explanation: You would need to use the surface area formula SA = 1/2LP + B. Note that L is the slant height, P is the perimeter of the base, and B is the area of the base. 11 is the slant height as shown in the image above, p is 48 since you add 12 + 12 + 12 + 12, and the area of the square will be 144 since 12*12 = 144. Once you substitute the numbers in their correct place, you should get SA = 1/2 (11)(48)+144 which gives you 408 sq ft. Hope this helps!

Answer:408    did this right on k12

Step-by-step explanation:

Answer:

the dimensions of the rectangle are 10 and 7.

Step-by-step explanation:

Given;

area of the rectangle, A = 70 m²

dimensions of the rectangle, = x - 11 and x - 8

The area of rectangle is calculated as;

A = L x B

70 = (x - 11)(x - 8)

70 = x² - 8x - 11x + 88

0 = x² - 8x - 11x + 88 - 70

0 = x² - 19x + 18

0 = x² - x - 18x + 18

0 = x(x - 1) -18(x - 1)

0 = (x - 18)(x - 1)

0 = x - 18     or    

0 = x - 1

x = 18 or 1

The dimensions of the rectangle are calculated as;

L = 18 - 11  = 7

B = 18 - 8 = 10

Therefore, the dimensions of the rectangle are 10 and 7.

Answer:

m=0

Step-by-step explanation:

the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)

we are given the points (-2,1) and (7,1)

label the points:

x1=-2

y1=1

x2=7

y2=1

now substitute into the equation

m=(1-1)/(7--2)

m=0/9

m=0

the slope of the line is 0

Hope this helps!

Explanation is in the file

tinyurl.com/wpazsebu

Hello! The area of square KLMN is 25 cm²

Make sure to read an explanation for better understanding to the problem.

Any questions about my answer and explanation can be asked through comments.

Step-by-step explanation:

Since the square has same length for both sides. We can proceed side × side formula. Our side is 5 because if we count these small squares or grids, we'd get 5 for both sides.

Therefore 5 × 5 = 5² = 25 cm².

We can also use Calculus to solve the problem by using Integration.

Because both lines are horizontal, they are constant function. That means they are in the form of y = b where b is a constant.

A line that passes through (a,4) where a is all real numbers. The equation is y = 4

A line that passes through (c,-1) where c is all real numbers. The equation is y = -1

Therefore,

[tex] \large{ \int^{b}_a f(x) dx+ \int^{b}_a g(x)dx} \\ \large{ \int^{2}_{ - 3} (4)dx+ \int^{2}_{ - 3} ( - 1)dx}[/tex]

Because y = -1 is below x-axis. Therefore,

[tex] \large{ \int^{2}_{ - 3} 4 dx+ \int^{2}_{ - 3} 1dx} \\ \large{ (4x)^{2}_{ - 3} + (x)^{2}_{ - 3} } \\ \large{8 - ( - 12) + 2 - ( - 3)} \\ \large{8 + 12 + 2 + 3 = 25}[/tex]

Answer:

The answer is 11 units

Step-by-step explanation:

I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.

Hopes this helps!

For the given quadrilateral MNPQ, the length of MQ is 11 units.

Therefore, the option C is the correct answer.

Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.

We need to find the length of side MQ,

MQ = MR + RQ............(i) [segment addition property]

To find MR and RQ, we will have to do a construction in the figure given,

(Refer to the diagram attached)

Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.

So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,

So, we get,

QR = 3 and NR = 6.

Also, we have a right triangle MNR, where MN is the hypotenuse,

Using the Pythagoras theorem, we can find the length of MR,

MR² = MN² - NR²

MR = √(10² - 6²)

MR = √(100 - 36)

MR = √64

MR = 8

Putting the values of MR and QR in equation (i), we get,

MQ = MR + RQ

MQ = 8 + 3

MQ = 11

Hence the length of MQ is 11 units.

Learn more about Geometry click;

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Answer:

f(6)=33

Step-by-step explanation:

f(6)=5(6)+3

f(6)=30+3

f(6)=33

Answer: Its the first and third one.

Step-by-step explanation: Lol nope

Answer:

The answer would be D 10

Step-by-step explanation:

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16cm^3[/tex]

Answer:

Use photo math, it will explain literally all the steps

Answer:

Given: cos θ = 5/13 where 0 ≤ θ < 90

Find tan 2θ

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 50.27

Explanation:

r=radius

Diameter/2 = radius

The formula is 3.14r^2

3.14(4)^2

50.27 is final answer

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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Answer:

50.27

Step-by-step explanation:

A= π r^2

The radius is equal to half of the diameter.Which in this case would be 4 since your diameter is 8.

A = π * 4 ^2

A = 50.27

Step-by-step explanation:

Because the line doesn't start at 0 (right at the bottom) and that shows that it is not directly proportional to x.

Hope it helped.

Answer: 5 min

Step-by-step explanation:

Given

Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]

Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]

then  Mikaela speed is [tex]v_m=50+x[/tex]

the difference in the finishing time is 1 minute i.e.

[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]

Time taken by Yohanne is

[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]

Answer:

(Infinitely), (No solution), (One solution), (One solution)

Step-by-step explanation:

1. 5x + 9 = 9 + 5x (Infinitely)

2. -4x + 8 = -4x - 8 [minus -4x from both equation, we get 8 = -8, which is impossible] (No solution)

3. x - 3 = 3 - x [2x = 6, x = 3] (One solution)

4. 3x + 7 = 7x + 3 [4x = 4, x = 1] (One solution)

Answer:

6

Step-by-step explanation:

The two small triangles are congruent by SAS.

By CPCTC, x = 6.

Answer: 6

Answer:

1. (x-2)(x-15)

2 (3x-4)(x+2)

3. cannot factor

Step-by-step explanation:

math papa greatest website for math equations.

Answer:

D

Step-by-step explanation:

Hello There!

N = Nickels and D = Dimes

The total amount of nickels and dimes is 27

so d + n = 27

or d = 27 - n

or n = 27 - d

It says that the amount of nickels she has is 3 times the amount of dimes minus 1

so

n = 3d - 1

so looking at the information above we can conclude that the answer is D

Answer:

d

Step-by-step explanation:

32 people on each bus.

30 kids and 2 adults on each bus

I’m sure it’s 7 sorry if I’m wrong

Answer:

sorry im late but 12

Step-by-step explanation:

Answer:

(5, 27)

Step-by-step explanation:

-3(x^2 - 10x + 16)  [Expand the equation using the FOIL method]

-3(x^2 - 10x) - 48  [Move the 16 outside of the parenthesis (16 * - 3 = -48]

-3(x^2 - 10x + 25) +75 - 48  [Complete the square]

-3(x-5)^2 + 27  [Simplify. The equation is now in vertex form.]

Answer:

total area = 207 cm²

Step-by-step explanation:

base area = 9 x 9 = 81

side area = 1/2(9)(7) = 31.5 x 4 (for 4 sides) = 126

81 + 126 = 207 cm²

Answer: 270 people

Step-by-step explanation:

The ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7.

This shows that the number of people who get their news from social media is 3 out of 10 i.e (3+7).

Therefore, the number of people in a town of 900 people that get their news from social media will be:

= 3/10 × 900

= 270 people.

Answer:

is it right

Step-by-step explanation: