An air traffic controller at an airport sights a plane at an angle of elevation of 28º.

The pilot reports that the plane's altitude is 4500 feet.

To the nearest foot, what is the distance from the control tower to the plane?

3190 ft

8463 ft

2113 ft

9585 ft

Complete question is;

Alyssa took a math test with 20 questions and she answered 16 questions correctly. In order get an A, she needs to answer at least 90 percent of the questions correctly.

A) Did Alyssa get an A on this math test? Explain.

B) How many questions would Alyssa need to answer correctly in order to get an A?

C) On the same exam, Alyssa's friend Jessie answered three times more questions correct than incorrect. Who got a higher percentage of the test questions correct, Alyssa or Jessie

Answer:

A) she didn't get an A because she scored less than 90%.

B) She will need to answer 18 correctly to get an A.

C) Alyssa had a higher percentage.

Step-by-step explanation:

A) Alyssa answered 16 out of 20 questions correctly.

Converting this to percentage gives;

16/20 × 100% = 80%

Now,we are told she needs at least 90% correct answers to get an A.

She scored 80% which is less than 90% mark of A, therefore she didn't get an A.

B) Let the number of minimum questions to answer correctly out of 20 be x.

Thus, since it is 90%.

Then;

x/20 × 100% = 90%

making x the subject;

x = 90 × 20/100

x = 18

She will need to answer 18 correctly to get an A.

C) her friend Jessie answered three times more questions correct than incorrect.

This means for every 4 questions answered, she had 3 correct and 1 incorrect.

Thus,

For 4 questions she had 3 correct answers, then for 20 questions, she will have: 20 × 3/4 = 15 correct questions

Which corresponds to;

15/20 × 100% = 75%

Thus, Alyssa had a higher percentage.

Answer:

the answer is 32.2

Step-by-step explanation:

Not rounded

hope this helps

Answer:

32.2

Step-by-step explanation:

70 divided by 100 times 46

Answer: 60 holes

Step-by-step explanation:

Nate made par or better 34 out of 85 holes. You need to use this to find the rate at which he makes par or better holes:

= 34 / 85 * 100%

= 40%

40% of the time he makes par or better holes.

If there are 150 holes left, he will make par or better of:

= 40% * 150

= 60 holes

Answer:

C

Step-by-step explanation:

For one, it's negative so all positive answers can be eliminated.

Secondly, the y axis is hit on positive 3. No point even hits negative 3.

Knowing that, the only choice left is C.

Answer:

the cost of orange is 170

Answer:

One orange costs $1.45.

Step-by-step explanation:

Since there are two variables, you have to set up a 2 variable equation.

Let's let a = apples and o = oranges.

So, we can set up this problem as:

5a + 4o = 11.80

1a  + 6o = 9.90

You can solve a 2-variable equation using either elimination or substitution. Here, I think it's easier to use substitution. To do that we have to substitute one variable with an equation that uses only the other so that we only have one variable.

We can manipulate our second equation so that it is:

a = 9.90 - 6o

Then, we can plug this in for a in the first equation. So,

5 (9.90 - 6o) + 4o = 11.80

49.5 -30o +4o = 11.80  (Distribute the 5)

49.5 - 26o = 11.80  (Combine like terms)

-26o = -37.7 (Subtract 49.5 from both sides)

o = 1.45 (Divide by -26)

o = 1.45

So, an orange costs $1.45.

Step-by-step explanation:

idek but Goodluck and I hope you figure it our bye.

Answer:

x=16√3 units

y=8√3 units

z=24 units

Step-by-step explanation:

z=(24√2)/√2=24 which means the height is also 24 following 45-45-90 triangle rules

y=24/√3=24√3/3=8√3 (remember 30-60-90 triangles rules and to rationalize the denominator)

x=2y=2(8√3)=16√3 (remember 30-60-90 triangle rules)

Answer:

Divide the area by pi. Then, square root the answer.

Step-by-step explanation:

Area of a cirlce= pi r^2

Answer:

You have to divide by pi (3.14) APROXIMATELY and then divide what you get by the square root.

Answer:

A) One Solution

Step-by-step explanation:

3x + 4 = -x

4 = -4x

x = -1

y = 3(-1)+4

y = 1

One Solution

Step-by-step explanation:

the illustration is not with the question

Answer:

(-3, -1/2)

Step-by-step explanation:

[tex]-\frac{2}{3} (-3) - 4*(-\frac{1}{2}) = 2-(-2) = 4[/tex]  > 0

Answer:x = 1.2

Step-by-step explanation:

Answer:

[tex]{\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex]6x + 1 = x - 5 \\ 6x - x = - 5 - 1 \\ 5x = - 6 \\ x = \frac{ - 6}{5} \\ x = - 1.2[/tex]

Answer:

5.x^8.y^3

Step-by-step explanation:

15.x^10.y^5.z^2 ÷ 3.x^2.y^2.z^2

= 15/3. x^(10-2). y^(5-2). z^(2-2)

= 5.x^8.y^3.z^0

= 5.x^8.y^3

[tex]\\ \rm\hookrightarrow \dfrac{15x^{10}y^5z^2}{3x^2y^2z^2}[/tex]

[tex]\\ \rm\hookrightarrow 5x^{10-2}y^{5-2}z^{2-2}[/tex]

[tex]\\ \rm\hookrightarrow 5x^8y^3[/tex]

Option B has type error or none of the above

Answer:

30%

Step-by-step explanation:

Think of this as converting a fraction. 28/40 to x/100. You do this because in the situation, 40 is 100 percent of the price. So 28 is x percent of 100.

You multiply 40 by 2.5 to get to 100, so multiply 28 by the same number to get x. 28 * 2.5 = 70.

So 28 is 70 percent of 40. But the question is asking by what percentage it is discounted. If it's now selling for 70%, it has been discounted 30%. So the answer is 30%

Answer:

range = 9

Step-by-step explanation:

The range is the difference between the largest and smallest values

largest value = 12

smallest value = 3

range = 12 - 3 = 9

Answer:12-3=9

Step-by-step explanation:To find the range,you have to subtract the highest number and the lowest number which in this case the highest number is 12 and the lowest number is 3 so the answer is 9.

Its 382.98 the answer

Answer:

∠A= 80°

Step-by-step explanation:

if they are supplementary then put them equal to 180

7x + 3 +7x + 23 = 180

14x + 26 = 180

14x = 154

x= 11

now plug in

7(11)+3

77+3= 80

Answer:

Rectangle is the correct answer hope it helps you have a great day keep smiling be happy stay safe ☺️

A rectangle is a special type of parallelogram. Any parallelogram has two pairs of opposite parallel sides. A rectangle is a parallelogram where all four angles are the same, and all four angles are 90 degrees.

Keep in mind that not all parallelograms are rectangles, but any rectangle is always a parallelogram.

In slight contrast, a trapezoid has exactly one pair of parallel lines, while the other pair of opposite sides are not parallel. Triangles of any kind can be ruled out because they don't have any parallel sides at all.

Answer:they have the same horizontal translation

Step-by-step explanation:

Answer:

1)

Perimeter=24 inches

Area= around 43.46 inches

Step-by-step explanation:

1) Perimeter = 3in * number of sides

Perimeter = 3*8 = 24

Area= 2(1+ square root of 2) length of one side squared

=42.46

2)

Perimeter = 24

Area= 43.46 inches squared- 3inches

3)

Perimeter = 24

Area= 43.46- triangle area

triangle area = height x base /2

Height = 3, we can compare it.

Base = 3

Triangle = 9/2

Area = 43.46- 4.5

Area =38.96

Can't see 4 and 5 for some reason

6)

Perimeter =  30

Area = 61.94

Sorry if its incorrect, I am just 4th grade :(

Answer:

Muy bien, y usted?

Answer:

es una pregunta o necesitas eso traducido al inglés ¿?

Answer:

0.344

Step-by-step explanation:

i cant show reasoning its just 1.6 times 0.215

Answer:

By rounding

Step-by-step explanation:

48 % means 48 percent which 48 out of 100.

48% of 1220

= 48/100*1220

= 0.48*1220

=585.6 which is almost equal to 600

1) By rounding

Now if we round 48%  we get  50 % as 8 > 5 and 1 is added to 4 making it 5 in tens place leaving 0 in unit's place.

So 50% of 1220

0.50*1220= 610

Again rounding 610 would give 600 as 1 is less than 5 and we drop it out from the tens place leaving zero behind.

2) Complementary

IF we subtract 48% from 100% we get 52%.

So 52% of 1220 would be 634.4

IT again can be rounded in 2 ways Either 52% can be rounded to 50% and 634.4 can be rounded to 600.

Both would give 600

Answer:

opposite=8.402402490459  ,adjacent is already given=12, hypotenuse=14.64929507

Step-by-step explanation:

to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.

If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.

Answer:

1: Reflect M across the x-axis

2: Dilate about the center by 3/2

Step-by-step explanation:

Given

See attachment for M and N

Required

Which maps M to N

The coordinates of the radius of the circles are:

[tex]M = (5,5)[/tex]

[tex]N = (5,-5)[/tex]

And the radius of circles are:

[tex]r_M=2[/tex]

[tex]r_N=3[/tex]

The first transformation from M to M' is:

- Reflect across the x-axis

The rule is:

[tex](x,y) \to (x,-y)[/tex]

[tex]M(5,5) \to M'(5,-5)[/tex]

At this point, M' and N now have the same center but different radius.

The second transformation from M' to N is:

- Dilate about the center by dividing the radius of N by the radius of M

i.e.

[tex]k =\frac{r_N}{r_M}[/tex]

[tex]k =\frac{3}{2}[/tex]

At this point, M has been completely mapped to N.

Answer:

960 cm³ I think it may be correct