the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15 seconds the angle of elevation changes to 30 degree if the jet plane is flying at a constant height of 1500 root 3 metre find the speed of the jet plane​

Answer:

[tex]R = 9.63\ units[/tex]

Step-by-step explanation:

Given

[tex]AB = BC = 17[/tex]

[tex]AC = 16[/tex]

Required

Determine the circumradius, R

The circumradius is calculated as follows;

[tex]R = \frac{AB * BC * AC}{\sqrt{(AB + BC + AC)(AB + BC - AC)(AB + AC - BC)(AC + BC - AB)}}[/tex]

Substitute the values of AB, BC and AC

[tex]R = \frac{17 * 17 * 16}{\sqrt{(17 + 17 + 16)(17 + 17 - 16)(17 + 16 - 17)(16 + 17 - 17)}}[/tex]

Evaluate the denominator

[tex]R = \frac{17 * 17 * 16}{\sqrt{(50)(18)(16)(16)}}[/tex]

[tex]R = \frac{4624}{\sqrt{230400}}[/tex]

Take square root of 230400

[tex]R = \frac{4624}{480}[/tex]

[tex]R = 9.63\ units[/tex] (Approximated)

Hence, the circumradius is 9.63

Answer:

289/30

Step-by-step explanation:

Let the circumcenter be point O. We start by drawing line median BM. Since AB = BC, median BM is perpendicular to side AC.

Therefore, BM is part of the perpendicular bisector of AC and thus, must pass through point O.

We have AM = 8, so the Pythagorean Theorem applied to triangle ABM gives us BM = 15.

Let OA = x, our circumradius. Since O is equidistant from A and B, we have OB = x as well.

Therefore,

OM = BM - BO = 15 - x.

From right triangle OAM, we have (OA)^2 = (OM)^2 + (AM)^2.

Solving for x, we have 30x = 225 + 64.

So, x = 289/30.

Answer:

16

Step-by-step explanation:

Answer:

The square root of 133 is 11.53. The closest to this number would be point D.

Answer:

31 over -3

Step-by-step explanation:

4.7+1.6=6.3x 5 =31.5-.5=31

Answer: 28

Step-by-step explanation:

the answer  for your question is y=−2

Answer:

Step-by-step explanation:

In the quadratic formula x = -b±√b²-4ac/2a, the expression b²-4ac inside the square root is called the discriminant. The discriminant is the function that determines the nature of the roots of the equation even without the constant a, b and c

If b²-4ac > 0, the roots of the equation will be real and distinct

If b²-4ac < 0 the roots of the equation will be complex number

If b²-4ac = 0 the roots of the equation will be real and the same

Answer:

x=16°

y=25°

Step-by-step explanation:

7x=112

x=112/7

x=16

90+y=115

y=115-90

y=25

===================================================

Explanation:

It is a function because it passes the vertical line test. We cannot draw a single vertical line through more than one point on the red curve. Any x input leads to exactly one and only one y output.

A similar test is the horizontal line test. We cannot draw a single horizontal line through more than one point on the red curve, so this red curve passes the horizontal line test. Each y is only paired with one x value only. This helps set up an inverse function.

-----------

In short:

If the curve passes the vertical line test, then we have a function

If the curve passes the horizontal line test, then it is one-to-one.

Answer:

nope

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

=>0.8

=>8/10

=>4/5

Answer:

C. 20% decrease

Step-by-step explanation:

[tex]Saturday = 50\\Sunday =40\\\\50-40 =10\\\\\frac{10}{50} \times \frac{100}{1} \\= \frac{1000}{50} \\\\Cross \:cancel common \:factor; 50\\\\= 20[/tex]

Answer:

the answer is "dilation by a scale factor of 2 and a rotation of 90° counter clock wise about the origin"

Answer:

p=22x-17-15x+12-3x-5

4x-10

Step-by-step explanation:

hope it is helpful for you if it is follow me

Answer:

Angle 1 is 147 degrees

Step-by-step explanation:

When two angles form a linear pair, then we have the intersection of two lines

So what this mean is that both angles lie on a straight line and the sum of both angles is 180.

Let the angle 2 be x

We are told that angle 1 is 18 degrees less than 5 times the measure of angle 2;

What we are saying here is that; angle 1 = 5x - 18

So let’s add both together to give 180

angle 1 + angle 2 = 180

x + 5x -18 = 180

6x = 180+ 18

6x = 198

x = 198/6

x = 33 degrees

But angle 1 is 5x -18 = 5(33) -18 = 165 -18 = 147 degrees

Answer:

√37

Step-by-step explanation:

An irrational number is a number that never terminates nor repeats.

Let's go through each of the answer choices.

1) √100 is just 10. This is not irrational.

2) √81 is just 9. This is again not irrational.

3) √64 is 8. Not irrational.

4) √49 is 7. Again, not irrational.

5) √37 is 6.08276253... This number will never end and it doesn't repeat. Therefore, √37 is irrational.

And this is our answer.

And we're done!

Answer:

Probability of choosing 9 of spades = 1/52

Steps to solve:

-2x = 38

~Divide -2 to both sides

x = -19

Since this equation is solvable, it is a literal equation

Best of Luck!

Answer:

z=12/9 or 4/3 or 1 1/3

Step-by-step explanation:

1/3 needs to have a denominator of 9 so 3/9 because 3x3=9 and you have to multiply the numerator by 3 also

z-4/9-3/9=5/9

add -4/9 and -3/9 because you add two negative numbers

new equation

z-7/9=5/9

add 7/9 to 5/9

z=12/9 or 4/3 or 1 1/3

Answer:

18/28

Step-by-step explanation:

Answer:

7000

Step-by-step explanation:

21000/0.667

=14000

21000-14000

=7000

Answer:

The sum of 5 times a number x and 8

Step-by-step explanation:

It could also be written as:

The sum of the product of 5 and a number x and 8

Answer:

He can build 20 houses. He will have 5 left over.

Step-by-step explanation:

8 x 20 = 160

165 (total blocks) - 160 (highest possibility) = 5 (not enough to build a house, which is why they are left over)

Answer:

16/5

Step-by-step explanation:

1600 diviudes by 100=16

Multiply total People by percentage:

400 x 0.05 = 20

There are 20 managers

Answer:

Lines

Step-by-step explanation:

In both linear and vertical pairs share at least one line.

Hope This Helps :)

All linear pairs and vertical pairs share the same supplementary angle.

Linear pairs and vertical pairs are both types of angle pairs formed by intersecting lines or by the intersection of a line and a transversal.

1. Linear Pairs: A linear pair consists of two adjacent angles formed by two intersecting lines. The two angles in a linear pair are always supplementary, meaning their measures add up to 180 degrees. In other words, if one angle in a linear pair measures x degrees, then the other angle will measure (180 - x) degrees.

2. Vertical Pairs: Vertical angles are formed by the intersection of two lines. They are opposite angles that share a common vertex but are formed by different pairs of intersecting lines. Vertical angles are congruent, meaning they have the same measure. If one vertical angle measures x degrees, then the other vertical angle formed by the same pair of intersecting lines will also measure x degrees.

Therefore, both linear pairs and vertical pairs share the same property of having angles with equal measures. In the case of linear pairs, the angles are supplementary (their measures add up to 180 degrees), while in vertical pairs, the angles are congruent (they have the same measure).

To know more about linear pairs, refer here:

https://brainly.com/question/34190098

#SPJ2

Answer:

exponential functions.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

(xy^3z^4)^4 =

(x)^4 = x^4

(y^3)^4 = y^12

(z^4)^4 = z^16

Therefore the answer is C. x^4 y^12 z^16

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 2x + 28}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2x + 4(7 - x)}[/tex]

Distribute 4 through the parentheses

[tex] \dashrightarrow{ \sf{2x + 28 - 4x}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{2x - 4x + 28}}[/tex]

[tex] \dashrightarrow{ \sf{ - 2x + 28}}[/tex]

Hope I helped!

Best regards! :D