A passenger in an airplane flying at an altitude of 37,000 feet sees two towns directly to the west of the airplane. The angles of depression to the towns are 32° and 76°. How far apart are the towns?
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Answer:

my answer it 84%

Step-by-step explanation:

i got the question correct on the test

Answer:

Step-by-step explanation:

ΔBCE:

Use the Pythagorean theorem:

[tex]EB^2=EC^2+BC^2[/tex]

We have EC = 4cm and BC = 3cm. Substitute:

[tex]EB^2=4^2+3^2\\\\EB^2=16+9\\\\EB^2=25\to EB=\sqrt5\\\\EB=5\ cm[/tex]

BF is the diagonal of the square FEBA. The formula of a diagonal of a square with side a is:

[tex]d=a\sqrt2[/tex]

Therefore

[tex]BF=5\sqrt2\ cm[/tex]

Approximation:

[tex]BF\approx5(1.414)=7.07\ cm[/tex]

Answer:6.95

6.95= 6.95>6.841

6.8= 6.800<6.841

6.786<6.841

6.839<6.841

Answer:

6.95

Step-by-step explanation:

We can find the answer by analyzing the options and deducing which is greater or less.

That is, if we have the number 6.841, the number 6.95 must be greater because it has 9 intead of an 8, which makes it a bigger number.

We can also make a division between the original number and the number that we want to know if it is greater or less, and if the division is less than 1 it means that the number is greater, and if the division is greater than 1 it means that the number is smaller.

6.841/6.8 = 1.006 ⇒⇒ 6.8 is smaller than 6.841

6.841/6.786 = 1.008 ⇒⇒ 6.786 is smaller than 6.841

6.841/6.839 = 1.0003 ⇒⇒ 6.839 is smaller than 6.841

6.841/6.95= 0.98 ⇒⇒ 6.95 is greater than 6.841

Answer:

9

Step-by-step explanation:

[tex] average~rate~of~change = \dfrac{f(x_2) - f(x_1)}{x_2 - x_1} [/tex]

[tex] x_1 = 0 [/tex]

[tex] x_2 = 2 [/tex]

[tex] f(x_1) = f(0) = 0^2 + 7(0) + 10 = 10 [/tex]

[tex] f(x_2) = f(2) = 2^2 + 7(2) + 10 = 4 + 14 + 10 = 28 [/tex]

[tex] average~rate~of~change = \dfrac{f(x_2) - f(x_1)}{x_2 - x_1} [/tex]

[tex] average~rate~of~change = \dfrac{28 - 10}{2 - 0} [/tex]

[tex] average~rate~of~change = \dfrac{18}{2} [/tex]

[tex] average~rate~of~change = 9 [/tex]

Answer:

9

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ 0, 2 ]

f(b) = f(2) = 2² + 7(2) + 10 = 4 + 14 + 10 = 28

f(a) = f(0) = 0 + 0 + 10 = 10, hence

average rate of change = [tex]\frac{28-10}{2-0}[/tex] = [tex]\frac{18}{2}[/tex] = 9

There are likely approximately 180 defective MP3 players in a shipment of 4,500 units.

The question asks how many MP3 players in a shipment of 4,500 units are likely to be defective given that a random sample of 50 MP3 players found 2 defective ones. To estimate the number of defective players in the entire shipment, we can use proportion. If 2 out of 50 MP3 players are defective, we set up a proportion to estimate the likely number of defectives in the entire 4,500 units.

Assuming the sample is representative of the whole shipment, the proportion would be:

2 (defective in sample) / 50 (sample size) = x (estimated defectives in shipment) / 4,500 (shipment size)

To solve for x, the likely number of defective MP3 players, we cross-multiply and divide:

2 / 50 = x / 4,500
50x = 2 * 4,500
50x = 9,000
x = 9,000 / 50
x = 180

Therefore, using the sample proportion, we would expect there to be approximately 180 defective MP3 players in the shipment.

Answer:

77,540

Step-by-step explanation:

Since 3 is less than 4, we round down a ten. This comes out to 77,540.

The Answer Would Be:

77,540

Answer:

Yes

Step-by-step explanation:

If you had 52,134 and 7,623, which one is greater? 52,134 because its in the ten thousands and 7,623 is in the thousands.

the sun interior angles of a triangle must be equal to 180degrees

option A 49, 59, 72 is the only one where the sum of the angles equal to 180 degrees

The set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Set of three angles:

The triangle's interior angles add up to 180°.

A.49,59,72

= 49 + 59 + 72

= 180(interior angles of a triangle)

B.28,58,62

= 28 + 58 + 62

= 148 (not an interior angles of a triangle)

C.39,89,108

= 39 + 89 + 108

= 236 (not an interior angles of a triangle)

D.45,70,85

= 45 + 70 + 85

= 200 (not an interior angles of a triangle)

Thus, the set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

Answer:

Option D 6 is the answer.

Step-by-step explanation:

the given points are A, D, C and B. If each point in the diagram can act as end points, we have to calculate number of distinct line segments formed.

This ca be calculated in two ways.

(1) We will form the line segments

AB, AC, AD, BC, BD, DC

Therefore 6 segments can be formed.

(2) By combination method

Number of segments = [tex]^{4}C_{2}[/tex]

= [tex]\frac{4!}{2!2!}=\frac{4\times 3\times 2\times 1}{(2\times 1)\times (2\times 1)}[/tex]

= [tex]\frac{4\times 3}{2\times 3}=\frac{12}{2}[/tex]

= 6

Option D 6 is the answer.

Answer:

6

Step-by-step explanation:

possible points are:

ad

ac

ab

dc

db

cb

The answer would be A

Final answer:

To round 2.684 to the nearest hundredth, you look at the third decimal place. Since it's a 4, you don't round up, keeping the second decimal at 8. The rounded number is 2.68.

Explanation:

To round the number 2.684 to the nearest hundredth, we need to look at the third digit after the decimal point, which is 4 in this case. Since the third digit (4) is less than 5, we do not round up the second digit. Therefore, the second digit after the decimal remains as 8, and the number 2.684 rounded to the nearest hundredth is 2.68.

So, the correct answer from the options provided is:

A. 2.68

The answer is 930 m^2. First, find the areas of each individual partbod the prism. The two side triangles would each be (5x12)/2. The back would be 5x29. The top would be 13x29. The bottom would be 12x29. Now add all of these together and you would get 930 m^2.

Answer:

The answer is graph 4.

Step-by-step explanation:

I literally just guessed it and got it right lol. Stay safe, ya’ll.

Final answer:

Carla spent two-fifths of her savings on a bracelet and had $9 left. Her original savings were $22.50, so the bracelet cost $9.

Explanation:

Carla spent two-fifths of her savings on a bracelet and had $9 left over. To determine the cost of Carla's bracelet, we need to let s represent her original savings. According to the problem, the remaining savings after purchasing the bracelet is s - (2/5)s = $9.

To solve for the cost of the bracelet, we can set up the equation (2/5)s = s - $9. By multiplying both sides by 5/2 to isolate s, we get:

s = (5/2) * ($9)

s = $22.50

So her original savings were $22.50. This means Carla spent (2/5) * $22.50 on the bracelet. Calculating this gives:

Cost of bracelet = (2/5) * $22.50

Cost of bracelet = $9

Thus, Carla's bracelet cost $9.

Answer:

The bottle of perfume A contains more glass

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces

step 1

Find the surface area of Perfume A

[tex]SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}[/tex]

step 2

Find the surface area of Perfume B

[tex]SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}[/tex]

step 3

Compare the surface areas

[tex]24\ in^{2}>21.25\ in^{2}[/tex]

therefore

The bottle of perfume A contains more glass

The correct answer is D ) -2

Answer:

the awnser is D

Step-by-step explanation:

The answer is D because if you do 26 divided by 104 then you get .25 which is equivalent to 1/4

The correct choice is  D. 26/104

By the simplification of fractions we get

26 / 104 as 1/4

See the attached figure

Answer:

8 hours

Step-by-step explanation:

first car: speed=40, time=(t+3), distance=s1

second car: speed=55, time=t, distance=s2

speed=distance/time

distance=speed×time

s1=40×(t+3)

s2=55×t

since the cars would travel the same distance; s1=s2

40(t+3)  = 55t

40t+120 = 55t

15t = 120

t=8

Answer:

= 18 cubic inches

Step-by-step explanation:

The volume of a cone is given by the formula;

V = 1/3 × base area × height

While that of cylinder is given by the formula;

Volume = Base area × height

Since we need the cylinder to fit exactly inside the cone, then it  means that their bases are the same and heights are the same.

Therefore;

The cone has three times less volume compared to the cylinder.

Thus;

Volume of the cylinder = Volume of cone × 3

                                       = 6 In³ × 3

                                       = 18 cubic inches

B=5 units that is the answer

Answer:

C. 10z(x - 2y)

Step-by-step explanation:

10xz − 20y

Factor the terms

Factors of 10xz   =          2 ×       5 × x ×        z

Factors of -20yz = (-1) × 2 × 2 × 5 ×        y × z

Identify their greatest common factor

The common factors are 2, 5, and z. The greatest common  factor is 10z.

Rewrite them with the GCF as a factor

 10xz = 10z ×     x

-20yz = 10z × (-2y)

Replace the terms in the original expression with the factored terms

10xz − 20yz = 10z(x) + 10z(-2y)

Use the distributive property to isolate the greatest common factor

10z(x) + 10z(-2y) = 10z(x - 2y)

Answer:   y = -0.2(x - 2.25)² + 1.6125

Step-by-step explanation:

[tex]y = -0.2x^2 + 0.9x + 0.6\\\\y - 0.6 = -0.2x^2 + 0.9x\\\\y - 0.6 =-0.2(x^2-4.5x)\\\\y-0.6+\underline{(-0.2)(2.25)^2}=-0.2(x^2-4.5x+\underline{2.25^2})\\\\y-0.6-1.0125=-0.2(x-2.25)^2\\\\y-1.6125=-0.2(x-2.25)^2\\\\y=-0.2(x-2.25)^2+1.6125[/tex]

No one, due to cube is 3D and rectancle 2D

Best regards

I think it’s 61 degrees.

Answer:

400 meters for #14

Step-by-step explanation:

Because 1.9 is half of 3.8, and 1.9 is really 200 meters; all you have to do is multiply 200 meters by 2. Therefore, 400 meters.

400 meters is your answer for question #14

x=smaller number

y=larger number

x+y=12

y=3x-6

Let's begin with the first equation...

x+y=12

Let's substitute...

x+(3x-6)=12

4x-6=12

Let's add 6 to both sides as we proceed to isolate x...

6+4x-6=12+6

4x=18

Let's divide both sides by 4...

(4x)/4=18/4

x=9/2=4.5---smaller number

12-4.5=7.5s larger number

Answer:

The sum of the two numbers is -18.

Step-by-step explanation:

You can work your way through the problem starting with ...

1/3 the difference of two numbers is 12

Since 3 times 12 is 36, the difference of the two numbers is 36.

Then you are told ...

the larger number is 9

so the smaller number will be 9 less the difference, or ...

smaller number = 9 - 36 = -27.

Now, you know both numbers, so you know there sum is ..

9 + (-27) = -18 . . . . . sum of the two numbers

_____

You can work it also using L for the larger number, D for the difference. Then the smaller number is (L-D) and the sum is ...

sum = L + (L -D) = 2L - D

Filling in the values given for the larger number and the difference, you have ...

sum = 2·9 - 3·12 = 18 -36 = -18 . . . . . as before

Answer:

13x^3-2x^2+3x+13

Step-by-step explanation:

you add the like terms. For example, you can add 3x^2 and 2x^2, but not 6 and 2x^2.

Answer:   13x³ - 2x² + 3x + 13

Step-by-step explanation:

  5x³ + 3x² - 5x + 4

+ 8x³ - 5x² + 8x + 9

13x³ - 2x² + 3x + 13

Answer:

x = -48

Step-by-step explanation:

-12 * 4 = -48

X = -48

4*(-12)=-48.

Answer:

See below

Step-by-step explanation:

Part A

Formula

M = 2/3 * log(E/Eo)

Givens

M = ??

E = 2 * 10^15 joules

Eo = 10^4.4

Solution

M = (2/3) * log(2 * 10^15 / 10^4.4)

M = (2/3 ) log (7.96 * 10 ^ 11)

M = (2/3) * 11.901

M = 7.934

Part B

What the question is saying is that E/Eo = 10000

You don't have to figure out exact values.

M = 2/3 * log(10000)

M = 2/3 * 4

M = 8/3 or 2 2/3 or 2.66667

If you have choices, please list them.

Answer:

A ; M = 7.267

B ; M = 2.667

Step-by-step explanation:

Formula

M = (2/3) log (E/Eo)

M = 2/3 * log (2 * 10^15/10^(4.4) )

M = 2/3 * log( 7.9621* 10^10)

M = 2/3 * 10.901

M = 7.267 on the Richter scale.

Part B

Suppose that you use Eo and your base. Eo is 10^4.4

Now the new earthquake is E = 10000 * Eo

So what you get now is M = (2/3)* Log(10000 * Eo / Eo )

M = 2/3 * log(10000)

M = 2/3 of 4

M = 8/3

M = 2.6667

What this tells you is that if the original reading was (say) 6 then the 10000 times bigger reading would 8.266667

Answer:

D

Step-by-step explanation:

We know that parallel lines have equal slopes.

Let's transform the given equation to the form y = mx + b to find the slope (m is the slope). Shown below:

[tex]-4x+y=2\\y=4x+2[/tex]

So the slope is 4. Hence the parallel line will have a slope of 4.

Now we can write the equation of the parallel line as :

[tex]y=4x+c[/tex]

Since the line goes through (-1,3), we can plug in -1 into x and 3 into y to find out c:

[tex]y=4x+c\\3=4(-1)+c\\3=-4+c\\3+4=c\\c=7[/tex]

Now we know both m and c, so the equation of the parallel line is:

[tex]y=4x+7[/tex]

Answer choice D is right.

➷ The formula for circumference is [tex]\pi d[/tex]

1) [tex]\pi d = 31.4[/tex]

Divide both sides by [tex]\pi[/tex]

d = 9.99 (consider this to be 10)

Half this to find the radius

10/2 = 5

It would be figure B.

2) [tex]\pi d = 37.68[/tex]

Divide both sides by [tex]\pi[/tex]:

d = 11.99 (consider this to be 12)

Divide by 2 to find the radius:

12/2 = 6

It would be figure C.

3) area = [tex]\pi r^2[/tex]

[tex]\pi r^2 = 153.86[/tex]

r^2 = 48.97515909

r = 6.998 (consider this to be 7)

It would be figure D

4) [tex]\pi r^2 = 113.04[/tex]

r^2 = 35.98174

r = 5.998 (consider this to be 6)

It would be figure C.

5) radius = diameter / 2

radius = 3

[tex]\pi (3)^2 = 28.27433[/tex]

It would be option C

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

he is right

becasue he knows what he is talking about