Space Shuttle Marion is observing the launch of a space
shuttle from the command center. When she first sees the
shuttle, the angle of elevation to it is 16°. Later, the angle
of elevation is 74°. If the command center is 1 mi from the
launch pad, how far did the shuttle travel while Marion was
watching? Round to the nearest tenth of a mile,

Answer:

we know the trapezoids are similar, so that means all sides are at a ratio, thus

that means from the model to actual, the scale is 1:12, so the large side is 12 times as large.

so for the large trapezoid

EF = 6 * 12 =... 72

EH = 4 * 12 =.. 48

HG = 3 * 12 = ..36

GF = 3 * 12 =...36

72+48+36+36 = 192.

Step-by-step explanation:

Answer:

X = 2

AB = 39

CB = 27

Step-by-step explanation:

Since it's a parallelogram (two pairs of parallel sides), we can set each opposite side equal to each other. We know the equation for two opposite sides, side AD and side CB, therefore:

[tex]AD=CB\\14x-1=9x+9\\5x=10\\x=2[/tex]

Now that we know x, we can solve the other equations:

[tex]12x+15=AB\\12*2+15=AB\\24+15=AB\\39=AB[/tex]

And:

[tex]9*2+9=CB\\18+9=CB\\27=CB[/tex]

Answer:

- 2

Step-by-step explanation:

Slope, m = (y1-y2)/(x1-x2)

              = ( -3 -1)/(-2- -4) =

                       -4 / ( 2) = - 2

Sloep:-

Answer:

5

Step-by-step explanation:

slope: increase in y ÷ increase in x

slope: (45-15)÷(9-3)

slope: 30÷6

slope: 5

Answer:

The best customary unit of measurement to measure the lengths of the rope for knot-tying would be:
Inches (in.)

Alex can also use feet, yards, and miles, but Inches are the best measurement to use in this situation.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

Hope this helps =)

Step-by-step explanation:

Answer:

And the answer may be 3/8 and 11/8 (among an infinite amount of different rational numbers less than 188 of the actual side length), as shwon below.

Explanation:

1) Calculate the side length of the bulletin board in the shape of a square:

The area of a square is equal to the square of length of the sides

A = x²

Substitute A = 150 unit²

150 = x²

Extract square root of both sides:

2) Find two rational numbers that are within, this is they are less than, 1/8 of the actual side length:    

Since, 12² = 144 and 13² = 169, the square root of 150 is between 12 and 13.

Then, you can pick any two whole numbers less than 13 and multiple them by 1/8.

Remember that multiplying by 1/8 is the same that dividing by 8.

Choose 12 and 11, for instance, and two rational numbers that are less than 1/8 of the actual side length are 12/8 and 11/8.

12/8 can be simplified to 3/2 and 11/8 is in its simplest form.

Thus, two rational numbers that are within 1/8 of the actual side length of the bulletin board are 3/2 and 11/8.

Step-by-step explanation:

hope this helps if does mark brainllest pls! :)

Area:-150sq units

Now

Now

So

new side length:-

Answer:

13.15

Step-by-step explanation:

Answer:

116.25 or [tex]\frac{465}{4}[/tex]

Step by Step Explanation;

500=35+4n

Subtract 35 from both sides

465=4n

[tex]\frac{465}{4}=n[/tex]

[tex]116.25=n[/tex]

Hope This Helps! :) Please Mark as Brainliest!

Answer:

Step-by-step explanation:

This are 3 triangles

One big one, that is divided into 2

 Of the 2 triangles one is smaller than the other

So

inside the big trangle we have:

Small triange (Small side = 8/ Median side = y /large side =12

Median triangle(small side = y/ Median side = x/ Large side = z

             And then the 2 triangles make a big  triangle:

Large triangle (small side=12/ Median side= z/  Large side = 8+x

Answer:

6300000

Step-by-step explanation:

7,000,000-700,000=6300000

Answer:

10 times greater

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

The answer is: 7π6=−π6

π= 3.14 or 22/7

so 7x3.14= 21.98

than divide by 6

Answer:

Step-by-step explanation:

he has 1/4 remaining as he has only used 3/4

The net payoff obtained during the game is $40. Option D is the correct answer.

The term "net payoff" describes the profit or loss realised from a transaction or operation after deducting all costs, charges, and taxes. It is determined by deducting the total cost of the activity or investment from the total income received. A gain is shown by a positive net reward, whereas a loss is indicated by a negative net payoff.

Given that, each round cost $20, and each win gives $50.

Now, for 3 rounds the total cost is:

$20 x 3 = $60

After winning the two round the win amount is:

$50 x 2 = $100

Now, the net payoff is:

$100 - $60 = $40.

Hence, the net payoff obtained during the game is $40. Option D is the correct answer.

Learn more about net payoff here:

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#SPJ1

Answer:

1 2 3 ways for it to function

Step-by-step explanation:

Answer:

Vertex form is

[tex]a(x - h) {}^{2} + k = y[/tex]

where (h,k) is the vertex

So our vertex form is

[tex]a(x - 3) {}^{2} + 5 = y[/tex]

It passes through (6,0) so we have

[tex]a(6 - 3) {}^{2} + 5 = 0[/tex]

Solve for a.

[tex]a(3) {}^{2} + 5 = 0[/tex]

[tex]a(9) = - 5[/tex]

[tex]a = \frac{ - 5}{9} [/tex]

So our equation is

[tex] - \frac{5}{9} (x - 3) {}^{2} + 5[/tex]

Answer:

4.14x3.14=12.9996

Step-by-step explanation:

This is the closest to 13 ft via circumference

Here is a few equations a dn formulas to remind you.

Area=3.14xRxR or Pi*rr

This is Pi times the radius times the radius.

The radius is half of the circle or half of the Diameter.

Area(semi-circle)=1/2x3.14xrxr

Circumfrence=3.14xDor 3.14xdiameter

If this answer helped pls give brainlest.

Answer:

-5

Step-by-step explanation:

[tex]gradient=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

              =[tex]=\frac{-8-2 }{3-1}[/tex]

             =-5

Hope it helps:)

[tex]\textsf{The gradient of a line passing through two}[/tex][tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]

[tex]\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]

Here,

Putting Values:-

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Gradient =\frac{-8-2}{3-1} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{\cancel{-10}}{\cancel{2}} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf -5 \\\end{gathered} \end{gathered} [/tex]

>>The gradient of the line segment is -5

Answer:

see explanation

Step-by-step explanation:

A

when 2 equal bases are being multiplied together their exponents are added together, that is

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

B

[tex]12^{5x}[/tex] × [tex]12^{-7}[/tex] = [tex]12^{5x-7}[/tex]

C

[tex]x^{4}[/tex][tex]y^{6k+2}[/tex] × x²[tex]y^{-1}[/tex]

= [tex]x^{4}[/tex] × x² × [tex]y^{6k+2}[/tex] × [tex]y^{-1}[/tex]

= [tex]x^{(4+2)}[/tex] × [tex]y^{(6k+2-1)}[/tex]

= [tex]x^{6}[/tex][tex]y^{6k+1}[/tex]

#A

#B

#C

Answer: $150

the sports drink is only 25% smaller in the price compared to the tropical

but is 2-3 times fewer supplies than the low pretty convenient but the most you get from the tropical is $92

the most you can stink out of this sum is $150

Step-by-step explanation:

Answer:$150

Step-by-step explanation:

the sport drink is only 25% less in the price compared to the tropical...

but is 2-3 times less supplies than the tropical... pretty convenient but the most you get from the tropical is $92

the most you can suck out of this total is $150

MARK ME BRAINLEST

Answer: 1:3 A

Step-by-step explanation:

if you multiply 24 by 3 you get 72 it shows that 1:3 is equivalent! your welcome

Answer:

1201.2 in (100.1ft)

Step-by-step explanation:

A scale model represents a ratio. All sides must be shrunk or increased based on a constant value. In this case the ratio of the model is 1/13 the size of the original giving us a 1:13 ratio. So each side of your scale model must be multiplied by 13 to find the real value of the side.

First convert all units to inches then divide the width of the real windmill by the width of the scale model (both in inches) you will see the answer is 13. Multiply the inch values of all sides of your model by 13 and this gives you the proportional value of each side of the real windmill in relation to the scale model.

Answer:

4x+12

Step-by-step explanation:

4(x+3)=4x+12.

You use the distributive property by multiplying both numbers in the parentheses by 4

Answer:

4x +12

Step-by-step explanation:

Distributive property: a*(b + c) = (a *b)+(a *c)

Here, a = 4 ; b = x and c = 3

4*(x + 3) = 4*x + 4*3

             = 4x + 12

Answer:

Subtract 3 from both sides.

Step-by-step explanation:

x + 3 = 5

x = 5 - 3

x = 2

I know I`m late sorry, still wanted to answer

. _ .

The total amount paid for the mortgage will be $123750 and the cost of the mortgage is $178750.

From the information, Kerri takes out a mortgage for $55,000 at 9% for 25 years. The total amount paid will be:

= ($55,000 × 9% × 25)

= $123750

The cost of the mortgage will be:

= $55000 + $123750

= $178750

The monthly payment will be:

= ($55000 + $123750) / 25 years

= $178750/(25 × 12)

= $178750/300

= $595

Learn more about mortgage on:

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Answer:

4.7m

Step-by-step explanation:

35/7.5

=4.7m

Am sure am correct