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Andrew [12]
3 years ago
7

An observer 2.5 miles from the launch pad of a space shuttle measures the angle of elevation to the base of the shuttle to be 25

◦ soon after lift-off. d Observer θ How high is the shuttle at that instant (assuming that the shuttle is still moving vertically)? Answer in units of miles.

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0

Answer:

Height of shuttle at that instant  = 1.17 miles

Step-by-step explanation:

Refer the given figure.

C is the position of rocket and B is the position of observer.

Here we need to find AC, that is the height of shuttle at that instant.

Using trigonometric rules on ΔABC, we have

      tan25=\frac{AC}{AB} \\\\tan25=\frac{AC}{2.5}\\\\AC=2.5\times tan25\\\\AC=1.17miles

Height of shuttle at that instant = AC = 1.17 miles

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A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip to
notka56 [123]

Answer:

Average speed is 48 km per hour

Step-by-step explanation:

A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip took 20.0 min. (a) What was her average speed? in km/hr

Distance traveled is 16 km and the time taken is 20 minutes

convert minutes into hour. to convert minutes into hour we divide by 60 because 1 hour = 60 minutes

\frac{20}{60} =\frac{1}{3}

so time = 1/3  and distance = 16

Average speed = distance by time

speed =\frac{16}{\frac{1}{3} } =\frac{48}{1}= 48

Average speed is 48 km per hour

4 0
3 years ago
Find the slope and y-intercept of the line
Serhud [2]

Answer:

C

Step-by-step explanation:

The slope is 1.  Note how each time x increases by 1 unit, y also increases by 1 unit.

The y-intercept is (0, -1).

Answer C is correct.

5 0
3 years ago
IF YOU ANSWER ALL OF THESE I WILL MARK YOU BRAINLIEST
hjlf
1).  $2,700 is  (2,700/6,000) = 45% of  6,000.

      It took 6 years to earn it, so it earned (45%/6) = 7.5% each year.
      That's the simple-interest rate.
_________________________________

2).  The investment earns 4.5% each year, so it earned 9% in 2 years.

      The $1,150.65 is the 9% of the original investment.  Call it V.

      1150.65 = 0.09 x V .

Divide each side by 0.09 :

         V  =  1150.65 / 0.09  =  $12,785 .
____________________________________

3).  There are 18 marbles in the bag all together.

a).  8 of them are green.  If you close your eyes and pull out 1 marble,
the probability that it's a green one is
                                                               8/18 = 4/9  =  44.4% .

b).  If it was a red marble, and you put it in your pocket, then
there are only 17 in the bag now, and 8 of them are still green.

If you pull another one, the probability that it's green is

                                                               8/17  =  47.1% .
____________________________________

5).  There are 10 marbles in the bag all together.
(The second sentence doesn't say anything, and doesn't mean anything.)

If you pull out a silver marble and put it in your pocket, then
there are 9 marbles in the bag, and 2 of them are orange.

The probability of pulling an orange marble now is

                                  2/9  =  22.2% .
5 0
3 years ago
1. x2 + 12x + 27 = 0<br> what’s the answer ?
Ostrovityanka [42]

Answer:

x^{2} + 3x +9x +27 = 0

x(x+3)+9(x+3)=0

(x+3)(x+9)=0

x=-3, x=-9

Step-by-step explanation:

a=1 b=12 c=27

sum=12

factor=27x 1

          3x9

also 3+9=12

8 0
3 years ago
Write an equation in slope-intercept form for the line that passes through (-3, 5), and is perpendicular to the graph of 5x - 6y
bezimeni [28]
Y =-6/5x+7/5 Please vote me as brainliest if you think i helped and i attached a photo with work as well :) Have a great day

4 0
3 years ago
Read 2 more answers
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