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3 years ago

Find the range of the possible lengths for the third side of a triangle with two sides of the given lengths 6 and 8

Mathematics

1 answer:

marusya05 [52]3 years ago

4 0

C must be more than 2 and less than 14

$2 < c < 14$

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A pilot has just started on the glide path for landing at an airport with a runway of length 9000 feet. The angles of depression

ki77a [65]

Answer:

a. See attachments

B. 163630.2ft

C. 147056.70ft

D. 49205.4ft

Step-by-step explanation:

Check attachments for details

Angle a.. Angle of dep to beginning of runway

Angle b... Angle of del to end of runway

AD... Altitude of plane

DB..... Ground distance before touch down

AC... Air distance travelled until touch down on the near end of runway

5 0

4 years ago

If you double president Reagan’s age at the time of his first inauguration(69) and subtract his age at the time he died the resu

e-lub [12.9K]

It should be:

69(2)=138
138-48=90

5 0

3 years ago

The table below represents the displacement of a turtle from its nest as a function of time: Time (hours) x Displacement from ne

andriy [413]

Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)

Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short, we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:

$slope= \frac{y_{2}- y_{1} }{ x_{2} - x_{1} } = \frac{93-27}{4-1}= \frac{66}{3}=22$

The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.

Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.

y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.

4 0

3 years ago

If mc010-1.jp g and mc010-2.jp g, which expression could be used to verify that mc010-3.jp g is the inverse of mc010-4. ? mc010-

solmaris [256]

if indeed two functions are inverse of each other, then their composite will render a result of "x", namely, if g(x) is indeed an inverse of f(x), then

$\bf (g\circ f)(x)=x\implies g(~~f(x)~~)=x \\\\\\ \begin{cases} f(x) = 3x\\ g(x)=\cfrac{1}{3}x \end{cases}\qquad \qquad g(~~f(x)~~)=\cfrac{1}{3}[f(x)]\implies g(~~f(x)~~)=\cfrac{1}{3}(3x)$

5 0

3 years ago

The first term of an arithmetic sequence is -5, and the tenth term is 13.

Nitella [24]

Answer:

The common difference is 2

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

a1 = -5

a10 = 13

Substituting n=10 a10=13 and a1 =-5

13 = -5 +d (10-1)

13 = -5 +9d

Add 5 to each side

13+5 = -5+5 +9d

18 = 9d

Divide each side by 9

18/9 = 9d/9

2 =d

7 0

3 years ago