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myrzilka [38]
3 years ago
8

Answer the first word problem please! And show work

Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer:

b= 9.17 ft

Step-by-step explanation:

The 4 feet from the wall is the bottom part of the triangle. The 10 ft. ladder is the hypotenuse of the triangle. Use the Pythagorean Theorem and substitute the known values.

a^2+b^2=c^2

4^2+b^2=10^2

Then square all the known values

16+b^2=100

Then get b by itself

b^2=-16+100

add -16 and 100

b^2=84

and finally square root both sides of the equation

b=9.16515 ft or 9.17 ft

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I really need help! I'm stuck.
Dovator [93]

y-axis = altitude in feet

x-axis = minutes

slope = y/x = feet/minute


According to above data, we know that 1800 feet is y-intercept and slope is -300 feet per minute (why slope is negative? because its approaching ground at a constant speed)

a. slope = -300

  y-intercept = 1800


b. y = -300 x + 1800


c. Here we are given x = 2 minutes

y = -300(2) + 1800

y = -600 + 1800

y = 1200

The balloon will be 1200 feet high above the ground in 2 minutes.


d. Here we are given 300 feet which is y, and find x minutes.

y = -300 x + 1800

300 = -300x + 1800

300 - 1800 = - 300x

-1500 = -300x

1500 = 300 x

x = 1500 / 300

x = 5

The balloon will reach 300 feet above the ground in 5 minutes.


e. It asking when the balloon will reach the ground, if the balloon reaches the ground than the height will be 0, therefore x-intercept (y=0).

y = -300 x + 1800

0 = -300 x + 1800

-1800 = -300x

1800 / 300 = x

x = 6

The balloon will reach the ground in 6 minutes.


<em>//Hope this helps</em>

3 0
4 years ago
Everyday an automobile factory assembles 46 more cars than trucks.
Alex17521 [72]

Answer:

55

Step-by-step explanation:

46 more cars than the 9 trucks = 46+9=55 cars

46+t=c

4 0
3 years ago
Read 2 more answers
The Point-Slope Form of a line perpendicular to y = 2x - 10. and passing through the point (3.1)
valkas [14]

Answer:

y-1=2(x-3)

Point slope form is Y-y1=m(X-x1)

M= slope

y1= the y co-ordinate of your point

x1= the x co-ordinate of your point                                  

3 0
3 years ago
600 over 1000 converted to simplest from
AnnZ [28]
0.6 or 3/5
decimal and simplest fraction
5 0
3 years ago
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Write an equation that represents the line. Use exact numbers
malfutka [58]

Answer:

f(x) = -2x -3

Step-by-step explanation:

-3 is the point in the y-axis, making it value b

the slope is 1/-2 making the value m = -2

8 0
3 years ago
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