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Lady_Fox [76]
3 years ago
7

3a+4b simplified is...

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0
The answer is as simplified as low as it can be. 3a_4b
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"A 12​-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from t
Svet_ta [14]

Answer:

Step-by-step explanation:

The question has typographical errors. The correct question is:

"A 12​-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 3 ​feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 5 feet from the​ wall?

Solution:

The ladder forms a right angle triangle with the ground. The length of the ladder represents the hypotenuse.

Let x represent the distance from the top of the ladder to the ground(opposite side)

Let y represent the distance from the foot of the ladder to the base of the wall(adjacent side)

The bottom of the ladder is sliding along the pavement directly away from the building at 3ft/sec. This means that y is increasing at the rate of 3ft/sec. Therefore,

dy/dt = 3 ft/s

The rate at which x is reducing would be

dx/dt

Applying Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side², it becomes

x² + y² = 12²- - - - - - - -1

Differentiating with respect to time, it becomes

2xdx/dt + 2ydy/dt = 0

2xdx/dt = - 2ydy/dt

Dividing through by 2x, it becomes

dx/dt = - y/x ×dy/dt- - - - - - - - - - 2

Substituting y = 5 into equation 1, it becomes

x² + 5 = 144

x² = 144 - 25 = 119

x = √119 = 10.91

Substituting x = 10.91, dy/dt = 3 and y = 5 into equation 2, it becomes

dx/dt = - 5/10.91 × 3

dx/dt = - 1.37 ft/s

7 0
3 years ago
The interior angles of a triangle measures 180?<br> True or false
Ymorist [56]
 it is true because al triangles angles MUST add up to  180
8 0
3 years ago
I think it’s b but I’m not sure
laila [671]
No, its D

Just look at the rounds mentioned and subtract the scores from higher round with lower round.

Look at A: round 2 score - round 1 score = -2?
-3 -1 = -4 change, not -2 change so it is wrong

Look at B: round 3 score - round 1 score =-1?
-2-1 =-3 change, not -1 change so it is wrong

Look at C: round 3 score - round 2 score =-1?
-2 -(-3) = 1 change, not -1 change so it is wrong

Look at D: round 3 score - round 1 score =-3?
-2-1 = -3 change, matches with -3 so it is correct.
3 0
2 years ago
maria works as a florist and worked for 8 hours last week and earned 98$ at that rate how much will she earn this weekend if she
olga_2 [115]

$171.50

$98 ÷ 8 = $12.25 per hour

$12.25 x 14 = $171.50

7 0
3 years ago
Read 2 more answers
How far can light travel in 7 minutes?
Yanka [14]

Answer:

92 million miles

Step-by-step explanation:

hope this helps

sorry if it is wrong

plz mark brainliest

8 0
2 years ago
Read 2 more answers
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