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Vilka [71]
3 years ago
10

The area of a trapezoid is 144 ft squared if the height is 8 feet and one of the bases is 12 ft what is the length of the other

base
Mathematics
1 answer:
zlopas [31]3 years ago
7 0

Answer:

24

Step-by-step explanation:

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f. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probab
vladimir2022 [97]

Answer:

D. 1/2

Step-by-step explanation:

Coin tosses are independent.  Past results don't affect future probabilities.  So the probability of getting heads on the fourth toss is still 1/2.

7 0
3 years ago
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When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con
marusya05 [52]

Answer: The mass of the object is 10 kg

Step-by-step explanation:

According to Newton's second law of motion, the force F applied to an object with mass m is directly proportional to its acceleration a:

F=ma (1)

If we isolate a:

a=\frac{F}{m} (2) This means the acceleration of the object varies inversely with its mass

Now, we are given the following data to calculate a constant force using (1):

m_{1}=4 kg

a_{1}=5 m/s^{2}

F=m_{1}a_{1} (3)

F=(4 kg)(5 m/s^{2) (4)

F=20 N (5)

If we apply this same force calulated in (4) in another object with an acceleration of a_{2}=2 m/s^{2}, its mass m_{2} will be:

F=m_{2}a_{2} (6)

20 N=m_{2}2 m/s^{2} (7)

Finding  m_{2}:

m_{2}=10 kg This is the mass of the object

4 0
3 years ago
Without graphing is the system independent, dependent, or inconsistent?
rewona [7]
Y = -2 x - 9
3 x - 4(-2 x - 9 ) = -8
3 x + 8 x + 36 = - 8
11 x = - 44,   x = - 4 
y = 8 - 9 ,      y = -1
This is a unique solution, the system is independent.    
3 0
3 years ago
Rewrite 12/17 as a decimal number. Round to the nearest thousandth.
Natasha_Volkova [10]

Answer:

0.706

Step-by-step explanation:

Convert 12/17 to decimal by dividing the numerator by denominator.

12 ÷ 17 = 0.70588.......

The nearest thousandth is the third decimal place.

If we round up: 0.706

If we round down: 0.705

Because the fourth digit is "8", we round up.

If the digit after the one you want to round to is 5 or greater, then you round up. If the digit after is 4 or less, round down..

12 ÷ 17 = 0.70588....... ≈ 0.706

4 0
3 years ago
What is the measure of \angle x∠xangle, x?<br> Angles are not necessarily drawn to scale.
GuDViN [60]

Answer:

31

Step-by-step explanation:

x + 149 = 180

x = 180 - 149

x = 31

Answer: 31

3 0
2 years ago
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