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guajiro [1.7K]
4 years ago
5

Which table correctly shows all the sample spaces for tossing a coin and rolling an even number on a six-sided number cube?

Mathematics
1 answer:
kotykmax [81]4 years ago
4 0
Tossing a coin would be 1/2 because a coin has two sides and it has 1 out of two sides to land on the side you want it to land on. So that answer is 1/2. The dice rolling on an even number on a six-sided number cube would be 3/6. Which if you simplify it, it would be 1/2. The answer to both of them is 1/2!
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In ΔFGH, what is the measure of < H?
kogti [31]
X + x - 1 + 43 = 180.  Solve for x.  2x +42 = 180 and 2x = 138.  Therefore, x = 69.  If x = 69, then angle H is 68 and angle G is 69.  68 + 69 + 43 = 180.

3 0
3 years ago
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

F = \dfrac{9}{6^x}

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

W = \int\limits^{x_2}_{x_1} {F(x)} \, dx

with x_1 and x_2 the initial and final displacements respectively.

From the question, x_1  =0 and x_2 = 12.

Then

W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx

Evaluating the indefinite integral,

\int\limits \dfrac{9}{6^x} \, dx  =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx

From the rules of integration,

\int\limits a^x\, dx = \dfrac{a^x}{\ln a}

9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x

Returning the limits,

\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}

4 0
3 years ago
I’ll give brainliest!! please help and answer correctly! plsss answer quick
zaharov [31]

Answer:

the motion of the object will stay the same

Step-by-step explanation:

7 0
3 years ago
If a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes?
professor190 [17]

Answer:

1 1/2x

Step-by-step explanation:

90 minutes is 1 and 1/2 hours so I put that with the x on the end so when you get the number times it by that

4 0
3 years ago
Cassie spends 2/3 of her money on supplies. Cassie spends her remaining money on 3 sandwiches. Each sandwich costs $5.25. How mu
Irina18 [472]
In words:
Three sandwiches, each costing $5.25, equals 1/3 of Cassie's total money

We can write the formula:

(5.25*3)=1/3x

Now solve:

15.75=1/3x
3(15.75)=x
x=$47.25
Hope this helps!!
3 0
3 years ago
Read 2 more answers
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