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vodomira [7]
3 years ago
5

Zack flips a coin a rolls a number cube with sides labeled 1 to 6. What is the probability that he gets heads and a number great

er than 4?
Mathematics
2 answers:
Nitella [24]3 years ago
7 0
To get heads: 1/2 because there are two sides to a coin.

There are 6 sides on a cube and 2 numbers are greater than 4 (5 and 6) so 2/6

Now multiply: 1/2 * 2/6 = 2/12 = 1/6

1/6 is the final answer.
Andre45 [30]3 years ago
7 0
Your answer to your question is 2/6
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Veronica has to multiply 398 x 18. She says she can multiply 400 x 18 and then take away one group of 18
vredina [299]
No I don't agree with her because she is wrong and even if you multply 400 times 18 it will give you 7,200
8 0
3 years ago
A ladder 10 m long,leans against a vertical wall at an angle of 70° to the ground.if the ladder slips down the wall 4m,find,corr
lina2011 [118]

Answer:

(a) the new angle the ladder makes with the ground is 32.7^o

(b) the ladder slipped back about 5 meters

Step-by-step explanation:

Notice that the ladder doesn't change its length in the process.

So let's start from the initial situation , finding the distance from the ground at which the ladder touches the wall when the angle with the ground is 70^o. Notice that this situation is represented by a right angle triangle with the right angle between the wall and the ground (see attached image), and that we can use the sine function to find the side opposite to the 70 degree angle:

sin(70^o)=\frac{opposite}{hypotenuse} \\sin(70^o)=\frac{h}{10}\\h=10\, sin(70^o) \approx 9.4 \,\,m

therefore 9.4 meters is approximately the height at which the ladder touches the wall initially.

Now, if the tip of the ladder goes down the wall 4 meters, it is now at 9.4 m - 4 m = 5.4 m from the ground. We can therefore use again the sine function to solve for the new angle:

sin(x)=\frac{opposite}{hypotenuse} \\sin(x)=\frac{5.4}{10} \\sin(x)=0.54\\x=arcsin(0.54)\\x= 32.7^o

To answer the second question we need to find the original distance from the wall that the bottom of the ladder was originally, and for that we can use the cosine function:

cos(70^o)=\frac{adjacent}{hypotenuse} \\cos(70^o)=\frac{x}{10}\\x=10\,cos(70^o)\\x\approx 3.4  \,\,m

Now fro the new position of the bottom of the ladder relative to the wall:

cos(32.7^o)=\frac{adjacent}{10} \\adjacent=10\,cos(32.7^o)\\adjacent\approx 8.4\,\,m

then the difference in between those two distances is what we need:

8.4 m - 3.4 m = 5 m

4 0
3 years ago
Solve each problem. Explain or show your reasoning.<br> What is 25% of 160 ?
ExtremeBDS [4]

Answer:

0.25 x 160 = 40. So 40 is 25% of 160

Step-by-step explanation:

8 0
3 years ago
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A train left Podunk and traveled north at 75 km/h. Two hours later, another train left Podunk and traveled in the same direction
Andreyy89
Answer:

8 hours

Steps:

Train 1:

Hours: 1, 2, 3, 4, 5, 6, 7, 8

Miles: 75, 150, 225, 300, 375, 450, 525, 600

Train 2:

Hours: 1, 2, 3, 4, 5, 6, 7, 8

Miles: 0, 0, 100, 200, 300, 400, 500, 600
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3 years ago
If k(x) = 5x - 6, which<br> expression is equivalent to (k + k)(4)?
kogti [31]
28! hope this helps, you just plug in 4 for x, and then multiply by two.
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3 years ago
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