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Zarrin [17]
2 years ago
12

DE if the radius is 2 meters

Mathematics
1 answer:
Murljashka [212]2 years ago
4 0

Answer:

4

Step-by-step explanation:

diameter is 2 radius

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for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?​
Evgesh-ka [11]

Answer:

a = -2 or a = -5

Step-by-step explanation:

We want f(a) = a^2 + 7a + 12 = 2. We can subtract 2 from both sides of this equation to get a^2+7a+10=0. We can factor this to get that (a+2)(a+5)=0. When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.

4 0
2 years ago
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?
Mandarinka [93]

Answer:

There are 8 more girls

Step-by-step explanation:

If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.

Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.

6 0
3 years ago
"In the 45°-45°-90° triangle above, r = 10. Find the other two lengths.
Basile [38]

We are given a right triangle that has angles of 45°-45°-90°. This would indicate that the triangle is an isosceles type. We can use some trigonemetric functions to solve for the other legs. We do as follows:

 

sin 45 = p / 10

p = 5√2

 

cos 45 = q /10

q = 5√2

 

<span>Hope this answers the question. Have a nice day.</span>

5 0
3 years ago
Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont
solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that \mu = 36, \sigma = 2

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

Z = \frac{X - \mu}{\sigma}

-2.054 = \frac{X - 36}{2}

X - 36 = -2.054*2

X = 31.89

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0
2 years ago
Find the degree of w
lorasvet [3.4K]

Sum of angles of a linear pair = 180. So angle with measurement 142 and the adjacent angle to it have a sum = 180.

THerefore 142+y=180

Subtracting 142 from both sides

y = 38

Now in the down right sides corner triangle

38+49+w=180

87+w=180

Subtracting 80 from both sides,

w = 93

So the measurement of angle w = 93 .

4 0
3 years ago
Read 2 more answers
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