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belka [17]
3 years ago
7

I need the final answer! round to 3 decimal places

Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0
6.438 is the final answer
mina [271]3 years ago
4 0

Answer:

6.438 Is the answer you're looking for!

Step-by-step explanation:

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Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠
prohojiy [21]

Answer:

B,30

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high. Which of the thre
timurjin [86]
First, all the heights have to be converted to similar units, say feet.

Therefore,
Building= 20 feet
Tree = 252*0.083333 = 21 feet
Flagpole = 6*3 = 18 feet

The tallest of the three is the tree and thus should cast the longest shadow. However, it should be noted that at exactly noon when the sun is overhead, all the three will have equal length of shadow (that is, 0 feet long).
3 0
3 years ago
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r
svp [43]

Answer:

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that a = 50, b = 52

If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

3 0
3 years ago
A house that costs $125,400 appreciates at a rate of 3% each year. What is the value of the
ser-zykov [4K]

Answer:

The value after three years is $137,027.97

Step-by-step explanation:

Here, we want to get the value of the home after 3 years

Generally, we have the exponential formula as follows;

y = P(1 + r)^t

where P is the original cost which is $124,400

r is the rate of increase which is 3% = 3/100 = 0.03

t is the time which is 3 years

Substituting these values;

y = 125400(1 + 0.03)^3 = $137,027.97

6 0
3 years ago
How many students can sit around a cluster of 7 square table? The tables in a classroom have square tops. Four students can comf
Sveta_85 [38]

Answer:

16 students can sit around a cluster of 7 square table.

Step-by-step explanation:

Consider the provided information.

We need to find how many students can sit around a cluster of 7 square table.

The tables in a classroom have square tops.

Four students can comfortably sit at each table with ample working space.

If we put the tables together in cluster it will look as shown in figure.

From the pattern we can observe that:

Number of square table in each cluster   Total number of students

                     1                                                                 4

                     2                                                                6

                     3                                                                8

                     4                                                                10

                     5                                                                12

                     6                                                                14

                     7                                                                16

Hence, 16 students can sit around a cluster of 7 square table.

8 0
3 years ago
Read 2 more answers
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