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emmasim [6.3K]
2 years ago
11

What is the value of k?

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
3 0

Answer:

k = 10

Step-by-step explanation:

The triangles angels added up must equal 180 degrees, and the top angle is 65 degrees by the 180 degree rule.  

So 10k + 15 must equal the remaining 115

subtract 15 from each side and you get 10k = 100

divide each each by 10 and you get the answer of k = 10

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10,000$(1+0.055*8)
This is the formula of simple interest

10,000+10,000(0.055*t)
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Which expression is equivalent to 3x + 2.5(4x + 2)?
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I think its B

Step-by-step explanation:

Hope this helps:)

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The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first
gulaghasi [49]

The question is incomplete so I am writing the complete question below and attaching the scatter plot as well.

The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown

How many of the nine people have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit?

Answer:

4 people have an actual height that differs by more than 3 cm from the height predicted by the line of best fit.

Step-by-step explanation:

The question is asking us to identify which people have a height that is more than 3 cm greater or more than 3 cm less then the height predicted by the line of best fit. Hence, we need to look at the outliers of the line if best fit i.e. the points which do not lie on the line. We need to select the points that differ by 3 or more cm.

So, we can see that the first person (4 cm) has an actual height of 157 cm but the line of best fit shows the height is 161.5. So, there is a difference of more than 3 cm (161.5 - 157 = 4.5).

The second outlier at 4.3 has an actual height of 175 cm but the line of best fit shows a height of 167 cm. There is a difference of 8 cm hence this person also has an actual height which differs by more than 3 cm from the line of best fit.

At 4.8 cm metacarpal bone height, the person's actual height is 172 cm but the graph shows a height of 176 cm hence this person also has an actual height which differs by more than 3 cm from the line of best fit.

At 4.9 cm on the x-axis, the person has an actual height of 183 cm but the line of best fit shows 178 cm so this person also has an actual height which differs by more than 3 cm from the line of best fit.

So, in total there are 4 people out of 9 whose heights differ by more than 3 cm from the line of best fit.

6 0
2 years ago
Ellie practices piano 2/3 h per day, several days each week. She practiced piano 32 2/3 hours during the summer. What equation c
SVEN [57.7K]

hello :)

so let me just give you the answer first:

2/3 * d = 32 2/3

here is why

so since the sentence said 2/3 PER day, then d (the number of days) multiplied by the time spent each day playing piano should give you how much time was spent in total over the certian number of days.

the 32 2/3 is just the amount of time ellie spent (as you have said)

so, this equation would be the correct one.

i hope this helped you out! please vote me for brainliest and have splendid day!

4 0
3 years ago
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