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Answer:
125.6 cm²
Step-by-step explanation:
The relevant area formula is ...
Area = (1/2)ac·sin(B)
Area = (1/2)(13 cm)(21 cm)·sin(67°) ≈ 125.6 cm²
PLZ HELP HELP!!!!!!!Two pairs of jeans cost $75 before tax. If the total paid for the two pairs of jeans with tax was $81, what
1 answer:
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Answer:
The raw score for his exam grade is 99.69.
Step-by-step explanation:
Given : The professor announced that the mean for the class final exam was 88 with a standard deviation of 7. Given Daniel's z score of 1.67.
To find : What is the raw score for his exam grade?
Solution :
The formula use to find the z-score is
Where, z=1.67 is the z-score
is the means
is the standard deviation
x is the raw score for his exam grade
Substitute the values,
Therefore, the raw score for his exam grade is 99.69.
Answer:
Step-by-step explanation:
we know that
In the function f(x) the inflection point is at
In the function g(x) the inflection point is at
so
the rule of the translation of f(x) to g(x) is equal to
That means-----> the translation is units to the right and
units down
The equation of g(x) is equal to
therefore
Answer:
Step-by-step explanation:
Let . We have that
if and only if we can find scalars
such that
. This can be translated to the following equations:
1.
2.
3.
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
whose unique solutions are , but note that for this values, the third equation doesn't hold (3+2 = 5
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are . Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.