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andreev551 [17]
3 years ago
10

2. A triangle has sides of lengths 15, 23, and 28. Is it a right triangle? Explain.

Mathematics
1 answer:
Gelneren [198K]3 years ago
6 0

Answer:

Step-by-step explanation:

A question on a math quiz asks, "What is 175% of 72?" Petra calculates 12.6 as the answer. Is this a reasonable answer? Explain

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Melissa mows many lawns in her neighborhood. She mows lawns for $95 per lawn. She also offers full landscape maintenence for $12
olga55 [171]

9.52

125 * 4 = 500

500 * 9.52 = 4,760

6 0
3 years ago
* Let S = Span {(2,-1, 1), (3, 1, 1), (1, 2, 0)}. (i) Calculate the dimension of S.
Sholpan [36]

The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.

Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars c_1,c_2,c_3 (not all zero) such that

c_1 (2,-1,1) + c_2 (3,1,1) + c_3 (1,2,0) = (0,0,0)

which leads to the system of linear equations,

\begin{cases} 2c_1 + 3c_2 + c_3 = 0 \\ -c_1 + c_2 + 2c_3 = 0 \\ c_1 + c_2 = 0 \end{cases}

From the third equation, we have c_1=-c_2, and substituting this into the second equation gives

-c_1 + c_2 + 2c_3 = 2c_2 + 2c_3 = 0 \implies c_2 + c_3 = 0 \implies c_2 = -c_3

and in turn, c_1=c_3. Substituting these into the first equation gives

2c_1 + 3c_2 + c_3 = 2c_3 - 3c_3 + c_3 = 0 \implies 0=0

which tells us that any value of c_3 will work. If c_3 = t, then c_1=t and c_2 = -t. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.

Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.

3 0
2 years ago
How will a high outlier in a data set affect the mean and median?
RUDIKE [14]

Answer:

B. distribution skewed to the right, mean pulled to the right, median not effected

Step-by-step explanation:

When a distribution is skewed to the right, it means that the data is positively skewed or has more positive numbers than negative numbers.

An outlier can affect the mean of a distribution since a high value outlier will make the mean be much higher than the median. In this case, since the distribution is positively skewed, a high outlier will pull the mean to the right (to higher positive values).

5 0
3 years ago
5 is 5% of what number w
Burka [1]
If 5 is 5%, then we can say that 1 is 1%, so we can multiply by 100 to get 100% which is 100, your answer. I hope this helps!
8 0
3 years ago
Read 2 more answers
Evaluate 2x + 3 for x=4​
nevsk [136]

Answer:

11

Step-by-step explanation:

2x+3

2(4)+3

8+3

11

7 0
2 years ago
Read 2 more answers
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