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likoan [24]
2 years ago
7

Which trail is the closest in length to 10.5 kilometers?

Mathematics
1 answer:
Yuliya22 [10]2 years ago
4 0
First of all you calculate the difference between the numbers:
10.5 - 10.653 = -0.153
10.5 - 10.592 = -0.092
10.5 - 10.732 = -0.232
10.5 - 10.484 = 0.016

You then select the difference with the smallest number (ignoring the positive and negative symbols). That happens to be the last one.

This means that the answer will be D) Spruce Trail.
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PLEASE HELP ME! I am suck on this math assignment
patriot [66]

Hey there! I'm happy to help!

-----------------------------------------------------------------------------------------

<u>QUESTION 18</u>

Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).

\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right]

Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.

\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right]

So, your answer is \left[\begin{array}{ccc}16\\16\\\end{array}\right].

-----------------------------------------------------------------------------------------

<u>QUESTION 14</u>

We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.

\frac{x^2}{25} + \frac{y^2}{16}=1

We subtract \frac{x^2}{25} from both sides.

\frac{y^2}{16}=1-\frac{x^2}{25}

We multiply both sides by 16.

y^2=1-\frac{x^2}{25}*16

We square root both sides.

y= \sqrt{1-\frac{x^2}{25}*16

We can take a four out of our root (because 16 is a perfect square so it can be simplified more).

y= 4\sqrt{1-\frac{x^2}{25}

And we take out 1/5 (which is the square root of 1/25).

y=± \frac{4}{5}\sqrt{1-x^2

-----------------------------------------------------------------------------------------

<u>QUESTION 17</u>

We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.

From now on, they will be winning 2/3 of their games. Let's look at the answer options.

A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.

B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.

C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.

D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.

-----------------------------------------------------------------------------------------

<u>QUESTION 16</u>

Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.

This eliminates answer choices B and D as they do not have the equal part on the inequality.

Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.

So, our final answer is A.

-----------------------------------------------------------------------------------------

<u>QUESTION 12</u>

You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:

2×2 times 2×1 YES

2×1 times 2×2= NO

3×3 times 3×1= YES

3×1 times 3×3= NO

-----------------------------------------------------------------------------------------

Have a wonderful day and keep on learning! :D

6 0
2 years ago
Preston is making cookies. He has fraction 4 over 5 cups of flour in a bag. He then used two fractions 1 over 10 cup scoops of f
maks197457 [2]
Step 1: 1/10 + 1/10 = 2/10

Step 2: 4/5 - 2/10
GCF: multiply both sides of 4/5 by 2 = 8/10

Step 3: 8/10 - 2-10 = 6/10

ANSWER: C <span>fraction 6 over 10, because fraction 4 over 5 minus 2 times fraction 1 over 10 equals fraction 4 over 5 minus fraction 2 over 10 </span>
8 0
3 years ago
Read 2 more answers
How many inches are in 7 and 1/2 feet?
Over [174]

Answer:

90 inches

Step-by-step explanation: 7 feet*12 inches= 84 and .5 feet*12 inches= 6.

84 inches+ 6inches=90inches

4 0
3 years ago
Read 2 more answers
Can someone pls help me with this?
lara [203]

Answer:

14 is A

15 is B

Step-by-step explanation:

14 . the answer is a because first off the slope is negative so we can immediately eliminate B and D second of all the slope is 1/2 so we can eliminate D and get that the answer has to be a

15. answer is B for this one because first of all the slope is negative so we can immediately eliminate A and c and second of all the y-intercept would be 120 because 90 is what x=1 so we would have to add 30 to get what y would equal when x=0 if that makes sense

5 0
2 years ago
Evaluate 4|-2| - |-3|
vichka [17]
Absolute value of -2 is 2
absolute value of -3 is 3
so now the equation is 4 x 2 - 3
do 4 x 2 first = 8
now do 8 - 3 = 5
6 0
3 years ago
Read 2 more answers
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