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Mila [183]
2 years ago
10

A student wants to construct a circumscribed circle of a triangle. What is the first step he should take?

Mathematics
1 answer:
Ray Of Light [21]2 years ago
4 0

<u>Answer:</u>

The correct answer option is B. Construct the perpendicular bisector of each side of the triangle.

<u>Step-by-step explanation:</u>

We are given that a student wants to construct a circumscribed circle of a triangle and we are to determine whether which of the given answer options is the first step he should take.

The student needs to first construct the perpendicular bisector of each side of the triangle.

The perpendicular bisectors of each side of the triangle are constructed such that they meet at the center of the circumbscribed circle.

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(7x+5)(2x3-4x2+9x-3)
Zanzabum

I believe the answer is 3x(3x + 2)




Step-by-step explanation:


4 0
3 years ago
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand co
jok3333 [9.3K]

Answer:

76 mL of 8% and 304 mL of 13%

Step-by-step explanation:

Set up a table like this (this is the same table for any mixture problem):

                   mL total     *           % vinegar       =              % vinegar/mL

8%

13%

total %

What you do with this table is multiply the first 2 columns and they equal the last column.  We already know the middle column's entries from what we are given.  But remember that a percent needs to be expressed as a decimal:

                       mL total     *       % vinegar      =        % vinegar/mL

8%                                                 .08

13%                                                .13

total %                                  

Now we also know that the total he wants to make is 380 mL that is 12%, so all that info goes into the last row:

                      mL total       *       % vinegar        =        % vinegar/mL

8%                                                   .08

13%                                                  .13

total %            380                          .12

If he wants this total mixture to come from the 8% and the 13% vinegars, he is mixing them together, or adding them.  We need to know how much 8% + how much 13% will give us 380 mL of 12%.  So we can fill in the amounts accordingly.  If he has x mL of 8%, then he will have 380 - x of 13%.  The table tells us that we are multiplying the first 2 columns to get the third, so we will do that at the same time:

                       mL total         *          % vinegar        =        % vinegar/mL

8%                        x                *             .08                =          .08x

13%                 380 - x            *             .13                 =      .13(380 - x)

total %               380              *             .12                 =          45.6

Since we are adding the different vinegars together to get the total, we can do that with the last column as well.  This is our equation:

.08x + .13(380 - x) = 45.6  Multiply everything through by 100 to get rid of the decimals now:

8x + 13(380 - x) = 4560 and

8x + 4940 - 13x = 4560 and

-5x = -380 so

x = 76

This means that there is 76 mL of 8% and 380 - 76 = 304 mL of 13%

8 0
3 years ago
Let u = &lt;3, -1&gt;, v = &lt;-6, -6&gt;. Find 9u + 2v.
Gnom [1K]
9u means you're multiplying 9 into that vector, both components.  Same with the 2v.  9*3 = 27 and 9*-1 = -9, so your new vector u is <27, -9>.  Now let's do v.  2* -6 (twice) = -12, so your new v vector is <-12, -12>.  Add those together now, first components of each and second components of each.  27 + (-12) = 15; -9+(-12)=-21.  So the addition of those gives us a final vector with a displacement of <15, -21>
5 0
3 years ago
Now, determine a general rule for what happens when we have two exponential
fomenos
Y=mx+b so this means you’ll get the correct answer
3 0
3 years ago
a standard 35-mm movie projects 24 images each second. at this rate, how many images are necessary for a 1.5 hour movie ?
yuradex [85]
129,600. 60 seconds in a minute, 60 minutes in an hour 60x60=3600, so 3600 seconds=1 hour. 1800 seconds = half hour. 3600 + 1800 = 5400 seconds in 1.5 hours. 5400 x 24 = 129,600. Hence, 129,000 images are necessary for a 1.5 hour movie.

Hope this helps!
Have a nice day :)
-fart2fart
3 0
3 years ago
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