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olasank [31]
3 years ago
12

Can you help me find the values of x and y. Please

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0
When a triangle has angles 30°, 60°, and 90°, its side lengths are related to each other by a special ratio.

This ratio is such that the side opposite the 30°-angle is 1, the hypotenuse is 2, and the side opposite the 60°-angle is √3. This gives a ratio 1:2:√3.

Now, if we put in 7 for the side length opposite the 30°-angle, then the hypotenuse y must be 2 · 7, or 14, and the unknown leg x must be 7√3.

In sum: x=7 \sqrt{3}, y=14.
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A number line goes from negative 5 to positive 5. Point D is at negative 4 and point E is at positive 5. A line is drawn from po
Ronch [10]

<em>Directed numbers</em> are numbers that have either a <u>positive</u> or <u>negative </u>sign, which can be shown on a <em>number line</em>. Therefore, point F is Fifteen-halves of line <em>segment</em> DE.

A <u>number line</u> is a system that can show the positions of <em>positive</em> or <em>negative</em> numbers. It has its <em>ends</em> ranging from <em>negative infinity</em> to <em>positive infinity</em>. Thus any <em>directed</em> number can be located on the line.

Directed numbers are numbers with either a <u>negative</u> or <u>positive </u>sign, which shows their direction with respect to the <em>number line.</em>

In the given question, the <u>distance</u> between points D and E is <em>9 units</em>. So that <em>dividing</em> 9 units in the ratio of 5 to 6, we have;

\frac{5}{6} x 9   = \frac{45}{6}

          = \frac{15}{2}

Therefore, the <em>location</em> of point F, which <u>partitions</u> the directed line segment from d to E into a 5:6 ratio is    \frac{15}{2}. Thus the<em> answer</em> is <u>Fifteen-halves.</u>

For further clarifications on a number line, visit: brainly.com/question/23379455

#SPJ1

7 0
2 years ago
Which of the following inequalities matches the graph (1 point)
Lilit [14]

Answer:

D

Step-by-step explanation:

The correct inequality is not listed

7 0
3 years ago
lara has a tin of peanuts cashews and pecans she will pick a second nut without looking. how many outcomes are there for her two
KiRa [710]
Possible procedures:

1). peanut, peanut
2). peanut, cashew
3). peanut, pecan
4). cashew, peanut
5). cashew, cashew
6). cashew, pecan
7). pecan, peanut
8). pecan, cashew
9). pecan, pecan.

Nine (9) possible procedures.
But ...
(2) and (4) produce the same final result.
(3) and (7) produce the same final result.
(6) and (8) produce the same final result.

So there are only <em><u>six (6)</u></em> possible different outcomes.
6 0
3 years ago
Read 2 more answers
Franklin Porter purchased a waterbed for $4,500. He made a 20 percent down payment and financed the remainder. What amount did h
ira [324]
To find the amount that Franklin financed, you will calculate the amount he put down and subtract that from the original price because that is what he still owes.

0.2 x $4500 = $900
$4500 - $900 = $3600.

Porter financed $3600.

You also multiply 0.8 x $4500 because this represents the part out of 100% he still owes.  You will get the same answer this way.
3 0
2 years ago
Janice lives in Tennessee and pays a total of 7%
Sladkaya [172]

Answer:

$48.15 APEX

Step-by-step explanation:

6 0
2 years ago
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