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Natalija [7]
3 years ago
12

10. Are the points A (3, 5), B (0, 2), and C (-2.10) the vertices of a right triangle? Justify your

Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

yes

Step-by-step explanation:

line ab^2=(3-0)^2+(5-2)^2=9+9=18

line bc^2=((0-(-2))^2+(2-10)^2=4+64=68

line ca^2=((-2)-3)^2+(10-5)^2=25+25=50

bc>CA>ab

if it's a right triangle, then bc^2=ab^2+ca^2

68=50+18

so, it's a right triangle

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Choose the fractions that are greater than 1/2.
Gennadij [26K]
5/8
6/3
7/10
These are all the answers 4/8 is 1/2 and 5/8 is over it there is no half of 3 but 6/3 is 2 and 2 is a whole number it's over 1/2
5/10=1/2 and 7/10 is over it 1/4 isn't an answer because 2/4=1/2 6/12=1/2 but it says over 1/2 and finally 5/12 isn't it because like I said above 6/12 is 1/2
3 0
3 years ago
What is the value of y?​
prohojiy [21]

Answer:

it is 108 because 180-72

8 0
2 years ago
A car dealership pays you 4% commission on your first $8,000 in car sales and 8% commission on additional sales over the $8,000.
Zigmanuir [339]

Answer:

Total Commission = $400


Step-by-step explanation:

Since total is $9000 (in sales) -- commision is 4% on the first $8000 and 8% in the additional part over $8000 (9000-8000=1000). So 8% on $1000.


<u>Total commission</u> = 4% of 8000 + 8% of 1000

= (0.04)(8000) + (0.08)(1000)

= 400


Total Commission is $400

7 0
3 years ago
Read 2 more answers
Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \frac{4.4}{2}

= 1.1 (%)

Time will be:

= 20\times 2

= 40 \ periods

As we know the formula,

⇒ Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}

By substituting the values, we get

                   8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}

                   8375=\frac{Face \ value}{(1.022)^{40}}

                   8375=\frac{Face \ value}{2.3880083}

The face value will be:

        Face \ value = 2.3880083\times 8375

                           =20,000 ($)

Learn more about face value here:

brainly.com/question/14862802

5 0
3 years ago
What kind of triangle has three angles of measure 83 degrees, 31 degrees and 66 degrees?
andreyandreev [35.5K]

Hi!

An obtuse angle is one greater than 90 degrees, a right angle one that is 90, and acute less than 90.

An obtuse triangle is one with one obtuse angle, all the rest being acute. A right triangle is one with one right angle, all the rest acute. And finally, an acute triangle is one with three acute angles.

In this case, the angles measure 83 degrees, 31 degrees, and 66 degrees. All of them are acute angles, as they're all less than 90 degrees.

Therefore, the triangle is an acute triangle.

Hope this helped!

5 0
3 years ago
Read 2 more answers
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