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professor190 [17]
2 years ago
5

Find the length of the third side. If necessary, round to the nearest tenth. 12

Mathematics
2 answers:
SVEN [57.7K]2 years ago
4 0
<h3>Answer:   15</h3>

=========================================================

Work Shown:

a = 9, b = 12 are the two legs of the right triangle

c = unknown is the hypotenuse

Apply the pythagorean theorem to find c

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

c^2 = 225

c = sqrt(225)

c = 15

Leni [432]2 years ago
3 0

Answer:

15

Step-by-step explanation:

Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.

pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.

12²+9²=225

Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.

√225 = 15

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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 16 yr to 20 yr
Ugo [173]
4/5

just take 16/20 and divde both be 4
5 0
3 years ago
I need help with both please no links!
nlexa [21]

Answer:

The first one- 24, The second one-B

Step-by-step explanation:

The first one-Top corner=110, 110+46=156, 180-156=24

The other one-I have no clue how to explain it

4 0
2 years ago
Please help! A-level maths.
astra-53 [7]

x+y=k\implies y=k-x

Substitute this into the parabolic equation,

k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0

We're told the line x+y=k intersects C twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

(-7)^2-4(k+3)=49-4(k+3)>0\implies k

We can tell from the quadratic equation that C has its vertex at the point (3, 6). Also, note that

-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5

and

-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6

so the furthest to the right that C extends is the point (5, 2). The line x+y=k passes through this point for 2+5=k\implies k=7. For any value of k, the line x+y=k passes through C either only once, or not at all.

So 7\le k; in set notation,

\{k\mid 7\le k

4 0
3 years ago
A horse ran 800 m and 40 seconds 1200 meters in 60 seconds and 480 m in 24 seconds is a proportional relationship if so what is
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Speed = distance travelled/time

A horse ran 800 m in 40 seconds. This means that the speed is

800/40 = 20 m/s

The horse ran 1200 m in 60 seconds. This means that the speed is

1200/60 = 20 m/s

The horse ran 1200 m in 60 seconds. This means that the speed is

480/24 = 20 m/s

Since the horse's rate or speed is the same at each scenario, it means that the relationship between the distance covered by the horse and the time taken is proportional.

Let k represent the constant of proportionality. The constant of proportionality is 20. It represents speed of the horse.

Let d represent the distance in meters.

Let t represent the time in seconds.

Therefore

d = 20t

7 0
3 years ago
URGENT!
Elan Coil [88]

Answer:

The answer to your question is:  9.01 x 10⁸ ice cream cones

Step-by-step explanation:

Data

# of ice cream cones = 1700

5.3 x 10 ⁵ minutes ---------- 1 year

# of ice cream cones purchased in one year = ?

                              1700  cones ---------------------  1 min

                                 x                ----------------------  5.3 x 10 ⁵ minutes

             x = (5.3 x 10 ⁵)(1700)/1 = 901 000 000 ice cream cones

In scientific notation

                                   9.01 x 10⁸ ice cream cones

7 0
3 years ago
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