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3 years ago

Whatsthe defenition of hypotenuse

Mathematics

1 answer:

marta [7]3 years ago

8 0

Hypotenuse is the longest side of a right triangle. It is equal to the sum of the squares on the other two sides.

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the number cubes the Fifth grade math classes use are packed into a box. when the box is full, it has 5 rows of 4 cubes with 6 l

densk [106]

4x5=20. 20x6=120. 120-20=100 b)100

8 0

2 years ago

Read 2 more answers

Use synthetic division to determine if x+2 is a factor of f(x)=5x2+13x+6

Karolina [17]

Answer:

x+2 is a factor of $f(x) = 5x^2 + 13x + 6$

Step-by-step explanation:

To check: If (x+2) is a a factor of the polynomial $f(x) = 5x^2 + 13x + 6$

We need to check if x = -2 is the FACTOR of the given polynomial.

⇒ To show: f (-2) = 0

Now

$f(-2) = 5(-2)^2 + 13(-2) + 6\\=5(4) -26 + 6\\= 20 + 6 - 26\\= 26 - 26 = 0\\\implies f(-2) = 0$

Since, f(-2) = 0

⇒ -2 is the ROOT of the Polynomial f(x).

⇒(x +2) is the factor of the given polynomial.

Hence, x+2 is a factor of $f(x) = 5x^2 + 13x + 6$

4 0

3 years ago

Write the complex number in polar form:

emmasim [6.3K]

9514 1404 393

Answer:

2√30 ∠-120°

Step-by-step explanation:

The modulus is ...

√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30

The argument is ...

arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle

The polar form of the number can be written as ...

(2√30)∠-120°

_____

<em>Additional comments</em>

Any of a number of other formats can be used, including ...

(2√30)cis(-120°)

(2√30; -120°)

(2√30; -2π/3)

2√30·e^(i4π/3)

Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).

At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)

6 0

3 years ago

PLZ HELP its Triangle Properties and where using the 45º-45º-90º Triangle Theorem and the 30º-60º-90º Triangle Theorem.

den301095 [7]

Answer:

The answer to your questions is below

Step-by-step explanation:

4.-

In a 45°-45°-90° triangle, the length of the legs are "x" and the length of the hypotenuse is x $\sqrt{2}$

Then, in this problem, the length of the leg is 7 then the length of the hypotenuse will be 7 $\sqrt{2}$

5.- In a 30°-60°-90° triangle, the length of the hypotenuse is 2x, the length of the longer leg is x $\sqrt{3}$ and the length of the shorter leg is x.

In this problem we have the length of the hypotenuse = 20 and find x.

2x = 20

x = 20/2

x = 10

longer leg = x $x\sqrt{3} = 10\sqrt{3}$

6.- nonzero

7.- hypotenuse = 20 cm

Find x

2x = 20

x = 20/2

x = 10

Shoter leg = x = 10 cm

4 0

3 years ago

Read 2 more answers

An equation that models the sequence 400, 200, 100, 50, ...

Serga [27]

For this, let's have:
n represent each number, the number after it is its place in sequence
/ means divide

n1 /2 = n2, etc.

3 0

2 years ago