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hodyreva [135]
3 years ago
9

If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypote

nuse?
A. 3√5 centimeters
B. 5√3 centimeters
C. 9 centimeters
D. √5 centimeters
Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
6 0
The answer is A. USE PYTHAGOREAN THEOREM 3^2+6^2=c^2 9+36=c^2 45=c^2 c=3 sqrt5
Salsk061 [2.6K]3 years ago
4 0

Answer:

The correct option is A. 3\sqrt{5}centimeters.

Step-by-step explanation:

Consider the provided information.

It is given that the leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters.

Use Pythagorean theorem:

(a)^2+(b)^2=(c)^2

Where <em>c</em> is hypotenuse, <em>a</em> is leg and <em>b</em> is other leg.

Now substitute the values of leg in the above formula as shown:

(3)^2+(6)^2=(c)^2

9+36=(c)^2

45=(c)^2

\sqrt{45}=c

3\sqrt{5}=c

Hence, the correct option is A. 3\sqrt{5}centimeters.

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Drag each tile to the correct box.
rodikova [14]

Answer: C < B < A

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

First, let's evaluate the growth rate of A from [1, 3]

f(x) = 200\bigg(\dfrac{3}{2}\bigg)^1

    = 300

coordinate is (1, 300)

f(x) = 200\bigg(\dfrac{3}{2}\bigg)^3

    = 675

coordinate is (3, 675)

Average growth rate (AGR) is: \dfrac{675-300}{3-1} = \dfrac{375}{2} = 187.5

AGR (A) = 187.5

*************************************************************************************

Next, let's evaluate the growth rate of B from [1, 3]

The coordinates are already provided as (1, 120) and (3, 480)

Average growth rate (AGR) is: \dfrac{480-120}{3-1} = \dfrac{360}{2} = 180

AGR (B) = 180

*************************************************************************************

Lastly, let's evaluate the growth rate of C from [1, 3]

f(x) = 600(1.2)ˣ

f(x) = 600(1.2)¹

     = 720

coordinate is (1, 720)

f(x) = 600(1.2)³

     = 1036.8

coordinate is (3, 1036.8)

Average growth rate (AGR) is: \dfrac{1036.8-720}{3-1} = \dfrac{316.8}{2} = 158.4

AGR (C) = 158.4

8 0
3 years ago
Joe and Linda have the opportunity to purchase a new home. The house in Glen Oaks is currently worth $250,000 but is predicted t
Dmitry [639]

You can work out the percentage change and that would help you work out the rate of appreciation :)

The formula is ((new value - old value)/old value) * 100.

So you do \frac{270,000 - 250,000}{250,000} \times 100 = 8\%

Therefore the rate of appreciation is 8% p/a.

7 0
3 years ago
Find m/EGD. (measurement in degrees)
Wewaii [24]

Answer:

\huge\boxed{\bf\:30^{\circ}}

Step-by-step explanation:

We need to find m ∠EGD.

From the given figure, we can see that, ∠BGA & ∠EGD are vertically opposite angles (opposite angles that share the same vertex ⟶ G).

Also, vertically opposite angles are equal to each other.

Given,  ∠BGA = 30°

So,  ∠EGD =  ∠BGA = 30°.

\rule{150pt}{2pt}

6 0
2 years ago
Read 2 more answers
Use the graph that shows the solution to
Luda [366]

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

f(x) = \dfrac{1 + 2\cdot x}{x}

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

\dfrac{1 + 2\cdot x}{x} = 2 + x

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

6 0
3 years ago
&amp;
Nady [450]

Answer:

the answer is B and C

Step-by-step explanation:

9x4=36

6x6=36

6 0
3 years ago
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