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4 years ago

What is the area of the triangle?

Mathematics

1 answer:

AveGali [126]4 years ago

7 0

Answer:

Area = 4.5

Step-by-step explanation:

Area of a right angled triangle = 1/2 base * height

where base = 3 and height = 3

Area = $\frac{1}{2}$ *3 *3 = 9/2 =

Area =4.5

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Which expression has a value of StartFraction 1 Over 36 EndFraction? (StartFraction 1 Over 108 EndFraction) cubed (StartFraction

IrinaVladis [17]

Answer:

(1/6)^2

Step-by-step explanation:

We want to find the fraction that is equivalent to 1/36.

Let us look at each of them individually:

a. $(\frac{1}{108})^3 = \frac{1}{1259712}$

b. $(\frac{1}{9})^4 = \frac{1}{6561}$

c. $(\frac{1}{6})^2 = \frac{1}{36}$

d. $(\frac{1}{5})^2 = \frac{1}{25}$

Therefore, the correct answer is c.

4 0

3 years ago

Read 2 more answers

421.2 - 305.8 Using mental math

Nitella [24]

Answer:

114.4

Step-by-step explanation:

421.2

-305.2

114.4

8 0

3 years ago

The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?

Fofino [41]

Answer:

The shorter leg is $2\sqrt{3}$ inches

Explanation:

The 30°-60°-90° is a special type of right-angled triangles

It has the following special side length:

The length of the side opposite to the 30° is $\frac{1}{2}$ the length of the hypotenuse

The length of the side opposite to the 60° is $\frac{\sqrt{3} }{2}$ of the hypotenuse

Now, we know that the lengths of the sides in a triangle are proportional to the angles

This means that the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is $4\sqrt{3}$ in

From the above:

Shorter leg = leg opposite to 30° = $\frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2}$ inches

Hope this helps :)

5 0

3 years ago

You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads

tino4ka555 [31]

P(2 or H) = P(2) + P(H) - P(2 and H)

What is the probability of getting a 2 P(2)? = 1/6

What is the probability of getting heads P(H)? = 1/2

P(2 and H) is the product of those two events since the events are independent. = 1/6 * 1/2 = 1/12

P(2 or H) = P(2) + P(H) - P(2 and H)

P(2 or H) = 1/6 + 1/2 - 1/12 = 7/12

5 0

3 years ago

Solve the following system: y=1 y=-6x-5

Mandarinka [93]

Answer:

x = -1

y = 1

Step-by-step explanation:

Since it gives you "y", plug in the number given into the equation:

y = -6x - 5

1 = -6x - 5

Then, add 5 to both sides:

1 = -6x - 5

+5 + 5

________

6 = -6x

Divide both sides by -6:

6 = -6x

-1 = x

So now you have, x = -1 and y = 1

4 0

4 years ago

Read 2 more answers