2 years ago

Find w + y in the following figure.

Mathematics

1 answer:

9966 [12]2 years ago

5 0

Answer:

x=180-120=60

y=180-80=100

w=360-120-80-60=100

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What is sin45°*sin30°*cos60°

NNADVOKAT [17]

Answer:

$\frac{\sqrt{2} }{8}$

Step-by-step explanation:

Using the exact values of the given trig functions, then

sin45° × sin30° × cos60°

= $\frac{\sqrt{2} }{2}$ × $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{\sqrt{2} }{8}$

6 0

2 years ago

Exit A five-sided solid has the numbers 1, 2, 3, 4, and 5. What is the probability of rolling two five-sided number solids and g

STALIN [3.7K]

To get a sum of 3, you must roll a 1 and a 2. To get a sum of 8, you must roll a 5 and 3, or two 4's.
There are two ways of rolling a 1 and a 2, two ways of rolling a 5 and a 3, and one way to roll two 4's.
There are $5^2=25$ possible outcomes when rolling two such solids.

So the probability of getting a sum of 3 or 8 is $\dfrac{2+2+1}{25}=\dfrac15$

7 0

3 years ago

The height of a cone is equal to the diameter of the base. What expression represents the volume of the cone, in cubic units?

Maurinko [17]

By definition, the volume of a cone is given by:
$V = (1/3) * (\pi) * (r ^ 2) * (h)
$
Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:
$r = x / 2
$
The height is:
$h = x
$
Substituting values:
$V = (1/3) * (\pi) * ((x / 2) ^ 2) * (x)
$
Rewriting:
$V = (1/3) * (\pi) * (x ^ 2/4) * (x)

V = (1/12) * (\pi) * (x ^ 3)$
Answer:
An expression that represents the volume of the cone, in cubic units is:
$V = (1/12) * (\pi) * (x ^ 3)$