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3 years ago

Find the value of x within the triangle

Mathematics

1 answer:

Allushta [10]3 years ago

4 0

Answer:

68.46

Step-by-step explanation:

In order to find the angle, we can use the cosine rule:

c²=a²+b²-2abCos(c)

And rearrange for Cos(c)

(please note that c in this case is x)

So,

x=Cos^(-1) (a²+b²-c²)/2ab

By substituting the values, we get x=Cos^(-1)(4²+4²-4.5^2)/2(4)(4)

=68.46

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A bag contain 5 red marbles,4 green marbles and 1 blue marble. A marble is chosen at random from the bag and not replaced; then

jarptica [38.1K]

Answer:

$\frac{2}{15}$

Step-by-step explanation:

GIVEN: A bag contain $5$ red marbles, $4$ green marbles and $1$ blue marble. A marble is chosen at random from the bag and not replaced, then a second marble is chose.

TO FIND: What is the probability both marbles are green.

SOLUTION:

Total marbles in bag $=10$

total number of green marbles $=4$

Probability that first marble will be green $P(A)=\frac{\text{total green marbles}}{\text{total marbles}}$

$=\frac{4}{10}=\frac{2}{5}$

Probability that second marble will be green $P(B)=\frac{\text{total green marble in bag}}{\text{total marble in bag}}$

$\frac{3}{9}=\frac{1}{3}$

As both events are disjoint

probability both marbles are green $=P(A)\times P(B)$

$=\frac{2}{5}\times\frac{1}{3}=\frac{2}{15}$

Hence the probability both marbles are green is $\frac{2}{15}$

8 0

3 years ago

Can someone help me with this please

Annette [7]

Answer:

The answer to your question is A.

6 0

3 years ago

Find the diameter of a cirele with a circumference, c, of 27cm. HELP WILL GIVE BRAINLIST IF CORRECT ANSWER

Verdich [7]

Answer:

Step-by-step explanation:

The circumfirance is the diameter times 2

5 0

2 years ago

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(1,4) and

andrew-mc [135]

Answer:

Step-by-step explanation:

A(1, 4)

B(4, 1)

$m_{AB}$ = $\frac{1-4}{4-1}$ = - 1

y - 1 = - 1 ( x - 4 )

<em>y = - x + 5</em>

6 0

3 years ago

The volume of water remaining in a hot tub when it is being drained satisfies the differential equation dV/dt = −3(V)^1/2 , wher

dimaraw [331]

The given function is a variable separable differential equation. Combine like terms, integrate, apply the appropriate limits, and express V in terms of t. This is done as follows:

dV/dt = -3(V)^1/2
dV/-3V^1/2 = dt
$\int\limits^V_m { \frac{1}{03 \sqrt{V} } } \, dV = \int\limits^t_0 {} \, dt$

m here is the initial V which is 225. Then after integrating,

-2/3 (√V - √225) = t
-2/3 (√V - 15) = t

$V= \sqrt{ \frac{-3}{2}t+15 }$

That is the expression for V at time t. I hope I was able to help. Have a good day.

5 0

3 years ago