Please help me do it on a paper. Ladder method for 5, 8 , 10

The three sides of a triangle are 4cm, 6cm and 8cm.

yarga [219]

Answer:

In bold below.

Step-by-step explanation:

(a) The largest angle is opposite the largest side.

So by the Cosine Rule:

8^2 = 4^2 + 6^2 - 2*4*6 cos x

cos x = (8^2 - 4^2 - 6^2) / (-2*4* 6)

= -0.25.

x = 104.48 degrees.

(b) Area of the triangle = 1/2 * 4 * 6 sin 104.48

= 11.62

= 3 √15.

(c) The shortest altitude will have the longest sides as the base.

Area = 1/2 * altitude * base

3√15 = 1/2 * 8 * a

a = 3√15 / 4 cm

= 0.75√15 cm.

6 0

3 years ago

Jeremy is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is even} and let B = {the sum of

Roman55 [17]

Answer:

A ∩ B = {12}

Step-by-step explanation:

What are the possible even outcomes?

Assuming the number cubes are 1-6,

our possible outcomes run from 2-12, but we are looking for even rolls, so A={2,4,6,8,10,12}.

How many of those are divisible by 3? B={12}.

We are looking for what is in common between these, so

A ∩ B= {12}

7 0

3 years ago

Instructions: Match each equations with correct type of event.

Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

P(A)P(B|A) - Dependent event
P(A)+P(B) - Mutually exclusive events
P(A and B)/P(A) - Conditional events
P(A) . P(B) - Independent Events
P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

$\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}$

Hence the correct match are -

$\mathrm{P(A)P(B|A)\rightarrow}$ Dependent event
$\mathrm{P(A)+P(B)}\rightarrow$ Mutually exclusive events
$\mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow}$ Conditional events
$\mathrm{P(A) . P(B)\rightarrow}$ Independent Events
$\mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow}$ not Mutually exclusive events.

Learn more about Probability of Events here -

brainly.com/question/79654680

#SPJ10

5 0

2 years ago

I WILL GIVE A BRANLIEST! What is the graph of the functions? y=2*2^x y=-2*5^x

tekilochka [14]

For this case what you should know is that both functions are of the potential type.
We have then that
y = 2 * 2 ^ x
This function grows exponentially upwards.
y = -2 * 5 ^ x
This function grows exponentially downwards.
Answer
See attached graphics.