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FrozenT [24]
3 years ago
10

If u go to sleep at 9:30 p.m. and wake up at 6:30a.m. The next morning how long did u sleep

Mathematics
2 answers:
puteri [66]3 years ago
8 0
Well first do this
12.00 - 9.30 = 2.30
2.30 + 6.30 = 9
You slept 9hrs
zmey [24]3 years ago
8 0

Answer:

9 hours

Step-by-step explanation:

12.00 - 9.30 = 2.30

2.30 + 6.30 = 9

You slept for 9hrs, so u got a lot of sleep

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A line segment BK is an angle bisector of ΔABC. A line KM intersects side BC such, that BM = MK. Prove: KM ∥ AB.
weqwewe [10]

Answer:

∠BKM= ∠ABK

Therefore AB ║KM (∵ ∠BKM= ∠ABK  and lies between AB and KM and BK is the transversal line)

m∠MBK ≅ m∠BKM (Angles opposite to equal side of ΔBMK are equal)

Step-by-step explanation:

Given: BK is an angle bisector of Δ ABC. and line KM intersect BC such that, BM = MK

TO prove: KM ║AB

Now, As given in figure 1,

In Δ ABC, ∠ABK = ∠KBC (∵ BK is angle bisector)

Now in Δ BMK, ∠MBK = ∠BKM (∵ BM = MK and angles opposite to equal sides of a triangle are equal.)

Now ∵ ∠MBK = ∠BKM

and  ∠ABK = ∠KBM

∴ ∠BKM= ∠ABK

Therefore AB ║KM (∵ ∠BKM= ∠ABK and BK is the transversal line)

Hence proved.  

8 0
4 years ago
Read 2 more answers
A 15 ft ladder leans against the side of a house. The top of the ladder is 13 ft off the ground. Find x, the angle of elevation
shutvik [7]

Answer:

x= 60.1 degrees

Step-by-step explanation:

The triangle forms a right angle triangle

Opposite side of angle x = 13 ft

Hypotenuse of the triangle = 15

We know the opposite side and the hypotenuse

So we use trigonometric formula sin(x)

sin(x) = \frac{opposite}{hypotenuse}

sin(x) = \frac{13}{15}

When we move 'sin' to the other side it becomes 'sin^-1'

x=sin^{-1}(\frac{13}{15})

x = 60.073565


5 0
3 years ago
A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes a) are there in total?
attashe74 [19]

Answer:

There are 256 ways in total.

There are 56 possible outcomes contain exactly three heads.

The possible outcomes contain at least three heads is 219.

The possible outcomes contain the same number of heads and tails are 70.

Step-by-step explanation:

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are:

2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^8=256

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination: \binom{n}{r}=\frac{n!}{r!(n-r)!}

\binom{8}{3}=\frac{8!}{3!(5)!}=56

Hence, there are 56 possible outcomes contain exactly three heads.

Part (c) contain at least three heads?

For 3 heads: \binom{8}{3}=\frac{8!}{3!(5)!}=56

For 4 heads: \binom{8}{4}=\frac{8!}{4!(4)!}=70

For 5 heads: \binom{8}{5}=\frac{8!}{5!(3)!}=56

For 6 heads: \binom{8}{6}=\frac{8!}{6!(2)!}=28

For 7 heads: \binom{8}{7}=\frac{8!}{7!(1)!}=8

For 8 heads: \binom{8}{8}=1

Now add them as shown:

56+70+56+28+8+1=219

Hence, the possible outcomes contain at least three heads is 219.

Part (d) contain the same number of heads and tails?

Same number of heads and tails means that the value of r=4.

Therefore,

\binom{8}{4}=\frac{8!}{4!(4)!}=70

Hence, the possible outcomes contain the same number of heads and tails are 70.

6 0
3 years ago
What is the value of |−44|?
julsineya [31]
Hey there!

Here is your answer:

The proper answer to this question is "44" .

Reason:

Think of it like this:

| | <---- This represents a car wash

When you add a positive or negative number in between the lines it represents a car going through the car wash.

So if...

|-44| (goes through the car wash)=44
|44| (goes through the care wash)=44

Therefore it would equal 44.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
6 0
3 years ago
Read 2 more answers
A gumball machine contains 23 green gumballs, 52 red gumballs, 34 blue gumballs, 61 yellow gumballs, and 30 pink gumballs.
insens350 [35]
23+52+34+61+30=200. Your answer of total gumballs is 200. At least I hope you meant to ask that. :)
8 0
3 years ago
Read 2 more answers
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