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3 years ago

Work out the value of x

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

A full circle is 360°.

x + 3x + 90° = 360°

4x = 360° - 90°

4x = 270°

4x/4 = 270°/4

x = 67.5°

Hope it helps! Make me brainliest if it’s correct.

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A coin is flipped five times. Find the number of possible sets of heads and tails that have at most 3 heads

Mumz [18]

Answer:

$Sets = 27$

Step-by-step explanation:

Given

$Coin = 1$

$Toss = 5$

Required

Number of outcomes with at most 3 heads

First, we list out the sample space of a toss of coin 5 times

$(HHHHH)$ , $(HHHHT)$ , $(HHHTT)$ , $(HHTTT)$ , $(HTTTT)$ , $(TTTTT)$ , $(TTTTH)$ , $(TTTHH)$ , $(TTHHH)$ , $(THHHH)$ , $(HTHTH)$ , $(THTHT)$ , $(HHTHH)$ , $(TTHTT)$ , $(HTTHT)$ , $(THHTH)$ , $(THHHT)$ , $(HTTTH)$ , $(THHTT)$ , $(HTTHH)$ , $(HHTTH)$ , $(TTHHT)$ , $(TTHTH)$ , $(HHTHT)$ , $(HTHTT)$ , $(THTHH)$ , $(THTTH)$ , $(HTHHT)$ , $(HTHTT)$ , $(THTHH)$ , $(HHHTH)$ , $(TTTHT)$

Next, we list out all outcomes with at most 3 heads

, , $(HHHTT)$ , $(HHTTT)$ , $(HTTTT)$ , $(TTTTT)$ , $(TTTTH)$ , $(TTTHH)$ , $(TTHHH)$ , , $(HTHTH)$ , $(THTHT)$ , , $(TTHTT)$ , $(HTTHT)$ , $(THHTH)$ , $(THHHT)$ , $(HTTTH)$ , $(THHTT)$ , $(HTTHH)$ , $(HHTTH)$ , $(TTHHT)$ , $(TTHTH)$ , $(HHTHT)$ , $(HTHTT)$ , $(THTHH)$ , $(THTTH)$ , $(HTHHT)$ , $(HTHTT)$ , $(THTHH)$ , $(TTTHT)$

So, the number of set is:

$Sets = 27$

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3 years ago

U 480 S d T b R. C P 1549 Q

Pachacha [2.7K]

Answer:

a = 26°

b = 48°

c = 26°

d = 106°

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3 years ago

Work out the value of x ​

Work out the value of x