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3 years ago

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Mathematics

1 answer:

Simora [160]3 years ago

6 0

Answer : 32
( angles of a triangle add up to 180)

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Evaluate tan 30° without using a calculator by using ratios in a reference triangle.

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Answer: Root 3 / 3

Step-by-step explanation: Use unit circle trigonometry.

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What is the answer to the problem 6x+1+7x

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Mmm should be 13x+1

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Which expressions are equivalent to 2 (a + 3b)?

VARVARA [1.3K]

Answer:

A & B

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3 years ago

Theresa is 14 years younger than her brother Jonathan. Together, their total age in years is 35. A) How many years old is Theres

ikadub [295]

A) The age of Theresa is 10 years 6 months old

B) Jonathan age is 24 years and 6 months old

Solution:

Given, Theresa is 14 years younger than her brother Jonathan.

Let the age of Theresa be "n" years

Then the age of Jonathan will be "n + 14" years

Together, their total age in years is 35

A) Finding age of Theresa:

Jonathan age + Theresa age = 35

n + 14 + n = 35

2n + 14 = 35

2n = 35 - 14

2n = 21

n = 10.5

So, age of Theresa is 10 years 6 months

B) Finding age of Jonathan

Now, we know that n = 10.5

Then Jonathan age = n + 14 = 10.5 + 14 = 24.5 years

So, Jonathan is 24 years and 6 months old

4 0

3 years ago

A coin is tossed 600times with the frequencies as:

brilliants [131]

Answer:

see below

Step-by-step explanation:

Total number of trials =600.

Number of heads = 342.

Number of tails = 258

On tossing a coin,

$let \: E_1 \: and \: E_2 \: be \: the \: events \: of \: getting \: a \: head$

and of getting a tail respectively.

then,

$1) \: P \: (getting \: a \: head) = \: P \: (E_1)$

$\longrightarrow \: \frac{number \: of \: heads \: coming \: up}{total \: number \: of \: trials}$

$\longrightarrow \: \frac{342}{600} = \frac{57}{100}$

$\longrightarrow \: 0.57$

$\red{ \rule{150pt}{3pt}} \:$

$2) P (getting \: a\: tail) =P (E_2)$

$\longrightarrow \: \frac{number \: of \: tails \: coming \: up}{total \: number \: of \: trials}$

$\longrightarrow \: \frac{258}{600} = \frac{43}{100}$

$\longrightarrow \: 0.43$

6 0

3 years ago