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3 years ago

Ismail tried to prove that sin(θ) = cos(90°− θ) using the following diagram. His proof is not correct.

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Answer:

C. Ismail used the wrong sides in his ratio for cos (90 - θ)

Step-by-step explanation:

All steps correct apart from:

cos (90° - θ) = AC/BC

It should be

cos (90° - θ) = AB/BC

Correct choice is C

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gregori [183]

Answer:

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Step-by-step explanation:

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3 years ago

Find the 8th term of the geometric sequence 10, -40, 160, ..

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3 years ago

Connor took out a 4 year loan to buy a car at a 4% simple interest rate. if he has to pay $240 in interest, how much principal d

uysha [10]

Answer:

The principal borrow for loan is $1,500 .

Step-by-step explanation:

Given as :

The interest paid on simple interest = s.i = $240

The rate of simple interest applied = r = 4%

The time period for loan = t = 4 years

Let The principal borrow = $p

Now, from Simple Interest method

Simple Interest = $\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}$

Or. s.i = $\dfrac{\textrm p\times \textrm r\times \textrm t}{100}$

Or, $240 = $\dfrac{\textrm p\times \textrm 4\times \textrm 4}{100}$

Or, $240 × 100 = 16 × p

Or, $24000 = 16 × p

∴ p = $\dfrac{24000}{16}$

i.e p = $1,500

So, The principal borrow for loan = p = $1,500

Hence, The principal borrow for loan is $1,500 . Answer

3 0

3 years ago

Which lines are perpendicular to the line y - 1 = 1/3 (x+2)? Check all that apply.

ioda

Answer: Options 1, 3, 5

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so since the slope of the given line is 1/3, we need to find lines with a slope of -3.

Option 1 has a slope of -3.
Option 2 has a slope of 3.
Option 3 has a slope of -3.
Option 4 has a slope of 1/3.
If we subtract 3x from both sides, we get y=-3x+7, so option 5 has a slope of -3.

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2 years ago

Which choices are equivalent to the fraction below? check all that apply 16/36

kenny6666 [7]

Answer:

$\frac{16}{36} = \frac{8}{18} = \frac{4}{9}$

Step-by-step explanation:

$\frac{16}{36} = \frac{16/4.5}{36/4.5} = \frac{3.5555}{8} \neq \frac{3}{8} \\\\\frac{16}{36} = \frac{16/12}{36/12} = \frac{1.3333}{3} \neq \frac{1}{3} \\\\\frac{16}{36} = \frac{16/9}{36/9} = \frac{1.7777}{4} \neq \frac{1}{4} \\\\\frac{16}{36} = \frac{16/4}{36/4} = \frac{4}{9} \\\\\frac{16}{36} = \frac{16/7.2}{36/7.2} = \frac{2,2222}{5} \neq \frac{2}{5} \\\\\frac{16}{36} = \frac{16/2}{36/2} = \frac{8}{18} \\\\$

3 0

3 years ago