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3 years ago

(photo) According to this diagram, what is cos 23°?

Mathematics

2 answers:

Burka [1]3 years ago

3 0

ANSWER

None of the above

EXPLANATION

Recall the mnemonic CAH, from trigonometric ratios.

CAH means the cosine ratio is the ratio of the length of the adjacent side to the length of the hypotenuse.

This implies that,

$\cos(23 \degree) = \frac{length \: of \: adjacent \: side}{length \: of \: the \: hypotenuse}$

The side adjacent to the 23° angle is 12 units and the hypotenuse is 13 units.

This implies that,

$\cos(23 \degree) = \frac{12}{13}$

None of the provided options is correct

Nesterboy [21]3 years ago

3 0

the correct answer is 12/13

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Which expressions are equivalent to 1.5?

3241004551 [841]

Answer:

B and C

Step-by-step explanation:

We can just solve each to find which expressions are equal to 1.5.

A) 0.15 × 100 = 15

B) 15.0 ÷ 10 = 1.5

C) 0.15 × 10 = 1.5

D) 0.15 ÷ 10 = 0.015

E) 1.5 ÷ 100 = 0.015

From our results, we see that B and C are the only answers that equal 1.5.

6 0

3 years ago

You are purchasing a house 12 years from now. the estimated purchase price is $171,600.00. you want to make a 20% down payment.

diamong [38]

Answer:
$238.33

Explanation:
Assume that the amount you need to save per month is x.

You will be saving monthly for 12 years. This means that the amount you will save after 12 years is:
amount saved after 12 years = 12 * 12 * x = 144x

Now, you need to save 20% of $171,600.00. We will first need to calculate this value.
20% of $171,600.00 = 0.2 * 171,600.00 = $34320

Now, to know your monthly savings, equate the total amount saved in 12 years with the amount that needs to be saved and solve for x as follows:
144x = 34320
x = 34320 / 144
x = 238.33

This means that, to meet your goal, you need to save $238.33 monthly for 12 years.

Hope this helps :)

8 0

3 years ago

Translate this sentence into an equation. 62 is the sum of 12 and Chrissy's age. Use the variable c to represent Chrissy's age.

Greeley [361]

62= 12+c

Which your answer is 50 cause if you take 62 and subtract it to 12 it's 50. So 50 + 12 = 62

5 0

4 years ago

Carlos and Mike work part time as salespeople for an electronics store. Carlos earns $7.25 per hour plus a $10 bonus. Mike earns

galina1969 [7]

Carlos and Mike earn same amount for 10 hours of part time work

Solution:

Let "x" be the number of hours worked by Carlos and mike

Given that,

Carlos earns $7.25 per hour plus a $10 bonus

Thus, total amount earned by Carlos for "x" hours is given by:

total earned = 7.25(number of hours) + $ 10

total earned = 7.25x + 10 ----- eqn 1

Mike earns $7.75 per hour plus a $5 bonus

Thus, total amount earned by Mike for "x" hours is given by:

total earned = 7.75(number of hours) + $ 5

total earned = 7.75x + 5 ------- eqn 2

To find number of hours, they earn same amount, equate eqn 1 and eqn 2

7.25x + 10 = 7.75x + 5

7.75x - 7.25x = 10 - 5

0.5x = 5

x = 10

Thus for 10 hours, they earn the same amount

3 0

3 years ago

)Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers througho

maria [59]

Answer:

Rate of change = (1350 - 750)/(2010 - 2000) = 600/10 = $60

Initial value = $750

Equation is y = 60x + 750; where y is the amount charged to customer and x is the number of years from 2000.

8 0

3 years ago