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2 years ago

Which expression finds the measure of an angle that is coterminal with a 126° angle?

Mathematics

2 answers:

aksik [14]2 years ago

7 0

Answer:

126° + (720n)°, for any integer n or D on edge :)

Step-by-step explanation:

Because me big brain

Blababa [14]2 years ago

6 0

Answer:

Therefore the expression that finds the coterminal angles is:

$coterminal = 126\º \pm 360$

Step-by-step explanation:

Coterminal angles are angles that finish at the same line. Therefore in order to find the coterminal angles with 126º we need to add or subtract a angle of 360º. So the expressions are:

coterminal angle = 126º + 360º = 486º

coterminal angle = 126º - 360º = -234º

Therefore the expression that finds the coterminal angles is:

$coterminal = 126\º \pm 360$

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You have 64 coins, consisting of pennies, nickels, and quarters. The value of

Romashka-Z-Leto [24]

Answer:

There are 20 pennies, 33 nickels and 11 quarters

Step-by-step explanation:

- You have 64 coins, consisting of pennies, nickels, and quarters

- The value of the coins is $4.60

- Assume that there are p pennies, n nickles, and q quarters

∴ p + n + q = 64 ⇒ (1)

- Lets find the value of each types of coins

∵ 1 penny = 1 cent ⇒ p = p cents

∵ 1 nickel = 5 cents ⇒ n = 5n cents

∵ 1 quarter = 25 cents ⇒ q = 25q cents

∵ 1 dollar = 100 cents ⇒ $4.60 = 4.60 × 100 = 460 cents

∴ p + 5n + 25q = 460 ⇒ (2)

- You also know that you have three times as many nickels as quarters

∴ n = 3q ⇒ (3) ⇒ the number of nickles by quarters

∵ 5n = 5(3q)

∴ 5n = 15q ⇒ (4) ⇒ the values of nickles by quarters

- Substitute (3) in equation (1) and (4) in equation (2)

∴ p + 3q + q = 64

∴ p + 4q = 64 ⇒ (5)

∴ p + 15q + 25q = 460

∴ p + 40q = 460 ⇒ (6)

- Subtract equation (5) from equation(6) to eliminate p

∴ 36q = 396

- Divide both sides by 36

∴ q = 11

- Substitute the value of q in equation (5)

∴ p + 4(11) = 64

∴ p + 44 = 64

- Subtract 44 from both sides

∴ p = 20

- Substitute the value of q in (3)

∴ n = 3(11) = 33

∴ n = 33

<em>There are 20 pennies, 33 nickels and 11 quarters</em>

6 0

2 years ago

Read 2 more answers

For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, the participant totals (

KengaRu [80]

Repeated measures study is when participants of the first treatment are still the participants of the second treatment either to see the effects of the variable. Thank you for your question. Please don't hesitate to ask in Brainly your queries.

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2 years ago

The sales data for January and February of a frozen yogurt shop are approximately normal. The mean daily sales for January was $

VashaNatasha [74]

Answer:

January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.

Step-by-step explanation:

z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

January:

The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. This means, respectively, that $\mu = 300, \sigma = 20, X = 310$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{310 - 300}{20}$

$Z = 0.5$

February:

The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. This means, respectively, that $\mu = 320, \sigma = 50, X = 340$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{340 - 320}{50}$

$Z = 0.4$

January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.

3 0

2 years ago

One catcher's mitt and 10 outﬁelder's gloves cost $239.50. How much does each item cost if 1 catcher's mitt and 5 outﬁelder's gl

seraphim [82]

Make an equation for each statement with x being catcher's mitts and y being outfielder's gloves.

x + 10y = 239.50 and x + 5y = 134.50

Multiply the second equation through by -1 giving -x - 5y = -134.50

Combine the equations vertically

x + 10y = 239.50
-x - 5y = -134.50

giving

5y = 105
y = 21

Now substitute for y:
x + 10(21) = 239.50
x + 210 = 239.50
x = 29.50

Thus, Catchers mitts $29.50 and outfielder's gloves are $21

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2 years ago

29) Adam’s sister wants to watch her intake of fat per day. Here is a guideline of the recommended daily allowances. Typical val

ziro4ka [17]

Basically all the information in this problem is useless. They included all those numbers to confuse you. If you read throughly you can see that all you need to know is that Adam's sister can only have 70 grams of fat each day and that her dinner will have 48 grams of fat.

To figure this out I use this formula all the time to figure out percentages.
is/of=x/100
Your trying to figure out what is 48 percent of 70 because that's how much Adam's sister is going to eat at dinner. So your is would be 48 and your of is 70. When you substitute those numbers your formula becomes 48/70=x/100. Now you cross multiply and get 70x=4800.All that's left is to divide 70 on both sides. Which gives you 68.57.The final answer is 69 percent.

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2 years ago