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Kay [80]
3 years ago
12

Р

Mathematics
1 answer:
saw5 [17]3 years ago
6 0

Answer:

m<R ≈ 22.62°

Step-by-step explanation:

Reference angle = R

Side opposite to R = 5 cm

Adjacent side length = 12 cm

Thus, applying TOA, we have:

Tan R = opp/adj

Tan R = 5/12

R = tan^{-1}(5/12)

R ≈ 22.62° (nearest hundredth)

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To make fruit punch for a party, we need 4 1⁄2 gallons of ginger ale, 1 gallon of strawberry juice, 2 3⁄4 gallons of frozen oran
lina2011 [118]

For this case we convert the mixed numbers to fractions:

4 \frac {1} {2} = \frac {2 * 4 + 1} {2} = \frac {9} {2}\\2 \frac {3} {4} = \frac {4 * 2 + 3} {4} = \frac {11} {4}

Now we add the fractions:

\frac{9} {2}+1+ \frac {11} {4} + \frac {1} {8} =

We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.

\frac {36 + 8 + 22 + 1} {8} =\\\frac {67} {8} =

8,375

Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:

8 \frac {3} {8} gallons

Answer:

8 \frac {3} {8}gallons

4 0
3 years ago
Choose the correct translation for the given statement.
Xelga [282]
Answer:

x > 10

Step-by-step explanation:

It must exceed ten.

Exceed: be greater

Solution: x > 10
8 0
3 years ago
Read 2 more answers
Mathew deposits 400800.00 kina with the bank which offers 5½% interest per annum. calculate the interest earned after four years
Sati [7]

Solution

For this case we can use the following formula:

A=P(1+\frac{r}{n})^{nt}

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P= 400800 = present value

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n= 4, number of times that the interest is compund in a year (quarterly)

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then the interest would be:

I=A-P=498679.58-400800=97879.58

4 0
1 year ago
The model shows the expression 21 + 9. A model with 3 rows of 7 squares and 3 rows of 3 squares. Which expression is equivalent
DaniilM [7]

Answer: the answer is 3(7+3)

Step-by-step explanation: since 7+3 is in paranthases you add them first to get 10 and you multiply it by the 3 to get 30. We know its correct because 21+9=30.

7 0
3 years ago
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Mary is the manager of a new clothing shop. The shop located in a new shopping mall and Mary wants to estimate the average daily
sergeinik [125]

<u>Explanation:</u>

a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.

The implication of Type I error in this case is that Mary <u>rejects</u> that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.

b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary <u>accepts</u> that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.

c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.

5 0
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