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agasfer [191]
3 years ago
10

What’s the quotient of 2 1/4 and 5/8

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

Answer:

The correct result would be 3 3/5.

Step-by-step explanation:

If you would like to find the quotient of 2 1/4 and 5/8, you can calculate this using the following steps:

2 1/4 = 9/4

2 1/4 / 5/8 = 9/4 / 5/8 = 9/4 * 8/5 = 18/5 = 3 3/5

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How can csc^2-cot^2 = 1?
Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

\csc^{2} (x) -  \cot^{2} (x) = 1

Take the left hand side and simplify to get the right hand side.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1}{\sin^{2} (x)}  - \frac{ \cos^{2} (x)}{\sin^{2} (x)}

Collect LCM for the denominators.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1 -  \cos^{2} (x)}{\sin^{2} (x)}

Recall the Pythagorean Identity.

\cos^{2} (x) +  \sin^{2} (x) = 1

This implies that:

1 -  \cos^{2} (x) =  \sin^{2} (x)

We substitute this to get,

\csc^{2} (x) -  \cot^{2} (x) =  \frac{\sin^{2} (x)}{\sin^{2} (x)}

\csc^{2} (x) -  \cot^{2} (x) = 1

6 0
3 years ago
Javier is considering two lawn care services. Premier Landscaping charges $15.00 for travel to the job site and $55.00 per hour
Wittaler [7]

Answer:

Time in which both companies charge same cost = 1.5 hour

Step-by-step explanation:

Given:

                                                        Fixed    Variable

Premier Landscaping charges          $15        $55

Ace Landscaping charges                               $65

Find:

Time in which both companies charge same cost:

Computation:

Assume in X time both companies charge same cost:

So,

Premier Landscaping total cost = Ace Landscaping total cost

⇒ $15 + $55(Time taken) = $65 (Time taken)

⇒ $15 = $65 (Time taken) - $55(Time taken)

⇒ $15 = $10 (Time taken)

⇒ Time taken = 1.5 hour

Time in which both companies charge same cost = 1.5 hour

6 0
3 years ago
Please help me find the value of each variable in the parallelogram
seropon [69]

Answer:

K=10 H=65

Step-by-step explanation:

To work out K, you need to know that opposite angles are the same, so 5k is the same as 50, 50÷5= 10, so k=10

To work out H, you know that opposite angles are the same so 2h is the same as 130, 130÷2=65 so h=65

4 0
3 years ago
Graph the line with slope 1/5 and y-intercept-2
Arturiano [62]
You want to start at -2 on the y line wich is the vertical line then 1/5 is rise over run so you rise (go up) one and run ( go right)5
8 0
2 years ago
A survey of 25 grocery stores revealed that the mean price of a gallon of milk was $2.98, with a standard error of $0.10. What i
Gnesinka [82]

Answer:

95% confidence interval: (2.784,3.176)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 25

Sample mean = $2.98

Standard error = $0.10

Alpha = 0.05

95% confidence interval:

\mu \pm z_{critical}(\text{Standard error})

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

2.98 \pm 1.96(0.10) = 2.98 \pm 0.196 = (2.784,3.176)

5 0
3 years ago
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