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2 years ago

Please help me with this math problem!!!!!

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

3 0

Answer:

Step-by-step explanation:

$\cos ~A=0.5=cos~60 \\A=60^\circ\\B=180-A=180-60=120\\\angle~B=120^\circ$

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What transformation takes the graph of g(x) = x2 – 5 to the graph of<br> h (x) = x² – 1

Over [174]

Answer:

We need the following translation: $h(x) = g(x) +4$

Step-by-step explanation:

To transform $g(x)$ into $h(x)$ , we need must apply the following translation:

$h(x) = g(x) +4$ (1)

If we know that $g(x) = x^{2} -5$ , then the expression of $h(x)$ is:

$h(x) = x^{2}-5 +4$

$h(x) = x^{2}-1$ (2)

Which demonstrates the affirmation.

3 0

2 years ago

If you pick a card at random from a well shuffled deck, what is the probability that you get a spade or a king

Goryan [66]

The probability of getting a spade is 1/4, and the probability of getting a king is 1/13. Thus, the probability of getting a spade or a king is $\frac{1}{4} + \frac{1}{13} = \boxed{\frac{17}{52}}$ .

7 0

2 years ago

Read 2 more answers

Apollo Spas services 156 hot tubs. If each hot tub needs 105 mL of muriatic acid, how many liters of acid are needed for all of

True [87]

Answer:

16380 mL or 16.380 L

Step-by-step explanation:

1 hot tub requires 105 mL of Acid

156 hot tubs requires 105 * 156 mL of acid = 16380 mL of acid are needed.

16380 / 1000 mL/L = 16.380 Liters.

5 0

2 years ago

Donna has ridden 28 miles of a bike course. The course is 35 miles long. What percentage of the course has Donna ridden so far?

ZanzabumX [31]

Answer:

Use a calculator to divide the two values (small over big) to get 14/35 = 0.4

Now multiply that result by 100 to convert to a percentage

0.4*100 = 40%

he has ridden 40% of the course so

7 0

2 years ago

The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The

zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x f(x)

0-3 13

4-7 13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x f(x)

1.5 13

5.5 13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

$\bar x = \frac{\sum fx}{\sum f}$

This gives

$\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}$

Evaluate

$\bar x = 7.98$

The standard deviation is then calculated as:

$\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}$

So, we have:

$\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13 * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}$