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2 years ago

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Dorothy and Zeyad are practicing for a geometry test. Dorothy randomnly picks an angle listed on the figure below, and Zeyad cal

culates its measurement. Which of thesr are possible correct angle measurements? Select all that apply.
A. 28
B. 90
C. 118
D. 152
E. 180

1 answer:

daser333 [38]2 years ago

3 0

Answer: 118 , 180

Step-by-step explanation:

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Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.

Tom [10]

Answer:

$0.77

Step-by-step explanation:

To find how much each bottle of juice costs, divide 2.31 by 3:

2.31/3

= 0.77

So, each bottle of juice is $0.77

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2 years ago

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Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed,

seropon [69]

Answer and Step-by-step explanation:

Data provided in the question

Mean = 1.1 hours per call =

R = Mean rate = 1.6 per eight hour day

$\mu$ = $\frac{8}{1.6}$ = 5 per day

Based on the above information

a. The average number of customers is

$= \frac{R^2}{\mu(\mu- R)}$

$= \frac{1.6^2}{5(5- 1.6)}$

= 151

b. The system utilization is

$= \frac{R}{\mu}$

= $\frac{1.6}{5}$

= 0.32

c. The amount of time required is

= 1 - system utilization

= 1 - 0.32

= 0.68

And, there is 8 hours per day

So, it would be

= $0.68 \times 8$

= 5.44 hours

d. Now the probability of two or more customers is

$= 1 - (0.68 + 0.68 \times 0.32)$

= 0.1024

Therefore we simply applied the above formulas

4 0

2 years ago

A campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 199 like rock,

Ostrovityanka [42]

<span>There are 24 who like both rock and country. There are 8 who like all 3 types, and these eight have been counted under the 24. This means that the number who like rock and country but not jazz is 24 - 8 = 16.
We are given a total of 155 who like country. We subtract the 16 who like both rock and country, and are left with 139 people who like country but not rock. (It does not matter whether they like jazz or not).
The probability is 155 out of the total of 500, so 155/500 = 31/100 = 0.31.
</span>

6 0

2 years ago

The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillat

Greeley [361]

Answer:

1) $L \propto T^2$

Using the condition given:

$2.205 m = K (3)^2$

$K = 0.245 \approx \frac{g}{4\pi^2}$

So then if we want to create an equation we need to do this:

$L = K T^2$

With K a constant. For this case the period of a pendulumn is given by this general expression:

$T = 2\pi \sqrt{\frac{L}{g}}$

Where L is the length in m and g the gravity $g = 9.8 \frac{m}{s^2}$ .

2) $T = 2\pi \sqrt{\frac{L}{g}}$

If we square both sides of the equation we got:

$T^2 = 4 \pi^2 \frac{L}{g}$

And solving for L we got:

$L = \frac{g T^2}{4 \pi^2}$

Replacing we got:

$L =\frac{9.8 \frac{m}{s^2} (5s)^2}{4 \pi^2} = 6.206m$

3) $T = 2\pi \sqrt{\frac{0.98m}{9.8\frac{m}{s^2}}}= 1.987 s$

Step-by-step explanation:

Part 1

For this case we know the following info: The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillation), T seconds.

$L \propto T^2$

Using the condition given:

$2.205 m = K (3)^2$

$K = 0.245 \approx \frac{g}{4\pi^2}$

So then if we want to create an equation we need to do this:

$L = K T^2$

With K a constant. For this case the period of a pendulumn is given by this general expression:

$T = 2\pi \sqrt{\frac{L}{g}}$

Where L is the length in m and g the gravity $g = 9.8 \frac{m}{s^2}$ .

Part 2

For this case using the function in part a we got:

$T = 2\pi \sqrt{\frac{L}{g}}$

If we square both sides of the equation we got:

$T^2 = 4 \pi^2 \frac{L}{g}$

And solving for L we got:

$L = \frac{g T^2}{4 \pi^2}$

Replacing we got:

$L =\frac{9.8 \frac{m}{s^2} (5s)^2}{4 \pi^2} = 6.206m$

Part 3

For this case using the function in part a we got:

$T = 2\pi \sqrt{\frac{L}{g}}$

Replacing we got:

$T = 2\pi \sqrt{\frac{0.98m}{9.8\frac{m}{s^2}}}= 1.987 s$

8 0

2 years ago

Instead of having 1.5 times as many pink flowers as white flowers, molly has decided to plant a garden with twice as many pink f

harkovskaia [24]

Answer:

Row 1 = 2 white flowers

Row 2 = 3 white flowers

Row 3 = 4 white flowers

Step-by-step explanation:

Instead of having 1.5 times as many pink flowers as white flowers, Molly has decided to plant a garden with twice as many pink flowers as white flowers per row. If she plants 3 rows, with 4, 6, and 8 pink flowers, how can you find the number of white flowers in each of those rows?

Let

White flowers = x

Pink flowers = 2x

Molly plants 3 rows with 4, 6 and 8 pink flowers

Number of white flowers in each row is

Row 1

Pink flowers = 4

2x = 4

Divide both sides by 2

x= 2

White flowers = 2 in row 1

Row 2

Pink flowers = 6

2x=6

Divide both sides by 2

x= 3

White flowers in row 2 = 3

Row 3

Pink flowers = 8

2x=8

Divide both sides by 2

x= 4

White flowers in row 3 = 4

Therefore, the number of white flowers in each rows are 2, 3 and 4 respectively

4 0

2 years ago

Read 2 more answers