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zloy xaker [14]
3 years ago
11

Answer it and show your work. Which letter choice is it.

Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0

Answer:

b = 55 degrees

Step-by-step explanation:

The angles 30, a, b and 45 must sum up to 180 degrees

Subtracting (30 + 45) from both sides leaves us with a + b = 105 degrees.

But b = a + 5.  Substituting a + 5 in the equation above yields

a + a + 5 = 105 degrees, so that

2a = 100 degrees, and a = 50 degrees.  Then b = a + 5, or b = 55 degrees.

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The yearbook club is handing out T-shirts to its members. There are 5 blue, 7 green, 9 red, and 4 yellow T-shirts in all. If Jac
damaskus [11]

Answer:

n(R)=9

n(Y)=4

n(B)=5

n(G)=7

n(s)25

probability of getting red =n(R)/n(S)=9/25

6 0
3 years ago
What is typically used to quantitatively compare the effectiveness of layouts? A. trial and error B. load-distance model C. expo
Andre45 [30]

Answer:

B. load-distance model

Step-by-step explanation:

A. trial and error

Trial and error is "a fundamental method of problem solving. It is characterised by repeated, varied attempts which are continued until success". But this method is not the best in order to compare effectiveness of layouts

B. load-distance model

The load-distance method is a "mathematical model used to evaluate locations based on proximity factors. The objective is to select a location that minimizes the total weighted loads moving into and out of the facility. The distance between two points is expressed by assigning the points to grid coordinates on a map". And that's the correct option since we are trying to measure the effectiveness of layouts quantitatively.

C. exponential smoothing

This is "a rule of thumb technique for smoothing time series data using the exponential window function". Wheighting observations using the exponential function. But this is a techinique used to smooth s time series not to compare effectiveness of layouts.

D.process control charts

The Control Chart is a "graph used to study how a process changes over time with data plotted in time order". But we don't want to see how the process changes the objective is quantitatively compare the effectiveness of layouts, and this one is not the best option for this.

E. mean absolute deviation (MAD)

The median absolute deviation(MAD) is "a robust measure of how spread out a set of data is. The variance and standard deviation are also measures of spread, but they are more affected by extremely high or extremely low values and non normality". But again is just a measure of spread and not allow to compare effectiveness of layouts.

8 0
3 years ago
a golfer hits a ball with an initial velocity of 120ft/sec so that its path as it leaves makes a 23 ° angle with the horizontal.
Lesechka [4]

Answer:

the time taken for the ball to hit the ground is 9.4s

5 0
2 years ago
Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. What is the volume of the display box? Explain your
Black_prince [1.1K]

Answer:

\text{Volume of display box}=216\text{ in}^3    

Step-by-step explanation:

We have been given that Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. We are asked to find the volume of display box.

We know that the box is in form of cuboid, so its volume would be length times width times height.

\text{Volume of display box}=6\text{ in}\times 9\text{ in}\times 4\text{ in}

\text{Volume of display box}=216\text{ in}^3

Therefore, the volume of the display box is 216 cubic inches.

7 0
2 years ago
A taxi company charges $2.25 for the first mile and then $0.20 per mile for
Vesnalui [34]

Answer:

3 miles and then 3 per mile for each additional mile

3 0
2 years ago
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