MATHEMATICS COLLEGE

In triangle ABC, the size of angle B is 5 times the size of angle A, and the size of angle C is 16° less thantimes the size of angle A.
Find the size of the angles.

Answers

Answer 1

Answer:

Answer:

A=28°;B=140°C=12°

Step-by-step explanation:

I hope this helps

Related Questions

Suppose that B1 and B2 are mutually exclusive and complementary events, such that P(B1 ) = .6 and P(B2) = .4. Consider another event A such that P(A | B1) = .2 and P(A | B2) = .5. Find P(A).
Check Your Understanding!1. A Ford Escape has a 14-gallon fuel tank and can travel approximately 26 miles with one gallon ofgas, Write a function d(x), that gives the distance the Escape can travel with x gallons of gas inthe tank.
the area of the triangle is 2/5 square foot the height is 6/5 ft. what is the length in feet of the base of the triangle?
Swer each part. If necessary, round your answers to the nearest hundredth.(a) Ivan bought 24 pounds of rice for $10. How many dollars did he pay per pound of rice? dollars per pound (b) A color printer prints 18 pages in 8 minutes. How many pages does it print per minute? pages per minute
Which equation represent the following situation : Andre withdrewspending money from his checking account that initially had $982. Whatwas the amount of his withdrawal, w, if his ending balance was $922.O 982 - w = 922O W - 982 = 922O 922 - W = 982

The breakfast cafe uses 3 1/4 lb of coffee per day. How much coffee does it use ina 7 day week?

Answers

Quantity of coffee used per day by breakfast cafe =

$= 3 (1)/(4) \: lb$

Quantity of coffee it will use in a seven day week =

$= 3 (1)/(4) * 7$

$= ((4 * 3) + 1)/(4) * 7$

$= (13)/(4) * (7)/(1)$

$= (91)/(4)$

$= 22 (3)/(4) \: lb$

Therefore , a breakfast cafe will use =

$22 (3)/(4) \: lb \: of \: coffee \: in \: a \: seven \: day \: week \: .$

Final answer:

By multiplying the daily coffee consumption of 3 1/4 lbs by 7, we find that the cafe uses 22 3/4 lbs of coffee in a week.

Explanation:

In a week, the cafe's coffee consumption is calculated by multiplying its daily usage of 3 1/4 lbs by 7 (the number of days in a week). This computation yields 22 3/4 lbs as the total weekly coffee consumption. This process involves multiplying the daily quantity by the number of days to obtain the weekly total. Therefore, the cafe utilizes 22 3/4 lbs of coffee throughout a 7-day week. This method of determining weekly coffee usage is crucial for managing inventory and ensuring that the cafe meets the demands of its customers efficiently. By understanding their weekly consumption, the cafe can effectively plan and stock their coffee supply.

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In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?

Answers

1.66666666667 inches per hour

Answer:

0.625

Step-by-step explanation:

15 divided by 24 which equals 0.625

Problem 8-19 Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The following data show the enrollment (in thousands) for Jefferson Community College for the nine most recent years. Click on the datafile logo to reference the data. Year Period (t) Enrollment (1,000s) 1 1 6.5 2 2 8.1 3 3 8.4 4 4 10.2 5 5 12.5 6 6 13.3 7 7 13.7 8 8 17.2 9 9 18.1 Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.If required, round your answers to two decimal places.
y-intercept, b0 = 4.7.17
Slope, b1 = 1.46
MSE = ???????? NEED THIS
What is the forecast for year 10? 19.283
Round your interim computations and final answer to two decimal places.

Answers

Answer:

a) find the attached graph

b) find the attachment no 4 and 5

c) $T_(10)= 4.72+1.46(10) = 19.28$

Step-by-step explanation:

a) A trend pattern exist if the time series plot gradually shifts to higher or lower values over a long period of time

find the attached graph

b) Liner Trend Equation

$T_(1) =b_(0) +b_(1)t$

Where $T_(1)$ is the linear trend forecast in period t , $b_(0)$ is the intercept of the linear trend time, $b_(1)$ is the slope of the linear trend line, t is the time period

now computing the slope and intercept

formula is attached ( 3 no attachment)

$Y_(t)$ is the value of the time series in period t, n is the number of time periods

Y(bar) is the average value and t(bar) is the average value of t

due to unavailability of equation in math-script i attached the calculation part of this question( 4th and 5th no attachment)

thus the linear trend equation is $T_(t)= 4.72+1.46t$ (1)

$T_(10)= 4.72+1.46(10) = 19.28$

Final answer:

To find the Mean Squared Error (MSE), you can calculate the difference between the actual and predicted values, square these differences, and find their average. To forecast for a specific year, you can insert the year as the 'x' value into the simple linear regression equation.

Explanation:

The question is asking for the Mean Squared Error (MSE) for a simple linear regression model based on the enrollment data of Jefferson Community College. This involves using the y-intercept (b0) and slope (b1) values provided, and the given data points. You can calculate the MSE by taking the difference between the actual and predicted values (errors), squaring these differences, and then finding the average of these squared differences for the entire dataset.

Then, to forecast for year 10, you use the simple linear regression model equation, y = b0 + b1*x, where y represents the predicted enrollment. So, for year 10, you would insert 10 as your 'x' value into the equation, which results in the forecast value provided which is 19.283.

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Please solve the following problem 194=27-x

Answers

Answer:

hello! :)

-167

Answer: 167

Step-by-step explanation:

First get X by itself.

substract 27 to each side

194=27-x

194= 27 -27 -x

194 - 27 = X

X= 167

The owner of a small machine shop has just lost one of his largest customers. The solution to his problem,he says, is to fire three machinists to balance his workforce with his current level of business. The owner says that it is a simple problem with a simple solution. The three machinists disagree. Why

Answers

Answer:

It may look simple to the owner because he is not the one losing a job. For the three machinists it represents a major event with major consequences

A turkey costs $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8 pound servings of turkey. How many pounds of turkey will you need to buy?