Answers
Answer:
For Triangle 1
a. Hypothenus = 4
b. Adjacent = 2√3
For Triangle 2:
a. Hypothenus = 2√2
b. Adjacent = 2
Step-by-step explanation:
For Triangle 1
NOTE: We shall be using angle 30°.
a. Determination of the Hypothenus.
Opposite = 2
Angle (θ) = 30°
Hypothenus =?
Sine θ = Opposite /Hypothenus
Sine 30 = 2 / Hypo
0.5 = 2 / Hypo
Cross multiply
0.5 × Hypo = 2
Divide both side by 0.5
Hypo = 2 / 0.5
Hypothenus = 4
b. Determination of the Adjacent
NOTE: We shall be using angle 30°.
Opposite = 2
Angle (θ) = 30°
Adjacent =?
Tan θ = Opposite / Adjacent
Tan 30 = 2 / Adj
1 / √3 = 2 / Adj
Cross multiply
1 × Adj = 2 × √3
Adjacent = 2√3
For Triangle 2:
a. Determination of the Hypothenus.
Opposite = 2
Angle (θ) = 45°
Hypothenus =?
Sine θ = Opposite /Hypothenus
Sine 45 = 2 / Hypo
1 / √2 = 2 / Hypo
Cross multiply
1 × Hypo = 2 × √2
Hypothenus = 2√2
b. Determination of the Adjacent
Opposite = 2
Angle (θ) = 45°
Adjacent =?
Tan θ = Opposite / Adjacent
Tan 45 = 2 / Adj
1 = 2 / Adj
Cross multiply
1 × Adj = 2
Adjacent = 2
Related Questions
Mallie's car dealership expects to sell 18 cars every 6 days. Based on this information, how many days does the dealership expect that it will take to sell 90 cars
Answers
Answer:
30 days
Step-by-step explanation:
1 way:
18 cars/6 days = 3 cars/1 day
90cars/3 cars a day= 30 days
another way:
90 cars/18 cars= 5
6 days * 5= 30 days
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
c2+2c
Answers
Answer:
Step-by-step explanation:
c2+2c+4
(c+2)^2
^ is the exponent
What is the first step in the decision-making process, and why is it important?
Answers
Answer:
Recognizing the problem or opportunity and deciding to address it.edge ⬇️
help please, i will love you forever
Answers
Answer:
See Below
Step-by-step explanation:
I'm not going to do the homework for you, but I will complete three of the problems to help you understand the process.
We are converting between different units of measurement.
Here are the conversions to know:
12 inches = 1 foot
3 feet = 1 yard
1760 yard = 1 mile
5280 feet = 1 mile
#1
We need to convert 7 feet into inches.
7 feet * 12 inches per foot = 84 inches
Now we know:
84 inches = 7 feet
What's the difference is between 84 inches, and 18 inches?
84 inches - 18 inches = 66 inches
We need 66 more inches to get a length of 7 feet.
#2
We need to convert 2 miles into yards.
2 miles * 1760 yards per mile = 3520 yards.
Now we know:
3520 yards = 2 miles
What's the difference between 3520 yards and 2000 yards?
3520 yards - 2000 yards = 1520 yards
We need 1520 more yards to make 2 miles
#3
We need to convert 108 inches into feet.
108 inches / 12 inches per foot = 9 feet
Since there is no remainder,
9 feet = 108 inches.
Hopefully you can see what is going on here and do the rest yourself.
I need help plz, ASAP
Answers
Answer for #5:
L=2,6,f=-2,6 ,m=3,1 ,g=-3,1 ,n=6,3 ,h=-6,3
Answer:
b
Step-by-step explanation:
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 420.0 gram setting. It is believed that the machine is underfilling the bags. A 33 bag sample had a mean of 417.0 grams. A level of significance of 0.01 will be used. Determine the decision rule. Assume the variance is known to be 576.00.
Answers
Answer
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the machine is underfilling the bags
Step-by-step-explanation:
From the question we are told that
The population mean is [tex]\mu = 420.0 \ g[/tex]
The sample size is n = 33 bags
The sample mean is [tex]\= x = 417.0 \ g[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The variance is [tex]\sigma^2 = 576.0[/tex]
The null hypothesis is [tex]H_o : \mu = 420[/tex]
The alternative hypothesis is [tex]H_a : \mu < 420[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma^2}[/tex]
=> [tex]\sigma = \sqrt{576 }[/tex]
=> [tex]\sigma = 24[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \sigma }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{417 - 420 }{ \frac{24}{ \sqrt{ 33} } }[/tex]
=> [tex]z = -0.71807[/tex]
From the z table the area under the normal curve to the left corresponding to -0.71807 is
[tex]p-value = P(Z < -0.71807 ) = 0.23636[/tex]
Generally looking at the values we see that
[tex]p-value > \alpha[/tex] , hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the machine is underfilling the bags
g When comparing the 90 percent prediction and confidence intervals for a given regression analysis Multiple Choice the prediction interval is narrower than the confidence interval. the prediction interval is wider than the confidence interval. there is no difference between the size of the prediction and confidence intervals. no generalization is possible about their comparative width.
Answers
Answer:
the prediction interval is wider than the confidence interval
Step-by-step explanation:
Given that the confidence intervals depicts how a researcher got its parameter of interest, for example, regression coefficient, and prediction intervals show the researcher where to find the subsequent sampled data.
Therefore, Prediction intervals must cater to the uncertainty in estimating the population mean, and the random variation of the individual values.
Hence, when comparing the 90 percent prediction and confidence intervals for given regression analysis, a prediction interval is invariably wider than a confidence interval.
This explains the fact that the prediction interval will not collapse to a single value as the sample size rises.
Help!!!!!!!!!!!!!!!!!
Answers
Answer:
7.5 i got
Step-by-step explanation:
60%8= 7.5
Answer: the shaded area is 1/6 of the circle and is 60 degrees thats all i know sorry if not right
Step-by-step explanation: HAVE A GREAT DAY
3. Find the class size, class mark Lower limit and upper limit of the class interval 150-200
Answers
Answer:
See Explanation
Step-by-step explanation:
Class size = 200 - 150 = 50
Class mark = (150 + 200)/2 = 350/2 = 175
Lowe limit = 150
Upper limit = 200
What fraction are equivalent to 5/20?
Answers
Answer:
A. 4/16, because 5/20 = 1/4 and 1/4 = 4/16
Step-by-step explanation:
If u r talking about edge then this is correct, hope this helps :)
NEED THIS ASAP PLEASE
Answers
Answer:
50
Step-by-step explanation:
What is (-24)+(-36)+(-12)
(Simplify the following )
Please help me.. if I fail I’ll get kicked from school
Answers
-24-36-12
-72
(-24)+(-36)+
-24-36-12
-72
please help me with all
Answers
Answer:
Part A. Mike will save $1650 if he saves $150 for 11 months.
Part B. Since $1750-$150 = $1600 Mike will need to save $100 in the 12th month. Since $100 is less than $150, he will be able to reach his goal.
Part C. If Mike saves $160 every month for 12 months, he will have saved $1920.
How do you solve these? I guess I have to find how much they are in percents
Answers
Answer
1) 2500 %
2) 1800%
3) 3500%
Step-by-step explanation:Convert the decimal to a percentage by multiplying the decimal by 100 .
A polynomial p has zeros when x=5, x=-1, and x=-1/4. what could be the equation of p?
A. p(x)=(x+5)(x+1)(4x+1)
B. p(x)=(x-5)(x+1)(4x+1)
C. p(x)=(x+5)(x-1)(4x-1)
D. p(x)=(5x)(-1x)(-1/4x)
Answers
Answer:
B
Step-by-step explanation:
Given: x = 5 ; x - 5=0
x = -1; x+ 1= 0
x = -1/4; 4x + 1 = 0
Then; (x - 5)(x + 1)(4x + 1)
Josh is comparing the volume of a cylinder and steer. The cylinder has a high of 8 inches and radius of 6 inches. This sphere has a radius 6 6 inches. What is the van of the cylinder and spare in terms of pie
Answers
Answer:Has a diamanitor of 6). B.)9 pi square units ... What is the volume, to the nearest whole cubic inch, of a cylinder with a height ... Volume of Cylinders, Cones, and Spheres Assig…
Step-by-step explanation:
(c−9)2−(4c−2)2 factor
Answers
Answer:
−2(3c + 7)
Step-by-step explanation:
Factor the polyomial
Please help me for the following questions please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!...…..
Answers
Answer:
All are corrects.
Step By Step Explanation:
It's all the same thing.
A firm is concerned with variability in hourly output at several factories and shifts. Here are the results of an ANOVA using output per hour as the dependent variable (some information is missing). Source Sum of Squares df Mean Square F Ratio Factory 19012.5 1 19012.5 26.427 Supplier 258.333 2 129.167 0.180 Factory*Shift 80908.333 2 40454.167 56.230 Error 8633.333 12 719.444 Total 108812.5 17 6400.735 The number of observations in each treatment cell (row-column intersection) is
Answers
Answer:
The number of observations is 3
Step-by-step explanation:
According to the given situation, The computation of the number of observations in each cell treatment via intersecting row-column is shown below
Here
N represents the number of observations
So from the given data, the number of observations is 3
i.e.
N = 3
The same is to be considered and relevant too
. In the formula I=P·r·t, what does I stand for?
Answers
Answer:
I stand for simple interest.
p stands for principal amount
R Stands for Rate of interest
T stands for Time
This is the formula for simple interest.
NUMBER 6 ONLY. Please help. Only if you are SURE
Answers
Answer:
I think it should be zero
Find the slope of the line through each pair of points. (-20,-4), (-12, -10)
Answers
Answer:
-0.75 i think
Step-by-step explanati
Convert the following repeating decimal into a fraction. *
0.497
Answers
Answer:
497/1000
Step-by-step explanation:
sorry but that's as simplified as it gets
A car travels 53.6 miles in an hour.
if the car continues at the same speed for 19 hours, how many miles will it travel?
Answers
Answer:
The car would have traveled 1,018.4 miles in 19 hours because you have to multiply 1 by 19 to get to 19 so you would have to do the same to the miles and 53.6 times 19 is 1,018.4 miles.
Step-by-step explanation:
Find the value of x if DE is a midsegment
Answers
Answer:
It is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side. As shown in the triangle given below. Therefore the value of x is 15
On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.
Answers
Answer:
B.Reigion D
Step-by-step explanation:
Answer:
Region B
Step-by-step explanation:
Cause i just know
The American College Testing Corporation has a test called the ACT that is used for admissions to college. The American College Testing Corporation reports that students who attend 2-year colleges in the Midwest United States have an average ACT score of 21.5, with a standard deviation of 3.17. The president of the Minneapolis Community College wonders if students who attend her college have a ACT scores that are significantly different from the ACT scores reported by the American College Teaching Corporation. The president would perform a ___________ test, and use a z-critical value of _____.
Answers
Answer:
Two tailed test
+/-1.96
Step-by-step explanation:
Following this claim, the president would have to perform a two tailed test. Since he wants to know if the Act scores of students in her school are significantly different from what is reported by the ACT corporation.
At a confidence level that is 95%, the level of significance is = 0.05. then the z critical value to be used would be +/- 1.96
if it costs $55 for 20 people to go rent a movie at red box how much does it cost per person?
Answers
It costs $2.75 per person
An accident in a laboratory results in a room being contaminated by a radioisotope with a half-life of 8 days. If the radiation is measured to be eight times the maximum permissible level, how much time must elapse before the room is safe to enter?
Answers
Answer:
24 days
Step-by-step explanation:
Let the permissible time be Ro
Let the initial activity be R= 8Ro
From;
0.693/t1/2 × t= 2.303 log R/Ro
Half life of the radionuclide= t1/2 = 8 days.
Hence;
0.693/8 × t = 2.303 log 8
t= 2.1/0.087
t= 24 days
Simplify using the laws of exponets.
Answers
The answer is 35 over 2.
Option B!