Help please!!!!!!
Right △EFG has its right angle at F, EG=8, and FG=6.
What is the value of the trigonometric ratio of an angle of the triangle?
Answers
Answer:
I. sec G = 4/3
II. cot G = (3√7)/7
III. sin E = ¾
Step-by-step explanation:
Given
Right angled triangle
EG = 8
FG = 6
Required
sec G
cot G
sin E
First, the length of the three sides of the triangle must be completed.
From the attachment below, we can deduce that (by using Pythagoras theorem)
Hyp² = Adj² + Opp²
EG² = FG² + EF²
Substitute EG = 8 and FG = 6
8² = 6² + EF²
64 = 36 + EF²
Collect like terms
EF² = 64 - 36
EF² = 28
Take square root of both sides
√EF² = √28
EF = √28
EF = √(4 * 7)
EF = √4 * √7
EF = 2 * √7
EF = 2√7.
Now, the trigonometric functions can be solved.
i. sec G.
sec is the reciprocal of cos .
So, we need to solve first for cos G
cos G = Adj/Hyp
Here, adj = 6 and hyp = 8
So,
cos G = 6/8
cos G = ¾
So,
sec G = 1/(¾)
sec G = 4/3
ii. cot G
cot is the reciprocal of tan
So, we need to solve first for tan G
tan G = Opp/Adj
Here, adj = 6 and opp = 2√7
So,
tan G = 2√7/6
tan G = √7/3
So,
cot G = 1/(√7/3)
cot G = 3/√7
Rationalise
cot G = 3/√7 * √7/√7
cot G = (3√7)/7
iii. sin E
sin E = Opp/Hyp
Here, Opp = 6
Hyp = 8
So,
sin E = 6/8
sin E = ¾
Related Questions
Ages
The ages of 10 different students in a college math class were used to make the box plot shown above. Which of the sets of ages below matches the given box plot?
A.
Ages: 18, 19, 19, 20, 20, 20, 21, 22, 22, 26
B.
Ages: 18, 19, 20, 20, 20, 20, 21, 22, 22, 26
C.
Ages: 18, 19, 19, 20, 21, 21, 21, 22, 22, 26
D.
Ages: 18, 19, 19, 20, 20, 20, 21, 21, 22, 26
Answers
Answer: It would be A
Step-by-step explanation:
First: Find Median
18,19,|19|,20,|20,20|,21,|22|,22,26
there is 10 numbers so it would be between 20 and 20. Add 20 and 20 and you will get 40 and divide by 2 to get 20. Your median is 20 and the dot should be on top of the 20.
Second: Find Quartile 1 and 3
Since it’s 5 numbers on each side, the math is friendly. So you count the first 2, then circle the next number and count the last 2. The one you circled is your Quartile 1 and do the same for Quartile 3. Q1 should be 19 and Q3 should be 22. Check if they are underneath that number you got.
Last: now you know that you just have to find the median and the Q1 and Q3 and you should get the answer which is A.
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
can someone help me wit this?
Answers
Answer for number 2 is: -1
Answer for number 3 is: -35/6 or in decimal form, -5.83
Find the unknown measure of the rectangle
Answers
Answer:
19 meters
Step-by-step explanation:
Hope it helps :)
Answer:
19 square meters
Step-by-step explanation:
Area= L • W
57= ? • 3
So you would divide:
57/3 = 19
Therefore, 19 is our length and unknown measurement.
Area= 19 • 3
Area= 57
Hope this helps, good luck!
(Help me please) what can you tell about the mean of each distribution
Answers
Answer:
The distribution is considered the mean in the problem
Step-by-step explanation:
$124.84 - $19.75 = $105.09
If you can consider what the mean is in math: How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Have a nice day and if you could mark me as brainllest I would be happyHELP HELP HEEEEEEEEEELP!
There are 5 cockroaches crawling on each square meter of the front of this building. How many cockroaches are crawling on the front of the building?
Please show your work and explain. Thanks!!!
Answers
Answer:
^60 or id know
Step-by-step explanation:
Answer:
I might or might not be right but i think the answer is ^60.
I hope this helped u .
Step-by-step explanation:
Question on photo
A. 16
B. 29
C. 27
D. 21
Answers
Ed has a piece of string for a craft project that measures
21.72
inches long. Georgiana’s string is
1
6
of the length of Ed’s string. How long is Georgiana’s string?
0.17
inches
0 point 1 7, inches
3.62
inches
3 point 6 2, inches
21.72
inches
21 point 7 2, inches
27.72
inches
27 point 7 2, inches
Answers
Answer:
3.62 inches
Step-by-step explanation:
Given :
Ed's string length = 21.72 inches
Georgiana's string length = 1/6 of Ed's string length
To Find :
Georgiana's string length
Solving :
Georgiana's string length = 1/6 of Ed's string length
Georgiana's string length = 1/6 × 21.72
Georgiana's string length = 21.72/6
Georgiana's string length = 3.62 inches
Answer:
3.62 inches
Step-by-step explanation:
Step-by-step explanation:
Given that Ed's string length is = 21.72 inches
And that Georgiana's string length is = 1/6 of Ed's string length
We need to find Georgiana's string length
Georgiana's string length = 1/6 of Ed's string length
And Georgiana's string length = 1/6 × 21.72
Georgiana's string length = 21.72/6
Which would bring us that Georgiana's string length is = 3.62 inches
I hope this helps, if it doesn't then just message me and ill be more than happy to help :)
Which of the following is a statistical question that can result in numerical data?
How many letters are in your first name?
How many hours do you practice your musical instrument each week?
How many books do the students in your class read each month?
Who is your favorite cartoon character?
Answers
Kelly bought 8 apples, 3 pears and 13 oranges and brought them home in a grocery bag. She picks one out without looking at what is the probability (in a fraction) of her getting a pear? An apple? Or a pear. brainleist to first to answer.
Answers
Answer:
The chances of choosing an apple are 8/24 = 1/3
The chances of choosing an pear are 3/24 = 1/8
Step-by-step explanation:
Answer:
Step-by-step explanation:There are 152 apples.
The explanation is shown below:
- You need to write the following three equations, where is the the number of apples, is the number of pears and is the number of oranges:
1)
2)
3)
- You must substitute the equation 3) into the equation 2):
- Now, you need to solve for in the equation 1) and then you must substitute it into :
- Solve for , as following:
- Therefore, there are 152 apples.
The diameter of a circle is 14 centimeters. What is the circle's area?
Answers
Answer:
49π or 153.94 to 2dp
Step-by-step explanation:
diameter=14
radius=7
equation for area= r^2 × π
7^2=49
49×π=49π
49π=153.93804002589
or 153.94 to 2dp
Answer:
153.93804003
Step-by-step explanation:
The area of a circle is: A= πr²
So we have to divide the diameter by 2 which is 7 and that will give us our radius
A= π(7)²
A= π(49)
A=153.93
Hope this helps!!
Banana Cupcakes
makes 10 cupcakes
1 cup granulated sugar
cup vegetable oil
1 large egg
4 tablespoons sour cream
2 medium-sized ripe bananas, mashed
1 cups all-purpose flour
1 teaspoon baking soda
teaspoon salt
1 teaspoon vanilla extract
pinch of nutmeg
You will use the recipe above to answer the following questions:
This recipe serves 10, but you need to serve 30. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How much vegetable oil do you need for 30 cupcakes?
How much flour do you need for 30 cupcakes?
What is the difference in the amount of vanilla extract you would need for 30 cupcakes?
What is the difference in the amount of salt you would need for 30 cupcakes?
In the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. Which ingredient would it make more sense to round rather than coming up with the exact amount? Why?
Answers
Answer: Hey give me 1 hour and ill answer it I'm doing odessyware rn so Ill get back to you later appreciate yo patients.
Step-by-step explanation:
Then, if we want to make 30 servings, we need to use that recipe 3 times. (because x*10 = 30, then x = 30/10 = 3)
This would be equivalent to multiply each ingredient by 3.
for 30 cupcakes we need:
3 cups of vegetable oil.
3 cups of all-purpose flour
(because for each one of these ingredients we needed only 1 cup to make 10 cupcakes).
for 10 cupcakes we need 1 teaspoon of vanilla.
for 30 cupcakes we need 3 teaspoons of vanilla, the difference is 3 - 1 = 2.
So the difference is 2 teaspoons.
About which quantities we should round are those where we may have mixed numbers or big numbers.
For example, we have 4 tablespoons of sour cream for 10 servings, then for 30 servings we should have:
3*4 = 12 tablespoons.
We could round this down to 10 tablespoons.
Hope this helped
I almost broke my brain doing this so can you give me brainliest answer please thank you
Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.
Plz whoever actually knows the answer please answer correct
Answers
Answer: UwU
Im trying to solve it but its so much
The box plots shown represent the average mileage of two different types of cars. Use the box plots to compare the data sets.
Drag each value to show if it is greater for SUVs, greater for sedans, or if there is not enough information to tell.
Answers
Answer:
Step-by-step explanation:
A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.
What is the volume, in cubic centimeters, of the cereal box?
Which numbers are a distance of 3 units from 12 on a number line? Solect each correct answer// a. 3 b. 9 c. 15 d. 0 e. -9 f. -15
Answer asap 10% of my points and I'll try to but the top 3 people who answer BRAINLIEST
Answers
Answer:
The 3 units from 12 on a number line is 4units
Answer:
c. 15 and b. 9
Step-by-step explanation:
It's only 15 because 12+3 is 15. 15 is three steps away from 12 on a number line. The other one would be 9 because it is backwards three from 12 on a number line. 12-3 is 9. So your answers would be 15 and 9 (c and b)
How many pieces of fudge are in a bag if there are 6 bags, 84 pieces of fudge in all, and all the bags have the same number of pieces of fudge?
Answers
Using simple long division, this answer can be aquired
Jaden made a rectangular sign that is 1.4 meters long and 1.2 meters wide to post on the wall of his store. How many square meters of wall does the sign cover? The answer is 1.68, but to solve the problem, you need to find 1.4 x 1.2(which it is 1.68). Estimate the area of wall that the sign will cover. Explain your thinking please.
Answers
First, we can round the dimensions of the sign to the nearest whole number to make the multiplication easier. Rounding 1.4 to 1 and 1.2 to 1, we can estimate that the sign covers approximately 1 square meter of wall.
This estimation assumes that the sign is placed directly on the wall with no gaps or overlaps. In reality, the actual area of wall covered by the sign may be slightly larger or smaller depending on the installation method and any spacing between the sign and the wall.
It's important to note that while estimation can be useful for getting a rough idea of the answer, it's not always accurate and should not be relied upon for precise calculations. In this case, using the actual dimensions of the sign to find the area of the wall covered (1.4 x 1.2 = 1.68 square meters) gives a more accurate result.
Please help and you get a cake
Answers
Answer:
Mean = 33.7
Median = 34.5
Mode = 34
Range = 33
After adding 26....
mean decreases by 0.7
median decreases by 0.5
mode is 34
range is 33
Step-by-step explanation:
mean = sum of all the data values/number of data values
= (18 + 19 + 20 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/10
= 337/10
= 33.7
To find median arrange the values in increasing order, find the mid value
If the number of data points is even, find the average of the mid 2 data values
Arranging data values we get:
18, 19, 20, 34, 34, 35, 37, 42, 47, 51
Since there are 10 data values, take the average of the middle two:
(34 + 35)/2 = 34.5
The mode is the value that occurs most often. We see that there are two instances of 34 whereas the other values appear only once
Mode = 34
The range is highest - lowest = 51 - 18 = 33
After we add 26, we get the following data set arranged
18, 19, 20, 26, 34, 34, 35, 37, 42, 47, 51
we can calculate the stats using the same technique as above
We get the following values
mean = )(18 + 19 + 20 + 26 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/11
= 33
median = 34
mode = 34
range = 51-18 = 33
To find the decrease in mean and median subtract from the first set of values
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
A straight line is a function if it can be written in the form y = mx + b.
Question 1 options:
True
False
Answers
Find the sum. ∠1 + ∠2 + ∠3 + ∠4 =
Answers
Answer:
360°
Step-by-step explanation:
It would be the same thing as finding the sum of a rectangle where all 4 angles add up to 360° or think of it as a circle where circles = to 360° (I hope this makes sense)
It will be 360°.
________________
what is the surface area of the figure?
Answers
Answer: 159ft
Step-by-step explanation: So you are going to separate this figure. You will then have one rectangle and one square. You will now have different numbers. On the smaller figure it is 6*4ft. On the bigger figure it is 15*9ft.
6*4ft=24ft
15*9=135ft
So now you add them together.
135+24=159ft
I think that 159ft is the answer.
Answer:
582 ft²
Step-by-step explanation:
Need answer as soon as possible please and thank you :)
Answers
Answer:
I got the answer!!
Step-by-step explanation:
\(\frac{1}{w^{6} }\) i hope this helps!!
Answer:
The simplified expression is 1/w^6.
Step-by-step explanation:
Using the product of powers exponent rule, we have
w^3 * w^(-9) = w^(3 + (-9)) = w^(-6).
However, the problem says to write the expression using only positive exponents. Here's an example of how to interpret negative exponents as positive exponents:
3^2 = 9
3^1 = 3
3^0 = 1
3^(-1) = 1/3
(and keeps on dividing by three onward)
Here, we see that 3^(-1) = 1/3^1.
Applying the same logic here, we have
w^(-6) = 1/w^6.
I hope this helps!
Write an equation for each slope following the formula: y=mx+b
(-3, -14) and (0, -9)
(-2, 5) and (2, 1)
(7, -1) and (21, -5)
(1, 9) and (6, 34)
Answers
B) y = -x + 3
C) y = -2/7x + 1
D) y = 5x + 4
HELP!! PLEASE!! 25P POINTS!!
Determine which integer(s) from the set S:{−24, 2, 20, 35} will make the inequality five sixths m minus five is less than one half m plus 3 false.
S:{−24, 2}
S:{35}
S:{−24, 2, 20}
S:{20}
Answers
Answer:35
Step-by-step explanation:
The integer in the set S:{−24, 2, 20, 35} that will make the inequality five-sixths m minus five is less than one-half m plus 3 false is 35What is inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in inequality aren't always equal. Inequalities imply that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.In this case, based on the information we will replace m with 35. This will be illustrated thus:= 5/6(35 - 5) < 1/2(35 + 3)= 5/6(30) < 1/2(38)= 25 < 19In this case, 25 isn't less than 19. Therefore, 35 is the correct integer.
Answer: 35
Step-by-step explanation:
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
(-3)to the 4th power < (-4)to the 3rd power or (-3)to the 4th power > (-4)to the 3rd power or (-3)to the 4th power = (-4)to the 3rd power
Answers
Answer:
not sure
Step-by-step explanation:
PLS HELP ME!! THIS IS URGENT!!!
Answers
Answer:
no b is the correct answer
Answer:
Step-by-step explanation:
im pretty sure its b
One person tosses a ball in the air from ground level, which is represented by the function f(t)=−4t2+16t Another person tosses a ball in the air from the top of a building, which is represented by the function g(t)=−16t2+64t+192 The variables of the function are represented by time in seconds and the height of the ball f(t), g(t) in feet.
Answers
Answer:
Step-by-step explanation:
If you invest 360 dollars and your annual interest is 54$ what is the interest rate?
Answers
Answer:
0.15
Step-by-step explanation:
\(54 \div 360\)
equals 0.15
Answer:
I think it's $554.40
Step-by-step explanation: