Answer:
7) An angle that measures 45° has a tangent of 1.
8) The sine and cosine ratios are equal.
9) The sine of a 30° angle is 0.5.
10) The cosine of a 30° angle is equal to the sine of a 60° angle.
Step-by-step explanation:
Question 7 explanation: In a right triangle, if one angle measures 45°, that means the non-hypotenuse sides are equivalent, so the tangent of a 45° angle is 1.
Question 8 explanation: The sine and cosine ratios of a 45° angle are always equal since the opposite and adjacent side of a right triangle will be the same length, and they both are divided by the hypotenuse.
Question 9 explanation: In a 30°, 60°, 90° right triangle, the side opposite to the 30° angle is always half the length of the hypotenuse, so the sine of a 30° angle is 0.5.
Question 10 explanation: The sine of a 60° angle is equal to the cosine of a 30° angle because the sine of an angle will always be equivalent to the cosine of its complementary angle, or the angle that results from 90° subtracted from that angle. So the cosine of a 30° angle will be equivalent to the sine of a 60° angle.
Solve - 3/5 divided by 9/10. Put your answer in simplest form.
Answer:
2/3
Step-by-step explanation:
Heres how I got 2/3
So first what we need to do is we need to figure out what 3/5 divided by 9/10 is.
So what we are going to do is we are going to do a method that my teachers toaught to me called Pemdas.
So we are going to line up 3/5 and 9/10 right next to eachother.
Then we are going to miltiply the top number of the first fraction by the bottom number of the first fraction and that will be our numerator or in other words first number in our next fraction. So that would end up being 30 because 3x10=30. So our next fraction would start with 30 so it would be 30/x because we dont have a denominator yet or in other words bottom number for our fraction.
So now what we need to do is multiply the bottom number of our first fraction by the top number of our second fraction and that will be 45 because 5 times 9 is 45. So our ansewer WOULD be 30/45 but they asked for it in the simplest form so we need to do that.
So what we need to do is start dividing the fraction 30/45 to make it the smalest fraction we can but keep in mind if you cant make this into another fraction than 30/45 is your ansewer because it is you simplest form. So what we are going to do is take 30/45 and start seeing if we can divide both of these numbers by a smaller number. So I know that 30 can be divided by 5 and so can 45 so after I divide 30 and 45 by 5 it would give me 6/9 as a fraction but wait you can divide 6/9 by 3 and if we divide 6 by 3 it would give us 2 and if we divide 9 by 3 it would give us 3 so our ansewer would end up being 2/3 and 2/3 cant be divided by anything so that IS YOUR ANSEWER 2/3. Have a wonderful day everyone!
The volume of the cone is 1621 yd3. What
is the radius of the cone? height=6
Answer:
If height is in meters: 14044.4876 is the radius
If height is in kilometer: 444.1257 is the radius
Step-by-step explanation:
A 12-m ladder leans against a wall and reached the wall at a point 10.9m above the ground. Find the measure of the angle between the ladder and the ground.
Answer:
Do you have any answer choices?
No links plz. If the side length is 5.6 feet, find the volume to see how much water is needed to completely fill the hot tub?
Your answer:
313.6 space f t cubed
16.8 space f t cubed
175.616 space f t cubed
125 space f t cubed
Answer:
175.616
Step-by-step explanation:
length *with * height
Monika is in charge of ordering pens for an upcoming convention. Pens
come in boxes of 6 and boxes of 8 and Monika needs at least 720 pens.
Which inequality describes this situation?
x = number of boxes of 6 pens
y = number of boxes of 8 pens
The inequality describing this situation is: 6x + 8y ≥ 720
Recall:
A situation can be described using Inequality.Inequality equation involves variables and inequality signs.Given:
number of boxes containing 6 pens = xnumber of boxes containing 8 pens = yGiven that Monika needs at least 720 pens, it means that total number of pens in boxes containing 6 and 8 pens respectively must be equal to or greater than 720.
Therefore, the inequality describing this situation is: 6x + 8y ≥ 720
Learn more about inequality on:
https://brainly.com/question/3013943
Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?
3) The circumference of a circle is 56.52 in. What is its diameter?
Answer:
Approximately 18in
Step-by-step explanation:
To find diameter with circumference, you divide the circumference by pi.
56.52/π
Answer:
17.988/17.99 depending what decimal point your teacher wants it to
Step-by-step explanation:
The formula to get the diameter of a circle from the circumference is: Circumference x 3.142
And 56.52= 17.988
please help
What is a statistical question and what is its purpose? Be sure to include the 3 characteristics that make it up.
What does it mean for data to have variability as it refers to statistical questions? Give an example
Explain the difference between a dot plot and histogram. When would you use each graph?
Explain the difference between center and shape of a data set.
What are outliers and how do they affect a data set? What effect do outliers have on the measures of central tendencies? Which measure would be the best to use?
Answer: A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.
Variability (also called spread or dispersion) refers to how spread out a set of data is. Variability gives you a way to describe how much data sets vary and allows you to use statistics to compare your data to other sets of data.
A histogram is a chart that groups data into classes and displays the frequencies for those classes, while a dot plot illustrates each individual observation along a horizontal number line.
The center is the median and/or mean of the data. The spread is the range of the data. And, the shape describes the type of graph.
The average of set of data that is calculated by dividing the sum of the data by the number of items in the set. ... Measures of central tendency are mean, median and mode. Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).
Answer:
Function 1 has a greater rate of change.
Step-by-step explanation:
Function 1 has a rate of change of 3 because 3x is the slope of the line.
Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.
Function 3 has a rate of change of 2. You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.
Find the common ratio of the geometric sequence 9,-18,36
Answer:
r = - 2
Step-by-step explanation:
The common ratio r of a geometric sequence is
r = [tex]\frac{a_{1} }{a_{1} }[/tex] = [tex]\frac{-18}{9}[/tex] = - 2
Answer:
y ar u gay
Step-by-step explanation:
I need help with these!
Given:
The figures of triangles and their mid segments.
To find:
The values of n.
Solution:
Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.
9.
It is given that:
Length of mid-segment = 54
Length of parallel side = 3n
By using mid-segment theorem for the given triangle, we get
[tex]54=\dfrac{1}{2}(3n)[/tex]
[tex]2\times 54=3n[/tex]
[tex]108=3n[/tex]
Divide both side by 3.
[tex]\dfrac{108}{3}=n[/tex]
[tex]36=n[/tex]
Hence, the value of n is equal to 36.
10.
It is given that:
Length of mid-segment = 4n+5
Length of parallel side = 74
By using mid-segment theorem for the given triangle, we get
[tex]4n+5=\dfrac{1}{2}(74)[/tex]
[tex]4n+5=37[/tex]
[tex]4n=37-5[/tex]
[tex]4n=32[/tex]
Divide both side by 4.
[tex]n=\dfrac{32}{4}[/tex]
[tex]n=8[/tex]
Hence, the value of n is equal to 8.
A restaurant owner wants to give new wait staff a sense for how much money they can
expect to make from tips. She collected data on the number of customers at a table, x, and
the tip amount in dollars, y, from that table. Then, she found the equation of the regression
line:
y = 2.8x + 0.7
According to this regression line, what tip can be expected from a table of 8 customers?
Round your answer to the cent.
$
A sampling method where you determine randomly where you want to start selecting in the sampling frame and then follow a rule to select every xth element in the sampling frame list is called a ____ method.
Answer:
Systematic
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Every xth element, so systematic.
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answer: 1696.46
Step-by-step explanation:
6 x 6 x 3.14 = 113.1
24 x 24 x 3.14 = 1809.56
113.1 - 1809.56
thus we have 1696.46
sorry had to edit some things instead of one 6 its 6 x 6 and same with 24
HELP PLZ I’m struggling with this
Answer:
270 per year so 6 years is 1620 and add that with 6000=7620
Round your answer to the nearest hundredth.
с
B
40°
?
7
А
Answer:
take 40 degree as reference angle
using sine rule
let opposite be x
sine 40=opposite/hypotenuse
0.64=x/7
0.64*7=x
4.48=x
Step-by-step explanation:
Solve the equation for x.
Answer:
-110
Step-by-step explanation:
[tex]-\frac{x}{10} =11[/tex]
-x=11×10=110
x=-110
Which property allows you to write the expression
[(3 +71) + (8 - 61)] + (1+91) as (3 +71) + [(8-61) + (1 +91)]?
DONE
Answer:
the associative property
Step-by-step explanation:
the associative property allows the numbers to add regardless of how you group the numbers
Which expression represents a rational number?
Answer:
C
Step-by-step explanation:
2/7+sqrt121 is just 2/7+11.
This is rational.
Answer:
2/7 + sqrt 121
Step-by-step explanation:
the square root of 121 is a whole number - 11, which is rational and makes the equation rational
Joey rode his bicycle 125 yds. The diameter tire is 25 inches. How many whole revolutions did the tire make (1 yd= 36 inches) ?
Answer:
Step-by-step explanation:
I wanted to see if I got this answer right, pretty sure it’s wrong. Any help appreciated!
There are 4 paperback and 10 hardback books on a reading list. Your teacher randomly assigns you 3 books to take home. What is the probability that you are assigned all hardback books? All answers should be given as a fraction in simplest form!
Any help would be appreciated! Thanks!!!
Answer:
14/3 as an improper fraction
Step-by-step explanation:
Step-by-step explanation:
3/2
Help me out plssssssss
Jillian and Sammi sell 3 pillows for $3.20 each. Then they share the money equally. How much money does each girl get?
Answer:
$4.8
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Price of each pillow = $3.20
Total number of pillows = 3
So, total amount after selling = Price of each pillow × Total number of pillows
= $3.20 × 3
= $9.60
Total number of girls = 2
So, Money each girl gets = total amount after selling ÷ Total number of girls
= $9.60 ÷ 2
= $4.8
Plz help me:)!!!✌︎('ω')✌︎
Vincent played two basketball games. He scored 8 more points in the second game than he scored in the first. He scored 14 points in the second game. How many points did he score in the first game?
Answer:
the answer is 6 points
Step-by-step explanation:
14-8=6
Answer:
6 points is the answer
Step-by-step explanation:
because it's 14-8=6
→the numbers of given is 14,8
→and Minos it
→like this 14-8=6
and hope it helps
#carryonlearning
Give an angle between 0 and 360° that is coterminal with -1005
Answer:
75*
Step-by-step explanation
-1005 + 360 + 360 + 360 = 75
Help pleaseeee
3.3 - 5.7n – 3n +8= ??
Answer:
11.3 - 8.7n
Step-by-step explanation:
Its almost basically combining like terms
You subtract - 5.7n - 3n to get -8.7n, then you add 3.3 + 8 to get 11.3 and you finally put it an equation 11.3 - 8.7n
Add my Discord so we can be besties: BeepBoop #0214 12-14 only please!!
Answer: okay sir
Step-by-step explanation:
The theater sells two types of tickets: adult tickets for $17 and child tickets for $14.
Last night, the theater sold a total of 238 tickets for a total of $3554. How many adult tickets did the theater sell last night?
Answer:
74 adult tickets
Step-by-step explanation:
Create a system of equations where a is the number of adult tickets and c is the number of child tickets:
a + c = 238
17a + 14c = 3554
Solve by elimination by multiplying the top equation by -14:
-14a - 14c = -3332
17a + 14c = 3554
Add these together, and solve for a:
3a = 222
a = 74
So, 74 adult tickets were sold last night