Answer:
66.4°
Step-by-step explanation:
From the question given above, the following data were obtained:
Adjacent = 6 cm
Hypothenus = 15 cm
Angle Y =?
Angle Y can be obtained by using the cosine ratio as illustrated below:
Cos Y = Adjacent / Hypothenus
Cos Y = 6/15
Cos Y = 0.4
Take the inverse of Cos
Y = Cos¯¹ 0.4
Y = 66.4°
Therefore, angle XYZ is 66.4°
Where does 1/6 land on a number line
Answer:
On a number line, 1/6 would land in the exact middle between 0 and 2/6
Step-by-step explanation:
Not too sure what your question meant, but I hope my answer helped!
If it wasn't what you were looking for, please let me know and elaborate on your question and I'll be happy to help out! :)
Which comparison about the shapes is true? There are 6 squares to 3 circles O There are 3 squares to 6 circles There are 6 circles to 9 squares. There are 3 squares to 9 circles
Answer:
second option 3 squares to 6 circles
Step-by-step explanation:
Answer:
B: There are 3 squares to 6 circles.
Step-by-step explanation:
I did this question and got it right
Tariq is a high school basketball player. In a particular game, he made some two point shots and some free throws (worth one point each). Tariq made a total of 6 shots altogether and scored a total of 8 points. Write a system of equations that could be used to determine the number of two point shots Tariq made and the number of free throws he made. Define the variables that you use to write the system.
Answer:
y=two point shots
x=free throws
system of equations
x+y=6
x+2y=8
Step-by-step explanation:
let y = two point shots
x = free throws
Total shots = 6
i.e x+y = 6
Total points = 8
2y+x = 8
one shot of y = 2 points
one shot of x = 1 points
system of equation
x+y=6
x+2y=8
The system of equations that can be used are x + y = 6 and 2x + y = 8, where x is the number of two point shots and y is the number of free throws.
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Given that,
Tariq made some two point shots and some free throws which is worth one point each.
Let x be the number of two point shots and y be the number of free throws that Tariq made.
Given, Tariq made a total of 6 shots altogether.
x + y = 6
Total points scored = 8 points
Score for two point shot = 2
Score for free throws = 1
Equation can be written as,
2x + y = 8
The system of equations are,
x + y = 6 and 2x + y = 8
Hence the system of equations are x + y = 6 and 2x + y = 8.
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find the volume specified. use 3.14 as the approximate value of pi, and round your answer to the nearest tenth.find the volume of a feed bin having the shape of a right circular cylinder of radius 5 ft and height 5 ft topped by a right circular cone of the same radius and height 3 ft Draw a picture to get started.
ANSWER
The volume of the bin is 471 cubic feet
EXPLANATION;
Given that;
The radius of the cylinder is 5ft
The height of the cylinderis 5 ft]
The height of the cone s 3ft]
To find the total volume of the bin, follow the steps below
Firstly, draw the structure of the bin
Secondly, Write the formula for calculating the volume of a cone and a cylinder
\(\begin{gathered} \text{ The volume of a cone = }\frac{1}{3}\pi r^2h \\ \text{ The volume of a cylinder = }\pi r^2h \end{gathered}\)\(\begin{gathered} \text{ The volume of the cone = }\frac{1}{3}\pi r^2h \\ \text{ where }\pi\text{ = 3.14} \\ \text{ The volume of the cone = }\frac{1}{3}\times\text{ 3.14 }\times\text{ 5}^2\text{ }\times\text{ 3} \\ \text{ The volume of the cone = }\frac{1}{3}\times\text{ 3.14 }\times\text{ 25 }\times\text{ 3} \\ \text{ The volume of the cone }=3.14\text{ }\times\text{ 25} \\ \text{ The volume of the cone = 78.5 ft}^3 \end{gathered}\)\(\begin{gathered} \text{ The volume of the cylinder = }\pi r^2h \\ \text{ }\pi\text{ = 3.14} \\ \text{ The volume of the cylinder = 3.14 }\times\text{ 5}^2\text{ }\times\text{ 5} \\ \text{ The volume of the cylinder = 3.14 }\times\text{ 25 }\times\text{ 5} \\ \text{ The volume of the cylinder = 392.5 ft}^3 \end{gathered}\)Find the volume of the bin
\(\begin{gathered} \text{ Volume of the bin = volume of the cone + volume of cylinder} \\ \text{ Volume of the bin = 78.5 + 392.5} \\ \text{ Volume of the bin = 471 ft}^3 \end{gathered}\)Hence, the volume of the bin is 471 cubic feet
3/4 (x + 9) = 15
It’s a 2 step equation
To solve the equation 3/4 (x + 9) = 15, we can follow these steps:
Simplify the expression on the left-hand side by distributing the 3/4:
3/4 (x + 9) = 15
3/4x + 27/4 = 15
Subtract 27/4 from both sides to isolate the variable term:
3/4x + 27/4 - 27/4 = 15 - 27/4
3/4x = 33/4
Multiply both sides by the reciprocal of 3/4, which is 4/3, to solve for x:
(4/3) * 3/4x = (4/3) * 33/4
x = 11
Therefore, the solution to the equation 3/4 (x + 9) = 15 is x = 11.
Which series tests can be used to show that a series converges absolutely? (Select all that apply) Alternating Series Test Ratio Test Limit Comparison Test Test for Divergence Root Test
The following are the series test to show series are absolute convergence ,Ratio Test ,Limit Comparison Test, Root Test.
The following series tests can be used to show that a series converges absolutely,
Ratio Test
Root Test
Limit Comparison Test
The Alternating Series Test cannot be used to show absolute convergence, as it only applies to alternating series.
The Test for Divergence is used to show that a series diverges, but not whether it converges absolutely.
The Alternating Series Test and Test for Divergence do not test for absolute convergence, but rather conditional convergence.
They cannot be used to show that a series converges absolutely.
Therefore, series used to show absolute convergence are given by
Ratio Test
Limit Comparison Test
Root Test
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Ethan had planned to visit his local post office on Saturday to exchange $400
or euros. The exchange rate for that day was $1 = 1.25 E
However, due to unforseen circumstances, Ethan arrived at the post office after
it closed on that day. He therefore had to wait until the following Monday to
exchange his $400 for euros. The exchange rate on Monday was $1 = 1.20 E
a) How many fewer euros did he receive due to this delay? |20
b) What percentage loss was caused by this delay?
The amount of fewer euros he would receive as a result of the delay is 20 E.
The percentage loss that was caused by the delay is -4%.
What is the fewer euros received and the percentage loss?
Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.
Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday
Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E
Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E
Difference = 500 E - 480 E = 20 E
Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1
Percentage loss = (480 / 500) - 1 = -0.04 = -4%
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Complete the following sentence (select all that apply). The expected count of females who are not pierced is what we would expect to see in the sample if ___________________________. Group of answer choices gender and piercing were significantly related. gender and piercing are independent. the null hypothesis is true. the null hypothesis is not true.
The statement that completes the blank is (c) the null hypothesis is true.
In sampling techniques, the expected count of a variable is dependent on the null hypothesis.
This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.
This in other words, means that the complete statement is:
The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.
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Triangles DEF and D'E'F' are shown on the coordinate plane below: H F D D' 2 -8-7--5-4-3-2-1 1 2 3 4 5 6 7 8 T 20 F CO What rotation was applied to triangle DEF to create triangle D'E'F'?
The mass of the gold ever mined is 1.65 x 108 kilograms.
The mass of all the silver ever mined is 1.411 x 10 kilograms
How much more silver has been mined than gold?
Give your answer in standard form.
Kg
Answer:
need points
Step-by-step explanation:
blah blah blah blah blah hope u pass
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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7x2x2x2 is the prime factorization for which of the following
А
72
B
56
С
44
D
28
4. Amy, Betty and Carol have 96 books altogether. Betty has 6 books less than Amy and Carol has half as many as Betty. How many books does each girl have?
The Amy has 42 books, Betty has 36 books, and Carol has 18 books.
Let's set up equations to represent the given information:
Let A represent the number of books Amy has.
Let B represent the number of books Betty has.
Let C represent the number of books Carol has.
Let's say Amy has x books.
Betty has 6 books less than Amy, so Betty has (x - 6) books.
Carol has half as many books as Betty, so Carol has (x - 6)/2 books.
According to the problem, the total number of books they have is 96.
So, we can write the equation:
x + (x - 6) + (x - 6)/2 = 96
To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:
2x + 2(x - 6) + (x - 6) = 192
2x + 2x - 12 + x - 6 = 192
5x - 18 = 192
5x = 210
x = 42
Amy has 42 books.
Betty has (42 - 6) = 36 books.
Carol has (36)/2 = 18 books.
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I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy
Answer:
2.5
Step-by-step explanation:
We Know
You buy 4 5/8 blue fabric and 2 1/8 green fabric .
4 5/8 = 37/8 = 4.625 blue fabric
2 1/8 = 17/8 = 2.125 green fabric
How much blue than green did you buy?
We Take
4.625 - 2.125 = 2.5
So, you buy 2.5 blue more than green.
Daisy scored 27 goals at her last soccer game. Her coach congratulated her on having a 75% success rate when shooting at the goal. How many times did Daisy try to score a goal that game
Answer:
36
Step-by-step explanation:
75% is the same as 3/4th so if you divide 27 by 3 you get 9 and 9 * 4 = 36
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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The sum of a number and seven
Answer:
x + 7
___________________________________________________
What are variables?
A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common symbols used for variables!
How do we describe variables in word form?
When we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).
In this case "The sum of a number" has no definite correlation to a number, therefore, it is automatically considered a variable.
Then, since it says "The sum" we know we are adding. Adding what? We are adding an unknown term to the number 7.
Henceforth, the answer is x + 7.
___________________________________________________
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What is the greatest common factor of {42,10}
Answer:
5
Step-by-step explanation:
please help on numbers 7-11 im having a lot of trouble thank you! had to fix it the image did not show up!
well which one is it there's 2 questions?
Which fraction is greater 2/6 or 2/3 explain how you know your answer
Answer:
2/3 is greater.
Imagine a pizza is split into 3 slices. You eat 2. You would eat 2/3 of the pizza.
If a pizza is split into 6 pieces and you ate 2 slices, you would be eating less.
Determine if JK and LM are parall,perpendicular, or neither. J(11,-2) K(3,-2) L(1,-7) M(1,-2)
Answer:
neither
Step-by-step explanation:
the coordinates are all different
The blue segment below is a radius of o .What is the length of the diameter
of the circle
Answer:
B.) 21.2 units
Step-by-step explanation:
Radius = Diameter divided by 2
So
Diameter = radius multiple by 2
I need help asap pls only the right answer pls Show step by step addition method it's is for k-12 algebra 2
2x + 5y = 10
3x - 11y = 52
6 tickets for 48.00 dollars what is the unit price?
Answer:
8
Step-by-step explanation:
that's a six tickets for $48 there for F1 tickets we don't know the price of each ticket...divide 48/6
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
If I had 60 units needed and units per case was 14 how many cases and additional units I got
Answer:
4 with a remainder of 4
Step-by-step explanation:
60 divided by 14 is 4 with a remainder of 4
The additional number of units required is 10 units.
Given that:
Total number of units needed = 60 units
Total number of units per case = 14
How to find the total number of cases required for the given question?So, the total number of cases required=Number of units needed / number of units per case.
Number of cases required = 60/14 = 4.285 (this means that 5 cases are required as 4 cases won't be up to 60 units)
With 5 cases, we have exceeded the required units needed :
Additional units will be : (14×5) - 60
Additional units = 70 - 60 = 10 units
Therefore, the additional number of units required is 10 units.
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How many 20kobo make up #20
Answer:
100
Step-by-step explanation:
#20 naira - 20 * 100
= 2000kobo
2000/20
100
QED✅✅
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20. There is a number x sum that x2 is irrational but x is rational. Then x can be
(a) √5102.0 (£)
(b) √2
(c) 3/2
(d) 4/5
The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)
To explain further, we need to understand the properties of rational and irrational numbers.
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.
In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.
Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.
Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.
Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.
In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)
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Justin runs each lap in 8 minutes. He will run at most 10 laps today. What are the possible numbers of minutes he will run today?