Evaluate cosθ if sinθ = [tex]\frac{ \sqrt{5} }{3} [/tex]
Marty has 2 4/5 quarts of juice. He pours the same amount of juice into 2 bottles how much does he pour into each bottle ?
To know how much Marty pours into each bottle, divide the total juice amount by the number of bottles. His total of 2 4/5 quarts became 14/5 when turned into fifths for easier calculation. Dividing 14/5 by 2, we find that Marty pours 1 2/5 quarts into each bottle.
Explanation:Marty has 2 4/5 quarts of juice. He is trying to equally distribute this juice into 2 bottles. To find out how much juice each bottle will contain, we divide the total amount of juice by the number of bottles.
Given that 1 full quart is made up of 5 fifths, 2 quarts are equivalent to 2x5=10 fifths. Marty has 2 full quarts and 4/5 of a quart, which amounts to 10+4=14 fifths of a quart. So, Marty has 14/5 quarts of juice in total.
If he pours the same amount into 2 bottles, then each bottle will contain half of the total amount. To find this out, we divide the total amount by 2, which gives us 14/5 ÷ 2 = 7/5 quarts. Therefore, Marty pours 7/5 quarts or 1 2/5 quarts of juice into each bottle.
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compare 9x10^4 and 3x10^2
On comparison 9 x 10⁴ is a larger number than 3 x 10².
To compare 9 x 10⁴ and 3 x 10², we can compare the coefficients (9 and 3) and the powers of 10 (10⁴ and 10²) separately.
Comparing the coefficients: 9 vs. 3
The coefficient 9 is greater than the coefficient 3. Therefore, 9 x 10⁴ is greater than 3 x 10² in terms of the actual value of the numbers themselves.
Comparing the powers of 10: 10⁴ vs. 10²
The power of 10 in 10⁴ is greater than the power of 10 in 10². A larger power of 10 means the number has more zeros. In this case, 10⁴ has four zeros (10,000), while 10² has two zeros (100).
Since 10⁴ has more zeros than 10², it represents a larger value.
Combining both comparisons:
When comparing the entire numbers, 9 x 10⁴ is greater than 3 x 10². The larger coefficient (9) and the larger power of 10 (10⁴) contribute to its greater value.
In summary, 9 x 10⁴ is a larger number than 3 x 10².
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The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $ 6 per pound with some Orange Pekoe tea that sells for $ 4 per pound to get 300 pounds of the new blend. The selling price of the new blend is to be $ 4.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?
Can someone help figure out how to solve this equation? Thank you!
There 20 people competing in a contest if first place earns $100, second place earns $50 and third place earns $25, How many ways can the three winners be selected?
If you interchange the coordinates of any point in Quadrant 2, in which quadrant would the new point be located?
How to write 5x923 in expanded form
a grain of sand has a diameter of 0.049 millimeters how do I write that in words
What is the unit form and standard form for 10 x 6 tens
you build four scale models of the Empire State Building. The smallest model is 3 centimeters tall. The height of each model is three times the height of the previous model.Write a power to represent the height of the tallest model.Then find the height.
the absolute value of a number can be positive or negative true or false
Answer: False
Step-by-step explanation:
it’s just false I need points
The large rectangle's dimensions are three times the dimensions of the small rectangle. It is #60
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I need help please
The large rectangle's dimensions are 3 times the dimensions of the small rectangle. If the small rectangle's dimensions are W for width and L for length, then the large rectangle's dimensions are 3W and 3L.
Explanation:The subject of this question is Mathematics, specifically relating to geometry and ratios. You're asked to compare two rectangles: a large one and a small one. The large rectangle's dimensions (both the width and length) are three times the dimensions of the small rectangle. Let's assume the dimensions of the small rectangle are W (width) and L (length). Then, the dimensions of the large rectangle would be 3W and 3L, respectively. This is because the large rectangle is three times the size of the small rectangle in both width and length.
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What is a positive minus a negative
A disco ball is shaped like a sphere with a diameter of 16 inches. To the nearest square inch, what is the surface of the disco ball?
The surface area of the disco ball is approximately 804 square inches.
Explanation:To find the surface area of a sphere, we can use the formula: 4πr², where r is the radius of the sphere. Since the diameter of the disco ball is given as 16 inches, we can find the radius by dividing the diameter by 2. So, the radius will be 8 inches. Plugging this value into the formula, we get:
Surface area = 4π(8)² = 4π(64) = 256π inches². To the nearest square inch, the surface area of the disco ball is approximately 804 square inches.
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Which equation correctly applies the distributive property?
A.70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
B.−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
C. −1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25
D.(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)
It's C.!!! hope this helps :D!
257.673 rounded to the nearest hundreth
Alisa’s hair is longer than 6.2 inches. Write the shortest length that alisias hair could be using 2 decimal places
A plane leaves the airport at 2:00 pm and flies south at 160 miles per hour. another plane leaves the same airport at 4:00 pm and flies 11 degrees north of west at 180 miles per hour. at 5:00 pm, what is the distance between the two planes? report your answer with 2 significant figures
I am a graph that records each piece of data above a number line
Answer:
Line plot
Step-by-step explanation:
Consider the provided information.
I am a graph that records each piece of data above a number line
Line plot is a graph that uses marks to record each piece of given data above the number line.
It shows the frequency of data along a number line. Remember it is different from line graph.
The example of line plot is shown in figure below.
A list of the perfect cubes that are between 100 and 600
,
One third of the candidates for a job were 25 years old or younger. Two sevenths of the candidates were at least 50 years old. If 84 people applied for the job, how many were between 25 and 50?
1/3 * 84 = 28 were under 25
2/7 * 84 = 24 were at least 50
28 + 24 = 52
84-52 = 32 were between 25 and 50
Answer:
32 candidates are between 25 and 50.
Step-by-step explanation:
84 people applied for the job. [tex]\frac{1}{3}[/tex] of the candidates for a job were 25 years old or younger.
[tex]\frac{1}{3}[/tex] of 84 candidates = [tex]\frac{1}{3}[/tex] × 84 = 28 candidates
[tex]\frac{2}{7}[/tex] of the candidates were at least 50 years old.
[tex]\frac{2}{7}[/tex] of 84 candidates = [tex]\frac{2}{7}[/tex] × 84 = 24 candidates
age 25 and below + age 50 above = 28 + 24 = 52 candidates
Candidates between 25 and 50 = 84 - 52 = 32 candidates
32 candidates are between 25 and 50.
The selling price for a classic car is $14000, which is $2500 less than three times its original price. What was the original price of the car?
The original price of the car was $5,500, which is derived from the mathematical equation based on the given information in the question.
Explanation:The subject of this question is algebra, a branch of mathematics. The question gives us the selling price of a classic car and tells us that this price is $2500 less than three times its original price. We're asked to find the original price. Let’s denote the original price by x.
According to the problem, 3x (three times the original price) minus $2500 equals the selling price ($14,000). So, if we set this up as an equation, it looks like this: 3x - $2500 = $14,000.
To solve for x (the original price), we first need to add $2500 to both sides of our equation, giving us 3x = $16,500. Then, we divide each side by 3 to solve for x, arriving at x = $16,500 ÷ 3 = $5,500. Therefore, the original price of the car was $5,500.
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A bird of species A, when diving, can travel 6 times as fast as bird of species B top speed. if the total speeds for these to birds 231 miles per hour, find the fastest speed of the birds of species A and the fastest speed of the bird of species B
what is the slope of the line that passes through each pair of points A(-2, -4), B(2,4)
The director of admissions of a small college selected 120 students at random from the new freshman class in a study to determine whether a student's grade
Jason's age is 1 2 of his brother's age. His brother's age can be represented by the expression 12a - 9. Write an expression that can be used to represent the sum of their ages. A) 12a - 5.5 B) 18a - 13.5 C) 18a + 21 Eliminate D) (12a-9) 2
Answer:
[tex]18a - 13.5[/tex]
Step-by-step explanation:
Jason's age is [tex]\frac{1}{2}[/tex] of his brother's age.
Brother age is [tex]12a-9[/tex]
Sum of their ages = Age of Jonson + age of his brother
Jonson's age = half of his brother age
[tex]Jonson's \ age=\frac{12a-9}{2}[/tex]
Sum of their ages =[tex]\frac{12a-9}{2}+12a-9[/tex]
Take common denominator 2
[tex]\frac{12a-9}{2}+\frac{24a-18}{2}[/tex]
[tex]\frac{36a-27}{2} [/tex]
[tex]18a - 13.5[/tex]
Solve the following system of equations.
4x + 5y = -2
4x + 3y = 10
x=?
y=?
The solution to the system of equations 4x + 5y = -2 and 4x + 3y = 10 is x = 7 and y = -6. This is done by using the elimination method.
Explanation:To solve this system of equations, you can use a method called elimination. The idea is to subtract the second equation from the first to eliminate one of the variables, allowing us to solve for the other.
Subtracting the second equation from the first gives you:
4x + 5y - (4x + 3y) = -2 - 10
This simplifies to: 2y = -12
So, y = -12 / 2 = -6
Then, substitute y = -6 into the first equation:
4x + 5(-6) = -2
This simplifies to 4x - 30 = -2, or 4x = 28
So, x = 28 / 4 = 7
So the solution to the system of equations is x =7, y = -6
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Solve for x. −23(3x−4)+3x=56
Answer: 6/11
Step-by-step explanation:
Open bracket
-69x+92+3x=56
Collect like term
-66x=-36
Divide both side by -66
x=6\11
ms.nenadal write 2×7=7×2 on the board. do you agree or disagree? draw arrays to help explain your thinking
It's accurate to say that 2×7 is not equal to 7×2, and the arrays provide a clear visual explanation of this mathematical concept.
Ms. Nenadal wrote 2×7 on the board, which is not equivalent to 7×2. The order of multiplication, as represented by the commutative property, states that changing the order of the factors does not change the product. In this case, 2×7 means adding 2 seven times, while7×2 means adding 7 two times.
Let's draw arrays to illustrate the difference:
For 2×7:
If we represent this as an array, it would have 2 rows and 7 columns, indicating 2 groups of 7.
Array for 2 × 7:
| * * * * * * * |
| * * * * * * * |
For 7×2:
On the other hand, 7×2 would be represented by an array with 7 rows and 2 columns, indicating 7 groups of 2.
Array for 7 × 2:
| * * |
| * * |
| * * |
| * * |
| * * |
| * * |
| * * |
While the product is the same (14) for both, the grouping and arrangement differ. Therefore, it's accurate to say that 2×7 is not equal to 7×2, and the arrays provide a clear visual explanation of this mathematical concept.
-10d^4 e^3 f^5 ÷ 15d^2 e^2 f
Answer:
transcript
Step-by-step explanation:
dividing by a polinomial