Length of more string needed to fly the kite 10 feet higher is 15.55 ft.
What is angle of elevation?The angle of elevation is the angle between the horizon and the line of sight. If the line of sight is above the horizon, the angle formed is the elevation angle.
Given,
Height of the string above the ground = 4 feet
Angle of elevation = 40°
length of the string = 90 ft
sin 40° = x/90
0.643 = (x)/90
x = 57.87 ft
For 10 ft higher, let the length be 90 + y
sin 40° = (57.87 + 10)/(90 + y)
0.643 = (57.87 + 10)/(90 + y)
57.87 + 0.643y = 57.87 + 10
0.643y = 10
y = 10/0.643
y = 15.55 ft
Hence, 15.55ft more string is needed to let out kite to fly 10 ft higher.
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Final answer:
To find the extra string needed to raise the kite by 10ft, we can use trigonometry and set up an equation based on the sine function. By plugging in the values and solving the equation, we find that you would need 37.7ft of extra string.
Explanation:
To find how much more string you would need to let out for the kite to fly 10ft higher, we can use trigonometry. First, let's find the height of the kite above the ground when 90ft of string is let out. We can use the sine function: sin(40°) = height / 90ft. Rearranging the equation, we find height = sin(40°) * 90ft = 57.7ft. Now, to find the extra string needed to raise the kite by 10ft, we can set up a similar equation: sin(40°) = (height + 10ft) / (90ft + x), where x is the extra string. Rearranging the equation, we get x = ((height + 10ft) / sin(40°)) - 90ft. Plugging in the values, we have x = ((57.7ft + 10ft) / sin(40°)) - 90ft = 37.7ft.
If one paperclip has the mass of 1 gram and 1,000 paperclips have a mass of 1 kilogram, how many kilograms are 8,000 paperclips?
A. 8 kg.
B. 80 kg.
C. 800 kg.
D. 8,000 kg.
Answer:
A. 8kg
Step-by-step explanation:
You don't really need any solution but if
1000 paperclips = 1 kg, then
8000 paperclips = 8kg
Final answer:
To determine the mass of 8,000 paperclips in kilograms, divide 8,000 by 1,000, since 1,000 paperclips weigh 1 kilogram. The result is 8 kilograms, making option A the correct answer.
Explanation:
The question concerns the mass of paperclips in grams and kilograms, which are units of mass in the metric system. To find out how many kilograms 8,000 paperclips would weigh, we need to use the given conversion that 1,000 paperclips have a mass of 1 kilogram. Here's the step-by-step calculation:
Since 1,000 paperclips weigh 1 kilogram, we can find out how many groups of 1,000 paperclips there are in 8,000 paperclips by dividing 8,000 by 1,000.
8,000 paperclips ÷ 1,000 paperclips/kg = 8 kg
Therefore, 8,000 paperclips have a mass of 8 kilograms.
The correct answer to the question is A. 8 kg.
The tables shows the distance traveled over time while traveling at a constant speed.
What is the ratio of the change in y-values to the change in x-values?
Answer: b is the answer
Step-by-step explanation:
2400-1200=1200
2400-1200=1200
hopes this help
Kyle grates 4/8 pound of cheese for enchiladas. He grates 2/8 pound of cheese for tacos. How much cheese does Kyle grate in all?
He grates 6/8 pounds of cheese in all.
For this problem, you just have to add the numerators and keep the denominators.
4/8 + 2/8 = 6/8.
Remember, if the denominator is the same, just add the numerator.
When you add fractions remember only add the numerator. There has to be a common denominator. Like 8.
4/8 + 2/8
4+2=6
So the answer is 6/8
Find the surface area of a cylinder with a height of 9 inches and base radius of 4 inches.
The surface area of the cylinder is 326.56 square inches.
For the surface area (SA) of a cylinder, you can use the formula:
SA = 2π[tex]r^2[/tex]+ 2πrh
where:
r is the radius of the baseh is the heightπ is a mathematical constant approximately equal to 3.14Given that the height (h) is 9 inches and the base radius (r) is 4 inches, you can substitute these values into the formula:
SA = 2 × 3.14 × [tex](4)^2[/tex]+ 2 × 3.14 × 4 × 9
SA = 2 × 3.14 × 16 + 2 × 3.14 × 36
SA = 100.48 + 226.08
SA = 326.56
Therefore, the surface area of the cylinder is
326.56 square inches.
The graph shown represents the rule y =x + 1.5
Answer:
Step-by-step explanation:
plz help !!!!!!!! A rectangular park is 400 m long and 200 m wide. If you walked around the park twice, how far would you walk?
show work -
Answer:
160,000
Step-by-step explanation:
400 * 200 is 80,000 just walking around once, so then multiply it by two.
80,000 * 2 is 160,000
The formula for the circumference of a circle C equals two pi R where are is the radius and see is the circumference equation solve for our is our equals C over two pi find the radius of the circle that has a circumference of 16 pi
Answer:
8
Step-by-step explanation:
The question is basically "Find the radius of the circle that has a circumference of 16π"
The formula for circumference of a circle is given as [tex]C=2\pi r[/tex]
Where
C is the circumference
r is the radius
Plugging in 16π into C and solving for r gives us the radius. Shown below:
[tex]C=2\pi r\\16\pi = 2\pi r\\r=\frac{16\pi}{2\pi}\\r=8[/tex]
the radius is 8
Can someone please solve this problems? Please!
1. Answer: [tex]\bold{\dfrac{188}{3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{y_4-y_1}{x_4-x_1}=\dfrac{128-316}{4-1}=\large \boxed{-\dfrac{188}{3}}\\\\\\\text{The negative sign represents "decrease".}[/tex]
2. The parent graph is y = | x |
a) Shifted down 3 units
b) vertex = (0, -3)
c) Equation: y = | x | - 3
3. The parent graph is y = x²
a) Shifted right 1 and down 1 unit
b) vertex = (1, -1)
c) Equation: y = (x - 1)² - 1
fill in the table the coordinates of B with the information missing about the different transformations of ABC which of the following represents the correct sequence of coordinates to fill in the table above?
Answer: C. (3,-2) (-6,-9) (-6,9) (-9,6) (9,6)
The coordinates of B with the information missing about the different transformations of ABC will be (3,-2) (-6,-9) (-6,9) (-9,6) (9,6).
What are coordinates?It should be noted that coordinates simply mean a set of values that simply show an exact position.
In this case, the coordinates of B with the information missing about the different transformations of ABC will be (3,-2) (-6,-9) (-6,9) (-9,6) (9,6). This is important to determine the position of the points.
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How do you think a graph of the scientist’s data will differ from the graph representing the population growth in the game, if at all?
Final answer:
A real-world population growth graph may differ from a game's graph in terms of actual population numbers, reflecting real-life constraints versus game assumptions, although the overall S-shape indicating logistic growth may be similar. This shows the importance of graph type and display in interpreting growth rates and relationships in data.
Explanation:
When comparing a graph of a scientist’s data on population growth to a graph representing population growth in a game, there may be notable differences. The x-y values on the graphs indicating the time frames for the growth curves would generally be the same since time is a consistent measure. However, while the overall S-shape of a logistic growth model might be similar, representing the slowdown in growth as the population reaches carrying capacity, the actual population numbers corresponding to the starting populations could differ based on real-world limitations versus game conditions.
Further, displaying data graphically helps in interpreting growth rates and relationships between data points. For instance, in a scenario where an individual receives a $2 raise each year, the growth rate decreases over time unless the raise amount also increases. In terms of graphing, economists and other professionals use various types of graphs like pie charts or bar graphs to visualize data, such as the distribution of hours played amongst students, or the comparison of populations among countries. The choice of the graph type and how it's displayed can impact the interpretation of the data.
Moreover, when comparing real data with that from a game, the assumptions and simplifications made in a game's model might not perfectly reflect real-life complexities, leading to different population growth dynamics and consequently different shapes of the graph beyond just the starting population numbers.
There are 100 calories in 8 fluid ounces of orange juice and
140 calories in 8 fluid ounces of pineapple juice. Tia mixed 4 fluid ounce
of each juice. Write and solve an equation to find the number of calories
in each fluid ounce of Tia's juice mixture.
Number of calories in 8 ounces of orange juice = 100
Number of calories in 1 ounce of juice = [tex]\frac{100}{8}[/tex]
Number of calories in 4 ounces of juice = [tex]\frac{100}{8}*4=50[/tex] calories
Number of calories in 8 ounces of pineapple juice = 140
Number of calories in 1 ounce of juice = [tex]\frac{140}{8}[/tex]
Number of calories in 4 ounces of pineapple juice =
[tex]\frac{140}{8}*4=70[/tex] calories
Now the mixture has 50+70 = 120 calories in 8 ounce.
So, 1 ounce of mixture has = [tex]\frac{120}{8}= 15[/tex] calories.
To find the number of calories in Tia's juice mixture, we set up an equation based on the given information. Solving the equation, we find that there are 4 calories in each fluid ounce of Tia's juice mixture.
Explanation:To find the number of calories in Tia's juice mixture, we can set up an equation based on the information provided. Let's say x represents the number of calories in each fluid ounce of orange juice, and y represents the number of calories in each fluid ounce of pineapple juice. Since Tia mixed 4 fluid ounces of each juice, the total number of calories in the mixture would be 4x + 4y. We know that there are 100 calories in 8 fluid ounces of orange juice and 140 calories in 8 fluid ounces of pineapple juice. We can set up the equation:
100 calories = (8/4)x
140 calories = (8/4)y
Simplifying the equations, we have:
25x = 100
35y = 140
Solving for x and y, we find:
x = 4
y = 4
Therefore, there are 4 calories in each fluid ounce of Tia's juice mixture.
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My algebra 1 EOC is coming soon.
What's the best way to study or the best way to past it?
Answer:
do practice review packets and grade yourself
Step-by-step explanation:
there is a website called escambia and google escambia algebra 1 eoc review and there is every thing you need to pass.
please mark me brainliest
Final answer:
To perform well in the Algebra 1 EOC exam, students should study the topics specified by the instructor using provided tools like study guides and flashcards, engage in self-evaluation and active learning, and maintain a good study routine.
Explanation:
To excel in your Algebra 1 End-of-Course (EOC) exam, it is crucial to have a structured and effective study plan. Begin with a clear understanding of the topics you need to cover, such as algebraic expressions, equations, exponents, and functions.
Utilize tools provided by your instructor, like reviews, study guides, flashcards, and PowerPoints. These are specifically tailored to what your instructor deems important and may include topics like number patterns, finance, growth, trigonometry, analytical geometry, and statistics.
Regular self-evaluation helps identify areas that need more attention. Review quizzes and textbook chapter questions, as they are likely indicative of the questions you'll face during the exam. Additionally, engage in active learning by organizing information into categories and patterns, which helps in understanding and retaining complex concepts.
Keira goes shopping at a supermarket
Keira spends approximately $119.12 on food.
To find the fraction of Keira's total spending on petrol, we need to determine the total amount she spent on all items and then calculate the fraction spent on petrol.
Total amount spent on all items (T): We'll use algebra to find the total amount Keira spent.
Fraction spent on other items and clothes: Given Keira spends 1/9 of the money on other items and 1/5 of the money on clothes, we'll find the combined fraction spent on other items and clothes.
Fraction spent on petrol: Subtract the fraction spent on other items and clothes from 1 to find the fraction spent on petrol.
Amount spent on food: Subtract the amounts spent on petrol, other items, and clothes from the total amount to find the amount spent on food.
Total amount spent on all items (T): Let T represent the total amount spent.
Fraction spent on other items and clothes:
[tex]\[ \frac{1}{9} + \frac{1}{5} = \frac{5}{45} + \frac{9}{45} = \frac{14}{45} \][/tex]
Fraction spent on petrol:
[tex]\[ 1 - \frac{14}{45} = \frac{31}{45} \][/tex]
Amount spent on food:
[tex]\[ \text{Amount spent on food} = T - (45 + \frac{1}{9} \times T + \frac{1}{5} \times T) \] \[ \text{Amount spent on food} = T - (45 + \frac{14}{45} \times T) \] \[ \text{Amount spent on food} = \frac{31}{45} \times T \][/tex]
Now, to find the value of T, we solve the equation:
[tex]\[ \frac{31}{45} \times T = 45 + \frac{14}{45} \times T \]\[ \frac{31}{45} \times T - \frac{14}{45} \times T = 45 \]\[ \frac{17}{45} \times T = 45 \]\[ T = \frac{45 \times 45}{17} \]\[ T \approx 119.12 \][/tex]
So, Keira spends approximately $119.12 on food.
The complete question is:
Keira goes shopping at a supermarket. the pie chart below shows information about the money she spends on petrol, clothes, food and other items. what fraction does she spend on petrol? if keira spends $45 on petrol, 1 9 of the money on other items and 1 5 of the money on clothes. how much money does she spend on food? $
Add. Simplify the answer and write as a mixed number if appropriate 4/5+ 3/10+ 1/2 =
Answer: 1 and 3/5
Step-by-step explanation: The common denominator is 10. So, in order for everything to have a denominator of 10, we need to multiply a few things.
4 x 2 = 8
5 x 2 = 10
1 x 5 = 5
2 x 5 = 10
With that out of the way, we can finally move on to figure out the answer.
8/10 + 3/10 + 5/10 = 16/10. The question asks to write as a mixed number, if necessary. And it is. So:
10 goes into 16 once, with 6 left over, so 1 and 6/10. the fraction can be reduced, so we do that. Because 2 goes into 6 (3 times), and 2 goes into 10 (5 times), that leaves us with a final answer of 1 and 3/5.
Final answer:
To add 4/5, 3/10, and 1/2, first find a common denominator, which is 10. Convert the fractions to 8/10, 3/10, and 5/10, add them to get 16/10, which simplifies to 1 6/10, and then further simplify to the mixed number 1 3/5.
Explanation:
To add the fractions 4/5, 3/10, and 1/2, we need a common denominator. The least common multiple of the denominators 5, 10, and 2 is 10. Thus, we convert each fraction to an equivalent fraction with a denominator of 10. The converted fractions are 8/10, 3/10, and 5/10.
Next, we add the numerators: 8 + 3 + 5 = 16. The sum of the fractions is 16/10, which simplifies to 1 6/10 by dividing 16 by 10. Finally, we can simplify the fraction 6/10 to 3/5 because both the numerator and the denominator can be divided by 2. Therefore, our final answer is 1 3/5.
Find the solution of the equation from the given numbers.
x + 14 = 23; 9, 55, 37, or 30
55
9
37
30
x+14=23/-14
x=9
9+14=23
9 because 14+9 equals 23
what is the value of the expression?
2 1/4 divided by 1 2/5
Answer:
45/28
Step-by-step explanation:
Convert them to mixed fractions
(2 * 4 + 1) / 4 ÷ (1 * 5 + 2) / 5
8 + 1 / 4 ÷ 5 + 2 / 5
9/4 ÷ 7/5
Flip the second fraction and flip the sign - to multiply.
9/4 × 5/7
9 × 5 = 45
4 × 7 = 28
45/28
This could be left as a fraction or converted to a number:
1.60714285714
Answer:
The Answer is 1 17/28
Step-by-step explanation:
1) turn the mixed fraction into a regular fraction
2 1/4 divided by 1 2/5 = 9/4 divided by 7/5
2) Then Multiply
9/4 X 7/5= 45/28 (Straight across)
3) Simplify 45/28
Give you 1 17/28
Hopes this helps!
Catherine has $400 in her checking account. She writes a check for $600. What is the balance in her account?
–$1,000
–$200
$1,000
$200
Answer:
-200
Step-by-step explanation:
400 - 600 = -200
Answer:
-200
Step-by-step explanation:
600-400=-200
−2x = 4y + 6 2(2y + 3) = 3x − 5 What is the solution (x, y) to the system of equations above
Answer:
(1;-2)
Step-by-step explanation:
x=-2y-3
2(2y+3)=-6y-9-5
10y=-20
y=-2
x=4-3=1
Please help me
A wooden fruit crate will hold 62 pounds of fruit. The crate already has 18 pounds of fruit inside of it. Which inequality represents the solution set that shows the pounds of fruit, p, that can be added to the crate?
A) p ≥ 44
B) p ≤ 44
C) p ≤ 80
D) p ≥ 80
Answer:
b
Step-by-step explanation: 62-18 is 44 and 44 is greater than 18
Answer:
B) p ≤ 44 is your ANSWER
Step-by-step explanation:
If g(x)=x^2-2x+1 were shifted 2 units to the left, what would be the new equation, h(x)?
Answer:
h(x) = (x+2) ^2 -2x -3
Step-by-step explanation:
If we have to shift 2 units left the we have to replace x by x+2 i.e
h(x) = (x+2)^2-2(x+2)+1
= (x+2)^2 -2x-4 +1
= (x+2)^2 -2x -3
what is one point that lies in the solution set of the system of inequalities graphed?
(0,4) because its the coordinates where the lines intersect
Answer:
C) (-3,3)
Step-by-step explanation:
The solution set is the region of intersection of the blue shaded region and the red shaded region.
We plot the given points, and the only one that falls within the solution set is (-3,3).
Which product is greater than 1/2 helpppppp plzzzz
Please list the answer choices because anything that is greater than 0.5 is correct. If the fraction’s denominator is larger than 2 it is incorrect
Calculate one tenth of an income of 12,347 by dividing by 10
12,347/10
=1,234.7
So 1/10th of the income would be
$1,234.7
One tenth of an income of $12,347, calculated by dividing by 10, gives the result $1,234.7. Dividing by 10 is a common mathematical method for finding a tenth of a value.
Explanation:To calculate one tenth of an income of 12,347 you need to divide 12,347 by 10. This will give you the value of 1,234.7. This method is often used in mathematics to calculate percentages, fractions, or a portion of a given value.
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Students are painting the backdrop for the school play. the backdrop is 15 feet wide and 10 feet high. Every 16 inches on the scale drawing represents 5 feet on the backdrop. What is the area of the scale drawing?
15 points
A=bh for a rectangle. 16x3= 48in(width/base) 16x2= 32in (height) so A=48x32. A= 1,536
the fraction 7/9 produces a repeating decimal. True or false
Answer:
True
Step-by-step explanation:
anything over 9 that is not 9 is a repeating decimal
Answer:
True
Step-by-step explanation:
7/9 = 0.777777777778
write 2 over 8 in simplest form
Answer:
1/4
Step-by-step explanation:
Divide the top and the bottom by 2 to get the simplest form.
2 / 2 = 1
8 / 2 = 4
2/8 = 1/4
Use the data to answer the Question below.
Size of shoe:8,7,8.5,6.5,5,11,15,8,8,7.5,6.5,8,14,12
Answer:
Step-by-step explanation:
Mean: 8 + 7 + 8.5 + 6.5 + 5 + 11 + 15 + 8 + 8 + 7 + 7.5 + 6.5 + 8 + 14 + 12 = 132 / 15 = 8.8
Median: You have to arrange the numbers first in ascending order.
5, 6.5, 6.5, 7, 7, 7.5, 8, 8, 8, 8, 8.5, 11, 12, 14, 15
The median is 8 because that is the middle value/number.
Mean Absolute Deviation:
Get the average/mean (1), find the deviation (2) to get MAD (3).
Step #1 Mean = 8.8
Step #2 To get the deviation, you subtract the mean from the values given.
8 - 8.8 = -0.8
7 - 8.8 = -1.8
8.5 - 8.8 = -0.3
6.5 - 8.8 = -2.3
5 - 8.8 = -3.8
11 - 8.8 = 2.2
15 - 8.8 = 6.2
8 - 8.8 = -0.8
8 - 8.8 = -0.8
7 - 8.8 = -1.8
7.5 - 8.8 = -1.3
6.5 - 8.8 = -2.3
8 - 8.8 = -0.8
14 - 8.8 = 5.2
12 - 8.8 = 3.2
Step #3 Get the summation from step #2, and get its average. Disregard the negative signs.
0.8 + 1.8 + 0.3 + 2.3 + 3.8 + 2.2 + 6.2 + 0.8 + 0.8 + 1.8 + 1.3 + 2.3 + 0.8 + 5.2 + 3.2 = 33.6 / 15 = 2.24 is the Mean Asolute Deviation
Median Absolute Deviation:
Get the median (1) and subtract it from the values (2). Get the median of the new values (3)
Step #1 Median = 8
Step #2
8 - 8 = 0
7 - 8 = -1
8.5 - 8 = 0.5
6.5 - 8 = -1.5
5 - 8 = -3
11 - 8 = 3
15 - 8 = 7
8 - 8 = 0
8 - 8 = 0
7 - 8 = -1
7.5 - 8 = -0.5
6.5 - 8 = -1.5
8 - 8 = 0
14 - 8 = 6
12 - 8 = 4
Step #3 Arrange the numbers in ascending order.
-3, -1.5, -1.5, -1, -1, -0.5, 0, 0, 0, 0, 0.5, 3, 4, 6, 7
The Median Absolute Deviation is 0 since it is the middle value/number.
It is important that you calculate this by yourself in case I did some careless mistakes.
State how the measure of a central angle and its intercepted arc are related.
Question 4 options:
The central angle is the same measure as the intercepted arc.
The central angle is double the measure as its intercepted arc.
The central angle is ½ the measure of its intercepted arc.
The central angle’s measure is not related to the measure of its intercepted arc.
Answer:
Step-by-step explanation:
The measure of a central angle is equal to the measure of its intercepted arc. A chord is a segment that has is endpoints on a circle. ... A line is called a straight angle and it forms a 180 degree angle. A central angle is an angle with its vertex at the center of a circle and its sides are radii of the same circle.
What is the value of the y coordinate of the solution to the systems of equations x+2y=9 and x-y=3
Answer:
y = 2
Step-by-step explanation:
(1) x + 2y = 9
(2) x - y = 3
Subtract (2) from (1)
3y = 6
y = 2
The y-coordinate is y = 2.
The graphs of the two equations intersect at (5, 2).
Answer:
6
Step-by-step explanation:
Minus both from each other;
x=2y=9
x-y=3
x cancels, 2y-y= y; 9-3=6
Therefore; y=6
Selena makes one million dollars annually and gets paid biweekly. What is her biweekly paycheck?
Her biweekly paycheck is 38358.26
Step-by-step explanation:As we know that there are 52.14 weeks in a year
So weekly paycheck will be 1000000 / 52.14 = 19179.13
Since she gets biweekly check so we multiply it with 2
19179.13 * 2 = 38358.26
Her biweekly paycheck is 38358.26