The height of the kite above the ground is approximately 134.82 feet.
To find the height of the kite above the ground, we can use trigonometry. The string of the kite forms a right triangle with the height of the kite as the vertical side and the length of the string as the hypotenuse. We can use the sine function to find the height. sine(64°) = height/150. Rearranging the equation, we get height = 150 * sine(64°).
Using a calculator, we find that sine(64°) ≈ 0.8988. Therefore, height ≈ 150 * 0.8988 ≈ 134.82 feet.
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What is the b in 8b=5.6
A rectangle has a perimeter of 48 feet and a length of 14 ft which equation can you solve to find the width
Answer: 2n + 28 = 48
Step-by-step explanation: Got it right on TTM
Write a story problem to represent 5 divided by 1/4
The problem can be seen below, we will see that the quotient between the given numbers is 20.
How to write the problem?Here we want to divide 5 by 1/4.
An example of this can be: Assume that you have $5, and you want to buy pieces of wood (to make little houses for birds) such that each piece costs $(1/4).
How many pieces can you buy?
To solve this, we need to take the quotient between 5 and (1/4), this gives:
[tex]\frac{5}{1/4} = 20[/tex]
You can buy 20 pieces.
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Your doctor told you to eat 25 grams of fiber each day.
You had 4 grams of fiber for breakfast.
What percent of the 25 grams of fiber have you eaten so far?
Melanie eats 1.5 pounds of cereal each week. Which model below best represents the number of pounds of cereal she eats in .5 weeks?
The half-life of a radioactive substance is the average amount of time it takes for half of its atoms to disintegrate. Suppose you started with 200 grams of a substance with a half-life of 3 minutes. How many minutes have passed if 25 grams now remain? Explain your reasoning.
Answer:
It would take 9 minutes for 25 grams of the substance to remain.
Step-by-step explanation:
Radioactive substance degenerate to release particles and lot of energy. The time required for a radioactive substance to degenerate into half of its original size is termed half life. The substance continues the stages of degeneration with respect to the half life.
The given substance would have 3 stages of degeneration to achieve a mass of 25 grams with respect to the half life.
1st stage, it would degenerate to half of its original size;
= [tex]\frac{200}{2}[/tex]
= 100 grams
This occurs in 3 minutes.
2nd stage, it would degenerate to half of its previous size;
= [tex]\frac{100}{2}[/tex]
= 50 grams
This also occurs in 3 minutes.
3rd stage, it would degenerate to half of it previous size;
= [tex]\frac{50}{2}[/tex]
= 25 grams
This also occurs in 3 minutes.
We stop here due to the restriction in the question for 25 grams.
So, the total time taken for the substance to reach a mass of 25 grams
= 3 + 3 + 3
= 9 minutes
It would take 9 minutes for 25 grams of the substance to remain.
i don’t know how to do this. can someone please help me :)
Thomas wrote the equation y equals 3x + 3/4 when Sandra her equation they discovered that her equation had all the same Solutions at Thomas's equation which equation could be Sandra's
Anyone please help solving this maths problems not sure if I did it right. Thanks.
To see how costly it would be for other people to complete a similar cycling tour, you decide to work out two averages and compare.
Group A
Person 1: $500
Person 2: $600
Person 3: $900
Person 4: $450
The average amount spent by members of cycle group A was $
Group B
Person 1: $700
Person 2: $500
Person 3: $680
Person 4: $500
The average amount spent by members of cycle group B was $
8n+3n-n+3n+5n I need help with this
Write an inequality to represent this situation: Nina wants to take at least $15 to the movies. How did you decide which inequality symbol to use?
What is the value of x in this number sentence?
32 = 17 + x
Marta bought new fish for her home aquarium. She bought 3 guppies and 2 platies for a total of $13.95. Hank also bought guppies and platies for his aquarium. He bought 3 guppies and 4 platies for a total of $18.33. Find the price of a guppy and the price of a platy.
The price of a guppy and the price of a platy are $3.19 and $2.19 respectively.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions. Equation: A declaration that two expressions with variables or integers are equal.
Given:
Marta bought 3 guppies and 2 platies for a total of $13.95,
Hank bought 3 guppies and 4 platies for a total of $18.33,
Write the equation of the above statements as shown below,
3g + 2p = 13.95
3g + 4p = 18.33
Here, g is the price of guppies and p is the price of platies,
Solve the above equation by elimination as shown below,
3g + 2p - (3g + 4p) = 13.95 - 18.33 (Subtract equation from each other)
3g + 2p - 3g - 4p = -4.38
- 2p = -4.38
p = 4.38 / 2
p = $2.19 and,
3g = 18.33 - 4 × 2.19
3g = 9.57
g = 9.57 / 3
g = $3.19
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what is the solution to this equation x-16=-8
The solution to the equation x - 16 = -8 is x = 8.
We have,
To solve the equation x - 16 = -8, we want to isolate the variable x on one side of the equation.
First, let's add 16 to both sides of the equation:
x - 16 + 16 = -8 + 16
This simplifies to:
x = 8
Therefore,
The solution to the equation x - 16 = -8 is x = 8.
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mathew is 2 yards tall how many inches tall is he.
Anthony ‘s family went out to dinner. They left at the. Time 5:05 pm any they returned home at 6:52p.m
How long was Anthony ‘s family gone
what is between 3/8 in a number line
how do you solve each absolute value by graphing
He height of a triangle is 9 m less than is base the area is 56 m^2 what is the length of the base?
A rectangular prism has a length of 112 meters, a width of 3 meters, and a height of 512 meters.
Enter the volume of the prism as a mixed number in simplest form in the box.
Answer:
[tex]Volume=24\frac{3}{4}m^3[/tex]
Step-by-step explanation:
The volume of a rectangular prism is calculated using the formula;
[tex]Volume=l \times w\times h[/tex]
where [tex]l=1\frac{1}{2}m[/tex] is the length, [tex]w=3m[/tex], is the width and [tex]h=5\frac{1}{2} m[/tex] is the height of the rectangular prism.
We substitute all these values into the formula to obtain
[tex]Volume=1\frac{1}{2} \times 3\times 5\frac{1}{2}[/tex]
Convert to improper fractions to get;
[tex]Volume=\frac{3}{2}\times 3\times \frac{11}{2}[/tex]
[tex]Volume=\frac{99}{4}[/tex]
[tex]Volume=24\frac{3}{4}m^3[/tex]
Which expression is equivalent to i^233
Answer: the answer is i
Step-by-step explanation:
Jessie set up a lemonade stand for three days. On Saturday she sold 10 and 2/3 gallons of lemonade. On Sunday she sold 3 and 1/3 gallons mor3 than she sold on Saturday. On Monday she sold 2 and 2/3 gallons less than she sold on Sunday. How many gallons of lemonade did jessie sell on Monday
Jessie set up a lemonade stand for three days.
On Saturday she sold 10 and 2/3 gallons of lemonade = 10+2/3 = 32/3 gallons
On Sunday she sold 3 and 1/3 gallons more than she sold on Saturday
Lemonade sold on Sunday = 32/3 + 3 and 1/3 gallons
= 32/3 + 10/3 = 42/3 gallons = 14 gallons
On Monday she sold 2 and 2/3 gallons less than she sold on Sunday
Lemonade sold on Monday = 14 - 2 and 2/3 gallons
= 42/3 - 8/3 = 34/3 gallons
Therefore, Jessica sold 11 and 1/3 gallons of lemonade on Monday
Rachel opened a savings account 6 years ago. The account earns 8% interest, compounded monthly. If the current balance is $1,000.00, how much did she deposit initially?
Is y = 0 the asymptote of all functions of the form f(x) = ab^x? Explain your reasoning.
Final answer:
No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. Functions of the form f(x) = ab^x do not have y = 0 as an asymptote.
Explanation:
No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. In order for a function to have y = 0 as an asymptote, the limit of the function as x approaches infinity or negative infinity would need to be 0. For example, the function f(x) = 1/x has y = 0 as an asymptote because as x approaches infinity or negative infinity, the function approaches 0. However, functions of the form f(x) = ab^x do not have y = 0 as an asymptote because as x approaches infinity or negative infinity, the value of the function either approaches infinity or approaches 0, depending on the values of a and b.
What is the y intercept of y = 6x + 32?
Question 4 options:
6
6x
32
0
The y-intercept of y = 6x + 32 is 32.
Explanation:The y-intercept of a linear equation is the point where the graph of the equation intersects the y-axis. In the equation y = 6x + 32, the y-intercept is the value of y when x is equal to 0. To find it, substitute 0 for x in the equation: y = 6(0) + 32. Simplify the equation to find that the y-intercept is 32.
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The cost of a television is $429.99 after sales tax is added. If the sales tax is 7.5%, what was the cost of the television before sales tax was added? (A) $377.74 (B) $389.46 (C) $397.74 (D) $399.99 (E) $459.27
The original cost of the television before a 7.5% sales tax was added, which made the total $429.99, is optionD. $399.99.
The question is asking to find the original cost of a television before sales tax was added. Given that the final cost after including the 7.5% sales tax is $429.99, we need to find the price before this tax was applied. To calculate this, we first convert the percentage to a decimal, which is 0.075, and then create an equation to represent the relationship between the original price (let's call it x) and the total cost with tax. The equation would be x + 0.075x = $429.99. This is equivalent to 1.075x = $429.99. Solving for x gives us the original price of the TV before tax.
To solve for x, we would divide both sides by 1.075, which is the combined total of the original price and the tax. x = $429.99 / 1.075. This calculation gives us the original price of the TV, which turns out to be $399.99, which is option (D).
Consider the expression 4n3 + 3n2 + 2n + 1. What is the coefficient of n2?
Answer:
Coefficient of n² is 3.
Step-by-step explanation:
Given : 4n³ + 3n² + 2n + 1.
To find : What is the coefficient of n².
Solution : We have given 4n³ + 3n² + 2n + 1.
Coefficient : A numerical or constant quantity placed before and multiplying the variable in an algebraic expression
Example : 4 in 4x² .
In 4n³ + 3n² + 2n + 1.
Coefficient of n² is 3.
Therefore, Coefficient of n² is 3.
What is 6x – 8 = 4 written as a system?
A. y = 6x – 8
y = –4
B. y = 6x – 8
y = 4
C. y = –6x + 8
y = 4
6x – 8 = 4 written as a system y = 6x – 8, y = 4. So, option B) is correct.
An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given,
6x-8=4
For A) Given system
y = 6x – 8.....................1
y = –4.....................2
Substituting y=-4 in eq 1
-4=6x – 8
6x – 8=-4, which is not the same as the given equation.
For B) Given system
y = 6x – 8.....................3
y = 4.....................4
Substituting y=4 in eq 3
4=6x – 8
6x – 8=4, which is the same as the given equation.
For C) Given system
y = -6x +8.....................5
y = 4.....................6
Substituting y=4 in eq 5
4=-6x + 8
-6x +8=4, which is the same as the given equation.
Thus, 6x – 8 = 4 written as a system y = 6x – 8, y = 4. So, option B) is correct.
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Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times much as the soft drink?
Let the cost of the soft drink = C then the price of the sandwich was 3.5 times as much = 3.5C
And
C + 3.5C = Total Cost
C + 3.5C = 9
4.5C = 9 divide both sides by 4.5
C = 9/4.5 = $2.00 for the soft drink
And 3.5C = 3.5(2.00) = $7.00 cost of the sandwich
If Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that, Kit spent $9.00 on a soft drink and a sandwich, with the food being 3.5 times as expensive as the soft drink.
Suppose the cost of the soft drink is x as a result the price of the sandwich will be 3.5x.
Total cost = $9
x+3.5x=9
4.5x=9
x=9/4.5
x= $2.00
The price of the sandwich obtained as,
=3.5x
=3.5× $2.00
=$7
Thus, if Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.
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