Answer: 10
Step-by-step explanation:
Using the Pythagorean theorem,
\(6^2 + 8^2=x^2\\\\36+64=x^2\\\\100=x^2\\ \\ x=10\)
a ball is thrown horizontally at a speed of 20 meters per second from the top of a tower 60 METERS HIGH what is the approximate total time
The approximate total time using equations of motion takes for the ball to hit the ground is 3.49 seconds, and it travels approximately 69.8 meters horizontally before hitting the ground.
To begin with, we can use the equations of motion to solve for the time it takes for the ball to hit the ground. Since the ball is thrown horizontally, we can ignore the vertical component of the velocity and focus only on the horizontal motion.
First, let's find the horizontal distance the ball travels before hitting the ground. We know that the ball is thrown at a speed of 20 meters per second, so its horizontal velocity will remain constant throughout its motion. We can use the formula:
distance = velocity x time
Since the ball will hit the ground, we want to find the horizontal distance it travels in the time it takes to fall. We know that the height of the tower is 60 meters, so the vertical distance the ball falls is also 60 meters. We can use the formula for the time it takes to fall from a certain height:
time = \(\sqrt{(2 * height / gravity) }\)
where gravity is the acceleration due to gravity, approximately 9.8 meters per second squared. Plugging in the values, we get:
time = \(\sqrt{(2 x 60 / 9.8)}\) = 3.49 seconds
This is the total time it takes for the ball to hit the ground. Now, to find the horizontal distance it travels, we can use the formula above:
distance = velocity x time = 20 x 3.49 = 69.8 meters
Therefore, the approximate total time it takes for the ball to hit the ground is 3.49 seconds, and it travels approximately 69.8 meters horizontally before hitting the ground.
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Help!! For algebra 2
Answer:
the first is an expression with a variable x, it describes a parabola, while the second is an equation involving a variable x and x can only have specific values that satisfy the equation.
Step-by-step explanation:
Calculate the mean of the data set below.
28, 40, 53, 39, 45
consider quadrilateral abcd defined by the coordinates: a: (2, 3) b: (3, 1) c: (- 4, 2) d: (2, - 3) if quadrilateral abcd were reflected over the x-axis, what would the coordinates of the newly created quadrilateral image a'b'c'd'?
The coordinates of the newly created quadrilateral image a'b'c'd' would be
A: (2, - 3)
B: (3, - 1)
C: (- 4, - 2)
D: (2, 3)
A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
The Latin words quadra, which means four, and latus, which means sides, are combined to form the English term quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides. As a result, depending on the sides and angles, we might have several sorts of quadrilaterals.
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need help with question
Answer:
42/17 = 2 8/17
Step-by-step explanation:
Probability of pulling out a red crayon = 6/17
Probability of pulling out a blue crayon = 7/17
They are independent events:
6/17 x 7/17 = 42/17 = 2 8/17
A 10 lb particle has forces of F1= (3i + 5j) lb and F2= (-7i + 9j) lb acting on it. Determine the acceleration of the particle.
The acceleration of the particle is a = -0.4i + 1.4j lb. The acceleration of the 10 lb particle can be determined by using Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
By summing up the individual forces acting on the particle, we can find the acceleration. To determine the acceleration of the particle, we need to find the net force acting on it. According to Newton's second law of motion, the net force is equal to the product of the mass and acceleration of the object. In this case, the mass of the particle is given as 10 lb.
The net force is obtained by summing up the individual forces acting on the particle. In vector form, the net force (F_net) can be calculated by adding the x-components and the y-components of the given forces F1 and F2 separately.
F_net = F1 + F2
In this case, F1 = 3i + 5j lb and F2 = -7i + 9j lb. Adding the x-components gives: F_net_x = 3 lb - 7 lb = -4 lb, and adding the y-components gives: F_net_y = 5 lb + 9 lb = 14 lb.
Therefore, the net force acting on the particle is F_net = -4i + 14j lb.
Using the formula F_net = m * a, where m is the mass and a is the acceleration, we can equate the given mass of 10 lb with the net force and solve for the acceleration.
-4i + 14j lb = 10 lb * a
Simplifying the equation gives: -4i + 14j lb = 10a lb
Comparing the coefficients of the i and j terms on both sides of the equation, we can determine the acceleration. In this case, the acceleration is a = (-4/10)i + (14/10)j lb.
Therefore, the acceleration of the particle is a = -0.4i + 1.4j lb.
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blank is 10 times as much as 8
80 tems or 8 hundreds
Step-by-step explanation:\(For\)
\(10\ times\ as\ many\ as\ 8\ tens\ is\)
\(80\ tens\ or\ 8\ hundreds\)
\(\left\{8\ tens\ x\bullet10=80\ \left.\ ten\right\}\right.\)
\(=\ 8\ \left.\ hundreds\right\}\)
I hope this helps you
:)
Kiara had the following car expenses last year: $3060 in car payments; $94 for license
and registration: $128 in tax; $1080 for insurance; $290 for parking; $398 for wear and
tear, $1520 for maintenance; and $930 for gas. If she drove 12,500 miles last year, what
was her average cost per mile?
Average cost per mile is $0.6
How to calculate the average cost per mile?To calculate the average cost per mile that Kiara had to pay, we perform the following operations:
We add up all the payments Kiara made related to her car.
$3,060 + $94 + $128 + $1,080 + $290 + $398 + $1,520 + $930 = $7,500Later we divide the total value, in the number of miles traveled by Kiara
$7,500 ÷ 12,500 miles = 0.6Learn more about average in: https://brainly.com/question/2426692
what is the unit rate for $4.75
Answer:
2.436
Step-by-step explanation:
It’s Right Trust me
Please help !!!!!! thanks
Answer:
an american football field measures 100 yards long between the endzones,and is 53 1/3 yards wide.is the length of the diagonal across this field more or less than 120 yards . what is the value rounded to the nearest tenth of a yard
Step-by-step explanation:
To solve, you need to use Pythagorean Theorum
a^2+b^2=c^2
100^2+53.33^2 = c^2
10,000+2844.0889=c^2
12844.1=c^2
square root
= 113 1/3 yards
So it is less than 120 yards
Vector v has an initial point at (9, 3) and a terminal point at (16, 12). Which of the following represents the linear form of v?
Answer:
The coordinate of the initial point is given below as
\((x_1,y_1)\Rightarrow(9,3)\)The coordinate of the terminal point is
\((x_2,y_2)\Rightarrow(16,12)\)Concept:
The formula below will be used to calculate a linear form of v
\(\Rightarrow(x_2-x_1)i+(y_2-y_1)j_{}\)By substituting the values, we will have
\(\begin{gathered} \Rightarrow(x_2-x_1)i+(y_2-y_1)j_{} \\ \Rightarrow(16-9)i+(12-3)j \\ \Rightarrow7i+9j \end{gathered}\)Hence,
The final answer is
\(v=7i+9j\)The FIRST OPTION is the right answer
What lines would you use to solve
–3x – 2 = 2x + 8?
Graph the line
for the left side of the equation.
Graph the line
for the right side of the equation.
Linear-Linear Equation
The lines to use to solve the equation are y = –3x – 2 and y = 2x + 8
The graph of the line is attached
How to determine the lines to use to solve the equationFrom the question, we have the following parameters that can be used in our computation:
–3x – 2 = 2x + 8
The above equation can be splitted by introducing the variable y
using the above as a guide, we have the following:
y = –3x – 2
y = 2x + 8
This means that the lines to use to solve the equation are y = –3x – 2 and y = 2x + 8
The graph of the line is added as an attachment
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Identify the area of the figure rounded to the nearest tenth
Answer:
118.7 inches squared.
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The expression for solving the area of a circle is A = π × \(r^{2}\).
To solve for the semicircle above, we can divide the diameter into 2 to get the radius.
12 ÷ 2 = 6So, the radius of the upper semicircle is 6 inches.
If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.
A = π × \(6^{2}\)This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.
To solve for the lower semicircle, we can do the same this as we did above.
A = π × \(r^{2}\)But wait, we don't know the radius or diameter!
No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.
To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.
6 ÷ 2 = 3So, the radius of the circle is 3.
Now we can insert 3 into the expression.
A = π × \(3^{2}\)This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.
Adding the two semicircles together:
18π + 4.5π = 22.5π22.5 × π ≈ 70.6858So, the area of both semicircles is approximately 70.6858 square inches.
To solve for the area of a rectangle we use the expression:
A = length × widthInserting the dimensions of the rectangle:
8 × 6 = 48So, the area of the rectangle is 48 square inches.
Adding the two areas together:
70.6858 + 48 = 118.6858 ≈ 118.7Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).
Esther is building a tower of cubes. The ratio of red to yellow cubes is 3:1 The tower has 6 yellow cubes. How many red cubes are there? please help me
Answer:
18
Step-by-step explanation:
We can rewrite the question into mathematical forms, such as:
\(\frac{3}{1} =\frac{x}{6}\)
solve for x:
\(\frac{3}{1} =\frac{x}{6} \\\\3*6=\frac{x}{6}*6\\\\18=x\)
please find solution to the equation
Answer:
n = 3/25
Step-by-step explanation:
5(n-1/10)=1/2
5n = 6/10
n = 3/25
Answer:
Step-by-step explanation:
lets remove the parenthesis
5n- 5/10=1/2
5n=1/2+1/2
5n=1
n=1/5
2(4w-1)=-10(w-3)+4 solve the question
Answer:
w = 2
Step-by-step explanation:
\(2\cdot \:4w-2\cdot \:1\\= 8w-2\cdot \:1\\= 8w-2\\-10\left(w-3\right)+4\\= - 10w - \left(-10\right)\cdot \:3\\= -10w+10\cdot \:3\\-10w + 30\\= -10w + 30+4\\= -10w + 34\\8(w)-2=-10w+34\\8(w) - 2+2 =-10w+34+2\\8(w)=-10w+36\\18(w)=36\\\frac{18(w)}{18} = \frac{36}{18}\\= 2\)
Answer:w=2
Step-by-step explanation:
8w-2=-10w+30+4
8w-2=-10w+34
Add 10 w both sides
18w-2=34
add 2 both sides
18w=36
Divide by 18
W=2
What is the capacity of juice which measures 3L 9dL 3cL 9mL if it is equally divided into 3 bottles?
The division of the juice in three bottles is an illustration of quotients
The capacity of the juice is 1L 3dL 1cL 3mL
How to determine the capacity of the juiceThe size of the juice is given as:
Size = 3L 9dL 3cL 9mL
Divide each metric unit by 3, to calculate the new capacity when split into three bottles
Size = 1L 3dL 1cL 3mL
Hence, the capacity of the juice is 1L 3dL 1cL 3mL
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which measure of central tendency can be computed only from interval or ratio data? mode median mean all of these must be computed from interval or ratio data. none of these can be computed from interval or ratio data.
The mean can only be used with interval/ratio level data.
what is ratio data ?
Ratio data is a form of quantitative (numeric) data. It measures variables on a continuous scale, with an equal distance between adjacent values. While it shares these features with interval data (another type of quantitative data), a distinguishing property of ratio data is that it has a 'true zero.
What are mean , median and mode?
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
Hence, the mean can only be used with interval/ratio level data.
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Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:
3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Answer:
The answer is correct
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
3x + 12 + 2 = 2 + 5x - 20
3x + 14 = 5x - 18
-2x = -32
x = 16
HELP PLEASEEEEEEEE
Ashley's bus ride to school is 7/10 of a mile and Gavin's bus ride is 1/5 of a mile. How much longer is Ashley's bus ride than Gavin's?
FOR 3 graders learn and pay attention in class its important Ask me any multiplacation equation or time tables
Answer:
c
Step-by-step explanation:
The height of males approximates a normal distribution. The average height of the players on an NBA team is 6.6 feet with a standard deviation of 0.2 feet. If one of the players is 7.5 feet tall, how many standard deviations away from the mean is this player’s height?
A. 4.5 standard deviations below the mean
B. 0.9 standard deviations below the mean
C. 0.9 standard deviations above the mean
D. 4.5 standard deviations above the mean
Answer:
D
Step-by-step explanation:
Since the player is taller than the mean, he is some number of standard deviations above the mean.
He is (7.5-6.6)/0.2 = 4.5 standard deviations above the mean.
So, the answer is D.
which of the following questions would you use to evaluate alternatives in the third stage of the rational model of decision making?
Answer:
"What are the advantages and disadvantages of each alternative?" would be an appropriate question to evaluate alternatives in the third stage of the rational model of decision making.In the third stage, decision makers generate and evaluate alternative courses of action. They weigh the pros and cons of each alternative, considering factors such as feasibility, risks, costs, benefits, and consequences. By asking about the advantages and disadvantages of each alternative, decision makers can systematically compare and contrast their options, identify potential trade-offs, and select the best alternative based on their criteria and preferences.
hii please help i’ll give brainliest!!
Answer:
third one i think soo ( a push or pull acting on an object )
Find the constant "c" which produces a solution which also satisfies the initial condition y(8)=2 c=? The functions y=x^2+(c/x^2) are all solutions of equation: ...
The value of the constant c is -3968.
How to find the value of c?The given differential equation is\(y = x^2 + (c/x^2)\), and we need to find the value of the constant "c" such that the solution satisfies the initial condition y(8) = 2.
Substituting x = 8 into the equation, we have:
y(8) = \(8^2\) + (c/\(8^2\))
= 64 + (c/64)
To satisfy the initial condition y(8) = 2, we equate the expression above to 2:
64 + (c/64) = 2
Subtracting 64 from both sides:
c/64 = 2 - 64
c/64 = -62
To isolate "c," we multiply both sides by 64:
c = -62 * 64
c = -3968
Therefore, the value of the constant "c" that produces a solution satisfying the initial condition y(8) = 2 is c = -3968.
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what are the steps to induction nsls
These steps are often referred to as the principle of mathematical induction or PMI.
The steps for mathematical induction are:
Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.
Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.
Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.
Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.
These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.
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Find the area of quadrilateral ABCD. A. 27.28 units² B. 33.08 units² C. 28.53 units² D. 26.47 units²
Answer:
\( \boxed{ \boxed{ \bold{ \purple{ \sf{28.53 \: {units}^{2} }}}}}\)Option C is the correct option.
Step-by-step explanation:
For ABD
\( \sf{ = \frac{2.89 + 8.59 + 8.6}{2} }\)
\( \sf{ = \frac{20.08}{2} }\)
\( \sf{ = 10.04}\)
∆ ABD = \( \sf{ = \sqrt{10.04(10.04 - 2.89)(10.04 - 8.59)(10.04 - 8.6)} }\)
\( \sf{ = \sqrt{10.04 \times 7.15 \times 1.45 \times 1.44 }}\)
\( \sf{ = \sqrt{149.8891} }\)
\( \sf{ = 12.2429}\)
For ∆ ACD ,
\( \sf{s = \frac{8.6 + 4.3 + 7.58}{2} }\)
\( \sf{ = \frac{20.48}{2} }\)
\( \sf{ = 10.24}\)
∆ ACD = \( \sf{ = \sqrt{10.24(10.24 - 8.6)(10.24 - 4.3)(10.24 - 7.58} }\)
\( \sf{ \sqrt{10.24 \times 1.64 \times 5.94 \times 2.66} }\)
\( \sf{ = \sqrt{265.3456} }\)
\( \sf{ = 16.2894}\)
Area of quadrilateral ABCD = \( \sf{12.2429 + 16.2894}\)
\( \sf{ = 28.5323}\)
\( \sf{ = 28.53}\) units ²
Hope I helped!
Best regards!
At Wegmans a 12 pack of paper towels costs $15.72. At Tops a 10 pack of paper towels cost $13.35. Which store has the better buy? What is the difference in unit prices?
Answer:
Wegman's, roughly 3 cents
Step-by-step explanation:
Divide the price by the number of paper towels in the pack to get the unit price.
$15.72/12= $1.31
$13.35/10= $1.335, round since it's money, $1.34
$1.34-$1.31= $0.03 or 3 cents
Wegmans has the better buy, as their unit price is lower.
The difference in unit prices between the two stores is $0.03 per paper towel.
To determine which store has the better buy, we need to compare the unit prices of paper towels at both Wegmans and Tops.
The unit price is the cost per paper towel.
For Wegmans:
Cost of 12 pack of paper towels = $15.72
Number of paper towels in the pack = 12
Unit price at Wegmans = Total cost / Number of paper towels
Unit price at Wegmans = $15.72 / 12 = $1.31 per paper towel
For Tops:
Cost of 10 pack of paper towels = $13.35
Number of paper towels in the pack = 10
Unit price at Tops = Total cost / Number of paper towels
Unit price at Tops = $13.35 / 10 = $1.34 per paper towel
Now, we compare the unit prices:
At Wegmans, the unit price is $1.31 per paper towel.
At Tops, the unit price is $1.34 per paper towel.
The store with the lower unit price has the better buy.
In this case, Wegmans has the better buy, as their unit price is lower.
To find the difference in unit prices:
Difference in unit prices = Unit price at Tops - Unit price at Wegmans
Difference in unit prices = $1.34 - $1.31 = $0.03 per paper towel
So, the difference in unit prices between the two stores is $0.03 per paper towel.
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Solve and describe the graph of the inequality: 5x < 45
Answer:
5x<45 Divide both by five which results in the equation looking like this:x<9. On a number line, there would be an open circle on the nine and the arrow would go to the left.
Step-by-step explanation:
The solution set is x<9 of inequality 5x<45.
What is an inequality?A relationship between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.
To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
5x<45
divide by 5
x<9
The graph is the shaded region below x =9.
Therefore, the solution set is x<9. And the graph is given.
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Write an
inequality that represents the
temperatures (in degrees Fahrenheit)
of the interior of the iceberg.
-20°C to
-15°C
The inequality representation can be expressed as: -4 < x < 5
Representation of real number into inequality.An inequality is a mathematical connection that exists between two expressions and may be expressed by one of the following:
"greater than >" "less than < ""less than or not equal to ≤: "greater than or equal to" ≥:From the given expression, the conversion of °C to F is estimated by using the formula:
(°C × 9/5) + 32
For -20°C , we have:
= (-20°C × 9/5) + 32
= -4 F
For -15°C, we have:
= (-15°C × 9/5) + 32
= 5 F
Therefore, this can be represented in inequality form as: -4 < x < 5.
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