A scalar quantity known as speed is used to describe "the rate at which an item changes its position" or "the distance travelled in a unit of time." It is a way to gauge how quickly something is moving and is frequently expressed in terms of the amount of space covered in one unit of time, such as miles per hour (mph) or kilometers per hour (km/h). Speed is calculated as follows: speed = distance / time.
Step 1: To determine a car's speed, divide the distance travelled by the time required.
Step 2: In this instance, the journey took 20 minutes and covered 15 kilometers.
Step 3: Divide the number of minutes by 60 to convert it to hours. Therefore, 20 minutes equals 20/60, or 0.333 hours.
Step 4: Now divide the number of kilometers (km) travelled by the number of hours travelled (0.333 hours)
= 15 km / 0.333 hours
=45 km/h
Therefore speed of the car is 45km/hr.
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70 POINTS TRIANGLE THEOREMS Solve problem 7 & 8 for finding angle A please and show work
Answer:
I got 34 for number 8
Step-by-step explanation:
I'm not sure what number 7 is but hope this helped
(the work on top is where I started on 7)
12. two boxes contain a total of 175 screws. one box has 6 times more than the other. how many screws are in the large box? a 100 b 125 c 150 d 200
Two boxes contain a total of 175 screws. one box has 6 times more than the other. 150 screws are in the large box. So the answer is C. 150.
The given problem can be solved by using algebra. Let x be the number of screws in the smaller box. Then, the larger box has 6x screws. We know that the total number of screws in both boxes is 175, so we can set up the equation:
x + 6x = 175
7x = 175
x = 25
So, the smaller box has 25 screws and the larger box has 6x = 6(25) = 150 screws.
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What is the size of an exterior and interior angle of a regular 15 sided polygon?
The size of an exterior and interior angle of a regular 15-sided polygon is 24° and 156° respectively.
To find the size of each interior angle of a regular polygon you need to find the sum of the interior angles first.
If the number of sides is n, then the sum of the interior angles is:
S = 180 (n-2)
This formula derives from the fact that if you draw diagonals from one vertex in the polygon, the number of triangles formed will be 2 less than the number of sides. Each triangle has 180°.
This form of the formula derives from drawing triangles in the polygon by drawing lines from a central point to each vertex. In this way the number of triangles is the same as the number of sides, but the angles at the centre are not required, so 360° is subtracted.
Once you have the sum of all the interior angles you divide by the number of sides to find the size of each interior angle.
Each interior angle of a regular polygon with n sides:
θ = 180°(n-2)/n
Put n = 15
∴ θ = 180°(15-2)/15 = 156°
Each exterior angle of a regular polygon with n sides:
β = 180° - θ
Put θ = 156°
∴ β = 180° - 156° = 24°
Thus, the size of an exterior and interior angle of a regular 15-sided polygon is 24° and 156° respectively.
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ignore my dirty computer again please lol, last one help please :))
Answer: -2
Step-by-step explanation:
Let the number be w
3*(w+5) = 9
Expanding, we get 3w + 15 = 9
3w = 9 - 15 = -6
w = -6/3 = -2
| a-b | - |c + d | if a =-5, b=4.c =1, d =-3
Answer:
Step-by-step explanation:
[tex]|-5-4| - |1+-3|[/tex]
|-9| - |-2|
9-2
7
Point-slope form
Complete the point-slope equation of the line through (-2, 6) and (1, 1).
Use exact numbers.
y-6=
The point slope equation of the line from the given points (-2, 6) and
(1, 1) is 3y+5x = 8 .
What is equation of straight line ?
The equation of straight line as follows , y = mx+b .
where m is the slope .
Given ,
To find the point slope equation of the line
from the given points (-2, 6) and (1, 1).
First we have to find slope,
so slope = y2-y1 / x2-x1
This is (1-6)/(1-(-2)) = -5/3
Now that you know the slope you can use that for the point-slope equation
The point-slope equation is y-y1 = m(x-x1). If we start with y-6, the x value is -2 (from our point (-2,6)
y-6 = -5/3 (x-(-2))
y-6 = -5/3 (x+2)
3(y-6) = -5(x+2)
3y - 18 = -5x -10
3y+5x = 18-10
3y+5x = 8
Hence, The point slope equation of the line from the given points (-2, 6) and (1, 1) is 3y+5x = 8 .
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A rectangle is 10.8 meters wide and has an area of 181.44 square meters. What is the length of the rectangle?
The length of the above given rectangle is 16.8m.
Explain the shape rectangle?An enclosed 2-D form called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposing sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.A rectangle is a quadrilateral with four right angles in the Euclidean plane. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed. The area of the rectangle may be calculated as a square unit by multiplying the length and width.Given data :
area of square = 181.44 m
rectangle wide = 10.8 m
Length of the rectangle = ?
Length of the rectangle = 10.8 x _____ = 181.44
= 181.44 / 10.8 = 16.8m
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Hal’s Hardware and Sal’s Supermarket are both selling light bulbs.
Answer:
hibb
Step-by-step explanation:
kjnbbibubjkbibubjbkmbb
Answer:Hal's Hardware and Sal's Supermarket are both retail stores that sell light bulbs. Hal's Hardware specializes in hardware and home improvement items, while Sal's Supermarket is a grocery store that also sells household items. Both stores likely carry a variety of light bulb types, including incandescent, LED, and fluorescent bulbs, in different wattages and sizes. The prices and selection of light bulbs may vary between the two stores, with Hal's Hardware potentially having a wider selection and more specialized options while Sal's Supermarket may have more affordable prices.
It's also possible that Hal's Hardware would have a more knowledgeable staff that could provide customer service and technical assistance on the products, whereas Sal's Supermarket may focus more on providing a convenient shopping experience.
It's important to note that both stores are likely to have different target audiences, promotions, and sales strategies. Therefore, a consumer might want to check both stores for the best deal on the type of light bulbs they need.
Step-by-step explanation:
(complete solution) can someone help me here please thank you everyone! lovelots
Hope it helps.
If you have any query, feel free to ask.
What are the four rules of maths?
Addition, subtraction, multiplication, and division are the four fundamental mathematical operations.
Even the most complex mathematical theories use addition, subtraction, multiplication, and division. So one of the keys to developing a grasp of math, and particularly algebra, is to master them. These (and other) procedures are now easily performed thanks to electronic calculators, but these tools can also lead to a dependence that makes truly understanding mathematics challenging. Calculators can be useful for double-checking answers, but if you rely on one too much, you risk missing out on the kind of challenging mental exercises that can improve your ability to not just do math but also grasp what you are doing completely.
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Jayden is making frozen dog treats for his puppy Spot. He mixes 1 quart of yogurt, 10 fluid ounces of peanut butter, and 6 fluid ounces of honey. Then, he freezes the mixture in ice cube trays. Each tray holds 16 fluid ounces of treats. How many trays of dog treats does Jayden make?
Jaden produces four trays in total.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, Jayden is making frozen dog treats for his puppy Spot. He mixes 1 quart of yogurt, 10 fluid ounces of peanut butter, and 6 fluid ounces of honey. Then, he freezes the mixture in ice cube trays.
Since 1 quarts = 32 fluid ounces
The total quantity of a mixture (in ounces) = 32 + 10 + 6
The total quantity of a mixture (in ounces) = 48
Since Each tray holds 16 fluid ounces of treats.
Thus the total number of trays Jayden makes = 48/ 16
the total number of trays Jayden makes = 4
Therefore, the total number of trays Jaden makes is 4.
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Which expressions are equivalent to - 7z+(-2.5) + 3.5z + 4y - 1.5?
Select all that apply.
A. 4 + 4y + 3.5z
B. -3.5z + 4y -4
C. -4+4y+(-3.5z)
D. 4y-4-3.5z
E. 4y +(-3.5z)-2.5
Answer:
The answer is option B
Step-by-step explanation:
-7z - 2.5 + 3.5z + 4y - 1.5
- 3.5 z + 4y - 4 (B)
// in case you are wondering the reason i got -2.5 is + sign outside and the - sign inside = -2.5
// Basically I just combined the like terms and solved it
Shamus owes his parents $162. he pays them 60% of the $45 he earns as a soccer referee each week. how many weeks will it take Shamus to pay back all of the money he owes his parents?
HELP ITS DUE TOMORROW
Solve the system of equations using elimination.
−2x + 3y = 13
x + y = 11
(−5, 1)
(−3, 3)
(3, 8)
(4, 7)
Answer:
(4,7)
Step-by-step explanation:
-2x + 3y = 13
-3(x + y = 11)
take the whole bottom equation and multiply by -3 to eliminate the 3y
-2x + 3y = 13
-3x -3y = -33
cancel out 3y
-2x = 13
-3x = -33
add -2 to -3 and 13 to -33
to get -5x = -20
divide -5 on both sides
x = 4
then you can do the exact same steps to find the y coordinates, but if x is 4 then the coordinate point is (4,7)
A bridge connecting two cities separated by a lake has a length of 3961 miles .
Use the table of facts to find the length of the bridge in yards.
Round your answer to the nearest tenth.
If the bridge connecting two cities separated by a lake has a length of 3961 miles, using the table, the length of the bridge in yards is 6971360
How to convert miles into yards?You should understand that 3 feet makes 1 yard
The given parameter that will help us to solve the problem is
12 inches = 1 foot
3 feet = 1 yard
36 inches = 1 yard
5280 feet = 1 mile
1760 yards = 1 mile
But the given length is 3961 miles to be converted to yards
This implies that (1760 * 3961) miles will give you
6971360 yards
Conclusively, 6971360 yards make 3961 miles
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jacob and elizabeth are 210 feet apart when they begin walking directly toward one another. jacob travels at a constant speed of 2.5 feet per second and elizabeth travels at a constant speed of 4.5 feet per second. let t represent the number of seconds that have elapsed since jacob and elizabeth started walking toward one another. write an expression in terms of t that represents the number of feet jacob has traveled since he started walking toward elizabeth.
The number of feet Jacob has traveled since he started walking toward Elizabeth is 2.5t .
Let the distance between Jacob and Elizabeth is 210 feet
Distance = speed x time
Jacob is walking at the constant speed of 2.5 feet per second
and Elizabeth is walking at a constant speed of 4.5 feet per second
Let the distance traveled by jacob be x and distance traveled by Elizabeth be (210 - x)
Let t be time passed when they both started walking towards each other
So the time taken by Jacob to cover x amount of distance is t
so by formula Distance = speed x time
x = 2.5 x t
So number of feet jacob has traveled since he started walking toward elizabeth is 2.5t.
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
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HURRY Match the information on the left with the appropriate equation on the right. Ccrg
Answer:
y=3x-10 (perpendicular)
y=-3x+9 (parallel)
Step-by-step explanation:
perpendicular means that the slope is opposite, the opposite of -1/3x is 3x
to find the y intercept, you plug in the points into the equation
2=3(-4)+b
2=-12+b
-10=b
y=3x-10
parallel means that the slope is the same
you do the same thing as before
3=-3(2)+b
3=-6+b
9=b
y=-3x+9
Please help!! I’ll give brianliest!
Answer:
4/19
Step-by-step explanation:
Jar a: 3/8
Jar b: 1/11
8+11 = 19
3+1= 4
4/19
How much more would a person pay for a 4 T shirt at T shirt connection than at Al’s T shirts shops?
1.49
5.96
20.47
22.97
Answer: 5.96
Step-by-step explanation: the bottom two are too much and the first is by far too less
A trapezoid has an area of 104 square
centimeters. If one base measures 12 centimeters
and the height is 8 centimeters, what is the length of
the second base?
The formula for the area of a trapezoid is (1/2)(b1 + b2)h, where b1 and b2 are the lengths of the bases, and h is the height.
Describe the trapezoid shape.
An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
We know that the area is 104 square centimeters and the height is 8 centimeters, we can use that to find the length of the second base.
104 = (1/2)(b1 + b2) * 8
104 = (1/2)(12+b2) * 8
104 = (1/2)(12+b2) * 8
104 = 6 + 4b2
98 = 4b2
b2 = 98/4 = 24.5 cm
The second base of the trapezoid is 24.5 cm.
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How do you write a function given the vertex and a point?
The formula to write the function with vertex and point is y = a(x−h)² + k
The term function is referred as a relationship between inputs where each input is related to exactly one output and the function has a domain and codomain or range.
Here we have to write a function given the vertex and a point.
As we all know that the general form of the function is written as follows:
=> f(x) = ax² + bx + c
While in the given question, here we have the value of vertex and the point of the graph, then the general form of the equation is rewritten as, follows:
=> f(x) = a(x−h)² + k
Here the terms (h, k) refers the vertex and a refers a constant multiplier.
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Choose the most accurate relationship between ∠1 and ∠2. A horizontal line is shown with a ray extending upward from a point near the center of the line. A second line runs diagonally from the lower left to the upper right, intersecting the line at the point of origin of the upward pointing ray. The angle formed by the two lines below the horizontal line on the left is labeled 1. The angle formed just left of the horizontal line and upward pointing ray is labeled 2. The angle just right of the upward ray formed by the upward ray and diagonal line is labeled 4. The angle formed just right of the diagonal line and above the horizontal line is labeled 5. The angle formed below the horizontal line and just right of the diagonal line is labeled 6. A. adjacent B. linear pair C. supplementary D. vertical
The relation between angles ∠1 and ∠2 will be the adjacent angles. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
The property of angles are as follows:
Two angles are said to be supplementary angles if their sum is 180 degrees.When two lines intersect, then their opposite angles are equal.If the total of two angles is 180 degrees, they are said to be linear angles.In math, two points are nearby in the event that they have a typical side and a typical vertex.The relation between angles ∠1 and ∠2 will be the adjacent angles. Then the correct option is A.
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The complete question is attached below.
Algebra 1 whats number 16
Answer: A positive 18
hope this helps any
Answer:
Step-by-step explanation:
z^2 = 1
3 *1 = 3
PLUG IN:
3((-1)^2)-(3*-5)
3-(-15)
3+15= 18
The answer is A
find L on JK such that JK:JL = 4:1 if J(-3,5) and K(1,-10)
L on JK such that JK : JL = 4:1 if J(-3,5) and K(1,-10) is: [-2, 5/4]. This can be solved using the section formula.
What is section formula?In order to get the location of a point that splits a line segment connecting two points into two sections with a length ratio of m:n, the section formula is utilised. The Section formula is used in coordinate geometry to determine whether a line segment is divided internally or externally by a point. To determine a triangle's centroid, in center, and ex-center, apply this formula. It is used in physics to identify equilibrium locations, the mass center of systems, and other concepts.
JK : JL = 4 : 1
That means JL = 1 and LK = 3
Now, (x₁, y₁) = (-3, 5)
(x₂, y₂) = (1, -10)
from above data, m = 1 and n = 3
Next, applying By section formula, we get:
= [(mx₂ + nx₁)/ (m + n) , (my₂ + ny₁)/ (m + n)]
= [(1 × 1 + 3× -3)/ (1 + 3) , (1×(-10) + 3 × 5)/ (1 + 3)]
= [-8/4 , 5/4]
= [-2, 5/4]
so, L = [-2, 5/4]
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What is the average speed of a train Travelling 240 km in 4 hours?
The average speed of a train travelling 240 km in 4 hours is 60 km/h.
Distance = 240 km
Time = 4 hours
Speed = Distance/Time
Speed = 240 km/4 hours
Speed = 60 km/h
The average speed of a train is calculated by dividing the total distance travelled by the total time taken to travel that distance. In this case, the train has travelled a total distance of 240 km in 4 hours. We can calculate the average speed of the train by dividing 240 km by 4 hours. This gives us an average speed of 60 km/h. This means that the train travelled an average speed of 60 km/h for the entire journey. This speed is the average speed of the train, which means that it could have been travelling faster or slower than this at different times during the journey.
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The value of n is both 5 times as the value of m and 36 more than the value than value of m. What are the values of n and m?Explain.
The values of n and m in the expression are 45 and 9 respectively.
How to find the values of variables in equations?The value of n is both 5 times as the value of m and 36 more than the value than value of m. Therefore, the values of n and m can be found as follows:
Using equations,
n = 5m
n = 36 + m
By substitution,
5m = 36 + m
5m - m = 36
4m = 36
divide both sides by 4
m = 36 / 4
m = 9
Let's find the value of n.
n = 5(9)
n = 45
Therefore,
n = 45 and m = 9
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a coin that is cm in diameter is tossed onto a by grid of squares each having side length cm. a coin is in a winning position if no part of it touches or crosses a grid line, otherwise it is in a losing position. given that the coin lands in a random position so that no part of it is off the grid, what is the probability that it is in a winning position?
The probability that it is in a winning position will be 0.8036.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
A coin that is 2 cm in diameter is tossed onto a grid of squares each having a side length of 4 cm. A coin is in a winning position if no part of it touches or crosses a grid line, otherwise it is in a losing position.
Then the probability of winning is calculated as,
P = [a² - πd² / 4] / (a²)
P = [4² - 3.14 x 2² / 4] / (4²)
P = (16 - 3.14) / 16
P = 0.8036
The probability that it is in a winning position will be 0.8036.
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Solve the following system of equations for all three variables.
9x+4y+6z= -8
9x+4y+6z= -5
x-8y+8z= -6
There is no solution for the system of equations because the determinant of A is zero.
What are matrices?A matrix is an array of rows and columns containing numbers, symbols, or expressions that is rectangular in shape.
In linear algebra, matrices describe linear mappings and enable explicit computations. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices.
Given the equations,
9x + 4y + 6z = -8
9x + 4y + 6z = -5
x - 8y + 8z = -6
solving by matrix method,
A = [tex]\left[\begin{array}{ccc}9&4&6\\9&4&6\\1&-8&8\end{array}\right][/tex]
B = [tex]\left[\begin{array}{ccc}-8\\-5\\-6\end{array}\right][/tex]
X = [tex]\left[\begin{array}{ccc}x\\y\\z\end{array}\right][/tex]
X = A⁻¹B
for A⁻¹, calculate the determinant of A
|A| = [tex]\left|\begin{array}{ccc}9&4&6\\9&4&6\\1&-8&8\end{array}\right|[/tex]
|A| = 9(32 + 48) - 4(72 - 6) + 6(-72 - 4)
|A| = 720 - 264 - -456
|A| = 0
since |A| is zero there are no solutions for the equation.
Hence there are no solutions for a system of equations.
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What is the value of log 7 to the base 49?
The value of log_49 7 is approximately 0.1845. The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49.
log_49 7 = log(7) / log(49) = 0.1845
The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49. When this calculation is performed, the result is approximately 0.1845. This calculation can be used to determine the logarithmic value of a number to a given base. In this case, the base is 49 and the number is 7. This means that the logarithmic value of 7 to the base 49 is approximately 0.1845.
The value of log_49 7 is approximately 0.1845. The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49.
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How do you draw an inverse relation graph?
To see the points of draw an inverse graph.
Choose some points on the given relation (graph).Interchange the x and y coordinates of each point to get new points.Plot all these new points and join them by a curve which gives the graph of the inverse relationship.Now, According to the question:
Inverse Relation of a Graph
If a relation is given as a graph, then its inverse is obtained by reflecting it along the line y = x. This is because the inverse of a relation is nothing but the interchanged ordered pairs of the given relation. To graph the inverse of a relation that is given by a graph,
Choose some points on the given relation (graph).Interchange the x and y coordinates of each point to get new points.Plot all these new points and join them by a curve which gives the graph of the inverse relationship.Learn more about Inverse graph at:
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