Answer:
the base is 5 meters long.
Step-by-step explanation:
To find the a missing side when given the area you have to multiply the area by 2 which in this case would be 50 so 50/10 would be 5m which is your answer.
So the right answer is 5m
Please see the attached picture for full solution
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Good luck on your assignment..
Explain to me in words how you would find the slope of this line and explain answer
there are 538 jelly beans in a bowl hector and Michael decided to share the jelly beans how many jelly beans do Michael and hector get? Their mom tells them they can not eat all the jelly beans at once. They can each eat an equal amount of jelly beans for four days. How many jelly beans do hector and Michael eat each day for four days
Answer:
67.25
Step-by-step explanation:
Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25
Identify which is a function and which are not
Answer:(5,4) , (4,-2) , (-1,0) , (-2,-4)
Step-by-step explanation: Each input can only have one output
if a/b and c/d are rational expressions, then a/b•c/d=a•c/b•d
true or false?
someone do both of them for me
Answer:
2x > x
21x < 80
Step-by-step explanation:
Please mark as Brainliest!!!In need of help!! Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation is accurate. A line's slope and y-intercept are expressed in the form y is mx + c, where m is the slope and c is the y-intercept.
What does a line's slope-intercept form look like?A line's slope and y-intercept are expressed in the form y = mx + c, where m is the slope and c is the y-intercept.
y = (3/2)x + 1 is the given equation for the line.
Add x = 0 to the above equation, y = (3/2)(0) + 1 y = 1, to determine the line's y-intercept.
Take note that the line's graph's y-intercept is also 1.
The line's graph includes points (2,4).
Put the coordinates of the location into the above equation to see if it matches the coordinates of (2,4) or not:
4 = (3/2)(2) + 1
4 =4
The equation is accurate.
Consequently, it can be claimed that the following equation reflects the graph.
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what is the difference between -15-9?
Answer:
Step-by-step explanation:
-15-9 = -24
I would think about it as adding 15 and 9, but just make the answer negative.
Find the values of x,y, and z in the triangle to the right. Help is very appreciated! :)
a diver dove to a location 6 3/5 meters below sea level. He then dove to a second location 8 1/5 meters below sea level. How many meters are there between the two locations?
Answer:
\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.
Step-by-step explanation:
find the h.c.f of 2⁴×3×5²×7,5²×3²×5
Answer:
To find the HCF we multiply the numbers in the overlapping quadrant together:
Step-by-step explanation:
The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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A car going south 35 mi/hr speeds up when the speed limit changes. It takes 0.05 hours to accelerate at a rate of 200 mi/hr2. What is the car’s final velocity?
a)The value of acceleration will be 4.8 m/s²
b)The total distance travelled is 505 m.
a) As all the movement happens along a straight line, we need to define an axis only, which we call x-axis, being the positive direction the one followed by the car.
We can choose to place our origin at the location where the motorcycle was stopped at the side of the road (assuming that it is the same point for the car when it passes him), so our initial position is 0.
We can also choose our time origin to be the same as the instant that the motorcycle starts from rest, so t₀ = 0.
With these assumptions, and assuming also that the acceleration is constant, we can write two equations, one for the car (at constant speed) and the another one for the motorcycle, as follows:
xc = vx*t
xm= 1/2*a*t²
When the motorcycle passes the car, both distances traveled from the origin will be equal each other, i.e., xc = xm :
⇒ vx*t = 1/2*a*t²
We have as givens vx=35 m/s and t = 14.5 sec when both equations are equal each other.
⇒ 35 m/s* 14.5 s = 1/2*a*(14.5)²(s)²
Solving for a:
a = (2* 35 m/s) / 14.5 s = 4.8 m/s²
b) Replacing the value of a in the equation for xm, we have:
xm = 1/2*4.8 m/s²* (14.5)²s² = 505 m.
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1 Devin brings 7 dolls to her grandma's house. These dolls represent 20% of Devin's doll collection. What is the total number of dolls in Anita's doll collection? Show vour answer by doing a double number line or a table.
Answer:
35
Step-by-step explanation:
20% * x = 7
20/100 * x= 7
x = 7 *100/20 (7*100÷20)
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
The x -intercept is
.
The y -intercept is
.
Answer:
x -intercept is 4
y -intercept is -2
Step-by-step explanation:
SOLUTION:
(x -intercept)
-4x+8y= -16
-4x+8×0= -16
-4x+0= -16
-4x/-4 = -16/-4 (divide both sides by -4)
x=4
______________________
(y -intercept)
-4x+8y= -16
-4×0+8y= -16
0+8y= -16
8y/8 = -16/8 (divide both sides by 8)
y= -2
•| HOPE IT HELPS |•
Arnav knows that (3,4,5) and (5,12,13) are pythagorean triples. He wants to show that (15,20,25) is also a pythagorean triple. Besides using the converse of the pythagorean theorem, is there another way Arnav can show that (15,20,25) is a pythagorean triple?
Answer:
easy do you want to get (15,20,25) from (3,4,5)and from(5,12,13)
Step-by-step explanation:
Arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.
What are similar figures?Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
M = k × L unitswhere 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
We're given that:
(3,4,5) is a pythagorean triple.
Let ABC be a right angled triangle possessing those sides (as the side lengths of a right angled triangle form pythagorean triple).
Scale each side of ABC by scale factor of 5, then we get:
(15, 20, 25) as a triple.
When scaling a figure, angles in it doesn't change because of angle being a relative quantity, not depending on the length of sides, but on the degree of rotation between two sides, which is unaffected because of scaling.
That means, that right angled triangle ABC, when scaled is still right angled triangle (because of its one of the angle 90 degrees still being 90 degrees in the new scaled triangle), but its sides are (15,20,25).
Now, since the triple (15,20,25) is side lengths of a right angled triangle, therefore, it is a pythagorean triple.
Thus, arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.
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Determine the value of x 4/5(x+9) - 1/5x=3/5(x+12)
Answer:
infinite number of solutions
Step-by-step explanation:
\(\frac{4}{5}\) (x + 9) - \(\frac{1}{5}\) x = \(\frac{3}{5}\) (x + 12)
multiply through by 5 to clear the fractions
4(x + 9) - x = 3(x + 12) ← distribute parenthesis on both sides
4x + 36 - x = 3x + 36
3x + 36 = 3x + 36
since both sides are the same then any value of x will make the equation true.
Thus there are an infinite number of solutions
During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T shirt is launched from a heigh of 4 feet with an initial upward velocity of 72 feet per second. Use the equation h(t)= -16t^2+72t+4, where t is time in seconds and h(t) is height. How long will it take the T shirt to reach its maximum height? What is the maximum height?
During halftime of a basketball game, a slingshot launches T-shirts at the crowd.
it takes the T-shirt 9/4 secondsThe maximum height of the T-shirt is 77 feet.What is the maximum height?
Generally, To find the time it takes the T-shirt to reach its maximum height, we need to find the time when the height of the T-shirt stops increasing and starts decreasing. At this point, the velocity of the T-shirt will be 0, since it is not moving up or down.
The velocity of the T-shirt at any time t can be found by taking the derivative of the equation for height:
v(t) = dh/dt = -32t + 72
Setting the velocity to 0 and solving for t, we get:
0 = -32t + 72 32t = 72 t = 72/32 t = 9/4
So it takes the T-shirt 9/4 seconds, or approximately 2.25 seconds, to reach its maximum height.
To find the maximum height, we plug this value back into the equation for height:
h(t) = -16(9/4)^2 + 72(9/4) + 4 h(t) = -81 + 162 + 4 h(t) = 77
The maximum height of the T-shirt is 77 feet.
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Edgar has 20 dimes and nickels,all together sum up to $1.40.what does each one of them cost?
Answer:Edgar has 12 nickles and 8 dimes.
Step-by-step explanation:
part b - find the internal axial force in each bar segment using the answer for the support reaction at a determ
As per the axial force, the support reaction at A is equal in magnitude to the axial force that is applied at the other end of the bar.
To determine the support reaction at A, we will draw a free-body diagram of the bar.
Since the bar is fixed at A, the support reaction at that end will be a vertical force, and we will label it as RA.
Using Newton's second law of motion, we can write the equation of equilibrium for the bar in the vertical direction:
ΣFy = 0
where ΣFy is the sum of all the forces in the vertical direction. Since there are only two forces acting on the bar, the axial force and the support reaction, we can write:
-FA + RA = 0
where FA is the axial force that is applied at one end, and RA is the support reaction at the other end.
From this equation, we can solve for RA:
RA = FA
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Complete Question:
Determine the support reaction at A
The axially loaded bar is fixed at A and loaded as shown. Draw a free-body diagram and determine the support reaction at A.
12(x-2×4-2x-5)
Solve...
Answer:
=−12x−156
Step-by-step explanation:
=(12)(x+−8+−2x+−5)
=(12)(x)+(12)(−8)+(12)(−2x)+(12)(−5)
=12x−96−24x−60
=−12x−156
Step-by-step explanation:
= 12(x - 8 -2x - 5)
= 12(-x - 13)
= -12x - 156
please give me a brainliest answer
what is the unit rate of 56 ounces for every 2 cans
Answer:
26 ounces per can
Step-by-step explanation:
28 is the unit rate of 56 ounces for every 2 cans
What is Division?
A division is a process of splitting a specific amount into equal parts.
A unit rate means a rate for one of something.
We need to find the unit rate of 56 ounces for every 2 cans
To do this we need to divide Fifty six ounces with two.
56/2
Fifty six divided by two.
We get Twenty eight.
Hence 28 is the unit rate of 56 ounces for every 2 cans
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how to divide −6x2−3x+12 by 3x−3.
solve -6x2-3x+12 dived by 3x-3 using pemdas
Step-by-step explanation:
The question is how to divide this this is how to solve it
please help me please
Answer:
Accelerate
Step-by-step explanation:
It just feels right!
Have a nice day! (ノ◕ヮ◕)ノ*:・゚✧
( ゚д゚)つ Bye
Jane took 10 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day at the same boat speed took her 5 min. If the current in that part of the river is 10 km per hr, what was her boat speed in still water?
Answer: B = 15 kph or 15 kph
step by step
(b-5)*10=(b+5)*5
10b-50=5b+25
5b=75
b=15 kph in still water
A ladder is leaning against a building, forming a 70° angle with the ground: The base of the ladder is 8.2 ft from the base of the
building.
What is the length of the ladder?
Round your answer to the nearest tenth of a foot.
22.5 ft
24.0 ft
28.0 ft
28.7 ft
The length of the ladder that is leaning on the building would be = 24ft. That is option B.
How to determine the length of the ladder?To determine the length of the ladder, the sine rule needs to be obeyed. That is
= a/sinA = b/sinB
Where;
a = 8.2 ft
A = 180-( 70+90
= 180- 160
= 20°
b = X
B = 90°
That is;
8.2/sin20° = b/sin90°
Make b the subject of formula;
b = 8.2×1/0.342020
= 23.9
= 24 ft
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A shipping crate has the dimensions shown in the figure below.
What is the volume of the crate?
Rectangular prism with length as 15 feet, breadth as 3 feet and height as 7 feet.
A. 25 cubic feet
B. 52 cubic feet
C. 315 cubic feet
D. 450 cubic feet
Answer: c
Hope I helped
the following pair of triangles are similar. find the value of x 10 x x+2 x+14
The numerical value of x in the similar pair of triangle is 10.
What is the numerical value of x?A ratio is simply the relation between two amounts showing how many times a value is contained within another value.
From the diagram,
Side A of the small triangle = 10
Side B of the small triangle = x + 2
Side A of the Big triangle = 10 + x
Side B of the big triangle = x + 14
Hence;
Ratio of Side A to Side B of the small triangle = 10 / x + 2
Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14
Since the triangle area similar, equate the two ratio and solve for x.
10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )
Cross multiply
10( x + 14 ) = ( 10 + x )( x + 2 )
Expand using FOIL method
10x + 140 = 10x + 20 + x² + 2x
10x + 140 = x² + 12x + 20
x² + 12x + 20 = 10x + 140
x² + 12x + 20 - 10x - 140 = 0
x² + 2x - 120 = 0
Factor the left side of the equation
( x - 10 )( x + 12 ) = 0
Hence;
x - 10 = 0 and x + 12 = 0
x = 10 and x = -12
Since the dimension of the triangle cannot be negative,
x = 10
Therefore, the value of x is 10.
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cans someone please help me out? i will give brainliest
Answer:
okay
Step-by-step explanation:
sure how can I help?
Answer:
vectors are orthogonal
Step-by-step explanation:
If 2 vectors are orthogonal then their dot product = 0
u • v
= (i - j ) • (i + j )
= (1 × 1 ) + (- 1 × 1 )
= 1 + (- 1)
= 1 - 1
= 0
Since dot product is zero then the vectors are orthogonal
Need help with question attached below in an image.
We can apply the order of four transformations to the graph of f(x) in order to sketch the graph of g(x): A 3-unit horizontal shift to the left : The graph becomes f(x-3 ) as a result, with a vertical asymptote at x = 0 rather than x = 3.
A ( -2 ) stretch in the vertical direction: The graph is now -2f(x-3), with a slope of -2 for x greater than 3 and 2 for x less than 3.An observation regarding the x-axis: The graph is now -2|f(x-3)|, which is the x-axis-reflecting graph of f(x-3) as a result of this change.A shift up one unit in the vertical: The result of this transformation is the final graph of g(x) = -2|x-3|+1, which is -2|f(x-3)|+1.2. To move from f(x) to g(x), four transformations are used:
A three-unit horizontal shift to the left: The graph thus shifts by a factor of -2 three units in the direction of the left A vertical stretch.
How does one plot a graph?You must first define the function and its domain before you can plot its graph. We can begin by sketching the piecewise linear graph of f(x) = |x|, which has a slope of 1 for x greater than 0 and -1 for x less than 0 in order to sketch the graph of g(x) = -2|x-3|+1. The vertical asymptote is shown by the x axis. For all real numbers, the definition of the f(x) graph exists.
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Assume that random guesses are made for multiple-choice questions on a test with choices for each question, so that there are n trials, each with probability of success (correct) given by p. Find the probability of no correct answers
Complete Question
Assume that random guesses are made for 7 multiple-choice questions on a test with 5 choices for each question, so that there are n=7 trials, each with probability of success (correct) given by p=0.20. Find the probability of no correct answers.
Answer:
The probability is \(P(X = 0 ) = 0.210\)
Step-by-step explanation:
From the question we are told that
The number of trial is n = 7
The probability of success is p = 0.20
Generally the probability of failure is
\(q = 1- 0.20\)
\(q = 0.80\)
Given that this choices follow a binomial distribution as there is only two probabilities i.e success or failure
Then the probability is mathematically represented as
\(P(X = 0 ) = \left n} \atop {}} \right. C_0 * p^{0} * q^{n- 0}\)
\(P(X = 0 ) = \left 7} \atop {}} \right. C_0 * (0.2)^{0} * (0.8)^{7- 0}\)
Here \(\left 7} \atop {}} \right. C_0 = 1\)
=> \(P(X = 0 ) = 1 * 1* (0.8)^{7- 0}\)
=> \(P(X = 0 ) = 0.210\)