Given data
Lenght = 4m
Breadth = 4m
The formula for the perimeter of a rectangle
\(\begin{gathered} \text{Perimeter = 2}\times\text{ Length + 2 }\times\text{ breadth} \\ =\text{ 2 }\times\text{ 4 + 2 }\times\text{ 4} \\ =\text{ 8 + 8} \\ =\text{ 16 meters} \end{gathered}\)The result of the perimeter is 16 meters (m).
Step-by-step explanation:To solve, we must first know that the perimeters in this problem should only be added to each side, which is 4, where it gives a result of 16 meters (m).
¿What are the perimeters?First of all we must know that in geometry, the perimeter is the sum of all the sides. A perimeter is a closed path that encompasses, surrounds, or skirts a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.
With this we can say that the perimeters are those that are added from each side, so, what we need to do in this problem is just just add each side, each side is four, so we can add it by 4 since it asks us for that.
\( \bold{4 + 4 + 4 + 4 = \boxed{ \bold{16m}}}\)
But we also have another step to solve this problem, which is just squaring it where it also gives us the same result, let's see:
\( \bold{2 {}^{4} = \boxed{ \bold{16 \: meters \: (m)}}}\)
So, as we see, each resolution gives us the same result, therefore, the result of the perimeter is 16 meters (m).
M < ABD = 7 0 ° m < C B D = 5 x + 1 3 ° m < ABC = 3 x + 3 3 ° find m < ABC
Answer:
x=9.25
Step-by-step explanation:
ABD + CBD + ABC + 180
70 + 5x + 13 + 3x + 33 =180
116 + 8x = 180
8x = 74
x = 9.25
why
do we use
quartz clock
Answer:
because see a time
Step-by-step explanation:
The range of which function is (2.oo)?
y = 2x
y = 2(5x)
y=5X +2
y = 5x + 2
Answer: \(y = 5^x+2\)
The 2 is not in the exponent.
=====================================================
Explanation:
As x gets smaller and smaller, going off into the negative direction forever, the expression \(5^x\) will approach 0. This is because we're computing stuff like 5^(-1) = 1/5 = 0.2 and 5^(-2) = 1/25 = 0.04 and so on. The decimal values are approaching 0 but never actually arrive there. The range of \(y = 5^x\) is \((0,\infty)\)
Adding on the 2 at the end will shift everything up so that the range is now \((2,\infty)\). Refer to the graph below.
The parenthesis in interval notation mean we do not include that endpoint as part of the set. Saying something like \((2,\infty)\) is the same as saying \(2 < y <\infty\) when talking about the range.
Challenge Anyone?......
Answer:
0.2 [or 2/10 ; or 1/5]
Step-by-step explanation:
100x = 1/10×200
100x = 20
÷100 ÷100
x = 0.2
check:
100 × 0.2 = 20
1/10 × 200 = 20
20 = 20
[true statement]
(Or, you know that 100 is half of 200, and to get from 100 to 200 we had to multiply by 2, and that 100 x 2/10 will be equal; this is harder to word though)
A ribbon is 18in long. Convert the length to feet.
Answer:
1.5 feet
Step-by-step explanation:
1 feet = 12 inches
18 inches --> x feet
18/12 = 1.5 feet
Answer:
1.5 feet
Step-by-step explanation:
12 inches in 1 foot 12/18= 1.6 So 1 foot and 6 inches or 1.5 feet
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
What is the sum of the interior angles of the polygon below?
Answer:
540
Step-by-step explanation:
you can draw 5 triangles from the center...
5*180-360 = 540
PLEASE HELP!!!!
Find the greatest common factor. 5x^2a+5xa^2
The greatest common factor of the expression 5x²a + 5xa² is 5xa
How to find greatest common factor of 5x²a + 5xa²?To find the greatest common factor (GCF) of the expression 5x²a + 5xa², we need to find the greatest term that can divide into both terms in the expression.
In this case, the GCF is 5xa, as it can divide into both 5x²a and 5xa².
We can check this by dividing both terms with 5xa:
5x²a + 5xa² = (5xa)(x) + (5xa)(a) = 5xa (x + a)
Thus, the GCF of 5x²a + 5xa² is 5xa.
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If the median is 3.5, we can assume the mean is ____________than 3.5
We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
What is mean?The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.
According to question:We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.
For example, consider the following two data sets:
Set 1 data: 1, 2, 3, 4, and 5.
The median is 3.
The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.
Data set 2: 1, 2, 3, 4, 10
The median is 3.
The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.
In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.
Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
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Find the x and y intercepts of 4x - 5y = 40
Is this correct and can someone explain why??
Answer:
no, the correct answer is D.
Step-by-step explanation:
for the x-intercept you would first add 5y to both sides giving you 4x=5y+40. then you would divide both sides by 4, so the final equation would be x=5/4y+10.
for the y-intercept you would subtract 4x from both sides, making -5y=-4x+40. then you would divide both sides by -5, making the final equation y=4/5x-8.
Which equation represents the line that passes through the point (4, -5) and is
perpendicular to the line x + 2y = 5?
А
x - 2y = -14
B
x + 2y = -6
C 2x + y = 3
D
2x - y = 13
Answer:
D. 2x - y = 13
Step-by-step explanation:
We are given the line x + 2y =5
We want to find the equation that is perpendicular to this line, and that also passes through (4, -5)
Perpendicular lines have slopes that multiply to -1
First, let's find the slope of the line
The line is currently in standard form (ax+by=c), which doesn't show the slope; we can convert this line into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
To do that, we will need to solve the equation for y
Here it is:
x + 2y = 5
Subtract x from both sides
2y = -x + 5
Divide both sides by 2
y = -1/2x + 5/2
The slope of the line is -1/2
Now, to find the slope of the line perpendicular to it, use this equation:
-1/2m = -1
Multiply both sides by -2
m = 2
The slope of the line perpendicular to it is 2
Here is the equation of the line so far in slope-intercept form
y = 2x + b
We need to find b
As the equation passes through the point (4, -5), we can use it to help solve for b.
Substitute 4 as x and -5 as y.
-5 = 2(4) + b
Multiply
-5 = 8 + b
Subtract 8 from both sides
-13 = b
This is our line:
y = 2x - 13
Even though this is in slope-intercept form, all of the options in your question are in standard form. Ergo, we must convert the line into standard form.
To do this, we can subtract 2x from both sides, as in standard form, x and y are on the same side
-2x + y = -13
Now multiply both sides by -1
2x - y = 13
This makes the answer D.
(SAT Prep) Find the value of x.
x 105 35
Angles in a triangle add up to 180 degrees
The value of x is 85 degrees
What is triangle?A triangle is a polygon which has three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.
here, we have,
How to determine the value of x
The total sum of angles for a triangle is 180 degrees.
So, we have:
x + 35 + 60 = 180
Evaluate the sum
x + 95= 180
Subtract 95 from both sides
x = 85
Hence, the value of x is 85 degrees
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Full question: (SAT Prep) Find the value of x. 35° 60° X
x=?
What are the polar coordinates of the point P shown below?
Select the correct answer below:
(5,5π4)
(4,−5π4)
(5,7π4)
(4,5π4)
(4,7π4)
(5,−5π4)
Answer:(4,5π/4)
Step-by-step explanation:
Note that the point is on the circle whose radius is labeled 4, so r=4. The angle of the point is 5π4, so θ=5π4. Thus, the polar coordinates are (4,5π4).
What is the sum of the angle measures in this shape?
Due to this being a quadrilateral, if you memorized this, it would be 360 degrees.
But if you didn't and you know the formula, 180(n-2)= sum of all angles in nth sided shape, you can use that.
=180(4-2)
=180(2)
=360 degrees
I hope this helps!
You say goodbye to your friend at the intersection of two perpendicular roads. At time t=0 you drive off North at a (constant) speed v and your friend drives West at a (constant) speed w. You badly want to know: how fast is the distance between you and your friend increasing at time t? Enter here the derivative of the distance from your friend with respect to t: __________. Being scientifically minded you ask yourself how does the speed of separation change with time. In other words, what is the second derivative of the distance between you and your friend? __________. Suppose that after your friend takes off (at time t=0) you linger for an hour to contemplate the spot on which your friend was standing. After that hour you drive off too (to the North). How fast is the distance between you and your friend increasing at time t (greater than one hour)? __________. Again, you ask what is the second derivative of your separation: ____________.
Answer:
Let x be the distance traveled by you to the north and y be the distance traveled by your friend to the west. Let d be the distance between you and your friend at time t. Then, we have:
d^2 = x^2 + y^2
Taking the derivative of both sides with respect to time, we get:
2d (dd/dt) = 2x(dx/dt) + 2y(dy/dt)
Simplifying this expression, we get:
dd/dt = (x(dx/dt) + y(dy/dt)) / d
Since you are driving north at a constant speed v and your friend is driving west at a constant speed w, we have:
dx/dt = v and dy/dt = -w
Substituting these values and simplifying, we get:
dd/dt = (v^2 + w^2)^0.5
Therefore, the speed of separation between you and your friend at time t is the square root of the sum of the squares of your speeds.
To find the second derivative of the distance between you and your friend, we take the derivative of dd/dt with respect to time:
d^2d/dt^2 = (v dv/dt + w dw/dt) / (v^2 + w^2)^0.5
Since v and w are constant, their derivatives with respect to time are zero, so the second derivative of the distance between you and your friend is zero.
Suppose you wait for an hour (i.e., t = 1 hour) before driving off to the north. Then, at time t > 1 hour, the distance between you and your friend is given by:
d = (vt)^2 + ((t-1)w)^2)^0.5
Taking the derivative of both sides with respect to time, we get:
dd/dt = 2v^2t / (2((vt)^2 + ((t-1)w)^2)^0.5)
Simplifying this expression, we get:
dd/dt = v / ((v^2 + ((t-1)w)^2)^0.5)
Therefore, the speed of separation between you and your friend at time t (greater than one hour) is given by v divided by the square root of the sum of the squares of your speed and your friend's speed.
The second derivative of the distance between you and your friend is given by:
d^2d/dt^2 = -vw(t-1) / ((v^2 + ((t-1)w)^2)^1.5)
When a projectile is launched at an initial height of H feet above the ground at an angle of theta with the horizontal and initial velocity is Vo feet per second. the path of the projectile...
Given,
The initial height of H feet.
The initial velocity of the object is Vo.
The equation of the path of projectile is,
\(y=h+x\text{ tan }\theta-\frac{x^2}{2V_0\cos ^2\theta}_{}\text{ }\)This is the expression of the projectle path.
Hence, the path of the projectile object is y = h + xtan(theta) - x²/2V₀²cos²(theta)
If (x + 4) is a factor of f(x), which of the following must be true?
Group of answer choices
f(-4) = 0
Neither x = -4 nor x = 4 are roots of f(x).
Both x = -4 and x = 4 are roots of f(x).
f(4) = 0
5th grade math. Correct answer will be marked brainliest.
Answer:
0.065
Step-by-step explanation:
64.9 / 1000 = 0.0649 --> 0.065
Answer:
15.406 kg of sugar per muffin. Just have to divide 1,000 by 64.9
Step-by-step explanation:
Which of the following is a true statement of the figure?
An image of a triangle ABC. The angle bisector of angle B is ray BD. Point D lies on side AC.
Question 1 options:
A
D
D
C
=
D
C
C
B
A
C
A
B
=
D
B
D
C
A
D
D
C
=
A
B
C
B
B
C
B
A
=
D
C
C
B
Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
Ray BE is a bisector of angle CBA,
∠CBE = ∠EBA = 60°
∠EBD = ∠EBA - ∠DBA
∠EBD = 60 - 30 = 30
So,
∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]
Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which of the following statements is true if ray BE is a bisector of angle CBA?
A. Ray BD is a bisector of angle CBA.
B. ∠EBD is congruent to ∠CBE.
C. Ray BE is a bisector of angle ABE.
D. ∠EBD is congruent to ∠DBA.
50 point question Solve quick i will give branliest
Answer:
17
Step-by-step explanation:
x + 100 = 4x + 49
100 - 49 = 3x
3x = 51
x = 17
the zeros of f(x)=20x^2 - 19x + 3
The quadratic function's zeros are therefore \(x = 1\) and \(x = 0.2\) . A degree two polynomial in one or so more variables that is a quadratic function.
What ways in which quadratic function be recognized?Three points are used to determine a quadratic function, which has the form \(f(x) = ax2 Plus bx + c.\)
\(Sqrt(b2 - 4ac) = [-b sqrt(b)]\) Where the quadratic function's coefficients are a, b, and c.
Here, \(a = 20\) , \(b = -19\) , & \(c = 3\) . We obtain the quadratic formula by substituting these values: \(x = [-(-19) sqrt((-19)2 - 4(20)(3)] / 2(20) (20)\)
When we condense this phrase, we get:
\(x = [19 +/- sqrt(361 - 240)] / 40 x = [19 +/- sqrt(121)] / 40\sx = [19 ± 11] / 40\)
Therefore, The zeros of a quadratic equation \(f(x) = 20x2 - 19x + 3\) are as follows: \(x = (19 Plus 11) / 40 = 1 and x = (19 − 11) / 40 = 0.2.\)
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To raise money for a trip, a sixth grade class is selling ballpoint pens. The class wants to sell 1,000 pens. The class has 8 boxes with 92 pens in each box. If they sell all of the pens in these boxes, how many more pens do they still need to sell to reach their goal?
Answer:
264 more pens
Step-by-step explanation:
92 x 8 = 736
1000 - 736 = 264
What are the coordinates of the point on the directed line segment from ( − 7 , 9 ) (−7,9) to ( 3 , − 1 ) (3,−1) that partitions the segment into a ratio of 2 to 3?
The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).
To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.
Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:
x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3
Similarly, the y-coordinate of the point is given by:
y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5
Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).
To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).
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Bradly can earn extra money by mowing lawns. His neighbors will pay him 3.00 for each lawn that takes him 3/4 of an hour. What is the amount of time in extra hours, that Bradley would have to spend mowing lawns to be able to buy a second $48 ticket for his brother.
Time for which Bradly has to mow lawns to get $48:
We know that Bradly earn $3 every 3/4 hours of mowing lawns
Time taken by Bradly to get $1:
time taken by Bradly to get $1 = time taken to get $3 / $3
time taken = (3/4) / 3
time taken = 1/4 hours / dollar
Time taken by Bradly to get $48:
Time taken to get $48 = time taken to get $1 * 48
Time taken to get $48 = 1/4 * 48
Time taken = 12 hours
Therefore, after 12 hours of Mowing lawns, Bradly will have $48
At a store, the price per pound of heart candies (h) is 30 cents more than three times the price per pound of jelly beans (j). The equation that represents the price of heart candies to the price of
jelly beans, in cents, is
Answer:
Step-by-step explanation:
h = 3x + 30
The equation representing price of heart candies to price of jelly beans is h = 30 + 3j.
It is given that price per pound of heart candies (h) is equal to 30 cents more than three times the price per pound of jelly beans (j).
We have to find out the equation which represent above statement.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
Jelly beans are represented by j and heart candies by h.
And given ;
h is equal to 30 cent more than three times of j
i.e.,
h = 30 + 3 × j
or
h = 30 + 3j cents
Thus , the equation representing price of heart candies to price of
jelly beans is h = 30 + 3j.
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Are the triangles pictured below similar?
Answer:The anwser is yes
Step-by-step explanation: As you can see both triangles look the same if you flip them around but ones smaller so its not congruent. That is why they are simeler its like a p and a q just flip the q and you have a p. hope it helps. :p
Please help I will give points
Find the unit rate.
3
1
4
gallon for every
mile
10
The unit rate is
gallon :
mile.
Answer:
22/40
Step-by-step explanation:
find the equivalent ratio of 4 and 10 and it is 40 so the then you multiply 4 times 10 and 10 times 4 then you multiply 1x10 and 10x4 so now your new problem will be
10/40+12/40 which is 22/40=1 8/15
The Haddads expected the automatic withdrawal of their gas bill to
be more than last month's bill of $215.85, but did not know by how much. Their
account showed a previous balance of $417.80, $350.00 in deposited checks,
an automatic deposit of $150.00, and $5.25 in interest. If the Haddads' present
balance is $555.82, by how much did this month's gas bill exceed last month's bill?
The gas bill exceeded $87 from last month to this month.
What is simple interest?We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Given, The Haddad expected the automatic withdrawal of their gas bill to
be more than last month's bill of $215.85 but did not know by how much.
Their account showed a previous balance of $417.80, $350.00 in deposited checks, and an automatic deposit of $150.00.
∴ Their current balance is (417.80 + 250 + 150) = $817.8 and $5.25 in interest which is (105/100)×$817.7 = $858.69.
Haddads' present balance is $555.82,
∴ The gas bill is $(858.69 - 555.82) = $302.87.
So the gas bill s exceeded by $(302.87 - 215.85) = $87.
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The basic rate pay is K8.20. If the overtime is paid at time-and-a-quarter, what is the overtime rate of pay?
The overtime rate of pay is K10.25.
The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.
To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.
By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.
Therefore, the overtime rate of pay is K10.25.
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