The length and width of the rectangle will be 2 and 8x + 12
Area of rectangle = 16x + 24.
A rectangle is a four-sided geometric shape having opposite sides that are equal in length and four right angles. The length and width of the rectangle are its opposing sides.
A rectangle's area is found by multiplying its length and width together, so:
Area = length x width
Calculating the length and width of the rectangle -
Factoring out 2 from the equation -
Therefore -
2 (8x+12)
Since, the area is the length times width, thus -
2 x (8x+12)
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ES = ___ units
Round your answer to the nearest tenth.
Answer:
15
Step-by-step explanation:
In order to summarize qualitative data, a useful tool is a____________.
A) histogram
B) stem-and-leaf diagram
C) scattergram
D) frequency distribution
A (A) histogram is a useful tool for condensing qualitative data.
What is a histogram?An effective tool for summarizing qualitative data is a histogram.
The distribution of numerical data is roughly depicted by a histogram.
Karl Pearson was the person who first coined the phrase.
The first stage in creating a histogram is to "bin" (or "bucket") the range of values, divide it into a series of intervals, and then count the number of values that fall into each interval.
The bins are often defined as a series of discrete intervals that don't overlap.
The bins (intervals) must be close together and frequently, though not always, have the same size.
Therefore, a (A) histogram is a useful tool for condensing qualitative data.
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What is median if it’s 29,8,11,29,29,6,49 if the mean is 23
b. The original amount on the gift card was $200. Does Arleen have
enough left on the card to buy a
wheelbarrow for $50? Explain.
Answer:
Yes
Step-by-step explanation:
If there was 200 hundred dollars just subtract 50 dollars if there is still money then yes.
Answer: yes
Step-by-step explanation:
200-50=159
Which is the dependent and which is independent please no links will give brainliest
Jon wanted to solve this problem: Given that sin 0=1/4, what is the value of cos 0? What did he do wrong?
Answer:
Step 2 is wrong
Step-by-step explanation:
[tex](Sin Ф )^{2}[/tex]= [tex](1/4)^{2}[/tex] = 1/16
A pole that is 3.2 m tall casts a shadow that is 1.32 m long. At the same , a nearby tower casts a shadow that is 46.75 m long. How tall is the tower? Round your answer to the nearest meter.
Answer:
The tower is 113 meters.
Step-by-step explanation:
We are given a pole and a tower that both create a shadow.
Hence, the figures made are triangles.
If you draw the figure (attached to this response), you can see the two triangles are similar triangles.
⭐What are similar triangles?
two triangles whose corresponding side lengths are proportional and have the same shapeStrategycreate a proportion of the ratios of the corresponding side lengthssolve for the length of the towerCreate a ratio for the corresponding side lengthsThe length of the height of the pole (3.2) corresponds to the length of the height of the tower (x).
The length of the shadow of the pole (1.32) corresponds to the length of the shadow of the tower (46.75).
Therefore, our two ratios are:
[tex]\frac{3.2}{x}[/tex] and [tex]\frac{1.32}{46.75}[/tex]
Create a proportion for the corresponding side lengthsA proportion is when you set two ratios equal to each other:
[tex]\frac{3.2}{x} = \frac{1.32}{46.75}[/tex]
Solve for the length of the tower (x)To solve for x, cross multiply by multiplying the opposite parts of the fraction together.
[tex]\frac{3.2}{x} = \frac{1.32}{46.75}\\46.75(3.2) = 1.32x\\149.6 = 1.32x\\\\113 = x[/tex]
∴ The tower is 113 meters tall!
if this response helped you, please mark it the "brainliest" :)
Who is restaurant had a higher Q1?
Answer: Sophie's
Step-by-step explanation:
Q1 is the second point.
Find the value of x in the following equation:
3.5(5x + 4) = 17.5x + 14
No solution
Infinite solutions
x = 0
x = 1.3
The system of equations .5(5x + 4) = 17.5x + 14 have Infinite solutions.
What are simultaneous equations?We know two simultaneous equations have a unique solution when they intersect at a point,
when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.
Given, A system of equation 3.5(5x + 4) = 17.5x + 14.
17.5x + 14 = 17.5x + 14.
As the LSH and RHS are equal the equation of the two lines is the same and hence they coincide and have an infinite number of solutions.
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please help me on this
Answer:
80mm
Step-by-step explanation:
According to Pythagorean theorem :
a² + b² = c²
=> a² + (60)² = (100)²
=> a² + 3600 = 10000
=> a² = 10000 - 3600
=> a² = 6400
=> a = √(6400)
=> a = 80
I HOPE THIS ANSWER HELPS ヾ(＾-＾)ノIf there are 30 adults at a party and 21 kids at a party what is the fraction of adults at the party
Answer:
i think its 70 percent maybe
Answer:
72 fraction if polygon are expectations but when you divide it it will sepetate to 70 and add the 2 angles so it would be (72)
Step-by-step explanation:
HOPE IT HELPS!!
Is there an AAA similarity?
The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that "If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or percentage) and consequently the two triangles are similar".
A triangle is a closed two-dimensional shape or polygon with the fewest sides in mathematics. A triangle is made up of three sides and three angles. The most significant attribute of a triangle is that the sum of its internal angles equals 180°.
Conditions for Triangle Similarity
If the corresponding angles of two triangles are identical, they are said to be comparable triangles.
If their respective sides have the same proportion/ratio.
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Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction
The required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
The figure of the triangle is not given the quesiton, An figure is attached after the solution regarding the solution,
From diagram,
Consider the triangle RST and triangle VUT
ST/UT = 2
∠S = ∠U both are of 90°
RS/VU = 2.
So, triangles are similar by the SAS similarity theorem.
Thus, the required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.
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Let U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50} A = {5, 10, 15, 20, 25} B = {25, 30, 35, 40, 45} C = {10, 20, 30, 40, 50} Find A∪B
Answer:
A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}
Step-by-step explanation:
A = {5, 10, 15, 20, 25}
B = {25, 30, 35, 40, 45}
Find A∪B
There are 5 elements in set A
There are 5 elements in set B
A∪B is the combination of all the elements in set A and set B without repeating any
A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}
A∪B has 9 elements in it
A ⋂ B = {25}
PLLLLLZZZ HELP ME
A restaurant needs a block of ice that is exactly 480 cubic inches in volume.
The height of the ice block must be 10 inches.
Part A
What does the area of the base of the ice block need to be for the
given volume and height? Enter your answer in the box.
Answer:
Part A: 48in^2
Part B: 4in by 12in, 8in by 6in, and 3in by 16in
Step-by-step explanation:
Volume/height is the area of the base:
480/10 = 48in^2
Any two numbers that multiply to 48 are possible dimensions of the block:
4*12, 8*6, 3*16
There are 260 eighth grade students at South Whitenardh middle school. All right grade students are required to enroll in either a music class or an art class. No students take both art and music classes. The number of students taking music classes is 14 more than twice the number taking art classes. Write an equation to represent the total number of eight grade students
178 students taking a music class and 82 students taking an art class
There was no clear question, but I'm assuming you want to know how many students are enrolled in music and painting classes.
Let x= the number of children enrolled in art classes.
number of children enrolled in music classes: 2x + 14
The overall number of children will be 260, including all of these children.
x+2x+14 = 260
3x=246 x=82 pupils attend an art lesson.
To find people taking music classes, enter x to 2x+14.
2(82)+14 = 178
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The complete question would be;
There are 260 eighth-grade students at South Whitemarsh Middle School. All eighth-grade students are required to enroll in either a music class or an art class. No students take both art and music classes. The number of students taking music classes is 14 more than twice the number taking art classes.
IS
4. Of the 250 people who bought gas this
weekend at a local station, 75% of them
paid with a debit card. How many people
paid with a debit card?
Answer:
30 people
Step-by-step explanation:
First, calculate what number 75% is of 250. You then should get a total of 30.
Hope this helped ! :D
( apologies if I got it wrong)
estimate the product of 5,398 x 47 by rounding to the nearest thousand and ten.
a) 200,000
b)250,000
c)253,706
d)300,000
pls help me
Answer:
b) 250,000
Step-by-step explanation:
You want to estimate the product of 5,398 and 47 by rounding to the nearest thousand and ten.
Rounded valuesRounding 5,398 to the nearest thousand gives 5000.
Rounding 47 to the nearest ten gives 50.
Estimated productThe product of these is the estimate you want:
5000·50 = 250,000
Please solve it's worth 12 points
Answer:
300 feet squared i think
Step-by-step explanation:
A window is to be built in the shape of a rectangle surmounted by an isosceles
triangle. The area of the window must be 6m2. Use Lagrange Multipliers to find
the width and height of the rectangle for which the perimeter of the window will be
as small as possible. (Clarications: (1) A rectangle surmounted by a triangle has
the shape of a stick drawing of a house as might be drawn by a child, a rectangle
with a triangle on top. (2) The window's perimeter is made up of three sides of
the rectangle and the two equal length sides of the triangle. Draw a diagram! (3)
This may require some industrial strength algebra!)
The width and height of the rectangle for which the perimeter of the window will be as small as possible are (3sqrt(2), 2sqrt(2)).
What is the Lagrange multiplier?
The Lagrange multiplier, λ, measures the increase in the objective function (f(x, y) that is obtained through a marginal relaxation in the constraint (an increase in k). For this reason, the Lagrange multiplier is often termed a shadow price.
To use Lagrange multipliers to solve this problem, we can set up a function to minimize the perimeter of the window, subject to the constraint that the area of the window is fixed at 6 square meters.
Let x be the width of the rectangle, y be the height of the rectangle, and z be the Lagrange multiplier.
The function to minimize is the perimeter of the window, which is P = 2x + 2y + (2 * sqrt(x^2 + y^2))
The constraint is the area of the window, which is A = xy + (x * sqrt(x^2 + y^2))/2 = 6
The Lagrange equation is
L(x,y,z) = P + z(A-6) = 2x + 2y + (2 * sqrt(x^2 + y^2)) + z(xy + (x * sqrt(x^2 + y^2))/2 - 6)
To find the critical points, we will take the partial derivatives of L(x,y,z) with respect to x, y, and z, and set them equal to zero:
∂L/∂x = 2 + zy + zx * (x/sqrt(x^2 + y^2)) = 0
∂L/∂y = 2 + zx + zy * (y/sqrt(x^2 + y^2)) = 0
∂L/∂z = xy + (x * sqrt(x^2 + y^2))/2 - 6 = 0
Solving these equations simultaneously will give us the critical points of the function.
We will get two critical points (x,y) = (3sqrt(2), 2sqrt(2)), (0,2sqrt(2))
We should eliminate the point where x=0 as it does not fulfill the condition of the problem ( the width should be greater than 0)
Hence, the width and height of the rectangle for which the perimeter of the window will be as small as possible are (3sqrt(2), 2sqrt(2)).
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Find the measure of the indicated angle. Need help please.
I need explanation
Answer:
BC =21.03540021
Step-by-step explanation:
We know the measure of angle B since the sum of the angles of a triangle add to 180
A + B+ C = 180
61+ B + 12 =180
B = 180 - 12 -61
B =107
Then we can use the law of sines to find BC
sin B sin A
-------- = -------------
AC BC
sin 107 sin 61
-------- = -------------
23 BC
Using cross products
BC sin 107 = 23 sin 61
BC = 23 sin 61/ sin 107
BC =21.03540021
Answer:
20.12m
Step-by-step explanation:
180 - (12 + 61) = 107° = ∡B
[tex]\frac{23}{sin(107)} = \frac{a}{sin(61)}[/tex] *Cross Multiply*
[tex]a(sin(107)) = 23(sin(61))[/tex] *Divide by sin(107)*
[tex]a = \frac{23(sin(61))}{sin(107)}[/tex] *Solve*
a = BC ≈ 20.12m
Determine how to translate triangle A'B'C' back to triangle ABC. *
T<2,-5>
T<-2,-9>
T<2,-9>
T<5,2>
Answer:
Option 3
Step-by-step explanation:
From the graph attached,
Coordinates of point A → (6, -2)
Coordinates of point A' → (4, 7)
Let the point A' is shifted by 'h' units horizontally and 'k' units vertically,
Rule that defines the translation,
A'(x, y) → A(x + h, y + k)
By this rule,
A'(4, 7) → A(4 + h, y + 7)
Since, coordinates of point A are (6, -2),
Therefore, (4 + h) = 6
h = 2
And y + 7 = -2
y = -9
Therefore, Rule of the translation will be,
[tex]T_{(2, -9)}[/tex]
Option 3 will be the answer.
Simplify (2x+5y)(3x-8y)
Answer: = [tex]6x^{2}[/tex] − xy − [tex]40y^{2}[/tex]
Step-by-step explanation:
{Apply\:FOIL\:method}:\quad
\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd
a=2x,\:b=5y,\:c=3x,\:d=-8y
{Apply\:minus-plus\:rules}
+\left(-a\right)=-a
=2\cdot \:3xx-2\cdot \:8xy+5\cdot \:3xy-5\cdot \:8yy
Simplify 2 · 3xx − 2 · 8xy + 5 · 3xy − 5 · 8yy: 6x − xy − 40y
2 2
= [tex]6x^{2}[/tex] − xy − [tex]40y^{2}[/tex]
Hope This Helps!
Help me it’s math, will Mark brainly
Answer:
B
Step-by-step explanation:
Help me explain this question
Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .
what is variation ?Variation is the difference in an individual's genetic make-up that causes a population's members to have different physical characteristics. Variation can be shown in an individual's physical characteristics, fertility, metabolism, and method of reproduction. A variation is a relationship between a set of values for one variable and another set of values. direct change. If m is a nonzero constant and b = 0, the function y = mx (commonly written y = kx) that results from the equation y = mx + b is known as a direct variation.
given
the population of the bugs
b is the no. of bugs = 50 . [tex]3^{t}[/tex]
t is the no. of weeks they first counted
so this question explains
the range of population estimates
Is there a trend in the variation of estimates
Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .
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solve 2x+4y=4 -2x+y=-4 using substitution 
According to the solving by using substitution method the x and y are x = 6/5 and y = -8/5 respectively.
What is a method of substitution?The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable through one equation is substituted in the second equation in this procedure, as the name implies.
According to the given information:given equations are 2x+4y = 4 and -2x+ y = -4
Now, simplifying -2x+y = -4
-2x+y = -4
∴ y = -4 + 2x
i.e. y = 2x - 4
By substitution method,
y = 2x - 4 in other given equation 2x+4y = 4,
2x+4y = 4
2x+4(2x - 4) = 4
∴ 2x + 8x - 8 = 4
∴ 10x = 4 + 8
∴10x = 12
∴ x = 12/10
∴ x = 6/5
Now ,
substituting x = 6/5 in y = 2x - 4,
y = 2(6/5) - 4
∴ y = - 8/5
∴ x = 6/5 & y = - 8/5.
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50PTS 50PTS 50PTS [D•O•N•T E•X•P•L•A•I•N]
Answer:x=20
Step-by-step explanation:5x+9 and 3x+11 must add to 180, so you can set these equal to 180 and get 8x+20 = 180, this can be simplified to 8x=160 or x = 20
Answer:
x = 20°
Step-by-step explanation:
Given angles,
→ 5x + 9
→ 3x + 11
Forming the equation,
→ (5x + 9) + (3x + 11) = 180°
{Because, sum of two angles in a straight line leads to 180°}
Now the value of x will be,
→ (5x + 9) + (3x + 11) = 180°
→ 5x + 3x + 9 + 11 = 180°
→ 8x + 20 = 180°
→ 8x = 180° - 20
→ x = 160/8
→ [ x = 20° ]
Hence, the value of x is 20°.
which pair of triangles? multiple choice
Answer:
c
Step-by-step explanation:
/l/b/a×4÷6×0rrrt he 3rjdhdyeeyy3gfwgqrt
Solve the equation 2^x=1/32•x=
Answer:
2^x=1
x=0
32•x=0
32.0=0
maybe
Andrew grew 4 1/3 inches during a 3 1/2 month growth spurt. If his growth spurt continued at the same rate, how much did he grow in one month
If his growth spurt continued at the same rate Andrew will grow 26/7 inches per month during that growth spurt.
Describe age calculation.To calculate someone's age, you would subtract their birth year from the current year. For example, if someone was born in 1995 and it is now 2020, their age would be calculated as 2020 - 1995 = 25 years old.
If you have a birthdate, you can use a date calculator to find the exact age in years, months and days.
It's also important to note that, if the person's birthday hasn't occurred yet in the current year, you would subtract the birth year from the current year minus one.
We can start by converting the mixed number 4 1/3 to an improper fraction by multiplying the whole number by the denominator and adding the numerator: 4 x 3 + 1 / 3 = 13/3
To find out how much Andrew grew per month, we need to divide the total growth by the number of months.
13/3 inches / 3 1/2 months = (13/3) / (7/2) = (13/3) x (2/7) = 26/7 inches/month.
So, Andrew grew 26/7 inches per month during that growth spurt.
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