Answer:
Area of trapezoid = 67.6 square units
Step-by-step explanation:
Area of a trapezoid is given by the expression,
Area of the trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the given trapezoid.
And '[tex]h[/tex]' = Height between the parallel sides
From the given triangle ABE,
m(∠ABE) = m(∠ABC) - m(∠EBC)
m(∠ABE) = 120° - 90°
= 30°
By applying cosine rule in the given triangle,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{BE}{AB}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{BE}{6}[/tex]
BE = [tex]3\sqrt{3}[/tex] units
By applying sine rule in ΔABE,
sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{AE}{AB}[/tex]
[tex]\frac{1}{2}=\frac{AE}{6}[/tex]
AE = 3 units
Length of [tex]b_1=BC=10[/tex]
Length of [tex]b_2=AD=(AE+EF+FD)[/tex] [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]
[tex]b_2=3+10+3[/tex]
[tex]b_2=16[/tex]
Height between the parallel sides [tex]h=3\sqrt{3}[/tex]
Area of the trapezoid = [tex]\frac{1}{2}(BC+AD)BE[/tex]
= [tex]\frac{1}{2}(10+16)(3\sqrt{3})[/tex]
= [tex]39\sqrt{3}[/tex]
= 67.6 square units
Can someone figure out these for me.
Answer:
Algebra :(
Step-by-step explanation:
Anyway haiiiiiiii remember me Katie i saw your question lol haiii
Question 12
In the figure shown, if J, P, and L are the midpoints of KH, HM, and MK, respectively, find the values of x, y, and z.
Yes it is divisible by 3. A number is fully divisible by three if its digit sum is also divisible by three, according to the rule of divisibility test for three.
what is divisibility test?The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.
add all number
9+9+0 = 18
and 18/3 = 6
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On solving the provided question, we can say that in this triangle 2x-6 = 3 => 2x = 9 => x = 9/2 and 2z = 4 => z = 2
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
in this triangle
2x-6 = 3
2x = 9
x = 9/2
2z = 4
z = 2
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Answer quickly IF u love god i do please
Answer:
The answer is 11
Step-by-step explanation:
The answer is 11 because you need to add the sides up that the points are on point P is 5 Point Q is 3 and point R is 3 5+3 is 8 8+3 is 11
Answer:
19.56
Step-by-step explanation:
PR = [tex]\sqrt{3^{2} + 3^{2} }[/tex] = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex]
RQ = [tex]\sqrt{5^{2} +5^{2} }[/tex] = [tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]
QP = [tex]\sqrt{8^{2} +2^{2} }[/tex] = [tex]\sqrt{68}[/tex] = 2[tex]\sqrt{17}[/tex]
Perimeter = sum of the sides = 3[tex]\sqrt{2}[/tex] + 5[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{17}[/tex] = 19.56
Break the triangle PQR into 3 right triangles, with each leg being a hypotenuse. Then you can use the Pythagorean theorem to find the length of each leg. Add them all together to get the perimeter.
PLEASE HELP BETS ANSWER GETS CROWN THERE ARE 2 QUESTIONS
ANSWER LIKE THIS
Q1. ANSWER
Q2. ANSWER.
NO LINKS OR FILES PLEASEEEE. (btw this is my last one)
Answer:
I am sorry but I can not answer as you have forgotten part of the question. Please repost and make sure you have everything there before you post the question!
How do you find the x-intercept and vertex of a quadratic function?
We can find the x-intercept by writing the equation in intercept form which is also known as factored form, y= (x-p) (x-q) where p, q are the x-intercepts.
To find the vertex of the quadratic function we can write the function in standard form , the vertex is located at the point where y=f (x).
A function which has a degree of two is known as a quadratic function.
Example, 3x² + 2 , here the maximum degree is 2 , hence the given function is quadratic. The general form of a quadratic equation is given as ,
f(x) = ax2 + bx + c .
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if you don’t help I could possibly die.
Graph the system of equations on the grid below. Y=4x+7 and 2=x-y
The two lines intersect at (-3,-5) and thus a common solution.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here, the system of linear equations as Y=4x+7 and 2=x-y
On solving these two equations we get that the two lines intersect at (-3,-5) and thus a common solution.
The two equations are plotted in the attachment below.
Hence, The two lines intersect at (-3,-5) and thus a common solution.
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Does the point (6, 2) satisfy the equation y = x - -4?
What the answer too 3(-8+f)=57
The Answer is ...
f = 27
helpp pleaaaaaaaaaseee
The linear equations would be
4x + 5y = 62 (the equation representing the total cost of Kent)
6x + 2y = 60 (the equation representing the total cost of Rew)
and the solution would be x = 8, y = 6.
What is a system of linear equations?
A system of linear equations is a set of two or more linear equations that describe a relationship between multiple variables. The variables in each equation are related to each other, and the solution of a system of linear equations is the set of values that satisfy all of the equations in the system.
In this case, since Kent and Rew each bought the same amount of boondins and hopts, we can use the same variable names (x for boondins and y for hopts) for both of them. We can use this information to write two equations to model the relationship between the amounts of boondins and hopts that Kent and Rew bought:
4x + 5y = 62 (the equation representing the total cost of Kent)
6x + 2y = 60 (the equation representing the total cost of Rew)
This system of linear equations is called a system of two equations in two variables.
Hence, the linear equations would be
4x + 5y = 62 (the equation representing the total cost of Kent)
6x + 2y = 60 (the equation representing the total cost of Rew)
and the solution would be x = 8, y = 6.
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In an isosceles triangle ABC with AC = BC, point M is on the side BC , and point N is on the segment MC. It is known that MN=AM, and m∠BAM=m∠NAC. Find m∠MAC
The measure of angle MAC is 90°.
What is means of isosceles triangle?
An isosceles triangle is a type of triangle where two of its sides are congruent, or have the same length. This means that if you draw a line down the center of an isosceles triangle, it will split the triangle in half and both halves will have the same side lengths.
In an isosceles triangle, the angles opposite the congruent sides are congruent. Therefore, in triangle ABC, m∠BAM = m∠CAB = m∠NAC.
Since angle BAM and angle NAC are congruent, and they are both supplementary to angle MAC, it follows that angle MAC is congruent to itself.
Therefore, m∠MAC = m∠MAC = 180 - m∠BAM = 180 - m∠NAC.
Since m∠BAM = m∠NAC, we can conclude that
m∠MAC = 180 - m∠NAC = 90°
Hence, the measure of angle MAC is 90°.
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-1.8 × (-9.3)
How do I find this with the whole equation written out show your work of how you do this please
Answer:
16.74
Step-by-step explanation:
-1.8 times -9.3 will have a positive answer because 2 negative numbers will have a positive sum
-1.8
x -9.3
---------
5 4
1 6 2 0
---------
1 6 7 4 ||| add two decimal spaces
16.74
HELP, I need to find out this question!
It’s about solving systems of equations does anyone know the answer please
Answer:
A
Step-by-step explanation:
One Solution
Marking brainliest
Are you against animal testing? If so, why?
Answer:
I am against testing on animals.
Step-by-step explanation:
Personally based on my faith humans are told to make the earth their dominion. To dominate doesn't only mean to use to one's advantage but to also take care of and replenish any loss caused by unintentioned damage. Animals do have feelings, both emotional and physical, and though those feelings may not be quite as developed as those of humans, they are undoubtedly existent. With how far technology has come when it comes to predictability and how calculated and concise science experiments have become, if as the most advanced species on earth we are still unable to determine how long a deodorant or lipstick or eyeliner would last without torturing other species, then what exactly have we achieved, and are we truly any more advanced than we were 10000 years ago? And for things that quite necessarily do need testing like vaccines and medicines it is to some extent understandable, but then again if the death sentence still exists for offenders of heinous crimes , why don't we instead of killing those criminals dedicate them to science and research for testing of vaccines and medicines. That way we all benefit from it. They don't have to die and neither do the animals and neither do we. It's a far stretch of a solution but alternatives can be made. Where there's a will there's a way.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
A
Step-by-step explanation:
Y intercept means x=0. f(0)=0-3=-3
g(0)=4
y intercept for f(x) is-3,y intercept for g(x)is 4
simplify square root of 3y^2 if y<0
Note that the resultant expression after simplifying simplify square root of 3y² if y<0 is: y√3
What is the rationale for the above result?Note that we need to take a factor out of the square root: √(3y²) , where y<0.
The given expression is √(3y²)
Recall that to take out a factor out of the square root that factor must have a degree in multiple of 2 such as x², x⁴, (x-2)⁴, thus,
√(3y²) = √3y²
⇒ √3 √y²
⇒ √3 (y²)[tex]^\frac{1}{2}[/tex]
⇒ √3 (y)[tex]^\frac{2}{2}[/tex]
= y √3
Thus, having simplified the expression √(3y²), the result is: y √3.
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A map of a playground can be represented on the coordinate plane below. The swings are located at (5, 7), the slide is located at (2, –4), and the sandbox is located at (0, 5). Jenny left the swings and walked 3 yards west and 2 yards south. Kent left the sandbox and walked 5 yards east and 4 yards north. If each square of the coordinate plane is equal to one square yard, how many yards north of the swings is Kent located? Help PLS
Answer:
2 yards
Step-by-step explanation:
The coordinates of the location of the swings = (5, 7)
The coordinates of the location of the slides = (2, -4)
The coordinates of the location of the sandbox = (0, 5)
The path through which Jenny walked = 3 yards west and 2 yards south from the swing
The path through which Kent walked = 5 yards east and 4 yards north from the sandbox
The coordinates of Kent's final location = (0 + 5, 5 + 4) = (5, 9)
Given that the coordinate of the location of the swing = (5, 7)
Kent is located at the coordinate (5 - 5, 9 - 7) = (0, 2) relative to the swing
Therefore, Kent is located 2 yards north of the swing.
How do you find the angles of an isosceles triangle given three sides and no angles?
The Law of Cosines can be used to calculate the angles of an isosceles triangle given three side lengths. Two of the angles are equal, while the third can be found by subtracting the two known angles from 180°.
Since you are given three sides of an isosceles triangle, you can use the Law of Cosines to calculate the angles of the triangle. The Law of Cosines states that for a triangle with side lengths a, b, and c and angle C opposite side c, the following equation holds:
c² = a² + b² - 2abcosC
Therefore, you can rearrange the equation to solve for angle C:
C = arccos((a² + b² - c²) / (2ab))
For an isosceles triangle, two of the angles will be equal, so you can calculate those two angles using the equation above, and the third angle can be found by subtracting the two known angles from 180°.
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how many four digit positive integers have exactly two even numbers?
Answer:
You will need to eaither choose 2 odd numbers and 1 even number or choose 2 even numbers and 1 odd number
Step-by-step explanation:
In both cases we will be choosing two from 5 and 1 from 4
Line M contains the points (-3,2) and (5,1) line n contains the points (2,7) and (1,-1) which statement is TRUE about lines m and n
Answer:
The lines are perpendicular
Step-by-step explanation:
Answer:
perpendicular
Step-by-step explanation:
If $3,000 is loaned for 4 years at a
4.5% annual simple interest rate,
how much interest is earned?
Answer:
$540
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 3000(.045)(4)
I = 540
Help me Ive been asking for hours pls help
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
Town B
15 20 25 30
58
0
5
10
15
20
SO
55 60
25 30 35 40 45
Degrees (F)
Which statement is the most appropriate comparison of the centers?
A. The median temperature for both towns is 30°
B. The mean for town A, 30°, is greater than the mean for town B, 25
ОО O
C. The median temperature for both towns is 20°
D. The median for town A, 30°, is greater than the median for town B.
Answer: D
Step-by-step explanation:
42 kg in the ratio 4 : 2
Answer:
28 : 14
Step-by-step explanation:
4 : 2
4 + 2 = 6
42 ÷ 6 = 7
7 × 4 = 28
7 × 2 = 14
What is Destiny's hourly wage?
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
or in this case, hourly wage :)
to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{200}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{200}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{10}-\underset{x_1}{0}}} \implies \cfrac{ 200 }{ 10 } \implies \cfrac{20}{1}\cfrac{dollars}{hour}\qquad \textit{\$20 per hour}[/tex]
Is ∆MHT ≈ ∆TMA? If so, state the congruence property you used to make the determination and fully explain your reasoning. Be sure to cite all properties, definitions, or theorems used in your reasoning. You may use a flowchart if you wish. If they are not congruent, explain why they are not.
Please help
Answer:
Triangle MHT and Triangle TMA are congruent.
If you reflect over the dotted line, point H and A will be on the same point. The triangles are also the same shape and same size.
A= v-u/ t
v = 37. 6 correct to 3 significant figures.
u = 11. 3 correct to 3 significant figures.
t = 8. 4 correct to 2 significant figures.
Work out the upper bound for the value of a.
Show your working clearly
The upper bound of a is 3.13.
Upper Bound
The smallest amount that would round up to the following anticipated value is the upper bound.
Significant FiguresThe number of digits that contribute to a value's level of precision is known as significant figures and is typically found in measurements. As soon as a digit is non-zero, we begin calculating significant numbers.
Given in the question
v = 37. 6
u = 11. 3
t = 8. 4
To find:- a = (v - u)/t
Solution: -
Since finding the upper boundary for a
Upper boundary = (upper v - lower u) / (lowest t)
So putting the value values of v, u, t in we get the value
a = (37.6 - 11.3) / 8.4
Therefore the value of a = 3.13
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If a rectangular plot measures 33 feet by 44 feet, what is
the length, in feet, of the diagonal of the plot?
Answer:
55 feet
Step-by-step explanation:
If you draw it out, the diagnonal along wiht 2 sides of the rectangle make a rigth angles traingle.
Using pythagoras theoreom, [tex]c^{2} =a^{2} +b^{2}[/tex], c is the length of the diagonal and a and b are 2 sides of rectangle.
So c=[tex]\sqrt{a^{2} +b^{2} }[/tex]
=[tex]\sqrt{33^{2} +44^{2} }[/tex]
put in alculator and get:
55
=55 feet
The measure of the diagonal of the rectangle plot which has the measure of 33 feet by 44 feet is 55 feet.
What is the diagonal of the rectangle?The diagonal of the rectangle is the distance from opposite vertices of it. There are two diagonals in a rectangle which are equal in measure.
To find the diagonal of the rectangle, the following formula is used.
[tex]d=\sqrt{l^2+w^2}[/tex]
Here, (l) is the length of the rectangle and (w) is the width of it.
The width of the rectangular plot measures 33 feet and length measure 44 feet. Plug in these values in the above formula to find the diagonal of the plot.
[tex]d=\sqrt{(44)^2+(33)^2}\\d=\sqrt{1936+1089}\\d=\sqrt{325}\\d=55\rm\; ft[/tex]
Hence, the measure of the diagonal of the rectangle plot which has measure of 33 feet by 44 feet is 55 ft.
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Solve this system of equations. Explain how you determined your answer.
2x−4y=−14
−8x+4y=−4
Answer:
(3, 5 )
Step-by-step explanation:
Given the 2 equations
2x - 4y = - 14 → (1)
- 8x + 4y = - 4 → (2)
Adding (1) and (2) term by term will eliminate the y- term
- 6x + 0 = - 18
- 6x = - 18 ( divide both sides by - 6 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (2)
- 8(3) + 4y = - 4
- 24 + 4y = - 4 ( add 24 to both sides )
4y = 20 ( divide both sides by 4 )
y = 5
solution is (3, 5 )