for the trapezoid/trapezium
the formula for finding the area of a trapezoid is A=(a+b)/2*h, and if you didnt know, a and b are always parallel.
for the parallelogram
it will always be b*h, this one is pretty easy to remember, also parallelograms include squares, rectangles, and anything with 4 sides.
the example
lets just say that we are missing a, which is the top one. now we have to fill in the missing little bit marked by a green square. this particular trapezoid is symmetrical, so we dont have to find the other side, but if it wasn´t, then you have to find the other side with the Pythagorean thoream. That is what we are going to do now. We have a and c and we need to find b in a²+b²=c², so plug in our values for a and c
(10)²+b²=(13)²
100+b²=169
now just isolate b and solve
b²=69
how to undo a square is by taking the square root of the other side of the equation
sqrt(69) is about 8.3
sorry this took me forever
A very strong wind is blowing over some mountains. Bella, the eagle, begins to fly home to bring food to the hatchlings in the nest. For every five hundred fifty meters Bella flies, she is blown back fifty meters by the wind. Bella's nest is five kilometers away. If bella flies five hundred fifty meters in one minute and begins at eleven thirty in the morning, what time will bella reach the nest?
Answer:
11:40 in the morning
Step-by-step explanation:
Given that for every 550 m, Bella the eagle flies, she is blown back fifty meters by the wind. Her nest is 5 km and she flies 550 m in 1 minutes.
Therefore for Bella to reach her nest which is 5 km (5000 m) away, the required distance (d) she needs to travel is:
d - (d/550)50 = 5000
d - 50d/550 = 5000
500d / 550 = 5000
d = (550 * 5000) / 500 = 5500
d = 5500 m = 5.5 km
speed = distance / time = 550 m / 1 minutes = 550 meters per minute
The time t required to cover 5500 m is:
speed = distance / time
550 meters per minute = 5500 m / t
t = 5500 m / 550 meters per minute
t = 10 minutes
If Bella lives at 11:30 am in the morning and then travels for 10 minutes to reach her nest, the time Bella will reach her nest is 11:40 am
2√180-14√20+10√45-√245
Answer:
[tex]2 \sqrt{180 } - 14 \sqrt{20} + 10 \sqrt{45} - \sqrt{245} \\ 15.65[/tex]
Two lines, A and B, are represented by the equations given below:
Line A: 4x + y = 6
Line B: x + y = 3
Which statement is true about the solution to the set of equations?
Group of answer choices
There are infinitely many solutions.
There is no solution.
It is (1, 2).
It is (2, 1).
Answer:
it is (1, 2)
Step-by-step explanation:
---------------
Solve for x pls help
Answer:you put the equations together then add the x’s and 20+10 together then subtract 30 from 10 so it should be -20
Step-by-step explanation:
what is the behavior of the graph y =-x^3-5x^2-3+9 at each of its zeros
The behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros is as follows:
At x ≈ -4.919 and x ≈ -0.488, there are local minima.
At x ≈ 1.752, there is a local maximum.
Let's analyze the behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros in more detail.
To find the zeros of the function, we need to solve the equation -x^3 - 5x^2 - 3x + 9 = 0.
To simplify the calculations, let's use a numerical method like the Newton-Raphson method to approximate the zeros. We'll start with initial guesses and iteratively refine them to improve the accuracy of the solutions.
Initial guess: x_0 ≈ -5
Applying the Newton-Raphson method:
x_1 = x_0 - f(x_0) / f'(x_0)
where f(x) = -x^3 - 5x^2 - 3x + 9
f'(x) = -3x^2 - 10x - 3 (derivative of f(x))
x_1 = -5 - (-5^3 - 5(-5)^2 - 3(-5) + 9) / (-3(-5)^2 - 10(-5) - 3)
≈ -4.919
Initial guess: x_0 ≈ -1
Applying the Newton-Raphson method:
x_1 = x_0 - f(x_0) / f'(x_0)
x_1 = -1 - (-1^3 - 5(-1)^2 - 3(-1) + 9) / (-3(-1)^2 - 10(-1) - 3)
≈ -0.488
Initial guess: x_0 ≈ 2
Applying the Newton-Raphson method:
x_1 = x_0 - f(x_0) / f'(x_0)
x_1 = 2 - (2^3 - 5(2)^2 - 3(2) + 9) / (-3(2)^2 - 10(2) - 3)
≈ 1.752
After iterating through the Newton-Raphson method, we approximate the zeros as follows:
x ≈ -4.919
x ≈ -0.488
x ≈ 1.752
Now, let's analyze the behavior of the graph at each zero:
x ≈ -4.919:
When x is close to -4.919, y is close to zero. Since the coefficient of the leading term (-x^3) is negative, as x approaches -4.919 from the left side, the graph of the function will be decreasing. As x approaches -4.919 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -4.919 is a local minimum.
x ≈ -0.488:
When x is close to -0.488, y is close to zero. Similarly, as x approaches -0.488 from the left side, the graph will be decreasing, and as x approaches -0.488 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -0.488 is also a local minimum.
x ≈ 1.752:
When x is close to 1.752, y is close to zero. In this case, as x approaches 1.752 from the left side, the graph will be increasing, and as x approaches 1.752 from the right side, the graph will be decreasing. Therefore, the behavior of the graph near x ≈ 1.752 is a local maximum.
for such more question on graph
https://brainly.com/question/13473114
#SPJ8
Evaluate the following expression when x = 4 and y = 2.
x²+y3
3
Answer:
24
Step-by-step explanation:
x^2+y^3
(4)^2+(2)^3
(4)(4)+(2)(2)(2)
16+8=24
No links! please help asap
Answer:
[tex]Volume \ of \ cuboid \ = Length * breadth * height[/tex]
= [tex]18*6*9 = 972m^3[/tex]
[tex]Surface \ area \ = 2*[(length*breadth) + (breadth * height) + (length * height)][/tex]
[tex]2*[(18*6)+(6*9)+(18*9)]\\2*[108 + 54 + 162] = 2 *324 = 648m^2[/tex]
janet makes the conjecture that line p is also parallel to line r . What must the value of y be for her conjecture to be correct?
show your work!!! am off 75 points and brainliest answer.
Answer:
A. 6.75
Step-by-step explanation:
8x+18=4x+57
8x-4x=57-18
4x=39
4x+57=180-(8y+30)
39+57=180-8y-30
96=150-8y
8y=150-96
= 54
y= 54/8 = 6.75
A student was asked to identify the following numbers as rational or irrational. Determine if the student has made any mistakes. Choose ALL the INCORRECT answers. There may be more than one answer
Answer:
Yes they are wrong, rational & irrational ones down below.
Step-by-step explanation:
So, lets start this by asking, what is a rational and irrational number?
Rational numbers are literally any numbers that arent pi, e, or other symbols, as well as square roots.
Irrational numbers are exactly the opposite, being the numbers that are symbols, including square roots.
Note that the symbols listed above such as pi are values that are neverending.
Now, using what we know of rational and irrational numbers, let see which answers are rational and which are not.
So, we start off with:
-13/3
I do not see a square root.
I do not see a symbol such as pi either.
It is not a ever going number.(number that continues infinitly)
So -13/3 is a rational number.
Next we have [tex]\sqrt{37}[/tex]
immediatly we tell it has a square root.
So [tex]\sqrt{37}[/tex] is a irrational number.
Next we have 0.1234
This is not a every going number.
There isnt a square root.
And it isnt a symbol.
So 0.1234 is a rational number.
Next we have [tex]-\sqrt{100}[/tex]
Again, we can immediatly know it has a square root.
So [tex]-\sqrt{100}[/tex] is a irrational number.
Next we have -77
This is not every going.
It doesnt have a square root.
It doesnt have a symbol.
So -77 is a rational number.
Lastly we have [tex]-\sqrt{12}[/tex]
Like the other ones, we can imediatly tell it has a square root.
So [tex]-\sqrt{12}[/tex] is a irrational number.
Bascially, to answer further questions, here is the criteria for a number being rational:
It does not have a square root.It does not have a symbol.It is not a infinitly going on number.If one of these criterias are not met, then you know its a irrational number.
Hope this helps! :D
Answer:
OPTION A& D
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
Find an expression for the nth term (tn) in each of the following sequence: 2, 4, 6, 8, 10, ... PLEASE FAST
Answer:
2n
Step-by-step explanation:
2 x 1 = 2
2 x 2 = 4
.......
2 x 5 = 10
Find the difference between the terms. e.g 4 - 2 = 2, then times it by n for the expression
can anyone solve this? question on image
Answer:
Negative integers
Step-by-step explanation:
On a coordinate plane, Point W is 5 units from the origin. If Point W is located at (3, y), which of these is a possible value for the y-coordinate of Point W?
Answer:
W (3 , 4) or W (3 . -4)
Step-by-step explanation:
W (3 , y), origin (0 ,0)
WO = √(3-0)²+(y-0)² = √9+y²
WO = 5
√9+y² = 5
9+y² = 25
y² = 16
y = ± 4
W (3 , 4) or W (3 . -4)
Answer:
-4
Step-by-step explanation:
Plz help!! Will make brainliest
Answer:
-2x^2-6x-15=0
Step-by-step explanation:
Shift the 15 to the other side to get ax^2+bx+c
-2x^2-6x-15=0
Which of the following questions are statistical questions? Select all that apply
How far does Mary live from school?
How many students were absent from Mrs. Jenssen's class today?
How tall are the sixth grade students in your school?
How many pull-ups can each student in your class do?
What was the temperature at 4 p.m. each day this week?
Giving brainliest
Answer:
What was the temperature at 4 p.m. each day this week?
(I'm not sure how many answers you can choose.)
HELP
2/3 of the students in Lindsey's class are girls. Of the girls, 1/2 of them play a musical Instrument. What fraction of the
students play a musical Instrument? Choose the model that matches the situation.
Answer:
2/6 so the last box
Step-by-step explanation:
2/3 divided into 2 pieces equals 2/6 because thirds are two times the size as sixths.
Answer:
The last box
Step-by-step explanation:
Which equation describes the relationship
between x and y in the table?
х
-8
-4
0
4
00
y
2
1
0
-1
-2
A y= - 4x
® y=-X
© y=4x
y= 2x
Answer:
A or y = -4x
Step-by-step explanation:
2×-4=-8
1×-4=-4
0×-4=0
and so on and so forth
Type the missing number that makes these fractions equal:
?/26=8/13
Answer:
16/26=8/13
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
the denominator is double of 13, using that logic multiply 8 by 2 to get 16
HELP I WILL MARK BRAINLIST!!!
Answer:
The answer would be b this is because i did the math and i got 5 yards
Step-by-step explanation:
Taking a test i don’t know anything about please help
In an Economics course, the correlation between the students' total score prior to the final exam and
their final exam score is r = 0.60. The pre-exam totals for all students in the course have mean 280
points and standard deviation 30 points. The final exam scores have mean 75 points and standard
deviation 8 points.
4. Find the equation of the least-squares regression line for predicting a final exam score from a
student's pre-exam total.
5.
Interpret the slope in context.
6.
Interpret the y-intercept in context.
7.
Calculate the fraction of variability, R?.
8.
Interpret R? in context.
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 4:
The line of regression is [tex]\hat y = a+bx[/tex] where:
[tex]a=\overline y-b \overline x[/tex]
[tex]b=\frac{r*s_y}{s_x}[/tex]
We are given that [tex]\overline y=75[/tex], [tex]s_y=8[/tex], [tex]\overline x=280[/tex], [tex]s_x=30[/tex], and [tex]r=0.60[/tex], therefore our slope, [tex]b[/tex], is:
[tex]b=\frac{r*s_y}{s_x}[/tex]
[tex]b=\frac{(0.60)(8)}{30}[/tex]
[tex]b=0.16[/tex]
Therefore, the slope of the regression line is 0.16, which can be used along with the values of [tex]\overline y[/tex] and [tex]\overline x[/tex] to find the constant [tex]a[/tex]:
[tex]a=\overline y-b \overline x[/tex]
[tex]a=75-(0.16)(280)[/tex]
[tex]a=30.2[/tex]
This means our final regression line is [tex]\hat y = 30.2 + 0.16x[/tex]
Problem 5:
The slope, [tex]b=0.16[/tex], means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.
Problem 6:
The y-intercept (or constant), [tex]a=30.2[/tex], means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.
Problem 7:
[tex]R^{2}=(0.60)^{2}=0.36=36\%[/tex]
Problem 8:
The fraction of variability (aka. coefficient of determination), [tex]R^2[/tex], means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.
Find the second, fourth, and eleventh terms of the sequence A(n) = 5 + (n - 1)(-3)
Answer:
2nd: 2
4th: -4
11th: -25
Step-by-step explanation:
When you substitute a number into the equation you get that number term. So, if you substituted in 1, you get the first term. To find the second term, you substitute in 2:
A(2) = 5 + (2 - 1)(-3)
A(2) = 5 + (1)(-3)
A(2) = 5 - 3
A(2) = 2
To get the 4th term you substitute in 4:
A(4) = 5 + (4 - 1)(-3)
A(4) = 5 + (3)(-3)
A(4) = 5 - 9
A(4) = -4
And we do the same for the 11th term:
A(11) = 5 + (11 - 1)(-3)
A(11) = 5 + (10)(-3)
A(11) = 5 - 30
A(11) = -25
Ashton estimates the square root of 50 in the following way: Complete sentences √50= 2√25=2×5=10
Answer:
[tex]\sqrt{50} = \sqrt{2*5*5}= 5\sqrt{2}[/tex]
Hi could some one please help me !!
Answer:
A) 75°
Step-by-step explanation:
[tex]x=55+50=180[/tex]
[tex]x+105=180[/tex]
[tex]x=180-105[/tex]
[tex]x=75[/tex]
-----------------
hope it helps...
have a great day!!
what is the formula of a²-b²?
Answer:
The formula of a²-b² are as follows:
Step-by-step explanation:
(a-b)(a+b)
(a-b)(a+b) is the answer
A rectangular prism has a volume of 344 cubic units. Find its volume of two dimensions were doubled, and a third dimension was tripled
Answer: 4128
Step-by-step explanation:
Can someone pls help me on this it’s due soon ty
Answer:
10.1
Step-by-step explanation:
Answer:
10.1 units
Step-by-step explanation:
Since they have the same x axis you have to find the difference from the y axis. I just add the two if one is positive and the other is negative so 2.9+(-7.2) = 10.1
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Please help me thanks please
Answer:
m∠FAN = 80°
Step-by-step explanation:
Area of a sector is given by the expression,
Area of the sector = [tex]\frac{\theta}{360}\pi r^{2}[/tex]
Here, θ = central angle subtended by the arc
r = Radius of the circle
By substituting the values from the question,
288π = [tex]\frac{\theta}{360}(\pi )(36)^2[/tex]
θ = [tex]\frac{288\pi }{1296\pi }\times 360[/tex]
θ = 80°
Therefore, m∠FAN = 80° will be the answer.
What about this one I don’t know
Answer:
I believe it is 12.
Step-by-step explanation:
need help on this asap actual explanation!
Answer:
Vertex means the highest or lowest coordinate in a parabola (and also absolute value)
Here we see the lowest point is (-2,0), so the vertex is (-2,0)
A standard quadratic equation is written as a(x-h)^2+k
h and k are the vertex coordinate h is x and k is y
so by finding the vertex we found that h = -2 and k = 0
so you plug it in
a(x-(-2))^2+0=y
a(x+2)^2=y
when finding a, you take a random point in the graph and plug it in and solve it
lets take (-1,1)
so its a(-1+2)^2 = 1
a(1)^2 = 1
a=1
so the equation will be 1(x+2)^2 = y or (x+2)^2=y (don't need to write the 1)
Hope that answers your question
Don't hesitate to leave a comment if you are confused about something
Step-by-step explanation:
» wipt is to sum in simplest form?
41 +1% = 0
6
5
10
1
10
54
Please help!
Answer:
6 1/10
Step-by-step explanation:
4,5 + 1,6 = 6,1 = 6 1/10