Answer:
a third
Step-by-step explanation:
Layla is determining the area of the trapezoid. Her work is shown below.
A trapezoid has a base of 14 feet, height of 10 feet, and top side length of 8 feet.
Step 1: Break the figure into rectangles and triangles.
A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 feet and a height of 8 feet. The triangle has a base of 10 feet and a height of 6 feet.
Step 2: Find the area of the rectangle: 8 times 10 = 80.
Step 3: Find the area of the triangle: One-half times 6 times 8 = 24.
Step 4: Add the areas together: 80 + 24 = 104 square feet.
Which best describes Layla’s error?
The height of the triangle in Step 1 should be 4 ft.
The area of the triangle in Step 3 should be One-half times 6 times 10 = 30.
The area of the triangle is Step 3 should be halved because there is only one triangle.
The areas in Step 4 should be multiplied instead of added.
Answer:
the answer is B <3
Step-by-step explanation:
have a good day!
░░░░░░░░░░░░░░░░░░░░▄▀░░▌
░░░░░░░░░░░░░░░░░░░▄▀▐░░░▌
░░░░░░░░░░░░░░░░▄▀▀▒▐▒░░░▌
░░░░░▄▀▀▄░░░▄▄▀▀▒▒▒▒▌▒▒░░▌
░░░░▐▒░░░▀▄▀▒▒▒▒▒▒▒▒▒▒▒▒▒█
░░░░▌▒░░░░▒▀▄▒▒▒▒▒▒▒▒▒▒▒▒▒▀▄
░░░░▐▒░░░░░▒▒▒▒▒▒▒▒▒▌▒▐▒▒▒▒▒▀▄
░░░░▌▀▄░░▒▒▒▒▒▒▒▒▐▒▒▒▌▒▌▒▄▄▒▒▐
░░░▌▌▒▒▀▒▒▒▒▒▒▒▒▒▒▐▒▒▒▒▒█▄█▌▒▒▌
░▄▀▒▐▒▒▒▒▒▒▒▒▒▒▒▄▀█▌▒▒▒▒▒▀▀▒▒▐░░░▄
▀▒▒▒▒▌▒▒▒▒▒▒▒▄▒▐███▌▄▒▒▒▒▒▒▒▄▀▀▀▀
▒▒▒▒▒▐▒▒▒▒▒▄▀▒▒▒▀▀▀▒▒▒▒▄█▀░░▒▌▀▀▄▄
▒▒▒▒▒▒█▒▄▄▀▒▒▒▒▒▒▒▒▒▒▒░░▐▒▀▄▀▄░░░░▀
Answer:
b
Step-by-step explanation:
Determine whether [3x + 12 + x] is equivalent to [4(3 + x)]. Use properties of operations to justify your answer.
Step-by-step explanation:
Using BODMAS rule
[3x+12+x] = [4(3+x)]
[4x+12] = [12+4x]
Parentheses 1 = Parentheses 2
LHS = RHS
HENCE PROVED
MARK ME AS BRAINLISTGiven the vector field F= ∆(x3 + y3 + z3 + 3xyz), find div F and curl F.
Since F is apparently a vector field, I assume you mean
[tex]\vec F = \nabla(x^3+y^3+z^3+3xyz)[/tex]
with ∇ = gradient, whereas ∆ is often used to denote the Laplacian, ∆ = ∂²/∂x² + ∂²/∂y² + ∂²/∂z².
Let [tex]f(x,y,z)=x^3+y^3+z^3+3xyz[/tex]. Compute the gradient of f :
[tex]\vec F = \nabla f(x,y,z) = \dfrac{\partial f}{\partial x} \, \vec\imath + \dfrac{\partial f}{\partial y} \, \vec\jmath + \dfrac{\partial f}{\partial z} \, \vec k[/tex]
[tex]\vec F = (3x^2+3yz) \,\vec\imath + (3y^2 + 3xz) \,\vec\jmath + (3z^2+3xy) \,\vec k[/tex]
Now compute the divergence of F (incidentally, divergence of a gradient field is the Laplacian of the f):
[tex]\mathrm{div} \, \vec F = \dfrac{\partial(3x^2+3yz)}{\partial x} + \dfrac{\partial(3y^2+3xz)}{\partial y} + \dfrac{\partial(3z^2+3xy)}{\partial z}[/tex]
[tex]\boxed{\mathrm{div} \, \vec F = 6x + 6y + 6z}[/tex]
and the curl: (the following is overkill, since any gradient field has curl zero, but it doesn't hurt to verify that)
[tex]\mathrm{curl}\, \vec F = \left(\dfrac{\partial(3z^2+3xy)}{\partial y} - \dfrac{\partial(3y^2+3xz)}{\partial z}\right) \,\vec\imath - \left(\dfrac{\partial(3z^2+3xy)}{\partial x} - \dfrac{\partial(3x^2+3yz)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\dfrac{\partial(3y^2+3xz)}{\partial x} - \dfrac{\partial(3x^2+3yz)}{\partial y}\right) \,\vec k[/tex]
[tex]\boxed{\mathrm{curl} \,\vec F = \vec 0}[/tex]
What is the answer to 8 7/9 + 5 9/11
Answer: 14.596
Step-by-step explanation:
Hope this Answer Helps! if it helped please leave brainliest
Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
Answer:
Option A is correct. (light blue color in the triangle choices)
Step-by-step explanation:
Or with the same dimensions as my screenshot
Answer:
25.2
Step-by-step explanation:
Question 5 on math!
Please help me 15 points
Answer:
i cant see the grid
Step-by-step explanation:
show the grid please
Work out the angle below
Answer:
56
Step-by-step explanation:
two of the angles are the same meaning the bottom two are 62. angles in a triangle add up to 180° so you just do 62 + 62 and then take the answer away from 180
62+62=124
180-124=56
can anyone tell me what (4 times a number is at least -12) i need help.
Answer:
-3
Step-by-step explanation:
4 times a number is at least -12
Substitute the missing number for x.
4x = -12
4x/4 = -12/4
x = -3
4 times -3 is at least -12.
hope this helps and is right!! p.s. i really need brainliest :)
Answer:
[tex]4x\geq -12\implies x\geq-3[/tex]
Step-by-step explanation:
Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39 (the units
are milligrams per deciliter). A simple random sample of 106 adults is chosen. Use Cumulative Normal Distribution Table if
needed. Round the answers to at least four decimal places.
Part: 0/3
Part 1 of 3
(a) What is the probability that the sample mean cholesterol level is greater than 204?
The probability that the sample mean cholesterol level is greater than 204 is
Next Part
Submit Assignment
For the mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39, the probability is mathematically given as
x=0.1379
What is the probability that the sample mean cholesterol level is greater than 204?Generally, the equation for the probability is mathematically given as
P(\=x>210)
Therefore
P=(z>\frac{204-198}{39/\sqrt{106}})
P=(z>1.583)
In conclusion, from cumulative table
x=1-p(z>1.583)
x=1-0.8621
x=0.1379
Read more about probability
https://brainly.com/question/795909
given a force of 88N and acceleration of 4m/s what is the mass
Answer:
F = ma
m = F/a
m = 88/4
m = 22 kg
Step-by-step explanation:
I can only manage to get 3/4 and i know i got the answer right so can someone please help me?
Answer:
See below.
Step-by-step explanation:
A(1, 4)
B(3, 0)
C(-3, -2)
We find the coordinates of he midpoints using the midpioint formula.
D([1 + 3]/2, [4 + 0]/2) = D(2, 2)
E([1 + (-3)]/2, [4 + (-2)]/2) = E(-1, 1)
We find the slopes using the slope formula.
slope of BC:
m_BC = (-2 - 0)/(-3 - 3) = -2/(-6) = 1/3
slope of DE:
m_DE = (1 - 2)/(-1 - 2) = -1/(-3) = 1/3
Since the slopes of BC and DE are equal, the lines are parallel.
2(square-root of 80/5-5)
Step-by-step explanation:
√
4
2
⋅
5
5
Pull terms out from under the radical.
4
√
5
5
The result can be shown in multiple forms.
Exact Form:
4
√
5
5
Decimal Form:
1.78885438
Answer: -2
Step-by-step explanation: if you take the square root of 80/5, you get 4. Then, you take 4-5, which is -1.
2 x -1= -2
Hope it helps!
A line passes through point (4,-2) and has a slope of -5/4 in
Ax+By=C PLEASE
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{5}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-\cfrac{5}{4}}(x-\stackrel{x_1}{4})[/tex]
[tex]y+2=-\cfrac{5}{4}x+5\implies \stackrel{\textit{multplying both sides by }\stackrel{LCD}{4}}{4(y+2)=4\left( -\cfrac{5}{4}x+5 \right)}\implies 4y+8=-5x+20 \\\\\\ 5x+4y+8=20\implies 5x+4y=12[/tex]
Lana is designing a triangular pyramid made of all glass to go on top of a building. All of the faces of the pyramid have a height of 17 feet and a base of 20 feet.
How much glass is needed?
A.
680 sq ft
B.
340 sq ft
C.
2,040 sq ft
D.
1,360 sq ft
Answer:
Area of a triangle is 1/2 x base x height.
area of triangle = 1/2 x 20 x 17 = 170 square feet.
the image shows 4 triangles, total area = 170 x 4 = 680 square feet.
the answer is A. 680 sq. ft.
Hope this helps you!!
Please Mark me as Brainleast!!!!!!!!!!!!!
I will make Brainliest
Answer:
x+2 - and x+6
Step-by-step explanation:
What is the value of x?
The figure shows 2 right triangles, triangle R S T with right angle S and triangle Q R T with right angle R. The measure of angle R T S is 60 degrees. The measure of angle Q T R is 45 degrees. The length of side R S is 2 square root 3. The length of side Q R is x.
Answer: 4
Step-by-step explanation:
The length of QR(x) from the given figure is 4 units.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
From the given figure, QR=x, RS=2√3 units and ∠STR=60°.
We know that, sinθ= Opposite/Hypotenuse
sin60°=2√3/RT
√3/2=2√3/RT
RT=4 units
As we know, tanθ= Opposite/Adjacent
tan45°= x/4
1= x/4
x=4 units
Therefore, the length of QR(x) from the given figure is 4 units.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ2
45 POINTS!!!! HELP
A Ferris wheel at an amusement park is modeled by (x – 80)^2 + (y – 80)^2 = 5,625, where the measurements are in feet. A slingshot attraction is modeled by y = –3x^2 + 72x – 280. Which attraction reaches a greater height, and what does it represent in terms of the context?
A.The slingshot reaches a greater height at 280 feet, which is the vertex of the parabola.
B. The Ferris wheel reaches a greater height at 155 feet, which is the highest point on the circle.
C. The slingshot reaches a greater height at 152 feet, which is the vertex of the parabola.
D. The Ferris wheel reaches a greater height at 150 feet, which is the highest point on the circle.
1 . 12+2x=16 2.12+x=26 3 . 4x-2=10
Answer:
1. x=4
2. x=14
3. x=3
Step-by-step explanation:
x is just a symbol they use as a temporary symbol to tell the person reading the problem that there is number that you do not know yet. if the x in the problem is next to a number then it needs to be multiplied with the number it's next to. in this case we know that 4 times 3=12 and if you take two away from 12 you get 10 so because 3 works in the equation it's the answer for 4x-2=10. this applies to every problem like this another way to solve it is if you add 2 to the left side it cancels out but you need to add 2 to the other side which would look like 4x=10+2 which equals 4x=12 and 4 times three equals 12. it doesn't matter how the equation changes as long as you find out whatx equals then that is the answer.
Answer:
1. x = 2
2. x = 14
3. x = 3
Step-by-step explanation:
1. 12 + 2x = 16
First, I did 16 - 12 which is 4. I did this because you want to know how much 2x is supposed to be fully, and you always want to do the opposite. like in this case it was addition so the opposite is subtracting. Next, the 2x is supposed to equal 4, and when you see 2x that means you have to multiply. So, 2 x 2 = 4. You can also do 4 divided by 2 equal 4. Finally, the answer for x is 2.
________________________________________________________
2. 12 + x = 26
So, you have to do 26 - 12 which is 14. I turned the addition problem to a subtraction problem because you always want to do the opposite. and you should already know that x will equal 14. you can double check if you want and change it back to addition which will be 12 + 14 = what ? 26 . so 14 is the answer for x !
________________________________________________________
3. 4x - 2 = 10
First, you want to do 10 + 2 which is 12. You should know by now if you read above for the other equations that you have to do the opposite. Next, 4x is going to have to be equal to 12. So, 4 x 3 = 12 or you can do 12 divided by 4 which will still equal 3. Finally the answer for x is 3.
________________________________________________________
Hope this helps !
here a fun quote
"Happiness is the secret to all beauty. There is no beauty without happiness." - Chirstian Dior
the midsegment of the trapezoid is RT. set up and equation and solve for x
Step-by-step explanation:
since it is the midsegment, all involved and related line segments follow the 1/2 factor.
so, the length of the midsegment is precisely in the middle between the lengths of the top and bottom lines.
in the first drawing
22 = x + (x - 10)
22 = x + x - 10
32 = x + x = 2x
x = 16
in the second drawing
x = 15 + (15 - 8) = 15 + 7 = 22
What is the longest chord of a circle? All chords are the same length. The radius is the longest. There is no way to tell. The diameter is the longest.
Answer:
A diameter is the longest chord of a circle.
The ratio of girls to boys in the sixth grade class is seven to six. If there are 84 girls, how many boys are in the sixth grade?
Answer:
72
Step-by-step explanation:
84/7 = 12
12 × 6 = 72
84 to 72
Answer:
72
Step-by-step explanation:
divide 84 by 7, and then multiply 12(what you got from the division) by 6 and you get 72
HHHEEELLLPPP MMMEEE PLEASE.
Given the equation y = -3x + 1/2 , what is the y-intercept?
-3
1/2
-1/2
3
Answer:
1/2
Step-by-step explanation:
C, 1/2
Step-by-step explanation:
Use the equation y = mx + b,
b is the y-intercept
m represents the slope
-3 = slope
1/2 = y-intercept
1/2 is your answer
hope this helps :) and that i got it right this time lol
30 POINTS! Combine the like terms of the 2 questions below:
1. y + 4 + 3(y + 2)
2. 0.5(x⁴ - 3) + 12
Answer:
[tex]\tt 1)\: \boxed{\tt 4y+10}[/tex]
[tex]\tt 2)\:\boxed{\tt 0.5x^4+10.5}[/tex]
Step-by-step explanation:
1) y + 4 + 3(y + 2)
Expand:-
[tex]\tt y+4+3y+6[/tex]
Combine like terms:-
[tex]\tt y+3y+4+6[/tex]
[tex]\boxed{\tt 4y+10}[/tex]
__
2) 0.5(x⁴ - 3) + 12
Expand:-
[tex]\tt 0.5x^4-1.5+12[/tex]
Add/Subtract Numbers:-
[tex]\boxed{\tt 0.5x^4+10.5}[/tex]
___________________
Between what two whole numbers does your answer lie in 30/8?
Answer:
3 and 4
Step-by-step explanation:
30/8=3.75
3.75 lies between 3 and 4
Hey there!
30/8
= 30 ÷ 2 / 8 ÷ 2
= 15 / 4
≈ 3 3/4
≈ 3.75
It falls in between three (3) and four (4). But, fun fact it rounds to up to four (4)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
In the ordered pair (2, 7), the number 2 is the y-coordinate.
In the ordered pair ( 2, 7 ) , the number 2 is the y-coordinate.
In the ordered pair ( 2, 7 ) , the number 2 is the y-coordinate.
The horizontal axis in a coordinate plane is the x-axis.
The horizontal axis in a coordinate plane is the x-axis. – The horizontal axis in a coordinate plane is the x-axis.
The y-axis is also called the origin.
Answer:
The origin is at (0,0) its where the x and y coordinate intersect.
Step-by-step explanation:
what was the question here?
Two angles of a triangle measure 37º and 54° respectively. Is this triangle acute, right or
obtuse?
Consider the line y=x+9.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
parallel: 1, perpendicular: -1
Step-by-step explanation:
slope of a parallel line is the same
slope of a perpendicular line is a negative recipricol
slope of y=x+9 is 1
parallel: 1
perpendicular: -1
If the volume of the pyramid is 12 cubic inches,
what is the height of the pyramid, in inches?
Answer:
6
Step-by-step explanation:
h=3(12/6)
If the probability of a family owning a cat is 0.10, the probability of owning a dog is 0.20, and the probability of owning a cat and a dog is 0.08, what is the probability of a family owning a cat or a dog?
Probability helps us to know the chances of an event occurring. The probability of a family owning a cat or a dog is 0.22.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given that the probability of a family owning a cat is 0.10, the probability of owning a dog is 0.20, and the probability of owning a cat and a dog is 0.08. Therefore, the probability of a family owning a cat or a dog can be written as,
Probability (family owning a cat or a dog)
= Probability (Cat) + Probability (Dog) - Probability (Cat And Dog)
[tex]\text{Probability (family owning a cat or a dog)} = 0.10+0.20-0.08 = 0.22[/tex]
Hence, the probability of a family owning a cat or a dog is 0.22.
Learn more about Probability:
https://brainly.com/question/795909
#SPJ1
16. Given that k is a real constant such that 0 < k < 1. Show that the roots of the equation kx2 + 2x + (1 – k) = 0, are С (i) Always real (ii) Always negative
Answer:
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]
Given equation: [tex]kx^2+2x+(1-k)=0[/tex]
[tex]\implies a=k,\:b=2,\:c=(1-k)[/tex]
[tex]\begin{aligned}\implies b^2-4ac & =(2)^2-4(k)(1-k)\\ & =4-4k(1-k)\\ & =4-4k+4k^2\\ & = 4k^2-4k+4 \end{aligned}[/tex]
Complete the square:
[tex]\begin{aligned}\implies 4k^2-4k+4 & =4(k^2-k+1)\\ & = 4\left[k^2-k+\left(\dfrac{-1}{2}\right)^2+1-\left(\dfrac{-1}{2}\right)^2\right]\\ & = 4\left[\left(k-\dfrac12\right)^2+\dfrac34\right]\\ & = 4\left(k-\dfrac12\right)^2+3\end{aligned}[/tex]
[tex]\textsf{As }\left(k-\dfrac12 \right)^2 \geq 0 \implies 4\left(k-\dfrac12 \right)^2+3\geq 3[/tex]
Therefore, the roots are always real.