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!
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Answer:
b
Step-by-step explanation:
What is the probability of getting a head with the flip of a coin?What is the probability of getting a head with the flip of a coin?
1/2
hope it helps...!!!
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
Mr. Rodriguez is assembling supply kits for his students. He has 24 pencils and 32 erasers. All the kits must have the same number of each item, and all items must be used.
Check your work on Zearn.
1. What is the largest number of kits Mr. Rodriguez can make?
The largest number of kits Mr. Rodriguez can make is
kits.
2. How many pencils and erasers will be in each kit?
pencils and
erasers will be in each kit.
Answer:
1) 8
2) 3pencils 4erasers
Step-by-step explanation:
Given 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]
The volume of a rectangular prism is 200 cubic inches. If the area of the base is 20 square inches, what is the height of the prism?
Step-by-step explanation:
volume of rec. prism = area base × height
200 = 20 × height
height = 10 inch
Convert (87.1352) 10 to base 8
Answer:
It comes out to around 127
Step-by-step explanation:
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)
I will make Brainliest
Answer:
x+2 - and x+6
Step-by-step explanation:
Anny is not a very good driver, so she drives really slow. She normally drives at a speed of 50 miles per hour if it is not raining, and 30 miles per hour if it is raining. Today she drove in the sun in the morning and in the rain in the afternoon, for a total of 120 miles in 180 minutes. How many minutes did she drive in the rain?
Answer:
9.1s
Step-by-step explanation:
Since we know that velocity is uniformly decelerating, we can take the average velocity: Letting Vf equale 0 /ms, we get 1/2 21.8ms or 10.9ms. Now we know V = D/T and rearranging this gives T = D/V. Substitute our velocity of 10.9m/s for V and 99m for D: T = 99m/ 10.9ms. finally we get T = 9.1s
Hope This Helps :)
The time in which Anny drives in the rain is 90 minutes. This is calculated by using the speed-distance-time formula.
Relationship between distance, time, and speed:Speed is the ratio of distance traveled to the time taken for traveling.
Speed=distance/time
Unit: m/s
Given data:It is given that,
Anny drives at a speed of 50 miles per hour if it is not raining and drives at a speed of 30 miles per hour.
Today she drove in the sun in the morning and the rain in the afternoon, for a total of 120 miles in 180 minutes.
Calculation:Consider x be the time required to drive not in the rain and y be the time required to drive in the rain
So, the distance covered (not in the rain) = 50x (since the speed is 50 mile/h), and the distance covered (in the rain) =30y (since the speed is 30 miles/h)
Therefore, the total distance covered both in rain and without rain is:
50x+30y=120 (since the total distance she drove is 120 miles)
And the total time required for driving in rain and without rain is:
x + y=3 (since 180 minute = 3 hours)
On solving the above equations we get,
x=[tex]\frac{3}{2}[/tex] and y=[tex]\frac{3}{2}[/tex]
Then,
y=[tex]\frac{3}{2}[/tex]×60(minute)=90 minute
Therefore, the time taken for her to drive in rain is 90 minutes.
Refer to more distance-related problems here:
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a class has five students what is the probability that four of the students were born on a weekday
Answer:
0.3718688642
Step-by-step explanation:
Weekdays consist of 5 days and weekends consists of 2 days. ... In case if you do not know, there are 7 days in a week.
The probability of one student who were born on a weekday
= 5/7
The probability of one student who were born on a weekend
= 2/7
This question then can be solved by using the binomial distribution formula,
[tex]P(X = 4) = \binom{5}{4} { (\frac{5}{7}) }^{4} {( \frac{2}{7}) }^{1} \\ = 0.3718688642 [/tex]
can anyone help me find x, please?
Answer:
86°
Step-by-step explanation:
Two sides of the triangle are equal
=> ∠A = ∠C
And since ∠A = 47°
=> ∠C = 47° & ∠B = x°
Now, according to Angle sum property of a triangle
=> ∠A + ∠B + ∠C = 180°
=> 47° + x + 47° = 180°
=> 94° + x = 180°
=> x = 180 - 94 = 86°
Therefore x = 86°
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 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
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.
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!
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:
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At Mr. Donald's farm, there are 35 chickens and 50 cows. What is the ratio of the number of cows to the number of chickens at Mr. Donald's farm?
Answer:
the ratio is 50:35 or 50 to 35 or 50/35
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
Which of the following types of reproduction involve the cell cycle
Budding
Binary fission
Spore Formation
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:
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]
Carolyn lives near two parks. Centennial Park is 2 km away and Canatara Park is 2,548 meters away. Canatara Park is located closer to Carolyn. Is this true or false?
True
False
Answer:
it is False
Step-by-step explanation: i also did this test
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:
Two angles of a triangle measure 37º and 54° respectively. Is this triangle acute, right or
obtuse?
The seasonal demand for a particular product is given below: Period 1 2 3 4 5 6 Demand 300 450 100 450 450 100 The fixed parameters are: Fixed Cost $8 Unit Production Cost $1 Holding Cost $ 1.3 Calculate total ordering cost using following three methods: i) Lot-for-Lot ii) Wagner-Whitin algorithm iii) Fixed order quantity
The ordering cost using the Lot-for-Lot method is 900.06.
How to calculate the cost?The ordering cost using the Lot-for-Lot method will be calculated thus:
C = Q/2(H) + D)Q(S)
C = 450/2(4) + 100/450(3)
C = 450(2) + 30/45
C = 900 + 0.7
C = 900.7
The ordering cost using Wagner-Whitin algorithm will be:
= 300 + 900 + 300 + 1700 + 2150 + 600
= 5750
The ordering cost using fixed order quantity will be:
= 6/(300 + 450 + 100 + 450 + 450 + 100)
= 6/1850
= 0.00324
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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
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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
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A company makes electronic components for TV's. 0% pass final inspection. 110 components are inspected in one day. What is the expected value of the number that fails inspection in one day?
a.
0
b.
110
c.
100%
d.
11
Please can you help me please don’t send for me link !
Answer:
C
Step-by-step explanation:
Based only on the information given in the diagram, it is guaranteed that
ARST - AUVW
5
067
R
Л
w
A. True
B. False
Answer: True
Step-by-step explanation:
There are two pairs of congruent angles, meaning the triangles are similar by AA.
It is true that based on the given information triangle RST is similar to triangle UVW by the AA similarity postulate.
What are Similar triangles?Similar triangles are triangles that have the same shape but are different in size. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.
Here,
Since a figure is given with two triangles, RST and UVW.
From the figure, we can see that there are two angles that are equal, are given as;
∠R=∠U [measure is 67°]
∠T=∠W [measure is 90°]
Thus, it is true that based on the given information triangle RST is similar to triangle UVW by AA similarity postulate.
Learn more about similar triangles here:
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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