16. For quadrilateral ABCD, determine the most precise name for it. A (-2, 3), B (9, 3), C (5, 6) and D (2, 6). Show your work and explain.
Answers
Answer:
Trapzoid
Step-by-step explanation:
Given: A (-2, 3), B (9, 3), C (5, 6) and D (2, 6)
We will find the slope of each line.
Formula:
[tex]\text{Slope, m}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\text{Slope of AB, m}_1=\dfrac{3-3}{9+2}=0[/tex]
[tex]\text{Slope of BC, m}_2=\dfrac{6-3}{5-9}=-\dfrac{3}{4}[/tex]
[tex]\text{Slope of CD, m}_3=\dfrac{6-6}{2-5}=0[/tex]
[tex]\text{Slope of AD, m}_4=\dfrac{6-3}{2+2}=\dfrac{3}{4}[/tex]
Slope of AB = Slope of CD = 0
[tex]m_1=m_3=0[/tex]
Thus, AB is parallel to CD
Slope of BC ≠ Slope of AD
[tex]m_2\neq m_4[/tex]
Thus, BC is not parallel to AD
The quadrilateral ABCD has two sides are parallel and two are not parallel.
Hence, The quadrilateral is trapzoid
Related Questions
The figure below shows a right triangle:
What is r ÷ q equal to? (6 points)
sin y°
sin x°
tan x°
tan y°
Answers
r/q= sin y
I got sin y,
or option one
Hope this helps ;3
The value based on the information given about the right angle will be such that r ÷ y is sin y°.
It should be noted that the sine of an angle is calculated as:
Sine = Opposite / Hypotenuse
Based on the information given, it can be seen that r is the angle that's facing y° while q units is hypotenuse. Therefore, the value based on the information given that r ÷ y will be sin y°.
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PLEASE HELP ME QUICKLY!!!!!!!!!!!!!!
Answers
ANSWER: The first choice
To get to the second equation, you have to multiply the first equation by 4. Then, add the 2 equations. Doing this will eliminate the y variable from the equations.
This is called the elimination method. When you use this method, your goal is to eliminate 1 variable, so you can solve for the other variable.
Best of luck,
MrEQ
Find the 7th term of the arithmetic sequence -5x-8,-x-14,3x-20,...
Answers
d = a₂ - a₁
= x-14 - (-5x-8)
= -x - 14 + 5x + 8
= 4x-6
a(n) = a₁ + (n-1)d
a₇ = -5x-8 + (7-1)(4x-6)
= -5x-8 + 6(4x-6)
= -5x - 8 + 24x - 36
= 19x - 44
(Sin3 theta + cos 3 theta / sintheta + cos theta) + sin theta cos theta
Answers
-----------------------------------------------------------------
sin theta + cos theta
[tex]\bf \cfrac{\underline{[sin(\theta )+cos(\theta )]}~~[sin^2(\theta )-sin(\theta )cos(\theta )+cos^2(\theta )]}{\underline{sin(\theta )+cos(\theta )}}+sin(\theta )cos(\theta ) \\\\\\ \cfrac{sin^2(\theta )-sin(\theta )cos(\theta )+cos^2(\theta )}{1}+sin(\theta )cos(\theta ) \\\\\\ sin^2(\theta )\underline{-sin(\theta )cos(\theta )}+cos^2(\theta )\underline{+sin(\theta )cos(\theta )} \\\\\\ sin^2(\theta )+cos^2(\theta )\implies 1[/tex]
Barbara is building a wooden cabin. The cabin is 42 meters wide. She obtained a bunch of 27 meters long wooden beams for the roof of the cabin. Naturally, she wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams?
Answers
To find this answer, it is always best to draw a picture of the building. The point of the roof, will be directly over the middle of the cabin. Therefore, we could draw an altitude down from the top to the cabin and create a right triangle.
This would form a triangle with an adjacent side and hypotenuse with our needed angle.
We could write and solve the following cosine equation:
cos(x) = 21/27
x = 38.9
The angle of elevation is 38.9° if Barbara is building a wooden cabin. The cabin is 42 meters wide. She obtained a bunch of 27 meters long wooden beams for the roof of the cabin.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Width of the cabin = 42 meters
Wooden beam length = 27 meters
Since opposite beams would meet exactly in the middle.
The half of the beam width = 42/2 ⇒ 21 meters
As we can see in the right angle triangle:
[tex]\rm cosx = \frac{21}{27}[/tex]
[tex]\rm x = cos^{-1}(\frac{21}{27} )[/tex]
x = 38.9°
Thus, the angle of elevation is 38.9° if Barbara is building a wooden cabin. The cabin is 42 meters wide. She obtained a bunch of 27 meters long wooden beams for the roof of the cabin.
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If f(x) = 9x – 7 and g(x) = 2x2 – 3x + 1, what is (f + g)(4)?
a. -8
b. 8
c. 34
d. 50
Answers
Answer:
D. 50
Step-by-step explanation:
[tex]f(x) = 9x - 7 \\ g(x) = 2x {}^{2} - 3x + 1 \\( f + g)(x) = 9x - 7 + (2x {}^{2} - 3x + 1) \\ (f + g)(x) = 2x {}^{2} + 6x - 6 \\ (f + g)(4) = 2(4 ){}^{2} + 6(4) - 6 \\ (f + g)(4) = 32 + 24 - 6 \\ (f + g)(4) = 56 - 6 \\ (f + g)(4) = 50[/tex]
A cube with side length 2f is stacked on another cube with side length 3g2. Choose the expression that represents the total volume of the cubes.
Answers
The volume of a cube is found by multiplying its length, width, and height; for the first cube, this is
V=(2f)(2f)(2f)=8f³.
For the second cube, this is
V=(3g²)(3g²)(3g²)=27g⁶.
The total area is their sum, so 8f³+27g⁶.
Answer:
the answer is c
Step-by-step explanation:
What is the perimeter of this equilateral triangle?
Answers
18+18+18 = 54
the perimeter is 54 cm
At a local store you find the following prices listed:
Tape 2 rolls for $1.28
Notepads 3 pads for .87
Highlighters 1 for 1.59
Pens 2 for 1.98
How much would you pay for one roll of tape, two note pads, two highlighters, and two pens?
A. $4.50
B. $6.38
C. $8.07
D. $5.72
Answers
Find the cost of each individual item.
1.28 / 2 = 0.64
Each roll of tape costs $0.64.
0.87 / 3 = 0.29
Each notebook costs $0.29.
Each highlighter costs $1.59.
1.98 / 2 = 0.99
Each pen costs $0.99.
One roll of tape is $0.64, two notepads are $0.58 two highlighters cost $3.18, two pens are 1.98.
Add them up: .
0.64 + 0.58 + 3.18 + 1.98 = 6.38
ANSWER:
You would pay B. $6.38.
1 roll Tape= $1.28÷2= $0.64
2 rolls Notepads= 0.87÷3= 0.29x2= $0.58
2 Highlighters= $1.59x2= $3.18
2 Pens= $1.98
Add these totals:
+0.64
+0.58
+3.18
+1.98
=$6.38
ANSWER: B) $6.38
Hope this helps! :)
Una was asked to write about predicting population means by taking the means of samples. She recorded a list of some statements generated from her classmates. Which statements are true? Check all that apply. The best prediction of the population mean is the value that falls between the least and greatest sample means. It is unlikely that the population mean will be the least or greatest mean from the samples. If the means of different samples are close in number, or have small variation, then they cannot be used to make predictions for the actual population. A more accurate prediction of the population mean can be made by decreasing the number of random samples. Samples are a random selection of data values from a population. To find the range of the sample means, subtract the least value from the greatest value.
Answers
Answer:
1, 2, and 5.
Step-by-step explanation:
The best prediction of the population mean is the value that falls between the least and greatest sample means.
It is unlikely that the population mean will be the least or greatest mean from the samples.
To find the range of the sample means, subtract the least value from the greatest value.
Hope that is helpful ¯\_(ツ)_/¯
The correct statements for the population mean are 1, 2, and 5.
What is the population mean?The population mean formula basically calculates the group's arithmetic mean by adding up all the data points and dividing the result by the total number of items in the sample.
The correct statements are given below:-
The best prediction of the population mean is the value that falls between the least and greatest sample means.It is unlikely that the population mean will be the least or greatest mean from the samples.To find the range of the sample means, subtract the least value from the greatest value.To know more about the population mean follow
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Given f(x)=4x2−5 and g(x)=x+3 .
What is (fg)(x) ?
Answers
Answer:
[tex](fg)(x)=4x^3+12x^2-5x-15[/tex]
First option is correct.
Step-by-step explanation:
We have been given that
[tex]f(x)=4x^2-5[/tex]
[tex]g(x)=x+3[/tex]
We know that [tex](fg)(x)=f(x)g(x)[/tex]
Hence, we have to find the product of f(x) and g(x)
[tex](fg)(x)=(4x^2-5)(x+3)[/tex]
Apply distributive property
[tex](fg)(x)=4x^2\cdot x+4x^2\cdot3-5x-5\cdot3[/tex]
Simplifying, we get
[tex](fg)(x)=4x^3+12x^2-5x-15[/tex]
First option is correct.
Anita says CD can also be called DC. Do you agree?Explain
I'm talking about line segments
Answers
10,11, and 12 please and show work
Answers
5 x 1,000,000 5.3 x 0.0001
5,000,0000 x 0.00053 = 2,650
2,650
The length of a rectangle is 5 more than 3 times its width. Find the length and width of the rectangle with an area of 182 square units.
PLEASE EXPLAIN.
Answers
x------------> the length of rectangle
y-----------> the width of rectangle
A----------> area of rectangle
we know that
A= 182 units²
A=x*y ------------> x*y=182 --------> equation 1
and
the length of a rectangle is 5 more than 3 times its width
then
x=5+3*y-------------> equation 2
substitute 2 in 1
(5+3y)*y=182--------> 5y+3y²=182------------> 3y²+5y-182=0
using a graph tool------------> I solve the quadratic equation
see the attached figure
the solution is
y=7
x*y=182-----------> x=182/7----------> x=26
the answer is
the length of rectangle is 26 units
the width of rectangle is 7 units
The length and width of the given rectangle with area of 182 square units is; Length = 26 units and width = 7 units
Area of a Rectangle
Let the length of the rectangle be x
Let the width of rectangle be y
Let the area of rectangle be A
Formula for area of rectangle is;
A = length * width
Thus;
A = xy
We are told that area is 182 square units. Thus;
xy = 182 sq.units -----(eq 1)
Also the length of the rectangle is 5 more than 3 times its width. Thus;
x = 3y + 5 ------(eq 2)
Put 3y + 5 for x in eq 1 to get;
y(5 + 3y) = 182
3y² + 5y = 182
3y² + 5y - 182 = 0
Using online quadratic equation calculator gives; y = 7
Thus; x = 182/7
x = 26
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F(x) = 2x2 – 4x – 3
0 = 2x2 – 4x – 3
3 = 2(x2 – 2x)
3 + 1 = 2(x2 – 2x + 1)
4 = 2(x – 1)2
2 = (x – 1)2
± = x – 1
1 ± = x
Mica is solving for the zeros of a quadratic function by completing the square. Her work is shown. What error did Mica make?
ANSWER CHOICES
Mica should have set each x = 0 instead of f(x).
Mica should have added 2 to 3 instead of 1.
Mica should have multiplied both sides by 2 instead of dividing.
Mica should have subtracted 1 from both sides instead of adding.
Answers
She factored out a 2 on the righthand side, so adding 1 within the parentheses is equivalent to adding 2 outside the parentheses. Since this is an equation, what we do to one side, we must do to the other, so Mica should've added 2 to the lefthand side.
Divide.
refer to the picture
Answers
The remainder is 28x^2 +10x +22.
helpppppppppppppppppppppp
Answers
-1
Explanation:
3π / 4 = (3*180) / 4 = 135 degrees
Since 135 is in the 2nd quadrant, therefore:
tan (135) = - tan (45) = -1
cot θ = 1/tanθ
Therefore:
cot (3π / 4) = 1/tan(3π / 4)
cot(3π / 4) = -1
Hope this helps :)
Need Help. I will give a thanks and rate you 5 stars.
2. A tree that is 10 yards tall casts a shadow 14 yards long. Find the angle of elevation from the tip of the shadow to the top of the tree. Round to the nearest degree.
A. 54
B. 36
C. 46
D. 44
3. Use the Law of Sines to find the missing side of the triangle. Find b.
A. 70.1
B. 43.8
C. 57.1
D. 31.5
4. For a triangle ABC, find the measure of AB given m A. 45.22
B. 96.68
C. 88.19
D. 81.12
5. Use the Law of Cosines to solve the problem. On a baseball field, the pitchers mound is 60.5 feet from home plate. During practice, a batter hits a ball 216 feet. the path of the ball makes a 34 angle with the line connecting the pitcher and the catcher, to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. How far does the outfielder throw the ball?
A. 207.4 ft
B. 224.3 ft
C. 169.3 ft
D.
Answers
tan θ=opposite/adjacent
tan θ=10/14
θ=arctan 10/14=
θ=35.5~26°
5. c^2=a^2+b^2-2abcos C
c^2=60.5²+216²-2*60.5*216cos34
c^2=28,648.524
c=169.255~169.3 ft
Could someone please help me with this?
Answers
The exact answer is sqrt(170)
The approximate answer is roughly 13.0384
=======================================
Explanation:
We have a right triangle with two known sides. Use the pythagorean theorem to find the third side
Known sides:
a = 7
b = 11
Unknown side is c which is the hypotenuse (longest side)
a^2 + b^2 = c^2
7^2 + 11^2 = c^2
49 + 121 = c^2
170 = c^2
c^2 = 170
c = sqrt(170)
c = 13.0384
Note: the last value is approximate
Julia and Maya are walking towards each other. When they started, the distance between them was 1600 feet. What will be the distance between them in 2.5 minutes, if they walk with the same speed: 80 feet per minute?
Answers
Walking 2.5 minutes at 80 ft/min is walking a distance of 200 ft. Each person walks 200 ft towards the other; 200*2 = 400 ft off of the distance; 1600-400 = 1200 ft.
You can use the distance formula: d = rt, where d is the distance, r is the rate, and t is the time.
d = 80 ft/min x 2.5 min
d = 200 ft for each of them
1600 - 200 - 200 = 1200 feet
They are 1200 feet away from each other.
Bluesky air has the best on-time arrival rate with 80% of its flights arriving on time. a test is conducted by randomly selecting 16 bluesky air flights and observing whether they arrive on time. what is the probability that 2 flights of bluesky air arrive late? (please carry answers to at least six decimal places in intermediate steps. give your final answer to the nearest four decimal places).
Answers
(nCr)(p^r)(q^(n-r)), where n = 16 (total # of flights), r = 14 (flights that arrive on time)
(16C14)(0.8^14)(0.2^2) = 0.2111
The problem can be solved by using the binomial probability formula. We know that the binomial model deals with the probability of success of an event in a series of experiments. Plug the values into the binomial formula to find the probability that 2 flights out of 16 selected flights will arrive late.
Explanation:This problem can be solved using the binomial probability formula. The binomial distribution model deals with finding the probability of success of an event that has only two possible outcomes in a series of experiments, such as a coin toss.
Given that the probability of a flight arriving on time is 80%, the probability (p) for a flight arriving late is 20% or 0.2. We are looking for the probability that 2 out of 16 flights arrive late. This is a binomial problem where n=16 (the number of trials), k=2 (the number of successes), and p=0.2 (probability of success).
The binomial formula is P(X=k) = C(n, k) * (p^k) * (1-p)^(n-k)
where C(n, k) is a combination that calculates the number of possible combinations of n items taken k at a time, without regard to the order of selection.
So, to solve this problem:
First, calculate C(16, 2).Second, calculate (0.2^2).Third, calculate ((1-0.2)^(16-2)).Lastly, multiply those three results together to get the final probability.The probability that 2 flights out of 16 selected flights will arrive late can be computed by plugging these values into the binomial formula.
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Find the radius of a circle with the equation 2x2+y2-6x+2y-45=0
Answers
center:(3/2,-1)
vertex1:(3/2,-1+√202/2)
vertex2:(3/2,-1-√202/2)
focus1:(3/2,-1+√101/2)
focus2:(3/2,-1-√101/2)
I hope this helps!!!!!!!!!!
please help I don't understand this
Solve for x
2/(9x) = 4/7
18/7
I don't know
- 18/7
7/18
- 7/18
Answers
____________________________________________________
Explanation:
____________________________________________________
Given:
____________________________________________________
2 / (9x) = 4 / 7 ; solve for "x" ;
____________________________________________________
Cross-multiply:
→ (9x)*4 = 2 * 7 ;
→ 36x = 14 ;
Divide each side of the equation by "36" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 36x / 36 = 14 / 36 ;
x = 14/ 36 ;
→ x = 14/36 = (14÷2) / (36÷2) = 7/18 ;
______________________________________________________
The answer is: " [tex] \frac{7}{18} [/tex]" ;
→ which is: Answer choice: [C]: " [tex] \frac{7}{18} [/tex]" .
______________________________________________________
A pizza place is offering 20% discount off all it's pizzas Ali orders a pizza for the reduced price of £5.60 Work out the original price
Answers
You can get this by dividing the new price by .8, which is the 80% that is left from the original price.
PLEASE HELP >.<
Use Pascal's triangle to expand the binomial (d-5)^6
please solve step by step
Answers
Answer:
what that guy said
Step-by-step explanation:
How do I find X in this math problem?
Answers
97 +x = 64 +27 . . . . the relevant geometric relationship
x = 64 +27 -97 . . . . subtract 97
x = -6 . . . . . . . . . . . do the arithmetic
In ancient Egypt, surveyors made right angles by stretching a rope with evenly spaced knots as shown. Explain why the ropes forms a right angle
Answers
3²+4²=5²
9+16=25
With the sides of the triangle being 3, 4 and 5, the perimeter would be 3+4+5=12.
In ancient Egypt, surveyors made right angles by stretching a rope with evenly spaced knots. The tensions in the rope on either side of the right angle were equal, resulting in the formation of a right angle.
Explanation:In ancient Egypt, surveyors made right angles by stretching a rope with evenly spaced knots. The ropes formed a right angle because the angles on either side of the rope were equal. When the rope was stretched taut, the tensions in the rope on either side of the right angle were equal. This resulted in the formation of a right angle.
1. is not consided a high risk investment
A- investing in stocks
B- inversting in cds
C- investing in start up ventures
D-investing in entrepreneurial activities
2. the dow is where are exchanged
A-certificates of deposit
B-bonds
C-stocks
D-companies,
Answers
Write the percent as a decimal and as a fraction.
215% (1 point)
2.15; 2 1/20
2.15; 2 3/20
21.5; 21,1/2
21.5; 21, 3/10
Just tell me what one what it is..
I'LL GIVE A MEDAL (:,
Answers
in one u.s city, the taxi cost is $2 plus 0.08 per mile. if you are traveling from the airport, there is and additional charge of $4.50 fir tolls. How far can yoh travel from the airport by taxi for 34.50?
Answers
x = number of miles.
y = total cost in $
We write the equation that adapts to the problem:
y = 2.08x + 4.50
For y = 34.50 we have:
34.50 = 2.08x + 4.50
We clear x:
x = (34.50-4.50) / (2.08)
x = 14.4 miles
Answer:
You can travel from the airport by taxi for 34.50 about 14.4 miles.