Answers
Answer:
Option (B). Perimeter of the quadrilateral ABCD= 14.6 units
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).
Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
= [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83 units
Length of AD = [tex]\sqrt{(3-5)^2+(5-3)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83 units
Length of BC = [tex]\sqrt{(1-3)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
Length of DC = [tex]\sqrt{(5-3)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
Perimeter of the quadrilateral = AB + AD + DC + BC
= 2.83 + 2.83 + 4.47 + 4.47
= 14.6 units
Option (B) is the answer.
Related Questions
U Listen
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia
and her sisters reading rates, in pages per hour? this are the choices and the question. pls this is due in 10 min pls help
Answers
Answer:
6
Step-by-step explanation:
60 mins ÷5= 12. 12 x2=24
60 mins ÷6=10. 10x3=30
30-24=6
What is the length of the unknown leg in the right triangle?
A right triangle has a side with length StartRoot 23 EndRoot yards and hypotenuse with length StartRoot 87 EndRoot yards
Answers
Answer:
8Step-by-step explanation:
A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;
[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]
Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;
[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]
The length of the unknown leg in the right triangle is 8
Answer:
a. 8 yd
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{87}[/tex]
Length = [tex]\sqrt{23}[/tex]
x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²
x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²
x² = 87 - 23
x² = 64
[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]
x = 8 yd
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?
(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)
Answers
Answer:
Option C.
Step-by-step explanation:
The given table is
x f(x)
-4 0
-2 2
0 8
2 2
4 0
6 -2
A graph of a function intersect x-axis if the function contains the points whose y-coordinate is 0.
From the given table it is clear that the value of f(x) is 0 at x=-4 and x=4. It means, the continuous function intersect the x-axis at two point (-4,0) and (4,0).
Therefore, the correct option is C.
Answer:
it is c (-4,0), (4,0)
Step-by-step explanation:
Graph the following line on the axes provided:
F(x)=5/4x+1
Can you guys please help me am struggling with this
Answers
I need help with this question
Answers
-30(E+H=50)
-30E-30H=-1500
30E+60H=1950
(add the 2 equations)
0E+30H=450
H=15
(plug H into first equation)
E+15=50
E=35
Find the slope of the line that passes through the pair of points (10/17,2/17) and (9/17,13/18) a.-18/185 b. -185/18
Answers
Answer:
b) -185/18
Slope of the line [tex]m = \frac{-185}{18}[/tex]
Step-by-step explanation:
Explanation:-
Given two co-ordinates are
[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]
Slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]
[tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]
On simplification, we get
[tex]m = \frac{-185}{18}[/tex]
Yasmine earns $54 for dog walking. She walks her neighbors dog 12 times.
Write an equation that represent how to find the amount Yasmine earns per dog walk explain what your variable represents.
How much does Yasmine earn per dog walk.
Answers
Answer:
$4.5
Step-by-step explanation:
If the total price Yasmine earns was $54 and she walked her neighbors dog 12 times then we need to divde them.
54/12
= $4.5 So she earns $4.5 every time she walks her neighbors dog
What is the contrapositive of the following statement?
If M is the midpoint of PQ, then PM is congruent to OM.
If M is the midpoint of PO, then PM is congruent to OM.
If PM is congruent to OM, then M is the midpoint of PO.
If M is not the midpoint of PQ, then PM is not congruent to QM.
If PM is not congruent to OM, then M is not the midpoint of PQ
Answers
Answer:
For the statement;
If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]
The contrapositive statement is therefore;
If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]
Step-by-step explanation:
Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive
The contrapositive of the statement p → q is equal to ~p → ~q
Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement
Answer:
If M is not the midpoint of , then is not congruent to
Step-by-step explanation:
2 Points
For what values of x is the rational expression below undefined?
Check all that apply.
x-7
2x2 - 32
DA. 7
B. 4
D C.-7
OD. -2
0 E. -4
F. 2
Answers
Answer:
B and E
Step-by-step explanation:
Given the rational expression
[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
[tex]\frac{x-7}{2(x-4)(x+4)}[/tex]
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E
If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?
A. 3 Gallons
B. 20 Gallons
C. 6 Gallons
D. 1 Gallon
Answers
A. 3 Gallons
Step-by-step explanation:
1/3÷1/9
1/3÷1/9=1/3 x 9/1
(Then Multiply)
1x9/3x1= 9/3= 3
3 Gallons of paint
3 Galoons of paint is needed to pain the total gate.
What is unit rate?Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.
Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,
Since,
1/3 gallons of paint is = 1/9 part of the gate,
Therefore,
1 gate = 1/3 x 9 = 3
Hence 3 Galoons of paint is needed to pain the total gate.
Learn more about unit rates, click;
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HELPPPP ASAP !!!!!!!
A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
segment EF = 6 units
segment EF = 9 units
segment EF = 12 units
segment EF = 16 units
Answers
Answer:
Segment EF = 16 units
Step-by-step explanation:
First we will figure out our equation:
Line FD is adjacent to angle a.
Line EF is opposite to angle a
and line ED is the hypotenuse.
Since we will being using Tangent, the hypotenuse is irrelevant.
Tan a° = [tex]\frac{opposite}{adjacent}[/tex]
Now substitute:
[tex]tan \frac{3}{4} = \frac{x}{12}[/tex]
Multiply both sides by 12:
[tex](12)tan\frac{3}{4} =x[/tex]
Solve for tangent by using your calculator:
[tex]tan \frac{3}{4}= 1.333333333[/tex]
[tex](12)1.333333333= 16[/tex]
[tex]16 = x[/tex]
EF = 16 units.
Answer: the one above is correct
Step-by-step explanation:
Took the test!! :)
Ramona is training to run her first marathon, 26.2 miles. One kilometer is equal to approximately 0.62 miles. About how many kilometers is Ramona planning to run?
0.24 kilometers
16.25 kilometers
26.2 kilometers
42.25 kilometers
Answers
Answer:
42.25
Step-by-step explanation:
26.2 miles/ 0.62 miles= 42.25
Answer:
42.25
26.2 miles divided by 0.62 miles= 42.25
Step-by-step explanation:
use the data from the table to create a scatter plot. plot al the data points from the table.
Answers
Answer:
Place a point at
8,4
5,7
6,5
10,4
2,11
4,7
3,9
1,13
1,11
3,12
4,2
7,2
5,24
9,3
5,5
Step-by-step explanation:
Answer:
Put points on
8,4
5,7
6,5
10,4
2,11
4,7
3,9
1,13
1,11
3,12
4,2
7,2
5,24
9,3
5,5
Step-by-step explanation:
A. 1/2
B. 2
C. 1
D. -2
Answers
Is the C
Because 3+(-1) = 2
2:2= 1
Answer:
C
Step-by-step explanation:
4. A group of friends rents a boat to spend an afternoon on a lake. The boat rental has a flat fee of $180 for up to three hours and $50 per hour for each additional hour. The first four passengers are included in this cost, but $20 is charged for each additional passenger. Write a linear equation to describe this situation, where c is the total cost of the rental, h is each additional hour (over 3) and p is each additional passenger (over 4).
options:
A. c = 230h + 20p
B. c + 180 = 50h + 20p
C. c = 180 + h + p
D. c = 180 + 50h + 20p
Answers
Answer:
it is D c= 180 + 50h + 20p
Step-by-step explanation:
c is the total cost and the boat is 180 but for additional hour it would be +$50
now the first four passenger is free but if another person comes on then it would be +$20 hope this help
The linear equation which describes the total cost of the rental is c = 180 + 50h + 20p
The correct option is an option (D)
What is a linear equation?"It is an equation in which the highest power of the variable is always 1."
For given example,
The boat rental has a flat fee of $180 for up to three hours.
Fixed rental cost = 180 ...............(1)
The boat rental has $50 per hour for each additional hour.
Let, h is each additional hour (over 3)
So, the rental cost for each additional hour = 50h .............(2)
The first four passengers are included in this cost, but $20 is charged for each additional passenger.
Here, p is each additional passenger (over 4)
So, the rental cost for each additional passenger = 20p ..................(3)
From (1), (2) and (3),
the required linear equation would be,
c = 180 + 50h + 20p
Therefore, the linear equation which describes the total cost of the rental is c = 180 + 50h + 20p
The correct option is an option (D).
Learn more about a linear equation here:
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Find the quotient of 1 5/6÷ 2 1/8 Give your answer as a fraction in its simplest form.
Answers
Answer:
1 5/6 = 11/6
2 1/8 = 17/8
11/6 ÷ 17/8
11/6 × 8/17
= 44/51
Hope this helps.
Answer:2.67 or 4/2
Step-by-step explanation: it just is
Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?
Answers
Answer:
A
Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.
Answer:
A. 3 red squares to 6 green squares.
Step-by-step explanation:
We have 15 red squares for 30 green squares. The ratio is:
[tex]$\frac{15}{30} $[/tex]
Actually anything that is equivalent to the ratio [tex]$\frac{15}{30} $[/tex] would be the answer. Besides [tex]$\frac{3}{6}$[/tex] , other examples:
[tex]$\frac{1}{2} $[/tex]
[tex]$\frac{5}{10} $[/tex]
plz help ill mark u brainliest
Answers
Answer:
1/6
Step-by-step explanation:
P(3) = number of three's / total number of outcomes
= 1/6
What is the measurement of Angle J?*
Answers
Answer:
So anytime you have same sides on both legs. You will have same angles for both that are not 90 degrees. So if all angles add up to 180. 180-90 = 90. 90/2 = 45 degrees
Answer:
J = 45
Step-by-step explanation:
Since the two sides are the same, the base angles must be equal. Since it is a right triangle, the two angles share 90 degrees
90/2 = 45
Each angle is 45 degrees
J = 45
if you can do both that will be awesome. tysm
Answers
Answer:
8x + 16 = ?, (16+x) x 8
Step-by-step explanation:
plz help me with my question go to my profile and answer the most recent question i asked
Answer:
[tex]A=8(x+16)\\A=8x+128 \text{ units square}[/tex]
Four friends hosted a Graduation party: Genesis spent $21 for drinks, Mya spent $25 for food, Alina spent $16 for invitations, and Mylana spent $18 for decorations. The friends want to share the party expenses equally, and Alina will pay the entire amount she owes to one person. Who owes money to whom?
Answers
Answer:
Alina owes $4 to Mya and Mylana owes $1 to Mya and $1 to Genesis.
Step-by-step explanation:
As they want to share the party expenses equally, first you have to add all the expenses and divide them by 4 people to know the amount that each person has to pay:
$21+$25+$16+$18= $80/4= $20
As everyone has to pay $20 for the party expenses, we can see that Genesis spent $1 more and Mya $5 more, so they have to get the money back from the other 2 people.
Alina owes: $20-$16= $4. She owes $4 to Mya as she will pay the entire amount she owes to one person and Mya has to get $5 back.
Mylana owes: $20-$18= $2. She would have to pay $1 to Mya to complete the $5 she had to get back and $1 to Genesis.
The diameter of the Sun is about 1.4 x 10 to the 6th power km. The diameter of Earth is about 13,000 km.
What is the approximate ratio of the diameter of the Sun to the diameter of the Earth?
A. 1.08 x 10 to the 2nd power
B. 9.2 x 10 to the power of -3
C. 1.08 x 10 to the 3rd power
D. 9.2 x 10 to the 2nd power
Answers
Answer:
The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.
Step-by-step explanation:
In order to calculate the ratio of the diameter of the Sun to the diameter of the Earth we will first represent the Earth's diameter as a scientific notation, to do this we will add one to the power of ten for every time the comma walks to the left until there's only one number to the left. This is done to make the division easier,
[tex]d_{earth} = 1.3*10^4\text{ km}[/tex]
The ratio is given by the Sun's diameter divided by the Earth's, as shown below:
[tex]\text{ratio} = \frac{d_{sun}}{d_{earth}}\\\\\text{ratio}= \frac{1.4*10^6}{1.3*10^4} = 1.08*10^2[/tex]
The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.
What is the measure of 0?
Answers
Answer:
C. 4
Step-by-step explanation:
arc length = radius*θ ,
where θ is an angle in radians.
12 = 3*θ
θ = 12/3 = 4
PLEASE HELP!!!!By making minimum payments on a credit card, the consumer can A) avoid paying late fees B)pay off the balance quicker C)lessen the total amount owed D)avoid paying compounding interest
Answers
the answer is A).
Step-by-step explanation:
..........................
Answer:
I think B. I'm not sure though because i'm only 13 :(
Help please! Will give brainly! A rock is dropped from the top floor of a 500-foot tall building. A camera captures the distance the rock traveled, in feet, after each second. Use the information in the image to answer the question.
Answers
Answer:
Step-by-step explanation:
1. No it does not as the rock will accelerate downwards (because of gravity) but we can also see that at the first second the rock fell 16 feet compared to the 2 to 3 seconds gap where it fell 80 feet (144-64).
2. All the way down to the ground. Each time gap is getting bigger and bigger (it's accelerating) and the gap between 5 and 6 s should be bigger than 4 to 5 and it is not as the rock cannot fall through the ground but only hit the ground
you may have to change the english a bit and english is not my first language
hope this will help
What is the value of 4x- 7 when x=4?
Answers
Answer:
9
Step-by-step explanation:
4x- 7
Let x=4
4*4 - 7
16 -7
9
Answer:
9
Step-by-step explanation:
4(4)-7=16-7=9
Ishmail jogs around a track that is in the shape of a regular pentagon. One side of the pentagon is ¼ mile long. How far does Ishmail jog if he completes 6 laps around the track?
If the track was a hexagon, how far would Ishmail jog in 6 laps?
Answers
Answer:
Ishmail will jog 7 1/2=7.5 miles if he completes 6 laps around the track if the track is pentagon.
Ishmail will jog 9 miles if he completes 6 laps around the track, if the track is hexagon .
Step-by-step explanation:
length of one side of pentagon = 1/4 miles
we know that number of sides of pentagon = 5
thus, total length of pentagon = number of sides * length of one side of pentagon = 5* 1/4 = 5/4
If anyone takes 1 lap of pentagon he will travel 5/4 miles
then,If anyone takes 1*6 lap of pentagon he will travel (5/4)*6 miles
thus, in 6 laps 15/2 miles will be traveled.
Ishmail will jog 15/2 ( 7 1/2 )miles if he completes 6 laps around the track.
_______________________________________
we know that number of sides of hexagon = 6
thus, total length of hexagon = number of sides * length of one side of hexagon = 6*( 1/4) = 3/2 miles
If anyone takes 1 lap of hexagon he will travel 3/2 miles
then,If anyone takes 1*6 lap of hexagon he will travel (3/2)*6 miles
thus, in 6 laps, 9 miles will be traveled.
Ishmail will jog 9 miles if he completes 6 laps around the track.
Can someone help me ASAP with this
Answers
Answer:
C
Step-by-step explanation:
Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.
Circle X is shown. Points W, Y, and Z are on the circle. Lines are drawn through each point on the circle.
Which point is the center of the circle?
point W
point X
point Y
point Z
Answers
Answer:
Its point X
Step-by-step explanation:
Just did it on edge 2020
The point that is the center of the circle is point X
How to determine the center?The circle is given as:
Circle X
A circle is named after its center.
This means that the center of circle X is X
Hence, the point that is the center of the circle is point X
Read more about circles at:
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Order 0.12, 0.1, 0.02, and 0.21 in order from least to greatest.
Answers
This is the answer
0.02
0.1
0.12
0.21
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...