Answers
Answer:
Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]
[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]
The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.
Related Questions
20 points! pls helppppp it's almost recognition day for me!!
I'm sorry but i'm bad at math ;-;
using the given figures, find the values of the unknown variables
(PROVING ISOSCELES TRAPEZOID)
Answers
2. x = 32, y = 52
3. x = 4, y = 5
assuming that all the shapes are regular
Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?
Answers
Answer:
A. (x − p) (x + p) = x² - p²
B. (x – 5) (x + 7) = x² + 2x - 35
C. (x + p) (x + p) = x² + 2px + p²
Step-by-step explanation:
To find - Multiply and match each of the following expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
Proof -
A.)
The expression is - (x − p) (x + p)
Now,
(x − p) (x + p) = x(x + p) - p(x + p)
= x(x) + x(p) - p(x) - p(p)
= x² + xp - px - p²
= x² - p²
⇒(x − p) (x + p) = x² - p²
B.)
The expression is - (x – 5) (x + 7)
Now,
(x − 5) (x + 7) = x(x + 7) - 5(x + 7)
= x(x) + x(7) - 5(x) - 5(7)
= x² + 7x - 5x - 35
= x² + 2x - 35
⇒(x − 5) (x + 7) = x² + 2x - 35
C.)
The expression is - (x + p) (x + p)
Now,
(x + p) (x + p) = x(x + p) + p(x + p)
= x(x) + x(p) + p(x) + p(p)
= x² + xp + px + p²
= x² + 2px + p²
⇒(x + p) (x + p) = x² + 2px + p²
ASAP!! ILL GIVE BRAINLEST
In any given pair of similar three dimensional figures, if the ratio of the sides is a:b, then the ratio of
the surface areas is...
A:B
A^3:B^
A^-1:B^-1
A^2:B^2
Answers
Explanation:
It is 3 dimensional, so the surface area would be 3x bigger, so A^3:B^
Gerardo makes $18 per hour at Starbucks. Tomorrow he is going to receive a raise totalling 20% of his hourly wage. What will he be making per hour straying tomorrow.
Answers
to get his wage for the next day, you would do 18x1.2, which equals 21.6, so he would now be making $21.6 per hour.
Someone help me with this pls
Answers
Answer:
5-² is your correct answer
Answer:
=5^10/5^12
= 5^10-12
=5^-2
Is this a polygon or trapezoid?
Answers
Answer:
No
Step-by-step explanation:
this is my opinion so No
Someone answer this for me
Answers
Answer:
I think it is B or 17 ft
Step-by-step explanation:
Hope this helps. Tell me if I'm wrong
Answer: Probably 30
Step-by-step explanation: If you multiply 12 x 5 = 60, which we don't see that answer. I'll say C because 12 + 12 is 24. Add 5 and you get 29. The closer answer to 29 is 30. I could be wrong because I'm only in Middle School and kinda get confused with questions like these.
Find the volume of this right rectangular
prism.
3 in
9 in
. 3 in
[ ? ]in3
Answers
Answer 8.1
Step-by-step explanation:
3 x 9 x 0.3 = 8.1
Which is a number that can be written as a fraction in the form /?
Answers
Answer:
the third one/second one
Step-by-step explanation:
Please help I’m strugglinggg Oml and this is due right now
Answers
Answer:
i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh
Step-by-step explanation:
Margaret is going on vacation to Alaska. She has 13 sweaters and needs to choose 6 to take with her on vacation. How many ways can she choose the 6 sweaters to take? Question 7 options: 1,716 1,235,520 78 575
Answers
Answer:
1,716
Step-by-step explanation:
I just took the quiz.
Someone help me with this pls
Answers
answer:
=y^(-4+3)
=y^ (-1)
Find the area of the complex figure below.
A. 84 in^2
B. 90 in^2
C. 96 in^2
D. 102 in^2
Answers
there are 10 children in line. four are girls the rest are boys. which number sentence can be used to find the number of boys in line?
Answers
Answer:
Im sorry i dont understand what you mean by sentence but there are 6 boys
Step-by-step explanation:
The box plot below represents some data set. What percentage of the data values are between 20 and 55?
Answers
Step-by-step explanation:
the solution is self explanatory
Write an exponential function in the form y=b^x that goes through the points (0,9) and (3,4608)
Answers
Answer:
y = 9 * bˣ
Step-by-step explanation:
y = a * bˣ
9 = a * b⁰ = a * 1
a = 9
4608 = 9 * b³
b³ = 512
b = 8
y = 9 * bˣ
please help me with full calculations
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.
find the volume of the figure
Answers
Answer:
1920
Step-by-step explanation:
Volume of larger rectangular prism: 10 * 8 * 14 = 1120
Volume of smaller rectangular prism: 10 * 10 * 8 = 800
Volume of whole prism: 1120 + 800 = 1920
Hence, your answer is 1920
The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?
Answers
Answer:
The average distance from venus to mars is 2.5x10⁸ kilometers.
Step-by-step explanation:
We know:
d₁: average distance between venus and earth = 2.5x10⁷ km
d₂: average distance between mars and earth = 2.25x10⁸ km
We can find the average distance from venus to mars as follows:
[tex] d_{t} = d_{1} + d_{2} [/tex]
First, we need to equal the base power 10 so we can sum both distances:
[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]
Now, average distance:
[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]
Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.
I hope it helps you!
Please help I'm struggling
Answers
Answer:
the first is 1/5 what are the other options
Step-by-step explanation:
Which ones the right answer?
Answers
The answer is D. (7,8)
You are able to count from 0 to ten, and you always put the x number first!
Hope this helps :)
Help correct get brainly lol
Answers
Answer:
there are seven variable terms
Step-by-step explanation:
variables are letters (a, b, c, etc.)
i hope this helps :)
Answer:
The answer is 4 because are all separate variables (also combines into one variable)
Step-by-step explanation:
If the perimeter of the polygon is 42, AB = ______?
Answers
Answer:
AB = 7
Step-by-step explanation:
The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.
Perimeter = 6 x length of one side
If you plug everything you know in the equation, you would get...
42 = 6 x length of one side
42 ÷ 6 = 7
So, 7 is the length of AB, since in a hexagon, all sides are the same length.
The length of side AB is 7.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
The given polygon is a hexagon since it has 6 faces.
Now,
The six faces are equal in length.
So,
6 faces length = 42
Now,
Each face = x
And,
6x = 42
x = 42/6
x = 7
Thus,
The length of AB is 7.
Learn more about regular polygons here:
https://brainly.com/question/24328525
#SPJ
What are all the zeros of the function f(x) = 4x^2 + 8x + 3?
Answers
Answer: -1/2 and -3/2
Step-by-step explanation:
I think I’m not sure
1.On field day, the P.E. coach divides the students into two groups, Positives and Negatives. He wants to have the same amount of students of each group on each side of a rope, to play Tug-of-War.
He uses the following expression to figure out how many students of a certain group he still needs to create an even match.
–5 + 20
Evaluate the expression and write the answer below. Write only a number, either positive or negative. No letters
Answers
Answer:
-15
Step-by-step explanation:
because -5 + 20 = -15.
The coach needs 15 negative players to join the negative team in order to get 20 players (which would make the teams even)
7=x + 2x - 5 - 58
Show work please
Answers
Answer:
x= 23.33
Step-by-step explanation:
7=x+2x-5-58
combine like terms
7=3x-63
add 63 to both sides
70=3x
divide by 3
x=23.33
Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.
Answers
if A={1,2,3,4} and B={3,4,5,6} are two sets,find (A-B).
Answers
Step-by-step explanation:
[tex](A-B) = ( - 2, \: - 2, \: - 2, \: - 2)[/tex]
Terry rents a kayak while he is on vacation. He is required to pay a deposit of $95 plus an additional $11.50 per day. Terry only has $150 to spend on kayaking. Write and solve an inequality you can use to determine the maximum number of days Terry can afford to rent a kayak.
Answers
Answer:
A maximum of 4 days
Step-by-step explanation:
Inequality: 95 + 11.50x ≤ 150
Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.
95 + 11.50x ≤ 150
-95 -95
11.50x ≤ 55
/11.50 /11.50
X=4.78260869565
You would round down since he has a budget.
What is the area of a circle with a diameter of 5.4
P.S Show work
Answers
Explanation: You divide 5.4 by 2 to get the radius. The radius is 2.7 The formula for area of a circle is πr^2. You square 2.7 and get 7.29π and then multiply by 3.14 or leave it as 7.29π