Answers
Answer:
See below.
Step-by-step explanation:
Perimeter: use the Distance Formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance from (-3, 4) to (4, 5) is
[tex]\sqrt{(5-4)^2+(4-(-3))^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt{2}[/tex]
Distance from (4, 5) to (2, -3) is
[tex]\sqrt{(2-4)^2+(-3-5)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}[/tex]
Distance from (2, -3) to (-4, 4) is
[tex]\sqrt{(-4-2)^2+(-4-(-3))}=\sqrt{36+1}=\sqrt{37}[/tex]
Distance from (-4, 4) to (-3, 4) is
[tex]\sqrt{(-4-(-3))^2+(4-(-4))^2}=\sqrt{1+64}=\sqrt{65}[/tex]
The perimeter is the sum of all these distances.
Area:
To find the area of the figure, one method is to draw a rectangle around the entire figure, then add line segments that cut up the unwanted area into rectangles and triangles, add those areas together, then subtract the total from the area of the surrounding rectangle. See the attached figure.
The surrounding rectangle has area 8 x 9 = 72 square units.
The unwanted areas (green rectangles and four triangles). Remember, the area of a triangle is (1/2)(length)(width).
Rectangle A: 1 x 1 = 1 square unit
Triangle B: (1/2)(7)(1) = 3.5 square units
Triangle C: (1/2)(8)(1) = 4 square units
Triangle D: (1/2)(8)(2) = 8 square units
Triangle E: (1/2)(6)(1) = 3 square units
Rectangle F: 2 x 1 = 2 square units
Total of unwanted area: 1 + 3.5 + 4 + 8 + 3 + 2 = 21.5 square units
Subtract this total from the surrounding rectangle's area to get
72 - 21.5 = 50.5 square units
Related Questions
Use elimination to find the solution to the system of equations. 9r + 2y = 59
2r + 5y = 4
A. I = I = 7, y = -2
В. 1 41 I = 2 , Y = 9
C. I = 5, y 14 5 55
D. 1 = 9, y = 2
Answers
Answer:
r = 7
y = -2
Step-by-step explanation:
9r + 2y = 59 (Multiply this by 5)
2r + 5y = 4 (Multiply this by -2)
45r + 10y = 295
-4r - 10y = -8
41r = 287
r = 7
2r + 5y = 4
2(7) + 5y = 4
14 + 5y = 4
5y = 4 - 14
5y = -10
y = -2
Which statement is true? 1. Parallelism are frameworks 2. A square is always a rhombus 3.A rhombus is always a square 4. A rectangle is a trapezoid
Answers
Answer:
2
Step-by-step explanation:
A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
• The diagonals bisect each other at 90°.
• Opposite sides parallel and of equal length
• The four angles of a square are equal.
A rhombus is a four sides quadrilateral with the four sides equal in length
The area of a rhombus =
where p and q are the two diagonals
Volume of a pyramid = 1/3 x ( length base x height)
The area of a circle is 161 in. What is the radius?
Answers
Answer:
Approximately 7.16 in
Step-by-step explanation:
Hi there!
Area of a circle equation: [tex]A=\pi r^2[/tex] where r is the radius
Plug in the given area 161 in.²
[tex]161=\pi r^2[/tex]
Divide both sides by π to isolate r²
[tex]\frac{161}{\pi} =\frac{\pi r^2}{\pi} \\\frac{161}{\pi} =r^2[/tex]
Take the square root of both sides to isolate r
[tex]=r^2\\\sqrt{\frac{161}{\pi}} =r\\7.16=r[/tex]
Therefore, the radius of the circle is approximately 7.16 in.
I hope this helps!
please help it’s my final
Answers
Answer:
-1/2
Step-by-step explanation:
y2-y1/x2-x1 is the formula
-2-(-1)/-6-(-8) = -1/2
Hope this helps.
Determine the equation of the circle graphed below.
Answers
We need to determine the equation of the circle graphed in the attachment. Firstly we know the Standard equation of a Circle as ,
[tex]\sf\implies (x-h)^2+(y-k)^2 = r^2[/tex]
Where ( h , k ) is centre and r is radius.Let's find out the radius . As ,
[tex]\sf\implies r = \sqrt{ ( 6-4)^2+(2+2)^2} \\\\ \sf\implies r =\sqrt{ 2^2 + 4^2}\\\\\sf\implies r = \sqrt{ 4 + 16 }\\\\\sf\implies \red{r =\sqrt{20}}[/tex]
Substituting the respective values :-
[tex]\implies ( x - 4 )^2 + \{y - (-2)\}^2 = (\sqrt{20})^2 \\\\\sf\implies ( x - 4 )^2 + \{y + 2 \}^2 = 20 \\\\\sf\implies x^2+16-8x + y^2+4+4y = 20 \\\\\sf\implies \red{x^2+ y^2 - 8x + 4y = 0 }[/tex]
Answer :-[tex]\boxed{\pink{\tt Equation \to x^2+ y^2 - 8x + 4y = 0 }}[/tex]
409. Свеже печурке садрже 81% воде, а
суве печурке 5% воде. Колико свежих
печурака је потребно да би се добило
5 kg сувих?
409. Fresh mushrooms contain 81% water, a
dried mushrooms 5% water. How fresh
mushrooms are needed to get
5 kg dry?
Answers
1, 9x=90
2,3x=36
find the value of x
Answers
Answer:
1. x = 10
2. x = 9
Step-by-step explanation:
131231231212312312312312312312312313131231231231231312312312
123123211231312132
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
5, 11, 17,...
Find the 35th term.
Answers
Answer:
35th term = 209
Step-by-step explanation:
The sequence is 5+6...+6
So since 5 is the first term, we add 34 times 6 in order to find the 35th term
5 + 34*6 = 209
In the design shown below, four semicircles are attached to a square whose area is 36 square centimeters. Which of the following is closest to the total area of the shaded semicircles, measured in square centimeters?
Answers
Answer:
56.549 cm (choice 1)
Step-by-step explanation:
If the area of the square if 36 cm, then each side is 6 cm.
That means the diameter for each semi circle is also 6 cm.
Formula for a semi circle is 1/2(πr²)
We need the radius, which is half the diameter. So the radius is 6÷2= 3
Now plug in to the formula.
A= 1/2(π3²)
A= 14.137 (nearest hundredths)
Now multiply that by 4, because there are 4 semi circles
4(14.137)= 56.549 cm (nearest hundredths)
may answer this pls whats 298+738
Answers
Answer:
1036
Step-by-step explanation:
Answer:
1036
Step-by-step explanation:
298 + 738 = ?
→ 298 + 738
→ 1036
Solve for X, -33= -5x+17
Answers
Answer:
5x=17+33
5x=50
x=10
Have a great day!
Answer:
182
Step-by-step explanation:
-5(-33)+17
165+17
=182
what is the y-intercept for 3x^2 + 2x - 1
Answers
Answer:
y- intercept = - 1
Step-by-step explanation:
To find the y- intercept , let x = 0 in the equation and evaluate for y
y = 3(0)² + 2(0) - 1 = 0 + 0 - 1 = - 1
y- intercept = - 1 or (0, - 1) in coordinate form
Answer:
Plug x=0 into the equation and solve the resulting equation
The y-intercept:
3x^2 + 2x - 1
3(0)^2 + 2x(0)- 1
0+0-1
-1
y=−1 is intercept for y
(0,−1)
Step-by-step explanation:
Please help this due today
Answers
Answer:
A
Step-by-step explanation:
just add all of them and divide it by six.
hey guys i have everything caught up but in science i have a 96 but a missing project. projects a worth 80 percent of your grade will i still pass? today’s the last day
Answers
Answer:
No
Step-by-step explanation:
Technically, if you didn't turn anything in then no. If it is truly 80% of your final grade then not turning anything in would drop your grade to an F immediately. Although for a single project to be worth 80% of the entire year's grade seems off. Usually, finals and projects are a large percentage, but are more around the 25% range and not 80%. Otherwise, a student could not do anything the entire year and simply do the project and still pass with a B. That is why the grading system is not usually designed like this.
What equation is equivalent to 2 - 3 (5x+2) = 6?
A) -15x - 4 = 6
B) -15x + 4 = 6
C) -5x - 2 = 6
D) -5x + 2 = 6
Answers
Remember that the negative sign in 3 is multiplied with the 2, resulting in -4 in the end. The answer is not B.
Assume that y varies inversely with x. If y = 4 when x = 6, find y when x = 2
Answers
Answer:
y = 12
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 4 when x = 6, then
4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )
24 = k
y = [tex]\frac{24}{x}[/tex] ← equation of variation
When x = 2 , then
y = [tex]\frac{24}{2}[/tex] = 12
In the figure above, lines x and y are
parallel and intersected by line p. What is
the value of a? ( please answer quickly )
Answers
Answer:
Step-by-step explanation:
a=180 -75
a=105 degree
what is formula of the volume of cylinder
Answers
Answer:
v = pi r² h
Step-by-step explanation:
thats the answer
If a function is defined by the formula y = 2x +1 and the domain is given by the set {3, 5, 7,9}
then which set below represents the range of the function?
(Please help)
Answers
Answer:
The range is {7, 11, 15, 19}
Step-by-step explanation:
Substitute the domain values in the formula
2x + 1
2(3) + 1 = 7
2(5) + 1 = 11
2(7) + 1 = 15
2(9) + 1 = 19
QUICK HELPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
First box-time
Second box-distance
Third box-correlation
Step-by-step explanation:
Horizontal is along the bottom.
Vertical in going up.
Correlation shows the relation between the horizontal and vertical axis.
What is 150 mm in metres (m)?
A.0.015
B.0.15
C.1.5
D.15
Answers
Answer:
.15 meters
Step-by-step explanation:
answer is B
Step-by-step explanation:
150 mm is 0.15 metres
The Rosarios are taking a trip midville is 248 miles from their home border city is 6 times as for how far is border city from their home
Answers
Answer:
Border City is 1488 Miles
Step-by-step explanation:
Do 248*6
PLEASE PLEASE HELP I NEED TO ACE THIS
angle c = ___ degrees
Answers
Angle D = ABC arc / 2
x + 100 = ABC arc / 2
ABC arc = 2 × ( x + 100 )
ABC arc = 2x + 200 ( ♡ )
_________________________________
Angle B = ADC arc / 2
3x = ADC arc / 2
ADC arc = 2 × 3x
ADC arc = 6x ( ☆ )
_________________________________
ABC arc + ADC arc = 360
( ♡ ) , ( ☆ ) :
( 2x + 200 ) + ( 6x ) = 360
8x + 200 = 360
8x = 360 - 200
8x = 160
x = 160/8
x = 20
____________________________
Thus :
Angle A = 5(20) - 3 = 97 degrees
Angle B = 3(20) = 60 degrees
Angle D = 20 + 100 = 120 degrees
____________________________
Sum of the interior angles of any four-sides figures are equal 360 degrees ,
Thus :
Angle A+Angle B+Angle C+Angle D = 360
97 + 60 + Angle C + 120 = 360
Angle C + 120 + 157 = 360
Angle C + 277 = 360
Angle C = 360 - 270 - 7
Angle C = 90 - 7
Angle C = 83 degrees
An umbrella manufacturer has 1584 umbrellas to pack for shipment one case will hold 38 umbrellas how many cases will the company need to ship all of their umbrellas
Answers
Answer: 42
Step-by-step explanation:
Given
An Umbrella manufacturer has [tex]1584\ \text{Umbrellas}[/tex]
One case will hold [tex]38[/tex] Umbrellas
Number of cases required to hold all the Umbrellas are
[tex]\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42[/tex]
Thus, 42 packs are required to hold all the Umbrellas
a pyramid has a height of 18 cm and base 12cm by 7cm find the length of the slant side
Answers
Answer:
18.57 centimeters
ayuda resta de fracciones
(+4/7) - (3/7)
Answers
Answer:
Step-by-step explanation:
=4/7-3/7
=4-3/7
=1/7
Answer:
Step-by-step explanation:
así que lo primero que harías es ... alinearlos así ...(el primer archivo)
Entonces para solucionarlo ...(El segundo archivo).
¡Espero que esto sea correcto y ayude!
Tina has ½ of a pan of cornbread leftover from a dinner party. She eats ½ of the leftover part the next night. How much of the whole pan does she eat? *
1/2
1/8
1/4
Answers
I need help with this problem
Answers
76
Explanation:
A ladder leans against the wall of a building. The ladder measures 66 inches and forms an angle of 45 degrees with the ground. How far from the ground, in inches, is the top of the ladder? How far from the wall, in inches, is the base of the ladder?
Answers
Answer:
46.67 in
46.67 in
Step-by-step explanation:
the value of the hypotenuse (length of the ladder ) is given. We are to determine the value of the opposite side (distance from the ground) and adjacent side ( distance from the wall)
(distance from the ground = sin 45 = opposite / hypotenuse
0.7071 = x/66
x = 66 x 0.7071 = 46.67
distance from the wall = cos 45 = adjacent / hypotenuse
0.7071 = x/66
x = 66 x 0.7071 = 46.67
HELP HELPMARKING THE PERSON WHO ANSWERS THIS FIRST AS BRAINLIEST ;
1) simplify -4/5 x 3/7 x 15/16 x (-14/9)
2) value of (2/5)x(-3/7) - (-3/7)x(3/5) = ?
Answers
Answer:
5/8
that's mah answer tht is correct