PLEASE HELP ME:
Find the perimeter of the figure. Round to the nearest tenth.
Answers
Answer:
perimeter = 20.9 units
Step-by-step explanation:
perimeter
perimeter = distance around two dimensional shape
= addition of all sides lengths
perimeter of the figure= AB+BC+CD+ADdistance formula:
[tex]d = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} } [/tex]
1) distance of ABA(-3,0) B(2,4)
x1 = -3 x2 = 2
y1 = 0 y2 = 4
(substitute the values into the distance formula)
[tex]ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} } [/tex]
[tex]ab = \sqrt{5 {}^{2} + 4 {}^{2} } [/tex]
[tex]ab = \sqrt{41} [/tex]AB = 6.4 units
2) distance of BCB(2,4) C(3,1)
x1 = 2 x2 = 3
y1 = 4 y2 = 1
[tex]bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} } [/tex]
[tex]bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} } [/tex]
[tex]bc = \sqrt{10} [/tex]
BC = 3.2 units
3) distance of CDC(3,1) D(-4,-3)
x1 = 3 x2 = -4
y1 = 1 y2 = -3
[tex]cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} } [/tex]
[tex]cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }[/tex]
[tex]cd = \sqrt{65} [/tex]
CD = 8.1 units
4) distance of ADA(-3,0) D(-4,-3)
x1 = -3 x2 = -4
y1 = 0 y2 = -3
[tex]ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }[/tex]
[tex]ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} } [/tex]
[tex]ad = \sqrt{10} [/tex]
AD = 3.2 units
perimeter of figure= AB+BC+CD+AD
= 6.4 + 3.2 + 8.1 + 3.2
= 20.9 units
Related Questions
someone help. Simplify: (1/a)^3
Answers
Answer:
1/a3 is the simplify expression for the equation
Find f(-2), if f(x)=-3x^2-5x+11
Answers
Answer:
f(-2) = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -3x² - 5x + 11
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = -3(-2)² - 5(-2) + 11Exponents: f(-2) = -3(4) - 5(-2) + 11Multiply: f(-2) = -12 + 10 + 11Add: f(-2) = -2 + 11Add: f(-2) = 9Can someone please help me with this question:3.225 x 8.06=?
Answers
Answer:
25.99350
Step-by-step explanation:
3 . 2 2 5
× 8 . 0 6
1 1 1 3
0 . 1 9 3 5 0
2 1 2 4
2 5 . 8 0 0 0 0
2 5 . 9 9 3 5 0
Bentley spun a spinner with 4 equal sections labeled 1–4. The spinner landed on 1 three times, on 2 four times, on 3 six times, and on 4 three times. For which number is the experimental probability the same as its theoretical probability? Explain.
Answers
Answer:
2
Step-by-step explanation:
Experimental probability : (Number of times event occur / total number of trials)
Total Number of trials = (3 + 4 + 6 + 3) = 16
Experimental probability :
For 1: P(1) :
3/16
For 2 : P(2) :
4/16 = 1/4
For 3: P(3)
6 /16 = 3/8
For 4 : P(4)
3 / 16
Theoretical probability :
The Theoretical probability of 1, 2, 3 and 4 are the same ;
Theoretical probability =
(Required outcome / Total possible outcomes)
For each of 1 - 4
Theoretical probability = 1 /4
Experimental probability of P(2) = 1/ 4 and is Hence, the same as the Theoretical probability
Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
Answers
Answer:
Inequality (1) → y > 2x
inequality (2) → x ≥ -2
Step-by-step explanation:
If the inequality (1) is a dotted line passing through origin.
Since, shaded area is above the dotted line,
Equation of the inequality will be in the form of y > mx +b
Here m = slope of the dotted line
b = y-intercept
Since, this line is passing through the origin,
Therefore, y-intercept = 0
Slope 'm' of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{2}{1}[/tex]
m = 2
Inequality (1) → y > 2x
Second inequality is represented by the shaded area on the right side of the dark vertical line, x = -2,
Therefore, inequality 2 will be → x ≥ -2
Answer: x≽-2 and y>2x
what is 1/4 of 84 and hury please
Answers
Answer:
21
Step-by-step explanation:
Alyssa sold half of her comic books and then bought 8 more. She now has
12. How many did she begin with ?
Answers
Answer:
8 Books
Step-by-step explanation:
First find how many she had before buying 8 more-
12 - 8 = 4
Then multiply that by 2
4 x 2 = 8
The had 8 books to begin with
6th grade math help me plz
Answers
PLEASE PLEASE HELP ME I WILL MARK BRAINLIEST
Answers
Answer:
x = -25i
x = 25i
Mark and his cousin are playing a game where they pick up colored sticks. Mark currently has 45 points and likes to pick up the orange sticks, earning 5 points every turn. His cousin just lost all his points on the previous turn, and has a strategy to catch up by getting all the white ones, earning 14 points per turn. In a certain number of turns, the score will be tied. How long will that take? How many points will they each have?
Answers
Answer:
they have total 30 point
Hi! Okay so I need someone to solve these 2 please! Ty! I will give brainliest!!! :))
Answers
Answer:
Phoebe spent the same as 25% of $80.
Nicholas spent less than $40.
Step-by-step explanation:
Please see the attached pictures for the full solution.
24 birthdays in 100 days. What
percent of days are birthdays?
Answers
Answer:
24%
Step-by-step explanation:
24/100 =.24 which as a percent is 24%
Graham spent a total of $15.05 on 10 apples and a packet of strawberries. If a packet of strawberries cost $2.55, how much did each apple cost? 15.05*10 + 2.55
Answers
Answer: $1.25
Step-by-step explanation:
Given
Graham spends a total of $15.05 on 10 apples and a packet of strawberries
Cost of strawberries packet $2.55
Suppose the cost of each apple is x
So, [tex]10x+2.55=15.05[/tex]
On solving
[tex]\Rightarrow10x=15.05-2.55\\\Rightarrow10x=12.5\\\Rightarrowx=\frac{12.5}{10}=\$1.25[/tex]
The cost of each apple is $1.25
Solve for x.
A
3x - 6
130°
8x+4
Answers
Answer:
x = 12
A = 30
Step-by-step explanation:
Here, we want to solve for the value of x
The angle at the top of the triangle is 8x + 4
The reason for this is because vertically opposite angles are equal
Mathematically;
8x + 4 + 3x - 6 = 130
The reason for this is that opposite interior angles equal the exterior angle
Thus;
8x + 3x + 4- 6 = 130
11x -2 = 130
11x = 130 + 2
11x = 132
x = 132/11
x = 12
The value of A is 3x - 6
A = 3(12)-6
A = 36-6
A = 30
OMG PLS GET THIS RIGHT ILL MARK CROWN
Answers
The correct answers are E and C.
Una torta de queso para 4 personas presisa 300g de queso, 10ml de leche, 100g de azucar, 100g de mantequilla y 50g de harina, si queremos hacer una tarta para 6 personas, qué cantidad de ingredientes necesitaremos?
Answers
Answer:
Por tanto, la cantidad de ingredientes necesarios para 6 personas es:
450 g de queso, 15 ml de leche, 150 g de azúcar, 150 g de mantequilla y 75 g de harina.
Step-by-step explanation:
Por lo tanto:
Para queso
4 personas = 300g de queso
6 personas = x
Cruz multiplicar
4x = 6 × 300g
x = 6 × 300 g / 4
x = 450 g de queso
Por 10ml de leche
4 personas = 10 ml de leche
6 personas = x
Cruz multiplicar
4x = 6 × 10 ml
x = 6 × 10 ml / 4
x = 15 ml
Por 100 g de azúcar
4 personas = 100 g de azúcar
6 personas = x
4x = 6 × 100g
x = 6 × 100 g / 4
x = 150 g de azúcar.
Por 100 g de mantequilla
4 personas = 100 g de mantequilla
6 personas = x
4x = 6 × 100g
x = 6 × 100 g / 4
x = 150 g de mantequilla
Por 50 g de harina
4 personas = 50 g de queso
6 personas = x
4x = 6 × 50g
x = 6 × 50 g / 4
x = 75 g de queso.
Por tanto, la cantidad de ingredientes necesarios para 6 personas es:
450 g de queso, 15 ml de leche, 150 g de azúcar, 150 g de mantequilla y 75 g de harina.
What is the point-slope equation of a line if the slope is 3 and it passes through the point (-9, 2
Answers
Answer:
The point-slope equation of the line is y - 2 = 3(x + 9)
Step-by-step explanation:
The form of the point-slope equation is y - y1 = m(x - x1), where
m is the slope of the line(x1, y1) is a point on the line∵ The slope of a line is 3
∴ m = 3
∵ The line passes through point (-9, 2)
∵ x1 = -9
∴ y1 = 2
→ Substitute the values of m, x1, and y1 in the point-slope form
∵ y - y1 = m(x - x1)
∴ y - 2 = 3(x - (-9))
→ Remember (-)(-) = (+)
∴ y - 2 = 3(x + 9)
∴ The point-slope equation of the line is y - 2 = 3(x + 9)
Evaluate y=5x+7, for x=3.
Answers
What is the approximate volume of the sphere? Use and round to the nearest whole cubic unit. 42 cubic units 126 cubic units 4187 cubic units 73,385 cubic units
Answers
The question is incomplete, the complete question is;
The radius of the sphere is 10 units.What is the approximate volume of the sphere? Use π = 3.14 and round to the nearest whole cubic unit. cubic units
Answer:
4187 cubic units
Step-by-step explanation:
According to the question;
radius (r) = 10 units
π = 3.14
Volume of a sphere = 4/3*π*r^3
Substituting values;
V = 4/3*(3.14)*(10)^3
V = 4186.67 cubic units
V = 4187 cubic units (To the nearest whole cubic unit)
Answer:
It's C on Edge
Step-by-step explanation:
I need help plz and thank u sm
Answers
Answer:
5x + 3
Step-by-step explanation:
Since we can see DC is the median of Triangle ABC
So it breaks the into two equal parts
Given
AD = 2x + 5
BD = 3x - 2
Now
AB = AB + BD
= 2x + 5 + 3x - 2
= 5x + 3
Hope it will help :)❤
Marla's test scores were 93, 81, 77, and 97. What is Marla's test average?
Answers
Her test average was 87%
93 + 81 +77+97 = 348
348/4= 87
Answer:
87
Step-by-step explanation:
Hi!
First you add all of the numbers up together:
77+81+93+97= 348
Next, you divide the answer you got above by how many numbers are in your data set:
348/4 = 87
4 because 77,81,93,97 thats four numbers :)
Therefore, Marla's test average is 87!
So anytime you need find the average of any data set, you just add all the numbers together, then divide by the quantity of numbers there are.
i need help quick for this math question
Answers
Answer:
i think option 3
Step-by-step explanation:
im not sure but i think
Answer:
Option 3
Step-by-step explanation:
Hoped I helped like plss
Mr. Selan loves the 99-cent menu at Wendy's (sadly prices went up a few years ago). He used to buy two chicken sandwich at 99-cents each. With a tax of 8.5%, how much would he pay for the two sandwiches? Round your answer to the nearest cent
Answers
Answer:
Mr. Selan would pay $2.15 for the sandwiches with tax.
Step-by-step explanation:
Given that:
Cost of each sandwich = 99 cents
Cost of two sandwiches = 99*2 = 198 cents
Sales tax = 8.5%
Sales tax = [tex]\frac{8.5}{100}*198=16.8\ cents[/tex]
Sales tax = 17 cents
Total cost = 198 + 17 = 215 cents
Total cost = $2.15
Hence,
Mr. Selan would pay $2.15 for the sandwiches with tax.
What is HL?
HL =
(in the attachment)
Answers
Answer:
try 21
Step-by-step explanation:
if not im as stuck as you are :(
brain list you
ω please
Answers
Answer:
C
Step-by-step explanation:
A caterer prepares twice as many pizzas as she usually prepares for a large party. The caterer usually prepares 6 pizzas. The caterer also estimates that each party guest will eat
1
2
of a pizza.
Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is .
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.
The pizzas can serve guests.
Answers
please answer for 20 points
Answers
Answer:
C
Step-by-step explanation:
whenever you see a (as in ax^2 + bx+c) as a number other than 1, you should see if you can factor that out
2(6x^2 -x -1)
= 2(3x+1) (2x-1)
Answer:
2\(3x+1)(2x-1\)
Step-by-step explanation:
does anyone know how to expand 2 (x + 3)
Answers
Answer:
2(x + 3) = 2x + 6
Step-by-step explanation:
Here, we want to expand
2(x + 3)
To do this, we simply multiply the term outside the bracket with each of the terms inside it
That will be;
(2 * x ) + (2 * 3)
= 2x + 6
Which is the midpoint of AB with A(-1, 5) and B(6, -3)?
Answers
Answer:
abcdef
Step-by-step explanation:
In order to solve the equation x/8=-3. Step by step please
Answers
Answer:
-24
Step-by-step explanation:
1. Multiply both sides of the equations by 8 to get rid of the 8 in x/8
2. 8 cancels out and we are left with x=-3 x 8
3. -3 times 8 is -24