Answers
Answer:
[tex] \displaystyle d) 36 \: {in}^{2} [/tex]
Step-by-step explanation:
the polygon can be separated in two parts
rectangletrianglelet's figure out the area of the rectangle
recall that,
[tex] \displaystyle A_{ \rm rect} =l \times w[/tex]given that,
l=9w=3thus substitute:
[tex] \displaystyle A_{ \rm rect} =9\times 3[/tex]simplify multiplication:
[tex] \displaystyle A_{ \rm rect} =27[/tex]let's figure out the area of the triangle
remember that,
[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times b\times h[/tex]
substitute the value of b and h:
[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times 9\times 2[/tex]
reduce fraction:
[tex] \displaystyle A_{ \rm triangle} = 9[/tex]
now the area of the polygon would be the total area of the rectangle and triangle thus
[tex] \displaystyle A_{ \rm polygon} = 27 + 9[/tex]
simplify addition:
[tex] \displaystyle A_{ \rm polygon} = 36[/tex]
hence our answer is D)
Related Questions
The flags are all the same size and are space equally along the line. Calculate the length of the sides of each flag, and the space between flags by making a system of equations and solving that system..
Answers
Answer:
Step-by-step explanation:
Let the space between flags be "x" and the flag's side is "y"
2x + 3y = 80 ║ × ( - 2 )
5x + 6y = 170
- 4x - 6y = - 160 ..... ( 1 )
5x + 6y = 170 ..... ( 2 )
( 1 ) + ( 2 )
x = 10
2(10) + 3y = 80
y = 20
The space between flags is 10 cm
The flag's sides are the same size and is 20 cm
Kevin paid $8.21 for 6 gallons of gas. How much did one gallon of gas cost (rounded to the nearest cent)
Answers
Answer:
$1.37 (1.368333)
Step-by-step explanation:
6 divided by 8.21
I really don't understand i need help asap. They were asking to find f(-8)
Answers
Answer:
i dont get it either
Step-by-step explanation:
a Dhruv sold one second-hand car for 1,10,500 and two second-hand scooters for 7,500 each.
Answers
Answer:i actually dunno
Step-by-step explanation:
wat
Find the vertex of the parabola. y = 3x2 – 30x + 77 a (-2,-5) b. (-5, -2) C. (5,2) d. (2,5) Please select the best answer from the choices provided Ο Α OB ОС D
Answers
Answer:
[tex]\text{C. }(5,2)[/tex]
Step-by-step explanation:
The x-coordinate vertex of a parabola in standard form [tex]ax^2+bx+c[/tex] is equal [tex]\frac{-b}{2a}[/tex].
In [tex]y=3x^2-30x+77[/tex], we have:
[tex]a[/tex] equals 3[tex]b[/tex] equals -30Therefore, the x-coordinate of the vertex is equal to [tex]\frac{-(-30)}{2(3)}=\frac{30}{6}=5[/tex].
To find the y-coordinate, simply substitute [tex]x=5[/tex] into the parabola's equation:
[tex]y=3x^2-30x+77,\\y=3(5^2)-30(5)+77,\\y=75-150+77,\\y=-75+77=2[/tex]
Thus, the vertex of the parabola is [tex]\boxed{(5,2)}[/tex]
There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?
Answers
Answer:
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Step-by-step explanation:
Give
[tex]Good = 4[/tex]
[tex]Bad = 3[/tex]
Required
[tex]P(Good\ and\ Bad)[/tex]
This is calculated as:
[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]
So, we have:
[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]
[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]
[tex]P(Good\ and\ Bad) = 12/49[/tex]
One of the factors of 34 is chosen at random. What is the probability that the factor is itself a two digit number?
Answers
The positive whole-number factors of 30 are:
1, 2, 3, 5, 6, 10, 15 and 30.
So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that
P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors
=38=3×.125=.375
Find the volume of the figure shown below.
A)14 units^3
B)9 units^3
C)None of these answers
D)There’s not enough info
E)24 units^3
Answers
Answer:
E. 24 units³
Step-by-step explanation:
the volume = 4×3×2 = 24
Solve the system of equations
4x + 2y + 1 = 1
2x − y = 1
x + 3y + z = 1
Answers
Answer:
x = 1/4
y = -1/2
z = 9/4
Step-by-step explanation:
Here we have a system of 3 equations with 3 variables:
4*x + 2*y + 1 = 1
2*x - y = 1
x + 3*y + z = 1
The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:
2*x - y = 1
2*x - 1 = y
Now that we have an expression equivalent to "y", we can replace this in the other two equations:
4*x + 2*(2*x - 1) + 1 = 1
x + 3*(2*x - 1) + z = 1
Now let's simplify these two equations:
8*x - 1 = 1
7*x - 3 + z = 1
Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:
8*x - 1 = 1
8*x = 1 + 1 = 2
x = 2/8 = 1/4
Now that we know the value of x, we can replace this in the other equation to find the value of z.
7*(1/4) -3 + z = 1
7/4 - 3 + z = 1
z = 1 + 3 - 7/4
z = 4 - 7/4
z = 16/4 - 7/4 = 9/4
z = 9/4
Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:
y = 2*(1/4) - 1
y = 2/4 - 1
y = 1/2 - 1
y = -1/2
Then the solution is:
x = 1/4
y = -1/2
z = 9/4
I need help it please
Answers
Answer:
5 minutes of practice it shows at the bottom
What is the answer to 8x < 48
Answers
Answer:
x<6
hope this helps
have a good day :)
Step-by-step explanation:
Someone please help.
Answers
Answer:
Slope = -17
Step-by-step explanation:
We are given the equation of the line to be:
y = -17x + 47/3 which is in the slope-intercept form.
Recall: equation of a line in slope-intercept form takes the following format:
y = mx + b
Where,
m = slope of the line
b = y-intercept of the line
Thus, the slope of the line (m), y = -17x + 47/3 would be -17
Pablo deposits $5000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 6years?
Answers
Answer:
$5900
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: A = P(1 + rt)
P is principle amountr is ratet is time (in years)Step-by-step explanation:
Step 1: Define
Identify variables
P = 5000
r = 3% = 0.03
t = 6
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: A = 5000(1 + 0.03 · 6)(Parenthesis) Multiply: A = 5000(1 + 0.18)(Parenthesis) Add: A = 5000(1.18)Multiply: A = 5900How does the mean absolute deviation (MAD) of the data in set 2 compare to the mean absolute deviation of the data in set 1?
Set 1: 16, 15, 10, 12
Set 2: 16, 62, 15, 10, 12
The MAD of set 2 is 10 less than the MAD of set 1.
The MAD of set 2 is 13.35 more than the MAD of set 1.
The MAD of set 2 is 10 more than the MAD of set 1.
The MAD of set 2 is 13.35 less than the MAD of set 1.
Answers
Answer: B, That the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.
Step-by-step explanation:
Answer:
the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.
Step-by-step explanation:
the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.
You have a flight at 7:30 you have 1 hour and 27 minutes to get ready and 30 minutes to get to the airport what time do you wake up
Answers
Answer:
5:33 am
Step-by-step explanation:
You need to be at the airport at 7:30
Subtract 30 minutes for travel
7:30 -30 = 7:00
You need 1 hour and 27 minutes to get ready
Subtract 1 hour
7-1 =6:00 am
Subtract 27 minutes
6:00 am - 27 minutes
5: 60 - 27 ( Remember there are 60 minutes in 1 hour)
5:33 am
You need to get up at 5:33 am
Check
5:33 plus 1 hr 27 minutes = 7:00 am + 30 minutes travel = 7:30 am
In the parallelogram below x=?
Answers
Answer:
x = 12
Step-by-step explanation:
The sides are congruent
5x - 17 = 3x + 7
Subtract 3x from both sides
2x - 17 = 7
Add 17 to both sides
2x = 24
Divide both sides by 2
x = 12
Answer:
X=0.8
Step-by-step explanation:
First collect all the light terms '7' and '17' '-17+7=-10'
And '3x' and' 5x' '3x+5x=8x'
So if you put this as an equation you will have '8x=-10'
Next you do 8 divided -10
Then you get 0.8
Instructions: Find the value of x
Please help
Answers
The two chords are the same length given by the 4 short lines through each section.
Because the chords are the same length they need to be equal distance from the center of the circle
X = 9
2x + 5y = 17
what is x
what is y
Answers
Answer:
x = (17 - 5y)/2
y = (17 - 2x)/5
Step-by-step explanation:
nothing else can be done here.
if you are looking for actual numbers as solution, then you have forgotten to put something important here.
to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.
A right triangle ABC is shown below:
The are of the triangle above will equal one-half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8) (1 point)
Answers
please answer thanks
Answers
Answer:
ED = 31
DT = 20
Step-by-step explanation:
m< ESD = 90-52=38°
the distance ED = 40×tan 38° = 31.25 = 31
ET = 40 x tan (90-38) = 40×tan 52°
= 51.19= 51
the distance DT = 51-31 = 20
Helppppppppppppppppppppppppppp the question is post on my page
Answers
GHK has been reflected over what line to create the resulting image?
Answers
Answer: y=x
Step-by-step explanation:
how do you find the rate of change for a function over a given interval
Answers
Step-by-step explanation:
Differentiate it. You will be given a value of x. Substitute into the differentiated equation use the formula for rate of change. You will find the answerFormula:
[tex]\frac{\alpha y}{\alpha x} =\frac{dy}{dx }[/tex]
20 points & Brainliest to the one who gets ALL of them correct! NEED HELP ASAP!!! Due today!!!
Verify these Identities & SHOW YOUR WORK:
1. cosx−cosxsin²x = cos³x
2. [tex]\frac{sinx}{1+cosx}[/tex] = [tex]\frac{1-cosx}{sinx}[/tex]
3. cos⁴b−sin⁴b = 1−2sin²b
4. [tex]\frac{siny+cosy}{siny}- \frac{cosy-siny}{cosy}[/tex] = [tex]\frac{secy}{cosy}[/tex]
5. (secx−tanx)² = [tex]\frac{1-sinx}{1+sinx}[/tex]
HELP!!!
Answers
Answer:
30
Step-by-step explanation:
Answer: go on mathaway!!!
Step-by-step explanation:
This dosent really help with ur question but mathaway is free and got me through math
solve the following equation algebraically ? please !
Answers
Answer: A
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
The opposite of squared is square root, so you'll have to square root 192 and you'll get the answer 13.86.
The reason it is B, because the x could have been negative, when you're squaring a negative you get a positive. that's why B is the answer because we do not know if it's the negative or positive.
help................................................
Answers
9514 1404 393
Answer:
B.
Step-by-step explanation:
Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)
For t=0, C(0) = 50000(0.9^0) -2000 = 480000
For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500
The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.
The coordinates of parallelogram UVWZ are U(a, 0), W(c − a, b), and Z(c, 0). Find the coordinates of V without using any new variables.
(a, b)
(b, 0)
(c, b)
(0, b)
Answers
Answer:
C
Step-by-step explanation:
Your welcome! :) Good luck!
rectangular garden width 2.3 meters and a length of 2.8 meters what is the area
Answers
Answer:
area = 2.3 x 2.8
area is 6.44 meters
Step-by-step explanation:
area is length multiplied by width
What is the 11th term of the sequence 7, -21, 63
Answers
Answer: 413343
Step-by-step explanation:
This is a geometric progression. First and foremost, we've to find the common ratio which will be:
= 2nd term / 1st term
= -21/7
= -3
The formula to find the 11th term will be:
= ar^n-1
where,
a = first term = 7
r = common ratio = -3
n = number of terms = 11
Therefore, ar^n-1 = 7 × -3^11-1
= 7 × -3^10
= 7 × 59,049
= 413343
Therefore, the 11th term of the sequence is 413343.
Factorise x2 - 2x - 3
Answers
x= -1,3
This is the answer
The factorization of x² - 2x - 3 is (x+1)(x-3).
The given quadratic equation is,
x² - 2x - 3
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
Hence to factorize we can write the given quadratic equation as,
⇒ x² - 3x + x - 3
⇒ x(x-3) + (x - 3)
⇒ (x+1)(x-3)
Hence,
x² - 2x - 3 = (x+1)(x-3)
To learn more about quadratic equation visit:
https://brainly.com/question/30098550
#SPJ6