Answer:
610m^2
Step-by-step explanation:
break the polygon into two rectangles as shown in attachment
I have labeled the new length A
A = 50 - 18
A = 32 m
area of rectangle 1 = l x w
= 5 x 32
= 160m^2
area of rectangle 2 = l x w
= 18 x 25
= 450 m^
area of polygon = rectangle 1 + rectangle 2
= 160 + 450
= 610m^2
{ 2 x [4 - (6 ÷ 2)]} x 3
Answer:
6x^2
Step-by-step explanation:
Answer:
6x²
Step-by-step explanation:
(2x(4 - (6 ÷ 2))) × 3x
(2x(4 - 3)) × 3x
2x(1) × 3x
2x × 3x
6x²
Then find the values of x and y?
Answer:
x=76
Step-by-step explanation:
y+8=3y
-2y=-8
y=4
104*2=208
360-208=152
152/2=76
x=76
Helpp plzz will mark brainleast
Answer:
a d e
Step-by-step explanation:
hope this helps mark me brainleast :)
Help I’ll give extra points
Hey does anyone please can help me with this
Answer:
Step-by-step explanation:
A study is done to find the 95% confidence interval for the difference in means between the ACT scores between two schools in a given city. One school had a random sample of 39 students had a sample mean of 25.90 with a sample standard deviation of 3.49. The second school had a random sample of 37 students had a sample mean 27.70 with a sample standard deviation of 2.47. What is the lower bound of the 95% confidence interval for the difference in means
Solution :
95% confidence interval for the difference between the means of ACT scores between two schools, is given by :
[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]
[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]
[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]
[tex]$n_1=39, \ \ n_2=37$[/tex]
M.E. , Margin of error,
[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]
[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]
[tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]
= 9.222
s = 3.03
[tex]$t_{74,0.05} = 1.99$[/tex]
[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]
= 1.4
Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]
= [-3.2, -0.4]
Therefore, the lower bound is -3.2
determine a if x-2 is a factor of f(x)=x^4-3x^3+ax^2-16x+20
Answer:
x-2 is factor so 2 is zero of f(x) =x^4-3x^3+ax^2-16x+20
Step-by-step explanation:
2^4-3×2^3+a×2^2-16×2+20
solve this Answer is come.THANK YOU.
If (x - 2) is a factor of the polynomial f(x) = x⁴ -3x³ + ax² -16x + 20.
Then the value of a is -17.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
A polynomial,
x⁴ -3x³ + ax² -16x + 20.
If x - 2 is a factor the x = 2 is the zeros of the polynomial.
When x = 2,
then,
x⁴ -3x³ + ax² -16x + 20 = 0
2⁴ -3(2)³ + a(2)² -16(2) + 20 =0
48 + 20 + 4a = 0
4a = -68
a = -17
Therefore, the value of a is -17.
To learn more about the Polynomials;
brainly.com/question/11536910
#SPJ2
Tucker and Jeremy went scuba diving in the ocean together. Tucker dove to a depth of -115 feet, while
Jeremy dove to a depth of -109 feet. Who dove deeper into the ocean?
Can somebody tell me exactly what to put in the answer please
Answer:
I am sorry I don't know it, but once I find out I will tell you
Step-by-step explanation:
Answer:
Cylinder has no sharp points but cone as sharp edge.
27leejaey avatar
I hope that helps :D
Step-by-step explanation:
Cylinder has no sharp points but cone as sharp edge.
27leejaey avatar
I hope that helps :D
Can someone help please with unit 12 homework 7??
Answer:
See answers below
Step-by-step explanation:
Using the sin rule
a/sinA = b/sinB = c/sinC
a) x/sin110 = 16/sin27
xsin27 = 16sin110
xsin27 = 15.035
x = 15.035/sin27
x = 33.1
2) Using the cosine rule;
x² = 30²+14²-2(30)(14)cos125
x² = 900 + 169 - 840cos125
x² = 1069 - 840(-0.5735)
x² = 1069 +481.80
x² = 1,550.80
x =39.4
3) 28² = 18²+12²-2(18)(12)cosx
784 = 324 + 144- 432cosx
784 - 468 = - 432cosx
316 = - 432cosx
Cos x = -316/432
x = - 42.99
x = 180 - 42.99
x = 137.0 degrees
4) Using the sine rule
20/sinx = 33/sin91
33sinx = 20sin91
sinx = 20sin91/33
sinx = 19.997/33
sinx = 0.6059
x = arcsin(0.6059)
x = 37.3degrees
20 POINTS PLEASE ANSWER THIS ASAP!!!!!
How many six-character code words can be formed if the first two characters are letters and the others are letters and/or digits? Repetition of numbers and letters is allowed.
a) 6,760,000
b) 723,465,600
c) 1,135,420,416
d) 918,918,000
2.Answer question # 1 if Repetition is NOT allowed.
a) 918,918,000
b)723,465,600
c)1,135,420,416
d)720
Answer:
A ; 3276000 (second answer)
Step-by-step explanation:
think of it like this:
L L # # # # ( six symbols, L for letters, # for numbers)
26 X 26 X 10 X 10 X 10 X10 = 6760000
If we take away repetition then the equation would look like this:
L L # # # # ( 26 then 25 due to the loss of a letter due to no )
26 X 25 X 10 X 9 X 8 X 7 ( Repetition. Same with 10,9,8,7 )
Therefore the answer to the second question isn't even up there which is 3276000.
Hope this helps...
pythagorean theorem round to the nearest tenth !!
Answer:
8,06
Step-by-step explanation:
c = Va^2+b^2 = V4*4+7*7 = v65 = 8,06
3
Find the value of a
in the equation,(3+4√3)(2-a√3)=-18+2√3
Given:
The equation is:
[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]
To find:
The value of a.
Solution:
We have,
[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]
On simplification, we get
[tex](3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}[/tex]
[tex]6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}[/tex]
[tex]6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}[/tex]
[tex](6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}[/tex]
On comparing both sides, we get
[tex]6-12a=-18[/tex]
[tex]-12a=-18-6[/tex]
[tex]a=\dfrac{-24}{-12}[/tex]
[tex]a=2[/tex]
And,
[tex]8-3a=2[/tex]
[tex]-3a=2-8[/tex]
[tex]a=\dfrac{-6}{-3}[/tex]
[tex]a=2[/tex]
Therefore, the value of a is 2.
some body help meee!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
This is a vertical line.
Vertical lines are of the form x= since the x value does not change
x=3
According to the graph, the __________________ is 57-43.
Answer:
Range
Step-by-step explanation:
The range is the max value minus the min value
What is the volume of this?
Answer:
1,832.4
Step-by-step explanation:
To find the base you multiply the radius by itself to pi. Then you multiply that by the height. The next step would be to divide that by 3.
Alicia, Carlos, Henry, and Zoe each completed a hike. The table shows their distances and times. Match each hiker to their unit rate.
3.20 mph
3.57mph
2.77 mph
3.08 mph
Answer:
3.57 mph I think it's 3.57 but if it's not I'm sorry
Find the volume of this triangular prism.
25 cm
10 cm
10 cm
Answer:
volume of the triangular prism
[tex] (\frac{1}{2} \times 10 \times 10) \times 25 \\ 1250 {cm}^{3} [/tex]
Answer:
1250cm2Step-by-step explanation:
BY: [tex]ζBenjamin[/tex]
Anita opened a savings account and deposited $600.00 as principal. The account earns 6% interest, compounded continuously. What is the balance after 1 year?
Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent. ( help please)
Answer:
$637.10
Step-by-step explanation:
Given:
P = 600
r = 6% or 0.06
t = 1
Work:
[tex]A=Pe^{rt}\\\\A=600e^{0.06*1}\\\\A=600e^{0.06}\\\\A=637.10[/tex]
write the product in standard form (2x + 5) ^2
Answer:
4x^2+20x+25
Step-by-step explanation:
(2x+5)^2 = (2x+5) (2x+5)
Using the foil method : 2x(2x) = 4x^2
(2x) (5) = 10x
(2x) (5) = 10x
5 (5) = 25
Combine like terms
Write an addition equation or a subtraction equation (your choice!) to describe the diagram.
PLEASE HELP! WILL AWARD BRAINLIEST TO THE FIRST CORRECT ANSWER!
If a/b=6, b/x=36, and a=36, what is the value of 1/x?
A) 1/2
B) 2
C) 3/2
D) 4
E) 6
Answer:
E) 6
Step-by-step explanation:
a/b = 6
36/b = 6
6b = 36
b = 36/6 = 6
b/x = 36
6/x = 36
36x = 6
x = 6/36 = 1/6
hence 1/x = 6
Answer:
E) 6
Step-by-step explanation:
a/b=6, b/x=36, and a=36
=>a = 6b
36 = 6b => b =6
b/x = 36 => x = b/36 = 6/36
so, 1/x = 36/6 = 6
If 8 people can be seated at a dinner table, how many tables are required to seat 72 people?
Answer:
9
Step-by-step explanation:
Given that ,
8 people can be seated at a dinner table.This is the case of direct proportion where , when quantity increases , the other also increases. Here we can use unitary method.
=> 8 people can sit on 1 table
=> 1 person can sit of 1/8
=> 72 people can sit on 1/8 * 72 = 9 tables
Hence 9 tables is the required answer.Please Round 1.54 thank you
Answer:
okay so it would be 2 or 1.5 i dont know if you want it whole number but i will explain
if the number is 5 or more like 5.1 or even 5 you round up
if the number is under 5 like 4,3,2,1 your round down
Step-by-step explanation:
Answer:
To The Nearest Tenth : 1.5
To The Nearest Whole Number : 2
Tip:
If the number is 4 or below like 1.42 it would be rounded to 1.4
If the number if 5 or above like 2.58 it would be rounded to 2.6 or 3
I didnt know which one you wanted so I put both
Find the area of the image below
Answer:
The answer is 65 square units
Need help solving this problem.
-30x+147=-171-24x
Answer:
-30x+147= -171-24x
+24x +24x
-6x+147= -171
-147 -147
-6x= -318
x=53
Hope this helps!
3/8 x 2 what would the answer be to this statement
Answer:
6/16
Step-by-step explanation:
Plz help me well mark brainliest if you are correct!!....plzz
Answer: 11.
Step-by-step explanation: Simplify the 7 and 4 to positive numbers since your asking for the value of expression. Add 7 + 4 together and get 11.
HELPP ASAP DONT SEND A FILE PLS DESCRIBE THE TRANSFORMATION RULE FOR ROTATIONS !!! Only ANSWER IF YOU KNOW I NEED THE ANSWR FOR 1 and 3
Answer:
Step-by-step explanation:
I will not give the answer but the rules are:
90 Degree Rotation. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). ...
180 Degree Rotation. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). ...
270 Degree Rotation.
Hope at least that helps.
A triangle has vertices (0, 2), (3, 1), and (6.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.
Answer:
6 + 2√10 units.
Step-by-step explanation:
We can use the distance formula to find the distance between the points. The points are ,
(0,2)(3,1)(6,2)Distance 1 :-
=> D₁ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₁ = √{ (0-3)² + (2-1)² }
=> D₁ = √{ 3² + 1² }
=> D₁ = √{ 9+1}
=> D₁ = √10
Distance 2:-
=> D₂ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₂ = √{ (6-3)² + (2-1)² }
=> D₂ = √{ 3² + 1² }
=> D₂ = √{ 9 + 1}
=> D₂ = √10
Distance 3 :-
=> D₃ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₃ = √{ (6-0)²+(2-2)²
=> D₃ = √6²
=> D₃ = 6
→ Perimeter = D₁ +D₂ + D₃
→ Perimeter = √10 + √10 + 6
→ Perimeter = 6 + 2√10 units
Hence the perimeter is 6+2√10 units.