Answers
Answer:
[tex]Area = 52\sqrt3 \ ft^2[/tex]
Step-by-step explanation:
Area of trapezoid
[tex](\frac{a+ b}{2}) \times h[/tex] -----------( 1 )
We will split the trapezoid into Triangle and rectangle. To find the height and full length of base.
[tex]sin 60 = \frac{opposite}{hypotenuse}[/tex] [tex][ opposite \ in \ the \ equation \ \ is \ the \ height \ of \ the \ trapezoid ][/tex]
[tex]\frac{\sqrt3}{2} = \frac{opposite }{ 8}\\\\\frac{\sqrt3}{2} \times 8 = opposite\\\\4\sqrt3 = opposite[/tex]
Therefore, h = 4√3 ft
[tex]cos 60 = \frac{adjacent}{hypotenuse}[/tex] [tex]adjacent \ in \ the\ equation \ is \ the\ base \ of \ the \ triangle ][/tex]
[tex]\frac{1}{2} = \frac{adjacent}{hypotenuse}\\\\\frac{1}{2} \times 8 = adjacent\\\\4 = adjacent[/tex]
Therefore, a = 11 feet, b = 11 + 4 = 15 feet
Substitute the values in the Area equation :
[tex]Area = \frac{11 + 15}{2} \times 4 \sqrt3 = \frac{26}{2} \times 4\sqrt3 = 13 \times 4\sqrt3=52\sqrt3 \ ft^2[/tex]
Related Questions
Solve the system by substitution.
— бу = x
x + y = -30
Answers
Step-by-step explanation:
-6y + y=-30
-5y = -30
y=6
x=-6 ×6= -36
Identify the domain of the function shown in the graph.
O A X20
OBXSO
O c. xis all real numbers.
D-43XSO
Can someone please help me
Answers
Answer:
A x >= 0
Step-by-step explanation:
a function is a defined mathematical operation (or a sequence of operations) that uses input values (typically called "x") and calculates the corresponding results (typically called "y").
so, y = f(x)
and (x,y) are then usually the coordinates on the grid.
the domain is the range or interval of numbers the function is using (x) to create results (y).
so, look at the graph !
for what values of x do you see the functional line drawn ?
that means, the functional line goes along only what part of the x-axis ?
I see it starts at x=0 and then continues all the way to the right and clearly further.
for me that means f(x) calculates values for every positive x we can think of. and including 0.
it does not do anything for any negative x-values.
so, clearly answer A (x>=0) is right.
NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12
Answers
Answer:
Range: [-7, 8]
General Formulas and Concepts:
Algebra I
Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other
of this triangle?
• 5 cm and 8 cm 8
• 6 cm and 7 cm 7
• 7 cm and 2 cm
•
8 cm and 9 cm
Answers
3514 1404 393
Answer:
(d) 8 cm and 9 cm
Step-by-step explanation:
The sum of the short sides must exceed (not equal) the long side. The only proposed measures that do that are ...
8 cm and 9 cm
Answer:
{D. 8cm & 9cm}Step-by-step explanation:
#CARRYONLEARNING
I need help with this question it’s due today!
Answers
Answer:
15
Step-by-step explanation:
4:5
4 x 3 = 12 girls
5 x 3 = 15 boys
12:15
Answer:
D. 15
Step-by-step explanation:
4:5
4/5×3/3=12/15
12/15.....12 girls, 15 boys
:) ur welcome
Need the answer please help ?
Answers
Anyone know the answer? Please and thank you
Answers
Answer:
x = 9
Step-by-step explanation:
Given 2 secants from an external point to the circle , then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
3(3 + x) = 4(4 + 5) ← distribute parenthesis on both sides
9 + 3x = 16 + 20 = 36 ( subtract 9 from both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Sylvie finds the solution to the system of equations by graphing.
y = x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?
Answers
Answer:
the 2nd one
Step-y-step explanation:
during a sale , a shop allows 20%
discount of the marked price of clothing . What will a costumer pay for a dress with a marked price of $30?
Answers
Answer:
$24
Step-by-step explanation:
original price of a dress = $30
discount = 20%
discount amount = discount% of original price
=20/100 * 30
=30/5
=$6
price that consumer will pay after discount = $30 - $6
=$24
Step-by-step explanation:
6$
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Which functions have a range of ..
Answers
Answer:
Options (3) and (5)
Step-by-step explanation:
Option (1)
f(x) = x² + 7x - 2
= x² + 2(3.5)x + (3.5)² - (3.5)² - 2
= (x + 3.5)² - 14.25
Therefore, vertex of the graph → (-3.5, -14.25)
And the graph will open upwards.
Range of the function → [-14.25, ∞)
Option (2)
f(x) = -(x + 1)² - 4
Since, leading coefficient is negative, curve of the function will open downwards.
Vertex → (-1, -4)
Range of the function → [-4, -∞)
Option (3)
f(x) = -4x + 11
This function is defined for all real values of x.
Range of the function → (-∞, ∞)
Option (4)
f(x) = [tex]2^{x+3}[/tex]
Range of this exponential function → (0, ∞)
Option (5)
f(x) = [tex]\frac{2}{3}x-8[/tex]
Function is defined for all real values of x.
Range of the function will be (-∞, ∞)
Therefore, Options (3) and (5) are the correct options.
Answer the question in the picture
Answers
Answer:
10 ^3 * 10 ^2
1/ 10 ^5
10*10*10*10*10
Step-by-step explanation:
10 ^4^1 = 10 ^(4*1) = 10 ^4
10 ^3 * 10 ^2 = 10 ^(3+2) = 10 ^5
1/ 10 ^5 = 10 ^5
10 ^3^2 = 10 ^(3*2) = 10 ^6
10*10*10*10*10 =10 ^5
Find the solution to the equation 4r + 2(r - 8) = 4(3 + r).
Answers
Answer:
r = 14
Step-by-step explanation:
Use distributive property:
4r + 2r - 16 = 12 + 4r
Combine like terms:
6r - 16 = 12 + 4r
Isolate the variable:
6r = 28 + 4r
2r = 28
r = 14
Answer:
r = 14
Step-by-step explanation:
4r + 2(r - 8) = 4(3 + r)
4r + 2r - 16 = 12 + 4r
6r - 16 = 12 + 4r
6r - 4r - 16 = 12 + 4r - 4r
2r - 16 = 12
2r - 16 + 16 = 12 + 16
2r = 28
2r ÷ 2 = 28 ÷ 2
r = 14
The Jones family wants to enclose their circular garden with a fence. To the 1 point
nearest meter, what is the minimum length of fencing they need to buy?
Note that radius of garden is 62.5m. User as 3.14.
Answers
Answer:
Step-by-step explanation:
We have to find the circumference.
Length of the fence = 2πr
= 2* 3.14 * 62.5
= 392.5
= 393 m
No files just type it in
Answers
( 3 × 5 ) + ( 2 × 4 ) =
15 + 8 = $ 23
Name the vertex for this parabola. *
y = (x + 6)^2 + 15
Answers
Lincoln is saving $360 to buy a new bike. He already has $85 and can earn $12 per hour at work. Which of the following equations describes the number of hours, h, for which Lincoln must work to earn enough money to buy the new bike?
Answers
Answer:
85 + 12w =360
Step-by-step explanation:
Could someone help, please?
Answers
Answer:
Option B
Step-by-step explanation:
By using geometric mean theorem in the given right angle triangle RST,
[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]
[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]
[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]
ST² = 10.2 × 14.3
ST = [tex]\sqrt{145.86}[/tex]
ST = 12.077
ST ≈ 12.1
Therefore, Option B will be the correct option.
UESTION 4
1
A certain number multiplied by five and then two subtracted,
the answer is seventy-seven. Find the number
Answers
Answer:
x = 15.8
Step-by-step explanation:
let the number be x
according to the question equation is
x*5 - 2 = 77
5x - 2 = 17
5x = 77 + 2
5x = 79
x = 79/5
x = 15.8
Answer:
5x - 2 = 77
x = 15.8
Step-by-step explanation:
a number - x
times 5 - 5x
minus 2 - 5x - 2
equals 77 - 5x - 2 = 77
77 + 2 = 79
79 ÷ 5 = 15.8
5(15.8) - 2 = 77
For the question my answer was -1 but other people were saying the answer was 53. This is my proof that the answer is -1.
Answers
Answer:
53 is the correct answer
Step-by-step explanation:
Your error is the first step
for x = 3
(3x)² = (3 * 3)² = 9² = 81
An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance
around the track is 400 meters. Determine the radius of the semicircular ends of the track in terms of y.
Answers
Answer:
r = (200 - y)/π
Step-by-step explanation:
The question details includes;
The shape of the indoor track = Two semi-circular ends and a mid rectangular region
The distance around the indoor track = 400 meters
The radius, r, of the semicircular ends in terms of y = Required
Let y represent the length of the rectangular middle area of the track, we have;
The perimeter of the indoor track = The distance around the track = 400 m
The perimeter of the indoor track = 2 × π·r + 2 × y = 400
2 × (π·r + y) = 400
∴ π·r + y = 400/2 = 200
r = (200 - y)/π
1 kilogram of flour costs 80.00, calculate the number of kilograms in a bag is sold for 4,000.00
Answers
Answer:
a
Step-by-step explanation:
everything can be found in the picture
Answer:
50kg
Step-by-step explanation:
because 1 bag costs80
so
divide 4000
80
ans=50kg
Cuales son los terminos que siguen en cada sucesion:a)2,4,8,16,32,64,....B)1,3,5,7,9,....C)1,3,6,10,15,21,28,36,45
Answers
Answer:
a) Número siguiente = Número anterior * 2
b) Número siguiente = Número anterior + 2
c) Número siguiente = Número anterior + (n + 1)
Step-by-step explanation:
a) Para la secuencia 2,4,8,16,32,64, ....
El siguiente número es dos veces el número anterior.
Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.
b) Para la secuencia 1,3,5,7,9, ....
El siguiente número es igual al número anterior + 2
Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.
c) Para la secuencia1,3, 6,10,15,21,28,36,45
La diferencia entre los números aumenta en +1.
3-1 = 2
6-3 = 3
10-6 = 4
15-10 = 5
21-15 = 6
28-21 = 7
Please help me here in an algebraic maze that I hardly understand, please help me, my time is running out on a math test.
Answers
Answer:
??i never did this before
A penny is dropped from the top of the chrysler building(320 m high). How fast is it moving when it hits the ground? (no troll)
Answers
Answer:
I would say pretty fast lol It would be traveling about somewhere beetween 30 to 50 mph because it would have hit terminal velocity at that point.
Simplify the trigonometric expression sin(4x)+2 sin(2x) using Double-Angle
Identities.
A. 8sin(x) cos(x) - 4 sin(x) cos(x)
B. 8sin(x) cos(x)
C. 8sin(x) cos(x) – 8 sin(x) cos(x)
D. 8 sin(x) cos' (x) +8sin(x) cos(x)
Answers
Answer:
[tex]{ \bf{ = \sin(4x) + 2 \sin(2x) }} \\ = { \bf{2 \sin(2x) \cos(2x) + 4 \sin(x) \cos(x) }} \\ { \bf{ = 4 \sin(x) \cos(x) . ({ \cos }^{2} x - { \sin}^{2} }x) + 4 \sin(x) \cos(x) } \\ = { \bf{4 \sin(x) \cos(x) ( { \cos }^{2}x - { \sin }^{2}x + 1) }} \\ = { \bf{4 \sin(x) \cos(x) }(2 { \cos }^{2} x)} \\ = { \bf{8 \sin(x) { \cos}^{3}x }}[/tex]
Part A The Oracle Arena has 6,800 seats. Tickets for 60% of the total number of seats were sold. How many tickets were sold? Show your work and write your answer in the box below. Remember to include the correct unit with your answer.
Answers
Answer:
Step-by-step explanation:
60% of the ticket were sold so just take 60% x 6,800 = 4080 (seats)
You can multiply 6,800 by .6 (equivalent to 60%)
0.6 • 6,800 = 4,080 tickets
Please mark brainliest I’d appreciate it
Question 16
Use the rule for order of operations to simplify the expression as much as possible:
Question Help: Video
Submit Question
ps://www.myopenmath.com/asset
1721&ald-80137968
Answers
Answer:
16
Step-by-step explanation:
[tex]5 + 9 \div 3 + 4 \times 2 \\ = 5 + 3 + 8 \\ = 16[/tex]
Multiplication and division are priority to addition and subtraction
Brainliest please
What are the solutions to the equation (2x+1)^2-(x+13)=3x^2-2x+2
Answers
4x^2+3x-12=3x^2-2x+2
X^2+5x-14=0
Then use quadratic equation to find the values of the 2 x and you will get,
x=2 and x=-7
Triangle NOP is similar to triangle QRS. Find the measure of side RS. Round your answer to the nearest tenth.
Answers
Answer:
22.1
Step-by-step explanation:
If the triangle is similar then the side lengths have common ratios
*Create ratio to solve for RS*
47.8/13 = RS/6
Now solve for RS
simplify
47/13 = 3.677
We now have 3.677 = RS/6
Multiply each side by 6
3.677 * 6 = 22.1
RS/6 * 6 = RS
we're left with RS = 22.1
Double the number t?
Answers
Answer:
2t
Step-by-step explanation: