Answers
Answer:
A: 360
Step-by-step explanation:
Split the trapezoid into 2 shapes
Then find the area of the rectangle on the left:
18 × 15 = 270 square yards
Now for the triangle, first find the base by subtracting the 2 parallel lines:
25 - 15 = 10 yards
0.5(10 × 18) = 90 square yards
Add both areas to find total area:
270 + 90 = 360 square yards
All this can be seen in the figure below:
Related Questions
Find the length of the arc of a circle of diameter 6 meters subtended by a central angle of 2π/3 radians.
Answers
Answer:
Step-by-step explanation:
[tex]arc->s\\s=r\theta={0.5diameter\theta}=0.5*6m*{2\pi\over{3}}=2\pi[/tex]
The length of the arc of a circle of diameter 6 meters subtended by a central angle of 2π/3 radians is; 8.8 meters.
What is the arc of the circle?The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.
angle= arc/radius
= 2π/3 radians
The diameter = 6 m
Then radius = 3 m
Length of arc = radius x central angle in radians
⇒3 x 2/3
= 2 m
= 44 / 5
= 8.8
Hence the arc of a circle is 8.8 m.
Learn more about arc of a circle here:-
brainly.com/question/2005046
#SPJ2
Please help me asap
Answers
Correct Work
-2(7+x) - 4(9-x)
-14- 2x -36 + 4x
-2x+4x-14-36
2x-50
Mistakes made
The likes terms weren't combined -6x was incorrect. -2x+4x = 2, when adding negative and positive numbers you subtract, the sign takes the number with the larger value which is +4 so the answer should be positive +NEED HELP ASAP
find the volume of the cone
Answers
Answer:
3619.11 or 3619.1
Step-by-step explanation:
i don't really know how to explain but that's what i got
Answer:
3,619.1 cm^3
Step-by-step explanation:
[tex]V=\pi r^{2}\frac{h}{3} \\V=\pi 12^{2} \frac{24}{3} \\V=3,619.115[/tex]
Consider the equation:
6x+55=x^2
1) Rewrite the equation by completing the square.
Your equation should look like (x+c)^2=d(x+c)
2
=dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c)
2
=dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
2) What are the solutions to the equation?
Answers
Step-by-step explanation:
1.
Subtract the coefficient from both sides, keep 55 on the same side.
[tex] {x}^{2} - 6x = 55[/tex]
Complete the square by dividing the coefficient by two and squaring it.
[tex] {x}^{2} - 6x + 9 = 55 + 9[/tex]
Use binomial to factor the left side.
[tex](x - 3) {}^{2} = 64[/tex]
2. Solve for x.
[tex](x - 3) = 8[/tex]
[tex]x = 11[/tex]
Remeber the square root of 64 is also -8 so
[tex]x - 3 = - 8[/tex]
[tex]x = - 5[/tex]
So the solutions are -5 and 11
Answer:
Answers
1) We can rewrite the equation as 64=(x−3)^2
2) The solutions to the equation are x=3±8
Find the zeros of the quadratic function: y= 6(7x + 9)(8x - 3).
A) (-9/7,0), (3/8,0)
B)(-7/9,0), (8/3,0)
C) (-3/8,0), (°/7,0)
D) (-8/3,0), (7/9,0)
Answers
Answer:
A) (-9/7,0), (3/8,0)
Step-by-step explanation:
Zeros of a quadratic function:
x for which y = 0.
In this question:
[tex]y = 6(7x + 9)(8x - 3)[/tex]
It's 0 if one of the factors is 0. 6 is never 0, now about the other to:
[tex]7x + 9 = 0[/tex]
[tex]7x = -9[/tex]
[tex]x = -\frac{9}{7}[/tex]
So (-9/7, 0) is a zero of the quadratic function.
The other is:
[tex]8x - 3 = 0[/tex]
[tex]8x = 3[/tex]
[tex]x = \frac{3}{8}[/tex]
(3/8,0) is the other zero.
Thus, the correct answer is given by option A.
SOMEONE SMART PLEASE HELP!! if ax^2+bx+c=0, and a≠0, then x=
Answers
Step-by-step explanation:
Hey there!
Simply, ax²+bx+c = 0 is a standard quadratic equation form.
When any equation is in this form where a ≠ 0;
[tex]x = \frac{ - b \: \: \: + - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
Hope it helps!
Which of the following are remote interior angles of Z1? Check all that apply.
1
5
6
3
2.
A. 24
B. 23
C. 22
D. 26
E. 21
F. 25
Answers
4. What is the conditional relative frequency that a customer prefers pepperoni given that the customer is female? 14 perfer pepperoni
Answers
Answer:
5123
Step-by-step explanation:
1425
The box plot shows the total amount of time, in minutes, the students of a class spend studying each day:
A box plot is titled Daily Study Time and labeled Time (min). The left most point on the number line is 40 and the right most point is 120. The box is labeled 57 on the left edge and 112 on the right edge. A vertical line is drawn inside the rectangle at the point 88. The whiskers are labeled as 43 and 116.
What information is provided by the box plot?
A. The lower quartile for the data
B. The number of students who provided information
C. The mean for the data
D. The number of students who studied for more than 112.5 minutes
Answers
Not B or D because we don’t know the total, just where the data falls. Since we don’t know the total number of data points, we also can’t find the mean from C
Which equation best represents the relationship between x and y in the graph?
I’ll give brainliest
Answers
how many times bigger is the interior angle of a nonogon than a exterior angle
Answers
A nonagon consists of 9 angles. The sum of angles of a nonagon is 1260°.
A nonagon has 9 exterior angles. The sum of angles of the exterior angles of a nonagon is 360°.
Find all angles, 0°
sin a= 0
Answers
Answer:
theta = 0 theta = 180
Step-by-step explanation:
sin theta = 0
sin ^-1 (sin theta) =sin^-1( 0)
theta = 0 theta = 180 for the limits of theta between 0 and 360
Pleaseee help me answer this question
Answers
Calculate the surface area of the figure.
Answers
Answer:
2800 yd^2
Step-by-step explanation:
Faces = (1/2 (28*36)) 4 = 2016
Base = 28*28 = 784
2016 + 784 = 2800
Letters a, b, c, and d are angle measures. Which should equal 105° to prove that f is parallel to g? a
b
c
d
Answers
Answer:
D
Step-by-step explanation:
Answer:
Choice is D) D
Step-by-step explanation:
Got it right on Edge
I need to turn this in by 10:00 plz help thank you :)
Answers
Answer:
11 is one 0f them
Step-by-step explanation:
11x11
Alexander is building a rectangular pen in his backyard for his dog. The pen will have a length of 13 feet and a width of 2x feet.
Answers
4x+26
Step-by-step explanation:
to buy fencing, you need to find the perimeter of the pen. The perimeter is found by adding all sides together.
So, 13+13+2x+2x=4x+26
Which graph represents an exponential function?i
Answers
What is the radius of C?
Answers
What is the length of side x? If necessary, round your answer to two decimal places. 19 12
Answers
Answer:
D. 14.73
Step-by-step explanation:
According to Pythagoras,
19^2 = 12^2 + x^2
x^2 = 19^2 - 12^2
x^2 = 361 - 144
x^2 = 217
x = [tex]\sqrt{217}[/tex]
x = 14.73
The choices are agree or disagree
Answers
Answer:
agree
Step-by-step explanation:
Answer:
Agree
Step-by-step explanation:
If you multiply 0.2 by 3, you get 0.6
If you multiply 0.6 by 3, you get 1.8
If you multiply 1.8 by 3, you get 5.4
If you multiply 5.4 by 3, you get 16.2
If you multiply 16.2 by 3, you get 48.6
48.6 is close to being half of the island.
Put the following equation of a line into slope-intercept
form, simplifying all fractions.
x + 4y = 24
ASAP!!!!
Answers
Answer:
y = -1/4x + 6
Step-by-step explanation:
Answer:
y = -1/4x + 6
Step-by-step explanation:
Get y alone:
x + 4y = 24
-x = -x
4y = -x + 24
Divide:
4y = -x + 24
4 = 4
Distribute division:
y = -1/4x + 24/4
Reduce fractions:
y = -1/4x + 6
(Need Quick Help!)
Which of the following expressions is equivalent to the one shown below ?
(-5 • 4)^3
A. (-5)^3•4^3
B. -15^3•12
C. -15•12
D. -8•7
Answers
Answer:
Its A
Step-by-step explanation:
You must distribute exponents outside of parentheses to each
A = -5^3 × 4^3
B = multiplies each by 3 then raises 1 to the third, very off
C = just multiplied each by 3
D = very off, added by 3
A. (-5)^3 = -125
4^3 = 64
-125 • 64 = -8000
Use the drawing tools to form the correct answer on the graph.
Graph the line that represents this equation:
3x-4y=8
Answers
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]3x - 4y = 8[/tex]
Required
Graph the line
First, we calculate the intercepts
Set x = 0
So:
[tex]3x - 4y = 8[/tex]
[tex]3*0 - 4y = 8[/tex]
[tex]- 4y = 8[/tex]
Divide by -4
[tex]y = -2[/tex]
So, we have:
[tex](x,y) = (0,-2)[/tex]
Next, set y = 0
So:
[tex]3x - 4y = 8[/tex]
[tex]3x - 4 * 0 = 8[/tex]
[tex]3x = 8[/tex]
Divide by 3
[tex]x = 8/3[/tex]
So, we have:
[tex](x,y) = (8/3,0)[/tex]
The graph to be plotted must pass through [tex](x,y) = (0,-2)[/tex] and [tex](x,y) = (8/3,0)[/tex]
Here's my answer
hope it helps
Which statement best describes the function below?
f(x) = 2x3 + 212
1
A. It is not a function,
B. It is a many-to-one function,
0 OOO
C. It fails the vertical line test.
D. It is a one-to-one function!
Answers
Answer:
B
Step-by-step explanation:
Use y = mx + b to determine the equation of a line with a slope -5, passing through the point (-2,4).
Answers
Answer:
[tex]y=-5x-6[/tex]
Step-by-step explanation:
Hi there!
In [tex]y=mx+b[/tex], m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.
Given that the slope is -5, plug it into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
Now, to solve for b, plug in the given point (-2,4):
[tex]4=-5(-2)+b\\4=10+b[/tex]
Subtract 10 from both sides to isolate b:
[tex]4-10=10+b-10\\-6=b[/tex]
Therefore, the y-intercept of this line is -6. Plug this back into [tex]y=-5x+b[/tex] as b:
[tex]y=-5x-6[/tex]
I hope this helps!
Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.
Leena consumed 1,500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.
Leena consumed 500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 400 plus 300 right-parenthesis.(x) = x(400 + 300) can be used to model the situation.
Leena consumed 1,000 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction x left-parenthesis x plus 400 plus 350 right-parenthesis equals x.x(400 + 300) = x can be used to model the situation.
Answers
Answer:
A and B
Step-by-step explanation:
Answer:
A & B
Step-by-step explanation:
#1 Which rectangular prism will have more volume (left or right) or will they be the same?
#2 What are their volumes?
Answers
Answer:
They will have the same volume
Step-by-step explanation:
Given the rectangular prisms above :
Prism 1 dimension = (3 * 1 1/2 * 2 1/2) inches
Prism 2 dimension = (2 1/2 * 3 * 1 1/2) inches
Recall; Volume of a rectangular prism is :
V = length * width * height
Prism 1 :
V = (3 * 1 1/2 * 2 1/2) = 11.25 in³
Prism 2 :
V = (2 1/2 * 3 * 1 1/2) = 11.25 in³
Hence, Volume of prism will be the same
State the various transformations applied to the base function to obtain a graph of the functiong(x) = |x + 1| − 2.
Answers
differentiate 7x²
differentiate 7 x square
Answers
Answer:
y' = 14x
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
y = 7x²
Step 2: Differentiate
Basic Power Rule: y' = 2 · 7x²⁻¹Simplify: y' = 14xTopic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e