Answer:
x = 6
Step-by-step explanation:
2x + 7 = 19
-7 -7
2x = 12
*divide both sides by 2*
x = 6
Clark is building a large gazebo for his backyard. It is in the shape of a regular hexagon. Each side of the
gazebo is 12 feet long. The apothem is 10.4 feet. He needs to purchase stones for the floor. It costs $9.50
per square foot for a special type of interlocking stone. Find the cost of the gazebo's floor.
Round to the nearest ten dollars.
Total cost of gazebo's floor is $3556.8 when the gazebo has 12 feet on each side. 10.4 feet tall is the apothem.
Given that,
In Clark's backyard, a sizable gazebo is being constructed. It has a typical hexagonal form. The gazebo has 12 feet on each side. 10.4 feet tall is the apothem. He must get stones for the flooring. The price of a particular kind of interlocking stone is $9.50 per square foot.
We have to identify the gazebo's floor's cost.
We know that,
The distance from the center of the regular polygon to the mid point of the side. Here, AB is the chord and AM =BM. O is the center of the circumcircle.
Segments joining the center of a circle to the midpoint of the chord is perpendicular to the chord.
So, OM ⊥AB
In ΔOAB,
AB is the base and OM is the height.
AB = 12 feet
OM = 10.4 feet.
The area of the triangle OAB =1/2×base×height
= 1/2×12×10.4
=62.4 square feet.
A regular hexagon is divided into 6 equilateral triangle having each side 12 feet.
Area of the regular hexagon = 6× area of the one triangle
=6×62.4=374.4 square feet
Cost of inter locking stones = $9.50 per square feet.
Total cost of gazebo's floor = 374.4× 9.50 =$3556.8
Therefore, Total cost of gazebo's floor is $3556.8 when the gazebo has 12 feet on each side. 10.4 feet tall is the apothem.
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Find the sum of the complex numbers.
(3 + 3i) + (8 + 7i)
Answer:
21i² + 45i + 24
Step-by-step explanation:
Answer:
-5-4i
Step-by-step explanation:
In rolling two dice, what is the probability that the sum of the two numbers on the dice will be 4?
A: 1 over 12
B: 3
C: 11 over 12
D: 2 over 3
Answer:
A
Step-by-step explanation:
If the dice are fair and 6 sided then you can roll a 4 in three ways
2 2
1 3
3 1
The total number of ways you can throw two 6 sided dice is 6 * 6 or 36
So P(4) = 3/36 = 1/12
what's the area? i need it by 7:00 AM EST time
Answer:
approx 506.52
Step-by-step explanation:
Rectangle: 21 x 12 =252
Half circle = 1/2 (3.14)(6^2) = 56.52
Trapezoid: 6 (33 +33) = 198
add all of them together
Answer:
479.52 cm²Step-by-step explanation:
Semi-circle:
A = 1/2πr² = 1/2*3.14*6² = 56.52 cm²Trapezoid:
A = 1/2(a + b)h = 1/2 [(12 + 12) + (12 + 21)] (6) = 171 cm²Rectangle:
A = ab = 12*21 = 252 cm²Area of the shape:
56.52 + 171 + 252 = 479.52 cm²how much do 10 pieces of candy cost if 1000 pieces cost $40
khan academy Find the median of the data in the dot plot below. chocolate chips
Answer:
Where's the picture?
Step-by-step explanation:
Can't see it.
Identify two angles that are marked congruent to each other on the diagram
below. (Diagram is not to scale.)
Answers:
TSO for the first boxQRP for the second boxExplanation:
The angles TSO and QRP are marked with the same double angle arc markers. This signifies they are congruent or the same measure. For example, they both could be 30 degrees each.
The naming "angle TSO" is the same as saying "angle OST". The order of the letters does not matter as long as point S is in the middle. Similarly, saying "angle QRP" is the same as "angle PRQ".
PLEASE PLEASE PLEASE HELP
Answer: y=6x+8
Step-by-step explanation:
slope intercept form: y= mx+b
slope(m)= (y2-y1) / (x2-x1)
using the first two columns, we get:
(14-8)/(1-0) = 6/1= 6
to find b: find the y value where x=0
that gives us b=8
therefore, if we plug in m and b into the slope intercept form, we get
y = 6x + 8
Answer: y=6x+8
Step-by-step explanation:
Percent | Word Problems
1) Mrs. Smith has covered 50 miles of a 125-mile journey. What percentage of the
journey has been covered by her?
Answer:
40%
Step-by-step explanation:
50/125×100%
=40%
Mr Smith has covered 40 percent of the journey
Answer:
40%
Step-by-step explanation:
50/125 ×100= 40%
Evaluate fraction with negative 3 raised to the seventh power times negative 3 squared in the numerator and negative 3 raised to the fifth power in the denominator.
−81
−27
27
81
Answer:
Last option, 81.
Step-by-step explanation:
Evaluate, [tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex]
[tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{7+2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{9} }{\ (-3)^{5} }[/tex] => [tex](-3)^{9-5}[/tex] => [tex](-3)^{4}[/tex] => [tex](-3)(-3)(-3)(-3)[/tex] => [tex]81[/tex]
coefficient: The number in BLANK of the variable within the BLANK BLANK
The blank spaces of the statement coefficient: The number in BLANK of the variable within the BLANK BLANK are, front, addition, subtraction.
What are coefficients and like terms?A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.
Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.
We know a coefficient is a constant value combined with a variable.
For example, In 7x the coefficient of x is 7.
Given, A fill-in-the-blank statement,
coefficient: The number in BLANK of the variable within the BLANK BLANK.
Therefore,
coefficient: The number in front of the variable within the addition subtraction.
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Use what you know about decomposing fractions to write 11/10 as a mixed number.
Calculate the sector area: 16 in 90°
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
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Please need help don't understand please explain
Answer:
Combine like terms for the than you do to other side the multiply last for least you divide both sides
Step-by-step explanation:
Write −12x+y=10 in slope-intercept form.
The equation −12x+y=10 in slope-intercept form is y = 12x + 10
How to write the equation in the slope-intercept formThe general equation showing the slope-intercept form of a graph is represented as;
y = mx+ c
Given that;
y is a point on the y-axis of the graphm is the slope of the graphx is a point on the x -axis of the graphc is the intercept of the line on the y-axisFrom the information given, we have the equation as;
−12x+y=10
Now, let's make 'y' the subject of formula by
-12x + y = 10
Take '12x' to the other side of the equality sign
y = 10 + 12x
Make into slope-intercept form, we have
y = 12x + 10
Hence, the formula is y = 12x + 10
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The slope-intercept form of the equation of line −12x + y = 10 is y = 12x + 10.
What is the slope-intercept form of the equation of line?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the line;
−12x + y = 10
To rewrite in slope intercept form ( y = mx + b ), bring terms containing y to the left and x or constant terms to the write side of the equation.
−12x + y = 10
Add 12x to both sides
−12x + 12x + y = 10 + 12x
y = 10 + 12x
Reorder in slope intercept form
y = 12x + 10
Therefore, the slope intercept form is y = 12x + 10.
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Evaluate x^{3} - 3y when x = -3 and y = 4.
Answer:
-39
Step-by-step explanation:
Substitute x by - 3 and y by 4
(-3)^3 - 3 *4 = - 39
Which step is not necessary when solving this system of equations by graphing?
Identify the point of intersection.
Choose a method to graph the equations.
Determine the shaded area for each line.
Write the solution as an ordered pair.
Not necessary when solving this system of equations by graphing is
to determine the shaded area for each line. The correct option is C.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.
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please help me. i need this assignment done b4 tomorrow.
Answer:
Step-by-step explanation:
1/4 circle = 1/4*[tex]\pi[/tex][tex]r^{2}[/tex]
1/4 circle =1/4 *[tex]\pi[/tex]*[tex]11^{2}[/tex]
1/4 circle =95.03317
top rectangle = 11*5
top rectangle =55
bottom rectangle = 7*13
bottom rectangle = 91
add the 3 up
total area = 95.03317 + 55 + 91
total area = 241.03
I need help completing the square
The formula needed to transform a quadratic polynomial or equation into a perfect square with an additional constant is known as the square formula. It is expressed as, [tex]ax^2 + bx + c = a(x + m)^2 + n[/tex], where, m and n are real numbers.
What does math's "completing the square" mean?When a square is complete, a quadratic is written in the shape of a squared bracket, and if necessary, a constant is added. A good example is [tex]x^2 + 6x + 7[/tex] . First, let's note that [tex](x + 3)^2 = (x + 3)(x + 3) = x^2 + 6x + 9. x[/tex] because this is two more than our expression.
Quadratic Equation: What Is It?The polynomial equations of degree two in one variable of type[tex]f(x) = ax^2 + bx + c = 0[/tex] and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f(x).
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The function is represented by a set of ordered pairs.
{(1,2), (-3,4), (3, 3), (0, -9)}
What is the range of this function?
O {1, - 3, 3, 0]
O {3, 1, 6, – 9)
O {2, 4, 3, -9)
O {1, 2, - 3, 3, 3, 0, -9}
Answer:
[tex]Range: \{2,4, 3, -9\}[/tex]
Step-by-step explanation:
Given
The ordered pairs
Required
The range of the function
The range of a function is represented as:
[tex]Range = \{y_1,y_2,y_3,,,y_n\}[/tex]
i.e. we only write out the y values.
So, the given ordered pairs can be represented as
[tex](x,y) = \{(1,2), (-3,4), (3, 3), (0, -9)\}[/tex]
So, we have:
[tex]Range= \{2,4, 3, -9\}[/tex]
Find all the zeroes of the equation.
x4-6x2-7x-6 = 0
Zeros of the given equation are {-2, 3, (-1±i√3)/2}
Solution:-As the last term is -6 then, ± 2 , ±3 are possible zeroes.
Try 2:-
[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so 2 is not a zero.
Try 3:-
[tex]3^4-6*(3)^2-7*3-6=0[/tex] so 3 is a zero.
[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex] so -2 is also a zero.
Divide the function by (x +2)(x - 3), that is [tex]x^2 - x - 6[/tex]
gives [tex]x^2 + x + 1[/tex]
[tex]x^2 + x + 1[/tex]
So we have [tex]x^2 + x + 1 = 0[/tex]
[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]
= -1 + √(-3) / 2 , - 1 - √(-3) / 2.
= -0.5 + 0.866i, -0.5 - 0.866i
What are math roots?In mathematics, the number that results in the original number when multiplied by itself is called the root.
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Write an equation and solve for x using the diagram
below. Also give the angle measure. YOU MUST
WRITE THE EQUATION IN ORDER TO GET
Answer:
x = 45
Step-by-step explanation:
2x + 6 and 96 are vertically opposite angles and are congruent , then equation is
2x + 6 = 96 ( subtract 6 from both sides )
2x = 90 ( divide both sides by 2 )
x = 45
A 4lb. bag of salt water taffy from the beach costs $15.12. What is the unit rate?
A.$15.12/lb
B.$3.78/lb
C.$3.79/lb
D.$3.77/lb
Seventy-five percent of the land in Venezuela is owned by:
2% of the people
17% of the people
75% of the people
10% of the people
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
Answer:
(0, 12)
Step-by-step explanation:
HELP ASAP
A triangular prism. The rectangular sides are 2 centimeters by 13 centimeters, 12 centimeters by 2 centimeters, and 5 centimeters by 2 centimeters. The 2 triangular sides have a base of 5 centimeters and height of 12 centimeters.
Which equation could be used to find the surface area of the net of the triangular prism shown?
SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2)
SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)
Answer:
C. SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
Step-by-step explanation:
C.
Answer:
It's C
Explanation:
I got it correct on Edge
does Area = 3.1415926 times radius squared
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3gVQKw3
The results of a survey show that the percent of adults in a certain town who want to add bike lanes to a major roadway is in the interval (0.57, 0.65)
(a) What is the point estimate for the percent who want to add the bike lanes?
(b) What is the poll’s margin of error?
(c) If the town’s adult population is 31,526, what is the best estimate for the number of people who would support the bike lanes?
Please DO NOT COMMENT RANDOM LETTERS
Answer:
a) about 39.5%
sorry if it wrong im not sure tho
Step-by-step explanation:
What is the domain of the function y equals the square root of x plus 4
Answer:
The domain is the set of numbers that the x value can be.
In an equation like the domain is all real numbers because x can be any number.
In the case of , any x value that is less than or equal to -4 will not work because you would be taking the square root of a negative number, which doesn't work unless you're graphing on a complex plane, which I assume you aren't.
Thus, the domain is
I hope that helps!
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
J is the answer ............
Answer:
The answer is G.
Step-by-step explanation: