Answer: x = -7/3
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/%5Cleft(3x%20%2B%207%5Cright)2%20%3D%20-6x%20-%2014
there are the steps
Answer:x=-7/3
Step-by-step explanation:(3x+7)(2)=−6x−14
(3x)(2)+(7)(2)=−6x+−14(Distribute)
6x+14=−6x+−14
6x+14=−6x−14
6x+14+6x=−6x−14+6x
12x+14=−14
12x+14−14=−14−14
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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Question 1
Which of the following events will increase the cash balances of a business
A
Loan repayment to banks
B В
Bank granting it and overdraft facility
© Sale of inventory (stock) on credit
D
Trade receivables (debtors) paying amounts owed
Answer:
The answer is B
I hope you got it right!!!
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 table represents a function
Answer:
The table with (-3, 2), (0, 2), etc.
Every input has exactly one output.
Hope this helps :)
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".
Help
Fjfjdjfjdjdjdjdjjfjfjfhfjd
Answer:
55
Step-by-step explanation:
IHG = 123
IHS = x + 65
SHG = x + 78
IHG = IHS + SHG
123 = x + 65 + x + 78
123 = 2x + 143
123 - 143 = 2x
-20 = 2x
-10 = x
IHS = x + 65
IHS = - 10 + 65
IHS = 55
Water flows at 2 feet per second through a pipe with a diameter of 8 inches. A cylindrical tank with a diameter of 15 feet and a height of 6 feet collects the water.
a. What is the exact volume, in cubic inches, of water flowing out of the pipe every second? Leave your answer in terms of π.
The volume is
cubic inches.
Question 2
b. What is the height, in inches, of the water in the tank after 5 minutes?
The height in the tank is about
inches.
Question 3
c. How many minutes will it take to fill 75% of the tank?
It will take about
minutes.
a. The exact volume, in cubic inches, of water flowing out of the pipe every second is 32π cubic inches.
b. The height, in inches, of the water in the tank after 5 minutes is 600 feet.
c. It will take 0.132 minutes to fill 75% of the tank
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
Given, Water flows at 2 feet per second through a pipe with a diameter of 8 inches so it is a cylindrical shape.
Therefore, The exact volume, in cubic inches, of water flowing out of the pipe every second is,
= π(4)²×2.
= 32π cubic inches.
The volume of the cylindrical tank is,
= π(7.5)²×6.
= 337.5π cubic inches.
The height, in inches, of the water in the tank after 5 minutes would be
= (32π×300)/π×16).
= 600 feet.
Now, 75% of 337.5π cubic inches is (0.75×337.5π) = 253.125π cubic inches.
Therefore the time required to fill 75% of the tank is,
= [(253.125π/32π)]/60 minutes.
= 7.91/60 minutes.
= 0.132 minutes.
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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]
In the line plot, how many more students live 2 miles from school than students that live 1 mile from school?
Answer:
3 more students
Step-by-step explanation:
6-3=3
How did you get that?
6 students live 2 miles away, while only 3 students live 3 miles away. To find the difference, subtract the two numbers.
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
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]
Which angle is vertical to EDG?
Answer:
∠FDA
Step-by-step explanation:
Angle FDA is vertical to angle EDG.
Picture shows vertical angles.
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%
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:
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
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.
3
Use the drawing tool(s) to form the correct answer on the provided graph.
The function f(x) is shown on the provided graph.
Graph the result of the following transformation on f(x).
Drawing Tools
Select
Line
Click on a tool to begin drawing
-10
-8
f(z) + 6
-6
4
-2
10-
8-
6
Delete
Undo
Reset
10
-1 on the left x-axis and 4 on the right y-axis.
Start at -2 on the y-axis, move up the y-axis six times, and you should arrive at 4. However, you must identify the first line in order to complete the puzzle.
Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.
Since you should be at 4, apply the formula rise/run 4/1 to ascend 6 on the y-axis.
step 1: ascend the y-axis six times.
Step 2: Use 4/1 to increase from the y-4 axis's by 1 to the right
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D. Maria collects postcards. The table gives the
number of each type of postcard she has in her
collection. Use the data to write each ratio in
three different ways.
A. U.S. Landmarks to European Landmarks:
Answer: A. U.S. Landmarks to European Landmarks
Maria has 25 U.S. landmark postcards and 20 European landmark postcards. The ratio of U.S. landmarks to European landmarks can be written as 25:20 or as 25/20.
Alternatively, we can express the ratio as a fraction. If we divide the number of U.S. landmark postcards by the total number of U.S. and European landmark postcards, we get 25/(25+20)=25/45
The last way we can express the ratio as a decimal. By dividing the number of U.S. landmark postcards by the total number of U.S. and European landmark postcards, we can find that the ratio of U.S. landmarks to European landmarks is 25/45 =0.555 or 55.5%
Step-by-step explanation:
Help Please!!!!!!!!!
Answer:
what's the question?
Step-by-step explanation:
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 would I multiply 43.7(1.23) step by step
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:
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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please answer the following question, you will get reported if you send me a link.
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
Answer:
(0, 12)
Step-by-step explanation:
[-12] + [4] find the absolute value of each integer then add them
Hello there!
Answer:
16
Step-by-step explanation:
[tex] |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0[/tex]
-12 < 0 so |-12| = -(-12) = 12
4 > 0 so |4| = 4
|-12| + |4| = 12 + 4 = 16
Answer:
16
Step-by-step explanation:
Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].
This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.
The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.
Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation
12+4=16
Thus, the answer is 16.
Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!
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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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
Given m||n, find the value of x.
Answer:
x = 71
Step-by-step explanation:
180 - 109 = 71
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: