The area of the Rhombus is 124 cm².The correct answer is: 124 cm²
To find the area of a rhombus, we can use the formula:
Area = (diagonal1 * diagonal2) / 2
In the given image of the rhombus, we have the following measurements:
Diagonal1 = 15.5 cm
Diagonal2 = 16 cm
Plugging these values into the formula, we can calculate the area:
Area = (15.5 cm * 16 cm) / 2
= (248 cm²) / 2
= 124 cm²
Therefore, the area of the rhombus is 124 cm².
The correct answer is: 124 cm²
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the volume of a tree stump can be modeled by considering it as a right cylinder. evelyn measures its circumference as 197 in and its volume as 92650 cubic inches. find the height of the stump in feet. round your answer to the nearest tenth if necessary.
The height of the tree stump is 2.48 feet.
To find the height of the tree stump, we can use the formula for the volume of a right cylinder: [tex]V = \pi r^2h[/tex], where V represents the volume, r represents the radius, and h represents the height.
Given that the circumference of the tree stump is measured as 197 inches, we can use the formula for the circumference of a circle: C = 2πr, where C represents the circumference.
From the given circumference, we can solve for the radius, r, by dividing the circumference by 2π: r = C / (2π).
Plugging in the given circumference of 197 inches, we have: r = 197 / (2π) ≈ 31.416 inches.
Now, we can substitute the known values of the volume and radius into the volume formula: 92650 = π(31.416)^2h.
To solve for the height, h, we divide both sides of the equation by π(31.416)^2: h = 92650 / (π(31.416)^2) ≈ 29.74 inches.
Since we want to convert the height from inches to feet, we divide the height by 12: h = 29.74 / 12 ≈ 2.48 feet.
Therefore, the height of the tree stump is approximately 2.48 feet.
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pls help have to turn in soon
Answer:
The one you already have selected along with
428
Step-by-step explanation:
anything to the 0 power is itself
Abby's school is 6 blocks west of her house. Her mother works at a store that is 4 blocks east of her school. Use a number line to model the location of each building relative to the others, where east is represented by positive numbers and west is represented by negative numbers. What value represents the difference in position between Abby's house and her mother's store?
Answer:
10Step-by-step explanation:
Let us give a proper illustration in the number line
let H be Abby's house
and S be the school
let W be her mother's work.
kindly find attached a rough sketch of the number line for your reference
Question: What value represents the difference in position between Abby's house and her mother's store?
basically, the distance between two points on a number line is the difference between the points.
So the value that represents the position between Abby's house and her mother's store is the distance between the two points.
= 4-(-6)
=4+6
=10
GIVE BRAINLIEST PLEASE HELPWhich line on the graph below has a slope of zero?
p
q
r
s
Answer:
R.
Step-by-step explanation: Itś the closes.
If you count them one buy one to each letter.
Here is a net made of right triangles and rectangles. All measurements are given in centimeters. Three rectangles in a row measuring 6 by 4, 6 by 5, and 6 by 3. The left rectangle is bordered on the top by a right triangle with side lengths 4, 3, and 5. The right rectangle is bordered on the bottom by a right triangle with side lengths 3, 4, and 5. What is the surface area of the polyhedron? Explain your reasoning.
Answer:
a. 84 cm² b. The area of the polyhedron is found by finding the sum of the areas of each individual shape.
Step-by-step explanation:
a. The area of the polyhedron is gotten by finding the area of each individual shape.
The area of the left rectangle with sides 6 by 4 is 6 cm × 4 cm = 24 cm²
The area of the middle rectangle with sides 6 by 5 is 6 cm × 5 cm = 30 cm²
The area of the right rectangle with sides 6 by 3 is 6 cm × 3 cm = 18 cm²
The area of the triangle on the left rectangle is found using heron's formula where area A = √[s(s -a)(s -b)(s -c) where s = (a + b + c)/2 and a, b and c are the sides of the rectangle.
Since the rectangle has sides 4, 3 and 5, a = 4, b = 3 and c = 5
So, s = (a + b + c)/2 = s = (4 + 3 + 5)/2 = 12/2 = 6
A = √[s(s -a)(s -b)(s -c)
= √[6(6 - 4)(6 - 3)(6 - 5)
= √[6(2)(3)(1)
= √36
= 6 cm²
The area of the triangle on the right rectangle is found using heron's formula where area A = √[s(s -a)(s -b)(s -c) where s = (a + b + c)/2 and a, b and c are the sides of the rectangle.
Since the rectangle has sides 3, 4 and 5, a = 3, b = 4 and c = 5
So, s = (a + b + c)/2 = s = (3 + 4 + 5)/2 = 12/2 = 6
A = √[s(s -a)(s -b)(s -c)]
= √[6(6 - 3)(6 - 4)(6 - 5)]
= √[6(3)(2)(1)
= √36
= 6 cm²
The surface area of the polyhedron is the sum of all the areas. So, A = 24 cm² + 30 cm² + 18 cm² + 6 cm² + 6 cm² = 84 cm²
b. Explain your reasoning
The area of the polyhedron is found by finding the sum of the areas of each individual shape.
A point where two or more angle bisector meet is called ?
Answer:
.IncenterStep-by-step explanation:
it shows the center
or the center of an angle
What would my grade be if I have a 68 and I get a 95 on a test
Answer:
it depends if you've done alot of things in your grade if you havnt done much and that's one of your first grades then it with go up I'm just saying it will average around like 70-75 cause if you done a lot of things then it is all that averaged to 68 it won't go to 90 cause then an a- would be your average grades you've gotten
Calculate the equilibrium price Demand: q=10−2p Supply: q=3p Is the price elasticity of demand inelastic, elastic, or unit elastic? Old Quantity demanded: 100 New Quantity Demanded: 50 Old Price: 100 New Price: 120 A
The given demand equation is q=10−2p, while the supply equation is q=3p. When the two equations are equated, we get;10-2p = 3pp = 2The equilibrium price is thus: q = 3(2) = 6Therefore, the equilibrium price is 6.
When the quantity demanded reduces from 100 to 50, and price increases from 100 to 120, we can calculate the price elasticity of demand to determine whether demand is elastic, inelastic, or unit elastic. Using the formula, the price elasticity of demand can be found as follows:
\frac{\frac{50+100}{2}}{\frac{120+100}{2}}=\frac{75}{110}. Using the midpoint formula, the price elasticity of demand is:0.68Since the price elasticity of demand is less than one, demand is inelastic.
In summary, when demand is inelastic, a change in price will have a smaller effect on quantity demanded. When demand is elastic, a change in price will have a greater effect on quantity demanded. Unit elastic demand is when the price elasticity of demand is exactly equal to 1.In this problem, the equilibrium price was determined to be 6. From this point, the price elasticity of demand was calculated to be 0.68, which is less than 1, implying that demand is inelastic. Therefore, a change in price from 100 to 120 will have a smaller effect on quantity demanded. In this case, the price elasticity of demand is greater than zero, which implies that demand is not perfectly inelastic.
The equilibrium price is 6.The price elasticity of demand is 0.68, indicating that demand is inelastic. When the price increases from 100 to 120 and quantity demanded falls from 100 to 50, the change in price will have a smaller effect on quantity demanded because demand is inelastic.
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Suppose the average yearly salary of an individual whose final degree is a masters is $49 thousand less than twice that of an individual whose final degree is a bachelors. Combined two people with each of the educational attainments earn $113 thousand
Answer:
Masters = 59,000
Bachelors = 54,000
Step-by-step explanation:
Given that:
individual whose final degree is a masters is $49 thousand less than twice that of an individual whose final degree is a bachelors
Let masters salary = m
Bachelors salary = b
m = 2b - 49000 - - - (1)
m + b = 113,000 - - - (2)
From (2)
m = 113,000 - b
Substitute m = 113,000 - b into (1)
113,000 - b = 2b - 49000
113000 + 49000 = 2b + b
162000 = 3b
b = 162000/3
b = $54000
Hence,
Masters salary :
m = 113,000 - b
m = 113,000 - 54,000
m = 59,000
Evaluate the function f(x) at the given numbers (correct to six decimal places) rx) = , x- 0,-0.5,-0.9,-0.95, -0.99,-0.999, -2, -1.5, -1.1, -1.01, -1.001 5x- 6 r-0.95) = r-0.99) = r-0.999) = f-1.01 - r-1.001) = Guess the value of the limit of DNE.) x) as x approaches-1, correct to six decimal places. (If an answer does not exist, enter lim
The value of f(-0.95) is 10.75, the value of f(-0.99) is 10.95, and the value of f(-0.999) is 10.995. The value of the limit of f(x) as x approaches -1 is -11, correct to six decimal places.
Given that the function is f(x) = 5x - 6.
The function is evaluated at different values of x such as
x = 0, -0.5, -0.9, -0.95, -0.99, -0.999, -2, -1.5, -1.1, -1.01, and -1.001.
Using the above values, the function is evaluated as follows:
f(0) = 5(0) - 6 = -6
f(-0.5) = 5(-0.5) - 6 = -8.5
f(-0.9) = 5(-0.9) - 6 = -10.5
f(-0.95) = 5(-0.95) - 6 = -10.75
f(-0.99) = 5(-0.99) - 6 = -10.95
f(-0.999) = 5(-0.999) - 6 = -10.995
f(-2) = 5(-2) - 6 = -16
f(-1.5) = 5(-1.5) - 6 = -13.5
f(-1.1) = 5(-1.1) - 6 = -11.5
f(-1.01) = 5(-1.01) - 6 = -11.05
f(-1.001) = 5(-1.001) - 6 = -11.005
The value of f(-0.95) is 10.75, the value of f(-0.99) is 10.95, and the value of f(-0.999) is 10.995.
Therefore, the value of the limit of f(x) as x approaches -1 is -11, correct to six decimal places.
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STANDARD DEVIATION
In 2020, Governor Pat Reynolds is going to be running against Waterloo native Michele Bachmann. A poll by the Acme Polling company gives this result:
Reynolds: 63%
Bachmann: 37%
margin of error: plus-or-minus 5%
What is the standard deviation?
Answer:
0.1527
Step-by-step explanation:
Standard Deviation = √p × q/n
Reynolds: 63%
Bachmann: 37%
n = 100
Standard Deviation = √0.63 × 0.37/100
= √(0.02331)
= 0.1526761278
≈ 0.1527
Alice has a piece of ribbon that is 4.5 feet long. If she cuts the ribbon into 0.9 foot sections, how many sections will she have?
Answer:
6.9
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer would be 50.
Step-by-step explanation:
6) Make the following function linear using logarithms. \[ Q=f(L, K)=20 L^{2} K^{1} \]
Answer:
The linear function is given by z= log(20) +2y + x, where z=log(Q), y= log(L) and x=log(K).
Explanation:
we have given Q=f(L, K)=20 L^{2} K^{1}
Taking logarithms on both sides,
log(Q) = log(20) + 2log(L) + log(K)
let z=log(Q), y= log(L) and x=log(K)
we obtain
z= log(20) +2y + x
What should you do first when simplifying an expression that involved
variables with know values?
Please I need delates of 27
field. 27. Prove in detail that Q(√3+√√7) = Q(√3, √√7). 28 Generalizing Exercise 27 show that if at /h +0. then Of Tat Octa Th) for all a and hin
To prove that Q(√3+√√7) is equal to Q(√3, √√7), we need to show that both sets contain the same elements. Therefore, x is an element of Q(√3+√√7).
To prove that Q(√3+√√7) = Q(√3, √√7), we need to demonstrate that both sets contain the same elements.
Let x be an arbitrary element in Q(√3+√√7). By definition, this means x can be expressed as:
x = a(√3+√√7), where a is a rational number.
Expanding the expression, we have:
x = a√3 + a√√7
Now, we can rewrite this expression as:
x = (b√3) + (c√√7), where b = a and c = a.
This shows that x can also be expressed as a linear combination of √3 and √√7. Therefore, x is an element of Q(√3, √√7).
Conversely, if x is an element of Q(√3, √√7), then it can be expressed as:
x = b√3 + c√√7, where b and c are rational numbers.
We can rewrite this expression as:
x = (a√3) + (a√√7), where a = b + c.
This shows that x can also be expressed as a linear combination of √3+√√7. Therefore, x is an element of Q(√3+√√7).
Since every element in Q(√3+√√7) is also in Q(√3, √√7), and vice versa, we can conclude that Q(√3+√√7) = Q(√3, √√7).
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Prove in detail that Q(√3+√√7) = Q(√3, √√7). 7
show that if at /h +0. then Of Tat Octa Th)
Find the equation of the line that is perpendicular to the line 3z-y=-5 and passes through the point (7, -2)
Show work for the calculations without graphing, and choose the answer from below.
a.-x+3y=-1
b.x+3y=1
c.x-3y=-1
d.3x+y=3
To find the equation of the line that is perpendicular to the line 3z - y = -5 and passes through the point (7, -2), we need to determine the slope of the given line and then find the negative reciprocal to get the slope of the perpendicular line. Using the point-slope form, we can then find the equation of the perpendicular line.
The given line 3z - y = -5 can be rewritten in slope-intercept form as y = 3z + 5. The slope of this line is 3. The slope of a line perpendicular to it will be the negative reciprocal of 3, which is -1/3.
Using the point-slope form with the point (7, -2), we have:
y - y₁ = m(x - x₁),
where (x₁, y₁) is the given point and m is the slope of the line.
Substituting the values, we get:
y - (-2) = (-1/3)(x - 7),
y + 2 = (-1/3)(x - 7).
To simplify and bring it to standard form, we can multiply both sides by 3:
3y + 6 = -x + 7,
x + 3y = 1.
Therefore, the equation of the line perpendicular to 3z - y = -5 and passing through the point (7, -2) is x + 3y = 1. Thus, option (b) is the correct answer.
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shiva bought two motorbikes for Rs 80,000. He sold them to attain 5% profit on one
and 5% loss on other. Calculate his loss or gain percent if the selling price of the two
bikes are same.
Answer:
WAIT
Step-by-step explanation:
WHAT IS THE SLOPE OF THIS LINE?
Answer:
The slope of the line is - 3
Step-by-step explanation:
You go up 3 and over 1.. but it is a negative slope
Answer:
3
Step-by-step explanation:
I am in algebra
Also in slope intercept form it is y=3x+4
Which graph represents the function f(x) = x1 - 22
Answer:
A
Step-by-step explanation:
WHAT IS THE EQUATION OF LINE A
Answer:
what is your question?
How to workout fractions
Answer:
ex : 8/5
you divided the numerator by the denominator and it because a decimal
so ur answer for 8/5 would be 1.6
not really sure if this is what ur looking for but thats how u convert a fraction to a decimal
Good luck <3
– 7x+y=4
find the slope & y intercept
Answer:
Slope: 7
Y-Intercept: (0,4)
Step-by-step explanation:
Use the slope-intercept form (y=mx+b) to find the slope and y-intercept.
Answer:
Slope = 7 Y Intercept = (0, 4)
Step-by-step explanation:
Slope:
Convert to slope intercept form
-7x + y = 4
Add 7x to both sides
7x + y + 7x = 4 + 7x
Simplify
y = 7x + 4
Slope = 7
y intercept:
y = mx+b
Solve
y = 7*0+4
Simplify
y = 4
y intercept = (0, 4)
what is the value of cos(45-beta)
Answer:
Step-by-step explanation:
cos (x-y)=cos x cos y+sin x sin y
cos(45-β)=cos~45~cos~β+sin~45~sin~β
[tex]cos~45=sin~45=\frac{1}{\sqrt{2} }\\cos (45-\beta )=\frac{1}{\sqrt{2} } ~cos~\beta +\frac{1}{\sqrt{2} } ~sin~\beta \\=\frac{1}{\sqrt{2} } (cos~\beta +sin~\beta )[/tex]
How can you determine whether a shape is congruent to another shape?
You can determine whether a shape is congruent to another by determining whether a sequence of rigid
motions (select) v write one of the two shapes as a transformation of the other shape.
Answer: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.
hope this helps:)
Step-by-step explanation:
PLEASE SHOW WORK!!!!!
Answer: x <7
Step-by-step explanation:
x-3+2<6
x-1<6 u will move the constant to the right
x<6+1
x<7
That should be right I hope this help u out :)
Simplify the expression to a polynomial in standard form
(-2x – 1)(-3x2 + 6x + 8)
Simplifying the polynomial expression, (-2x – 1)(-3x² + 6x + 8), in its standard form would give us: 6x³ - 9x² - 22x - 8.
What is a Polynomial in Standard Form?A polynomial in standard from is an algebraic expression that has the term with the highest degree placed first.
Given:
(-2x – 1)(-3x² + 6x + 8)
Expand
-2x(-3x² + 6x + 8) -1(-3x² + 6x + 8)
6x³ - 12x² - 16x + 3x² - 6x - 8
Add like terms
6x³ - 9x² - 22x - 8
Therefore, simplifying the polynomial expression, (-2x – 1)(-3x² + 6x + 8), in its standard form would give us: 6x³ - 9x² - 22x - 8.
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what does the quadratic formula indicate about the graph of a quadratic function?
The Quadratic Formula indicates whether the graph intersects the ____ and where the ____
The quadratic formula provides us with valuable information about the graph of a Quadratic function, such as its x-intercepts, vertex, axis of symmetry, and shape.
The quadratic formula can be used to determine the roots or solutions of a quadratic equation. It can also provide information about the graph of a quadratic function.
The quadratic formula provides us with two solutions for a quadratic equation. The solutions may be real or complex depending on the value of the discriminant.
The discriminant is the term under the radical in the quadratic formula and is represented by b² - 4ac. If the discriminant is positive, there are two real solutions, which means that the quadratic function intersects the x-axis in two distinct points.
If the discriminant is zero, there is one real solution and the quadratic function intersects the x-axis at one point. In this case, the quadratic function is said to have a double root or a repeated root.
If the discriminant is negative, there are no real solutions and the quadratic function does not intersect the x-axis. Instead, it has two complex solutions, which correspond to two imaginary x-intercepts.
In this case, the quadratic function opens up or down and has a minimum or maximum value, depending on the sign of the coefficient a. If a is positive, the graph opens up and has a minimum value.
If a is negative, the graph opens down and has a maximum value. The vertex of the parabola is located at the point where the axis of symmetry intersects the parabola.
The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two congruent halves. The quadratic formula can also be used to find the coordinates of the vertex of the parabola.
The x-coordinate of the vertex is given by -b/2a, which is the axis of symmetry. The y-coordinate of the vertex is obtained by substituting this value of x into the quadratic function.
Therefore, the quadratic formula provides us with valuable information about the graph of a quadratic function, such as its x-intercepts, vertex, axis of symmetry, and shape.
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It takes 46 minutes for 10people to paint 3 walls. How many minutes does it take 4 people to paint 6 walls?
Answer:
10 people pain 3 walls in 46 minutes
So,
1 man can paint a wall in = 46/10 = 4.6 minutes
4 people can paint a wall in = 4.6 × 4 = 18.4 minutes.
Answer:
It takes 46 minutes for 10 people to paint 3 walls
It takes 92 minutes for 10 people to paint 6 walls (twice as long because you have twice as many walls)
you only have 4 people to paint the walls instead of 10 people
therefore it will take 2.5 times as long (10/4=2.5)
2.5*92=230 minutes
Step-by-step explanation:
This is actually a proportion question the one with the k.
So the question is about time so let's put a t first and a k on the other side.
t = k
Then let P = people and W = wall.
Let's take a look at the P first.
As the people increases, of course, the work would be faster making the time less. P go up, t go down. Meaning they're inversely proportional.
t = k/P
Next, the wall. When increasing the wall, you're increasing the work to do, and when the work increases, of course the time will also increase. Making them directly proportional.
t = (kW)/P
Using the first scenario:
46 = (k*3)/10
You will get the value of k = 460/3
Onto the second scenario:
t = kW/P; k = 460/3; W = 6; P = 4
t = ((460/3)*6)/4
t = 230 mins
You want to build a fence for your square backyard. The area of the fenced in yard is 500 ft. If you are using the wall of the house as one side of the fence, how many feet of fencing will you need if the base is x ft and the length is (x+5) ft?
To fence in a square backyard with an area of 500 ft², utilizing the wall of the house as one side, you would need a total of x + 3(x+5) feet of fencing.
Since the backyard is square, all four sides have equal lengths. Let's assume the length of each side is x. The area of a square can be calculated by multiplying the length of one side by itself, so we have x * x = x². Given that the area of the fenced-in yard is 500 ft², we can set up the equation x² = 500. Solving for x, we find that x ≈ 22.36 ft (rounded to two decimal places).
Now, we know the length of one side (x), and we need to find the total amount of fencing required. The three sides that do not utilize the wall of the house will each have a length of (x+5) ft, as mentioned in the question. Therefore, the total length of these three sides will be 3(x+5) ft.
Since the wall of the house is already serving as one side, we only need to add the length of the remaining three sides. Hence, the total amount of fencing required will be x + 3(x+5) = 22.36 + 3(22.36+5) ≈ 22.36 + 3(27.36) ≈ 22.36 + 82.08 ≈ 104.44 ft (rounded to two decimal places).
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