an answer is AE=DE
Step-by-step explanation:
A and D are originated from E
Solve for X. Round answer to nearest tenth
Answer:
14.5
Step-by-step explanation:
According to Euclidean relation the product of height and base multiplied is equal to the product of legs multiplied:
x × 29 = 21 × 20
Multiply the expressions.29x = 420
Divide both sides with 29.x = 14.5 approximately.
Farhan cycles the first part of a 150-km journey at an average speed of 35km/h and walks the
remaining distance at an average speed of 5 km/h. if he takes 4.5 hours for his entire journey, find the
distance by he cycles.
Answer:
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
5 x 4.5 = 22.5 (km)
150 – 22.5 = 127.5 (km)
35 – 5 = 30 (km/h)
127.5/30 = 4.25 (h)
4.25 x 35 = 148.75 (km)
Alternatively,
Let x be the distance that he cycles.
x/35 + (150 – x)/5 = 4.5
x + 1050 – 7x = 157.5
6x = 892.5
x = 148.75
Ans : 148.75km.
CAN SOMEONE CHECK MY GEOMETRY WORK? 25 POINTS.
Picture attached. If so please tell me what I did wrong thx
Step 3 is unnecessary (the statement is already given, plus you haven't proven the triangle is isosceles anyway).
After, omit step 5 and jump straight to 6.
After this, step 6 is the statement that used to be step 5, which is true by CPCTC.
Then, you can prove the required statement by definition from this.
A teacher asked 100 students in the school band to vote on the color they wanted for their uniforms. How many more students chose the color yellow than the color pink?
A. 12
B. 31
C. 19
D. 15
Answer:
15
Step-by-step explanation:
From the given Bar Graph
Number students who choose the color Yellow=20
Number of students who choose the color Pink=5
Required difference=20-5=15
Answer:
15
Step-by-step explanat
5 pink plus 15 which is the answer equals 20 yellow the answer is 15
Find the area and perimeter of the given plain figure
This shape is the rhombus, then ;
Rhombus area = side length × heightA= b × h
A= Rhombus area
h = height ; b = side length ( length of any side)
h= 3 inch ; b= 4.5 inch ; A=?
A= b × h
A= 4.5 × 3 = 13.5 inch²
____o__o_____
The perimeter of a rhombus = 4 × side of lengthP = 4× a
P = The perimeter of a rhombus ; a = side of length
p= ? ; a = 4.5 inch
P = 4× a
P = 4× 4.5 = 18 inch
I hope I helped you^_^
a frustum of cone is filled with ice cream such that the portion above the cone is a hemisphere. define the variables di
The total volume of the ice cream is -4.76 cubic inches.
The volume of the frustum of a cone can be calculated as follows:
V = (1/3) × π × h × (r1² + r2² + r1 × r2), where r1 and r2 are the radii of the top and bottom base of the cone.
And the volume of a sphere can be calculated as follows:
V = (4/3) × π × r³, where r is the radius of the sphere.
To calculate the total volume of the ice cream, we need to subtract the volume of the cone from the volume of the sphere.
Let's first calculate the radii of the top and bottom base of the cone.
r1 = (di/2) = (1.25/2) = 0.625 in.
r2 = (d0/2) = (2.25/2) = 1.125 in.
Now, we can estimate the volume of the cone.
V_cone = (1/3) × π × h × (r1² + r2² + r1 × r2)
= (1/3) × π × 2 × (0.625² + 1.125² + 0.625 × 1.125)
= 6.45 cubic inches.
Next, let's calculate the radius of the sphere.
r_sphere = (di/2) = (1.25/2) = 0.625 in.
And finally, we can calculate the volume of the sphere.
V_sphere = (4/3) × π × 0.625³
= 1.69 cubic inches.
So, the total volume of the ice cream is given by:
V_ice_cream = V_sphere - V_cone
= 1.69 - 6.45
= -4.76 cubic inches.
Note: Since the volume of the cone is larger than the volume of the sphere, the total volume of the ice cream will be negative, indicating that it is not possible to fill a frustum of a cone with ice cream in the manner described.
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--The given question is incomplete; the complete question is
"A frustum of a cone is filled with ice cream such that the portion above the cone is a hemisphere. Define the variables di=1.25 in., d0=2.25 in., h=2 in., and determine the volume of the ice cream."--
The distance between the two points is 20. If the location of the points is at (11, 1) and (x, 17).
What are the possible values of x?
Given:
The distance between the two points (11, 1) and (x, 17) is 20.
To find:
The possible values of x.
Solution:
Distance formula is:
\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Using this formula, the distance between (11, 1) and (x, 17) is
\(D=\sqrt{(x-11)^2+(17-1)^2}\)
\(20=\sqrt{x^2-22x+121+(16)^2}\)
\(20=\sqrt{x^2-22x+121+256}\)
Taking square on both sides.
\(400=x^2-22x+377\)
\(0=x^2-22x+377-400\)
\(x^2-22x-23=0\)
Splitting the middle term, we get
\(x^2-23x+x-23=0\)
\(x(x-23)+(x-23)=0\)
\((x-23)(x+1)=0\)
Using zero product property, we get
\(x=-1,23\)
Therefore, the possible values of x are -1 and 23.
O is the center of the regular octagon below. Find its perimeter. Round to the nearest tenth if necessary.
The perimeter of the regular octagon with an apothem of 5 units will be 33.14 units.
Since, We know that;
All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.
P = (Side length) x n
Here, The Apothem of a regular octagon is 5 units.
Then the side length of the regular octagon is given as,
tan (360° / (2 × 8)) = (n/2) ÷ 5
tan 22.5° = n / 10
n = 4.142
Then, the perimeter is given as,
P = 8 x 4.142
P = 33.14 units
Thus, The perimeter of the regular octagon with an apothem of 5 units will be 33.14 units.
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At a football game, a vender sold a combined total of 124 sodasand hot dogs the number of sodas sold was three times the number of hot dogs sold find the number of sodas and the numbers of hot dogs sold
Step-by-step explanation:
x = number of sold sodas
y = number of sold hot dogs
x + y = 124
x = 3y
so,
3y + y = 124
4y = 124
y = 31
x = 3y = 3×31 = 93
there were 93 sodas and 31 hot dogs sold.
The total area under a probability distribution equals 1.
A.) True
B.) False
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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In golf, scores are often stated as the number of stroked above or below par for the course. Four golfers played two rounds of golf during the weekend. The table list their scores for each round in relation to par (0).
Golfers Patrick Diane James Judy
Round 1 -6 +1 +2 -3
Round 2 -2 -4 +7 +6
A. What was Judy's total after both rounds of golf?
B. What is the difference between the lowest and highest scores earned? Write and solve an expression.
C. What was the combined total of everyones score for round 1 Write and solve an expression
Judy's total score is 3.
The difference between the lowest and highest score is -12.
The combined total of the scores from round 1 is -5.
What are the scores?The mathematical operations that would be used to solve this question are addition and subtraction. Addition is the process used to determine the sum of two or more number. The sign used to represent addition is +. Subtraction is the process used to determine the difference between two or more numbers. The sign used to represent subtraction is -.
Judy's total score is the sum of the score in round one and round one.
Judy's total score = -3 + 6 = 3
For negative numbers, the further the number is from 0, the smaller the number. For example, -10 is smaller than -5. For positive numbers, the closer the number is to zero, the smaller the number. For example,1 is smaller than 5.
Looking at the table, the smallest number is -6 and the largest number is 6
The difference : -6 - 6 = -12
The total scores from round 1 = 1 -6 +1 +2 -3 = -5
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2(x - 1) + 3x = 3 can anyone solve this
Answer:
If you're isolating X then it would equal x=1
Answer:
x = 1
Step-by-step explanation:
2 (x - 1) + 3x = 3
2x - 2 + 3x = 3 (combine like terms)
5x - 2 = 3
+ 2 + 2
5x = 5
5 5
x = 1
the coefficient of x in the expansion of (a x)5 (1-2x)6, where a is positive, is 90. find the value of a.
In the given expansion ,the value of a = -4/3 .
Binomial Distribution:
The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments. Each asks a yes-no question and each has its own Boolean outcome: success (probability p) or failure (probability p) (probability q = 1-p. A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a series of results is called a Bernoulli process. For one trial, n = 1, binomial distribution is Bernoulli distribution. The binomial distribution is the basis for the common binomial test of statistical significance.
In general, (A + B)⁵ = A⁵ + 5A⁴ᵇ + 10A²ᵇ*³ + 10A³ᵇ*² + 5AB⁴ + B⁵
So,
(3–2x)⁵= 3⁵ + 5*3⁴*(-2x) + 10* 3^3 *(-2x)^2 + 10*3^2*(-2x)^3 + 5*3*(-2x)^4 + (-2x)^5.
Multiplying that by (1 + ax) gives:
3^5 + 5*3^4*(-2x) + 10* 3^3 *(-2x)^2 + 10*3^2*(-2x)^3 + 5*3*(-2x)^4 + (-2x)^5 + ax(3^5 + 5*3^4*(-2x) + 10* 3^3 *(-2x)^2 + 10*3^2*(-2x)^3 + 5*3*(-2x)^4 + (-2x)^5).
In bold, we find the terms of x^2, so the coefficient of x^2 is 10*3^3*(-2)^2+a*5*3^4*(-2) = 360 - 810a
We know that this must equal 1440, so 360–810a = 1440.
Therefore a= -4/3.
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Solve this equation-3(x-14)+9=6+42
Answer:
The answer is ✰ x=1 ✰
Step-by-step explanation:
:))
Your teacher gave you 10/12 of a bag of candy, but she only gave your friend 3/6 of a bag.
How much more of the bag did your teacher give you than your friend?
Answer:
The teahcer gave you 4/12 of a bag more than your friend.
Step-by-step explanation:
10/12 ---> 10/12
3/6 ---> 6/12
10/12 - 6/12 = 4/12
The area of a rectangle is 28x6y9 square feet. If the length of the rectangle is 14x3y3 feet, which expression represents the width of the rectangle?
Answer:
2x³y⁶
Step-by-step explanation:
A rectangle is a plan shape with pair of opposite side equal and parallel.
The Area of a rectangle is
A = L×W ........................... Equation 1
Where L = Length, W = Width.
make W the subject of the equation.
W = A/L.................... Equation 2
Given: A = 28x⁶y⁹ square feet, L = 14x³y³ feet.
Substitute into equation 2
W = 28x⁶y⁹/14x³y³
W = 2x³y⁶ feet.
Hence the expreesion for the width is 2x³y⁶
Answer:
W = 2*x^3*y^6
Step-by-step explanation:
For this problem, we need to use the relationship:
a^x/a^y = a^(x - y)
For a rectangle with length L and width W, the area is:
A = L*W
We know that in this case we have:
A = 28*x^6*y^9
and:
L = 14*x^3*y^3
We want to find the value of W.
Using the above equation, we have that:
A = 28*x^6*y^9 = L*W = (14*x^3*y^3)*W
28*x^6*y^9 = (14*x^3*y^3)*W
We can solve this for W by isolating it in the right side.
First, let's divide by 14 in both sides to get:
(28*x^6*y^9)/14 = (14*x^3*y^3)*W/14
(28/14)*x^6*y^9 = (14/14)*x^3*y^3*W
2*x^6*y^9 = x^3*y^3*W
Now let's divide by x^3 in both sides to get:
(2*x^6*y^9)/x^3 = (x^3*y^3*W)/x^3
2*(x^6/x^3)*y^9 = (x^3/x^3)*y^3*W
Now we use the relationship that is in the beginning:
2*x^(6 - 3)*y^9 = y^3*W
2*x^3*y^9 = y^3*W
Now let's divide by y^3 in both sides:
(2*x^3*y^9)/y^3 = (y^3*W)/y^3
2*x^3(y^9/y^3) = (y^3/y^3)*W
2*x^3*y^(9 - 3) = W
2*x^3*y^6 = W
The width of the rectangle is given by the equation:
W = 2*x^3*y^6
A shipping container will be used to transport several 110-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 3800 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 110-kilogram crates that can be loaded onto the shipping container?
The inequality that can be used to determine cc, the greatest number of 110-kilogram crates that can be loaded onto the shipping container is 3800 + 110cc = 23000.
How to calculate the inequality?It should be noted that from the information, the greatest weight that can be loaded into the container is 23000 kilograms and other shipments weighing 3800 kilograms have already been loaded into the container.
Therefore, the greatest number of 110-kilogram crates that can be loaded onto the shipping container will be:
3800 + 110cc = 23000
It should be noted that cc represents the number that can be loaded.
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Find the difference.
-7 - (-2) =
-7-(-2)
=> -7+2
=> -5
Hope it helps!
Answer: -5
Step-by-step explanation: In order to answer this question you need to remember that subtracting a negative is like adding a positive. So whenever you see something like -7 - (-2) its the same thing as -7 + 2. Just replace the two negative signs with a positive one.
17/100+ 6/10+17/100+ ?/100=?
Answer:
104/100
Step-by-step explanation:
The easiest way to do this problem is to convert the fraction 6/10 to have the same denominator as the other fractions, which in this case is ?/100.
we can convert 6/10 to have 100 as a denominator by multiplying the fraction by 10
\(\frac{6}{10} *10=\frac{60}{100}\)
now we can just add the fractions together!
\(\frac{17}{100} +\frac{17}{100} +\frac{60}{100} =\frac{104}{100}\)
The cost of a pencil at the school store is $0.52. Which student provides the best estimate for the cost of 4 pencils?
Cora. 52 cents is about 50 cents. 4 plus 50 cents equals 4 dollars and 50 cents. Isaiah. 52 cents is about 50 cents. 4 times 50 cents equals 2 dollars. Rebea. 4 pencils is about 10 pencils. 10 plus 52 cents equals 10 dollars and 52 cents. Yolana. 4 pencils is about 10 pencils. 10 times 52 cents equals 5 dollars and 20 cents.
Cora
Isaiah
Rebecca
Yolanda
Answer: which ever on is 2.00 dollars or 2.10 dollars because the exact number is 2.08
Step-by-step explanation:
Leah bought 8 t-shirts all for the same price.
After using a coupon that took $4 off the
price, her total before tax was $36. What was
the cost of each shirt?
Answer:
Step-by-step explanation:
Create the equation 8x-4=36. Adding 4 to both sides gets 8x=40. Dividing both sides by 8 gets us x=5.
The graphs below show measurements from cubes
with different side lengths.
A.
Perimeter of 1 Face
24
8
40
36
32
8 28
2
Mark this and return
Side Length
Which pairs of variables have a linear relationship?
Select two options.
side length and perimeter of 1 face
Operimeter of 1 face and area of 1 face
surface area and volume
area of 1 face and surface area
side length and volume
Pls help
Therefore , the solution to the given problem of linear equation comes out to be graph shows one face's side length and perimeter are linearly correlated.
What is a linear equation, exactly?The maximum number of degrees that can be utilized in a linear model is one. Any equation with a potential extent of 2 or greater is considered nonlinear. A map has a straight line with a simple equation on it. On the graph, a nonlinear equation results in a curve.
Here,
One face's side length and perimeter are linearly correlated.
linear formula
The formula for a linear model is y = mx + b.
If m is the change rate and b is indeed the y intercept, y and x are variables.
The graph shows:
One face's side length and perimeter are linearly correlated.
Therefore , the solution to the given problem of linear equation comes out to be graph shows one face's side length and perimeter are linearly correlated.
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HELPPP PLEASEEEE………..
Answer:
the answer is 54°......
help me with this math question plz
Answer:
The mean is '547' !
Step-by-step explanation:
549+542+554+551+539 = 2735
So, 2735 ÷ 5 = 547
Hope this helps you !
Answer:
Add everything and divide by the number of values
total number of values = 5
Mean = 549+542+554+551+549/5
=>547
The mean equals 547
Number
8.6134
5.5218
...to the nearest tenth ...to the nearest hundredth
..to the nearest thousandth
Concepts and Applicati
The following numbers are rounded up as follows:
8.6134
nearest tenth = 8.6nearest hundredth = 8.61nearest thousandth = 8.6135.5218
nearest tenth = 5.5nearest hundredth = 5.52nearest thousandth = 5.522How to round up?Rounding up a number means to round a number to the smallest integer that is not less than it, or to some other greater value.
Thousandth, hundredth and tenth are used after the decimal point.
nearest tenth means one number after the decimal pointnearest hundredth means two numbers after the decimal pointnearest thousandth means three numbers after the decimal point8.6134
nearest tenth = 8.6nearest hundredth = 8.61nearest thousandth = 8.6135.5218
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You can buy 3 candy bars at quick market for $2.17. How many can you buy for $17.36?
Answer:
24 candy bars
Step-by-step explanation:
3 = $2.17
x = $17.36
cross-multiplying, we have;
x = (17.36 × 3)/2.17
x = 24
Therefore, you can buy 24 candy bars
True or False: In order to solve the equation below, you would add 6 to each side then
multiply by 8 on each side.
g/8- 6 = -12
find the value of each expression for n = 2.
Answer:
1. 22
2. 22
3. 28
Step-by-step explanation:
Substitue the n in each expression with two, then solve the problem for the value
-2n + 1.8 = 3.2
What value of n makes the equation true?
Answer:
1.4
Step-by-step explanation:
$_$
Answer:
I think its -4
Step-by-step explanation:
I NEEEED answers WITH 5.3.3 in CONNEXUS FOR MATH PLSSS
A square has a perimeter of 12 units. One vertex is at the point left-parenthesis negative 1 comma 1 right-parenthesis, and another vertex is at the point left-parenthesis 2 comma 4 right-parenthesis. Which of the following points could be another vertex?
A. left-parenthesis 1 comma 2 right-parenthesis
B. left-parenthesis 2 comma 1 right-parenthesis
C. left-parenthesis 1 comma negative 2 right-parenthesis
D. left-parenthesis 2 comma negative 1 right-parenthesis
Another possible vertex of the square is determined as (2, 1).
option B is the correct answer.
What is the vertex of the square?The vertex of a figure is the point of intersection of two sides of the shape.
The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;
P = 12 units
a side length = 12 units / 4 = 3 units
To determine another possible vertex of the square, the length between the points must be equal to 3.
Let's consider point A;
A = (1, 2)
given vertex = (-1, 1)
distance between the points = √ (-1 -1)² + (1 - 2)² = √5
Let's consider point B;
B = (2, 1)
given vertex = (-1, 1)
distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3
Thus, point B is another possible vertex of the square.
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