Answer:
7/20 is the scale factor
Step-by-step explanation:
We can see that Hexagon JKLMNO is bigger than Hexagon PQRSTU. This means that the scale factor is less than one.
LK is similar to QR.
QR/LK
7/20 is the scale factor.
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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PLEASE HELP
5|12-r|>15
Step-by-step explanation:
5.|12 - r| > 15
|12 - r| > 15/5
|12 - r| > 3
12 - r < -3 or 12 - r > 3
-r < -3 - 12 or -r > 3 - 12
-r < -15 or -r > -9
r > 15 or r < 9
Solve the Systems of equations. HELP PLEASE
Answer:
Im pretty sure every hat and mask is 1 dollar
Pls help I’m stuck Tysm I can’t thank any more
Using the concept of perimeter of polygon, the perimeter of figure C is 27cm shorter than total perimeter of A and B
How much shorter is the perimeter of C than the total perimeter of A and B?To solve this problem, we have to know the perimeter of the polygon C.
The perimeter of a polygon is the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The perimeter of the figures are;
Using the concept of perimeter of a rectangle;
a. figure A = 2(4 + 11) = 30cm
b. figure B = 2(8 + 4) = 24cm
c figure C = 11 + 4 + 8 + 4 = 27cm
Now, we can add A and B and then subtract c from it.
30 + 24 - 27 = 27cm
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(1 point) Find the antiderivative F of f(x)=4−3(1+x2)−1 that satisfies F(1)=−3.
The value of antiderivative F will be;
⇒ F = 4x - 3 arc tan x - 7 + 3π/4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The function is,
⇒ f (x) = 4 - 3 (1 + x²)⁻¹
Now,
Since, The function is,
⇒ f (x) = 4 - 3 (1 + x²)⁻¹
Hence, The antiderivative F of f (x) is,
⇒ F = ∫ (4 - 3 (1 + x²)⁻¹ ) dx
⇒ F = ∫ 4 dx - 3 ∫ (1 + x²)⁻¹ dx
⇒ F = 4x - 3 arc tan x + c
Where, c is constant of integration.
Here, The antiderivative of f (x) is satisfy F(1) = - 3,
So, Substitute x = 1, F = - 3
⇒ F = 4x - 3 arc tan x + c
⇒ - 3 = 4×1 - 3 arctan (1) + c
⇒ - 3 = 4 - 3π/4 + c
⇒ - 3 - 4 + 3π/4 = c
⇒ c = - 7 + 3π/4
Thus, The antiderivative F of f (x) is,
⇒ F = 4x - 3 arc tan x - 7 + 3π/4
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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 169 cm and a standard deviation of 2.2 cm. For shipment, 10 steel rods are bundled together.
Answer the following rounding to three decimals where appropriate.
Find the probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm.
P(M > 168.58) = ???
The probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm is 0.7486
How to calculate the probabilityFirst, we need to calculate the z-score for the sample mean:
z = (x - μ) / (σ / √n)
z = (168.58 - 169) / (2.2 / √10)
z = -0.67
Next, we need to find the probability that a randomly selected bundle of steel rods will have a mean length greater than 168.58 cm. This is equivalent to finding the area under the standard normal distribution curve to the right of z = -0.67.
Using a standard normal distribution table or calculator, we find that the probability is 0.7486.
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If Izzy has 43 minutes to do her work and her brother has 30 because he started before her how many minutes they would have together do you have to multiply to find it out
Answer:
you dont have to multiply
Step-by-step explanation:
because the keyword "Have together" in math indicates it is an adding problem
can you help me please
IT A MULTI-STEP PROBLEM HELP! 6 PARTS TO IT!!! IM GOING TO FAIL!! CAN PLEASE DO IT STEP BY STEP
a. The cost of one large pizza with one topping is $13.50. To purchase one large and five medium pizzas, we would need to buy one large pizza at regular price and five medium pizzas at the discounted price. The cost of the large pizza is $13.50, and the cost of each medium pizza is $6.25. Therefore, the total cost would be:
Total cost = Cost of large pizza + Cost of 5 medium pizzas
Total cost = $13.50 + ($6.25 x 5)
Total cost = $13.50 + $31.25
Total cost = $44.75
Therefore, it would cost $44.75 to purchase one large pizza and five medium pizzas.
b.Number of medium pizzas Total cost
0 | $13.50
1 | $19.75
2 | $26.00
3 | $32.25
4 | $38.50
c. Let "m" be the number of medium pizzas. Then the total cost of purchasing one large pizza with one topping and m medium pizzas can be represented as:
Total cost = 13.50 + 6.25m
d. If you have a total of $100 and purchase one large pizza, you would have $100 - $13.50 = $86.50 left to spend on medium pizzas. The cost of each medium pizza is $6.25. Therefore, you can buy:
Number of medium pizzas = $86.50 ÷ $6.25 = 13.84
Since you cannot buy a fraction of a pizza, you can only buy 13 medium pizzas with $86.50.
e. The area of a pizza is given by the formula A = πr^2, where A is the area and r is the radius. The area of a large pizza is:
A = πr^2
A = 3.14 x 8^2
A = 3.14 x 64
A = 200.96
The area of a medium pizza is:
A = πr^2
A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5
Therefore, the total area of one large pizza and five medium pizzas is:
Total area = Area of large pizza + (Area of medium pizza x 5)
Total area = 200.96 + (78.5 x 5)
Total area = 200.96 + 392.5
Total area = 593.46
Rounding to the nearest inch, the total area of pizza is 593 square inches.
f. To calculate the cost per square inch of pizza, we need to divide the total cost of the pizzas by the total area of the pizzas. The total cost of one large pizza and five medium pizzas is $44.75, and the total area is 593 square inches. Therefore, the cost per square inch of pizza is:
Cost per square inch = Total cost / Total area
Cost per square inch = $44.75 / 593
Cost per square inch = $0.08 (rounded to the nearest cent)
Therefore, the cost per square inch of pizza is 8 cents.
Luca has a box of dog toys. There are 3 bones, 5 balls, and a stuffed animal. What is the ratio of bones to stuffed animals?
A.
9:3
B.
3:8
C.
3:1
D.
1:3
Answer:
C. 3:1
Step-by-step explanation:
Ive done this lesson before.
Answer:
C. 3:1
Step-by-step explanation:
They are only asking about the bones and the one stuffed animal. Also it is 3 nes to 1 stuffed animal, erefore 3:1
Solve the equation.
3x + 2(4x - 6) = 8x + 1
What is the value for x?
w
Answer:
=
1
3
3
Step-by-step explanation:
a triangular field has boundaries of lengths 170m,195m and 210m,find the size of the largest interior angle of the field
The size of the largest interior angle of the field is 69.86°
What is cosine law?The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,
We know that, angle opposite to the largest side is largest,
Therefore,
The largest angle is opposite is 210 m side, (say c)
Using the cosine rule,
210² = 170²+195²-2(170)(195)cosC
CosC = 170²+195²-210² / 2(170)(195)
CosC = 22825 / 66300
CosC = 0.344268477
C = 69.86°
Hence, the size of the largest interior angle of the field is 69.86°
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In the diagram, the measures of 22, 23 and 26 are 40°. The measure of 21
is 140°. Are lines cand d parallel?
محے
A. No, because 26 and 21 are not congruent.
B. Yes, because 22 and 23 are congruent.
C. No, because 21 and 22 are not congruent.
D. Yes, because 22 and 26 are congruent.
The lines c and d are not parallel.
The correct answer is A. No, because 26 and 21 are not congruent.
In order for two lines to be parallel, the corresponding angles formed by a transversal should be congruent. However, in this case, angles 26 and 21 are not congruent, as indicated by their different measures of 40° and 140°, respectively.
Therefore, we can conclude that lines c and d are not parallel. The congruence of angles 22 and 23, mentioned in option B, or the congruence of angles 22 and 26, mentioned in option D, does not provide sufficient information to determine the parallelism of lines c and d.
The key factor in determining parallel lines is the congruence of corresponding angles, which is not met in this scenario.
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c) Evaluate: 3√11x√2
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
There are 70 ripened tomatoes in a garden. The ripened tomatoes make up 35% of all the tomatoes in the garden.
What is the total number of tomatoes in the garden?
Enter your answer in the box.
Polygon B is a scaled copy of Polygon A.
What is the scale factor from Polygon A to Polygon B?
Hey There!!
The answer to this is: 25 times larger. The scale factor is 5, so each side length of the polygon was multiplied by 5.
Key Idea
If the length of a figure scales by x, then area of the figure scales by x^{2}
The Polygon B is created with a scale factor of 5. So, the area of Polygon B scales by 5^{2}
5^{2} = 5 × 5=25
The area of Polygon B is 25 times larger than the area of Polygon A
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find the volume of the cylinder if its radius is 1.4cm and height is 9cm
Answer:
volume of cylinder: 55.4 cm³
Step-by-step explanation:
volume of cylinder is π * radius² * height
here given radius is 1.4 cm and height is 8 cm
using the formula:
π * 1.4² * 9
55.42 cm³
55.4 cm³ ...if rounded to nearest tenth.
To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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-2x+y=3
4x+2y=2
Which way The lines are Going?
Answer: -2x+y=3 is going up while 4x+2y=2 is going down
Step-by-step explanation:
Technically going "up" or "down" is a horribly generalized term for what it looks like but it's the only way to describe it. If you put both equations in slope-intercept form:
-2x+y=3
y=2x+3
4x+2y=2
2y=-4x+2
y=-2x+1
You can see that the second equation has a negative slope meaning it will be going down, while the first equation has a positive slope. (The slope would be the m in y=mx+b)
During a bake sale, dozen cookies were sold in hour. What is the unit rate for the dozens of cookies sold per hour?
Answer:
12:1
Step-by-step explanation:
Answer:
12:1
Step-by-step explanation:
Because 12 is the amount of cookies to the ratio of hours which is 1 therfore 12:1
How many 3-letter words can we make from the letters A, B, C, and D, if we are allowed to repeat letters, and we must use the letter A at least once? (Here, a word is an arbitrary sequence of letters.)
tìm diện tích hình thang
Answer:
Diện tích hình thang bằng trung bình cộng của 2 đáy nhân với chiều cao của nó. Trong đó: + S: Diện tích. + a,b: Lần lượt là độ dài 2 đáy.
Step-by-step explanation:
uhhh hope that helps:3
please help as fast as possible
Answer:
D.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Determine which set of ordered pairs represent a
Function and justify your selection.
{(-1,4), (2, 4), (8,4), (10,4)}
{(0, -2), (3, 7), (0, 2), (18,2))
{(-1,3), (-1,-1), (-1,-12), (-1,0)}
{(1, 2), (2, 3), (3, 4), (3,5)}
Justification: (What is your reasoning?)
Answer:
{(-1,4), (2, 4), (8,4), (10,4)}
all of the x-values are different
Step-by-step explanation:
The other three options have duplicate x-values with different y-values.
Let f = <12, 2> and v= <2, 4>. Find 4f - 6v.
4f - 6v is equal to the vector <36, -16>.
To find 4f - 6v, we need to perform scalar multiplication on both vectors and then subtract the result.
Scalar multiplication of a vector by a scalar k is simply multiplying each component of the vector by k. For example, if we have the vector <a, b>, then k times that vector would be <ka, kb>.
Using this definition, we can find:
4f = 4<12, 2> = <48, 8>
6v = 6<2, 4> = <12, 24>
So, 4f - 6v = <48, 8> - <12, 24> = <36, -16>
Therefore, 4f - 6v is equal to the vector <36, -16>.
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The distance from the pitcher’s mound to home plate is 60.5 feet. Does this form a right triangle with first base? Explain your reasoning
Answer:
NO.
Step-by-step explanation:
60.5 + 60.5 = 121
One year ago, you allocated the funds in your portfolio among four securities in the proportions
listed below. The rate of return on each security for the year is given in the third column of the table.
Security
Canadian
Equity
Provincial
Bonds
Asian Equity
Ethical Funds
Proportion Rate of return for the
invested (%)
year (%)
25
10
35
30
12
7
22
-12
Calculate the rate of return for the entire portfolio.
The rate of return for the entire portfolio, given the amount allocated to each of the four securities is
How to find the rate of return ?The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.
The rate of return for the portfolio is therefore :
= ∑ ( proportion invested x rate of return )
= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x - 12 % )
= 7. 8 %
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ANSWER THIS PLEASE!!!!
Answer:
J
Step-by-step explanation:
Done.
On the last day of vacation, the Ramirez family drove 252 miles from a state park to its home. The drive covered 35% of the total distance the family traveled during its vacation. What is the total distance the Ramirez family traveled during its vacation?
Answer:
Step-by-step explanation:
35 percent of total miles traveled (say T)is 252 miles.
(35/100) * T=252
T=(252*100)/35 => T=720 miles
So total distance the Ramirez family traveled during its vacation is 720 miles
Answer:
720 miles
Step-by-step explanation:
Misprints on Manuscript Pages In a 400-page manuscript, there are 200 randomly distributed misprints Part 1 of 2 Find the mean number of misprints per page. Round the answer to one decimal place as needed. X = 0.5 Part: 1/2 Part 2 of 2 B If a page is selected, find the probability that it has 3 misprints The probability is (Round your answer to four decimal places)
Part 1: the mean number of misprints per page is 0.3668 and Part 2: the probability that it has 3 misprints is 0.0560.
Part 1:
Using TI 84 calculator,
P(X > 39500) = normal cdf ( 39500 , 1000, 37764 , 5100)
= 0.3668
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen
Part 2:
P ( X > 38700 ) = normal cdf ( 38700 , 1000 , 37764 , 5100/sqrt(75) )
= 0.0560
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