A construction crew lifts approximately 680 lb. of material several times during a day from a flatbed truck to a 34 ft rooftop. A block and tackle system with 50 lb. of effort force is designed to lift the materials.
How many supporting strands will be needed in the pulley system?
To find the number of strands needed divide the total weight by the force.
680 / 50 = 13.6
Because the answer is not a whole number you would round up to the next whole number.
13.6 rounds up to 14
The number of strands needed would be 14.
Pls answer! this problem
Answer:
9k + 36 represents the perimeter of the triangle.
Step-by-step explanation:
Have a nice day!
Austin had 1200 apples eaten in his hole life. Austin is 22 years old . how many apples did he eat per year?
Answer:
54.54
Step-by-step explanation:
If you take 1200 and divide it by 22, you get this. Hope it helps!
Tracy took a test and had 24 questions. She got 5/6 of the questions correct. How many questions did she answer correctly? Write an equation to model your work
Tracy got 20 questions correct in her test.
Tracy took a test in which there are 24 questions, out of which Tracy got 5/6 correct.
Hence he got 24 x 5/6 = 20 questions correct.
An equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign.
So ,an equation to model this would be:
x = 24 x 5/6
where x is the number of questions tracy answered correctly.
Hence Tracy answered 20 questions correctly.
To learn more about equations visit:
brainly.com/question/10413253
#SPJ4
heyy! i’ll give brainliest please help
Answer:
Sooo sorry if wronge put the third one colosseums
Segment AB is tangent to c.find AB.
====================================================
Explanation:
Segment AB is tangent to circle C. That tells us angle ABC is a 90 degree angle (the tangent is always perpendicular to the radius at the point of tangency). In other words, segments AB and BC are perpendicular. So triangle ABC is a right triangle.
The hypotenuse is AC = 22+22 = 44 units. One of the legs is BC = 22 units, due to the fact that radii of the same circle are the same length.
We then use the pythagorean theorem to find the missing leg length.
(AB)^2 + (BC)^2 = (AC)^2
(AB)^2 + (22)^2 = (44)^2
(AB)^2 + 484 = 1936
(AB)^2 = 1936 - 484
(AB)^2 = 1452
AB = sqrt(1452)
AB = 38.105118 which is approximate
AB = 38.1 after rounding to the nearest tenth
What is the product of the factors 8.075 * 0.08
im not that smart guys
please
Answer: 0.640
Step-by-step explanation:
Multiply in your calculator
The circumference of a circular garden is 141 feet. What is the radius of the garden?
Round your answer to the nearest hundredth.
Answer:
r ≈ 22.44 ft
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ), then
141 = 2πr ( divide both sides by 2π )
[tex]\frac{141}{2\pi }[/tex] = r , that is
r ≈ 22.44 ft ( to the nearest hundredth )
Step-by-step explanation:
plug it in
circumference = 2 x Pi x r
141 = 2 x 3.14 x r
141 = 6.28 x r
141 ÷ 6.28 = r
22.45 = r
How many solutions does 2 variables have?
A linear equation in two variables has only 1 solution.
Now, According to the question:
Let's know:
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2. Whereas if we speak about linear equation in two variables, it has two solutions.
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0.
A linear equation in two variables has only 1 solution.
Learn more about Linear Equation at:
https://brainly.com/question/21835898
#SPJ4
The circumference of a circle can be represented by the equation C= 2πr. Rewrite
this equation to represent the value of r in terms of C and π. Use your new equation to find the radius of a circle that has a circumference of 54 inches. Leave your answer in terms of pi and solve algebraically
Answer:
see explanation
Step-by-step explanation:
C = 2πr ( r is the radius )
isolate r by dividing both sides by 2π )
[tex]\frac{C}{2\pi }[/tex] = r
given C = 54 , then
r = [tex]\frac{C}{2\pi }[/tex] = [tex]\frac{54}{2\pi }[/tex] = [tex]\frac{27}{\pi }[/tex] inches
In AAEC, G is the centroid.
A
B.
If EG = 6, find GB.
O 2
03
06
09
B) The length of GB is 3 in the given triangle.
The centroid of a triangle is the point at which the three medians of the triangle intersect. A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. The three medians divide the triangle into six smaller triangles, each with a vertex at the centroid.
The ratio in which the centroid divides a median of a triangle is 2:1. That is, the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.
So, if G is the centroid and B is the midpoint of the side opposite to point A, the ratio of EG: GB is 2:1.
so the length of GB = EG/2
so the length of GB = 3
To know more about median click on below link:
https://brainly.com/question/28060453#
#SPJ4
Complete question:
In ΔAEC, G is the centroid , as shown in the figure .
if EG = 6 ,find GB
A) 2
B) 3
C) 6
D) 9
For the functions below, what is the direction of fastest increase at (1, 1, 1)? (a) f(x, y, z) = 1/x² + y² + 22
(b) f(x, y, z) = 4xy + 4yz + 4xz 6 (c) f(x, y, z) x2 + y2 + z2
Answer: For all three functions, the direction of fastest increase at the point (1, 1, 1) is the direction of the gradient vector of the function at that point.
For function (a), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:
[2/x³, 2y, 22] = [2, 2, 22].
The direction of this gradient vector is given by the direction in which each of its components is increasing the most rapidly. In this case, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.
For function (b), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:
[4y + 4z, 4x + 4z, 4x + 4y] = [4, 4, 4].
Again, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.
For function (c), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:
[2x, 2y, 2z] = [2, 2, 2].
As before, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.
Therefore, for all three functions, the direction of fastest increase at (1, 1, 1) is the direction of the positive x, y, and z axes.
Step-by-step explanation:
A car moving at a constant speed passed a timing device at t=0. After 9 seconds the car has traveled 1,053ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
d = 117t
Step-by-step explanation:
The equation is
y = mx + b
Here m is the function's slope, and b is the y-intercept.
We know
As the car moves at a constant speed passes a timing device at t=0.
After 9 seconds, the car traveled 1053ft.
We have to find the slope
Slope = rise/run or (y2 - y1) / (x2 - x1)
We have the slope is
m = 1053/ 9 = 117
So, the equationn is d = 117t
If you can, please give me a Brainliest; thank you!
Translate to algebraic: Three times the difference of x and y is equal to
twice x plus 5.
What is the y-intercept of 6x 3y =- 12?
The y-intercept of the equation 6x + 3y = -12 is -4.
Therefore the answer is -4.
The y-intercept of a linear equation is the point at which the line crosses the y-axis. In other words, it's the point at which x = 0.
To find the y-intercept of the equation 6x + 3y = -12, we can set x = 0 and solve for y.
Substituting x = 0 into the equation:
6(0) + 3y = -12
3y = -12
To find the y-intercept, we divide both sides by 3:
y = -4
So the y-intercept of the equation 6x + 3y = -12 is (0, -4). This means that when x = 0, y = -4 and the graph of this equation will cross the y-axis at the point (0, -4).
To know more on intercept
https://brainly.com/question/14180189
#SPJ4
Graph each function. State the domain and range. y=-2(1/4)^x-3
Answer:
hi the answer is y=-3
Step-by-step explanation:
i got it right on my test
On a negatively skewed curve, which is true?a.The median is lower than the mode which is lower than the mean. b.The mean, median, and mode are the same. c.The mean is lower than the median which is lower than the mode. d.The mode is lower than the mean which is lower than the median. e.The mean is lower than the mode which is lower than the median.
A distribution is negatively skewed if the mode is larger than the mean. The final answer is C.
In a negatively skewed distribution:
A. the median is larger than the mode.
B. the mean is larger than the mode.
C. the mode is larger than the mean.
D. the mean is larger than the median.
Negatively Skewed Distribution:
left skewed distributions occur when the long tail is on the left side of the distribution. Statisticians also refer to them as negatively skewed. This condition occurs because probabilities taper off more slowly for lower values. Therefore, you’ll find extreme values far from the peak on the low side more frequently than the high side.
The distribution is negatively skewed if the data values are clustered on the right side of the curve causing it to have a peak on the right but a flatter tail on the left side. This happens when the data set has more frequently occurring higher values than lower values.
When the median is closer to the box’s higher values and the lower whisker is longer, it’s a left skewed distribution. Notice that the longer tail extends towards the lower values, making it negatively skewed.
To find out if the data set follows a normal or skewed distribution, the three measures of central tendency (mean, median, and mode) can be compared.
The mean is greater than the median. The mean overestimates the most common values in a positively skewed distribution
The distribution is negatively skewed if the mean is lesser than the median and the median is lesser than the mode.
The given scenario is the same as negatively skewed I if the mode is larger than the mean. The final answer is C.
To know more about skewed Distribution visit brainly.com/question/1604092
#SPJ4
Identify each part of the circle given the equation.
(x - 6) + (y - 8)2 = 196
Center :(
I
Radius:
Answer:
Radius = 14 units
Center = ( 6, 8)
Step-by-step explanation:
The correct equation is ,
=> (x-6)² + (y-8)² = 196
=> (x-6)² + (y-8)² = 14²
Compare to Standard form , which is ,=> ( x - h)² + ( y - k)² = r²
( h , k ) is Center r is radiusHence on comparing we have,
Radius = 14 units Center = ( 6, 8)Put these numbers in order from least to greatest.
-8.52
-8.15
8.25
0.55
Answer:
-8.52, -8.15, 0.55, 8.25
Step-by-step explanation:
The lowest of negatives goes first, and the highest of positives goes last.
Answer:
from the least to the highest which is:
-8.52
-8.15
0.55
8.25
I literally need help with this question-
It’s ASA congruence btw
20 points
Answer:
B and E
Step-by-step explanation:
If you look closely and compare the two, you could tell which angles are the same.
∆ABC is divided into three smaller triangles and one quadrilateral. Area of ∆AFE is 4, Area of ∆AFC is 9, area of ∆DFC is 7. Find the area of quadrilateral BEFD.
The area of quadrilateral BEFD is 15.32units²
How to find the area of quadrilateral BEFD?Let the area of ∆ABC be A
Let the area of ∆AFE be X
Let the area of ∆AFC be Y
Let the area of ∆DFC be Z
Using Ladder theorem:
1/A + 1/Y = 1/(X+Y) + 1/(Y+Z)
Since X = 4, Y = 9 and Z = 7, we have:
1/A + 1/9 = 1/(4+9) + 1/(9+7)
1/A + 1/9 = 1/13 + 1/16
1/A = 1/13 + 1/16 - 1/9
1/A = 53/1872
A = 1872/53
A = 35.32
area of ∆ABC = area of ∆AFE + area of ∆AFC + area of ∆DFC + area of quadrilateral BEFD
35.32 = 4 + 9 + 7 + area of quadrilateral BEFD
35.32 = 20 + area of quadrilateral BEFD
area of quadrilateral BEFD = 35.32 - 20
area of quadrilateral BEFD = 15.32unit²
Learn more about area of quadrilateral on:
brainly.com/question/22297305
#SPJ1
simplify- -126 x*2 y*7 z*3 w
the answer is 5 2 9 2
really all you have to do is multiply 126 * 2 * 7 * 3
then all that's next is to just put the letters in the order they were originally at the end of the answer
9. Isosceles trapezoid ABCD has legs AB and CD, and base BC.
If AB = 4y - 6, BC = 2y - 3, and
CD = 3y - 4.
Find the value of y. (hint: draw it to help!)
Therefore , the solution of the given question of triangle comes out to be y=2.
Defining a triangleYou can link any three points in a plane to form triangles, which have three sides and three angles. They were among of the first geometric forms to be examined. Since triangles may be divided into any polygon, regardless of whether it has four, five, six, or n sides, they are very significant.
Here,
Since it is an isosceles trapezoid the length of the two legs (i.e. AB = 4y - 6 and CD = 3y - 4) are equal. In other words,
4y - 6 = 3y - 4.
Subtract 2y from each side:
4y - 3y - 6= -4
Now add 10 to each side
=> 4y - 3y - 6 + 4
=> y - 2 =0
=> y = 2
Therefore , the solution of the given question of triangle comes out to be y=2.
To know more about triangle, visit
brainly.com/question/2773823
#SPJ1
If you have a spinner and there is 1 yellow, 2 blue, 3 red, and 4 green. What would the sample space be?
Answer: 10
Step-by-step explanation:
A sample space refers to the set of the outcomes that are possible during an experiment. It should be noted that the sample space is typically represented by using the symbol, “S”.
For example, in a random experiment that involves throwing a coin, the results is either the head or tail, therefore, the sample space is 2. In this case, the sample space will be:
= 1 Yellow + 2 blue + 3 red + 4 green
= 10
The mass of a dust particle is approximately 7.5 x 10-10 kilograms and the mass of an electron is 9.1 x 10-31 kilograms. Approximately how many electrons have the same mass as one dust particle?
Group of answer choices
1.21×1021
8.24×1021
1.21×1020
8.24×1020
Answer:
(7.5 x 10-10 kg) / (9.1 x 10-31 kg) ≅ 8.24 x 1020
Step-by-step explanation:
Divide the mass of one dust particle by the mass of one electron, and that will be your answer.
Im giving up to 60 points for this.. Mr. Dunson made a model of a skyscraper that was 10 in. high. If Mr. Dunson used the scale of 2 inches represents 12 feet, what would be the height of the actual skyscraper?
Answer:jhhhh
Step-by-step explanation:g by ggh
Answer:
I will assume that is 19 2/5 INCHES.
Step-by-step explanation:
How to do 5 choose 3 on calculator?
To do 5 choose 3 on calculator, there are many methods including typing the input the mathematical expansion or in scientific calculators according to the model, there is way to represent 5C3.
The notation 5 choose 3 (also known as "5C3" or "5 comb 3") represents the number of ways to choose 3 items from a set of 5 items, also known as the binomial coefficient. It is equivalent to the formula:
5C3 = (5!) / (3! × (5-3)!)
Where "!" denotes factorial, which is the product of all positive integers up to that number.
To calculate 5C3 on a calculator, you can use the above formula and input it as follows:
5!/(3!×(5-3)!)
Most calculators have a button for factorial (symbolized by "!" or "n!"), so you can use that to calculate the factorials in the formula.
For example, on a basic calculator, you can input the following:
5!/(3!×2!)
and then press enter or the "=" button to get the result which is 10.
On some scientific or graphing calculators the notation is different, it could be represented as "comb(5,3)" or "5C3" and you just need to enter it as such.
To know more on combination
https://brainly.com/question/14355408
#SPJ4
Type the correct answer in each box. Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27. The mean of her sales over the week is , and the median is . Reset Next
The mean of her sales over the week is 29 and the median is 27.
What is mean?The arithmetic mean, arithmetic average, or simply the mean or average, is the sum of a collection of numbers divided by the number of numbers in the collection in mathematics and statistics. The collection is frequently a collection of results from an experiment, observational research, or survey. The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean.
Here,
To find the mean you need to sum all daily sales and then divided by the number of days. If we called daily sales as xi and the number of days evaluated as N, we have that the mean can be expressed as
mean = (∑xi)/N ⇒ media = (23 + 25 + 32 + 35 + 36 + 25 + 27 )/7
⇒mean = 29.
To find the mediana you have to put the number of sales in increasing orden and then look which is the number in the middle of the serie. So
23 - 25 - 25 - 27 - 32 - 35 - 36
⇒median = 27.
Summarizing, the mean of the sales is 29 and the median 27.
To know more about mean,
https://brainly.com/question/4172942
#SPJ4
Please help me (use the image under this)
Answer:
2
1
0
1
2
Step-by-step explanation:
Fund absolute value of x to find y? absolute value is magnitude or positive distance from 0
Solve: 5|x + 9| = 80
A. x = -25 or x = 9
B. x = -25 or x = 7
C. x = -7 or x = 25
D. x = 7 or x = 16
================================================
Work Shown:
5|x+9| = 80
|x+9| = 80/5
|x+9| = 16
x+9 = 16 or x+9 = -16
x = 16-9 or x = -16-9
x = 7 or x = -25
x = -25 or x = 7
Answer:
Step-by-step explanation:
x + 9 = 80/5
x + 9 = 16
x = 16-9
x =