Answers
Answer:
x = 135
Step-by-step explanation:
the 2 situations are similar with ratios of corresponding sides in proportion , that is
[tex]\frac{x}{54}[/tex] = [tex]\frac{90}{36}[/tex] ( cross- multiply )
36x = 54 × 90 = 4860 ( divide both sides by 36 )
x = 135
Related Questions
ssdfmsfamong treatments1743 435.751.27error total5503.4615step 6 of 8: what is the variation of the individual measurements about their respective means? please round your answer to two decimal places.
Answers
The variation of the individual measurements about their respective means is 2295.04.
Given that,
The table of the treatments and total amount is
SS DF MS F
Among Treatments 4974.88 621.86 2.98
Error ?
Total 7269.92 19
We have to find how do the various measurements differ from their respective means.
We know that,
We know the formula
SSE= SSTotal -SST
= 7269.92-4974.88
=2295.04
The variation of the individual measurements about their respective means is SSE that is 2295.04
Therefore, The variation of the individual measurements about their respective means is 2295.04.
To learn more about measurements visit: https://brainly.com/question/4725561
#SPJ4
[tex]12-7\sqrt{x-5} =4[/tex] How would I solve this?
Answers
1. Move 12 to the right side.
[tex]-7\sqrt{x-5}=-8[/tex]2. Divide both sides by -7.
[tex]\frac{-7\sqrt{x-5} }{-7} =\frac{-8}{-7}[/tex]3. Simplify.
[tex]\sqrt{x-5}=\frac{8}{7}[/tex]4. Square both sides.
[tex]x-5=\frac{64}{49}[/tex]5. Solve [tex]x-5=\frac{64}{49}[/tex]
[tex]x=\frac{309}{49}[/tex]Hence, our solution.
_______________________
Hope this helps!
Find the absolute value. |4 - 5i|
Answers
The absolute value for |4 - 5i| =[tex]\sqrt{41}[/tex].
Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Look at some illustrations. 5 is the sum of its absolute values. There are 5 units between 5 and 0. A negative number has a positive absolute value, too. If x 0, then |x| = -x gives the absolute value of the supplied number.
For illustration, |-2| = 2. No matter what the numerical value's sign, the absolute value is always positive.
Here complex number form =|a+ib|
= |4-5i| Here a=4, b=(-5).
[tex]|a+ib| = \sqrt{a^{2}+b^{2} } \\\\\sqrt{4^{2}+5^{2} } \\\\\sqrt{16+25} \\\\\sqrt{41} \\[/tex]
To learn more about absolute value visit : brainly.com/question/12928519
#SPJ4
In a company, 85% of the workers are men. If 405 people work for the company who aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answers
Answer:
2700
Step-by-step explanation:
1st method:
let x be the number of all workers in the company
then, the number of female workers will be x-0.85x = 0.15x
0.15x = 405
x = 405/0.15 = 2700
2nd method
we know that the 405 people who aren't men make 15% (100%-85%) of the whole number of workers, by using proportions:
15% - 405
100% - X
X = (100% * 405 )/15% = 2700
Shawn is typing a paper for class. He can type 1 2/7 pages in 1/3 of an hour. How many pages can Shawn type in one hour? A. B. C. D.
Answers
Answer:
5 1/7 pages in one hour. And what does "A.B.C.D." Mean?
Step-by-step explanation:
Jerry bulit a table with a square top. the perimeter of the tabletop is 18 feet. He knows that the side lentgh of the table is 3, 3 1/4 4 or 4 1/2 use the equation 18 = 4s where s is the side length of the table to determine the side length explain how you found your answer
Answers
Answer:
4 1/2 ft
Step-by-step explanation:
18 = 4s
Divide both sides by 4.
18/4 = 4s/4
9/2 = s
4 1/2 = s
The side of the table is 4 1/2 ft.
How do you evaluate log8 32?
A 3/5
B 5/3
Answers
B. 5/3 is the evaluation of [tex]log_{8} 32[/tex] using the base conversion method.
using the base conversion - [tex]log_{a} p= \frac{log_{b} p}{log_{b} a}[/tex]
convert the base 8 into the base 2 algorithm
[tex]\frac{log_{2} 32}{log_{2} 8}[/tex]
since 32=[tex]2^{5}[/tex]
then, [tex]log_{2}(32)=5[/tex]
similarly, since [tex]8=2^{3}[/tex]
then, [tex]log_{2} (8)=3[/tex]
this makes our expression 5/3.
know more about base conversion:
https://brainly.com/question/2845384
Answer:
5/3
Step-by-step explanation:
The change of base formula says logb b a = [logc c a] / [logc c b].
To evaluate log8 32, you need to use the following equation: log8 32 = x, where x is the unknown value.
This can be rewritten as 8^x = 32.
Solving for x gives x = 5/3.
To learn more about Base Formula
https://brainly.com/question/14407076
5. Find the Point that divides line segment AB two-thirds of the way from A to B. - A(-3,5) B(3,-1)
Answers
Answer:
The answer is B(3, -1)
Step-by-step explanation:
I did this before.
Duncan begins to hike a trail that is at an elevation of 1000 feet. As he hikes, his elevation increases 2000 feet each hour that he hikes. Determine the y-intercept.
Answers
The y-intercept in Duncan's hike situation as described in the task content is; 1000 feet.
What is the y-intercept in Duncan's hike scenario as described?It follows from the task content that the y-intercept of Duncan's hike scenario is to be determined.
In context, the y-intercept is otherwise termed; the starting value.
According to the task content; Duncan begins to hike a trail that is at an elevation of 1000 feet.
On this note, Duncan's starting elevation is; 1000 feet and consequently, the y-intercept in this scenario is; 1000 feet.
Read more on y-intercept;
https://brainly.com/question/20776995
#SPJ1
Selena and Luis are building a model bridge out of balsa wood. To make a strong bridge, they create each post by laying out two long wooden poles horizontally, as shown in the diagram, and connecting them with smaller strips of balsa wood laid diagonally in a triangle pattern. The triangle pattern is continued down the entire length of the wooden poles.
The poles are 12 centimeters apart, and each small strip of balsa wood is 13 centimeters long.
If the two poles are each 100 centimeters long, how many small strips of balsa wood will they need to connect them?
Answers
If the two poles are each 100 centimeters long, The number of small strips of balsa wood they will need to connect them is: C. 20.
How to find the number of small strips?Using Pythagorean theorem formula to find triangle side a.
a=√b²+c²
a = √ 13² - 12²
a = √ 169 - 144
a = √ 25
a = 5
Hence, the number of small strips of balsa wood they need to connect them is:
100 / (2a)× 2
100 / ( 2×5) ×2
100/ 10 ×2
10 × 2
=20
Therefore the correct option is C.
Learn more about number of small strips here:https://brainly.com/question/16644694
#SPJ1
LOT OF POINTS!!
PLEASE NEED ANSWERS QUICKLY!!
Answers
By using the properties of angle,
The proof of ∠1 ≅ ∠3 has been given below
What is angle?
When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle
1. ∠2 ≅ ∠4 [Given]
2. m∠2= m∠4 [Angle Congruence Postulate]
3. ∠2 and ∠3 are supplementary [Given]
4. m∠2+m∠3 = 180° [Definition of Supplementary angles]
5. ∠1 and ∠4 are supplementary [Angle on a straight line]
6. m∠1+m∠4 = 180° [Definition of supplementary angles]
7. m∠1+m∠4 = m∠2+ m∠3 [ Substitution from 4 and 6]
8. m∠1+m∠4 = m∠4+m∠3 [Substitution from 2]
9. m∠1=m∠3 [Cancellation property]
10. ∠1 ≅ ∠3 [Converse of angle congruence theorem]
To learn more about angles, refer to the link-
https://brainly.com/question/25716982
#SPJ1
A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. A golf pro takes the balls to the driving range and hits the 40 new-style golf balls first and then the 40 original-style golf balls. The distance each ball travels is recorded. At the end of the session, the mean distance traveled for the new type of golf ball was found to be significantly greater than the mean distance for the original-style golf ball.
Which of the following is a valid conclusion?
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
Inferences can be made about all the golf balls produced on that day; however, a conclusion cannot be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day, and a conclusion cannot be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day; however, the conclusion can be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
answer is B got it right
Answers
A valid conclusion is that;
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
How to find the inference from the sample?An inference is defined as a conclusion that is reached based on certain pieces of evidence
In this sample research, we can see that randomization and replication conditions are met. This s because the balls are randomly selected and as such, the distance of the new ball can be compared to the distances of the original ball.
Therefore, a valid conclusion is written as;
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
Read more about sample inference at; https://brainly.com/question/15713806
#SPJ1
#35
On the real number line, what is the midpoint of
-3 and 11?
A. -5
B. 0
C. 4
D. 7
E. 14
Answers
Answer:
C. 4
Step-by-step explanation:
You want the midpoint between -3 and 11 on the number line.
MidpointThe midpoint is the average of the end point coordinates:
(-3 +11)/2 = 8/2 = 4
The midpoint is 4.
In his free time, Gary spends 9 hours per week on the Internet and 12 hours per week playing video games. If Gary has five hours of free time per day, what percent of his free time is spent on the Internet and playing video games
Answers
Answer: 11.64%
Step-by-step explanation:
consider a circle whose equation is x^2+y^2-2x-8=0. Which statements are true? select three options
Answers
The tree statements of the circle are
1) The radius of the circle is 3 units.
2) The center of the circle lies on x-axis.
3) The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is center of a circle?
A circle's center is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.
Given equation of circle is
x² + y² - 2x - 8 =0
x² - 2x + 1 - 1 + y² - 8 =0
(x - 1)² - 1 + y² - 8 =0
(x - 1)² + y² - 9 =0
(x - 1)² + y² = 3²
Compare the equation above equation with (x - h)² + (y - k)² = r²:
h = 1, k=0, r=0
The radius of the circle is 3 units. The center of the circle is (1,0) which lies on the x-axis.
Rewrite the equation of circle x² + y² = 9:
x² + y² = 3²
The radius of the circle is 3 units:
To learn more about center of circle, click on below link:
https://brainly.com/question/2233702
#SPJ1
Can you tell me the
Measure of
Answers
Answer:
please tell us what you need help with
Step-by-step explanation:
you did not include a number
Answer: what
Step-by-step explanation:
Points A, B, and C are collinear. Point B is between A and C. Find the value of x.
AC = 24
AB = 2x + 1
BC = 3x − 2
Responses
A 55
B 33
C 99
D 7
Answers
Therefore, the value of the given equation of x comes out to be x =5.
What kinds of equations are there?Equations can be classified as either identities or conditioned equations. For each amount of the variables, an identity is true. Only specific values of the variables make a conditional equation legitimate. The equality sign ("="), which separate the two expressions, is a symbol for an equation.
Here,
Given data: A, B, and C are parallel, B is located between A and C, AC equals 24, AB equals 2x+1, and BC equals 3x-2.
In the event where A, B, and C are collinear and B is positioned between A and C, we obtain
Replace the given equation with AC = 24, AB = 2x+1, and BC = 3x-2.
AB plus BC equals AC
=> AC= AB + BC
On combining like terms we get
=> 2x+1 + 3x-2 = 24
=> 5x -1 =24
=>5x =25
=>x =5
Therefore, the value of x comes out to be x =5.
To know more about equation , visit
brainly.com/question/12788590
#SPJ1
Question included in file
please help I need an answer quick
Answers
The midpoint of the line AN is (3(1/2) , -1).
What is midpoint?
The midpoint is located halfway between the two end points. Its x and y values are in the middle of the two x and y values.Add both "x" coordinates, divide by 2, and add both "y" coordinates, divide by 2 to calculate it.Midpoint of the line(x , y) = (x₁ + x₂ / 2) , (y₁ + y₂ / 2)
x₁ = 2, x₂ = 5
y₁ = -3, y₂ = 1
So,
Midpoint of the line(x , y) = (2+5/2) , ((-3)+1 / 2)
= (7/2 , -2/2)
= (7/2, -1)
We can write 7/2 as 3(1/2)
Hence, the midpoint of the line AN is (3(1/2) , -1)
To know more about midpoint check the below link:
https://brainly.com/question/5566419
#SPJ1
• Solve for x.
• Show all of your work to earn full credit.
•
Use the "mountain" icon to upload a piucture of your handwritten work.
→
-1 + 14x
12x + 17
If you do this for me you have to show me your work ;)
Answers
The value of 'x' for the given (alternate exterior angles) is found as 9.
Explain the term alternate exterior angles?The pair of angles the outside of the two parallel lines but on the opposing side of the transversal are known as alternate exterior angles.A transversal that crosses two parallel lines produces alternate exterior angles. They form two pairs (total four angles) of alternate outside angles since they are situated "outside" the pair of parallel lines but on different sides of the transversal.For the stated question.
-1 + 14x = 12x + 17 (alternate exterior angles)
Simplifying,
14x - 12x = 17 + 1
2x = 18
x = 9
Thus, the value of 'x' for the given (alternate exterior angles) is found as 9.
To know more about the alternate exterior angles, here
https://brainly.com/question/23881960
#SPJ1
Someone please answer this my question is in the picture I will give you brainliest and your getting 50 points no fraud answers.
Answers
Step-by-step explanation:
I will help you sir.
Given
Opposite Sides are Congruent
Reflexive
SSS
CPCTC
HELPP!!!
angles of a triangle
Math
help please! Thank u.
Answers
Answer:Try 81
Step-by-step explanation:
an inequality shows the Relationship between numbers
Answers
The answer to this Question is YES. Inequalities do show the relation between Numbers.
What are Inequalities?
Inequalities are the operators the we want to compare the data when equality is not valid
Solution:
The Inequalities shows nice relation between numbers like when we say for example 2 and 4 we know that 2 is not equal to 4 but we know that
2 is less than 4 in this case inequalities help us to develop relations between numbers that are not equal
Inequalities are also used in inequations where they represents large set of data .
To learn more about Inequalities:
https://brainly.com/question/28823603
#SPJ1
The trinomial x² - 14x + 49 can be expressed as
(1) (x-7)²
(2) (x + 7)²
(3) (x-7)(x + 7)
(4)) (x-7)(x + 2)
Answers
Answer:
(1)
Step-by-step explanation:
This is because (x-7)²=(x-7)(x-7), which when expanded using the FOIL method, is equal to x²-7x-7x+49=x²-14x+49.
How to turn 33.3 into a decimal and a fraction
Answers
Turn 33.3 into a fraction:
Write down 33.3 like this:
[tex]\dfrac{33.3}{1}[/tex]
Multiply the numerator and denominator by 10(since there is 1 digit after the decimal):
[tex]\dfrac{33.3\times10}{1\times10} \rightarrow\dfrac{333}{10}[/tex]
[tex]\dfrac{333}{10}[/tex] would be the fraction form of [tex]33.3[/tex].
To turn [tex]\dfrac{333}{10}[/tex] into a decimal, divide the numerator by the denominator:
[tex]333\div10=33.3[/tex]
Hope this helps!
Five More Than One Third Of A Number Is Negative 2 What Is The Number?
Answers
Answer:
n = -21
Step-by-step explanation:
Five More Than One Third Of A Number Is Negative 2 What Is The Number?
1/3n + 5 = -2
subtract 5 from both sides:
1/3n + 5 - 5 = -2 - 5
1/3n = -7
multiply both sides by 3:
3(1/3n) = 3(-7)
n = -21
chris discovered that the centers of the faces of a regular icosahedron are also the vertices of another regular polyhedron. how many edges does the other regular polyhedron have?
Answers
From the given information in question, we can sat that, The regular polyhedron have 30 edges.
What is regular polyhedron ?A polygon that is based on the solid in the three dimensions is known as a polyhedron. It has flat faces, straight edges and corners. A polyhedron is something like a cube, prism, or pyramid. Cones, spheres, and cylinders do not have polygonal sides, hence they are not polyhedra. Polyhedron is also the name of the polyhedron's plural form. They are classified as prisms, pyramids, and regular polyhedra. Polyhedra include, for instance, cubes (regular polyhedrons), square prisms, triangular prisms, square pyramids, and square pyramids. Consider the diagram below displaying different sorts of polyhedra.
chris discovered that the centers of the faces of a regular icosahedron are also the vertices of another regular polyhedron and he regular polyhedron have 30 edges.
To know more about polyhedron visit:
https://brainly.com/question/28718923
#SPJ4
Use the first five terms of the trigonometric series to approximate the value of sin 4pi/5 to four decimal places. Then
compare the approximation to the actual value.
Answers
The first five terms of the given trigonometric series are (C) 0.5884, 0.5878.
What is a trigonometric series?
A mathematical series where the sines and cosines of integral multiples of a variable angle are used to connect the components.
Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent are the six trigonometric functions.
Below is a graph of the first five terms in the trigonometric series of sin:
sinx = x - x³/3! + x⁵/5! - x⁷/7! + x⁹/9! .......
Insert x = 4π/5
sin4π/5 = 4π/5 - (4π/5)³/3! + (4π/5)⁵/5! - (4π/5)⁷/7! + (4π/5)⁹/9! .......
Upon resolution, we determine an approximate value of:
sin4π/5 = 0.5884
Find the true value now:
sin4π/5 = 0.5878
Therefore, the first five terms of the given trigonometric series are (C) 0.5884, 0.5878.
Know more about trigonometry here:
https://brainly.com/question/24349828
#SPJ1
Complete question:
Use the first five terms of the trigonometric series to approximate the value of sin to four decimal places. Then compare
the approximation to the actual value.
a. -0.9568, -0.9659
b. -0.9649, -0.9659
C. 0.5884, 0.5878
d. -0.9609, -0.9659
Use synthetic division to find the result when 2x^3-14x^2+15x-18 is divided by x-6.
Answers
The Answer:
2x^2−2x+3
The result of the expression (2x³ - 14x² + 15x - 18) ÷ (x - 6) on dividing will be (2x² - 2x + 3).
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (2x³ - 14x² + 15x - 18) ÷ (x - 6)
The factor of the expression (2x³ - 14x² + 15x - 18) is given as,
⇒ (2x³ - 14x² + 15x - 18)
⇒ 2x³ - 12x² - 2x² + 12x + 3x - 18
⇒ 2x²(x - 6) - 2x (x - 6) + 3(x - 6)
⇒ (x - 6)(2x² - 2x + 3)
Then the expression is written as,
⇒ (2x³ - 14x² + 15x - 18) ÷ (x - 6)
⇒ [(x - 6)(2x² - 2x + 3)] / (x - 6)
⇒ (2x² - 2x + 3)
The final solution of the expression (2x³ - 14x² + 15x - 18) ÷ (x - 6) on dividing will be (2x² - 2x + 3).
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
In 2014, 100 trees were planted by the people in Cherry Hill. The table below shows the number of trees planted of each type.
Trees Planted
Tree Number of Trees
Oak 45
Maple 17
Palm 28
Pine 10
Which circle graph correctly shows the information from the table?
Answers
Answer:
where is your circle graph
Step-by-step explanation:
i need the graph in order to solve this
Write the sum using summation notation. There may be multiple representations. Use i as the index of
summation.
1/3 - 1/9 + 1/27 - 1/81 + 1/243 - 1/729
Answers
The summation notation of the sum is given as follows:
[tex]\sum_{i = 1}^{6} \frac{(-1)^{i-1}}{3^i}[/tex]
How to write the summation notation?The summation notation of the sum is written considering the patterns of the terms that compose the terms.
First we look at the fact that the sum has six terms, and the first term is considered as having index 1, hence:
[tex]\sum_{i = 1}^{6}[/tex]
Then we consider that the signal is alternating, with the terms with odd indices being positive and those with even indices being negative, hence the numerator is of:
[tex](-1)^{i - 1}[/tex]
(any of -1 or +1 would work here).
Then we considering that the denominator is composed by the powers of 3, hence it is given by:
[tex]3^i[/tex]
More can be learned about summation notation at https://brainly.com/question/15973233
#SPJ1
