Answer:
WZ = 16mm
Step-by-step explanation:
Given triangles are similar and isosceles if the length of PS is 8 mm then the length of WZ must be = 16 because the length of YW is twice of the length of RP
Answer:
The measure of WZ is 16 mm.Step-by-step explanation:
We know that:
2(PR + RS + SP) = WY + YZ + WZPR = 5 mm∠P = 37°∠S = 37°PS = 8 mmRS = 5 mmΔPRS is an isosceles triangle∠W = 37° ∠Z = 37°WY = 10 mmYZ = 10 mmΔWYZ is an isosceles triangleWe know that both triangles are isosceles because both of them have same angles on the base. Now, let's solve 2(PR + RS + SP) = WY + YZ + WZ.
2(PR + RS + SP) = WY + YZ + WZ=> 2(5 + 5 + 8) = 10 + 10 + WZ [Inserting values]=> 2(18) = 20 + WZ=> 36 = 20 + WZ=> 36 - 20 = WZ=> 16 mm = WZHence, the measure of WZ is 16 mm.
Which value for x makes the sentence true?
Answer:
x=2
Step-by-step explanation:
1/16 x 2=1/8
X=2
Hope this helps
also if u click the crown it marks brainliest but you can only do it when two people answer.
I just wanted to say that just incase u didnt know because I didnt know lol
And the number 6,497.4, the four next to the six is worth ___ times the other four.
A) 10
B) 100
C) 1,000
D) 10,000
The answer is : C
The answer is C because the four next to the six is three places to the left of the other four, its 1,000 times the other four
The ratio of hotdogs sold to hamburgers sold was 10:7.
If 120 hotdogs were sold, how many hamburgers were sold?
Answer:84
Step-by-step explanation:
Answer:
84 hamburgers were sold
What is the value of pi?
Answer:
3.141592653589793
Step-by-step explanation:
Normally, you only need to memorize the digits up to 3.1415926. Of course, there are more digits of pi, but you don't need to know that much digits of pi.
Answer:
3.14159265359
Step-by-step explanation:
Triangle GHI is dilated to form new triangle JKL. If angle H is congruent to angle K, what other information would prove that the two triangles are similar by the capital AA similarities postulate?
Answer: Angle I is congruent to angle L
Step-by-step explanation:
Did da test
To prove ΔGHI and ΔJKL are similar following statements must be true,
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒\(\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}\)\(\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}\)
What are similar triangles?"Two or more triangles are similar if and only if the corresponding angle measures same and their corresponding side lengths are in proportion.."
What is dilation?"It is a geometric transformation where there is a change in the size of an object without changing its shape.""The size of the object changes on the basis scale factor."For given example,
ΔGHI is dilated to form new ΔJKL.
Also, angle H is congruent to angle K.
To prove ΔGHI and ΔJKL are similar.
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒\(\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}\)
Therefore, to prove ΔGHI and ΔJKL are similar following statements must be true,
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒\(\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}\)
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IL COSL al we creeree viall
8. In 2010, Anthony worked 1,697 hours in a year. The next year, Anthony worked 22.8% more
than in 2010. How much did he work in the next year?
Answer:
In the next year, Anthony worked 2,084 hours
Step-by-step explanation:
Anthony worked 1,697 hours in 2010.
We also know Anthony worked 22.8% more hours than in 2010.
The problem requires to calculate how much did Anthony work in the next year.
It can be calculated as follows:
Take 22.8% of 1,697:
\(22.8 * 1,697 / 100 = 386.916\approx 387\ hours\)
Now calculate by adding it to the original number of hours:
1,697 + 387 = 2,084 hours
In the next year, Anthony worked 2,084 hours
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
Given the polynomial expression 3x2 + 3bx - 6x - 6b, factor completely.
(3x-6)(x - b)
(x-2)(x + b)
3(x-2)(x + b)
3(x + 2)(x + b)
The factors of the given polynomial is 3(x-2)(x+b). Therefore, option C is the correct answer.
The given polynomial expression is 3x² + 3bx - 6x - 6b.
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
The factors of given polynomial can be find using grouping method, that is
(3x² + 3bx) - 6x - 6b
=3x(x+b)-6(x+b)
=(x+b)(3x-6)
=3(x-2)(x+b)
The factors of the given polynomial is 3(x-2)(x+b). Therefore, option C is the correct answer.
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Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”
The coordinates of the final point after the reflections across the x-axis twice is (6, -4)
What are the coordinates of the final point?Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.
So reflecting (6,-4) across the x-axis gives us the point (6,4).
Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.
So reflecting (6,4) across the x-axis gives us the point (6,-4).
Therefore, the final point after both reflections is (6, -4).
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• 5. A certain type of bacteria, given a favorable growth medium, doubles
in population every 4 hours. Given that there were approximately 100
bacteria to start with, how many bacteria will there be in a day and a
half?
Answer:
51,200
Step-by-step explanation:
a day and a half = 36 hours
36/4 = 9
There are 9 doubling periods
how many bacteria will there be in a day and a half?
100 * 2^9
100 * 512
51200
What are two expressions that are equivalent to the expression 5(6j + 3 + j)
Answer:
5(7j+3) AND 35j +15 are both equal to the expression 5(6j + 3 + j)
Computer systems analysts
Database administrators
Computer software engineers,
systems software
Gaming and sports book writers
and runners
Environmental science and
protection technicians, including
health
Manicurists and pedicurists
Physical therapists
Physician assistants
504
650
119 154
350 449
18 24
36
78
47
100
220
29.0
28.6
28.2
28.0
28.0
27,6
27.1
146
34
99
5
10
22
47
18
Bachelor's degree
Bachelor's degree
Bachelor's degree
Short-term on-thi
Associate degree
Postsecondary vocational award
Master's degree
Master's degree
173
66
83
27.0
Based on the above table, what is the fastest growing listed occupation for those without a college degree?
a. Gaming and sports book writers and runners
b. Dental assistants
c. Marriage and family therapists
d. Manicurists and pedicurists
Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.
Therefore option A is correct.
What is a college degree?The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.
With reference to the table, the occupations that do not require a college degree are:
Gaming and sports book writers and runnersEnvironmental science and protection technicians, including healthManicurists and pedicuristsWe were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.
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is 700% of 5 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
Great than 10, but less than 100
Step-by-step explanation:
Make 700% a decimal by dividing by 100
700/100 = 7
7 = 5 = 35
700% of 5 is 35.
Answer:Greater than 10 but less than 100
Step-by-step explanation
700% of 5 = 35
35 is greater than 10
but less than 100
hope this helps
Use implicit differentiation to find dy/dx and d^2y/dx^2.
Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.
Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.
Given the equation x² + xy + y² = 5,
we can differentiate both sides with respect to x using the chain rule as follows:
2x + (x(dy/dx) + y) + 2y(dy/dx) = 0
Simplifying this equation yields:
(x + 2y)dy/dx = -(2x + y)
Hence, dy/dx = -(2x + y)/(x + 2y)
Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.
That is:
d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))
= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))
Simplifying this equation yields:
d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³
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The graph shows a function of the form () = ab
.
Use the drop-down menus to complete the statements about the function, and then write an equation that represents this function.
Answer:
When \(x=0\), the value of f(x) is 1.
Each time x increases by 1, f(x) is multiplied by 4.
Equation of function: \(f(x)=1\cdot 4^x\)
Step-by-step explanation:
The detailed explanation is attached below.
A tent in the shape of a triangular prism is made using the following piece of fabric. Find the surface area of the fabric. Show your work!
Answer
Answer:
Surface area = 85.84 ft²
Step-by-step explanation:
Considering the fact that large rectangle area = 6 x 12 = 72 ft²
Also, the two triangles area => 2(0.5 * base * height) = 2(4 x 3.46 x 0.5) = 13.84 ft²
Hence, the total surface area is
72 + 13.84 = 85.84 ft²
Therefore, the surface area of the fabric is 85.84ft²
Answer:
Step-by-step explanation:
other guy or girl is right!
In Mr. Romeo's class, a student must work on i-Ready for at least 4 hours per month to receive a grade of 100. Last month Sophia received a math grade of 100. Which inequality represents the number of hours Sophia spent working on i-Ready last month, where h represents the number of hours? (PLEASE HELP MEE!! GIVING 10 POINTS!)
A. h≥4
B. h>100
C. h≤100
D. h<4
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
Option A is the correct answer.
We have,
The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.
Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.
And,
The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.
Therefore,
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
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If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?
Step-by-step explanation:
Given: Radius , r =21 cm
The angle at the center of the circle, n° =140°
Length of an arc =?
W.K.T Formula, Length of an arc = 2πr( n°÷360°) units
= 2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Answer:
2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Step-by-step explanation:
The graph below shows triangle A and triangle B. The side lengths of triangle A are proportional to the side lengths of triangle B, and the corresponding angle measures of the two triangles are equal. image b63beb85ff8941fb976339f638c35c47 Which statement BEST describes the relationship between triangle A and triangle B? A The triangles are similar but not congruent. B The triangles are congruent but not similar. C The triangles are both similar and congruent. D The triangles are neither similar nor congruent.
Answer:A.The triangles are similar but not congruent
Step-by-step explanation:
In a congruent traingle:
the both triangles are same in shape and size
There are five theorems to see if the triangles are congruent
and neither particularly applies here
sss: the sides are not equal
as none of the sides are equal, then despite the angles, congruence is not possible
However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.
Step-by-step explanation:
which of the following is most likely the next step in the series
Answer:
A.
Step-by-step explanation:
Let's think of this as a clock. We can see that the 2 lines start in the same place, around 3 o'clock. Next, one of the line segments shifts down to around 6 o'clock. Next, it shifts to about 9 o'clock. Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.
We can also just use a regular circle, with one of the line segments moving 90 degrees each time.
Hope this helps! :)
What is the surface area of the image below I’ll give b brainliest
Answer:
50(5π + 6) cm²
Step-by-step explanation:
TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle
= 1/2 of 2πr(h+r) + 20*15
= πr(h+r) + 300
= 10π(15+10) + 300
= 250π + 300 cm²
or 50(5π + 6) cm²
c) A human resource analyst wants to know if the applicants this year score, on average, higher on their placement exam than the 52.5 points the candidates averaged last year. She samples 50 recent tests and finds the average to be 54.1 points. She fails to reject the null hypothesis that the mean is 52.5 points. At the end of the year, they find that the candidates this year had a mean of 55.3 points. Choose the correct answer below. A. The analyst did not make an error. The actual value was 55.3 points, which is close to 52.5. B. The analyst made a Type I error. The actual value was 55.3 points, which is greater than 52.5. C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5. D. The analyst made a Type II error. The actual value was 55.3 points, which is close to 52.5. E. The analyst made a Type I error. The actual value was 55.3 points, which is close to 52.5.
Answer:
Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
Step-by-step explanation:
Answer:
Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
Step-by-step explanation:
The null hypothesis was the applicants last year score, on average was 52.5 points.
Conclusion: She fails to reject the null hypothesis that the mean is 52.5 points.
At the end of the year, they find that the candidates this year had a mean of 55.3 points.
A type II error occurs when the researcher fails to reject the null hypothesis when it is false. Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
An investor decides to invest some cash in an account paying 14 % annual interest, and to put the rest in a stock fund that ends up earning 11 % over the course of a
year. The investor puts $700 more in the first account than in the stock fund, and at the end of the year finds the total interest from the two investments was $1490.
How much money was invested at each of the two rates?
Answer:
WILL GIVE BRAINLIEST 60 POINTS Given that figure ABCD is a dilation of figure KLMN, find the missing values:
(Note that values are slightly different
Answer: The investment that was put in the account is 6268 at 14%, while the amount that is invested in the stock is 5568 at 11%.
Step-by-step explanation:
Let the amount that is put into the account is x, while the amount that is invested in the stock market is y. Given the investor puts $700 more in the first account than in the stock fund, therefore, the equation can be written as,
x-y=700
x=700+y
Also, at the end of the year the total interest from the two investments was $1490. Therefore, we can write,
.14x+.11y=1490
Substitute the value of x from the above,
.14(700+y)+.11y=1490
y=5568
substitute the value of y in the first equation,
x-5568=700
x=6268
The investment that was put in the account is 6268 at 14%, while the amount that is invested in the stock is 5568 at 11%.
34,02 - (-38,3)=
what is the anwer?
to subtract a negative number from a positive is no different than adding 2 positives together.
The way i remember this is by looking at "-(-" and kind of squinting. If you squint hard enough, it kind of looks like a distorted +.
To solve this, just add them as if they were too positives.
Elwin Osbourne, CIO at GFS, Inc., is studying employee use of GFS e-mail for non-business communications. A random sample of 200 e-mail messages was selected. Thirty of the messages were not business related. The 90% confidence interval for the population proportion is _________.
Answer:
The 90% confidence interval for the population proportion is
(0.10872, 0.19128)
Step-by-step explanation:
Explanation:-
Step(i):-
Given data A random sample of 200 e-mail messages was selected. Thirty of the messages were not business related
Given random sample size 'n' = 200
Given Thirty of the messages were not business related
let 'x' = 30
Probability of the messages were not business related or proportion
\(p = \frac{x}{n} = \frac{30}{200} = 0.15\)
Step(ii):-
The 90% confidence interval for the population proportion is
\((p - Z_{0.10} \sqrt{\frac{p(1-p)}{n} } , p + Z_{0.10} \sqrt{\frac{p(1-p)}{n} } )\)
Level of significance ∝ = 0.90 or 0.10
The critical value Z₀.₁₀ = 1.645
The 90% confidence interval for the population proportion is
\(( 0.15-1.645 \sqrt{\frac{0.15(1-0.15)}{200} } , 0.15 +1.645 \sqrt{\frac{0.15(1-0.15)}{200} } )\)
on calculation, we get
(0.15 - 0.04128 , (0.15 + 0.04128)
(0.10872, 0.19128)
Conclusion:-
The 90% confidence interval for the population proportion is
(0.10872, 0.19128)
Write the other side of this equation so it's true for all values of x:
1/2(6x - 10) - x =
write the other side of this equation so it's true for no values of x:
1/2(6x - 10) - x =
The other side of this equation so it's true for all values of x: 1/2(6x - 10) - x = 2x - 5, and the other side of this equation so it's true for no values of x: 1/2(6x - 10) - x = 2x-5 = 2x+3.
How do equations work?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
Given that, find the other side of this equation so it's true for all values of x:
1/2(6x - 10) - x
= 6x/2 - 10/2 -x
= 3x-5-2
= 2x-5
Now for, equation so it's true for no values of x:
1/2(6x - 10) - x =
Distribute the parentheses:
1/2(6x - 10) - x =
= 3x -5 -x
= 2x -5
We need to other side to be of the form 2x - constant where the constant is not equal to 5.
2x-5 = 2x+3
Subtract 2x from each side.
-5 =3
This is not true so there is no solution.
Hence, the other side of this equation so it's true for all values of x: 1/2(6x - 10) - x = 2x - 5, and the other side of this equation so it's true for no values of x: 1/2(6x - 10) - x = 2x-5 = 2x+3.
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What is the slope of the line?
PLS ANSWER ASAP PLEASE PLEASE THIS QUESTION IS WORTH ABOUT 30 POINTS PLS ANSWER
Metro recycling recycles an average of 9400 lb of material everyday. based on the graph find the following for an average day
How many lb of paper are recycled
How many more pounds of glass than plastic are recycled
What percent of the recycled material is in the “other” category
Step-by-step explanation:
paper = 9400x .41 = 3854 lbs
glass 9400 x .17 = 1598 lbs
plastic 9400 x .09 = 846 lbs
1598 - 846 = 752 more pounds of glass than plastic
add 41+17+9+26= 93.
leaving 7% in other
4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.
Answer:
y = 1.5x +14
Im pretty sure this is right but i am so sorry if this is wrong
Blake needs a wooden dowel that is 2 1/6 feet
long. How much should he cut off the dowel
shown below?
-5 1/4 ft
Blake needs a wooden dowel that is 2 1/6 feet long. Blake needs to cut off 7.4167 feet from the dowel.
What are arithmatic operations?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
To find out how much Blake should cut off the dowel, we need to subtract the length of the dowel from the required length.
The length of the dowel is -5 1/4 feet, which can be written as -5.25 feet.
The required length is 2 1/6 feet, which can be written as 2.1667 feet (rounded to four decimal places).
To find out how much needs to be cut off, we can subtract the length of the dowel from the required length:
2.1667 ft - (-5.25 ft) = 7.4167 ft
Therefore, Blake needs to cut off 7.4167 feet from the dowel.
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