The triangle is rotated 90° clockwise around the point (0,0).
What will be the coordinates of the image of point L after the rotation?
Answer:
(2, 6)
Step-by-step explanation:
You can see visually that if the point (-6, 2) is rotated 90° clockwise, the resulting position will be (2, 6)
What additional information is obtained by measuring on an interval scale compared to an ordinal scale?
Answer:
Step-by-step explanation:
From the given information.
An ordinal scale measurement does not give room to know the actual difference that coexists between the two measurements in a variable but in an interval scale of measurement, it is possible to deduce the actual difference that coexists between the two measurements in a variable.
Similarly, the ordinal scale only shows the rank of observations as per size and magnitude but in case of interval scale, it consists of classes with equal size, differentiated into direction and magnitude.
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. The length of the hypotenuse is 6ft more than twice the length of the shorter leg. Find the side lengths of the triangle.
a. Find the length of the shorter side
b. Find the length of the longer side
c. Find the length of the hypotenuse
d. Find the side lengths of the triangle.
Answer: Shorter side = 10 feet
Longer side = 24 feet
Hypotenuse = 26 feet
The side lengths of the triangle are 10ft, 24ft and 26ft.
Step-by-step explanation:
Let the length of the shorter leg be x.
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. This will be: = 2x + 4
The length of the hypotenuse is 6ft more than twice the length of the shorter leg. This will be: = 2x + 6
Note that the square of the hypothenuse will be equal to the square of the other two sides. This will be:
x² + (2x + 4)² = (2x + 6)²
x² + (2x + 4)(2x + 4) = (2x + 6)(2x + 6)
x² + 4x² + 8x + 8x + 16 = 4x² + 12x + 12x + 36
x² + 4x² + 16x + 16 = 4x² + 24x + 36
5x² + 16x + 16 = 4x² + 24x + 36
Collect like terms
5x² - 4x² + 16x - 24x + 16 - 36 = 0
x² - 8x - 20 = 0
x² - 10x + 2x - 20 = 0
x(x - 10) + 2(x - 10) = 0
Therefore, x - 10 = 0
x = 10
a. length of the shorter side = 10ft
b. Length of the longer side = 2x + 4 = 2(10) + 4 = 20 + 4 = 24ft
c. length of the hypotenuse = 2x + 6 = 2(10) + 6 = 20 + 6 = 26ft
d. The side lengths of the triangle are 10ft, 24ft and 26ft.
Answer:
egg
Step-by-step explanation:
yes
The manager of a night club in Boston stated that 85% of the customers are between the ages of 21 and 27 years. If the age of customers is normally distributed with a mean of 24 years, calculate its standard deviation.
Answer:
The standard deviation of the age of the customers was of 2.08 years.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 24[/tex]
85% of the customers are between the ages of 21 and 27 years.
Since the normal distribution is symmetric, this means, for example, that 27 is the 50 + (85/2) = 92.5th percentile, that is, when [tex]X = 27[/tex], Z has a pvalue of 0.925. So when [tex]X = 27, Z = 1.44[/tex]. We use this to find [tex]\sigma[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.44 = \frac{27 - 24}{\sigma}[/tex]
[tex]1.44\sigma = 3[/tex]
[tex]\sigma = \frac{3}{1.44}[/tex]
[tex]\sigma = 2.08[/tex]
The standard deviation of the age of the customers was of 2.08 years.
I need help I'm in 5th grade
Answer:
C. 3 5/18
Step-by-step explanation:
What we know:
Joel purchased 5 7/9 lb of grapes, while Jim purchased 2 1/2 lb.
What we need to find out:
How many more pounds of grapes does Joel have than Jim.
What we need to do:
Subtract 2 1/2 from 5 7/9.
But first, we need a common denominator.
2 and 9 don't have any common factors so multiply normally.
2 * 9 = 18
5 7/9 becomes 5 14/18, and 2 1/2 becomes 2 9/18.
Now to subtract.
(5 - 2) + ((14-9)/18)
3 + ((14-9)/18
3 + 5/18
Joel has 3 5/18 more pounds of grapes than Jim, so the answer is C.
Answer:
C
Step-by-step explanation:
5 7/9 - 2 1/2 = 5 14/18 - 2 9/18 = 3 5/18
A band expects to put 12 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 80% of the songs are removed. How many songs will there be on the final CD?
Answer:
3 songs
Step-by-step explanation:
25% more songs: 12 x 1.25 = 15
80% removed: 15 x 0.2 = 3
How many times greater is the value of the 3 in 230,716 than the value of the 3 in 23,716?
Answer:30000
Step-by-step explanation:
Because it is not in the thousand place again it is in the tens of thousand place so the numbers at the back just make them zero
Find the x intercept
Brayden has 342 marbles in bags. If there are 9 marbles in each bag, how many bags of marbles does Brayden have If Brayden gives away 15 of his bags of marbles, how many bags does he have left
Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?
A:0.72$
B:0.75$
C:0.89$
D:1.72$
Answer:
A. 0.72
Step-by-step explanation:
We take the amount spent on the necklaces and divide that by the amount she bought. So that would be $11.52/8. When we divide this, we get 1.44, and since this is not an option, I went and divided it by the two friends to get 0.72. So I believe A. would be the answer.
The cost for each necklace is given as $0.72.
How to calculate the cost per item?In order to calculate the cost of one item, divide the total cost of items by the total number of items.
It is also called the unit rate of that item.
Total money spent on 8 neckless is $11.52.
The number of friends Rosa has 2.
Then, total number of necklaces is 8 × 2 = 16
Now, the cost of each necklace can be calculated as,
Total cost of necklace ÷ Number of necklace
= $11.52 ÷ 16
= $0.72
Hence, the cost of each necklace for each of the friends is $0.72.
To know more about cost per item click on,
https://brainly.com/question/20489295
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Three triangles are shown.
The measure of the exterior angle shown is represented by x in each triangle. Which of the following represents the correct order of the triangles from least to greatest, if the order is based on x?
R S T
T R S
T S R
S R T
Answer:
it dont show the pic btw
Step-by-step explanation:
Which statement describes a unit rate?
A.
Joan played 1 game.
B.
Joan wrote 6 letters and 2 postcards.
C.
Joan threw the ball at 40 miles per hour.
D.
Joan has 3 candy bars and 1 pack of gum.
Answer:
c
Step-by-step explanation:
pls look at this picture and answer
Answer:
625
Step-by-step explanation:
which shapes go with which name?
Answer:
Can someone please help me on my last question
Sorry bro I’m desperate
Step-by-step explanation:
Answer:
first one a square , secound a rectangle , third a quadrilateral, fourth a rhombus, fifth is p
Step-by-step explanation:
Which statement describes how to determine if a relation given in a table is a function?
If none of the output values are repeated, the relation is a function.
If none of the input values are repeated, the relation is a function.
If any of the input values are equal to the output values, the relation is a function.
If all the output values are paired with the same input value, the relation is a function.
Answer:
If none of the input values are repeated, the relation is a function.
Step-by-step explanation:
When all outputs have a different input, its a function.
Answer:
B
Step-by-step explanation:
Did it on edge 100%
Which of the following represents 24 = 4 × 6?
A.
4 is 6 times as many as 24
B.
24 is 4 times as many as 6
C.
24 is 2 times as many as 12
D.
6 is 4 times as many as 24
Answer:
4 is 6 times as many as 24
Step-by-step explanation:
If eight balls can be purchased for $48, what is the unit rate?
Answer:
I think the unit rate is 6$
i divided 48 by 8 and got 6
Write the following number as an improper fraction:
-12 2/3
-38/ 3
Step-by-step explanation:
hope it helps!
....
helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
Answer:
y + 6 = 3/5(x - 4)
Step-by-step explanation:
Point-slope is the general form y-y₁=m(x-x₁)
y1 = -6, x1 = 4
y - (-6) -> y +6
y +6 = 3/5(x - 4)
The school population for a certain school is predicted to increase by 80 students per year for the next 14 years. If the current enrollment is 800 students, what will the enrollment be after 14 years?
Answer: If im not wrong it should be 1920
Step-by-step explanation:
2 hr 47 min 50 s
+ 3 hr 34 min 45 s
Answer:
6 hours, 21 min, 35 sec
Step-by-step explanation:
hours: 2+3=5 hours
minutes: 47+34= 81 minutes= 80-60(one hour)=20 min leftover
seconds: 50+45=95 sec= 95-60(one min)= 35 sec leftover
6 hours, 21 min, 35 sec
Someone help me with this please
2(3u-8)= 38
6u-16=38
take 16 on the other side..
6u = 38 +16
6u = 54
u = 9
Answer:
u=9
Step-by-step explanation:
Divide both sides by 2
3u-8=19
Add 8 to both sides
3u=27
divide both sides by 3
u=9
Harper and Sadie collected 282 pieces of garbage from the park. Sadie collected twice as many pieces of garbage as Harper. Enter the number of pieces of garbage that Sadie collected.
Answer:
141
Step-by-step explanation:
282 devided by 2=141
141*2=282
Step-by-step explanation:
sorry I don't know this answer please please please please please please please please please please please please please please please please please please please please
Help me! I’ll mark you brainly!
Use FOIL to expand and simplify:
Anthony's Locker:
A = (x + 4)(x + 2)
= x^2 + 2x + 4x + 8
= x^2 + 6x + 8 ft^2 (H)
Anthony's Math Book:
A = (x + 6)(x - 3)
= x^2 - 3x + 6x - 18
= x^2 + 3x - 18 in^2 (V)
Anthony's Lunch Box:
A = (x - 9)(x - 2)
= x^2 - 2x - 9x + 18
= x^2 - 11x + 18 in^2 (L)
Anthony's Desk:
A = (x - 5)(x + 2)
= x^2 + 2x - 5x - 10
= x^2 - 3x - 10 ft^2 (M)
Answer: What did he sayyyy
Step-by-step explanation:
I do not know hahaha
The radius of a circle is 11.4 find the circumference to the nearest tenth
Answer:
71.6
Step-by-step explanation:
c= 2(pi)r
c= 2(3.14)(11.4)
c=71.592
c= 71.6
on 20 of 22 Which equation describes the line with slope 8 that contains the point (-3, -6)? O A. y + 3 = 8(x+6) O B. y-3 = 8(x-6) c. y - 6 = 8(x-3) O D. y + 6 = 8(x + 3)¹
Answer:
Hi, I just wanted to say that I got this question a few days ago on my test!
I haven't gotten my grade yet and I dont know if I got it right but I hope you figure it out! Best of luck to you!
The equation of a line in point slope form is :
Y - y1 = m(x -x1)
M is the slope given as 8
Y1 and x1 are the x and y values of the given point:
Y - (-6) = 8(x - (-3))
Rewrite as:
Y + 6 = 8(x + 3)
The answer is D
Do you know this please
Answer:
the fraction is 70/100 and the decimal is 0.70 and the percent is 70%
Step-by-step explanation:
because the thing is showing 7 lines filled in so you count by tens til you get 70 out of 100
Answer:
the fraction is seventy over humdred
Solve the system of equations
Answer:
x = -2 and y = -21
Step-by-step explanation:
Given equations are :
[tex]y=15x+9\ .....(1)\\\\y=\dfrac{x}{2}-20\ ....(2)[/tex]
From equation (1) and (2)
[tex]15x+9=\dfrac{x}{2}-20\\\\15x-\dfrac{x}{2}=-20-9\\\\\dfrac{29x}{2}=-29\\\\x=-2[/tex]
Put the value of x in equation (1)
y = 15(-2) + 9
= -30 + 9
y = -21
So, the solution of the equations are (-2,-21).
A group of students shared 4 jars of paint equally. If each student got 1 3 of a jar of paint, how many students were in the group? Explain.
There is/are _______ student(s) in the group, because there is/are _______ one-third part(s) in 4 whole jars.
Answer:
12 people in the group.
Step-by-step explanation:
1 jar of paint = 3 people
Factor 343x^12 – 125y^27
Answer:
(7x - 3) • (49x2 + 21x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
73x3 - 27
STEP
2
:
Trying to factor as a Difference of Cubes:
2.1 Factoring: 343x3-27
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0-b3 =
a3-b3
Check : 343 is the cube of 7
Check : 27 is the cube of 3
Check : x3 is the cube of x1
Factorization is :
(7x - 3) • (49x2 + 21x + 9)
Trying to factor by splitting the middle term
2.2 Factoring 49x2 + 21x + 9
The first term is, 49x2 its coefficient is 49 .
The middle term is, +21x its coefficient is 21 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 49 • 9 = 441
Step-2 : Find two factors of 441 whose sum equals the coefficient of the middle term, which is 21 .
-441 + -1 = -442
-147 + -3 = -150
-63 + -7 = -70
-49 + -9 = -58
-21 + -21 = -42
-9 + -49 = -58
For tidiness, printing of 12 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored