Answer:
(0,8)
Step-by-step explanation:
-7x+4y=32
-10x-4y=-32
-17x=0
x=0
-5×0-2y=-16
y=8
(0,8)
What is the standard form of an equation with p = 3/2 and phi=300 degrees?
A. x-sqrt3y-3=0
B. sqrt3x-y-3=0
C. x+sqrt3y-3-0
D. sqrt3x + y + 3=0
The standard form of an equation with p = 3/2 and phi=300 degrees is; x(√3) + y - 3 = 0
What is the Standard form of the equation?
The standard form of this type pf equation has the general format as;
x(cos Ф) + y(sin Ф) = p
where;
p is perpendicular distance from origin
Ф is the angle between perpendicular and the positive x-axis.
Now, we are given;
p = 3/2
Ф = 30°
Thus, the equation of these given values will be expressed as;
x(cos 30) + y(sin 30) = 3/2
We know, that;
cos 30 = (√3)/2
sin 30 = 1/2
Thus, we have;
x((√3)/2) + y(1/2) = 3/2
Multiply through by 2 to get;
x(√3) + y = 3
⇒ x(√3) + y - 3 = 0
Read more about Standard form of Equation at; https://brainly.com/question/11600179
#SPJ1
Point M is on line segment LN. Given LN=4x, MN= x, and LM=3, determine the numerical length of LN.
Answer:
LN = 4 units
Step-by-step explanation:
Since M is on LN , then
LN = LM + MN , that is
4x = 3 + x ( subtract x from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Then
LN = 3 + x = 3 + 1 = 4
The required length of the line LN = 4.
Given that,
Point M is on the line segment LN. Given LN=4x, MN= x, and LM=3, to determine the numerical length of LN.
The line is a curve showing the shortest distance between 2 points.
LN = LM + MN
4x = 3 + x
4x - x = 3
3x = 3
x = 3 / 3
x = 1
Length of LN
LN = 4x
= 4 * (1)
= 4
Thus the required length of the line LN = 4.
Learn more about lines here:
brainly.com/question/2696693
#SPJ5
A roadside assistance company gets millions of requests per year, with about a quarter of the requests in
summer and a quarter in winter. Suppose that 12% of all of the summer requests and 15% of the winter
requests are for help with a lockout. A data analyst pulls separate random samples of 200 summer and winter
requests and will look at the difference (summer winter) between the proportion of requests for help with
a lockout in each sample.
What are the mean and standard deviation of the sampling distribution of the difference in sample
proportions?
Answer: -0.03
sqrt ((0.12 (0.88) / 200) + (0.15)(0.85)/200)
Step-by-step explanation:
The mean of the sampling distribution of the difference in sample proportions is -0.03, and the standard deviation is 0.0321.
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
The proportion of lockout help requests in the summer population is 12% or 0.12, and the proportion in the winter population is 15% or 0.15. The sample sizes are both 200.
Using these values, we can calculate the mean and standard deviation of the sampling distribution of the difference in sample proportions:
Mean = p₁ - p₂ = 0.12 - 0.15 = -0.03
Standard deviation = √[ (p₁ (1 - p₁) / n₁) + (p₂ (1 - p₂) / n₂) ]
= √[ (0.12 (1 - 0.12) / 200) + (0.15 (1 - 0.15) / 200) ]
= √[ (0.000504) + (0.000525) ]
= √[ 0.001029 ]
= 0.0321
Therefore, the mean of the sampling distribution of the difference in sample proportions is -0.03, and the standard deviation is 0.0321.
Learn more about the standard deviation here:
brainly.com/question/16555520
#SPJ2
Which is greater 3/5 or 7/10
Answer:
7/10
Step-by-step explanation:
Use the butterfly method:
3/5 7/10
multiply the denominator and numerator to each other sides:
3 * 10 = 30
5 * 7 = 35
35 > 30
35 belongs to 7/10 so:
7/10 is greater
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
697.5 ft squared
Step-by-step explanation:
Divide into top two squares and rectangle on bottom so...
(10×7.5)+(8×7.5)×(12.5×45)=area
75+60+562.5=697.5 ft squared
4
Brad goes to bed at 21 25.
He is in bed until 0708 the next day.
Work out the length of time that Brad is in bed.
Answer:
Step-by-step explanation:
Part B
You will now perform the construction of a tangent to a circle using modern tools.
Open GeoGebra C, and complete each step below. If you need help, follow these
instructions for using GeoGebra.
1. Create a circle with a center at point A with a radius of your choice.
2. Now create a point outside of circle A, and label it point B. Draw a line segment
connecting points A and B. Find the midpoint of line segment AB, and label it
point C.
3. Using point C as the center, create a circle that passes through point A.
4. Circle A and circle C intersect at two points. Find these intersection points, and
label them points D and E.
5. Draw rays from point B through point D and from point B through point E. Also
draw line segments connecting points A and D and points A andis.
Take a screenshot of your image, save it, and insert the image in the space provided
Answer:
This is what I put ! I got an A! (Although the extra rays I don't think are needed)
Step-by-step explanation:
The figure is attached below
What is Tangent?In geometry, the tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point. A tangent of a circle is defined as a straight line that touches or intersects the circle at only one point. A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it.How to solve this problem?The steps are as follow:
Create a circle with a center at point A with a radius of your choice.Now create a point outside of circle A, and label it point B. Draw a line segment connecting points A and B. Find the midpoint of line segment AB, and label it point C.Using point C as the center, create a circle that passes through point A.Circle A and circle C intersect at two points. Find these intersection points, and label them points D and E.Draw rays from point B through point D and from point B through point E. Also draw line segments connecting points A and D and points A andis.From the above steps we have drawn the figure which is attached below
Learn more about tangent here:
https://brainly.com/question/4470346
#SPJ2
3x+5y=30 complete the table of values
Answer:
O
Step-by-step explanation:
7 1/3 ÷ 4
Please help
Answer:
1.833333333
Step-by-step explanation:
7⅓ ÷ 4
=¹¹/6
= 1.833333333
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
The statements about the new rectangle are true are:
The dimensions of the new rectangle will be 10 cm by 12 cm.
The new area will be 16 times the original area.
Here, we have,
given that,
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4.
area = 7.5 cm^2
now, we get,
the new dimensions of the new rectangle will be:
width = 4 * 2.5 cm = 10cm
length = 4* 3 cm = 12cm
so, area = 120 cm^2
so, we get,
statements about the new rectangle are true are:
The dimensions of the new rectangle will be 10 cm by 12 cm.
The new area will be 16 times the original area.
To learn more on rectangle click:
brainly.com/question/29123947
#SPJ1
round off all answer in to two decimal places A=p(1+in) Steven won a portion of the local lottery.the price money is to the value of R18000.he wants to invest the money but does not know which bank to choose. FNB offers Steven 5,6/% for 8 years simple interest per annum, Nedbank offers Steven 6,6% for 6 years simple interest per annum and standard bank offers 7,2% for 5 years simple interest determine each bank future value to help Steven decide which bank he should choose FNB NEDBANK STANDARD BANK
Answer:
FNB bank
Step-by-step explanation:
FNB = 18000 * 0.056* 8 = 8064
Nedbank = 18000*0.066* 6 = 7128
Standard = 18000*0.072*5=6480
FNB is the best choice for Steven
85.82 rounded to the hundredths place
Answer:
85.80
Step-by-step explanation:
85.82 is closet to 85.80 snice 2 is a low number
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
24 square kilometers
Step-by-step explanation:
Well, this is a trapezoid. The formula for the area of a trapezoid is 1/2 the height times base one plus base two. In other words, 1/2 h x (base 1 + base 2)
So in this case, the two bases are 4 and 12. So we would add the two bases to get 16. Now, we have to half the height. 3 divided by 1/2 is 1.5. So we then do the last step which is multiplying the height by the two bases. So in other words, 1.5 times 16. And 1.5 times 16 is 24. Therefore, the answer is 24 sqaure kilometers.
Answer:
Step-by-step explanation:
Mark scored 21 points for the home team in a baseball game. His teammates as a group scored p points. Write an equation to represent this situation. Plz help
The following data show the average retirement ages for a random sample of workers in the United States and a random sample of workers in Japan. Perform a hypothesis test using α = 0.05 to determine if the average retirement age in Japan is different from the United States. Calculate the test-statistics (round to 3 decimals - report the absolute value).
Answer:
[tex]t \approx 2.639[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccc}{} & {USA\ 1} & {Japan\ 2} & {\bar x} & {64.6} & {67.5} &{n} & {30} & {30} & {\sigma} & {4.0} & {4.5} \ \end{array}[/tex]
See attachment for data
Required
Determine the test statistic
The test statistic is calculated using:
[tex]t = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}}[/tex]
So, we have:
[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{4.0^2}{30} + \frac{4.5^2}{30}}}[/tex]
[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00}{30} + \frac{20.25}{30}}}[/tex]
[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00+20.25}{30}}}[/tex]
[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{36.25}{30}}}[/tex]
[tex]t = \frac{-2.9}{\sqrt{1.2083}}[/tex]
[tex]t = \frac{-2.9}{1.099}[/tex]
[tex]t \approx -2.639[/tex]
The absolute value is:
[tex]t \approx 2.639[/tex]
giving brainliest!! easy*
Answer:
1584mm^2
Step-by-step explanation:
20 x20 = 400 and there are 3 of them
400+400+400 = 1200
1/2(16x24 ) =192 and there are 2 of them
192+192 = 384
1200+384
Answer:
1408
Step-by-step explanation:
20·16+24·16+20·16+12·﹣204+2·(20·24)2+2·(20·20)2﹣244+2·(24·20)2﹣204=1408
if i did something wrong please let me know
(i might have done it wrong, please use the answer above which would be 1584mm^2)
Which sign makes this number sentence true?
|866| __ |-866|
A. >
B. <
C. =
D. +
Answer:
>
Step-by-step explanation:
Answer:
c for me
Step-by-step explanation:
hope that helps you
I need someone to write me a narrative on how to solve this problem please!
How high is the end of the ladder against a building
John used AABC to write a proof of the Centroid Theorem. He began by drawing medians AK and CL,
intersecting at Z. Next he drew midsegments LM and NP, both parallel to median AK.
Given: AABC with medians AK and CL, and midsegments LM and NP.
2
Prove: Z is located of the distance from each vertex of AABC to the midpoint of the opposite side.
3
Answer:
Hello your question is poorly written attached below is the complete question
answer : attached below
Step-by-step explanation:
To Prove: Z is located 2/3 of the distance from each vertex of ΔABC to the midpoint of the opposite side. we will apply ; property of bisecting a line , equality theorem , transitive property and similarity theorem
Attached below is the proof
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Cd equals the square root of 3
Answer: 2 square root 3
Step-by-step explanation:
other user's answer
4(x + 1) + 8 = 24
how do i solve this
Answer: x = 3
First, you can multiply the 4 with the x and the 1:
4x + 4 + 8 = 24
Now, you just add the 4 and the 8 together:
4x + 12 = 24
Subtract 12 from both sides:
4x = 12
Now you divide by 4 from both sides
x = 3
^ and that's your final answer!
Answer:
x=3
Step-by-step explanation:
4x+4+8=24
4x+12=24
4x=12
4x/4=12/4
(x=3)
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answer:
The order is 4, 3, 2, 1.
Step-by-step explanation:
I remember isosceles triangles with the two eyes rule - because eye & the “i” in isosceles sound the same, you have two eyes and two sides, lol. just a cute little memory trick. acute angles are smaller than 90 degrees, so that explains the next one. equilateral means the same sides, and equiangular means the same angles (60 degrees each in a triangle!) hope this is helpful & accurate!
The radius of a circle is 16 cm. Find its area in terms of \piπ
Answer256pi
Step-by-step explanation:
Area=pi*r^2
=pi*16^2
256pi
Josiah earns $8.00 per hour at his job.
Write and solve an inequality that represents how many hours it will take him to earn at least $120.
Answer:
15 hours
so, 8 x y = 120
Step-by-step explanation:
[tex]8\sqrt{120} =[/tex] 15
the difference between the squares of two numbers is 32. twice the square of the first number increased by the square of the second number is 76. find the numbers.
Answer:
The numbers are 6 and 2
6 squared = 36
2 squared = 4
So 36-4 = 32
And 36 x 2 = 72 + 4 = 76
Help please question in the picture
Answer:
17.5
Step-by-step explanation:
The area of a triangle is (height*base)divided by two
(the eight is really unnecessary)
so 7=base
8=height
7*5=35
35/2=17.5
surface area of a pyramid
WILL GIVE BRAINLIEST TO FIRST TO ANSWER CORRECTLY
Find the surface area of the pyramid. Round to the nearest tenth if necessary.
12.25 in.
15.75 in.
15.75 in.
in^2 = ?
Answer:
633.9 in.²
Step-by-step explanation:
Surface Area = Base Area + ½(Perimeter of Base)(slant height)
Base area = s² = 15.75² = 248.0625 in.²
Perimeter = 4(15.75) = 63 in.
Slant height = 12.25 in.
Surface area = 248.0625 + ½(63)(12.25)
= 633.9375 ≈ 633.9 in.² (nearest tenth)
Is the following relation a function? *
{(-3, 2), (1, 8), (-1, 5), (3, 11)}
Yes
No
Why or why not?
Answer:
No.
Step-by-step explanation:
Well at first glance it might seem so but there are two points particularly that can tell you that these points cannot be within a function.
The points (3,2) and (3,-2) will yield an undefined slope (a straight vertical line). There is no possibility that the other points can be in this line (as their y - values are different) and there is no possibilty that this is a function at all according to the vertical line test (the test is that if you draw a vertical line that there shouldn't be more than one point on it).
,........................................................................................l