5. In the triangle ABC. M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1, 3), B(7-3) and C(1,6).
Answer:
N(2,3)
Step-by-step explanation:
According to the Question,
Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6). Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)
Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).Thus. N(a,b) = (1+3)/2 , (6+0)/2 ⇒ N(2,3)
Help please!! Worth 14 points!
Answer:
6 days
Step-by-step explanation:
Hi there!
Let d be equal to the number of days that pass.
1) Form expressions
We're told that our sister earns $30 a day, but needs to pay $60 at first:
[tex]30d-60[/tex]
We're also told that we earn $20 a day:
[tex]20d[/tex]
2) Form an equation
We're solving for the number of days that pass (d) in order for both our and our sister's income to equal each other.
For our income and our sister's income to equal each other, the following must be true:
[tex]30d-60=20d[/tex]
Because the only variable here is d, we can simply isolate it to determine the number of days that would pass.
3) Solve for d
[tex]30d-60=20d[/tex]
Subtract 30d from both sides to isolate d on one side
[tex]30d-60-30d=20d-30d\\-60=-10d[/tex]
Divide both sides by -10 to isolate d
[tex]6=d[/tex]
Therefore, for both our income and our sister's income to become equal, 6 days would pass.
I hope this helps!
ZCAB = 150°. What is the value of х?
(4х + 22)
(6х + 8)
Step-by-step explanation:
Dhuʻl-H. 7, 1441 AH · 2 answers
5)Find the value of x for which 2x ÷ 2- 4 = 45 6) Calculate the missing value of “x” in the following expression: (11/9)3 × (9/11)6 = (11/9)2x-1 7) 5 ...
Missing: ZKB = 150°. (4х +
Question 3:
A ladder is placed against a wall.
The base of the ladder is 4 foot from the bottom of the wall.
The angle between the ladder and the ground is 80°.
What is the length of the ladder?
probably this would help.
Please help me on this!! 11 points!!!
[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]
SIMPLIFY THE EXPRESSION [tex] \blue{\frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } } }[/tex]
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
[tex] \pink{ \frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } }} \\ m^{ \frac{2}{3} - \frac{1}{5} } \\ m^{ \frac{(2 \times 5) - (1 \times 3)}{3 \times 5} } \\ m^{ \frac{10 - 3}{15} } \\ m^{ \frac{7}{15} } [/tex]
[tex] \green{SECOND \: \: OPTION->}\purple{ m^{ \frac{7}{15} } }[/tex]
can someone help please
9514 1404 393
Answer:
4. n = 4
5. P(A|B) = 0.75
Step-by-step explanation:
4. The coefficient of x will depend on n. The expansion is ...
(5 +nx)^2(1 +3/5x)^n = (25 +10nx +n^2·x^2)(1 +3/5nx +...)
So, the x-term of the expansion is ...
25(3/5nx) +(10nx)(1) = 25nx
The problem statement tells us that is 100x, so we have ...
25nx = 100x
n = 100x/(25x) = 4 . . . . . divide by the coefficient of n
The value of n is 4.
__
5. For the conditional probability formula, we need to know P(A∩B).
P(A∩B) = P(A) +P(B) -P(A∪B)
P(A∩B) = 0.5 +0.4 -0.6 = 0.3
Then the conditional probability is ...
P(A|B) = P(A∩B)/P(B) = 0.3/0.4
P(A|B) = 0.75
A box of Lucky Charms costs $3.29 and you have a coupon that will save you 75 cents off 2 containers. What is the final price if you buy 2?
Helpppppppppppp meeeeeeeeee
Answer:
X=-1
Step-by-step explanation:
X=-1 is just a vertical line since it only tells where the x point is.
There are 6 rotten mangoes and 24 good mangoes in a bag. What fraction of the mangoes is rotten?
[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]
Total number of rotten mangoes in the bag = 6
Total number of good mangoes in the bag = 24
[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]
Fraction of the rotten mangoes to the total mangoes.
[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{1}{5} }}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation :}}}[/tex]
Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes
➺[tex]\:6 + 24[/tex]
➺[tex]\:30[/tex]
Now,
Fraction = [tex]\frac{Total \: \: number \: \: of \: \: rotten \: \: mangoes}{Total \: \: number \: \: of \: \: mangoes}[/tex]
➺[tex] \: \frac{6}{30} [/tex]
➺[tex] \: \frac{1}{5} [/tex]
Therefore, the fraction of the rotten mangoes to the total mangoes is [tex]\sf\pink{\frac{1}{5}}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Answer:
6/24
Step-by-step explanation:
It is 1/4 in simplest form
Shantelle wants to rent a midsize car for one day.Value rent a car charges $20 a day plus 0.20 per mile,and best rent a car charges $30 a day plus $0.10 per mile for rental of the same mid-size car
Part A)write an equation in slope intercept form,y=mx+b for each car
Part b: determine the mileage where the rental charges are the same.
(Need help asap)
Answer:
See answers to parts a and b below.
Step-by-step explanation:
A. Value: y=20+.20x
Best Rent y=30+.10x
B. 20+.20x=30+.10x make equations equal each other by subbing y values.
.10x=10 simplify equation
x=100
check answers by subbing 100 for x in each equation.
y=20+.20(100)
y=20+20
y=40
y=30+.10(100)
y=30+10
y=40
Both equations equal 40, so 100 is the correct number of miles for when Value equals Best Rent.
its the last one:) please help. giving brainlist
Answer:
[tex]5[/tex]
Step-by-step explanation:
Segments are named by their endpoints. Therefore, segment PQ will have endpoints P and Q. The length of the segment is equal to the distance between these points.
To find the distance between P and Q given their coordinates, use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let:
[tex]P(-2, 7)\implies (x_1, y_1),\\Q(1, 3)\implies (x_2, y_2)[/tex]
The distance between these points is equal to:
[tex]d=\sqrt{(1-(-2))^2+(3-7)^2},\\d=\sqrt{3^2+(-4)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=\boxed{5}[/tex]
Answer:
[tex]5[/tex]
Step-by-step explanation:
This problem gives one the following points on a line: ([tex]P(-2,7)[/tex]), and ([tex]Q(1,3)[/tex]). The problem asks one to find the distance between the two points. The formula to find the distance between two points on a coordinate point is the following,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the given values in and solve for the distance;
[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}[/tex]
Simplify,
[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}\\\\D=\sqrt{(-3)^2+(4)^2}\\\\D=\sqrt{9+16}\\\\D=\sqrt{25}\\\\D = 5[/tex]
Find the measure of the reference angle for each given angle
0=225
Answer:
45°
Step-by-step explanation:
Reference angle is defined as The smallest angle that the standard position of a given angle will make with the x-axis.
Now, the given angle 225 lies in third quadrant. So, for us to find the reference angle, we will have to subtract 180 from it to get;
225 - 180 = 45°
helppppp- u just need to simplify the given term
Write the equation of the line that passes through the points (8,1) and (-1,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y-3 = -2/9(x+1)
Step-by-step explanation:
Here, we want to find the standard equation
Generally, we have the equation as;
y = mx + b
where m is the slope of the line and b is the y intercept
To find the slope, we use the slope equation
m =y2-y1/x2-x1
m = (3-1)/(-1-8) = 2/-9 = -2/9
So to write in point slope form, we can use any of the two points
We have;
y-y1 = m(x-x1)
using (-1,3)
y-3 = -2/9(x+1)
Write the smallest three digit number whose value does not change on reversing its digits.
Answer:
the answer is 101.
Step-by-step explanation:
it is the smallest three-digit number whose value does not change on reversing its digits.
Solve the system by substitution.
y = 4x
y = 8x - 36
Answer:
(9,36)
Step-by-step explanation:
Substitute the 4x for the y in second equation.
Basically setting them equal to each other because the both have 'y='
4x = 8x - 36
-4x = -36 (subtract 8x from both sides)
x = 9 (divide by -4, both sides)
y = 4(9) (Substitute the x value into first equation)
y = 36
If P is the incenter of JKL, find m Please show the work, that would be really helpful, thank you!
Answer:
[tex]34^{\circ}[/tex]
Step-by-step explanation:
The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.
By definition, an angle bisector divides an angle into two equal smaller angles.
Therefore:
[tex]\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP[/tex]
What we're given:
[tex]\angle KJN=\angle LJN=30^{\circ}[/tex] [tex]\angle KLM=\angle JLM=26^{\circ}[/tex]The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:
[tex]\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}[/tex]
Substituting given values:
[tex]30+30+26+26+\angle JKP+\angle LKP=180[/tex]
Since [tex]\angle JKP=\angle LKP[/tex],
[tex]30+30+26+26+2(\angle JKP)=180,\\112+2(\angle JKP)=180,\\2(\angle JKP)=180-112,\\2(\angle JKP)=68,\\\angle JKP=\frac{68}{2}=\boxed{34^{\circ}}[/tex]
Find length bc. Give your answer to 1 decimal place 11cm 64 trigonometry
Answer:
BC ≈ 9.9 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11}[/tex] ( multiply both sides by 11 )
11 × sin64° = BC , then
BC ≈ 9.9 cm ( to 1 dec. place )
What is the growth factor associated with the following growth rate: 30% decrease
Your answer should be typed as a decimal.
Given:
Growth rate = 30% decrease
To find:
The growth factor associated with the given growth rate.
Solution:
The general exponential function is:
[tex]y=a(1+r)^x[/tex]
[tex]y=a(b)^x[/tex]
Where, a is the initial value, r is the growth rate in decimal and [tex]b=1+r[/tex] is the growth factor.
It is given that the growth rate is 30% decrease. So,
[tex]r=-30\%[/tex]
[tex]r=-\dfrac{30}{100}[/tex]
[tex]r=-0.3[/tex]
Now,
[tex]b=1+r[/tex]
[tex]b=1+(-0.3)[/tex]
[tex]b=1-0.3[/tex]
[tex]b=0.7[/tex]
Therefore, the growth factor is 0.7.
A shop-keeper wants to charge 1.5 times
as much per toilet roll for offer B than offer A.
What is the price for offer B?
Answer:
ok so the equation would look like this
B=1.5A
so b is 1.5 times more then a
Determine the measure of CD from the diagram below.
Answer:
100 degrees
Step-by-step explanation:
This is because AED And CED ARE supplimetary.
80+<CED=180
-80 -80
<Ced=100
Swadaylab arck, a
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ne that obat 5. Eind the raken
$10
SOMEONE HELP ME PLEASE
9514 1404 393
Answer:
log4(2) = 0.5000
Step-by-step explanation:
You are being asked to figure out how to make the value 2 from the values 6 and 3. Your familiarity with arithmetic facts tells you ...
2 = 6/3
Taking logs base 4, you have ...
log4(2) = log4(6/3) = log4(6) -log4(3)
log4(2) = 1.2925 -0.7925
log4(2) = 0.5000
__
Additional comment
This is consistent with your knowledge of factors of 4:
√4 = 4^(1/2) = 2
log4(2) = 1/2
__
Here, we're using "log4" to mean the base-4 logarithm.
Please help i don't have enough time!! PISA: Exchange rate Mei-ling from Singapore has been preparing to go to South Africa for 3 months as an exchange student. She needed to convert some Singapore dollars (SGD) into South African Rand (ZAR). Mei-Ling discovered that the exchange rate between Singapore Dollar and South African Rand SeM 1 SGD = 4.2 ZAR Mei-Ling changed 3000 Singapore Dollars to South African Rand at this exchange rate. How much money did Mai Ling get in South African Rand?
Answer:
12600 (ZAR)
Step-by-step explanation:
4.2*3000
KoKo Chocolatiers sells their truffes in rectangular boxes. They are going to start ordering circular boxes, too. The rectangular box is made from metal that is 0.3 cm thick. The circular box will be constructed from laminated cardboard that is 0.2 cm thick. The height of the circular box will be the same as the rectangular box. If the volumes of the two boxes are equal, then what is the radius (r) of the circular box?
Answer:
r = 9.61 cm
Step-by-step explanation:
Volume of a rectangular box = length × width × height
= 21.5 cm × 13.5 cm × 6 cm
= 1,741.5 cm³
Volume of a rectangular box = 1,741.5 cm³
Since,
Volume of a rectangular box = Volume of a circular box
Then,
1,741.5 cm³ = Volume of a circular box
Volume of a circular box = πr²h
1,741.5 cm³ = 3.14 * r² * 6 cm
1,741.5 = 18.84r²
r² = 1,741.5/18.84
r² = 92.436305732484
r = √92.436305732484
r = 9.6143801533163
Approximately,
r = 9.61 cm
PLS ANSWER CORRECT
I WILL REPORT OR BAN YOU IF INCORRECT
I WILL MARK HIM BRAINLIST AND RATE 5 WHO ANSWERS CORRECT
THANKS A LOT
Step-by-step explanation:
The AB is equal to AC because They are straight lines that both came from the same point Which is A. which shows congruecy or similarity
What is the area of this tile?
Use inch or inch^2 for this problem.
Answer:
24 in^2
Step-by-step explanation:
To get the area of a triangle, multiply the base and height, then divide by 2.
Base=6
Height=8
6*8/2=48/2=24
24 in^2
Answer:
24 inch^2
Step-by-step explanation:
6 times 8 equals 48
Divide that by 2 and get 24
Area of Triangle is A=1/2bh
Can I get Brainliest, please!
what are the two greatest common factors in 28 and 10
Math help please show work thanks
=====================================================
Work Shown:
36 inches = 3 feet
Divide by 12 to go from inches to feet
The block has the dimensions
L = 5 ftW = 8 ftH = 3 ftUse the formula below to calculate the surface area
SA = 2*(LW+LH+WH)
SA = 2*(5*8+5*3+8*3)
SA = 2*(40+15+24)
SA = 2*(79)
SA = 158 square feet
So if you had 158 square feet of wrapping paper, then you can cover this entire 3D box without any gaps or overlaps. The paper can be folded over the box, or you can cut/glue the pieces on, but make sure there isn't any leftover scraps of paper.
Please help meee I need this done ASAP
Answer:
4pi/15=θ - i think
Step-by-step explanation:
S = r*θ
r=9
s=12pi/5
12pi/5=9*θ
12pi/45=θ
4pi/15=θ