Answer:
The coordinates of the division point are (7, 3)
Step-by-step explanation:
The coordinates of the point (x, y) which divides a segment with endpoints (x1, y1) and (x2, y2) at a ratio m1: m2 internally is ([tex]\frac{m1x2+m2x1}{m1+m2}[/tex] , [tex]\frac{m1y2+m2y1}{m1+m2}[/tex] ).
∵ The line segment joining the points (4, -3) and (8, 5)
∴ x1 = 4 and x2 = 8
∴ y1 = -3 and y2 = 5
∵ The point divides the segment at ratio 3: 1
∴ m1 = 3 and m2 = 1
→ By using the rule above
∵ x = [tex]\frac{(3)(8)+(1)(4)}{3+1}[/tex] = [tex]\frac{24+4}{4}[/tex] = [tex]\frac{28}{4}[/tex]
∴ x = 7
∵ y = [tex]\frac{(3)(5)+(1)(-3)}{3+1}[/tex] = [tex]\frac{15-3}{4}[/tex] = [tex]\frac{12}{4}[/tex]
∴ y = 3
∴ The coordinates of the division point are (7, 3)
pls help meh again ill give brainliest i gave it last time so yeh pcture in question
Answer:
4.6%
Step-by-step explanation:
Percentage = [tex]\frac{5.05-4.82}{5.05}*100[/tex]
[tex]= \frac{0.23}{5.05}*100\\\\= 4.55[/tex]
= 4.6 %
Answer:
4.55445545% or 4.6% rounded to nearest tenth
Step-by-step explanation:
((5.05 - 4.82) / 5.05) * 100
Pleaseeee helppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Hi, i need help please.
Answer:
The answer is A.8x+13
Step-by-step explanation:
A boat is carried with the current at an angle of 43 degrees to the shore. if the river is approx. 15 meters wide, how far does the boat travel before reaching the opposite side of the shore
Answer:
22 m
Step-by-step explanation:
The computation of the how much far does the boat travel is as follows:
sin 43 degrees = 15 ÷ d
d = 15 ÷sin 43 degrees
= 15 ÷ 0.6820
= 21.99
= 22 m
Hence, the how much far does the boat travel is 22 m
We simply applied the above formula so that the correct value could come
The same is to be considered
*BRAINIEST & 25 POINTS*
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Answer:
m<R = 65
Step-by-step explanation:
m<R + m<S + m<T = 180° (sum of interior angles in a triangle)
(5x - 11) + (3x - 3) + (3x + 18) = 180°
Solve for x.
5x - 11 + 3x - 3 + 3x + 18 = 180
Add like terms
11x + 4 = 180
11x = 180 - 4
11x = 176
x = 16
m<R = (5x - 11)
Plug in the value of x
m<R = 5(13) - 11
m<R = 65
A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft what is the height corresponding to the 8 ft base
Given :
A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft.
To Find :
The height corresponding to the 8 ft base.
Solution :
Since, both parallelogram are similar. So, ratio of the sides of parallelogram is similar in both the cases.
[tex]\dfrac{h_1}{h_2}=\dfrac{b_1}{b_2}\\\\\dfrac{8}{14}=\dfrac{h_1}{4}\\\\h_1 = \dfrac{8\times 4}{14}\\\\h_1 = 2.285 \ ft[/tex]
Therefore, the height corresponding to the 8 ft base parallelogram is 2.285 ft.
7th grade math help me pleaseee
no, -6+2= -4
not -6 +(-2)
Madeline drives 15 miles in 12 minutes. If she drove three hours in total at the same rate, how far did she go?
Before you try that problem, answer the question below.
How many minutes did Madeline drive in total?
Answer:
225 miles in total
Step-by-step explanation:
Can anyone help me with this question??
Answer:
The asnwer is 83.6 :)
Step-by-step explanation:
7.6x11=83.6
Answer:
i think its B .-.
Step-by-step explanation:
the other numbers are less than the ones up above
20 points-
I need help
Answer:
11 is 150
12 is 168 lectures and 70 professers
Step-by-step explanation:
Ismael is trying to figure out which rock-climbing gym has the best rates. The different rates for two different gyms are below.
Answer:
Boulders:
1 - 10
2 - 20
3 - 30
4 - 40
5 - 50
Manhattan Rocks:
1 - 15
2 - 20
3 - 25
4 - 30
5 - 35
B. 10 hours, Ismael should go to Manhattan Rocks because 35 times 2 is 70 and 50 times 2 is 100. Manhattan Rocks would only be 70 compared to 100.
C. is for you to decide
Step-by-step explanation:
A tree measured 18 1/2 feet tall. Over the next 7 1/2 years, it grew to be 63 1/2 feet tall. During the 7 1/2years, what was the average yearly growth rate of the tree?
Step-by-step explanation:
first subtract how tall is was 7 1/2 years ago from hell with all it is now. 57 - 40.5 = 16.5 or 16 1/2 so and the seven and a half years the tree Grace 16.5 with 16 1/2 seats to get the average yearly growth for the 7 1/2 year. You have to divide 16 and 1/2 ft by 7 and 1/2 Tim Wiles it makes it much easier if you change the fractions to decimals
Lucas is walking around the edge of the playground shown. How far will lukas have to walk when he finishes one loop around the playground? Round to the nearest unit, if necessary.
Answer:
See Explanation
Step-by-step explanation:
Required
Determine how far he walked in one loop
This question is incomplete, as the playground diagram and dimensions are missing. However, I'll answer on a general terms.
What this question requires is to calculate the perimeter of the playground.
Assume that the playground is rectangular and the dimensions are: 2 meters by 3 meters.
The distance walked will be calculated using the following perimeter formula.
[tex]Distance = 2(2m + 3m)[/tex]
[tex]Distance = 2(5m)[/tex]
[tex]Distance = 10m[/tex]
If it is a square with 5m as the length of one of its side, the distance would be:
[tex]Distance = 4 * 5m[/tex]
[tex]Distance = 20m[/tex]
So basically, all you need to do is calculate the perimeter of the playground.
which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an= -2 + (n-1)3?
Answer: C.[tex]\left \{ {{a1=-2} \atop {an=a(n-1)+3}} \right.[/tex]
because it is the arithmetic progression with d = 3
=> a(n) = a1 + (n - 1).3
so, have: a1 = -2
an = a(n-1) + 3
Step-by-step explanation:
2(6.75)+1.03+3S=22 therefore 3S = 14.53 divide by 3 so S equals 4.84 per pair of socks
Answer:
each pair of socks cost $2.49
Step-by-step explanation:
Eric spent $22.00, including sales tax on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. How much did each pair of socks cost?
Solution:
The total money spent was $22.00. 2 jerseys costing $6.75 each was bought, the total tax was $1.03. 3 pairs of socks was bought, Let S represent the cost for each pair of socks. The total money spent is the sum of the money spent on jersey, socks and tax. Hence:
2(6.75) + 3S + 1.03 = 22
13.5 + 3S + 1.03 = 22
14.53 + 3S = 22
3S = 22 - 14.53
3S = 7.47
S = 2.49
Hence each pair of socks cost $2.49
Yesterday, Grace drove 44 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
35.6 miles per gallon.
I'm not sure but good luck :)
Step-by-step explanation:
Answer:
Just realized I gave you the wrong answer. Here's the right one below:
Step-by-step explanation:
(44 1/2)/(1 1/4)
(89/2)/(5/4)
(89/2)(4/5)
178/5
35 3/5 mpg
Sorry about that! :)
1. Find the perfect square numbers between the following:
b. 11 and 33
c. 30 and 40
d. 59 and 92
a. 26 and 55
Answer:
Step-by-step explanation:
b. 16 and 25
c. 36
d. 64, 81
a. 36, 49
An ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of
14 cm. They are considering switching to a new container that is a rectangular prism whose base is
20 x 13 cm
The company wants the new container to have the same volume as the old container,
How tall should the new container be?
Round to the nearest tenth.
cm
Answer:
9.5
Step-by-step explanation:
The height of the rectangular container will be 9.47 cm.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or Cuboid. For cylinders, we need the radius and the height of the cylinder.
Given that an ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of 14 cm. They are considering switching to a new container that is a rectangular prism whose base is 20 x 13 cm.
The height of the rectangular prism will be calculated as:-
( π / 4 ) X D² X H = L x W x H
( π / 4 ) X 14² X 16 =20 X 13 x H
H = [( π / 4 ) X 14² X 16] / ( 20 x 13)
H = 9.47 cm
Therefore, the height of the rectangular container will be 9.47 cm.
To know more about volume follow
https://brainly.com/question/23935577
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A basketball player scored 288 points in 9 games. Use the unit rate to find how many points the player would score in 5 games.
Answer:
160 Points in 5 Games
Step-by-step explanation:
The given information will be used as the first ratio. 288 points / 9 games. To find out how many points this player would score in 5 games, we use another ratio with the unknown value, x. This would be x points / 5 games. Put the ratios equal to each other and cross multiply. You will get a final answer of 160.
GUYS URGENT PLS HELP
V= πr^2h = cylinder volume equation
V=4 /3 πr^3 = volume of the shpere
use the equation and add them up
Luke has 9/10 yard of colored ribbon. He plans to cut the ribbon into pieces. Each piece will be 1/6 yard long. How many whole pieces can luke make from the ribbon?
Answer:
He can make 5 ribbons and 2/5 yards is left over.
Step-by-step explanation:
It is given that,
Length of the colored ribbon = 9/10 yards
Luke plans to cut the ribbon into pieces.
Each piece will be 1/6 yard long.
We need to find the number of pieces that Luke can made from the ribbon. Let he can make x pieces.
[tex]x=\dfrac{\dfrac{9}{10}}{\dfrac{1}{6}}\\\\=\dfrac{9}{10}\times 6\\\\=5.4\\\\=5\dfrac{2}{5}[/tex]
It means he can make 5 ribbons and 2/5 yards is left over.
What is the value of x
Answer:
x=8
Step-by-step explanation:
8x8-24= 40
6x8+10=58
1. The value of (301)^2 – (300)^2 is
Eileen collected 78 empty cans to recycle, and Carl collected 62 cans. They packed an equal number of cans into each of seven boxes to take to the recycling center. How many cans were in each box?
Answer:
20 cans
Step-by-step explanation:
Eileen collected 78 empty cans to recycle
Carl collected 62 empty cans to recycle
They pack equal number of cans in 7 boxes
Therefore the number of cans in each boxes can be calculated as follows.
= 62 + 78/7
= 140/7
= 20
Hence there were 20 cans in each boxes
A building has 17 floors of offices above ground and 5 floors below ground. Kaylea parks on the 4th floor below ground and has an office on the 15th floor. The ground floor is zero. How many floors must she go up from her car to her office?
Answer:
19 floors
Step-by-step explanation:
Let us consider the ground floor as 0 and the floors above it as positive and the floors below the ground floor as negative.
So, the floor in which she parked is -4 and the floor where her office is at +15.
The number of floors she has to climb is the absolute value of the difference of the two floors.
The number of floors she has to go up is [tex]|-4-15|=19[/tex].
Solve the system of equations using elimination 2x+y=3 and 3x-y=12
Which math expression means "the product of 16 and 26"?
Answer:
A. 16 x 26
Step-by-step explanation:
Pruduct means the answer to a multiplaction problem.
Answer:
The answer is A
Step-by-step explanation:
The product means it's a multiplication
If point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5: a) What is the rule (written using proper symbols)? b) What are the coordinates of A'?
Given:
Point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5.
To find:
The rule and coordinates of A'.
Solution:
Let a point be P(x,y).
If a point translated 3 units horizontally and -5 units vertically, then
[tex]P(x,y)\to P_1(x+3,y-5)[/tex]
Then, rotated 90° clockwise.
[tex](x,y)\to (y,-x)[/tex]
[tex]P_1(x+3,y-5)\to P_2(y-5,-(x+3))[/tex]
Then, reflected over the x-axis.
[tex](x,y)\to (x,-y)[/tex]
[tex]P_2(y-5,-(x+3))\to P_3(y-5,x+3)[/tex]
Dilated by a factor of 5.
[tex](x,y)\to (5x,5y)[/tex]
[tex]P_3(y-5,x+3)\to P'(5(y-5),5(x+3))[/tex]
[tex]P_3(y-5,x+3)\to P'(5y-25,5x+15)[/tex]
So, the rule of transformation is
[tex](x,y)\to (5y-25,5x+15)[/tex]
We have a point A(4,-3). So, put x=4 and y=-3.
[tex]A(x,y)\to A'(5(-3)-25,5(4)+15)[/tex]
[tex]A(x,y)\to A'(-15-25,20+15)[/tex]
[tex]A(x,y)\to A'(-40,35)[/tex]
Therefore, the coordinate of point A' are (-40,35).
If RT=6x+4 and SO =7x-6, what is the length of US
HELP, I have to turn this in tomorrow ... is this correct??
Answer: yes
Step-by-step explanation:
