The co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1 is , (0,0)
What is a line?The equation of a line is a relationship between x and y coordinates.
Section formula for a point which divides line joining points into m:n ratio,
(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }
Given points,
(-3, 9) and (1, -3)
m:n = 3:1
(X,Y) = { (3×1+ 1×-3)/3+1 , (3×-3 + 1×9 )/ 3+1 )
(X,Y) = (0,0)
Hence, the points will be, (0,0)
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Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Jack make if he had 28.88 lbs of clay left over?
A sector with an area of 30pi cm^2 has a radius of 10 cmWhat is the central angle measure of the sector in degrees?
A ship is at a distance of 200 m from a tall tower. What is the angle of depression (to the nearest degree) of the ship found by a man after climbing 50 m up the tower?
Answer:
14degrees
Step-by-step explanation:
Given the following
Distance of ship from the tower = 200m
Height of the tower = 50m
Required
Angle of depression theta
USing the SOH CAH TOA identity
Tan theta = opposite/adj
Tan theta = 50/200
Tan theta = 1/4
theta = arctan(0.25)
theta = 14.03degrees
Hence the angle of depression is 14degrees
What is the probability of rolling a four on the first die and a two on the second die?
(There are 6 sides)
Answer:
1/36
Step-by-step explanation:
Probability of hitting 4 : 1/6
Probability of hitting 2: 1/6
The probability of these two elements: 1/6 * 1/6 = 1/36
In ΔBCD, the measure of ∠D=90°, CB = 53, BD = 45, and DC = 28. What ratio represents the sine of ∠B?
Answer: 28/53
Step-by-step explanation:
trust me bro
The ratio that represents the sine of ∠B is 15/17.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Since the triangle has a right angle, we can find the length of the unknown side using the trigonometric notations SOH CAH TOA where;
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
With respect to ∠B given that ∠D=90°,
BD is the adjacent side and CB is the hypotenuse side, DC is the opposite side
Hence ,Sin B = 15/17
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Cubes having side lengths of 3/4 in. are used to fill the right rectangular prism shown.
Answer:
I also want this question ans but u also
Answer:
36
Step-by-step explanation:
on the 4 [tex]\frac{1}{2}[/tex] in side you can fit 6 cubes
on the 1 [tex]\frac{1}{2}[/tex] in side you can fit 2 cubes
on the 2 [tex]\frac{1}{4}[/tex] in side you can fit 3 cubes
6 x 2 x 3 = 36
the answer is 36
40% of 36
can somone tell me what it is or how to do it because i am struggling
Answer:
14.4
Step-by-step explanation:
To find 40 percent of 36, here's how I do it. Just divide 36 by one hundred (move the decimal point two times to the left), giving you 0.36. Then multiply that by 40, and you get 14.4! Of course, there are multiple ways to do it, but that's just mine. If it doesn't work for you, try and search some formulas.
Answer:
Step-by-step explanation:
40/100*36
40*36/100
1440/100
14.4
so here if u divide 40% by 100 the % sign will automarically removed and here 40% 0f 36 means 40 and to remove % sign divide it by 100 and multply it by 36
HELP! Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be about 56 lb. Approximately what would Vince weigh on the other planet?
Answer:
64
Step-by-step explanation:
140/56=2.5
160/2.5=64
At a particular school 10% of children travel by bus.If this represent 120 children how many children attend the school?
Answer:
Total number of students= 1,200
Step-by-step explanation:
Giving the following information:
Proportion of students= 10%
Number of students that travel by bus= 120
To calculate the number of students that attends school, we need to use the following formula:
Total number of students= Number of students that travel by bus / proportion of students
Total number of students= 120 / 0.1
Total number of students= 1,200
I need help is it A B C or D
Answer fast please
Im having such a hard time solving this plz help
Answer: 38 Bags
Step-by-step explanation:
Since there are 19 people and each person needs 24 beads, the total number of beads needed is 19*24=456. Then if this total must be split up into groups of 12 beads, the answer would be 456/12=38.
Tammy knits blanket and scarves. On the first day of a craft fair, she sells 2 blankets and 5 scarves for $104
Answer:
Cost of Blanket = 32
Step-by-step explanation:
Let the cost of a blanket be = b , cost of a scarf be = s. Blanket price x Blanket Quantity & Scarf Price x Scarf Quantity sum up to be total sales.
So, Day 1 : 2b + 5s = 104 (i) , Day 2 : 3b + 4s = 128 (ii)
Solving equations : Multiplying (i) by 3 , & (ii) by 2 , we get
6b + 15s = 312 ,
(-)6b + (-)8s = (-)256
By elimination method, 15s - 8s = 312 - 256 → 7s = 56 → s = 56 / 7 = 8 .
Putting s value in any equation i], 2b + 5 (8) = 104 → 2b + 40 = 104 → 2b = 104 - 40 = 64 → b = 64 / 2 = 32
Which is true given the linear equation below?
3x+4y=4
Answer:
y= −3/4x + 1
x= -4/3y + 4/3
Step-by-step explanation:
Let's solve for y.
3x+4y=4
Step 1: Add -3x to both sides.
3x+4y+−3x=4+−3x
4y=−3x+4
Step 2: Divide both sides by 4.
4y4=−3x+44
y=−34x+1
___________
Let's solve for x.
3x+4y=4
Step 1: Add -4y to both sides.
3x+4y+−4y=4+−4y
3x=−4y+4
Step 2: Divide both sides by 3.
3x3=−4y+43
x= -4/3y + 4/3
math papa algebra caculator, thank me later
Find the sum of the first 30 terms for the given arithmetic sequence.
8, 1, -6, -13, ...
5 (3z-3) =30 it’s from delta math 8 grade
Answer:
[tex]5[/tex]
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
5 (3z-3) = 30
15 z - 15 = 30
15 z = 30+ 15
15z = 45
z= 45/ 15
z= 3
can someone help me solve this equation and explain
Answer:
C
Step-by-step explanation:
Plug in the numbers in each equation to see if it fits. C is the best option
17. A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in square centimeters?
Answer:
28.27
Step-by-step explanation:
Formula to find the total surface area is
2pi · r · h + 2pi r^2
the radius is 3cm
2pi · 3 · 10 + 2pi · 3^2
Make m the subject of
g -Зm = аm + 5
NO LINKS OR BE REPORTED
Express your answer in scientific notation:
8.8 * 10^7 + 3.1 * 10.8 =
[tex]2x - 4 = 30[/tex]
Answer:
x=17
Step-by-step explanation:
2x-4=302x=30+42x=34x=34/2x=17stay safe healthy and happy.Answer:
x = 12
Step-by-step explanation:
2x - 4 = 30
2x = 30 + 4
2x = 34
x = 34/2
◆ x = 17
This is a Right answer
Please help me out with this problem :)
Find the maximum value of P= x + 6y subject to the following constraints
Answer:
I cant tell what the answer is cause X and Y dont have a value
Step-by-step explanation:
Answer:
p=9
Step-by-step explanation:
123
30°
у
Find the values of x and y. Write your answers in simplest form.
x =
y=
Answer:
[tex]y=6\sqrt{3}[/tex]
[tex]x=18[/tex]
Step-by-step explanation:
[tex]Sin30=\frac{9}{12\sqrt{3} }[/tex]
[tex]1/2=y/12\sqrt{3}[/tex]
[tex]y=6\sqrt{3}[/tex]
[tex]tan30=y/x[/tex]
[tex]x=y/tan30=x=\frac{6\sqrt{3} }{1/\sqrt{3} }[/tex]
[tex]x=18[/tex]
------------------------
hope it helps...
have a great day!
sorry to be annoying again I just really suck at math and I haven't slept yet
Answer:
50.33 mi.
Step-by-step explanation:
GIVEN :-
Coordinates of :-
Home = (0 , 0)School = (4 , 3)Pizza place = (-8 , 2)Movie Theater = (-4 , -6)Park = (7 , -5)TO FIND :-
Total distance travelled on Friday & Saturday.GENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Lets say there are two points A & B on a cartesian plane whose coordinates are (x₁ , y₁) & (x₂ , y₂).
Distance between A & B = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
SOLUTION :-
According to question ,
On Friday , you -
leave school and go to pizza palace. Distance travelled from school to pizza palace = [tex]\sqrt{(4 -(-8) )^2 + (3 - 2)^2} = \sqrt{(12)^2 + (1)^2} = \sqrt{145}[/tex] ≈ 12.04 mi.go to movie theater after pizza palace. Distance travelled from pizza palace to movie theater = [tex]\sqrt{[(-4) -(-8)]^2 + (-6 - 2)^2} = \sqrt{(4)^2 + (-8)^2} = \sqrt{80}= 4\sqrt{5}[/tex] ≈ 8.94 mi.come back to your home after the movies. Distance travelled from theater to home = [tex]\sqrt{[0-(-4)]^2 + (0 - 6)^2} = \sqrt{(4)^2 + (-6)^2} = \sqrt{52} = 2\sqrt{13}[/tex] ≈ 7.21 mi.⇒ On Friday , total distance travelled = 12.04 + 8.94 + 7.21 = 28.19 mi.
On Saturday , you -
go to park from your home. Distance travelled from home to park = [tex]\sqrt{(7 -0 )^2 + (-5 - 0)^2} = \sqrt{(7)^2 + (-5)^2} = \sqrt{74}[/tex] ≈ 8.6 mi.go to school after going to park. Distance travelled from park to school = [tex]\sqrt{(4 -7 )^2 + [3 - (-5)]^2} = \sqrt{(-3)^2 + (8)^2} = \sqrt{73}[/tex] ≈ 8.54 mi.go to home after playing basketball in school. Distance travelled from school to home = [tex]\sqrt{(0 -4 )^2 + (0 - 3)^2} = \sqrt{(-4)^2 + (-3)^2} = \sqrt{25}[/tex] = 5 mi.⇒ On Saturday , total distance travelled = 8.6 + 8.54 + 5 = 22.14 mi.
∴ Total distance travelled on Friday & Saturday = 28.19 + 22.14 = 50.33 mi.
You have 2 green marbles, 2 red marbles, 3 purple marbles, and 5 gold marbles in a bag. What is
the probably of the following event if no marble is replaced after pulling it?
Answer:
Green(before) : [tex]\frac{2}{12}[/tex]
Red(before) : [tex]\frac{2}{12}[/tex]
Purple(before) : [tex]\frac{3}{12}[/tex]
Gold(before) : [tex]\frac{5}{12}[/tex]
That is before. Now there are only 11 marbles, so that is the new total. Depends on which color you got to tell the new probability.
heeelpppppppppppppppppppppp plz
Answer:
150°
Step-by-step explanation:
I’m just trynna get to 90% on this test before sunrise
Answer:
they are congruent
Step-by-step explanation:
Calculator
What is the value of x?
Enter your answer in the box.
X =
Answer:
x=5
Step-by-step explanation:
According to the Pythogoras Theorem,
(hyp)^2 = (opp)^2 + (adj)^2
(13)^2 = (12)^2 + (x)^2
169 = 144 + (x)^2
(x)^2 = 25
x = 5
Tom has some marbles in two bags. In one bag he has 3 yellow, 2 green and 1 red marble. In the other bag he has 3 yellow, 3 green and 3 red marbles. If Tom takes one marble out of each bag, how probable is it that neither one is yellow?
Answer:
1 /3
Step-by-step explanation:
Bag 1 :
Yellow = 3 ; green = 2 ; red = 1
Total = 6
P(not yellow) = (2 +1) / 6 = 3/6 = 1/2
Bag 2 :
Yellow = 3 ; green = 3 ; red = 3
Total = 9
P(not yellow) = (2 +3) / 9 = 6/9 = 2/3
P(neither yellow from the two bags) = 1/2 * 2/3 = 2 /6 = 1/3
Please help me find the median to this table
Which expression best completes the following definition of a complex number?
Answer:
C. a+bi
I took the test