A=160 m
Solution:The formula for the Area of a rectangle is:A=LWIn the above formula, L stands for the length and W stands for the width.We are given:L=16 mW=10 mWe are asked to find the area of the rectangular pool.The operation that we're going to use here is:Multiplication.Multiply:A=16*10A=160 mHope it helps.
Do comment if you have any query.
- area: 160 m²
What is asked?- Asked to find the area of the rectangular pool.
What are given?- Given with width of the pool is 10 metres and length is 16 metres.
What is/are the operations to be used?- multiplication
What is the number sentence?- 10 * 16
What is the answer?- area: 160 m²
Additional ===========
area of rectangle = Length * WidthE represents an object's weight on earth and m represents that same object's weight on the moon. the equation m = 1/6 e represents the relationship between these quantities. a. what does the 1/6 represent in this situation? b. give an example of what a person might weigh on earth and on the moon.
In the equation, 1/6 represents the constant of proportionality.
If a person weighs 60 kg on earth, the person would weigh 10kg ont he moon.
What is inverse proportion?
The equation that represents inverse proportion is: m = ke
Where:
m = dependent variable k = constant of proportionalitye = independent variableIf k is 1/6 and e is 60kg,
m = 1/6 x 60 = 10kg
To learn more about inverse proportion, please check: https://brainly.com/question/20391784
???????!:!:!:!:!:?!!!!!???!:!/!/
Answer:
Corral 4
Step-by-step explanation:
we need to divide the area of the corral by the Number of animals In order To know the dedicated space for each animal
Corral 1 :
(50×40)÷110 = 18.181818181818 < 20
Then it doesn’t meet the requirements.
Corral 2 :
(60×35)÷115 = 18.260869565217 < 20
Then it doesn’t meet the requirements
Corral 3 :
(55×45)÷125 = 19.8 < 20
Then it doesn’t meet the requirements
Corral 4 :
(65×40)÷130 = 20
Then It meets the requirements
The lateral area of a cone is 9.81 in. The radius is 1.4 in. Find the slant height.
Answer:
As Per Provided Information
Lateral area of cone is 9.81 in Radius of cone is 1.4 inWe have been asked to determine the slant height of the cone .
Formula used to calculate the lateral area of a cone is
[tex] \boxed{\bf \: \purple{ Lateral \: Area _{(Cone)} \: = \pi\:rl}}[/tex]
here
l denote slant height
r denote radius
Substituting the value we obtain
[tex] \longrightarrow\tt \: 9.81 = 3.14 \times 1.4 \times l \\ \\ \\ \longrightarrow\tt \:9.81 = 4.396 \times l \\ \\ \\ \longrightarrow\tt \: \cfrac{9.81}{4.396} = l \\ \\ \\ \longrightarrow\tt \: \: l \: = \cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = \cancel\cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = 2.23 \:inch \: \: (approx)[/tex]
Therefore,
Slant height of the cone is 2.23 in .Xavier and Carlos have a bet to see who can get more “friends” on a social media side after 1 month. Carlos has 10 more friends than Xavier when they start the competition. After much work, Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends.
a. Write a system of equation that matches the verbal description given below if
c = number of Carlos’ friends and x = number of Xavier’s friends.
The system of equations that describes the situation is given by these two following equations:
c = 10 + x.2c + 3x = 160.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are c and x.
Carlos has 10 more friends than Xavier when they start the competition, hence:
c = 10 + x.
Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends, hence:
2c + 3x = 160.
More can be learned about a system of equations at https://brainly.com/question/24342899
HELPPPPPPPPPPPPPPPPPPPP
Answer:
I think the modes are: 20 ,18 and 19
Ben bought 4 pints of apple juice. he drinks 1/3 pint each day. how many days will the apple juice last ben?
Answer:
12 days
Step-by-step explanation:
25 POINTS! Omilia is making chapatis by mixing flour and water in the ratio of 1 : 3. She starts by mixing 2.5 cups of water with 4 cups of flour. How many more cups of water does she need?
Answer: Below
Step-by-step explanation:
We know that water must be three times flour, so our end goal is 12 cups of water, since 4 * 3 = 12.
We already have 2.5 and 4, so we make the equation:
2.5 + x = 12
Simplify.
x = 7.5
Our answer is 7.5
_7_ × _ = 744
fill in the blank using the digits from 0 to 9
Step-by-step explanation:
372×2
Hence fill In this order
3 2 2
Which is the BEST definition of dilation?
A. a transformation that either reduces or enlarges an object in the coordinate plane
B. a transformation that flips an object in the coordinate plane
C. a transformation that spins an object in the coordinate plane
D. a transformation that either slides or shifts an object in the coordinate plane
Answer:
A. a transformation that either reduces or enlarges an object in the coordinate plane
Step-by-step explanation:
The definition of dilation is the size of an object/shape by increasing/ decreasing its dimensions by scaling factors.
Dialtions do not flip and object, spin it, or slide it. It's dimensions are either enlarged, or reduced. Therefore, option A makes the most sense.
Will be deleted at 3:30
Answer:
240.73 mmStep-by-step explanation:
The hour hand is 20 mm and the minute hand is
200% of 20 mm = 2*20 mm = 40 mm longThe tip of the hour hand travels 1/12 of the circle and the tip of the minute hand travels full circle in one hour.
Find each length and their difference using circumference formula.
C = 2πrHour hand
1/12*(2*3.14*20) = 10.47 mm (rounded)Minute hand
2*3.14*40 = 251.2 mmThe difference between the two above
251.2 - 10.47 = 240.73 mmAnswer:
230.38 mm
Step-by-step explanation:
The distance traveled by the tip of the hands is (part of) the circumference of the circle with radius of the lengths of the hands.
[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]
Radii
Larger circle (minute hand):
r = 200% of 20 mm = 40 mmSmaller circle (hour hand):
r = 20 mmMinute Hand
The minute hand does a full rotation of the circle in one hour.
Therefore, the distance it travels in one hour is the complete circumference of a circle with radius 40 mm:
[tex]\begin{aligned} \implies \textsf{Distance minute hand travels} & = \sf 2 \pi (40)\\ & = \sf 80 \pi \: mm\end{aligned}[/tex]
Hour Hand
There are 12 numbers on a clock.
The hour hand travels from one number to the next in one hour.
Therefore, the distance it travels in one hour is 1/12th of the circumference of the circle:
[tex]\begin{aligned}\implies \sf \textsf{Distance hour hand travels} & =\left(\dfrac{1}{12}\right)2 \pi r\\ & = \sf \left(\dfrac{1}{12}\right)2 \pi (40)\\& = \sf \dfrac{20}{3}\pi \: mm \end{aligned}[/tex]
To find how much farther the tip of the minute hand moves than the tip of the hour hand, subtract the latter from the former:
[tex]\begin{aligned}\implies \textsf{distance} & = \textsf{minute hand distance}-\textsf{hour hand distance}\\& = \sf 80 \pi - \dfrac{20}{3} \pi \\& = \sf \dfrac{220}{3} \pi \\& = \sf 230.38\: mm \:(nearest\:hundredth) \end{aligned}[/tex]
What is the slope of the line shown in the graph?
(-2,2)
2
(0,1)
0-2
Answer:
= -0.5
Step-by-step explanation:
Slope:
(y2-y1/x2-x1)
Plug in:
(0,1), (-2,2)
2-1/-2-0
-1/2
= -0.5
Two numbers have a product of -36
They have a sum of -5
What are the two numbers?
Answer:
-9,4
Step-by-step explanation:
Express 34m,5cm,6mm in millimeters
Answer:
1- 34,000 Millimeters in 34 meters
2- 50 Millimeters in 5 Cm
3- 6mm is already in milimeter form
Step-by-step explanation:
1000 Millimeters are in 1 meter so 34,000 millimeters are in 34 meters
10 millimeters are in 1 CM, so 50 millimeters make up 5 cm
Answer:
34m=34x10³mm=34000mm
5cm=5x10mm=50mm
6mm=6mm
I need this answered real quick
Answer:
11x+60° =93
11x =93-60
x=33/11
x=3
z+93 = 180 (being angles in st. line)
z=180-93
z= 87
Answer:
x=3
z=87
Step-by-step explanation:
Using the vertical angles rule, we can set 11x+60=93, solve for x:
[tex]11x+60=93\\11x=33\\x=3[/tex]
Since two angles on a line add up to 180, we can find z by setting 180=z+93, solve for z:
[tex]180=93+z\\87=z[/tex]
Which term describes an idea or a feeling suggested by a word?
Answer: connotation
Step-by-step explanation: everything that a phrase or item implies: the comfort connotations that surrounded that old chair.
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP EXPLAIN TO ME IN WORDS!
QUESTION IN SCREENSHOT!
Also: hows your day going, how are you feeling?
Answer:
So, we can check step by step.
2x^2-7x+5=0
So, 2x^2-2x-5x+5=0 is correct
2x(x-1)=2x^2-2x, 5(x-1)=-5x + 5= 0, that step is correct
(I'll skip the next step)
2x-5=0,
2x=5
x=5/2, NOT 2/5
The other one is correct
Sorry if this seems a bit vague!
[tex]\\ \rm\Rrightarrow 2x^2-7x+5=0[/tex]
Split the middle term[tex]\\ \rm\Rrightarrow 2x^2-2x-5x+5=0[/tex]
Take common[tex]\\ \rm\Rrightarrow 2x(x-1)-5(x-1)=0[/tex]
Factor up[tex]\\ \rm\Rrightarrow (2x-5)(x-1)=0[/tex]
Find x[tex]\\ \rm\Rrightarrow x=5/2,1[/tex]
Lauren written 2/5 instead of 5/2
Let's verify once more
2x-5=02x=5x=5/2The average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7. What number is left out? B8 C 10 A 7 D 12
The left out number is 12 if the average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let's suppose the number of sum is x when mean is 8
[tex]\rm \dfrac{x}{5} = 8[/tex]
x = 40
Now one number is left out, mean become 7 let's suppose the sum is y.
[tex]\rm \dfrac{y}{4} = 7[/tex]
y = 28
So, the number = 40 - 28 = 12
Thus, the left out number is 12 if the average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.
Learn more about the mean here:
https://brainly.com/question/22871228
#SPJ1
To find the probability of two
independent events, you
their
probabilities.
A) add
B) subtract
C) multiply D) divide
Answer:
To find a probability Multiply two independent events.
A, B and C are points on the line 2x+y=8
DCE is a straight line.
AB:BC=2:1
EC:DC=1:2
Work out the ratio Area of triangle AEC : Area of triangle BCD
Give your answer in its simplest form.
The ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have line;
2x+y=8
x/4 + y/8 = 1
Coordinate for A(4, 0) and B(0, 8)
To find the coordinate C we will use external section formula:
Let (a, c) be a coordinate for C
AB : BC = 2:1
AC:BC = 3:1
[tex]\rm C(a, b) =( \dfrac{-4}{3-1}, \ \dfrac{24}{3-1})[/tex]
C(a, b) = (-2, 12)
Let coordinate for E(0, e) and for D(f, 0)
EC:DC=1:2 and C(-2, 12)
So after applying section formula, we will get:
E(0, -3) and D(0, 36)
Area of triangle AEC = (1/2)(7)(12) = 42 square units
Area of triangle BCD = (1/2)(28)(2) = 28 square units
ratio of area of triangle AEC : area of triangle BCD = 42:28
= 21:14
Thus, the ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ1
What is the measure of each angle in the circle?
60°
90°
30°
72°
Answer:
~Lord
The magnitude of the degree in a circle is. there are 5 angels in a circle
measure of each angle:
degree of circle ÷ numbers of angle360° ÷ 5 72°so measure of each angle is 72°
Step-by-step explanation:
As Per Provided Information
Number of sector in given circle is 5
As we know sum of all angles in a circle at centre is 360° .
Since number of sector is given and we are asked to find the measure of each angle in given circle .
[tex] \huge{ \boxed{\sf \: Angle_{(Circle)} = \cfrac{360}{ \: number \: of \: sector}}}[/tex]
Now put the value in above equation and we obtain
[tex] \longrightarrow\sf \: Angle_{(Circle)} = \cfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = \cancel \dfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = {72}^{ \circ} [/tex]
Therefore,
Measure of each angle is 72° .Helppp plssssss!!!!!!
What is the equation of the circle pictured?
Explain your reasoning.
Answer:
(x+2)^2 + (y-4)^2 = 4^2
Step-by-step explanation:
A circle is x^2 + y^2 = 1 , where r = 1
The radius of that circle looks to appear to be r = 4.
x^2 + y^2 = 4^2
Transition that circle origin from (0,0) to (-2,4)
The origin is (-2,4) which mean h = -2 left and k = 4 up.
(x-h)^2 + (y-k)^2 = 4^2
(x-(-2))^2 + (y-4)^2 =4^2
Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be
34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow
meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
1.65 m
30.4 m
34-55 m
Answer:
Step-by-step explanation:
The height of the tree to the nearest hundredth of a meter is 1.875 meters.
Given that:
Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow.
Let h be the height of khalil h = 1.65 , H be the tree height , L be the length of the tree's shadow L = 34.55 and l be the length of khalil shadow l = 30.4
Using equivalent ratios of heights:
h : H = l : L
H : 1.65 = 34.55 : 30.4
H/1.65 = 34.55/30.4
H = 34.55/30.4 * 1.65
on solving
H = 1.875 meters which is tree height
Therefore the height of the tree to the nearest hundredth of a meter is 1.875 meters.
Learn more about the height of the tree and shadow here:
https://brainly.com/question/17138922
#SPJ1
A shoebox has a volume of 64 in.³ and a surface area of 160 in.² what is the surface area of a similar shoe box if its volume is only 27 in.³ show your work or explain how you got your answer
Answer:
90 in²
shoebox:
volume = 64 in³surface area = 160 in²Another shoebox:
volume = 27 in³surface area = x in²====================
[tex]\sf (\dfrac{area1}{area2})^3 = (\dfrac{volume1}{volume2} )^2[/tex]
====================
[tex]\sf \hookrightarrow (\dfrac{x}{160})^3 = (\dfrac{27}{64} )^2[/tex]
[tex]\sf \hookrightarrow \dfrac{x^3}{160^3} = \dfrac{27^2}{64^2}[/tex]
[tex]\sf \hookrightarrow \ x^3 = \dfrac{729*4096000}{4096}[/tex]
[tex]\sf \hookrightarrow \ x^3 = 729000[/tex]
[tex]\sf \hookrightarrow \ x = \sqrt[3]{729000}[/tex]
[tex]\sf \hookrightarrow \ x = 90[/tex]
Need help on this question
Answer: 36 degrees
Step-by-step explanation:
One of the corners of a rectangle is shown.
A diagonal splits the corner into two angles.
20
Х.
Diagram not
drawn to scale
Work out the size of angle x.
Answer:
70 degrees
Step-by-step explanation:
rectange angle total = 360
1 corner = 90
90-20 = 70
Help!
just pick the right option thanks
Answer:
A:)
Step-by-step explanation:
l and lll
what is the slope of line QX? X(5,5) and Q(4,1)
Answer:
4
Step-by-step explanation:
[tex]slope = \frac{5 - 1}{5 - 4} \\ = \frac{4}{1} \\ = 4[/tex]
Answer: 4
Step-by-step explanation:
Slope is rise over run, which is the change in the y-values divided by the change in the x-values. Each point is given as a coordinate pair: (x,y).
For point Q (4,1) the y-value is 1 and the x-value is 4.
For point X (5,5), the y-value is 5 and the x-value is 5.
To find the slope, take the y-value for point X minus the y-value for point Q. That is the numerator of your slope. Then take the x-value for point X minus the x-value for point Q. That is the denominator of your slope.
The numerator divided by the denominator equals the slope.
(5-1)/(5-4) = (4)/(1) = 4
FOR 100 POINTS
The ratio of boys to girls in Janice’s classroom is 3:5, and there are a total of 32 students in the class. Using complete sentences, explain how you could draw a tape diagram to represent this situation. In your answer, make sure to include what quantity each bar represents.
Answer:
The answer is
→ 18:32
Step-by-step explanation:
The total number of students in the class is 32 students. 3 boys and 5 girls. But wait! Were not done yet.
Boys:
3 x 4 = 12
or
3 + 3 + 3 + 3 = 12
Girls:
4 + 4 + 4 + 4 + 4 = 20
or
4 x 5 = 20
20 + 12 = 32
Hope this helped! :^)
- ✨7272033Alt✨
Find the slope of the line that passes through the following points. (-3,0) (3, 2)
Answer:
slope: 1/3
Explanation:
[tex]\sf \boxed{\sf slope: \sf \frac{y_2-y_1}{x_2-x_1} }[/tex] where (x1, y1), (x2, y2)
Solve for slope:
insert values
[tex]\rightarrow \sf \dfrac{2-0}{3-(-3)}[/tex]
remove brackets
[tex]\rightarrow \sf \dfrac{2}{3+3}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{2}{6}[/tex]
final answer
[tex]\rightarrow \sf \dfrac{1}{3}[/tex]
Answer:
the slope of the line passing through (-3,0) (3,2) is 1/3
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run. m=change in y/change in x. The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). m=y2-y1/x2-x1. Substitute in the values of x and y into the equation to find the slope. m=2−(0)3−(−3)m=2-(0)3-(-3) Simplify. m=13