Explanation:
Draw out a rectangle and make sure it's not a square. So you could have it be longer than it is tall. Imagine rotating that rectangle 180 degrees. The before and after (preimage and image) will be identical. The same applies if we slanted the sides of this rectangle. This shows that any parallelogram has rotational symmetry.
Side note: any rectangle is a parallelogram, but not the other way around.
Ace pool company sells portable spas as shown. The inside diameter of the spa is 2.5 m and the depth is 1.5 m. The sides and the bottom are each 10 cm thick.
a) Calculate the total amount of vinyl required for the spa (on both the interior and exterior)"
Step-by-step explanation:
the area of :
1) inside surface = (3.14× 1.25²)+(3.14×2.5×1.5)
= 4.90625 + 11.775 = 16.68125 m²
2) upper side surface= (3.14 × (1.35²-1.25²))
= 3.14× (1.8225-1.5625)= 3.14×0.26=0.8164m²
3) lateral surface= 3.14×2.7×1.6=13.5648m²
the total amount of vinyl required for the spa =
16.68125+0.8164+13.5648 = 31.06245 m²
Write an equation of the line that contains
point (3,-1) and is parallel to the equation
y+3x=2.
Given that n(A) = 12, n(B) = 7
and n(AUB) = 10
Find n(AnB)
Pls show working
Answer:
n(A) + n(B) - n(AnB) = n(AUB)
12 + 7 - n(AnB) = 10
19 - n(AnB) = 10
19 - 10 = n(AnB)
n(AnB) = 9
Step-by-step explanation:
Step-by-step explanation:
n(A)=12
n(B)=7
n(AUB)=10
n(AnB)=?
let,n(AnB) be x
We know that,
or, n(AUB) = n(A)+n(B)-n(AUB)
or, 10 =12+7+x
or, 10 =19+x
or, 10-19=x
or,9=x
so, the value of x is 9
then (AnB)=9
How do you find theoretical probability?
(If you don’t mind, please add in some random numbers to help explain ;^; )
Step-by-step explanation:
Theoretical Probability DefinitionTheoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.
Find the probability of rolling a 5 on a fair dieSolution:
To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.
I hope it helps
What’s the volume? Pls help
Answer:
73 x 51 x 1/2(basically just dividing by 2) = 1861.5
1861.5 x 86(width) = 160,089 86 yd^3 is your answer.
Step-by-step explanation:
Formula of area of a triangle:
BH x 1/2
B(base) x H(height) x 1/2
verify that cscθ cosθ tanθ =1
Answer:
TO VERIFY :-
[tex]\csc \theta \times \cos \theta \times \tan \theta = 1[/tex]GENERAL TRIGONOMETRIC FORMULAES :-
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex].[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex]SOLUTION :-
L.H.S. =
[tex]\csc \theta \times \cos \theta \times \sin \theta[/tex]
[tex]=> \frac{1}{\sin \theta} \times \cos \theta \times \frac{\sin \theta}{\cos \theta}[/tex]
[tex]=> \frac{\sin \theta \times \cos \theta}{\sin \theta \times \cos \theta}[/tex]
[tex]=> 1[/tex]
R.H.S. = 1
∴ L.H.S. = R.H.S. (Proved)
Help!!
The results of a survey are represented in the two-way frequency table below. Complete the two-way frequency table.
Answer:
Female, E-Book=22
Male, Print=20
Total Female=44
Print total=42
Each day for two weeks, Howard recorded values for the following two
variables.
2
• s, the number of students ahead of him in the lunch line when he got in
line
• m, the number of minutes elapsed between when he got in line and when
he sat down to eat
He then plotted his data on a scatter plot, with the horizontal axis representing
s and the vertical axis representing m, and drew a line of best fit. The equation
of the line was m = S + 1.
According to the equation of the line, if there are 52 students ahead of Howard
when he gets in the lunch line, how many minutes should he expect it to take
before he sits down to eat?
Given statement solution is :- If there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.
According to the equation of the line given as "m = S + 1," where m represents the number of minutes elapsed and s represents the number of students ahead of Howard in the lunch line, we can substitute the value of s as 52 to find the expected number of minutes.
m = S + 1
m = 52 + 1
m = 53
Therefore, if there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.
For such more questions on Line Wait Time
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pls answer me this :(
Answer:
GIVEN :-
[tex]x = -\frac{1}{2}[/tex][tex]y = \frac{2}{4} = \frac{1}{2}[/tex][tex]z= -\frac{2}{8} = -\frac{1}{4}[/tex]TO VERIFY :-
[tex]x + (y + z) = (x + y) + z[/tex]SOLUTION :-
L.H.S. =
[tex]x+ (y + z)[/tex]
[tex]=> -\frac{1}{2} + (\frac{1}{2} + \frac{-1}{4} )[/tex]
[tex]=> -\frac{1}{2} + (\frac{2 - 1}{4} )[/tex]
[tex]=> -\frac{1}{2} + \frac{1}{4}[/tex]
[tex]=> \frac{-2 + 1}{4}[/tex]
[tex]=> -\frac{1}{4}[/tex]
R.H.S. =
[tex](-\frac{1}{2} + \frac{1}{2} ) + \frac{-1}{4}[/tex]
[tex]=> 0 - \frac{1}{4}[/tex]
[tex]=> -\frac{1}{4}[/tex]
∴ L.H.S. = R.H.S. (Verified)
Handy is making floor plan for a treehouse using a scale of 1 inch to 2 foot he wants to make the floor of the treehouse have a length of 8 foot how many inches should he show
Answer: [tex]4\ in.[/tex]
Step-by-step explanation:
Given
Handy uses a scale of 1 inch to 2 foot i.e. 1 inch of drawing represents 2 foot
For 8 foot length of tree house he draw x inch(say)
[tex]\therefore \ \dfrac{1\ \text{inch}}{2\ \text{foot}}=\dfrac{x}{8}\\\\\Rightarrow x=8\times \dfrac{1}{2}\\\Rightarrow x=4\ in.[/tex]
So, handy draw 4 inches.
A square has a triangular hole in it. What is the area of the figure?
85 in 2
100 in 2
92.5 in 2
70 in 2
Answer:
B. 10 x 10 = 100. 5 x 3 / 2 = 7.5. 100 - 7.5 = 92.5
Step-by-step explanation:
Find the domain of the relation.
{(6,3),(8,3),(4,-4),(4,0),(-2,-9)
Answer:
The domain is -2,4,6,8
Step-by-step explanation:
The domain is the input values
6,8,4,4,-2
We only need to write the repeat values once
The domain is -2,4,6,8
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Answer:
x = 10% saline solution = 190 mililiters
y = 60% saline solution = 10 mililiters
Step-by-step explanation:
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Let
x = 10% saline solution
y = 60% saline solution
x + y = 200
x = 200 - y
10% × x + 60% × y = 200 × 12.5 %
Hence:.0.1x + 0.6y = 25
Substituting 200 - y for x
0.1(200 - y) + 0.6y = 25
20 - 0.1y + 0.6y = 25
- 0.1y + 0.6y = 25 - 20
0.5y = 5
y = 5/0.5
y = 10 milliliters
Solving for x
x = 200 - y
x = 200 - 10
x = 190 mililiters
Which type of function is shown in the table below?
х
f(x)
1
-4
2
-6
3
-8
ܠܛ
-10
5
-12
Not a function
O Linear
Submit Answer
Exponential
Quadratic
The table represents a linear equation, y = - 2x - 2.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
From, The given table the list of ordered pairs are,
(1, - 4), (2, -6), (3, - 8), (4, - 10), and (5, - 12).
By observing the ordered pairs and patterns we can form an equation,
y = - 2x - 2.
If we put the values of 'x' the equation will satisfy the values of 'y'.
learn more about graphs here :
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please provide a solution its urgent
Can someone help me please
it's sideways take a better pic
Find the slope of a line that goes through (4, 5) and (3,8).
m =
Answer:
use formula y2-y1/x2-x1
Step-by-step explanation:
=8-5/3-4
=3/-1
=-3
Answer:
-3/1
Step-by-step explanation:
(3,8) 4,5)
5-8 divided into 4-3
-3/1
Mark the point (3,8) on the coordinate plan on graph paper. Then go 3 down,1 right, and you'll reach (4,5) (from left to right, from 3,8 to 4,5)
3 down means negative 3
1 right means positive 1
Kelly is making a rectangular garden that has a width of (2x + 3) and length of (2x - 4)
How much fertilizer would she need to lay down before she starts to
plant her flowers (area)?
PLEASE HELP
Cal uses the equation y = 2.92
+ 2.4 to model his data. Use this equation to make the
following predictions.
Enter a number in each space provided
After 25 weeks, Cal will have saved a total of $____
The least number of whole weeks Cal must save to have a total of $100 saved is ____
The midpoint of AB is M (-5,0). If the coordinates of A are (-3,3), what are the coordinates of B
Answer:
Step-by-step explanation:
Hope this helps u!!
The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry
Answer:
16 ft.
Step-by-step explanation:
Distance Formula:
A = (2,2)
B = (12,14)
So, sqrt(12^2 + 10^2) = 16 ft.
This is the same for B to C.
So, 16 ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
Use pythagorean theorem to find perimeter
Answer:
36
Step-by-step explanation:
Counting the squares: base = 12, height = 9.
We will use pythagorean theorem to find the third side.
Let it be x.
So,
[tex]x^2 = 12^2 + 9^2\\x^2 = 144 + 8 1 = 225\\x = 15[/tex]
Perimeter of triangle = sum lengths of all sides
= 12 + 9 + 15
= 36 units
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information:
the amount of plant food remaining in the container after each day’s feeding
the height of the plant over time
Ryan found that the amount of plant food remaining decreased an equal amount each day, and he used the entire 72 milliliters by the end of his study.Which statement is true about the relationship between the amount of plant food remaining and the number of days?
A:This relationship is a function because more than one amount of plant food remains each day.
B:This relationship is not a function because more than one amount of plant food remains each day.
C:This relationship is not a function because only one amount of plant food remains each day.
D:This relationship is a function because only one amount of plant food remains each day.
Answer:
B: This relationship is not a function because more than one amount of plant food remains each day
Step-by-step explanation:
It is given that Ryan did an experiment by observing the effects of plant food and the growth of the sprouting bean plant. He made a note of the height of the bean plant and the amount of food remaining in the container for the plant after feeding each day.
Thus he observed that the plant food in the container decreases by an equal amount everyday as the bean plant grew. Thus this states that it is not a function between the two as there are more than one plant food remaining each day for the plant.
A relationship is a function when one element belongs to one thing.
Reduce the following fraction to simplest terms 24/3 12/3
A: 1/8
B:1/2
C: 4
D: 16
I got 16
Answer:
The simplest form of the fraction 24/3 is:
8/1 and the simplest form of the fraction 12/3 is:
4/1
Step-by-step explanation:
Hope this helps!
Help out please and thank you
Answer:
x = -8
Step-by-step explanation:
x + 6y = 16
→ Substitute in y = 4
x + 24 = 16
→ Minus 24 from both sides
x = -8
Which number sentence is true?
8 – 4= 11 – 8
13 – 6 = 6-1
6 – 5 = 7 – 6
Done
Answer:
6-5 = 7-6
Step-by-step explanation:
hey! i’ll give brainliest please help
Line AB is perpendicular to line CB.
A(2,3), B(5,7) C(x,8)
What is the value of x to make this statement true?
Answer:
Step-by-step explanation:Hly/3fcEdSxere's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]
Answer:
a 2 and 3 step by step exolaniation
The width of a box is x units.
The height of a box is 3 units.
The length of a box is (x + 10) units.
Which expression represents the volume of the box, in cubic units, when x > 0?
Answer:
3x² + 30x
Step-by-step explanation:
width of a box = x units.
height of a box = 3 units.
length of a box = (x + 10) units.
Volume of the box = length × width × height
= (x + 10) * x * 3
= (x + 10) * 3x
= 3x² + 30x
Volume of the box = 3x² + 30x
Help me please, I have beeen trying to figure this out but I can’t
Answer:
M and N
Step-by-step explanation: