Answers
Answer:
Step-by-step explanation:
In rectangle, the diagonals are equal bisect each other.
⇒ OA = OB
⇒ΔAOB is an isosceles triangle.
In ΔAOB,
x + x + 120 = 180°
2x + 120 = 180
2x = 180 -120
2x = 60
x = 30°
In ΔABD
∠A + ∠ABD ∠BDA = 180
90 + 30 + ∠BDA = 180
∠BDA = 180 - 90 -30 = 60°
ΔABD is 30 - 60 - 90 triangle.
The ratio of sides of 30-60-90 triangle is x : x√3 : 2x
x →shortest leg which is opposite ot 30°
∵ x = AD = 20
x√3 → longest leg which is opposite to 60°
x√3 ( AB) = 20*1.732
AB = 34.64
Area of rectangle = length * width
= 34.64 *20
= 692.8
≈ 693 square units
Related Questions
Adult panda weights are normally distributed with a mean of 200 pounds and a standard deviation of 20 pounds. The largest pandas weigh over 250 pounds.
Approximately what percent of the adult pandas weight over 250 pounds?
0.62%
98.61%
1.39%
98.38%
Answers
0.62% of the adult pandas weight over 250 pounds
What is z score?
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
Given mean of 200 pounds and a standard deviation of 20 pounds.
For x > 250 pounds:
z = (250 - 200) / 20 = 2.5
P(z > 2.5) = 1 - P(z < 2.5) = 1 - 0.9938 = 0.62%
0.62% of the adult pandas weight over 250 pounds
Find out more on z score at: https://brainly.com/question/25638875
Find angle hif angle 46
Answers
Answer:
Step-by-step explanation:
According to the calculator, by year 10, the majority of demarco and tanya’s payment will go toward the . by year 20, the majority of demarco and tanya’s payment will go toward the . over time, the amount paid toward the principal will .
Answers
The correct options are interest, principal, increase.
According to the calculator, by year 10, the majority of demarco and Tanya’s payments will go toward the. by year 20, the majority of demarco and tanya’s payments will go toward the.
over time, the amount paid toward the principal will.
1. interest
What is the meaning of interest?Interest is a fee paid for borrowing money or other assets
2. principal
3. increase
Therefore the correct options are interest,principal,increase
To learn more about the amount paid visit:
https://brainly.com/question/26670496
According to the calculator, by year 10, the majority of Demarco and Tanya’s payment will go toward the
✔ interest
.
By year 20, the majority of Demarco and Tanya’s payment will go toward the
✔ principal
.
Over time, the amount paid toward the principal will
✔ increase
.
i need help ASAP worth 100Pts
Answers
#b
Attached
#a
y=x²y=2(x-2)²+1So
General equation of parabola
y=a(x-h)²+klet's note the changes
The value of a is changed from 1 to 2 ,hence change in focus .x² is turned to (x-2)² ,hence change in x axis (2 units right)+1 is added hence the y coordinate of vertex goes 1 units up .Vertex of first one is at (0,0) but second one is at (2,1)Answer:
Transformation of f(x) to g(x):
Translation of 2 units rightVertical stretch by a factor of 2Translation of 1 unit up(see attachment for graphs)
Step-by-step explanation:
Translations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\!\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
Parent function:
[tex]f(x)=x^2[/tex]
Translated 2 units to the right:
[tex]\implies f(x-2)=(x-2)^2[/tex]
Stretched vertically by a factor of 2:
[tex]\implies 2f(x-2)=2(x-2)^2[/tex]
Translated 1 unit up:
[tex]\implies 2f(x-2)+1=2(x-2)^2+1[/tex]
Therefore, the transformation of f(x) to g(x) is:
Translation of 2 units rightVertical stretch by a factor of 2Translation of 1 unit upLearn more about translations here:
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What is the value of x in the equation −25x−2=18?
Answers
Answer:
x = -0.8
Step-by-step explanation:
-25x - 2 = 18
-25x -2 - 2 = 18 - 2
-25x = 16
-25x/-25 = 16/-25
x = -0.8
Answer:x=4/5
Step-by-step explanation: First you add two to both sides to cancel out the -2.Next you simplify and add the numbers.Finally, you divide both sides and simplify.
28
A principal gathered data about the distance, in miles, that his teachers and bus drivers
live from the school. The box plots below show these data.
DISTANCE FROM THE SCHOOL
Bus Drivers
Teachers
10 15 20 25 30 35 40
Distance from School (miles)
Based on the box plots, which statement is true?
A
The interquartile range of the distances for the bus drivers is twice the
interquartile range of the distances for the teachers.
B
The range of the distances for the teachers is twice the range of the distances for
the bus drivers.
The interquartile range
of the distances for the bus drivers is 5 miles less than the
C
interquartile range of the distances for the teachers.
D
The range of the distances for the teachers is 5 miles less than the range of
the
distances for the bus drivers.
Answers
[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]
C
Answer: C. The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.
aye what is 2x3x5/7x8
Answers
Answer:
.5357
Step-by-step explanation:
Follow PEMDAS
Multiplication (M) comes before division (D)
Therefore, solve the multiplication expressions first:
2 * 3 * 5 = 30
and
7 * 8 = 56
Now Division:
30 / 56 = .5357
help please fast!!!!!!!!
Answers
Answer:
Step-by-step explanation:
If there is only ONE output for each INPUT it can be a function
From top
Y N Y Y N Y
b) look at the second one
put in 30 days out put = april jun aug nov one input 4 outputs
so it is not a function
Trees that are cut down and stripped of their branches for timber are
approximately cylindrical. A timber company specializes in a certain type
of tree that has a typical diameter of 50 cm and a typical height of about
10 meters. The density of the wood is 380 kilograms per cubic meter, and
the wood can be sold by mass at a rate of $4. 75 per kilogram. Determine
and state the minimum number of whole trees that must be sold to raise
at least $75,000. *
Answers
From the calculations, the number of whole trees that can be sold at $75,000 is 21 trees.
What is density?Density is defined a the mass per unit volume. Now we have the following;
Diameter = 50 cm or 0.5 m
height = 10 meters
volume = ?
Density of the cylinder = 380 Kg/m^3
Now;
We can get the volume from;
V = πr^2h
V = 3.142 * (0.5/2)^2 * 10
V = 1.96m^3
From;
D = m/V
m = DV
m = 1.96m^3 * 380 Kg/m^3
m = 744.8 Kg
If 1 Kg of wood is sold at $4. 75
744.8 Kg is sold at 744.8 Kg * $4. 75/ 1 Kg
= $3537.8
Number of whole trees to be sold at $75,000= $75,000/$3537.8
= 21 trees
Learn more about density:https://brainly.com/question/15164682
Janny went to the library at 3:45pm and left at 7:45 pm. How long was she at the library?
Answers
went at 3:45 PM
left at 7:45 PM
to find:the duration she was at the library.
solution:( to find the duration just find the difference of the time she left and she went.
= 4 hours
so, she was at the library for 4 hours.
100 POINTS AND BRAINLIEST!!!! SHOW YOUR WORK!!!!!!!!
Solve for x to the nearest tenth.
Answers
Answer:
I got x= 57 degree
Step-by-step explanation:
Steps in the photo-
Answer:
57 degree
Step-by-step explanation:
Like what he said.
The teacher of a seventh-grade class flipped a coin 100 times. The students recorded the results in the table shown below:
Side of Coin Landed On Heads Tails
Number of Flips 54 46
Which of the following best describes the experimental probability of getting heads?
The experimental probability is the same as the theoretical probability.
The experimental probability is 4% lower than the theoretical probability.
The experimental probability is 4% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.
Answers
Answer: Answer: Third option is correct.
Step-by-step explanation: Step-by-step explanation:
Since we have given that
Number of heads = 56
Number of tails = 44
Total number of flips = 100
So, Probability of getting head is given by
Theoretical probability of getting head is given by
There is a difference of
0.54-0.50=0.04 = 4%
Hence, the experimental probability is 4% higher than the theoretical probability.
Therefore, Third option is correct.
Answer:
The experimental probability is 4% lower than the theoretical probability.
Step-by-step explanation:
because i took this before and got it right
Akira's dog will be having four puppies. Akira performs a
simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy
The results of the simulation are:
1. THHT 6. HHHT
2. HTHH 7. HHTT
3. HTTH 8. THTH
4. TTTH 9. HHTT
5. TTTH 10. HTHH
What is the estimated probability that at least two of the puppies will be
female?
Answers
Answer:
u didnt put the anwsers but its 80% percent now can i have brainliest pls ty
Step-by-step explanation:
Della bout a tree seedling that was two and one 4th feet tall during the first year it grew one and 16 feet after two years it was 5 feet tall how much did see thing go during the second year
Answers
Answer:
sorry i'm having an exam and its rlly hard so i'm looking for answers myself
Step-by-step explanation:
...
hope it helps
the answer is
Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket. How much money did each boy have left after buying his ticket?
A. Draw a bar diagram that represents the situation.
B. Write and solve an equation that represents the situation.
C. Explain how you solved your equation.
D. Compare the arithmetic solution and the algebraic solution.
Answers
I might be wrong
Answer number 9 pleaseeee
Answers
Answer:
No 9.
[tex]120 \: \times \frac{5}{100} [/tex]
2 A cone has a volume of 1086 and a base diameter of 12. What is the height of the cone? (1) 27 (3) 3 (2) 9 (4) 4
Answers
well, if its base has a diameter of 12, that means its radius is half that, or 6.
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ V=1086 \end{cases}\implies 1086=\cfrac{\pi (6)^2 h}{3}\implies 3528=36\pi h \\\\\\ \cfrac{3528}{36\pi }=h\implies 31.19\approx h[/tex]
Learning task 1: Conduct a survey of the favorite fruit of your classmates and/or friends 10 boys and 10 girls by sending a message on messenger or sms use the table to record the data.
help me pls
nonsense=report
nice answer=brainles
pls dont waste my points
Answers
1. Type of favourite fruits
The rest you need the data for .
Two airplanes leave the airport. Plane A departs at a 41° angle from the runway, and plane B departs at a 43° angle from the runway. Which plane was farther away from the airport when it was 5 miles from the ground? Round the solutions to the nearest hundredth.
Question 9 options:
Plane A because it was 20.71 miles away
Plane A because it was 27.43 miles away
Plane B because it was 16.79 miles away
Plane B because it was 26.39 miles away
Answers
Answer:
Plane A because it was 27.43 miles away
Step-by-step explanation:
~Kandy~
hope this helped!
brainliest please!
lol, just answered my own question.
One angle of a triangle is twice the second angle. The third angle is three times the second angle. Find each angle
Answers
Angle two is 40 degrees
Angle three is 120 degrees
And the angles add up to 180 degrees the amount needed to create a triangle. Your welcome :)
What is the equation of the line that passes
through the point (3, 1) and the point (6,-1)?
Answers
Answer:
C.
Step-by-step explanation:
Hope this helped!
If a person who is 5. 5 feet tall throws a baseball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
x y
0 5. 5
1 7. 35
2 8. 9
3 10. 15
4 11. 1
5 11. 75
Which quadratic equation models the data in the table?
y= −0. 25x2 + 2x + 5. 5
y= −0. 35x2 + 2x + 5. 5
y= −0. 27x2 + 3x + 5. 5
y= −0. 15x2 + 2x + 5. 5
Answers
The data in the table is an illustration of a quadratic equation, and the quadratic equation that models the data is (d) y = -0.15x² + 2x + 5.5
How to determine the quadratic model?A quadratic model is represented as:
y = ax² + bx + c
Using the point (x,y) = (0,5.5);
We have:
a(0)² + b(0) + c = 5.5
This gives
c = 5.5
Substitute c = 5.5 in y = ax² + bx + c
y = ax² + bx + 5.5
Using the point (x,y) = (1,7.35);
We have:
a(1)² + b(1) + 5.5 = 7.35
This gives
a + b + 5.5 = 7.35
Subtract 5.5 from both sides
a + b = 1.85
Using the point (x,y) = (2, 8.9);
We have:
a(2)² + b(2) + 5.5 = 8.9
This gives
4a + 2b + 5.5 = 8.9
Subtract 5.5 from both sides
4a + 2b = 3.4
Divide through by 2
2a + b = 1.7
Subtract a + b = 1.85 from 2a + b = 1.7
2a - a + b - b = 1.7 - 1.85
This gives
a = -0.15
Substitute a = -0.15 in 2a + b = 1.7
-2 * 0.15 + b = 1.7
This gives
-0.3 + b = 1.7
Add 0.3 to both sides
b = 2
Substitute a = -0.15 and b = 2 in y = ax² + bx + 5.5
y = -0.15x² + 2x + 5.5
Hence, the quadratic equation that models the data in the table is (d) y = -0.15x² + 2x + 5.5
Read more about quadratic equations at:
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#SPJ1
SOMEONE HELP I NEED THE WHOLE ANSWER WITH WORK FOR TONIGHT
Answers
Answer:
325 or 325/1
Step-by-step explanation:
The formula for slope is:
y1 - y2/x1 - x2
Plugging the numbers in gives you:
40 - 690/0-2
Do subtraction first:
-650/-2
Two negatives make a positive and simplifying the fraction gives you:
325 or 325/1
Whichever makes you happier
(Also, remember that slope is rise/run, which is why it is y/x not the other way around(When graphing you go left/right then up/down))
Hope this helps you :)
Rosa earns $120 per week tutoring math. Each week, she puts 36$ from her paycheck in a bank account to save for college. Find the amount Rosa saves out of $100.
Answers
Answer:
30
Step-by-step explanation:
You can do 36*100=3600 and do 3600/120. This is a very simple way to get 30 out of 100
Answer: $30
Step-by-step explanation: If she saves $36 when she earns $120, then she saves *amount =36/120 ×100
Amount saved with $100 earning is $30
What is the greatest common factor of 722 and 18?
Answers
Answer:
3 hope it helps
2
Solution:The greatest common factor, or GCF, of 722 and 18 is 2.Why? Because 722 and 18 are evenly divisible by 2.722 is not evenly divisible by 3, 6, 9, or 18 (the other factors of 18, except 1, which is a factor of all numbers).Therefore, the GCF is 2.Hope it helps.
Do comment if you have any query.
:) Which division problem is modeled by the picture? A) 30 + 7 = 4 with a remainder of 2 B) 30 + 4 = 4 with a remainder of 2 C 30 + 2 = 7 with a remainder of 4 D) 30 = 4 = 2 with a remainder of 7
Answers
find the area of the triangle. please show all the work.
Answers
Looks like an equilateral triangle, so base and height are the same.
I guess 4 root3 is half of the height? so full height will be twice that, otherwise not enough information is provided.
2* 4 root3 = 8root3
A = 1/2 * 8 root3 * 8 root3
A= 1/2 * 192
A = 96, if my assumptions are correct from that picture.
Answer:
Step-by-step explanation:
If triangle equilateral, then h = 3 × 4√3 = 12√3
If side of triangle is "x" , then length of the base is
x² - ( [tex]\frac{x}{2}[/tex] )² = ( 4√3 )²
4x² - x² = 192
x² = 64
x = 8
[tex]A_{triangle}[/tex] = 8 × 12√3 = 96√3
Which best describes the resulting three-dimensional figure? a cone with a base radius of 26 cm a cone with a base radius of 14 cm a cylinder with a base radius of 26 cm a cylinder with a base radius of 14 cm
Answers
The best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.
What is solid of revolution?When a figure is revolved around some fixed axis, the whole three dimensional solid formed from the area that it swaps out is called solid of revolution.
Since no image is specified, we will work on the image attached below.
We can visualize and imagine that the horizontal line is still and just rotating on its place. The rectangle will revolve around, and therefore will swap out a cylindrical shape.
Since the length of the rectangle is 24 cm, and it is rotated on its length, so that will serve as height of the formed cylinder.
Thus, the best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.
Learn more about solid of revolution here:
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The frequency table shows the ages of the actors
in a youth theater group. What percent of the
actors are 10 to 12 years old?
Answers
The percentage of youth that are category 10 to 12 is the quotient of their frequency to the total frequency
55% of the actors are 10 to 12 years old
How to determine the percentage?From the complete question, we have the following parameters
Age 10 - 12 = 22 youthsTotal youth = 40The percentage of youth in the age category 10 - 12 is then calculated as:
Percentage = Frequency of age category 10 - 12/Total frequency
This gives
Percentage = 22/40
Evaluate the quotient
Percentage = 55%
Hence, 55% of the actors are 10 to 12 years old
Read more about frequency tables at:
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An arts and crafts store has a crate that contains glass, wood, and brass beads
Answers
Answer:
You're going to need more to this question
Step-by-step explanation:
what is the rest of it