The area of the plate is 7850 square millimeters.
Important information:
Circumference of the plate is [tex]100\pi[/tex] millimeters.Area of circle:Circumference of a circle with radius [tex]r[/tex] is:
[tex]C=2\pi r[/tex]
[tex]100\pi=2\pi r[/tex]
[tex]\dfrac{100\pi}{2\pi}=r[/tex]
[tex]50=r[/tex]
The radius of the plate is 50 millimeters.
Now, the area of the plate is:
[tex]A=\pi r^2[/tex]
[tex]A=(3.14)(50)^2[/tex]
[tex]A=(3.14)(2500)[/tex]
[tex]A=7850[/tex]
Therefore, the area of the plate is 7850 square millimeters.
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6
The sun is at an angle of
elevation of 58º. A tree casts a
shadow 20 meters long on the
ground. How tall is the tree?
a) 71 m
b) 11 m
c) 17 m
d) 80 m
e) 32 m
Im not super sure but I'm pretty sure it's A. I'm sorry if I'm wrong but this was also a question I need the explanation for.
what is the factor of -12n - 20 ( 50pts!!!!!)
Answer:
-4(3n + 5)
Step-by-step explanation:
We want to factor the expression:
-12n - 20
Look at the two terms, which are -12n and -20. Obviously, they don't share an "n", but they do share another number.
Notice that -12 can be written as the product of -4 and 3: -12 = -4 * 3. Similarly, -20 can be written as the product of -4 and 5: -20 = -4 * 5. Since 3 and 5 are prime numbers, we know that -4 is the biggest factor that -12 and -20 share. So, let's factor that out of the expression:
-12n - 20 = -4 * [(-12n/-4) + (-20/-4)] = -4 * (3n + 5)
So, the factored form of this expression is -4(3n + 5).
Steps to factor:
-12n - 20
~Rewrite -12n
-4 * 3n
~Rewrite -20
-4 * 5
~Put together
-4 * 3n + -4 * 5
~Factor out -4
-4(3n + 5)
Best of Luck!
someone please answer this for me! it’s timed
Answer:
151 degrees
Step-by-step explanation:180 - 29=151
Find the area of the shape shown below.
3.5,2,2,2,2,5
Answer:
26.75
Step-by-step explanation:
It is 26.75 because if you split the traingle in half from the bottom to the top you look to find the area of each shape, so the sqaure has a measure of 2 by 2 so that is four then the smaller triangle has a measure of 2 by 2 but the formula for triangles are length times height divided by 2 and the area for that is 2. Then the other smaller triangle is 5 * 2 which is 10 then divide it by 2 so it is 5 so all together it is 9. then the area of the biggest triangle is 15.75
Answer:
26.75
Step-by-step explanation:
got it off khan
Find the area? Please help
Answer:
6.285
Step-by-step explanation:
π·22≈12.56637 divided by 2 (half) is 6.285
Answer:
12.56 units squared
Step-by-step explanation:
find the area of the whole circle:
formula for this is: pi multiplied by the radius which is squared.
The math for this is Below
3.14 x 2 squared
2 squared is 4
so 4 times 3.14 which is 12.56
A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is then released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
Find a sinusoidal function for the height h(t).
For how many seconds is the height of the mass above 17 mm over one cycle?
Answer:
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
Step-by-step explanation:
Do 1,2 for 5-8 points.
Answer:
15 +16 +17
21+23+25
Step-by-step explanation:
Solve the equation 3(x + 4.5) = 36. If you get stuck, use the diagram.
What is the solution x =
Answer:
x = 7.5
Step-by-step explanation:
Answer:
X is 7.5
Step-by-step explanation:
36 ÷ by 3 = 12
12 - 4.5 =7.5
Therefore X is 7.5.
Hope this Helps!
What is cumulative frequency
Explanation:
Cumulative frequency analysis is the analysis of the frequency of occurrence of values of a phenomenon less than a reference value. The phenomenon may be time- or space-dependent. Cumulative frequency is also called frequency of non-exceedance.
Cumulative frequency is defined as a running total of frequencies. The frequency of an element in a set refers to how many of that element there are in the set. Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.
The average cost c (in dollars) to manufacture x t-shirts is given by the function c=7x+325x. Express the number of t-shirts in terms of the average cost. X=
Answer:
[tex]x=\dfrac{325}{c-7}[/tex]
Step-by-step explanation:
The average cost c (in dollars) to manufacture x t-shirts is given by the function:
[tex]c=\dfrac{7x+325}{x}[/tex]
We are required to express the number of t-shirts in terms of the average cost.
First, we cross multiply
cx=7x+325
Bring the terms containing x to the left hand side
cx-7x=325
Factorize out x
x(c-7)=325
Divide both sides by c-7
[tex]x=\dfrac{325}{c-7}[/tex]
Therefore, the number of t-shirts, x in terms of the average cost, c is:
[tex]x=\dfrac{325}{c-7}[/tex]
Mr. Wilson bought a bag of bird seed and put half of it in the bird feeder.He split the other half equally among his 4 parrot birds how much of the bag did each pet bird eat
Answer:
Each parrot Bird ate 1/8 of a bag
Step-by-step explanation:
Here, we are interested in calculating the portion of the bag eaten by each of the pet birds
Firstly, we know he put 1/2 in the feeder, the amount not put in the feeder = 1-1/2 = 1/2 bag
Now this 1/2 bag was shared amongst 4 parrot birds, amount eaten by each of the parrot birds = 1/2 divided by 4 = 1/8 of the bag
If £2000 is placed info a bank account that pays 3% compound interest per year, How much will be in the account after 2 years?
(Giving brainliest)
Answer:
1880
Step-by-step explanation:
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?
Answer: 6%
Step-by-step explanation:
Principal= $1875
Time= 10 years
Interest= $1125
Rate = Unknown
Recall that,
Interest= (Principal×Rate×Time)/100
I = PRT/100
100I = PRT
R= (100×I)/PT
Rate = (100 × 1125)/(1875 × 10)
Rate = 112500/18750
Rate= 6%
The rate is 6%
More than one quarter of The Netherlands lies below sea level. Lucas visits a museum located at an elevation of 7 m and bicycles to the neighborhood of Purmerend which has an elevation of -16 m. Which integer represents his change in elevation for the trip.
0 m
-23 m
-9 m
9 m
The volume of a cube depends on the length of its sides. This can be written
in function notation as (s). What is the best interpretation of (4) = 64?
In this figure, the distance from A to B is 10 units. What else is true?
Answer:
The distance from A to C is also 10 units.
Step-by-step explanation:
:)
Monique bought a shirt for $22.80 during a 30% off sale. How much does the shirt cost when it is not on sale?
Answer:
29.64
Step-by-step explanation:
First we multiply 0.3 with 22.8.This will give us 6.84 which is the 30% off.Now we add 22.80 and 6.84 and we will get our answer 29.64.
Answer:
22.80/100% ?/30%
Step-by-step explanation:
100/10=10*3= 30 %
22.8/10=2.28*3=6.84
22.80-6.84=15.96
$ 15.96 But with out the discount it cost and adding 30 % to the price it will be $29.64.
I kinda did something wrong that i didn't notice.
Helpp plsss!!!! I've to submit ASAP
A dilation centered at the origin maps the point (1,3) to the point (4,12). What is the scale factor of the dilation?
Answer:
4
Step-by-step explanation:
4,12
1,3
4/12=4
12/3=4
The point (1,3) is mapped to the point by a dilation with the origin as the center. The dilation's scale factor is 4.
Explain about the Dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.
Finding the dilation's centre point is the first step in determining the scale factor. Next, we measure the distances between the centre point and various points on the preimage and the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.
The basic formula to find the scale factor of a dilated figure is: Scale factor is equal to the difference between the dimensions of the old and new shapes.
= 4,12
= 1,3
= 4/12 =4
= 12/3 =4
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It’s multiple choice
Answer: [tex]r^\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\sqrt[44]{\frac{r^5}{r^-^6} }[/tex]
When dividing by the same base (r) subtract exponents.
[tex]\sqrt[44]{r^5^-^(^-^6^)}[/tex]
[tex]\sqrt[44]{r^5^+^6}[/tex]
[tex]\sqrt[44]{r^1^1}[/tex]
A property of the roots say:
[tex]\sqrt[n]{x^m}=x^\frac{m}{n}[/tex]
Therefore;
[tex]\sqrt[44]{r^1^1}=r^\frac{11}{44}=r^\frac{1}{4}[/tex]
please help will mark brainly
Answer:
1 hour and 5 minutes
Step-by-step explanation:
Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes
Find the surface area of the prism. Write your answer as a decimal.
Answer:
382.5 in²
Step-by-step explanation:
2 triangles + 3 lateral sides
2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)
90 + 90 + 81 + 121.5
382.5 in²
Answer:
[tex]382.5 {in}^{3} [/tex]
Step-by-step explanation:
hope this helps
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 10 buses with 258 students. High School B rented and filled 8 vans and 5 buses with 264 students. Each van and each bus carried the same number of students.How many students can a van carry? How many students can a bus carry?
Answer:
The van holds 18 students
The bus holds 24 students
Step-by-step explanation:
v = van b = bus
High School A
1v+10b = 258
High School B
8v+5b = 264
Multiply the second equation by -2
-16v - 10b = -528
Add this to the first equation
-16v - 10b = -528
1v+10b = 258
---------------------------
-15v = -270
Divide each side by -15
-15v/-15 = -270/-15
v =18
The van holds 18 students
Now we need to find the number the bus holds
1v+10b = 258
18 + 10b = 258
Subtract 18 from each side
18-18+10b = 258-18
10b=240
Divide each side by 10
10b/10 =240/10
b = 24
The bus holds 24
Answer:
Van: 18
Bus: 24
Step-by-step explanation:
V + 10B = 258
V = 258 - 10B
8V + 5B = 264
8(258 - 10B) + 5B = 264
2064 - 80B + 5B = 264
75B = 1800
B = 24
V = 258 - 10(24) = 18
Factor the trinomial
The factors of m^2+12m+35 are ____ and ____
Raheem found a worm that was 9 centimeters long what is the length of the worm in in millimeters? Just answer the question in number form do not add millimeters when adding your answer
Answer:
90
Step-by-step explanation:
When converting from centimetres to millimetres you must multiply by ten. 9cm x 10 = 90mmsolve 2x + 26=2 [5-3x]
Step-by-step explanation:
2x+26=2(5-3x)
2x+26=10-6x
combination of like terms
2x+6x=10-26
8x= -16
x= -16/8
x= -2
The school that Eduardo goes to is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and student tickets for a foral of . The school took in $190 on the second day by selling 14 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
Answer:
Is there anything else to the question like a equation?
Step-by-step explanation:
HELP ASAP PLS HELP PLSSSS
Answer 12.69
Step-by-step explanation:
Answer:
12.65 units
Step-by-step explanation:
I NEED HELP FAST, 20 POINTS
Which of the following fractions is not equivalent to 2?
1 4/4
10/5
3/6
2/1
Answer:
The 1st one 1 4/4 and the 3rd one 3/6
Step-by-step explanation:
10/5=2
2/1=2
WILL MARK BRAINLEST IF RIGHT.
Answer: 49.39
Step-by-step explanation:
Answer:
49.32
Step-by-step explanation:
