Answer:
The perimeter of the track is of 317 meters.
Step-by-step explanation:
Perimeter:
The perimeter of a figure is the sum of all its dimensions.
In this question:
The track is composed by two straights of 80m, and two half circles with a diameter of 50m.
Perimeter of a circle:
The perimeter of a circle with diameter d is of:
[tex]P = \pi d[/tex]
Track:
Two half circles, each with a diameter of 50m, plus two straight lines of 80m. So
[tex]P = \frac{2\pi}{2}(50) + 2*80) = 50\pi + 160 = 50*3.14 + 160 = 317[/tex]
The perimeter of the track is of 317 meters.
In the box below, enter the value that is missing from the table.
170 is the answer
Given ,
520 = 0
.°.
420 = 520-100
320 = 520-200
?= 520-350 = 1700 = 520-520
Mark the relation
f(0)=520f(100)=520-100=420f(200)=520-200=320Similarly
f(350)=520-350=170Zach puts $1000 in a savings account earning 5% simple interest for five years how much interest has he earned at the end of the five years
Answer:
$250
Step-by-step explanation:
The formula for simple interest is I = PRT, where I= interest earned or paid, P = principal deposited or borrowed, R = interest rate as a decimal, and T = time in years.
I = PRT
I = (1000)(0.05)(5)
I = 250
Ratio of the ages of three children is 2:5:1. The sum of their ages is 32 years. Find the ages of the youngest and the eldest
child.
Answer:the ages of the youngest and the eldest is 4 years and 20 Years respectively
Step-by-step explanation:
Ratio of the ages of three children is 2:5:1.
Total ratio =2+5+1=8
So that
the 1st Child's age =2/8 x 32=8 years
2nd Child's age =5/8 x 32= 20 years
3rd Child's age =1/8 x 32= 4 years
Therefore the ages of the youngest and the eldest is 4 years and 20 Years respectively.
Plz help this if you want points
Answer:
First Question:
A) -15+20x B) 36x+28
Second Question:
-10/5, 1/25, 1/2, 3/5, 5/8
A truck has a trailer that has a length of 20 feet, a width of 8 feet, and a height of 12 feet. What is the volume of the trailer?
Answer:
1920
Step-by-step explanation:
20*8*12=1920
Which situation can be represented by -85+85 choose all that apply
Plz help!!!
Which equation represents the graph?
Answer:
Option C : y=|x|-6
Step-by-step explanation:
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility. y = e^(x-1), y=0, x=1, x=2
Answer:
the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
[tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
Step-by-step explanation:
Given the data in the question;
y = [tex]y = e^{(x - 1 )[/tex], y = 0, x = 1, x = 2.
Now, using the integration capabilities of a graphing utility
y = [tex]y = e_2}^{(x - 1 )_[/tex], y = 0
Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2} - (0)^2 dx[/tex]
Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2 dx[/tex]
Volume = [tex]\pi \int\limits^2_1 e^{2x-2}dx[/tex]
Volume = [tex]\frac{\pi }{e^2} \int\limits^2_1 e^{2x}dx[/tex]
Volume = [tex]\frac{\pi }{e^2} [\frac{e^{2x}}{2}]^2_1[/tex]
Volume = [tex]\frac{\pi }{2e^2} [e^4 - e^2 ][/tex]
Volume = [tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
[tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
There are 165 deer in a state park. The population is increasing at the rate of 12% per year. Enter a prediction for how long it will take the population to reach 300. If necessary, round your answer to the nearest tenth.
The deer population will reach 300 in approximately _____
years.
If anyone could help I would be so happy!
Answer: well i cant help... so dont be happy! :)
I need help on Section 5- Topic 10 Algebra Nation, Algebra 1 Practice book. If anyone could give me answers to the questions, I will be extremely thankful!
Step-by-step explanation:
Just post a pic of the page
The product of 4 and triple the number 2
Answer:
32
Step-by-step explanation:
4 x 2 x 2 x 2 = 32
PLEASE HELP WITH ALGEBRA
Answer:
log 7
Step-by-step explanation:
[tex]log (a)+log6=log(ab)\\\\[/tex]
[tex]log(c)-log(d)=log(c/d)[/tex]
---------------------------------
hope it helps...
have a great day!!
Create a proportion for each set of similar triangles. Then solve the missing parts
Answer:
?=24
Step-by-step explanation:
12=?
13 26
solve for ?
There are 58 students in a classroom with 7
tables. If 8 students can sit at a table, how
many students cannot sit down at tables?
8x7=56, so 56 students can sit at a table, 58-56=2 students without a table.
Your answer would be 2.
Answer:
2 students cannot sit down at tables.
Step-by-step explanation:
Since there are a total of 58 students and only 7 tables and each table can only fit 8 students, you'll need to calculate how many students can sit at 7 tables first:
7(8) = 56 So, with 8 students sitting at all 7 tables, there are 56 students that can sit at a table.
To find how many students can't sit at a table you'll have to subtract 56 from 58,
58-56 = 2 So, 2 students will not be able to sit down at tables.
PLEASE HELP ANWSER ASAP PLEASE ILL GIVE BRAINLIEST!!!!
Answer:
3.5944
Step-by-step explanation:
first the fraction is mixed and you need to change the fraction to proper or improper fraction
the denominator 4 is multiply 16
16×4=64
then the numerator 3 is add to 64
64+3=67
the fraction will be
=====67/4
the denominator is not change from the first part
》》do the same thing by the other mixed fraction
the final answer would be 3.5944
first calculate 67÷4=16.75
the second calculate 14÷3=4.66
in the second part i get 14/3 that means i change the mixed fraction to the normal fraction
calculate 16.75÷4.66=3.5944
Which expression best matches the statement:
Twelve less than the product of three and a number.
12 - 3n
3n - 12
3 + 7 - 12
12 - 3 + n
Answer: 3n - 12
Product means multiplication. So the 3 and n are being multiplied. If 12 is less than, then that means it is being subtracted from 3n, not the other way around.
Describe and correct the error in finding the distance between the points (−3 −2) and (7 4)
Answer:
[tex]2\sqrt{34}[/tex] ≈ 11.6619
Step-by-step explanation:
Answer: 6 units Step-by-step explanation: Use the distance formula, [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]. Plug the x and y values from the given points into the distance formula:
[tex]\sqrt{(7-[-3])^{2}+(4-[-2])^{2}}[/tex]
Simplify:
[tex]2\sqrt{34}[/tex] ≈ 11.6619
If this is what you wanted, please consider marking my answer as the Brainliest.
Thank you!
The distance between two coordinate points is 11.66 units.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
The given coordinate points are (-3, -2) and (7, 4)
Substitute (x₁, y₁) =(-3, -2) and (x₂, y₂)=(7, 4) in distance formula, we get
Distance = √[(7+3)²+(4+2)²]
= √(100+36)
= √136
= 11.66 units
Therefore, the distance between two coordinate points is 11.66 units.
To learn more about the distance formula visit:
brainly.com/question/27262878.
#SPJ3
What is the length of the segment connection the points that have the coordinates (-9, 8) and (2, -5) A √130 B √218 C √290 D √338
Answer:
Step-by-step explanation:
Which is the equation of the given line?
O x = 4
ooo
O
y = 2x
6
4.
(2,4)
2
O y = 2
X
10-8-6
4
1
4
6
22
O x = 2
8 10
-4
-6
-8
10
(2, -7)
1
2
3
Answer:
x=2
Step-by-step explanation:
The solution is, The equation the line is, x =2
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (2,4) and, (2,-7)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y-4)/(x-2)=(-7-4)/(2-2)
=>0 = x-2
=>x =2
Hence, the required equation is, x =2
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
#SPJ7
Follow the steps for dividing decimals. Then, round to two decimal places (hundredths).
1.476)6.380
Answer:
4.32
Step-by-step explanation:
The steps required are:
4.322
1.476 )6.380
5.904
____
0.476
0.4763
0.4428
_____
0.0335
0.03358
0.02952
_____
0.00406
0.004060
0.002952
_____
0.0011080
Therefore, the answer is 4.32.
The volume of a sphere is 113.04 cubic feet. Find the radius. Use 3.14 for pi.
Helppppppp pls
Find $m\angle1$ and $m\angle2$ .
Answer:
m<1 = 125°
m<2 = 55°
Step-by-step explanation:
Okay, so we're dealing with alternate interior angles and all that sorta stuff, so I'll try to explain it best I can, if I'm too confusing let me know, let's go:
So the angle labeled 125° and angle 1 are alternate interior angles, so they're equal (yes, we're ignoring the fact that that might not me right because the other line isn't straight, I don't have another solution okay) anyways, so that means that:
1 = 125°
Now we know what 1 and 2 are on the same plane or axis or something like that, so basically, 1 and 2 HAVE TO add up to 180°, so that means that:
125 + x = 180
And now we just have to do the inverse operations thing:
180 - 125 = 55
So, m<1 = 125° and m<2 = 55°
tell me if this is wrong so I can fix it
hope this helps:)
Solve –9.4 Greater-than-or-equal-to 1.7x + 4.2.
Answer:
x≤-8
Step-by-step explanation:
Answer:
x ≤ -8
Step-by-step explanation:
Good Luck!
At Gabrielle's Restaurant, 2/5 of the dishes on the menu are vegetarian, or the vegetarian
dishes, 3/4 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta
dishes?
600% of what number is 4,200
Answer: Trust me pleas, 14.29%.
Step-by-step explanation: On my dead moms grave.
Answer:
700
Step-by-step explanation:
600% of 700 is equivalent to multiplying them:
600% × 700 = ?
600% × 700 =
(600 ÷ 100) × 700 =
(600 × 700) ÷ 100 =
420,000 ÷ 100 =
4,200
Solve for the missing side of this right triangle.
24 mi
16 mi.
Answer:
384
Step-by-step explanation:
I just went to my calculator and did 24×16 and I got 384
If x plus 3/4 = 1, then which point on the number line could be x?
Answer:
[tex]x = \frac{1}{4}[/tex]
Step-by-step explanation:
Step 1: Subtract [tex]\frac{3}{4}[/tex] from 1
[tex]1 - \frac{3}{4}\\\\= \frac{1}{4}[/tex]
Therefore, the point could be [tex]\frac{1}{4}[/tex]
Simplify : -sqrt(9+y)^2 if y<-10
Answer:
−y−9
Step-by-step explanation:
Answer:
9+y is the correct answer
Step-by-step explanation:
X-2 is a factor of f(x) = x3 – 2x2 + ax +
+18. State the remainder when f(x) divided
by x-9.
Answer:
answer is in the picture above
Answer:
remainder: 504
Step-by-step explanation:
x³ – 2x² + ax +18 = x²(x-2) - 9*(x-2)
a = -9
(x³ – 2x² - 9x +18) / (x-9) = (x² +7x + 54)(x-9) + 504 ... long division