Answers
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[tex]l = R \times \alpha [/tex]
[tex]l = length \: \: of \: \: the \: \: arc[/tex]
[tex]R = radius = 13 \: \: km[/tex]
[tex] \alpha = mersure \: \: of \: \: the \: \: centeral \: \: angle \: \: between \: \: two \: \: radiuses \\ [/tex]
Hint :
[tex] \alpha \: \: must \: \: be \: \: in \: \: radian[/tex]
Thus ;
[tex] \alpha = 45° = \frac{\pi}{4} \\ [/tex]
_________________________________
[tex]l = 13 \times \frac{\pi}{4} \\ [/tex]
[tex]l = \frac{13}{4} \pi \: \: km \\ [/tex]
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Related Questions
My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild.
Determine all possibilities for the ages of my grandparents’ grandchildren.
Answers
Answer:
The possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
Step-by-step explanation:
The given parameters are;
The number of grandchildren in the family = 4
The product of the ages of the four grand children = 67184
The age of the youngest grandchild < 10
The age of the oldest grandchild = 30 + The age of the youngest grandchild
Let a represent the age of the youngest grandchild, and let b, and c represent the ages of the other two intermediate grandchild
Therefore, we have;
a < 10
The age of the oldest grandchild = a + 30 < 10 + 30
∴ The age of the oldest grandchild < 40
The product of the ages of the four grandchildren = a × b × c × (a + 30) = 67184
The factors of 67184 that are between 1 and 40 are;
1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38
Taking a = 8, we have;
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 8 × 38 = 342
Therefore. a × b = 67184/(a × (a + 30) = 196.44
Therefore, a ≠ 8
For a = 4, we have the age of the oldest grandchild = a + 30 = 4 + 30 = 34
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 4 × 34 = 136
Therefore. a × b = 67184/(a × (a + 30) = 494
We find that the other factors of 67184, which are 19 and 26 have a product of 494
Therefore, the possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
To give, 4 × 19 × 26 × 34 = 67,184.
Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are different
Y intercept
End behavior
Domain
Range
Horizontal asymptote
(More than one answer)
Answers
Answer:
y-intercept,
end behavior,
range,
and horizontal asymptote
Step-by-step explanation:
I just finished the PLATO test and these are the answers
The answers are y-intercept, end behaviour, range and horizontal asymptote.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a parent function:
f(x) = eˣ
The transformed function:
g(x) = -f(x) - 4 = -eˣ - 4
g(0) = -5
f(0) = 1
From the graph, we can say the y-intercept, end behaviour, range and horizontal asymptote are different from the parent function.
Thus, the answers are y-intercept, end behaviour, range and horizontal asymptote.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
1. An auto shop has 98 cans of oil at the
beginning of the day. 12 hours later,
there are 10 cans remaining. How
many were sold? Which variable is most Important.
Answers
Answer:
88 cans were sold, the most important variable is how much you started with and how much you ended with
Step-by-step explanation:
88 cans were sold because 98-10=88, and the most important variable is how much you started and ended with because the question asks how much were sold and you can't know that without knowing the start amount and end amount which is the 2 variables I used to get 88 in the equation (98-10)
The Equation is 98-10=88
Determine whether AB and CD are parallel, perpendicular, or neither. A(2,8), B(-1, -2), C(3, 7), D(0, -3)
Answers
Answer:
they're parallel
A box question, very hard, please help
Answers
Answer:
the X box one
Step-by-step explanation:
X>moon>star>heart>circle
1/2 + 1/3 hElP!!!!!!!
Answers
1/2 + 1/3
1/2 x 3 = 3/6
1/3 x 2 = 2/6
So the new expression with the same denominators is:
3/6 + 2/6
Then just add the numerators:
5/6
Write an algebraic rule to describe the relationship in the table.
Answers
Answer:
um idrk lol but I LIKE UR CUT G!!!!
BRAINLEIST AND 5 STARS The function gives the number of people, in millions, who own a smartphone, years after the year 2000.
What does each equation tell us about smartphone ownership?
P(17) = 2, 320
Answers
It tells us that we would multiply Px 17 and that it is equal to the amount of years they get
Ps. Hope this helps
I confused what answer is it
Answers
Answer:
A
Step-by-step explanation:
Filipa practiced her trumpet today for 0.3 hours. What is the fraction equivalent to 0.3?
Answers
Answer:
3/10 I hope this helps
Step-by-step explanation:
If Helena starts school at 8:00am and must spend 45 minutes in each of her 6 classes, with two 30 minute breaks, at what time will she be finished her classes?
Answers
Answer:
1:30 pm
Step-by-step explanation:
45 x 6 (6 classes and 45 min per class) = 270
30 x 2 (2 breaks and 30 min per break) = 60
270 + 60 (Add time together) = 330
330 / 60 (Only 60 minutes in an hour) = 5 1/2
8 + 5 1/2 (Add starting time and at school time together) = 13 1/2
13 1/2 = 1:30 pm (Calculate to actual time)
Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?
Answers
Answer:
First payment (50%) would be 512$
The next two payments would be 32$ each
Explanation:
.5(1024)= 512
.25(512)=128
.25(128)= 32
Olivia reads 2/5 of her book on Monday and on Tuesday she reads 1/6 of what is remaining and then on Wednesday she reads the final 35 pages. So how many pages are in the book
Answers
Answer:
Step-by-step explanation:
Here's what we know:
1/6 + 2/5 + x = 1 (the fractions read plus the 60 pages (currently an unknown fraction) makes one whole book)
First we need a common denominator. LCD is 30:
5/30 + 12/30 + x = 1
18/30 + x = 1
Subtract:
x = 30/30 - 18/30
x = 12/30
Now we have an equivalency. 60 pages out of the whole book is equal to 12/30. Or:
60/y = 12/30
Cross multiply:
60 * 30 = 12y
Divide both sides by 12:
60 * 30 / 12 = y
Factor out a 6:
10 * 30 / 2 = y
Factor out 2:
10 * 15 = y
150 = y
There are 150 pages in the book.
try this!!!!!!!
PERSEVERE Find the values of x and y,
Answers
y² = 8y - 15 (alternate angles are equal)
y² - 8y + 15 = 0
(y - 5)(y - 3) = 0
y = 5 or 3
x + 8y - 15 = 180 (angles in a straight line add up to 180)
when y = 5
x + 40 - 15 = 180
x = 155°
when y = 3
x + 24 - 15 = 180
x = 171°
find the y intercept
Answers
Answer:
(0,12)
Step-by-step explanation:
As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship. That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.
A lawn-mowing company is trying to grow its business. It had 26 clients when they started its business and wants to increase by 3 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.
f(x) = 3x + 26; 0 ≤ y ≤ 4
f(x) = 3x + 23; 26 ≤ y ≤ 35
f(x) = 3x + 26; 26 ≤ y ≤ 35
f(x) = 3x + 23; 0 ≤ y ≤ 4
Answers
Answer: brainlest
date: 11/28/20 time: 2:42 pm name tom
hello please mark me as brainlest and hope this is what you needed ok
Answer:
So, f(x) = 6 x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
Given: A lawn-mowing company had 30 clients when they started its business and wants to increase by 6 new clients each week.
To find: arithmetic sequence to write a function to represent the real-world situation and the range of the function for the first four weeks of data.
Solution:
A sequence is a list of numbers in a specific order following some pattern.
A sequence is said to be arithmetic if difference between the terms is same.
For the first week, number of clients = 30
For the second week, number of clients = 30 + 6(1)
For the third week, number of clients = 30 + 6(2)
For the third week, number of clients = 30 + 6(3)
For the fourth week, number of clients = 30 + 6(4)
So, f(x) = 6 x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
Answer:
A) f(x) = 6x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
I JUST TOOK THE TEST
Answer: B
Step-by-step explanation:
for all of you on FLVS, its B
The distance from Jason's house to school is 0.1 kilometer. What is this distance in meters?
Help pls
Answers
Answer:
100 meters
Step-by-step explanation:
0.1 x 1000 = 100 m
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (2, −1)? y = Negative one-thirdx − One-third y = Negative one-thirdx − Five-thirds y = 3x − 3 y = 3x − 7
Answers
Answer:
D, y = 3x − 7
Step-by-step explanation:
Edge 2020, mark as brainliest plz
Answer:
The Answer is D.
Step-by-step explanation:
Identify the hypotenuse.
A. MN
B. LN
Answers
Answer:
The hypotenuse is line segment MN.
Step-by-step explanation:
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The angle 90 degrees (also represented by the red line on angle L) always always is opposite to the hypotenuse. Since angle L is 90 degrees, it is opposite of the hypotenuse, which is MN.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
consider the line y=9x-8
find the equation of the line that is parallel to this line and passes through the point (-8,3)
Answers
Answer:
y=9x+75
Step-by-step explanation:
since we know that the slope must be the same for two lines to be proportional, we are gonna start there.
so our equation is: y= 9x + b
we need to find b to complete our equation, so substitute in the points we were given.
3 = 9(-8) + b
so now,
3 = -72 + b
now we have to isolate b to find out what it is,
3 = -72 + b
+72 +72
so now: 75= b
Put that back into the starting equation: y = 9x + 75
Side -side -angles
Angles-side-angels
Angle -angle -side
Angle-angle-angel
Side-angel-side
Side-side-side
Hypotenuse-leg
I need help
Answers
Answer:
watch vedio
Step-by-step explanation:
gsinssuksbsi
The Pythagorean Therum
Answers
Answer:
The Pythagorean theorem is an equation to find the hypotenuse of a tirangle, this equation is c=a2+b2
Step-by-step explanation:
May I have brainliest please? :)
Please answer for me. Will make you brainiest
Answers
Answer:
.
Step-by-step explanation:
I tried to solve this but I don't get it maybe use another app for it bc it looks hard lolz
Use inverse operations to solve the expression. Enter your answer in
simplest form. y/-9 = 1/18
Answers
Answer:
mutiply everything by 18
-2y=1
y=-1/2
I'll mark you brainiest if you help me write a correct expression
Answers
32= 6w or 32= 6 x w
+ 19=20+24
A 11
B 13
C 15
D 25
Answers
Answer:
its D 25
i just know stuff
pls give two answers for good measure
Answers
Answer:
2nd answer choice.
Step-by-step explanation:
The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.
Step-by-step explanation: To solve for x in this inequality,
your goal is the same as it would be if you were solving an
equation, to get x by itself on one side.
Since 5 is being subtracted from x, add 5 to both sides of the inequality.
On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.
So we have x ≥ 3.
When graphing, start with a closed dot at +3 because x is
not just greater than +3, it's equal to it as well.
Then draw an arrow to the right, like I have done below.
In a survey of market, it is found that 143 persons use white toothpaste and 135 use red toothpaste. If 70 of them use both the toothpaste then find the number of persons who use at least one of the toothpaste
Answers
Answer:
let W and R represent white toothpaste and red toothpaste represently
n(W)=143
n(R)=135
n(WnR)=70
n( WuR)=?
Now,
n(WuR)=n(W)+n(R)_n(WnR)
=143+135_70
=208
that's all don't forget to write therefore.
Chase was given a box of assorted chocolates for his birthday. Each night, Chase treated himself to some chocolates. There were originally 18 chocolates in the box and after 4 nights, there were 6 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Chase's birthday.
Answers
The number of chocolates remaining in the box after Chase birthday can be represented by the equation 18 - 4t = 6
Number if chocolates in the box = 18
Number of nights = 4
Remaining chocolates in the box = 6
Based on the information given, the number of chocolates remaining in the box after Chase birthday can be represented by the equation 18 - 4t = 6.
To get the number of chocolates that he takes each night will be:
18 - 4t = 6
Collect like terms
4t = 18 - 6
4t = 12
t = 12/4
t = 3
He takes 3 chocolates every night.
Read related link on:
https://brainly.com/question/24444008
Pinning as branliest for best explained answer ::
4x + 3y = 0
5y + 53 = 11x
solve : substitution method
Answers
Answer:
sol:x=(5y+53)/11
value of x in 4x+3y=0
4×(5y+53)/11+3y=0
(20y+212+33y)/11=0
53y+212=0/11
y=-212/53
y=-4
now
value of x
4x+3y=0
4x+3×-4=0
4x=12
x=12/4
x=4
by solving both we get,