NAME THE PARTS OF THE CIRRCLR
a) Point O
b) [tex]\overline{OB}[/tex]
c) [tex]\overline{AB}[/tex]
4) arc DE (m)
5) [tex]\overline{DE}[/tex]
6) Semicircle AEB
alex is running in a clockwise direction around a circular track with radius 60 yards. he runs for 20 minutes at a speed of 4 yards per second. find the shortest distance between their starting point and their ending point measured along the track
Answer:
100.9 yards
Step-by-step explanation:
One circuit of the track is a distance of ...
C = 2πr = 2π(60 yd) = 120π yd.
At Alex's running rate, the distance covered in 20 minutes is ...
(4 yd/s)(20 min)(60 s/min) = 4800 yd
The number of circuits will be ...
(4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits
The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,
That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd
The shortest distance along the track to Alex's starting point is about 100.9 yards.
_____
Additional comment
The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.
YOU guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answer:
If you have a party and your pizza was split up into 16 pieces, 8 people should be able to have 2 pieces.
Step-by-step explanation:
Koala Airlines carries an average of 272 passengers on its Dallas-Perth flight. It runs 620 such flights each year. How many passengers does it carry on those flights each year?
Answer:
272×620=168,640
Step-by-step explanation:
If koala airlines carries 272 in average then the answer is 168,640
NEED HELP PRONTOOO!!!!!!!!!!!!!!!!!!
Answer:
(x + 5)² - 25
Step-by-step explanation:
1/2 + (-7) – 2 1/2 - (-2)
what is the factor of this 3x - 12
Answer:
3 (x - 4)
Step-by-step explanation:
(1)Pradnya had 5 dozen copies. She gave half of the copies to Anushka and 1/5 times of the copies to Prajwal. How many copies are remaining with her ?
(2) Shrikant bought a watch at Rs. 900. He gave equal number of notes of denomination Rs. 10, Rs. 20, Rs. 50 and Rs. 100. Find the number of notes of Rs. 20 that he gave to the shopkeeper.
(3) Mangalakaku purchased 6016 saplings of lemon. She planted 47 saplings in each row. How many rows will be formed of those saplings?
Explanation:
(i)Total number of copies are at Pradnya = 5 dozen
We know that 1 dozen = 12
⇛5×12 = 60
Given copies to Anushka = half of 60
⇛60/2 = 30 copies
Given copies to Prajwala = 1/5 the copies
⇛ (1/5)×60
⇛60/5
⇛12 copies
Total number of given copies = 30+12 = 42
Remaining copies = 60-42 = 18
Answer: Remaining copies = 18
(ii)Let the number of Rs. 10 notes be X
So given that
all are equal in number
So, Number of Rs 20 notes = Number of Rs. 50 notes = Number of Rs. 100 = X
Total number of notes
= X+X+X+X = 4X
Value of Rs. 10 = 10X
Value of Rs. 20 = 20X
Value of Rs. 50 = 50X
Value of Rs. 100 = 100X
Total amount = Rs. 900
⇛10X +20X +50X+100X = 900
⇛180X = 900
⇛X = 900/180
⇛X = 5
Number of Rs. 10 notes = Number of Rs. 20 notes = Answer: number of Rs. 50 notes = Number of Rs. 100 = 5
(iii) Let the number of rows be X
Number of saplings per each row = 47
Total number of saplings of X rows = 47X
According to the given problem,
Total number of saplings purchased by Mangalakaku = 6016
⇛47X = 6016
⇛X = 6016/47
⇛X = 128
Answer: Total number of rows = 128
can you guys help me?
Answer:
Step-by-step explanation:
1. y = 2x
y = 2*4 = 8 Checks, therefore
y = 20 for x = 10
2. y = 3x
y = 3*(0.3) = 0.9 Checks, therefore:
y = 3*(1.5) = 4.5
y = 3*
3. y = 5/x
y = 5/(1/2) = 10 Checks, therefore:
3 = 5/x
x = 5/3
4 v = wu
7*3 = 21 Checks, therefore:
v = (3/4)*(6) = (18/4) = (9/2)
v = (2/3)wu
v = (2/3)*7*3 = 14 Checks
5 m = Kn/p [Add the K as a constant that will make m = Knp true at some value of K]
9 = K*2/(1/3)
27 = (K*2)
27 = 2K
K = (3/2)
m = (3/2) (n/p)
m = (3/2)*((1/2)/(1/3))
m = (3/2)*(3/2)
m = 1
if laura has a school loan of $420,a car loan of $300 and rent of $550,what must she budget just to pay those expenses?
Answer:
1270
Step-by-step explanation:
420+300+550
$420+300=720+550=1270
Find the length of the second base of a trapezoid with one base measuring 18 feet, a height of 5.3 feet, and an area of 125.4 square feet.
Answer:
29.32 feet
Step-by-step explanation:
area of a trapezoid = height/2 * (first base + second base)
125.4 = 5.3 / 2 * (18 + second base)
125.4 = 2.65 * (18 + second base)
We want to solve for the second base. To do this, we can start by isolating the (18+second base) by dividing each side by 2.65
47.32 = 18 + second base
subtract 18 from both sides to solve for the second base
29.32 = second base
the triangle has a right angle at the middle letter.
In AABC, Ĉ = 40°, BC = 4 cm. Find AB.
Prove the following
Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Thats the answer and method i used
Dont know how to calculate it
Answer:
AB = 105
Step-by-step explanation:
Since ∠ A and ∠ B are equal then Δ ABC is isosceles with 2 congruent legs.
AC = BC , substitute values
6x - 7 = 5x + 7 ( subtract 5x from both sides )
x - 7 = 7 ( add 7 to both sides )
x = 14
Then
AB = 7x + 7 = 7(14) + 7 = 98 + 7 = 105
greg drove 300 miles at a constant speed for 5 hours. the speed limit is 70 miles per hour. was his rate grater than the speed limit?
No.
Step-by-step explanation:To find the rate for how many miles Greg drove for 5 hours, we need to divide 300 by 5:
300 / 5 = 60.
60 miles represents the speed for 1 hour.
60<70.
The inequality indicates that his rate (60 miles per hour) is less than the speed limit.
Determine if they are congruent. State how they are.
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is ~ D
[tex] \textsf{Not enough information }[/tex]The given triangles are not congruent, because they they just have all their corresponding angles equal to one another, so we need more information ~
Please help question in pic
Answer:
7,3
Step-by-step explanation:
for every 5 it goes right it goes 4 up. 2,1+5,4=7,3
Pleas help me for B and C
Answer:
In no b 7 people has represented □
In no c 2 people referred giraffe than dogs
Answer:
(b)Total 8 complete square in given pictogram represented 64 people.
(c) 6 more people preferred giraffes than dogs.
8 less than the sum of u and 2
Answer: u < 6
Step-by-step explanation: 2 + u < 8
u < (8-2)
u < 6
6. If the pattern continues, what would be the ninth number in the pattern?
4 8, 12, 16___
( full question on pic )
Hi! can someone help me please, thank u!
Answer:
20
Step-by-step explanation:
You're counting by 4's. Which are the following 4,8,12,16,20 and so on. Hope this helps :D
what is the answer in simplest form?
[tex]\\ \sf\longmapsto 2m^2=-200[/tex]
[tex]\\ \sf\longmapsto m^2=-100[/tex]
[tex]\\ \sf\longmapsto m=√-100[/tex]
[tex]\\ \sf\longmapsto m=√100i[/tex]
[tex]\\ \sf\longmapsto m=10i[/tex]
need help with this pls
Answer:
Hence y = (5k -3)/ (1 - k)
.... shown
i really need your help on this
Answer:
That is an improper fraction
Step-by-step explanation:
When the numerator (the top) is greater than the denominator (The bottom) then the fraction is improper
Hope this helps!
Answer:
Improper fraction
Step-by-step explanation:
Cliek an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan click the trashcan to clear all your answers
Factor completely, then place the answer in the proper location on the grid
2107.57a+ 30
123456789
===============================================================
Explanation:
I'll use the variable x in place of 'a'
The expression we need to factor is [tex]21x^2-57x+30[/tex] which is in the form [tex]ax^2+bx+c[/tex]
So,
a = 21b = -57c = 30We'll plug those three values into the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-57)\pm\sqrt{(-57)^2-4(21)(30)}}{2(21)}\\\\x = \frac{57\pm\sqrt{729}}{42}\\\\x = \frac{57\pm27}{42}\\\\x = \frac{57+27}{42} \ \text{ or } \ x = \frac{57-27}{42}\\\\x = \frac{84}{42} \ \text{ or } \ x = \frac{30}{42}\\\\x = 2 \ \text{ or } \ x = \frac{5}{7}\\\\[/tex]
The two roots of [tex]21x^2-57x+30 =0[/tex] are [tex]x = 2 \text{ and } x = \frac{5}{7}[/tex]
The root x = 2 leads to the factor (x-2) after subtracting 2 from both sides.
The root [tex]x = \frac{5}{7}[/tex] leads to the factor (7x-5) after first multiplying both sides by 7, and then subtract 5 from both sides.
So we have this set of steps:
[tex]x = \frac{5}{7}\\\\7x = 5\\\\7x-5=0\\\\[/tex]
The two factors are (x-2) and (7x-5).
This leads to (x-2)(7x-5)
The last step is to replace x with 'a' so that the variables match up.
We arrive at (a-2)(7a-5)
However, as the next section shows, we have a bit of a problem. Don't worry, it can be easily fixed.
---------------------
Let's expand out that factored expression we found earlier.
[tex](a-2)(7a-5)\\\\b(7a-5)\ \text{ ..... let b = a-2}\\\\7ab - 5b\\\\7a(b) - 5(b)\\\\7a(a-2) - 5(a-2)\ \text{ ..... plug in b = a-2}\\\\7a^2-14a - 5a+10\\\\7a^2-19a+10\\\\[/tex]
That's not good. We should have arrived at the original expression [tex]21a^2-57a+30[/tex]. To fix this discrepancy, we can stick a 3 out front and then notice that:
[tex]3(a-2)(7a-5) = 3(7a^2-19a+10) = 21a^2-57a+30[/tex]
The error has been fixed.
We have the full factorization of 3(a-2)(7a-5)
The order of the factors doesn't matter, so we could have written the answer as 3(7a-5)(a-2). Usually the factor without any variables will be listed first.
Based on the screenshot you posted, if that '7' is locked in place, then the only possible answer is 3(7a-5)(a-2) since you'll have 3 in the first slot, then a ( in the next slot. The other slots are filled out in a similar manner. There are no spaces between any symbol or letter.
Plz help me! 25 POINTS!
Answer:
g(x) = 24(2^(x-1)) +16
Step-by-step explanation:
A function is stretched vertically by a factor of 'a' by multiplying by 'a'.
g(x) = 4·f(x) = 4(6(2^(x-1) +4)
g(x) = 24(2^(x-1)) +16
Which number line shows the estimate of V47 in the correct interval of integers?
0 1 2 3 4 5 6 7 8 9 10
0 1 2 3 4 5 6 7 8 9 10
0 1 2 3 4 5 6 7 8 9 10
Answer:
B (the second number line)
Step-by-step explanation:
[tex]\sqrt{49}[/tex] = 7, so [tex]\sqrt{47}[/tex] would be close to 7
Please answer this question Step by Step method.
If it is correct you will get a thank you and 5 stars from me.
Answer:
see explanation
Step-by-step explanation:
The perimeter P is the sum of the 4 sides of the rectangle.
The opposite sides of the rectangle are congruent , then
P = 2x + 1 + 2x + 1 + x + x ← collect like terms
P = 6x + 2
In science class, the girl to boy ratio is 3 to 7.
If there are 50 students total in the class, how many are boys?
Answer:
There are 35 boys in the class.
Step-by-step explanation:
Girls to Boys ratio = 3:7
Total number of students in class = 50
Let total number of girls be '3x' and total number of boys be '7x'
Total number of girls + Total number of boys = Total number of students
3x + 7x = 50
10x = 50
x = 50/10
x = 5
[tex] \therefore [/tex]
Total number of girls = 3 × 5 = 15
Total number of boys = 7 × 5 = 35
Given below, if Xy and are congruent, what is the measure of
A. 140°
B. 280°
C. 100°
D. 80°
(it’s A. 140°)
Answer:
holi , cómo estás espero que bien bueno déjame te digo que está facil soy de México pero voy a clases de inglés y ya me la hicieron esa pregunta y es la D hojala te ayude mucho
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer: y= (1/4)x
Step-by-step explanation: Best guess given screenshot, matched with desmos.