Answer:
s = 44.5 m
Step-by-step explanation:
The radius of the circle, r = 17 m
Central angle, [tex]\theta=\dfrac{5\pi}{6}\ rad[/tex]
We need to find the length of the arc. Let the length of the arc is s.
[tex]s=r\theta\\\\=17\times \dfrac{5\pi}{6}\\\\s=44.5\ m[/tex]
So, the length of the arc is equal to 44.5 m.
Change this fraction to an equivalent fraction with multiplication.
4/7 = ______
Sample Answer:
8/14
Step-by-step explanation:
This is an open ended question with infinite answers, though you can for example multiply both parts of the fraction by 2 to get the same value
4/7
4 * 2 = 8
7 * 2 = 14
8/14 = 4/7
Answer:
8/14
Step-by-step explanation:
The ratio of cups of orange juice concentrate to water in a punch recipe is 2 : 5. If Geoffrey used 20 cups of water, how many cups of orange juice concentrate did he use?
Answer: 8 cups
Step-by-step explanation:
Let the cups of orange juice concentrate that he used be represented by x.
Therefore, based on the information, we can form an equation which will be:
2/5 = x/20
Cross multiply
5 × x = 2 × 20
5x = 40
x = 40/5
x = 8
Therefore, he used 8 cups of orange juice concentrate.
PLEASE HELP SOMEONE!! thank you!
find j
write your answer in simplest radical form
Answer:
prob just [tex]\sqrt{6}[/tex]
Step-by-step explanation:
leg = [tex]\sqrt{3}[/tex]
j = [tex]\sqrt{3}[/tex] * [tex]\sqrt{2}[/tex]
[tex]\sqrt{6}[/tex]
Answer:
Step-by-step explanation:
8x6, then 11x12, 12x8 and 8x12 8x7 than add the answers together
How many solutions does the system have ?
Answer:
one
Step-by-step explanation:
althought the lines look parallel the
slope on the blue line is 1
slope on the red line is 3.5
therefor there is one solution
Malcolm is filling bags with rice. He starts with a 57 -pound container of rice and fills each
bag with pound of rice. How many bags of rice can Malcolm fill?
Click the arrows to choose an answer from each menu.
To determine the number of bags Malcolm can fill. Choose
Malcolm can fil
Choose
full bags and choose
of another bag
Rewrite 5 1/4 as an improper fraction:
Multiply the whole number by the denominator of the fraction then add the numerator of the fraction and put over the denominator:
5 x 4 = 20 + 1 = 21
5 1/4 = 21/4
Ow divide the total amount (21/4) by the amount in each bag (5/8)
21/4 / 5/8
When dividing by a fraction flip the second fraction over and then multiply straight across:
21/4 / 5/8 = 21/4 x 8/5 = (21 x 8) / (4 x5) = 168/20 = 8 8/20 = 8 2/5 bags
He can fill 8 full bags and 2/5 of a other bag
‼️‼️HELP PLS HELP ILL MARK YOU BRAINLEST‼️‼️
a) 75°
b) 105°
c) 52.5°
d) 180°
Answer:
52.5
Step-by-step explanation:
180-75=105
105/2=52.5
Answer:
b) 105°
Step-by-step explanation:
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12 feet. They have chosen large square tiles that are 2 feet by 2 feet. how many tiles will they need to buy to cover their kitchen floor?
Answer:
27 tiles
Step-by-step explanation:
First, find the total area of the kitchen.
Use the area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sq ft
Find the area of the square tiles, using the same formula:
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sq ft
Find how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, they will need to buy 27 tiles
Answer:
27 tilesTo find the total area of the kitchen.
We know,area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sqft
NowTo find the area of the square tiles
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sqft
AtlastFind how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, Tiles Needed= 27
Hope This Helps You ❤️The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is the probability of both events occurring, in that order?
P(A) • P(B)
P(A + B)
P(A x B)
P(A) + P(B)
Given:
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
To find:
The probability of both events occurring, in that order.
Solution:
If A and B are two independent events, then
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]
It is given that,
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., [tex]P(A\cap B)[/tex], therefore [tex]P(A\cap B)=P(A)\cdot P(B)[/tex].
Hence, the correct option is A.
Please help me thanks please
I will give you brainlest
Answer:
60
Step-by-step explaintion
5 x 12
A cone has a volume of 4823.04 cubic inches and a radius of 16 inches. What is its height? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ 4823.04 = \frac{1}{3} \times 3.14 \times {16}^{2} \times h \\ 4823.04 = 268.08h \\ h = 17.99 \: inches[/tex]
please help thanks!!!
Answer:
2x+8
Step-by-step explanation:
So when they say a number, they mean a unknown value.
We can use a variable as this unknown value. In this situration we can call it x.
This phase says "twice a number" or "twice x". This can be though of as 2x.
next it says this number is increased by 8. When they say increased they meanm added to.
So 8 is added to 2x. Or 2x + 8
So its the second answer, 2x+8.
Hope this helps!
Welcome, Detective Percent. Recently, there have been many reported scams. After weeks of investigations, you finally tracked down the address of the mastermind. He is an expert in %. He knows you are here to catch him and is in the midst of destroying all the evidence. He needs 30 minutes for the whole process to complete. You have to get through all the locks (full of percentages) to get to his secret chamber before all the evidences are gone.
Answer:
filthy Frank always told ppl who had anime pic where weeaboos
Better upload please help out and thank you ❤️.
Rob can harvest a field in 12 hours. One day his friend Aliyah helped him and it only took 5.45 hours. Find how long it would take Aliyah to do it alone.
Answer:
6.25 times two equals 12.5
Step-by-step explanation:
Hard and Long math question, Answer for 100Points
(In image)------ (Dum answers to steal points will be reported, and your account will be deleted)
(Answer In depth for all points, And Answer all the questions that the problem requests)
Answer: Momma- 72, Uncle- 36, Baby-27, & Grandaddy-36
Step-by-step explanation:
Momma: x/48=30/20; 1440=20x; x=72
Uncle: x/72=5/10; 360=10x; x=36
Baby: x/36=6/8; 216=8x; x=27
Grandaddy: x/27=16/12; 432=12x; 36
hii! please help asap. i’ll give brainliest
Answer:
b
Step-by-step explanation:
Find the value of x.
Answer:
46degrees
Step-by-step explanation:
Find the value of x.
Using the circle theorem which states that
The angle at the vertex is half the difference that at the intercepted arcccs
x = 1/2(152 - 60)
x = 1/2 (92)
x = 92/2
x = 46degrees
Hence the value of x is 46degrees
The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of their masses?
Answer:
carbon is heavier
Step-by-step explanation:
That's the difference right?
Oh and if you want an exact number, you can take the mass of carbon arom and subtract the mass of hydrogen atom
1.994×10^-23 - 1.67×10^-24= 19.94×10^-24 - 1.67×10^-24= 18.27x10^-24
Question:
Why do you think there is a limit on the number of times you can withdraw or transfer money in your savings accounts?
(PLEASE ANSWER IN YOUR OWN WORDS!)
Answer:
Step-by-step explanation:
The bank uses money deposited into savings and other accounts for investments and loans. They need to ensure that the money won’t be withdrawn so they have use of that money.
23 travelers forest 63 piles of plantains containing the same number of plantains and a remaining pile containing 7 plantains. They divided the plantains equally. What is the least number of plantains that each traveler got?
Answer:
14 plantains
Step-by-step explanation:
Given
[tex]x \to[/tex] plantain in a pile
[tex]y \to[/tex] plantain received by each
[tex]n = 23[/tex] travelers
Required
The least value of y
Note that:
- There are x plantains in 1 pile, so there will be 63x in 63 piles
- The number of plantains shared is: 7 to 63x (7 represents the single plantain)
- 1 traveler gets y plantains, so 23y will receive 7 + 63x plantains
So, the equation is:
[tex]23y = 7 + 63x[/tex]
Make y the subject
[tex]y = \frac{7 + 63x}{23}[/tex]
The values of x and y must be integer and these values must be greater than 0.
Using trial by error method, we test the values of x starting from 1;
So, we have:
[tex]x = 1 \to y = \frac{7 + 63 * 1}{23} = \frac{70}{23} = 3.04[/tex]
[tex]x = 2 \to y = \frac{7 + 63 * 2}{23} = \frac{133}{23} = 5.78[/tex]
[tex]x = 3 \to y = \frac{7 + 63 * 3}{23} = \frac{133}{23} = 8.52[/tex]
[tex]x = 4 \to y = \frac{7 + 63 * 4}{23} = \frac{259}{23} = 11.26[/tex]
[tex]x = 5 \to y = \frac{7 + 63 * 5}{23} = \frac{322}{23} = 14[/tex]
So, the smallest values of x and y that satisfy the equation is:
[tex](x,y)=(5,14)[/tex]
Hence, the least number of plantain each traveler got is 14
The St. Louis Cardinals defeated the Texas Rangers in the 2011 World Series in a thrilling 7game series. The matrices below show the statistics for runs, hits, and errors for each team in each game.
Which team had the most total runs
Which team had the most total hits
Answer:
The St. Louis Cardinals had the most total runs
The Texas Rangers had the most total hits
Step-by-step explanation:
From the given matrices, we have;
The total runs made by the St. Louis Cardinals is found by adding the runs obtained in each of the seven games as follows;
Total runs by St. Louis = 3 + 1 + 16 + 0 + 2 + 10 + 6 = 38
Similarly the total hits by the St. Louis Cardinals is given as follows;
Total hits by St. Louis = 6 + 6 + 15 + 2 + 7 + 13 + 7 = 56
For Texas Rangers, we have;
Total runs by Texas Rangers = 2 + 2 + 7 + 4 + 4 + 9 + 2 = 30
Total hits by the Texas Rangers = 6 + 5 + 13 + 6 + 9 + 15 + 6 = 60
Therefore, we have;
The St. Louis Cardinals has the most total runs with 38 runs which is more when compared to the Texas Rangers that have 30 runs
The Texas Rangers has the most total hits with 60 hits compared to the St. Louis Cardinals that have 56.
Marco randomly pulled a marble out of a bag then returned the marble to the bag. He did this 10 times. Three times the marble was green. Kira spun a wheel with sections of different colors. The wheel landed on blue 6 times of the 15 times. Robin decide to pull a marble from the bag and spin the wheel once. Based on the results from Marco and Kira, what is the probability that Robin pulls out a green marble and wheel lands on blue? A. 3/25 B. 1/4 C. 9/25 D. 7/10
Answer:A
Step-by-step explanation:
Step 1: 3/10
Step 2: 6/15=2/5
Step 3: 3/10 x 2/5 = 3/25
Straight line A has the equation y = 3x + 2. Find the equation of the line parallel to A and goes
through the point (3,8)
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (3, 8 ) into the partial equation
8 = 9 + c ⇒ c = 8 - 9 = - 1
y = 3x - 1 ← equation of parallel line
Jimmy has a collection of 1400 baseball cards. Of these cards, 15%, are
players from before 1980, 10% are players from 1980 to 2000, and the
rest are players from after 2000. How many players does Jimmy have
from after 2000?
Answer:
Your answer is 1050 cards are from after the 2000s.
Step-by-step explanation:
25% of the cards are before 2000, so that means 75% of 1400 cards are after the 2000s.
.75*1400 = 1050
In a 60 sheet package of construction paper there are 15 yellow sheets what is the probability that a randomly selected sheet will be yellow
Answer:
15/60 or 1/4, which is 25%
Step-by-step explanation:
Convert 12/5into a percent
Answer:
[tex]240\%[/tex]Step-by-step explanation:
[tex] \frac{12}{5} \: into \: percentage[/tex]into decimal form:
[tex]2.4[/tex]
[tex]2.4 \times \frac{100}{100} [/tex][tex] \frac{(2.4 \times 100)}{100} [/tex][tex] \frac{240}{100} [/tex][tex]240\%[/tex]
Hint:
[tex] \frac{100}{100} = 100 \div 100 = 100\% = 1[/tex][tex]p\% = \frac{p}{100} = p \div 100[/tex]Hope it is helpful...5 b = - 25 for algebra
Answer:
b= -5
Step-by-step explanation:
because 5x-5=-25
hey cutie pls help me !! brainilist will be given !!
Answer:
Part a.
An angle bisector divides the angle into two congruent angles.
m<FGH = m<HGI
2x - 4 = 3x - 22
Subtract 2x from both sides. Add 22 to both sides.
18 = x
x = 18
Now that we know x = 18,
m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32
m<FGH = 32
Part b.
m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32
m<HGI = 32
Part c.
m<FGI = m<FGH + m<HGI = 32 + 32 = 64
m<FGI = 64
Step-by-step explanation:
someone pls help me with this question
Answer:
10 units
Step-by-step explanation:
[tex]4 \times 2.5 = 10[/tex]
Answer:
the answer is 15.4 units