Answer:
Step-by-step explanation: d
r = 4 in., θ = 11 rad; find s
Answer:
The arc length s = 44 inches
Step-by-step explanation:
We are given:
r = 4 in
Ф = 11 radians
We need to find s
The formula used is: [tex]s=r\theta[/tex]
where s represents arc length, r is radius and Ф is angle in radians
Putting values and finding s
[tex]s=r\theta[/tex]
Put r = 4 and Ф = 11
[tex]s=4\times 11\\s=44[/tex]
So, the arc length s = 44 inches
Solve the inequality.
1/3+x2/8>_5/6
A)X<_17/18
B)x>_17/18
C)x>_1 17/18
D)x>_5/18
What is 31/87 as a percentage?
Give your answer rounded to one decimal place.
Answer:
35.6%
Step-by-step explanation:
31/87(100)
3100/87
35.6%
Answer:
35,6%
Step-by-step explanation:
31/87 = 0,35632184
As a percentage: 35,632184%
Rounded to one deciman place: 35,6%
In a class of 23 students, 16 have a brother and 15 have a sister. There are 11 students
who have a brother and a sister. What is the probability that a student chosen
randomly from the class is an only child?
Answer:
3/23Step-by-step explanation:
11 students have a brother and a sister16 students have a brother and 16 - 11 = 5 have a brother only15 students have a sister and 15 - 11 = 4 have a sister onlySo out of 23 students:
11 + 5 + 4 = 20 have a brother or sister or bothAnd therefore
23 - 20 = 3students have no brothers or sisters
The required probability is:
3/23What is the perimeter?
Answer:
26
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
6 +6=12
12+3=15
15+2=17
17+4=21
rewrite 2/5 : 1/20 as a unit rate. PLZ HELP
Answer:
8 I believe
step-by-step explanation:
Solve the problem
( Show your work )
2x + 10 =- 4x – 9
Answer:
x = -19/6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
2x + 10 = -4x - 9
Step 2: Solve for x
Add 4x on both sides: 6x + 10 = -9Subtract 10 on both sides: 6x = -19Divide 6 on both sides: x = -19/6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2(-19/6) + 10 = -4(-19/6) - 9Multiply: -19/3 + 10 = 38/3 - 9Add/Subtract: 11/3 = 11/3Here we see that 11/3 does indeed equal 11/3.
∴ x = -19/6 is the solution to the equation.
John buys two types of tree saplings. One starts out at 40 cm and will grow 10 cm every three months. The other sapling starts at 20 cm and will grow 10 cm every two months. After how many months will they be the same height, and how tall will they be? solve for y and x
Answer:
They will at the same height of 80cm at 12 months.
Step-by-step explanation:
Sapling A:
y = 10/3x + 40
Sapling B:
y = 5x + 20
Set the equations to equal each other.
10/3x + 40 = 5x + 20
10/3x - 5x = 20 - 40
10x - 15x = 60 - 120
-5x = -60
x = 12
Sub x = 12 into one of the two equations (It doesn't matter which one you choose)
y = 5(12) + 20
y = 80
Helppppp me please I need help please
Answer:
bruh. this wat im working on too and need help also
Answer:
x = 3.6, the measure of the largest angle is 86.4
Step-by-step explanation:
15x + 24x + 21x = 180
50x = 180
180/50 = 3.6
x = 3.6
-------------------------
24x = 24(3.6)
24 * 3.6
86.4
HELPPP!!! ASAPP!!!! FINALSSS!!!!
PLS HELP! DUE IN 10 MINS PLS!!!!!!!!!!!!!!!
Answer:
25 metres per second
Step-by-step explanation:
just divide 100 by 4 and you will get the answer.☺️☺️
Answer:
25 m/s
Step-by-step explanation:
train a travels at 12.5 m/s and will arrive at 100m in 7s.
train b arrives at the same distance, 100m, in 4s. so that means train b is going at 100m/4s and then simplify that
therefore train b is moving at 25m/s
The table shows the amount of flour
used to make waffles. What is the unit
rate for the amount of flour per waffle?
Answer:
⅛ cups per waffle
Step-by-step explanation:
can someone please help its due tomorrow.
Find the area. Simplify your answer.
3x
4
Help
Answer:
The area is 12x^2
Step-by-step explanation:
Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 27 dollars but charges an additional $32 each month for how many months is fabulous fitness less expensive than wonder weights? Set up and solve an equality to determine your answer
Answer:
9 months
Step-by-step explanation:
Given
Fabulous fitness charges a one-time fee of $90 and an additional $25 per month
let the number of months be x
and the total charges be y
y= 25x+90---------1
Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month
let the number of months be x
and the total charges be y
y= 32x+27------------2
Required
The value of x, that is the number of months
Step two:
Equating both equations we have
25x+90=32x+27
collect like terms
25x-32x=27-90
-7x=-63
7x=63
divide both sides by 7
x= 63/7
x= 9 months
A lemonade recipe calls for 6 gallons of water. How many cups of water are needed for the recipe.
Answer:
96
Step-by-step explanation:
Hope this helps
Mike has a credit rating of 720. Tyler has a credit rating of 560. Mike and Tyler apply for identical loans from Park Bank. Mike is approved for a loan at 3.2% interest, and Tyler is approved for a loan that charged 3 percentage points higher because of his inferior credit rating. What interest rate is Tyler charged?
Answer:
6.2%
Step-by-step explanation:
Credit rating is an evaluation of the credit risk of a borrower, that how often a person is going to repay their debt, by credit rating it predicts the ability of the debtor to payback.
Mike has credit rating = 720
Tyler has credit rating = 560
Both are approved for loan. Mike's Credit score is higher, which means he is a much safer debtor as compared to Tyler. Mike will be able to pay back much easily than Tyler. Therefore Mike interest rate is 3.2%
Interest rate of Tyler is higher as he is not that trusted and has low Credit rating. Tyler is approved for a loan that charged 3 percentage points higher because of his inferior credit rating so it interest on the loan will be
Interest = 3.2%+3% = 6.2%
Answer: 45
Step-by-step explanation:
Loch ness is the largest lake in Scotland.
The lake has a volume of water of 7.45x10^9 m^3.
The volume of water in Lake Superior is k times the volume of water in Loch ness.
Lake Superior = 8.21x10^10
Work out the value of k.
Give your answer correct to 3 significant figures.
Answer:
11.020
Step-by-step explanation:
vol of l.supe = k(lochness)
88.21 * 10^10 = k( 7.45 * 10^9)
divide and k =11.020
in fraction = 1642/149
Which of the following sets of numbers could represent the three sides of a right
triangle?
Answer:
(45,60,75)
Step-by-step explanation:
Because 45^2 + 60^2 = 75^2
5625 = 5625
Simplify the complex fraction shown below: 1/4 over 10/9
Answer:
9/40 or 0.225
Step-by-step explanation:
Determine the answer to (−5) + 4 and explain the steps using a number line.pls help i will give 62 pints
mr minnelo hasksidir
Answer:
Who has that name?
Step-by-step explanation:
What's the question i'm really curious lol
Choose an expression equal to: 12x + 9
Answer:3
3(4x+3)
Step-by-step explanation:
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12
Answer:
[tex]y = \frac{x}{3} - 4[/tex]
I hope this helps!
The number positioned at point E is...
Answer:4 and a half
Step-by-step explanation:
4 and a half
Question 3
True or false. A discount will add to the total cost you
will pay for an item.
Answer:
False
Step-by-step explanation:
Simplify.
9/3x + 4+ 2x
Answer:
5x+4
Step-by-step explanation:
Pls answer if u do know
If the principal is $10, 624 and the rate of interest is 6.25%, what is the amount of interest after four years?
Answer:
$2656
Step-by-step explanation:
6.25% of $10,624 is $664, so that is the amount of interest every year.
$664 times 4 is $2656, so after 4 years $2656 will have been paid.
If (x − 2) ∶ 5 = 7 ∶ 9, then find the value of x.
Answer:
x=53/9
Step-by-step explanation:
(x-2):5=7:9
9x-18=35
9x=35+18
9x=53
x=53/9