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[tex] \cos(30°) = \frac{16 \sqrt{3} }{s} \\ [/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{16 \sqrt{3} }{s} \\ [/tex]
Inverse both sides
[tex] \frac{2}{ \sqrt{3} } = \frac{s}{16 \sqrt{3} } \\ [/tex]
[tex] \frac{s}{16 \sqrt{3} } = \frac{2}{ \sqrt{3} } \\ [/tex]
Multiply sides by 16√3
[tex]16 \sqrt{3} \times \frac{s}{16 \sqrt{3} } = 16 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ [/tex]
[tex]s = \frac{2 \times 16 \times \sqrt{3} }{ \sqrt{3} } \\ [/tex]
[tex]s = 32[/tex]
Thus the correct answer is Option D .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
How long will it be from December 18 from 8:25 am to December 24 to 4.30 pm
Kim reads 360 words in 3 minutes. It Kim continues to read at the same rate, how many words can she rend in 1 hours?
Answer:
7200 word in 1 hour
Step-by-step explanation:
360/3 to get how many words she can read in a minute which is 120.
Then times it by 60 (60 mins in an hour) to get the total amout of words she reads in an hour. 120 x 60 = 7200 words.
Help. Will give brainliest :)
Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?
Answer:
18 inches!
Step-by-step explanation:
Since you are multiplying the original size by 3 times (4 in. originally • 3 = 12 inches) you just multiple the original height by 3 (6•3=18)
hope this helped!
For the sequence an
4n + 7, which term number is 335?
Please answer the question below
Answer:
19
Step-by-step explanation:
Brainliest!!!!!!!
12(7y+4)
[tex]{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ \\ 12(7y + 4) = 0 \\ \\ 84y + 48 = 0 \\ \\ 84y = - 48 \\ \\ y = - 48 \div 84 \\ \\ y = - 0.571 \\ \\ {\huge{\boxed{\mathfrak{\pink{hope \: it \: helps}}}}}[/tex]
Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year=365 days
1. Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year = 365 days.
Principal $1031
Rate 1.4%
Time 3 years
Answer:
a) $ 44.07
b) $ 44.15
c) $ 44.20
d) $ 44.22
e) $ 44.22
Step-by-step explanation:
The formula to find the total amount earned using compound interest is given as:
A = P(1 + r/n)^nt
Where A = Total amount earned after time t
P = Principal = $1031
r = Interest rate = 1.4%
n = compounding frequency
t = Time in years = 3 years
For each deposit, find the interest earned if interest is compounded
(a) semiannually
This means the interest is compounded 2 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/2) ^2 × 3
A = 1031 (1 + 0.007)^6
A = $ 1,075.07
A = P + I where
I = A - P
I = $1075.07 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.07
(b) quarterly
This means the interest is compounded 4 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/4) ^4 × 3
A = 1031 (1 + 0.014/4)^12
A = $ 1,075.15
I = A - P
I = $1075.15 - $1031
A = P + I where
P (principal) = $ 1,031.00
I (interest) = $ 44.15
(c) monthly,
This means the interest is compounded 12 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/12) ^12 × 3
A = 1031 (1 + 0.014/12)^36
A = $ 1,075.20
A = P + I where
I = A - P
I = $1075.20 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.20
(d) daily,Use 1 year = 365 days
This means the interest is compounded 365 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/365) ^2 × 3
A = 1031 (1 + 0.00365)^365 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
(e) continuously. .
This means the interest is compounded 2 times in a year
Hence:
A = Pe^rt
A = 1031 × e ^0.014 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
Derek needs 2 gallons water to mix a sport drink , but he only has a 1 cup measuring cup.
Answer:
He can fill up his fill up his measuring cup 8 times that is pretty simple
Step-by-step example
4 cups is in one gallon
what is this answer? :)
Answer:
the answer is b
Step-by-step explanation:
50.2 x 1 10² tenths equal?
Answer:
607,420
Step-by-step explanation:
hope it is correct and helps
Use the graph below to answer the question.
On a coordinate plane, a horizontal line is at y = 4.
What is the slope of a line that is parallel to the line in the graph?
Answer:
0
Step-by-step explanation:
edg 2020
Answer:
0
Step-by-step explanation:
if its parallel then its gonna be the same slope
Learning Task 2 without graphing tell whether the graphs of the system of equations are parallel, perpendicular,intersecting or coinciding
1.y = x + 7 and y = - x + 2
2.Y = 5x and y = 5x - 1
3. 2x + y = 1 and 2y + 4x = 2
4. Y = 2x + 3 and y = -x - 4
Answer:
1.Perpendicular
2. Parallel
3. Parallel
4.
Step-by-step explanation:
If two lines are parallel, slope is equal
If perpendicular, product of slopes is -1
y = mx + c is the general equation of a line form
m represents slope
1. slope is -1 and 1, they are perpendicular
2. Slope is 5 in both cases, they are parallel
3. slope is equal; equation ii is same as i if rewritten
They are parallel
4.
please help first will be brainliest
Answer:
Just multiply or divide the numbers they give you try both
Step-by-step explanation:
What is the absolute value of -0.58?
Answer:
0.58 I think because absolute value is positive
Please show steps on how you simplified it
Answer:
4(3^2)
3^2=9
4(9)= 36
Answer:
4(3•3)
4(9)
36
Step-by-step explanation:
3 to the second power is equal to 3•3, which is equal to 9
Then you do 4 times 9, equals to 36
Determine the intercepts of the line. -5x+9y=-18
Answer:
x-intercept = (18/5,0)
y-intercept = (0,-2)
Step-by-step explanation:
I graphed it and found the intercepts
brainliest would be great
88 x 88/22 x 11 x 11
Answer:
42592
Step-by-step explanation:
Answer:42592
Step-by-step explanation: So what you do is do 88 times 88/22 and so on :)
what is 3,910 divided by 25 using the power of 10
A: 25
B: 250
C: 25,000
Answer:
izuocha is superior
Step-by-step explanation:
Answer:
ochaochaochaocha
Step-by-step explanation:
sorry i trying to get attention from someone
She needs to find her maximum heart rate m by subtracting her age a from 220 write an equation she can use
Answer:
220 - a = m
Step-by-step explanation:
her age is the variable "a"
Giving brainlest to the correct answer
Answer:
The percentage of people surveyed that were satisfied with the car is 55%.
Step-by-step explanation:
1,100/2,000=0.55*100= 55%
Please help!!!! With 8 and 9
Answer:
8. slope: = 1/2
9. equation: y=1/2x
PLEASE HELP. SOON. I really need help i’m struggling a lot lol
Answer: A
Step-by-step explanation: trust me bro
can anyone do division on paper plsss
Answer:
738.75
Step-by-step explanation:
i hope this helps im sorry if im wrong
Step 1: D for Divide. How many times will 80 go into 59100 ? ...
Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: .
Step 3: S for Subtract. Next you subtract. ...
Step 4: B for Bring down. ...
Step 1: D for Divide. ...
Step 2: M for Multiply. ...
Step 3: S for Subtract.
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
Answer:
Please check solution for answer
Step-by-step explanation:
The general equation of for the slope of a line is
y = mx + c
where m is slope and c is the y-intercept
a). Yes it is in the slope-intercept form
b) The slope would represent the amount of money in dollars per week that is in the wallet
c) The y-intercept would be 125 and it is the amount of money present in the wallet before today
d) The slope would have a unit of dollars per week
What is the graph of the given function?
f(x) = -2(x – 3)2 + 4
Graph
Answer:
the graph attached is the answer
5h + 10 = 4h + h + 15
Answer:
h = no solution
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
5h + 10 = 5h + 15
Step 2: Solve for h
Subtract 5h on both sides: 10 ≠ 15Here we see that 10 does not equal 15.
∴ h has no solution.
Final Answer: No Solution
Steps/Reasons:
Step 1: Simplify [tex]4h + h + 15[/tex] to [tex]5h + 15[/tex].
[tex]5h + 10 = 5h + 15[/tex]
Step 2: Cancel [tex]5h[/tex] from both sides.
[tex]10 = 15[/tex]
Step 3: Because [tex]10 = 15[/tex] is false, there is no solution.
No Solution
~I hope I helped :)~
find the missing side
C=
Answer:
C = 10
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = 100
[tex]\sqrt{100}[/tex] = 10
TWENTY PIONTS!!!!! what completes the prime factorization of 315
Answer:
Positive Integer factors of 315 = 3, 9, 5, 45, 7, 315 divided by 3, 3, 5, 7, gives no remainder. Step-by-step explanation:
Quick I need the answer
Answer:
x = 25!
Hope This Helps!
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. PLS ANSWER CORRECT ANSWER WILL GET BRAINLIEST 100 POINTSSS
Answer:
T
n
+
1
=
T
n
+
d
T
1
=
a
Where the first term is equal to
a
and the common difference is
d
.
Option a can be expressed as follows:
T
n
+
1
=
T
n
+
4
T
1
=
1
Option c can be expressed as follows:
T
n
+
1
=
T
n
−
4
T
1
=
1
Hence both are arithmetic sequences (the other two options are geometric sequences with common ratios of 4 and 0.25 respectively)
Hope that helps :)
Step-by-step explanation: