Answer:
the balance of the loan be after one year is $7897.5.
Step-by-step explanation:
If tan x = m, what is sin x in terms of m?
Answer: m/sqrt(m^2)+1
Step-by-step explanation: if tan x = m, then the opposite angle is m and the adjacent angle is 1 so 1 squared plus m squared equals c squared. c = sqrt (1 + m^2)
sin x = opposite/hypotenuse = m/sqrt(m^2)+1
The value of sin x in terms of m is [tex]\frac{m}{\sqrt {m^2+1}}[/tex]
Trigonometry are identities used to express the sides and angles of a triangle.
According to SOH CAH TOA,
Tan θ = Opposite/Adjacent
Given that tan x = m
Opposite = m
Adjacent = 1
Get the hypotenuse using the pythagoras theorem
Hyp² = Opp² + Adj²
Hyp² = m²+1²
Hyp² = m²+1
Take the square root of both sides
√Hyp² =√m²+1
Hypotenuse = √m²+1
Next is to get sin x:
Sin x = Opposite/Hypotenuse
Sin x = [tex]\frac{m}{\sqrt {m^2+1}}[/tex]
Hence the value of sin x in terms of m is
[tex]\frac{m}{\sqrt {m^2+1}}[/tex]
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1. When one-half of a number is subtracted
from its thrice, it gives 2500. Find the
number.
Answer:
let the number be x
thrice of the number=3x
one-half of the number=(1/2)x
so from the expression we:
3x-x/2=2500
(6x-x)/2=2500
6x-x=2*2500
5x=5000
x=5000/5
x=1000
There are 13 boxes with 5 pencils in each box. How many pencils in all? (PLZ HELP)
Answer:
65 pencils in all
Step-by-step explanation:
13 times 5 is 65, so 65 pencils in all.
what is 5 1/6 - 7 1/3
Answer:
-13/6 or -2 and 1/6 or -2.16
Step-by-step explanation:
The solution of expression in mixed fraction form is,
⇒ 2 1/6
We have to simplify the expression,
⇒ 5 1/6 - 7 1/3
Firstly we can change it into improper fraction,
⇒ 5 1/6 - 7 1/3
⇒ 31/6 - 22/3
Make denominator same by taking LCM of 6 and 3 which is 6,
⇒ 31/6 - 44/6
⇒ (31 - 44) / 6
⇒ 13/6
⇒ 2 1/6
Therefore, The solution of expression in mixed fraction form is,
⇒ 2 1/6
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what is 852,442 rounded to the nearest thousand?
Answer:
852,000
Step-by-step explanation:
The square of a number is 12 less than 7 times the number. What is the number? –4 or –3 –4 or 3 –3 or 4 3 or 4
Answer:
Answer: D (3 or 4)
Step-by-step explanation:
The expression below can be written in simplest form as
4(2x-5)+7(x+2)
4(2x-5)+7(x+2)
bracket means multiplying
do 4(2x+5) first
4*2x=8x
4*-5=-20
7*x=7x
7*2=14
8x-20+7x+14
do the x first
8x+7x=15x
-20+14=-6
answers: 15x-6 or -6+15x
Need Answer ASAP only 5 min
Answer: 70
Step-by-step explanation:
1. Divide 528 by 264 to get 2
2. Do 2 times 35 to get 70
A gardener measures the heights of 2 plants at the end of every week. The function y=3x+8.5 of plant A in centimeters at the end of x weeks. The function y=2.5x+14.5 gives the height of plant B in centimeters at the end of x weeks.
Answer: Plant A and plant B will be the same height at the end of week 12.
Step-by-step explanation: You don't care about this
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four year
Answer:
Step-by-step explanation:
Step one:
given data
Maya
P=$1650
r=5%= 0.05
t= 4 years
The simple interest expression is
A=P(1+rt)
A=1650(1+0.08*4)
A=1650(1+0.32)
A=1650(1.32)
A=1650*1.32
A=$2178
James
P=$1600
r=8%= 0.08
t=4years
The compound interest expression is
A=P(1+r)^t
A=1600(1+0.08)^4
A=1600(1.08)^4
A=1600*1.360
A=$2176
After 4 years Mayas' balance is $2178
After 4 years James' balance is $2176
the difference is =2178-2176=$2
Solve this equation.
23x−15x=x−1
Answer:
x = -1/7
Step-by-step explanation:
25x - 15x = x - 1
combine like terms
7x = -1
divide
x = -1/7
Answer:
x = -1/7 (the whole fraction is negative)
Step-by-step explanation:
23x−15x=x−1
8x = x - 1
8x - x = x - 1 - x
7x = -1
x = -1/7
what is2/3 divided by 4/5
Step-by-step explanation:
2 /4
3. 5
doing reciprocal
2× 5
3. 4
= 8×15
12
= 120
12
=10 ans
hope it help u..
If Z is the incenter of triangle TUV, WZ = 8x - 22 and ZX = 3x +
8, find ZV. Round to the nearest tenth, if necessary.
PLS HELP
GEOMETRY
9514 1404 393
Answer:
ZV ≈ 42.8
Step-by-step explanation:
WZ and ZX and ZY are each radii of the incircle, so are the same length.
8x -22 = 3x +8
5x = 30
x = 6
ZX = ZY = 3x +8 = 3(6) +8 = 26
ZV is the hypotenuse of right triangle ZVY, which has side lengths of 34 and 26. So, the length of ZV can be found from the Pythagorean theorem as ...
ZV = √(34² +26²) = √1832
ZV ≈ 42.8
5. Using commutativity and associativity of addition of rational numbers, express each<br />of the following as a rational number. <br />1. 2/5 +7/3+-4/5 +-1/3<br />2. 3/7+-4/9+-11 /7 +7/9<br />3. 2/5+8/3+-11 /15+4/5+-2/3<br />4. 4/7+0+-8/9-13/7+17/21<br /><br /><br /><br />So important please tell me fast.
Answer:
[tex] \LARGE{ \underline{\underline{ \pink{ \bf{The \: AnsWer:}}}}}[/tex]
Composition and Structure of the Oceans. Planet Earth has been called the "Blue Planet" due to the abundant water on its surface. Here on Earth, we take liquid water for granted; after all, our bodies are mostly made of water.
As an estimation we are told 5 miles is 8 km.
Convert 24 km to miles.
Answer:
15
Step-by-step explanation:
24*5=120 / 8 = 15
15 is answer.
POINTS plus will mark BRAINLIEST for the correct answer
Answer:
I believe the answer is 9
Step-by-step explanation:
The most balloons she has is 180 and she can make 20 animals with that so 180/20=9
I need help please anyone can help me !!!!
Answer:
5.15
Step-by-step explanation:
I hope this helps have a great day
Chloe drives from her house to her Grandma's house 48 miles away in an hour and 12 minutes. How far could she travel in 9 minutes?
a.12 miles
b.6 miles
c.8 miles
d.24 miles
Answer:
B. 6 miles
Step-by-step explanation:
first you convert the hour and 12 minutes into only minutes
72 minutes
then you set up in a fraction
48/72 = x/9
then solve for x, if you use a calculator it will give you 6
Solve the equation y = ax − b for the variable x.
Answer:
x = y/a + b/a
? is that what you meant
Step-by-step explanation:
Answer:
the answer is d) x = y/a+ b/a
Step-by-step explanation:
brainliest pleasee
i had 50 candies yesterday, and now i have 35. find the percent of decrease
Answer: you lost 15 candies
Step-by-step explanation:
Answer:
30% is the decrease percent
what the slope of (15,9) (-10,3)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]slope = \frac{3 - 9}{ - 10 - 15} \\ [/tex]
[tex]slope = \frac{ - 6}{ - 25} \\ [/tex]
[tex]slope = \frac{6}{25} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
The slope is [tex]\frac{6}{25}[/tex] or [tex]0.24[/tex].
Step-by-step explanation:
This is the formula to calculate the slope from two given points: [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] . Now, substitute (x1, y1) and (x2, y2) for (15,9) and (-10,3). [tex]slope=\frac{3-9}{-10-15}[/tex] . That equation becomes [tex]slope=\frac{-6}{-25}[/tex] . You have to change [tex]\frac{-6}{-25}[/tex] to [tex]\frac{6}{25}[/tex] . The slope is 6/25 or in decimal form, 0.24.
What’s the answer to this please, thanks!
Answer:
8 < x < 16
Step-by-step explanation:
Consider an angle slightly less than 180 between the 4 and 12 ft sides. The measure between the 2 end points is slightly less than the total of the two sides. So the greatest length is 16.
Consider an angle slightly more than 0 between the 4 and 12 ft sides. The measure between the 2 end points is slightly more than the difference between the two sides. So the lowest length is 8.
Which angles are corresponding angles?
try A
Step-by-step explanation:
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \angle \: UTQ \: and \: \angle \: RQO}}}}[/tex]
Step-by-step explanation:
✎ The easiest way to think of a corresponding angles is ' F - pattern ' . In our case , [tex] \angle[/tex] UTQ and ∠ RQO are corresponding angles as they makes F - Shape .
Hope I helped!
Have a wonderful time ! ツ
~TheAnimeGirl
Divide:
285 divided by 45
Which is true about this division problem? Select all that apply.
45 goes into 285 evenly.
45 does not go into 285 evenly.
The quotient contains a repeating decimal.
The quotient contains a terminating decimal.
The quotient is 6.ModifyingAbove 3 with bar.
The quotient is 6.3.
Answer:
Step-by-step explanation:
The true statements are:
45 does not go into 285 evenly.
The quotient is 6 with a remainder of 15.
Here,
To divide 285 by 45, we perform the division:
6
-------
45 | 285
- 270
-------
15
The quotient is 6 with a remainder of 15.
Now, let's analyze the statements:
45 goes into 285 evenly. - False.
45 does not divide 285 evenly since there is a remainder of 15.
45 does not go into 285 evenly. - True.
As explained above, 45 does not divide 285 evenly, and there is a remainder of 15.
The quotient contains a repeating decimal. - False.
There is no repeating decimal in the quotient since the division is a whole number (6).
The quotient contains a terminating decimal. - False.
As mentioned earlier, there are no decimals involved in the quotient; it's a whole number.
The quotient is 6 with a bar above 3. - False.
The quotient is 6 with a remainder of 15, not 6.3.
In summary, the true statements are:
45 does not go into 285 evenly.
The quotient is 6 with a remainder of 15.
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No texto Nascimento do Queijo,qual das crianças criou a teoria mais distante da realidade?
Answer:
ejre' fe trerxto fno
Step-by-step explanation:
Each year, Andrea donates a total of $800 for scholarships at her local community college. This year, she wants the amount she donates for liberal arts to be three
times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.
The equation is Andrea will donate $ for business scholarships and $ for liberal arts scholarships.
Answer:
The equation is [tex]L + B = \$800[/tex]
Andrea will donate $200 for business scholarships and $600 for liberal arts scholarships.
Step-by-step explanation:
Given
Represent Liberal Arts with L and Business with B
From the question, we have that:
[tex]L = 3 * B[/tex]
and
[tex]Total = \$800[/tex]
Required
Determine how much she donates for each
The total L + B is 800
i.e.
[tex]L + B = \$800[/tex]
Substitute 3 * B for L
[tex]3 * B + B = \$800[/tex]
[tex]3 B + B = \$800[/tex]
[tex]4B = \$800[/tex]
Solve for B
[tex]B =\$800/4[/tex]
[tex]B =\$200[/tex]
Recall that :
[tex]L = 3 * B[/tex]
[tex]L = 3 * \$200[/tex]
[tex]L = \$600[/tex]
simplefy the equation
Answer:
i wish i could simply life.
Step-by-step explanation:
This question is easy, but the person who answers this gets 100 points! Be fast!
What is (4 x 4) x ((5^2) x 1)
A. 500
B. 400
C. 50
D. 40
Answer:
B. 400
Step-by-step explanation:
4×4 =16
5^2 = 25
25×1= 25
16×25= 400
Ashley simplified the following expression with the given steps 2(x+4)-(2x-8) 2x+4-2x-8 2x-2x+4-8 0-4 -4 Explain to her what her error was and how to correct it
Which exponential function is represented by the graph?
O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!
Answer:
f(x) = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex]
Step-by-step explanation:
Using the standard form of the exponential function
y = a [tex]b^{x}[/tex]
To find a and b , substitute ordered pairs from the graph
Using (0, 0.5 ), then
0.5 = a[tex]b^{0}[/tex] [
a = 0.5 , so
y = [tex]\frac{1}{2}[/tex] [tex]b^{x}[/tex]
Using (1, 1) , then
1 = [tex]\frac{1}{2}[/tex][tex]b^{1}[/tex] , thus
b = 2
f(x) = [tex]\frac{1}{2}[/tex][tex](2)^{x}[/tex] ← exponential function representing graph