[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}[/tex]
Multiply through the second term by [tex]1+\sin(t)[/tex] :
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}\cdot\dfrac{1+\sin(t)}{1+\sin(t)}[/tex]
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{1-\sin^2(t)}[/tex]
Recall that [tex]\cos^2(x)+\sin^2(x)=1[/tex] for all x :
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{\cos^2(t)}[/tex]
If [tex]\cos(t)\neq0[/tex], we can cancel a factor of it in the second fraction.
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{1+\sin(t)}{\cos(t)}[/tex]
and this simplifies to
[tex]\dfrac{(1+\sin(t))-(1+\sin(t))}{\cos(t)} = \boxed{0}[/tex]
Part 1: find measure of X
Part 2: find measures of PS and QR
Answer:
Step-by-step explanation:
Jim makes $12.50 per hour when he works. How much money does he make when he works one hour?
1) $25.00
2) 1
30 $12.50
Answer:
3) $12.50
Step-by-step explanation:
12.50(1) = 12.50
Hope this helps :)
In a class of 28 students, 11 play an instrument and 5 play a sport. There are 2
students who play an instrument and also play a sport. What is the probability that a
student chosen randomly from the class plays a sport or an instrument?
Answer:
50% or 0.5
Step-by-step explanation:
Based on the given conditions, formulate: (5+11-2)÷28
Calculate the sum or difference: 16-2/28
Calculate the sum or difference: 14/28
Cross out the common factor: 1/2
get the result: 50% or 0.5
Answer: 50% or 0.5
g(n)=−50−15ng, left parenthesis, n, right parenthesis, equals, minus, 50, minus, 15, n Complete the recursive formula of g(n)g(n)g, left parenthesis, n, right parenthesis. g(1)=g(1)=g, left parenthesis, 1, right parenthesis, equals
Answer:
g(n) = g(n-1) -15
g(1) = -65
Step-by-step explanation:
We can find the recursive formula from the explicit formula for this arithmetic sequence by substituting 1 and (n+1) for n in the explicit formula.
__
g(n+1) = -50 -15(n+1) = (-50 -15n) -15 . . . . . find g(n+1)
g(n+1) = g(n) -15
and ...
g(1) = -50 -15(1) = -65
Then the recursive formula can ge written as ...
g(n) = g(n-1) -15
g(1) = -65
_____
Additional comment
We found g(n+1) = g(n) -15. Substituting n-1 for n in this formula puts it in the form we need for answering the question:
g((n-1)+1) = g(n-1) -15
g(n) = g(n -1) -15
Either of these forms tells you how to get the next term from the previous one.
Answer:
g(n) = g(n-1) -15
g(1) = -65
Step-by-step explanation:
answer on khan
Find the distance between the points
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]
solve for z: -42z^2 = 14z
[tex]\\ \rm\Rrightarrow -42z^2=14z[/tex]
[tex]\\ \rm\Rrightarrow 42z^2=-14z[/tex]
[tex]\\ \rm\Rrightarrow 3z^2=-z[/tex]
[tex]\\ \rm\Rrightarrow 3z=-1[/tex]
[tex]\\ \rm\Rrightarrow z=-1/3[/tex]
Another root is 0Answer:
[tex] - \frac{844}{29} z[/tex]
Step-by-step explanation:
I hope to help
28x+1=32x-1 solve for x
Answer:
x = 1/2
Step-by-step explanation:
28x + 1 = 32x - 1 <== subtract 28x from both sides
-28x -28x
1 = 4x - 1 <== add 1 to both sides
+ 1 + 1
2 = 4x <== divide both sides by 4 to isolate the variable
/4 /4
1/2 = x
Hope this helps!
[tex] \Large{\boxed{\sf x = \dfrac{1}{2} }} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 28x + 1 = 32x - 1 [/tex]
[tex] \\ [/tex]
Subtract 28x from each side :
[tex] \sf 28x + 1 - 28x = 32x - 1 - 28x \\ \\ \sf 1 = 4x - 1 [/tex]
[tex] \\ [/tex]
Add 1 to both sides:
[tex] \sf 1 + 1 = 4x \\ \\ \sf 2 = 4x [/tex]
[tex] \\ [/tex]
Divide both sides by 4:
[tex] \sf \dfrac{2}{4} = \dfrac{4x}{4} \\ \\ \\ \boxed{\boxed{\sf x = \dfrac{1}{2} }} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about equations here:
↣https://brainly.com/question/19225782
Thirty percent of what number is 123?
The answer is 410
Hope this helps!!
Answer:
30% also means 30/100 in fraction form.
(Think of the root 'per' in percent to be per a 100.)
The keyword 'of' means multiplication.
'X' will be the unknown number aka the part that says ('-what number').
And 123 will represent the result.
Set up equation;
30/100 · x = 123Then solve for x;
30/100x = 1230.3x = 123÷ 0.3 ÷ 0.3x = 410So your answer is 410.
A student's workout is graphed on the grid below. What’s the domain and range?
Answer:
Domain [0,50] and Range [0,100]
Step-by-step explanation:
The domain of a graph is the values that x takes on in the graph.
We see the x values for the graph go from 0 to 50.
Since both ends of the graph are closed circles we will use brackets:
D [0,50]
The range of a graph is the values that y takes on in the graph.
We see the y values for the graph go from 100 to 0.
R [0,100]
We can also write them in interval notation:
Domain: [tex]0\leq x\leq 50[/tex]
Range: [tex]0\leq y\leq 100[/tex]
The population of a city decreases by 3.9% per year. If this year's population is 200,000, what will next year's population be, to the nearest individual?
What is the value of the x-coordinate of point A?
How was it determined that the base is 8 units long and the height is 3 units?
Answer:
Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height
Step-by-step explanation:
Find the 14" term
7, 14, 28, 56,
Step-by-step explanation:
it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.
and then I see
7 × 2 = 14
14 × 2 = 28
28 × 2 = 56
ok, so the sequence is created by always multiplying by 2.
a1 = 7
a2 = a1 × 2 = 7 × 2 = 14
a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28
an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)
a14 = 7 × 2¹³ = 7 × 8192 = 57,344
if 15% of a class of 20 students were boys, how many boys and girls?
Answer:
15 percent of 20 is 3. so there are 3 boys and 17 girls in the class.
Step-by-step explanation:
Given p(x) = -4(x-15)[tex]p(x) = -4(x-15)x^{2} +2.[/tex]
3. Nine more than the quotient of a number and 4 is 12.
Answer: x = 12
Step-by-step explanation:
9 + (x/4) = 12
x/4 = 3
x = 12
find the area of a circke with a radius of 9 mm. round to the nearest tenth. use 3.15 or 22/7 for Pi.
Answer:
254.3 mm^2
Step-by-step explanation:
Area of a circle: A = π*r^2
π (pi) = 3.14
r (radius) = 9 mm
Substitute 3.14 for pi and 9 for radius:
A = π*r^2
A = 3.14*9^2
A = 3.14*81
A = 254.34 mm^2
Round to the nearest tenth:
254.34 ==> 254.3
Therefore, our final answer is 254.3 mm^2
Hope this helps!
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Answer:
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Umang gained 20% by selling a watch for rs 2400 then find the cost price. if he gain 30% at what price should have he sold it.
Answer: Rs. 3120
Step-by-step explanation:
So...
rs. 2400 is the cost as of when it was overpriced by 20%
10%=240
20%= (240+240)= 480
Rs. 2400-480= Rs. 1920 which is the original price before the 20% was added making the price 2400 INR
Now we need to find what 30% is to find out the price if 30% was added to the original cost
so...
If 10%=240
30%=(240+240+240)= Rs. 720
Rs. 2400+720= Rs. 3120
Rs. 3120 is the price the watch was sold at when 30% was added onto the original price and the owner gained 30%.
2. What is the solution to the following equation? 2.2(4a + 5) = 1.8a - 3 A. a = -7 B. a = -2 C. a = 2 D. a = 7
Answer:B.a= -2
2.2(44a+5)=1.8a-3
8.8a+11=1.8a-3
8.8a-1.8a=-3-11
7a=-14
:a=-2
Step-by-step explanation:
What are the measures of Angles a, b, and c? Show your work and explain your answers.
IM NOT LOOKING FOR ANY JOKES OR STUFF, JUST STRAIGHT UP SHOW THE WORK AND THE ANSWER PLEASE. (30 PNTS IF ANSWERED CORRECTLY) NEED HELP ASAP!
Answer:
a= 30
b= 60 (pretty sure)
c=105
Step-by-step explanation:
a is a vertical angle to 30, so that means it is also equal to 30.
To find b, since it's on a straight line, you can add up the angles in the triangle and solve for b.
30+90=120
120+b=180
b=60
To find c, you subtract 75 from 180 since it's also a straight line equal to 180 degrees.
How many centimeters is 0.2 meters
Answer:
there are 20 centimeters in 0.2 meaters
Answer:
1 meter = 100 centimetres
0.2(meters) x 100(centimetres that make up 1 meter)
= 20 centimetres.
Expand & simplify
4
(
g
+
4
)
−
6
(
g
+
2
)
Answer:
i dont know I have the same questions aswell
Help please
10(5-n)-1=29
Hey there!
10(5 - n) - 1 = 29
10(5) + 10(-n) - 1 = 29
50 - 10n - 1 = 29
49 - 10n = 29
-10n + 49 = 29
ADD 49 to BOTH SIDES
-10n + 49 - 49 = 29 - 49
WORK IT OUT or SIMPLIFY IT!
NEW EQUATION: -10n = -20
DIVIDE -10 to BOTH SIDES
-10n/-10 = -20/-10
WORK IT OUT or SIMPLIFY IT AS WELL!
n = 2
Therefore, your answer is: n = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
n=2
Step-by-step explanation:
Step #1. Distribute the 10 to (5-n) which is 50-10n
Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29
Step #3. Subtract. -10n+49-49=29-49
Step #4. Simplify again. -10n = -20
Step #5. Divide. -10n/-10= -20/-10
Step #6. Simplify again. n=2
There you have it! N is equal to 2! please mark be as brainliest if you can.
Hope this helps!
What method would you choose to solve the equation 2x 2squared – 7 = 9? Explain why you chose this method.
Answer:
Step-by-step explanation:
(2x2squared-7)2squared=9 2squared
4x4squared-28x2squared+49=81
4x4squared-28x2squared=81-49
4x4squared-28x2squared=32
the perimeter of an isosceles triangle is 45 inches. 2 sides of the triangle are congruent and the third side is twice as long as the sum of the congruent sides. what is the length of the third side of the triangle in inches
Answer:
did this bring a pic because i might need it to answer the question since its not answerable if theres no more details
Step-by-step explanation:
5 1/3 - 2/3 ( this is fractions)
5 1/3 - 2/3
= (5 – 0) + (1/3-2/3)
= 5 + 1-2/3
= 5 +-1/3
= 4 2/3
in fraction:
= 4 2/3
in decimal:
= 4.6666666666667
Use a trigonometric ratio to find the value of x. Round your answer to nearest tenth.
C. 15.5 cm
D. 10.9 cm
E. 12.7 cm
Answer:
the Answer is D I think I know
Answer:
e
Step-by-step explanation:
8.9×tan(55)=x
12.71051726
12.7
I need help with thissss fasttt thank youuu!!
Answer:
6 x 40 - 3 x 60
Step-by-step explanation:
sorry i cant answer rn but if you put the equation above into a calculator it should tell you!
hope this helps<3
Answer:
50
Step-by-step explanation:
3 × 10 to the 6 is 3,000,000
6 × 10 to the 4 is 60,000
3,000,000 ÷ 60,000 is 50
another question !!!
Answer:
All are complementary angles
Step-by-step explanation:
See attachment
