Answer:
see explanation
Step-by-step explanation:
using the identity
cos²x = 1 - sin²x
consider the left side
[tex]\frac{1-cosx}{sinx}[/tex]
multiply numerator/ denominator by (1 + cosx)
= [tex]\frac{(1-cosx)(1+cosx)}{sinx(1+cosx)}[/tex] ← expand numerator
= [tex]\frac{1-cos^2x}{sinx(1+cosx)}[/tex]
= [tex]\frac{sin^2x}{sinx(1+cosx)}[/tex] ← cancel sinx on numerator/ denominator
= [tex]\frac{sinx}{1+cosx}[/tex]
= right side , thus proven
HELP PLS ASAP PLS PLS DUE SOON
Answer:
blank 1: 63 degrees
heart if it helped!
-5(3x - 6 ) = -45
1) x = 2.6
2) x = -5
3) x = 5
4) x = -2.6
What is the solution of the system of equations?
{7/2x−1/2y=9/2
{3x−y=5
Enter your answer in the boxes.
If Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip, then, at that rate, how many gallons of gas would the car use for a 560-mile trip?
Answer:
20 gallons of gas
Step-by-step explanation:
Given that :
8 gallons of gas = 224 mile trip
Miles per gallon of Mrs. Allan's car :
Number of miles / gallons of gas
224 miles / 8 gallons
= 28 miles per gallon
Gallons of gas car will use for 560 miles
Number of miles / miles per gallon
560 miles / 28 miles per gallon
= 20 gallons of gas
identify the equation whose vertical graph is a vertical line.
a) y=2x-1
b) y=2
c) x=2
Answer:
c
Step-by-step explanation:
Natalie was wrapping a gift for a birthday party
and she measured and found she had 3 1/6 yards of
ribbon. After finishing she had 1 3/4 yards of ribbon
remaining. How much ribbon did she use?
Answer:
1 5/12 yds
Step-by-step explanation:
3 1/6 - 1 3/4 = 38/12 - 21/12 = 17/12 = 1 5/12 yds
find total surface area of cylinder is R = 7 cm and H = 10 cm
Step-by-step explanation:
Given radius , r = 7cm
and height , h = 10cm
Surface Area of Cylinder
[tex] = 2\pi {r}^{2} + 2\pi \: rh \\ = 2\pi( {7}^{2} ) + 2\pi(7)(10) \\ = 2\pi(49) + 2\pi(70) \\ = 98\pi + 140\pi \\ = 238\pi {cm}^{2} [/tex]
I will leave it in terms of pi as i am not sure how you want to leave your answer as.
A international company has 26,700 employees in one country. If this represents 31.6% of the company's employees,how many employees does it have in total
Answer:
79762
Step-by-step explanation:
Total number of employees in one country=26,700
Let X= Total number of the company's employees in all countries
31.6% of ( Total number of the company's employees in all countries)=26,700
=[( 31.6/100) × X)] =26,700
Making X subject of the formula we have
X= [(26,700)/( 33.6/100)]
= [26800/0.336]
= 79762 ( approximately)
Hence, Total number of the company's employees in all countries is 79762
someone please please help with this I would really appreciate it !
Answer:
I think this is how the response is meant to be, do you need workings to solve AB aswell?
Your help will be much appreciated. 30 points + brainliest.
find exact value of each of the following using half angle formulas
Answer:
gimme a sec
Step-by-step explanation:
Answer:
a. -.259
b. 3.732
c. -.259
d. 3.72972972973
Step-by-step explanation:
help please i’m confused
Answer:
7/10 pi (radians)
Step-by-step explanation:
The formula for sector area is (angle * r^2)/2
140pi = angle*r^2/2
multiply both sides by 2
280pi = angle * r^2
r = 20 cm (substitute)
280pi = angle * (20)^2
280pi = angle * 400
Divide both sides by 400
7/10 pi = angle
Can someone help me with this bell work, it is due at 2:15. It is attached!
Cuantas cifras se emplean para numerar las 48 paginas de una revista?
Answer:
Para hacer una revista de más de 16 páginas, se cotejan múltiples 'secciones' dobladas ... Entonces 16, 32, 48 páginas etc. ... usted con información técnica sobre números de página, encuadernación y cualquier otra impresión, correo o logística relacionada preguntas. ... El uso de este sitio está sujeto a los Términos y condiciones de uso de nuestro sitio web, que están disponibles aquí.
Step-by-step explanation:
Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.
Answer:
Is that simultaneous equation
You can ask if something is not clear or you don't understand
The solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
y=x-1 ...(1)
2x+y=8...(2)
By using substitution method we solve the value of x and y.
Substitute y value in equation (2)
2x+x-1=8
Combine the like terms
3x-1=8
Add 1 on both sides
3x=9
Divide both sides by 3
x=3
Now plug in x value in y equation.
y=3-1
y=2
Hence, the solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.
Answer:
Question: Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.
Answer:
SA = 2lw+2lh+2hw
SA = 2 X 12 X 5 + 2 X 12 X 8 + 2 X 8 X 5
SA = 392
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Please thank me on my profile if you found my answer here helpful!
A bank offers the following loans:
Bank A Bank B
$105,000
30-year fixed
5.875%
1.25 discount points
M = $621.11
$105,000
30-year fixed
6%
0 discount points
M = $629.53
What is the break-even point for the loans? (4 points)
about 7 years
about 10 years
about 13 years
about 16 years
Answer:
It is bank A and bank B
about 10 years
Which of the following is an algebraic expression that represents the phrase X increased by 20
Answer:
The expression means that X+20
Stacy has a spinner and a number cube after spinning and rolling the number cube she will add two number what is the probability that the sum of the numbers from the spinner and number cube will be 3 or 4
Complete question :
Stacy has a spinner (1 - 4) and a number cube (1 - 6) after spinning and rolling the number cube she will add two number what is the probability that the sum of the numbers from the spinner and number cube will be 3 or 4
Answer:
5 /24
Step-by-step explanation:
The sample space for the sun of the outcome of the spinner and rolled number cube ;
Sample space = total possible outcomes = 6 * 4 = 24
Required outcome = sum equals 3 or 4 = 5
P(obtaining a sum of 3 or 4) = required outcome / Total possible outcomes
P(obtaining a sum of 3 or 4) = 5 /24
Help please, it's for a test due at 11:30 est; Determine if (x-6) is a factor of f(x)=2x^4-3x^3+4x-3. Explain.
Answer:
if we get 0, when we plug the value of f(x) as 6 in f(x) then (x-6) is a factor of f(x)
f(x) = 2x⁴ - 3x³ + 4x - 3f(6) = 2×6⁴ - 3×6³ + 4×6 - 3f(6) = 2592 - 638 + 24 - 3f(6) = 2616 - 641f(6) = 1975f(6) is not equal to 0
then (x-6) is not a factor of f(x) = 2x^4-3x^3+4x-3
What is the solution to the system of equations above?
Answer:
(-2,-2)
Step-by-step explanation:
the x is -2
also the y is -2
Finding arc.. someone help me
Answer:
tyyfjkvtiu6gbygkj
Step-by-step explanation:
Answer:
1. answer 127 2 answer 64 3 answer 128 4 answer 42 hope this helped
Step-by-step explanation:
questions 9 & 10 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!
Answer:
9: one solution
10: 121
Step-by-step explanation:
Hope that helped!! maybe brainliest?
edit: so sorry 9 is actually two solutions not one
the volume in cm³, of a cube of edge is 3cm is
Answer:
27 cm^3
Step-by-step explanation:
edge of cube = a = 3cm
Volume of cube = a^3 = 3^3= 3×3×3 = 27 cm^3
sorry if im wrong plz dont report
(hope this helps can i plz have brainlist :D hehe)
Convert degrees to radians
Show all the work
2. 45
3. 90
Answer:
[tex]\frac{\pi }{4}[/tex] and [tex]\frac{\pi }{2}[/tex]
Step-by-step explanation:
To convert from degrees to radians
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then
(2)
radian measure = 45 × [tex]\frac{\pi }{180}[/tex] ( cancel 45 and 180 )
= [tex]\frac{\pi }{4}[/tex]
(3)
radian measure = 90 × [tex]\frac{\pi }{180}[/tex] ( cancel 90 and 180 )
= [tex]\frac{\pi }{2}[/tex]
Please Help! Geometry
Answer:
x =14, y = 38
Step-by-step explanation:
Quadrilateral JKLM is inscribed in a circle, so it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
[tex]5x \degree + 110 \degree = 180 \degree \\ \\ 5x \degree = 180 \degree - 110 \degree\\ \\ 5x \degree = 70 \degree\\ \\ x = \frac{70}{5} \\ \\ x = 14 \\ \\ 2y \degree + 104 \degree = 180 \degree \\ \\ 2y \degree = 180 \degree - 104 \degree\\ \\ 2y \degree = 76 \degree \\ \\ y = \frac{76}{2} \\ \\ y = 38[/tex]
Ben and Leonidas are twins who are both in Hufflepuff. Ben is ready first,
so he leaves the common room and starts flying to class at an average
speed of 20 km per hour. Half an hour later, Leonidas leaves the common
room on his Firebolt 3000 sports broom and follows the same route,
traveling at an average speed of 70 km per hour. How many minutes will it
take Leonidas to catch up with Ben, starting from when Leonidas leaves
the house?
11 minutes
O 12 minutes
17 minutes
O 20 minutes
Answer:
17 minutes
Step-by-step explanation:
Please help me with the right Awnser
Answer:
40 m2
Step-by-step explanation:
96m² is your Answer:
Solution given:
base[b]=12m
height[h]=8m
we have
Area of parallelogram=b×h=12×8=96m²
help this is khan academy
Answer:
20
Answer:
20
Step by step:
v = l × w × h
v = 2 × 2× 5
v = 4 × 5
v = 20
Create an equation for a different linear function that has twice the rate of change and the same initial value as the one represented by the table
Can someone help me please
No links :/ .
3x+4=20 solve the following question
Answer:
5.33
Step-by-step explanation:
3x=20-4
3x=16
x=5.33
Answer:
x = 16/3
Step-by-step explanation:
3x+4=20
3x = 20 - 4
3x = 16
x = 16/3