Simplify csc θ(1−cos^2 θ)/sinθ cos θ to a single trigonometric function
Answer:
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
Step-by-step explanation:
Step(i):-
Given that the trigonometric function
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
we know that sin²∝ + cos²∝ = 1
⇒ sin²∝ = 1- cos²∝
Now we have to simplify the given trigonometric function
= [tex]\frac{cosec\alpha(sin^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
= [tex]\frac{cosec\alpha(sin \alpha ) }{ cos\alpha }[/tex]
Step(ii)
we know that cosec∝ = 1/ sin∝
= [tex]\frac{\frac{1}{sin\alpha } (sin \alpha ) }{ cos\alpha }[/tex]
After cancellation sine function, we get
= [tex]\frac{1 }{ cos\alpha } = sec\alpha[/tex]
Final answer:-
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
Miya is selling grapefruit and nuts for a fundraiser. The grapefruits cost 5 dollars each and a bag of nuts cost 15 dollars each. She sells 30 items and made 250 dollars. How many grapefruits did she sell?
Answer:
A) 5G + 15N = 250
B) G + N = 30 We'll multiply B) by -5
B) -5G -5N = -150 then we add A)
A) 5G + 15N = 250
10N = 100
N = 10 bags of nuts ($150.00)
We put N=10 into A)
A) 5G + 150 = 250
A) 5G = 100
G = 20 Grapefruits ($100.00)
Step-by-step explanation:
The surface areas of two similar containers are 1500 cm² and 375 cm². The
volume of the smaller container is 450 cm squared. What is the volume of the larger
container, to the nearest whole number?*
Answer:
1800cm^3
Step-by-step explanation:
Since you know that the containers are simular your gonna want to know the difference. so you would do 1500/375 (The two Surface areas) to get 4 which is the differnce.
The Volume now looks like x/450 - So to find x or the volume of the larger container you would multiply 450x4 which equals 1800
Hank's Bicycle Rentals charges an initial fee of $15 and an hourly rate
of $4.50 to rent a bicycle. Maria's Bicycle Rentals charges an initial fee of
$12 and an hourly rate of $5.00. For how many hours of renting a bicycle
would the two rental companies charge the same amount?
Answer:
6
Step-by-step explanation:
At 6 hours they both charge $42
The length of a freeway is 600 miles. If 0.5 inch represents 50 miles, what is the length of the freeway on the map?
Sarah drives her car for 2 1/2 hours with a constant speed of 60 mph. What is the distance Sarah traveled?
Answer:
Bro I gave you the answer fully explained and then some noob deleted it so Im sorry your answer is 150 miles because 60 minutes in one hour and she drove 2.5 hours which is 150 miles. Hope this helps
Step-by-step explanation:
Which property can be used to solve the equation?
d/10 = 12
O addition property of equality
O subtraction property of equality
O multiplication property of equality
O division property of equality
Answer:
D
Step-by-step explanation:
Find the missing angles of 2 questions.
Answer:
x= - 6
Step-by-step explanation:
[tex]for \: 3 \\ u = 360 - 55 - 145 - 30 - 55 = 75[/tex]
[tex]for \: 4 \\ head \: opposite \: angels \\ first \\ 360 - 130 - 130 = 100 \\100 = (2x + 56 + 56) = 2x + 112 \\ 2x = 100 - 112 = - 12 \\ x = - 6[/tex]
Find the value of x, rounded to the nearest tenth?
Answer:
Step-by-step explanation:
we can use the trigonometric function in a right triangle
cos x = adjacent side to the angle /hypothenuse
cos 36°= x/10 ; multiply both sides by 10
10 * cos 36° = x ; make sure your calculator mode is in degrees
8.1 = x
The sum of two numbers is 52. The difference of the two numbers is 6. Find the two numbers.
b) Write the equations.
Answer:46
Step-by-step explanation:
Select the correct answer. Which operation gives a result of 1.39? A. sum of 2.39 and -130 B. sum of 0.63 and 1.25 C. sum of -2.96 and 4.35 D. sum of -5.66 and 1.25
Answer:
The answer is -2.96 + 4.35
Answer:
-2.96 + 4.35
I hope this helps
Over the holiday break, Ms. Horton baked a ham that was 19 1/4 pounds.
By the end of the night there was 6 7/10 pounds left. How much turkey was
eaten that night?
Answer:
12 11/20
Step-by-step explanation:
the answer to the question is 12 11/20
the x-intercepts of the graph of y=2x^2-16x+30 are (3,0),(5,0) ? what is the x-coordinate of the vertex?
Answer:
x=-4
Step-by-step explanation:
vertex formula is -b/2a
-(16)/2(2)
x=4
Consider the following quadratic equation:
10x2 = -15x
i need help asap!! using standard form ax^2+bx+c=0
A plot of land is an irregular triangle with a base of 112 feet and a height of 47 feet. What is the area of the plot?
The area of irregular triangle is 2632 sq. ft.
What is Triangle?A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as △PQR.
Here, given dimension of irregular triangle;
base = 112 feet.
height = 47 feet.
we know that,
Area of triangle = 1/2 X Base X Height
= 1/2 X 112 X 47
= 56 X 47
= 2632 ft²
Thus, the area of irregular triangle is 2632 sq. ft.
Learn more about Triangle from:
https://brainly.com/question/2773823
#SPJ2
QUICK HELP GIVING BRAINLIEST AWAY
Answer:
-6
Step-by-step explanation:
8 - 2 = 6
But, its has - in it so with that being said, its -8 minus -2 = -6
Answer:
-6
Step-by-step explanation:
hope this helps!
find the value of m, if
(1/4)^2m × (1/4)^m = (1/4)^6
Answer:
m = 2
Step-by-step explanation:
[tex] { \bigg( \frac{1}{4} \bigg)}^{2m} \times { \bigg( \frac{1}{4} \bigg)}^{m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ { \bigg( \frac{1}{4} \bigg)}^{2m + m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ { \bigg( \frac{1}{4} \bigg)}^{3m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ \because \: bases \: are \: equal \\ \therefore \: exponents \: will \: also \: be \: equal \\ \\ \implies3m = 6 \\ \\ \implies \: m = \frac{6}{3} \\ \\ \huge \red{ \boxed{\implies \: m = 2 }}\\ [/tex]
How many yards are equivalent to 18 inches?
Answer:
0.5 yards
Step-by-step explanation:
jason went to the store to buy a trampoline with his dad the trampoline was 60% off and they paid $90 how much did it cost without the discount
Answer:
It costed $150 dollars
Step-by-step explanation:
You divide 90 by 60 to get 1.5 then you multiply that by 100 to get 150
What is the constant term in the expression?
15a + 10b + 5 – 7b
Answer:
5
Step-by-step explanation:
15a , 10b , and -7b are coefficients.
Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.
9514 1404 393
Answer:
circle of radius 27 inches
Step-by-step explanation:
Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.
The cross section is a circle of radius 27 inches.
Which of the following fractions compares BC to BD?
2/3
5/2
2/5
3/2
Answer:
2/3
Step-by-step explanation:
brainliest
The fraction that compares BC to BD is 2/3.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
The distance between B and C is 2-0 = 2 units horizontally and 1-1 = 0 units vertically, so BC is a horizontal segment of length 2 units.
The distance between B and D is 3-0 = 3 units horizontally and 1-1 = 0 units vertically, so BD is also a horizontal segment of length 3 units.
Therefore, BC/BD = 2/3.
So the fraction that compares BC to BD is 2/3.
To learn more about fractions;
https://brainly.com/question/10354322
#SPJ2
Jada has a vegetable garden. Two-thirds of the garden is made up of tomato plants. Four-fifths of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beefsteak tomatoes?
Answer:
8/15
Step-by-step explanation:
The problem states that Jada has a vegetable garden made up of 2/3 tomato plants, of which 4/5 are beefsteak tomatoes. Therefore, to determine the portion of the garden that is made up of beefsteak tomatoes, both fractions must be unified in the same common divisor.
Thus, since the common least multiple of 3 and 5 is 15 (3 x 5), the fraction 2/3 can be calculated as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be calculated as 8/10, since the common lower multiple of 5 and 10 is exactly 10.
Therefore, 8/15 of Jada's vegetable garden are beefsteak tomatoes.
Answer:
8/15
Step-by-step explanation:
write the fraction 4/12 as a division expression
Answer:
4 ÷ 12 = 0.33333333333
Step-by-step explanation:
Find the volume of the following cube.
A. 12 cubic yards
B. 16 cubic yards
C. 46 cubic yards
D. 64 cubic yards
Step-by-step explanation:
Volume of a cube
= (Side length of cube)³
= (4 yards)³
= 64 cubic yards. (D)
there is more i need to take more pictures of it
Triangle ABC is shown below. Which point is the coordinate of the image of
Step-by-step explanation:
there is no image how am I supposed to solve it
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps :)
Which statement about the graph of y= 3x+5 is correct?
a. The line passes through the ordered pair (3, 0) and has a slope of 5.
b. The line passes through the ordered pair (0,5) and has a slope of 3.
c. The line passes through the ordered pair (5,20) and has a slope of 5/3
d. The line passes through the ordered pair (3, 14) and has a slope of 3/5
Answer:
b. The line passes through the ordered pair (0,5) and has a slope of 3.
Step-by-step explanation:
The equation given is in slope-intercept form.
[tex]y= mx+b[/tex]
m = slope
b = y-intercept
The slope is 3 in the equation. 3 is in m's spot.
[tex]y=\boxed{m}x+b\\\\y=\boxed{3}x+b[/tex]
The y-intercept is 5. This means that the line will pass through (0,5).
[tex]y=mx+\boxed{b}\\\\y=3x+\boxed{5}[/tex]
The correct option should be B.
Hope this helps.
a band is playing a 5000 seat arena and determines that if it sells tickets for $50 each, it will only sell 2,000 tickets. at decides to sell tickets at reduced prices in order to sell more tickets, and discovers that that for each $5 it reduces prices, it will sell an additional 500 tickets. what is the optimal ticket price if the band wants to maximize the revenue from this concert?
Answer:
375,000$?
Step-by-step explanation:
Answer:
Optimal ticket price is $35
Step-by-step explanation:
$50 -> 2000 tickets => $100,000 revenue
each $5 drop in price equals 500 more tickets sold
$40 -> 3000 tickets => $120,000 revenue
$35 -> 3500 tickets => $122,500 revenue
$30 -> 4000 tickets => $120,000 revenue
$25 -> 4500 tickets => $112,500 revenue
$20 -> 5000 tickets => $100,000 revenue
Plz help I really need it
Answer:
PLZ HELP I ALSO REALLY NEED HELP ON A QUESTION
Step-by-step explanation:
Rose wants to get 90% on a 40 question quiz. How many questions must she get correct?