Answer:
[tex]1)\\cosec^2x\\2)\\\frac{1}{sin^2x} \\3)\\\frac{1}{1-cos^2x}[/tex]
Step-by-step explanation:
Given :
[tex]cot ^2x+1\\[/tex]
Now,
1)
[tex]cot^2x+1\\\frac{cos^2x}{sin^2x} +\frac{sin^2x}{sin^2x} \\\frac{cos^2x+sin^2x}{sin^2x} \\\frac{1}{sin^2x} \\csc^2x[/tex]
2)
[tex]\frac{1}{sin^2x} =1+cot^2x[/tex]
3)
[tex]\frac{1}{1-cos^2x} =1+cot^2x[/tex]
You roll a standard six sided number cube. What is the probability of rolling a prime number or a number greater than 4?
A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 25% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?
- PLEASE HELP im in the middle of an exam
Answer:
1695.6 cubic feet
Step-by-step explanation:
Given that,
The corn fills 25% of the height of the silo.
The diameter of silo, d = 12 feet
Radius, r = 6 feet
Height, h = 60 feet
The volume of the part of the silo that is filled with corn is given by :
[tex]V=25\%\ of\ \pi r^2 h\\\\=\dfrac{25}{100}\times 3.14\times 6^2\times 60\\\\V= $$1695.6\ feet^3[/tex]
So, the required volume is equal to 1695.6 cubic feet.
Help me please i will give brainliest.
Answer:
1) 13 Students were surveyed
2) 3 students
3) 7 Students
4) 10 Books
Pls mark brainliest
Answer:
13 students were surveyed
3 students read 5 fiction books
7 students read more than 5 fiction books
The maximum number was 10
Step-by-step explanation:
Hope this helps
-Unbrand-
Sadly even though I answered first I didn't get any credit. Quite sickening.
PLZ HELP….
A music store originally purchased a piano at a cost of $892.03 and marked it up 125%. After a few weeks,
however, the store discounted the piano 50% in order to make room for new merchandise. What was the
discounted price?
Answer:
$557.52
Step-by-step explanation:
Solve for marked up price:
892.03 × 1.25
1115.0375
Solve for discounted price:
1115.0375 × 0.50
557.51875
Round up to nearest hundredths place:
557.52
Your answer may vary depending on if you rounded your first answer (1115.0375), but it should be only a decimal or two off from my final answer.
HELP ASAP NEED HELP. WILL GIVE BRAINIEST AND 100 POINTS.
Use the function f(x) = 4x^2 - 7x - 15 to answer the questions.
Part a: completely factor f(x).
Part b: what are the x-intercepts of the graph of f(x)? Show your work.
Part C: describe the end behavior of the graph of f(x). Explain.
Part D: what are the steps you would use to graph f(x)? Justify that you can use the answers obtained in part B and part C to draw the graph.
9514 1404 393
Answer:
a. f(x) = (4x +5)(x -3)
b. x-intercepts: {-1.25, +3}
c. f(x) goes to +infinity as x goes to ±infinity
d. plot the x-intercepts, the vertex, and a few other points; draw a smooth curve through them
Step-by-step explanation:
a. Here, you're looking for factors of (4)(-15) = -60 that have a sum of -7. Those factors will be -12 and +5, so we can factor the function as ...
f(x) = (4x -12)(4x +5)/4
f(x) = (x -3)(4x +5)
__
b. The x-intercepts are the values of x that make the factors zero:
x -3 = 0 ⇒ x = 3 . . . . (add 3)
4x +5 = 0 ⇒ x = -5/4 . . . . (add -5, divide by 4)
__
c. As with all even-degree polynomials with positive leading coefficients, the end behavior of f(x) matches that of |x|:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → ∞
__
d. The vertex of the function will be located halfway between the x-intercepts, at x = (3-5/4)/2 = (7/4)/2 = 7/8. The value of f(x) there is ...
f(7/8) = (4(7/8) +5)(7/8 -3) = -289/16 = -18.0625
Since the leading coefficient is 4, the normal x^2 function behavior is stretched vertically by a factor of 4. So, additional points would be
x = 7/8 ±1, f(x) = -18.0625 +4·1 = -14.0625
x = 7/8 ±2, f(x) = -18.0625 +4·2^2 = -2.0625
The answers of part B locate two points on the graph, and help find the vertex. The answer of part C confirms the graph as opening upward.
__
Additional comment
I find a graphing calculator to be very helpful finding the roots and making the graph.
Can someone please help me!!!
Answer:
Option C
Step-by-step explanation:
same logic as in 2D problems. if C wasn't true, then the two planes couldn't be parallel
The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
Find or approximate the time when the object hits the ground. Explain your method.
The approximate time when the object hits the ground will be 10 seconds.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
h(t) = (49 + 4.9t)(10 - t)
The time when the object hits the ground is calculated as,
h(t) =
(49 + 4.9t)(10 - t) = 0
If (49 + 4.9t) = 0, then the value of 't' is given as,
49 + 4.9t = 0
t = - 10
The value of time is an absolute value. Thus, this can be neglected.
If (10 - t) = 0, then the value of 't' is given as,
10 - t = 0
t = 10 seconds
The approximate time when the object hits the ground will be 10 seconds.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ3
please tell me answers
Answer:
×=50,×+09+673-23
×=(33)+(2×)
the sum of 25 and x is 48 find x. . Solve.
Answer:
x = 23
Step-by-step explanation:
Sum of 25 and x = 48
25 + x = 48
Subtract 25 from both sides
25 - 25 cancels out
48 - 25 = 23
We would be left with x = 23
Answer:
[tex]x =23[/tex]
Step-by-step explanation:
Sum of 25 and x
[tex]25 + x[/tex]
Sum of 25 and x is 48
[tex]25 + x = 48[/tex]
Now lets simply Solve the equation
[tex]25 + x = 48 \\ x = 48 - 25 \\ x =23[/tex]
Hope this helps you.
Have a nice day!
What value of x makes this proportion true?
3/x = 15/40
A. 5
B. 28
C. 8
D. 105
Answer:
here the value of X should be 8 to make this proportion true
3/8=15/40
by cross multiplying
15*8=40*3
120=120
therefore the option C is correct
i need help, an answer or how to- will be fine, thank you. (i’ll mark brainliest if i can)
by solving the first equation you'll get x= -24/13
if you solve the second option (B) then you'll the same result i.e x=-24/13
so option C is correct
The number line diagram shows the distance between each number in a set of ata and the data's mean of 12. Which is the mean absolute deviation? 5 6 H HHH 6 7 8 9 10 11 12 13 14 15 16 17 18 mean
Answer:4
Step-by-step explanation:
The Mean Absolute Deviation is 4 from the data given
Square ABCD has an area of 1600. E is the midpoint of AC and F is the midpoint of AB.
What is the area of the trapezoid BCEF?
O 300 square units
O 1,200 square units
600 square units
O 109 square units
Based on the information marked in the diagram triangle PQR and triangle STU must be congruent
What is the solution to the inequality
|2n + 5| > 1?
Answer:
The solution to the inequality would be n < -3 or n > -2 . Isolate the variable be diving each side by the factors that don’t contain the variable.
Step-by-step explanation:
What is the total are of the felt patch
A. 225 square cm
B. 405 square cm
C. 500 square cm
D.450 square cm
Answer:
B 405
(=20*9 + 25*9)
what are the blue-ish dots on your screen? :|
Help me please, i need this answer I don't know what it is.
Could someone help me, please? I got 4, but I’m not sure.
Answer:
4
Step-by-step explanation:
Find x. Round your answer to the nearest tenth of a degree.
16
х
12
Answer:
1.3
Step-by-step explanation:
tan(x) =16/12
=4/3
=1.33
=1.3
x=tan-1(1.3)
=52.4
The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use?
(7, 3)
(0, 7)
(7, 0)
(3, 7)
Answer:
The point is (7,0).
Step-by-step explanation:
The equation of a linear function in point-slope form is as follows :
[tex]y-y_1=m(x-x_1)[/tex] ...(1)
Where
(x₁,y₁) are the coordinates of the point which the line passes through it and (x,y).
Harold correctly wrote the equation y= 3(x–7)
or we can write it as :
y-0=3(x-7) ...(2)
Comparing equations (1) and (2), we get :
x₁ = 7 and y₁ = 0
So, the point is (7,0).
The correct option is (c).
Answer:
C
Step-by-step explanation:
edge
Given angel theta with cos theta < 0 and sin theta > 0, indicate the quadrant that theta lies in
bearing in mind that cos(θ) < 0, is just another way to say that cos(θ) is negative, and sin(θ) > 0, is just another way to say that sin(θ) is positive.
Check the picture below.
hi so the problem is a recipe calls for a total of 3 2/3 cups of flour and sugar. If the recipe calls for 1/4 cup of sugar, how much flour is needed
1. 3 1/12
2. 3 1/4
3. 5/12
4. 3 11/12
Answer:
3 5/12 cups of flour are needed
Step-by-step explanation:
The flour-sugar total is 3 2/3 cups, of which 1/4 cup is sugar. So, to find the amount of flour used, we subtract 1/4 cup (sugar) from the total (3 2/3 cups):
11 1
----- - ---- where 11/3 is the improper fraction form of 3 2/3
3 4
The LCD is 12. Rewriting this subtraction using the LCD, we get:
44 3
---- - ----- = 41/12 (cups) = 3 5/12 cups
12 12
3 5/12 cups of flour are needed
What is the quotient?
-4/5 divided by 2
Answer:
-0.4
fraction form: -4/10 or -2/5
3x-6y=24 y=Mx+b form
what is the measure of x
Answer:
56.25°
Step-by-step explanation:
cos x° = b/h = 15/27 = 5/9
x° = cos^(-1) (5/9) = 56.25°
+
(10x+2)
→
(9X+18) find the value of x
16
Step-by-step explanation:
10x+2=9x+18
-2 -2
10x=9x+16
-9x -9x
x=16
Hope this helps! :)
Answer:
x = 16°
Step-by-step explanation:
(10x + 2)° = (9x + 18)°
10x + 2 = 9x + 18
10x + 2 - 2 = 9x + 18 - 2
10x = 9x + 16
10x - 9x = 9x - 9x + 16
x = 16°
On Saturday morning, Owen earned $27. By the end of the afternoon he had earned a total of $62. Enter an equation, using x as your variable, to determine whether Owen earned $35 or $33 on Saturday afternoon.
Answer:just hart me n I will help
Step-by-step explanation:
¿Cuántos quilómetros recorrerá una locomotora en 5 horas, si marcha a una velocidad de 82 kilómetros
por hora?
Step-by-step explanation:
Datos;
una locomotora
recorre 5 horas
a una velocidad de 82 km/h
Se asume que la locomotora lleva un movimiento rectilíneo uniforme.
Su recorrido esta descrito por la siguiente ecuación de posición;
x = x₀+ v · t
x-x₀ = d = v · t
siendo;
d = distancia recorrida
v = 82 km/h
t = 5 horas
Sustituir:
d = (82)(5)
d = 410 km
82km/h * 5h= 410km
La locomotora recorrerá 410km
A chef got 9 bags of onions. The red onions came in bags of 6 and the yellow onions came in bags of 7. If the chef got a total of 59 onions, how many bags of each type of onion did he get?
Answer:
yellow = 5 bags
red = 4 bags
Step-by-step explanation:
two equations can be derived from the question
x + y = 9 equation 1
6x + 7y = 59 equation 2
where x = number of red onion bags
y = number of yellow onion bags
Multiply equation 1 by 6
6x + 6y = 54 equation 3
subtract equation 3 from 2
y = 5
substitute for y in equation 1
x + 5 = 9
x = 9 - 5
x = 4
Carroll bikes 1 kilometer east, 4 kilometers north, and then 5 kilometers east again. How far is Carroll from her starting position?
Answer:
10.5 km
Step-by-step explanation:
this can be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
1² + 4² =
1 + 16 = 17
√17 = 4.123km
4² + 5²
16 + 25 = 41
√41 = 6.40 KM
total distance = 6.4 + 4.12 = 10.52
