Step-by-step explanation:
a)
[tex]\sin^{2}x + \cos^{2}x = 1[/tex]
Dividing both sides by sin^2x, we get
[tex]1 + \frac{\cos^{2}x }{ \sin^{2}x} = \frac{1}{\sin^{2}x } [/tex]
The 2nd term on the LHS is simply cot^2x and the RHS is simply csc^2x
[tex]1 + \cot^{2}x = \csc^{2}x[/tex]
b)
[tex]2 \sin x = 1[/tex]
[tex] \sin x = \frac{1}{2} [/tex]
[tex]x = \sin^{ - 1} (\frac{1}{2}) = \frac{\pi}{6} [/tex]
You can also graph it to arrive at the solution.
Did u get help
On you question?
A survey went out asking consumers about their shopping habits. The results showed that
165 people were more likely to go to a store if they had a coupon. This represents 66% of
the total number of people who took the survey
How many people took the survey?
F: 25
G: 109
H: 199
J: 250
Answer:
G
Step-by-step explanation:
In math whenever you have the word "of" it means multiply, so 66% of the total number of people who took the survey( which is 165) is 66/100 multiplied by 165.
[tex]\frac{66}{100} *165= 108.9[/tex] which rounds up to 109
[tex]\huge\mathfrak\red{solve \: please..} \\ \\ \huge\mathcal\purple{ {2}^{2} + 3 {}^{2} = {?} } \\ \\ \huge\mathfrak\green{asap \: \: ..thanks.}[/tex]
Answer:
[tex]2^2+3^2[/tex]
[tex]2^2=4[/tex]
[tex]3^2=9[/tex]
[tex]=4+9[/tex]
[tex]=13[/tex]
----------------------
hope it helps..
have a great day!!
EASY MATH PLEASE HELP!! : ) : )
NO LINKS PLEASE
EXPLANATION REQUIRED
A new school is ordering math textbooks. They are 3/4 of an inch thick. How many of these books will fit into a bookshelf that is 2 feet long?
A) 2 books
B) 12 books
C) 26 books
D) 32 books
Answer:
32 Books
Step-by-step explanation:
You know that the bookshelf is 2 feet long, and you know the book is 3/4 inches thick. To start you have to get a common measurement in this case we will use inches. You already know that 1 foot is 12 inches so 2 feet will be 24 inches. Next all you do is divide the 24 inches by 3/4 inches. This will give you 32 which is the total amount of books that can fit on the bookshelf.
Help out
Sishsbnxbxbxxnxj
Answer:
y=-6/5x -8
Step-by-step explanation:
slope is the same as gradient(m) so find the c in the equation y=mx+c using the point (-5,-2) which gives u -8 then substitute values of m and c in that very equation
Answer:
[tex]y=-\frac{6}{5}x-8[/tex]
Step-by-step explanation:
Same process as the other two lol
y= -(6/5)x+b
solve for b by plugging in the required coordinates
-2= -(6/5)(-5)+b
-2= 6+b
-8=b
put it all together
A square is rotated clockwise about center point P.
Click on all the degrees of rotation that will carry the square onto itself,
45
900
120
135
180
225
240
270
315
360
The degrees of rotation that will carry the square onto itself are,
⇒ 90°, 180°, 270°, 360°
Since, A Square is a two dimension figure with 4 sides, 4 corners and 4 right angles. All the sides of the square are equal and parallel to each other.
Given here:
A square is rotated clockwise about center point P.
Now , Since there are have 4 vertices, your starting vertex can land in 4 different starting places and still come up with the same figure.
So if you take 360/4 you get 90 degree rotations to each consecutive vertex.
or more specifically;
= 360/4
= 90
Hence, the square will coincide itself after every integral multiple of 90.
Thus, 90°, 180°, 270°, 360° are the required angles of rotation.
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The number of miles a car travels varies directly with the number of gallons of gas in its tank of a car with 20 gallons of gas can drive 560 miles which equation represents the number of miles an
Answer:
28 miles per gallon
560/20=28
Step-by-step explanation:
Plz give me brainliest
Number of miles a car travels are 28.
What is division?The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Number of gallons of gas = 20
A car with 20 gallons of gas can drive 560 miles
Based on the given conditions,
= [tex]\frac{560}{20}[/tex]
= 28
Hence, number of miles are 28.
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Determine the period.
Answer:
the period is the to top points of the highest points on top of the crests
The period of function is,
P = 5
Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.
Here, Graph of function is shown.
Hence, The period of function is,
P = 10/2
P = 5
Because there is two wave are shown.
Therefore, The period of function is,
P = 5
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Paula has her own business making cakes for
special occasions. The total price (p) of one
of Paula’s cakes is represented by the equation
p=0.75s +10 , where s is the number of
people the cake serves. What does the .75
represent in this situation and what does the 10 represent in this equation?
Answer:
Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:
P is the price of the cake
S is the number of servings
Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)
In turn, 10 is the fixed cost of each cake.
A building has three elevators. Each elevator is out of order 10% of the time.
The following set of random numbers represents 20 simulations of the
elevators, with 0 representing a broken elevator and 1,2,3,4,5,6,7,8, and 9
representing a working elevator. In how many of the simulations were all
three elevators working?
Answer:18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Can anyone help on this i don't understand it
the chooses for the choose is
15
12
10
14
11
13
9
Can someone please help me!
Answer:
A)
Step-by-step explanation:
it is clearly reduced so you can eliminate the middle two options as answers;
reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction
a triangle has vertices r(1,2), s(3,3) and t(-3,4)
Give The Rest of the question
Answer:
Reflection about x axis
r(1,2)-----------r'(1,-2)
, s(3,3) ..........s'(3,-3)
and t(-3,4).....t'(-3,-4)
Please help me find the mean and the range.
mean: 5.5 hours
range: 7.9 hours
Find the mean for the following set of data. Write the NUMBER ONLY for the answer.
25, 27, 30, 15, 18, 24, 15
Answer:
22
Step-by-step explanation:
25+27+30+15+18+24+15 all divided by 7
PLS HELP ILL GIVE BRAINLIEST
What are the coordinates of the center of the ellipse?
Answer:
Step-by-step explanation:
Standard equation of an ellipse,
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
(h, k) is the center of the ellipse
Value of a = Distance of the center from the vertex
b = Distance of the center from the covertex
From the picture attached,
a = Distance of the center (h, k) from the vertex (2, -2) = 3 units
b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit
Center of the ellipse (h, k) = (-1, -2)
Please help me I will give 30 points
Answer:
a, c, & d
Step-by-step explanation:
-6,1 , 0,5 , 1,7 hope this help
Marulla's z score on a college entrance exam is 1.3. If the raw scores have a mean of 480 and a standard deviation of 70 points, what is her raw score?
Answer:
571
Step-by-step explanation:
We solve using z score.
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 480
σ is the population standard deviation = 70
z = 1.3
Hence,
= 1.3 = x - 480/70
Cross Mulitiply
1.3 × 70 = x - 480
91 = x - 480
x = 480 + 91
x = 571
Therefore, Marulla's raw score is 571
IM BEING TIMES HELPPPPPPPP THANK YOUUUUUUU
Answer:
1. make both equal, so...
-14/24 + 9/24
=-5/24
Step-by-step explanation:
what is the point of intersection of the x-axis and the y-axis called
a xcoordinate
b origin
c y-coordinates
d quadrant
b)origin
The point of intersection (0, 0) is called the origin.
Hope it helps you
Add t to 2 then add 4 to the result
Answer:
1. 2+t= 2t
2. 2t+4= 2t+4
Landon earns 10% commission on his total sales. What must be his total sales in oder to earn a commission of $ 145?
Answer: [tex]\$1450[/tex]
Step-by-step explanation:
Given
Landon earns a 10% commission on his total sales
Suppose his total sales is x to get a commission of $145 i.e.
[tex]\Rightarrow x\times 10\%=145\\\Rightarrow 0.1x=145\\\Rightarrow x=\$1450[/tex]
Therefore, the amount of total sales must be $1450
PLEASEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
f(x)=2x2−10x+11 What is f(4)?
Set the polynomial equal to y y to find the properties of the parabola. y=2x2+10x+11 y = 2 x 2 + 10 x + 11. Rewrite the equation in vertex form. Tap for more steps.
50 POINTS!!! HELP ME PLEASE!!!!
Step-by-step explanation:
1. 3.6 x 10^-1
2. 3.1 x 10^6
3. 5.3 x 10^-6
4. 4.2 x 10^-1
What is the mode for the following set of data?
5, 7, 9, 11, 13, 13
A. 8
B. 9.7
C. 10
D. 13
Answer:
Hello!
answer: 13
Step-by-step explanation:
The mode is simply just the number that is shown the most in the data set so as you can see 13 is shown the most so 13 is our mode Hope that helps!
A pole that is 12 feet tall casts a shadow that is 9 feet long. At the same time of day, how long is the shadow cast by a tree that is 45 feet tall?
A. 27 ft
B. 29.25 ft
C. 31.5 ft
D. 33.75 ft
plz help i have been asking this question way too much
Answer:
10/3 or 3 1/3
Step-by-step explanation:
3. How many different ways can the letters in the word grade be arranged?
Answer:
Six letters---6
Step-by-step explanation:
You Welcome G!
The solution is, the letters in the word GRADE can be arranged in 120 ways.
What is combination?In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.
here, we have,
Given that we are to evaluate the number of ways to arrange the letters in the word GRADE,
In the word GRADE, we have 5 distinct letters:
G(1), R(2), A(3), D(4), E(5).
There are 5 letters.
Thus, the number of ways of arranging the letters is evaluated as
5! = 1×2×3×4×5
=120
Hence, the letters in the word GRADE can be arranged in 120 ways.
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help!!!!!!!!! i am really confused and need help
Answer:
g(-3)= -3^3-7
= -27-7
= -34
Malcom is filling bags with rice. He starts with 5 1/4 lbs. container of rice and fills each bag with 5/8 pound of rice. How many bags can Malcom fill?