Answers
The cosecant of angle y is z/y.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Hypotenuse = z
Perpendicular = y
Base = x
As, Cosecant is the ratio of Hypotenuse to perpendicular
Using Trigonometry
cos y = H/ P
cos y = z/ y
Hence, the cosecant of y is z/y.
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Related Questions
A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone?
Answers
Cylinder Volume = 3.14159 * 1 * 21
Cylinder Volume = 65.97 cc
Volume Cone = [PI * radius^2 * height] / 3
radius^2 = 3 * 65.97 / (3.14159 * 7)
radius^2 = 9
radius = 3 centimeters
20 Points!!!
For working 13 hours you earned $45.50 and $94.50 for 27 hours. What is your rate of pay in dollars per hour? a. 14 dollars per hour b. 3.50 dollars per hour c. 6.50 dollars per hour d.2.07 dollars per hour
Will give branliest!!!
Help ASAP.
Answers
Answer:
$3.50 per hour
Step-by-step explanation:
Given : For working 13 hours you earned $45.50 and $94.50 for 27 hours
To Find :What is your rate of pay in dollars per hour?
Solution :
Pay for 13 hours = $45.50
So, Pay for 1 hour = [tex]\frac{45.50}{13}[/tex]
Pay for 1 hour = [tex]3.50[/tex]
So, rate is $3.50 per hour
So, Option B is true
Hence rate of pay in dollars per hour is $3.50 per hour
Find the value of y when x equals -14 -2x-3y=49
Answers
-3y = 21.
3y = -21
y = 7. Hope it helps! :)
Information is given about a polynomial f left parenthesis x right parenthesisf(x) whose coefficients are real numbers. find the remaining zeros of f. degree 3; zeros: negative 8 comma negative 3 minus i−8, −3−i enter the remaining zeros of f.
Answers
The remaining zero of f(x) is -3+i.
Assume that the grasshopper in the food pyramid above must eat half its body weight in grass each day. If an average-size grasshopper weighs 2 grams, and 1 blade of grass weighs 0.1grams (one tenth of a gram), how many blades of grass does the grasshopper need to eat each day?
Answers
We have:
"must eat half its body weight in grass each day":
(2 grams) * (1/2) = 1 gram
Then,
"1 blade of grass weighs 0.1grams"
Then the amount you need to eat is given by:
N = (1) / (0.1)
N = 10 blades of grass
Answer:
the grasshopper needs to eat 10 blades of grass each day
Answer:
The grasshopper needs to eat 10 blades of grass each day.
Step-by-step explanation:
The grasshopper in the food pyramid above must eat half its body weight in grass each day.
The average weight of the grasshopper is 2 grams.
The weight of one blade of grass is 0.1 grams.
Now,
The weight of grass eating by the grasshopper per day is 1 gram.
Let us assume that the grasshopper eats the "n" number of blades of the grass.
Therefore,
[tex]\begin{aligned}n \times 0.1\;\rm{gm}&=1\;\rm{gm}\\n&=\dfrac{1}{0.1}\\n&=10\end{aligned}[/tex]
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A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.
Answers
Answer:
D. The manager should check both relative frequencies by row and by column to look for an association.
Step-by-step explanation:
the correct answer would be D
I'm confused on what this is asking me to do. Can someone explain to me, please?
Suppose you’re making a triangle where you know the measures of two angles and the length of the side between those two angles. Write two angle measures and the length of the side between them for your triangle. You can use any measurements you want as long as they could really be used to form a triangle.
Answers
the only thing is that, you have to use angles, and a side, that will be feasible to produce a triangle, meaning, the other two sides will at some point meet and close off the triangle.
0.025 milliliters is the same as: cm3 and L
Answers
0.025 milliliters is equal to 0.025 cubic centimeters and 0.000025 liters. The conversion is based on the fact that 1 milliliter is equivalent to 1 cubic centimeter, and there are 1000 milliliters in 1 liter.
To convert 0.025 milliliters to cubic centimeters (cm³) and liters (L), we need to understand the relationships between these units.
Cubic Centimeters (cm³):
Since 1 milliliter is equivalent to 1 cubic centimeter, 0.025 milliliters is equal to 0.025 cubic centimeters.
Liters (L):
There are 1000 milliliters in 1 liter. Therefore, to convert milliliters to liters, we divide the volume in milliliters by 1000.
0.025 milliliters ÷ 1000 = 0.000025 liters.
In summary, 0.025 milliliters is equivalent to 0.025 cubic centimeters and 0.000025 liters.
The question probable may be:
What would be the value of 0.025 milliliters in cm^3 and also in L.
0.025 milliliters is equivalent to 0.025 cubic centimeters because 1 milliliter equals 1 cubic centimeter. Also, 0.025 milliliters is equal to 0.000025 liters as there are 1,000 milliliters in a liter.
Explanation:The student's question is: 0.025 milliliters is the same as how many cubic centimeters (cm3) and liters (L). This is a conversion problem involving units of volume. From the provided information, we understand that 1 milliliter (mL) is exactly equal to 1 cubic centimeter (cm3). Therefore, if the student has 0.025 mL, this is directly equivalent to 0.025 cm3 because the conversion factor between mL and cm3 is 1.
Furthermore, recalling that 1 liter is equal to 1,000 milliliters, and since we are given a volume in milliliters, we can convert this to liters by dividing by 1,000. Consequently, 0.025 mL is equal to 0.025 / 1,000 L, which simplifies to 0.000025 L.
45% of 40 is 18% of what number?
Answers
Answer:
45% of 40 is 18% of 100
Step-by-step explanation:
45% of 40 is 18% of what number
First we find out what is 45% of number 40
45% times 40
[tex]\frac{45}{100} * 40= 18[/tex]
Now we find
18 = 18% of what number
Let the unknown number be x
18 = 18% * x
[tex]18= \frac{18}{100} * x[/tex]
18 = 0.18 * x
Divide by 0.18 on both sides
100= x
So 45% of 40 is 18% of 100
The complete statement is 45% of 40 is 18% of 100
How to determine the number that completes the statementFrom the question, we have the following parameters that can be used in our computation:
45% of 40 is 18% of what number
Represent the number with x
So, we have
45% of 40 is 18% of x
Express as an equation
45% of 40 = 18% of x
Next, we have
18 = 0.18x
Divide through by 0.18
x = 100
Hence, 45% of 40 is 18% of 100
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abcd is an isosceles trapezoid with legs AB and CD and base BC. If the length of AB is 7y-4, the length of BC s 4y-6 and the length of CD is 8y-18, find the value of y. 30 points for brainliest!
Answers
AB = 7y - 4
CD = 8y - 18
In any isosceles trapezoid, the two legs are of equal length.
Therefore, AB = CD
⇒ 7y - 4 = 8y - 18
Add 18 to both sides of the equation
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y
Subtract 7y from both sides of the equation
7y - 7y + 14 = 8y - 7y
14 = y
⇒ y = 14
The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.
Given :
ABCD is an isosceles trapezoid with legs AB and CD and base BC.If the length of AB is (7y - 4), the length of BC s (4y - 6) and the length of CD is (8y - 18).The two legs are of equal length In any isosceles trapezoid that means:
7y - 4 = 8y - 18
Add 18 on both sides in the above equation.
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y
Now, subtract 7y on both sides in the above equation.
7y + 14 - 7y = 8y - 7y
Simplify the above expression in order to get the value of 'y'.
y = 14
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Evaluate a/b for a= 1/2 and b= - 3/7
A) - 7/6
B) 3/14
C) - 3/14
D) - 32/21
Please explain your answers.
Thanks! : )
Answers
You are given that a is 1/2 and b is -3/7
Write this down...
Answer: -7/5
Substitute the value of the variable into the expression and simplify.
Exact Form: −7/6
Calculate the maximum volume of a box that has no top and that is to be manufactured from a 30 inch by 20 inch piece of cardboard
Answers
_____
That volume is achieved by folding the edges up 3.924 inches.
The volume as a function of box depth is
.. V = x(30 -2x)(20 -2x)
.. = 4x^3 -100x^2 +600x
Differentiating, we have
.. V' = 12x^2 -200x +600
We want to find where this is zero.
.. x = (200 ±√((-200)^2 -4(12)(600)))/24
.. = (200 -40√7)/24 . . . . . only the solution less than 10 makes sense
.. = (1/3)(25 -5√7)
Putting this into the formula for the volume, we find the volume of the box to be
.. V = (1000/27)*(10 +7√7) ≈ 1056.3 in^3
HELP ASAP!!!!!!!!!!!!!!!!!!!!
a. 49
b. 12
c. 7
d. 1
Answers
you know a and c
a=24
c=25
24 squared + x squared = 25 squared
576+x squared =625
subtract 576 from both sides
x squared = 49
square root x and 49
x=7
C is the answer
Find the function rule.
X: -2, -1, 0, 1, 2
Y: 9,4, -1, -6, -11
Answers
The function rule is y = -5x - 1 , obtained by observing the linear relationship where y decreases by 5 as x increases by 1.
To find the function rule that relates the values of x to y , let's first observe the pattern in the given data:
[tex]x & y \\-2 & 9 \\-1 & 4 \\0 & -1 \\1 & -6 \\2 & -11 \\[/tex]
Notice that as x increases by 1, y decreases by 5. This suggests a linear relationship between x and y , where the slope of the line is -5.
The general form of a linear function is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.
To find the y-intercept, let's pick any point from the table, for example, when ( x = 0 ), ( y = -1 ).
So, we can plug the values of ( x ) and ( y ) into the linear function formula:
[tex]\[-1 = (-5)(0) + b\][/tex]
[tex]\[-1 = 0 + b\][/tex]
[tex]\[b = -1\][/tex]
Now we have the slope (( m = -5 )) and the y-intercept (( b = -1 )), so the function rule is:
[tex]\[ y = -5x - 1 \][/tex]
Now, let's verify this function rule with another point from the table, for example, when ( x = 2 ):
[tex]\[ y = -5(2) - 1 \][/tex]
[tex]\[ y = -10 - 1 \][/tex]
[tex]\[ y = -11 \][/tex]
This matches the value of ( y ) in the table, confirming that our function rule is correct.
Which property is illustrated by this problem?
(3+4) + 5 = 3 + (4+5)
A. Associate property of addition
B. Additive identity
C. Commutative property of addition
Answers
What is the range of the function f(x) = –2(6x) + 3?
A) (-oo,-2)
B) (-oo,3)
C) [-2,oo)
D) [3,oo
Answers
Answer:
The range of the function is (-∞,3)
B is correct.
Step-by-step explanation:
Given: [tex]f(x)=-2(6)^x+3[/tex]
It is an exponential function which coefficient is negative.
Exponential function: [tex]f(x)=ab^x+c[/tex]
If a>0 then range (c,∞)
If a<0 then range (-∞,c)
[tex]-2(6)^x+3\rightarrow ab^x+c[/tex]
[tex]a=-2[/tex]
[tex]c=3[/tex]
Range: (-∞,3)
Hence, The range of the function is (-∞,3)
How long will it take for 750 mg of a sample of radium-225, which has a half-life of about 15 days, to decay to 68 mg?
A. ≈ 50 days
B. ≈ 54 days
C. ≈ 48 days
D. ≈ 52 days
Answers
y = A (b) ^ t
Where,
A: initial amount
b: decrease rate
t: time
Substituting values:
y = 750 (0.5) ^ ((1/15) * t)
The number of days to reach 68 mg is:
68 = 750 (0.5) ^ ((1/15) * t)
Clearing t:
(0.5) ^ ((1/15) * t) = (68/750)
log0.5 ((0.5) ^ ((1/15) * t)) = log0.5 (68/750)
(1/15) * t = log0.5 (68/750)
t = 15 * log0.5 (68/750)
t = 51.94
Rounding:
t = 52 days
Answer:
D. ≈ 52 days
Answer:
52 Days
Step-by-step explanation:
Which of these numbers is an irrational number? of these numbers is an irrational number? 3⁄5, Square root of 4, Square root of 25, Square root of 20, 5/3
Answers
How many drivers who start driving before they are 20 are convicted of a traffic violation within the first year of driving?
Answers
Hope this helped.
Which relationship describes angles 1 and 2?
Select each correct answer.
supplementary angles
complementary angles
vertical angles
adjacent angles
Answers
I need help remembering the steps to solve a polynomial equation
Answers
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
 3x^3-12=0
Step 2: Use a factoring strategies to factor the problem.
 3x(x^2-4)=0
3x(x+2)(x-2)=0
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
 3x=0 or x+2=0 or x-2=0
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
 x=0 or x=-2 or x=
I hope this helped you!
A flower garden is in the shape of a right triangle. One leg of the triangle is 6 ft long and the hypotenuse is 12 ft long. What is the length of the other leg?
answers
A. 10.4ft
B.12.8ft
C13ft
D14.6ft
Answers
If this answer helped you and was correct you can name me "Brainliest." ty :)
Help please!
The length of a football field is 67 yards greater than the width the perimeter of the field is 346 yard. Find the length and width of the football field.
Answers
In order for us to solve this question, we will need to set up an equation with an unknown variable. We will then solve for it, thus receiving everything we need for the width and length of the football field. I will also be attaching an image with all the work shown, so make sure to take a look at it.
First of all, let's identify our total in the equation. In this case, if we add both length and width together, we will get one half of 346 - the perimeter due to the fact that perimeter calls for both widths, and both lengths of a rectangle.
Let's form the equation which we will then solve.
[tex]2[x+(x+67)]=346[/tex]
In this equation, x stands for the width. You can also see "x+67", which is the length of the rectangle. Both these values are added together, and multiplied by two. Let's start solving.
Let's simplify this equation.
[tex]4x+134=346[/tex]
As you can see, we have multiplied the sum of all these numbers by two. Now, let's get rid of 134 on both sides.
[tex]4x=212[/tex]
In that step, I have deducted 134 from both sides. Now, let's get rid of four on both sides by dividing it.
[tex]x=53[/tex]
Awesome! As we know, "x" is the width. Now, knowing the width, we can find the length simply by adding 67 to the variable x since length is 67 yards longer than the width.
[tex]53+67=120[/tex]
Great! Our answer is formed.
Answer: Length of the rectangle is 120 yards, and width of the rectangle is 53 yards.
Write three functions.
In the first function, y should vary directly with x.
In the second function, y should vary inversely with x.
In the third function, the relationship between x and y should be neither inverse variation nor direct variation.
Describe the graph of each function and give a real-world example for each.
Answers
.. The volume of an ideal gas is directly proportional to its absolute temperature.
2) y = k/x . . . . for some constant k
.. The volume of an ideal gas is inversely proportional to its pressure.
3) y = 1.8x +32
.. Temperatures in degrees Fahrenheit are linearly related to those in degrees Celsius, but the relation is neither directly nor inversely proprotional.
Evaluate the exponential expression. Write your answer as a fraction in simplest form.
(2^3)^-2
Answers
(2^3)^-2
Multiply the powers.
2^-6
Put the negative on the bottom.
1/2^6
1/64= the equivalent fraction
I hope this helps!
~kaikers
A small toy car costs $3 . A large toy car costs 5 times as much as the small one . Aaron wants to buy one of each . Which equation can he use to find the cost (a) of the two cars ?
(A) 5x a = $3 +. $3
(B) 5x ($3 + $3 ) = a
(C) $3 +(5 x $3 ) =a
(D) (5 x $3 ) \ 3 = a
(/) division
Answers
Answer: the answer is B
Step-by-step explanation:
The equation used to find the cost (a) of the two cars will be $3 +(5 x $3 ) =a. The correct option is C.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a small toy car costs $3. A large toy car costs 5 times as much as the small one.
The equation can be written as:-
a = $3 + ( 5 x $3 )
Therefore, the equation used to find the cost (a) of the two cars will be $3 +(5 x $3 ) =a. The correct option is C.
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determine if the number is written in scientific notation. if not explain 5.6 x 10^12
A. no its not written as a power of 10
B.no the first factor is not a number between 1 and 10
C. yes the number is written in scientific notation
Explain your answer please
Answers
Explanation:
In scientific notation, we have a decimal number multiplied by a power of 10. The decimal number has the decimal point behind the first non-zero digit, and the exponent on the power of 10 tells us how many places to move the decimal.
In this problem, we have 5.6, which has the decimal after the first non-zero digit. We also have 10¹², which tells us to move the decimal 12 places.
This is in scientific notation.
Answer:
C. Yes, the number is written in scientific notation.
Step-by-step explanation:
We have been given a number [tex]5.6\times 10^{12}[/tex]. We are asked to determine whether our given number is written in scientific notation or not.
We know that when a number greater than 1 and less than 10 is multiplied by a power of 10, then the number is written in scientific notation.
Upon looking at our given number we can see the number 5.6 is between 1 and 10. In addition, 5.6 is being multiplied by 10 to the power 12.
Therefore, our given number is written in scientific notation and option C is the correct choice..
An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder, as shown below:
© 2011 Jupiterimages Corporation
Each cone of the hourglass has a height of 18 millimeters. The total height of the sand within the top portion of the hourglass is 54 millimeters. The radius of both cylinder and cone is 8 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass?
68.3
38.4
268.8
230.4
Answers
Explanation:
For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.
I have attached the figure for better understanding.
1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.
So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.
This is how you calculate the volume of the top portion:
1) The height of the cylinder is 54 mm - 18 mm = 36 mm
2) The formula for the volume of a cylinder is V = π (radius)^2 * height
radius = 8 mm
height = 36 mm
=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3
3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height
radius = 8 mm
height = 18 mm
V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3
4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:
Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3
5) To find the number of seconds it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:
time in seconds = total volume of sand / rate of dripping
time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s
That is the answer: 268.8 s
So i need help (picture included)
Answers
y=-2x+3
y=(1/3)x-4
using a graph tool
see the attached figure
the solution of the system is the point (3,-3)
Zaira spent 55 hours in 2 weeks working on a science project. she worked 32 hours the first week. Write and solve an addition equation to find the amount of time she spent working the second week.
Answers
55 hours in 2 weeks
32 hours in the first week
So, 32 plus the amount of time she worked on the project the second week adds up to 55.
32 + x = 55
Now, simply solving! What you do to one side, you do to the other in order to isolate the variable
(32 - 32) + x = (55 - 32)
x = 23
She worked 23 hours on the project during the second week!