Answers
Answer:
[tex]\tan \left(\frac{\pi }{2}\right)[/tex]
Step-by-step explanation:
We know that tan(x) is defined as sin(x)/cos(x):
[tex]\tan \left(\frac{\pi }{2}\right),\\\sin \left(\frac{\pi }{2}\right)=1,\\\cos \left(\frac{\pi }{2}\right)=0,\\\\[/tex]
[tex]\tan \left(\frac{\pi }{2}\right) = 1/0 \\[/tex]
1/0 is undefined as 0 is in the denominator
Related Questions
Hello there !
Can I have some help with this question? Thank you !
Answers
Answer:
About 6 hours.
Step-by-step explanation:
The cylinder has a diameter of 10 meters and a depth of 1.4 meters.
First, we can find the volume of the cylinder, given by the formula:
[tex]V=\pi r^2h[/tex]
Where r is the radius and h is the height (or depth, in this case).
Since our diameter is 10, our radius is 5.
Therefore, the volume of the cylinder will be (using 3.14 as π):
[tex]V=(3.14)(5)^2(1.4)=109.9\text{ meters} ^3[/tex]
Since water is pumped at a rate of 18 cubic meters per hour, it will take then:
[tex]109.9/18=6.10\overline{5}\approx 6\text{ hours}[/tex]
So, it will take about 6 hours for the water to completely fill the pool.
12x^2+5z-2=0 solve for x
Answers
x = 0.5
Solution
x = {-0.3333333333, 0.5}
Find all sides of a right triangle whose perimeter is equal to 60 cm and its area is equal to 150 square cm
Answers
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
How to expand :
-2(t+1)^2+5
Please provide a step by step explanation!!
Answers
Answer:
Your answer is 21
Hope that this is helpful. Vote and like it
Multiply. Select the product in simplest form.
3/5 x 5/9
Answers
Answer:
1/3
Step-by-step explanation:
3/5 x 5/9 = 15/45 and when you divide by 15 it equals 1/3
30°
Х
14
Find the value of x
Answers
Answer:
the answer to 40 x 14 is 420
Simplify the following expression.
3(2x+7)
Answers
3(2x + 7)
3 • 2x • 3 • 7
6x + 3 • 7
6x + 21
Which set of ordered pairs represents a function?
{
(
−
2
,
4
)
,
(
−
1
,
6
)
,
(
−
6
,
3
)
,
(
−
6
,
4
)
}
{(−2,4),(−1,6),(−6,3),(−6,4)}
{
(
5
,
5
)
,
(
9
,
5
)
,
(
−
8
,
0
)
,
(
−
7
,
8
)
}
{(5,5),(9,5),(−8,0),(−7,8)}
{
(
−
2
,
6
)
,
(
8
,
−
3
)
,
(
−
8
,
4
)
,
(
8
,
−
8
)
}
{(−2,6),(8,−3),(−8,4),(8,−8)}
{
(
−
2
,
−
1
)
,
(
−
1
,
6
)
,
(
2
,
4
)
,
(
−
2
,
−
9
)
}
{(−2,−1),(−1,6),(2,4),(−2,−9)}
Answers
Answer:
the second one
Step-by-step explanation:
in order for it to be a function the x values CANNOT repeat.
in answer a the x value -6 repeats so that cannot be a function
in answer b none of the x values repeat so its probably this one but lets check the other ones just in case
in answer c the x value 8 repeats so it cannot be this one
in answer d the x value -2 repeats so it cant be this one \
b is the only one that does have repeating x values therefore it is the second one
Help. 100 more points. 1. Consider the surface area of the following pyramid.
(a) Calculate the total surface area of the pyramid. Show your work.
(b) Calculate the lateral surface area of the pyramid. Show your work.
Answer:
(by the way, a and b are not ANSWERS. if you answer with a or b i will find you and flick your head.)
Answers
Answer:
275 52.2 there you go um im not sure how to help you on the show your work but i hope this helps
Answer: The lateral area of a right pyramid can be calculated by multiplying half of the perimeter of the base by the slant height. This is summarized by the formula: LA 5 Ps. We can relate this formula to the square pyramid below and its net. The side length of the base of the pyramid is b, and the slant height is s.
Heavy rain in Oxford caused the Brandywine Creek to rise. The creek rose three inches the first day,
and each day twice as much as the previous day. How much did the creek rise on the fifth day?
Answers
Answer: Well, their were 15 inches on the 5th day or if you add them all up 48 inches total.
Step-by-step explanation:
Solve for X in the rectangle?
Answers
Answer:
x=6
Step-by-step explanation:
13x+12=90
13x=78
x=6
The value of x in the rectangle is 6.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given quadrilateral is a rectangle.
In rectangle each angle has 90 degrees.
So equate 13x+12 and 90 degrees to get x
13x+12=90
Subtract 12 from both sides
13x=90-12
13x=78
Divide both sides by 13
x=6
Hence, the value of x in the rectangle is 6.
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Help me please chile
Answers
Answer:
1 neither
2 supplementary
3 supplementary
Step-by-step explanation:
Marci purchased the rug shown. To the nearest hundredth, what area of floor space will the rug cover? (π = 3.14)
Answers
Answer:
63.59
Step-by-step explanation:
The area of floor space will the rug cover is 63.59 square feet.
The correct option is D.
What is a diameter?A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.
Given:
A rug is circular.
And diameter = 9 feet.
So, the radius of the circle is = 4.5 feet.
The area of floor space will the rug cover,
= πr²
= 3.14 x 4.5 x 4.5
= 63.59 square feet.
Therefore, the area is 63.59 square feet.
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a shop produces 39 wetsuits every 2 weeks. how long will it take the shop to produce 429 wetsuits
Answers
answer:
22 weeks
step-by-step explanation:
set up a proportionuse x for how long it would take hercross multiply to solve39 / 2 = 429 / x
429 (2) = 39x
858 = 39x
x = 22
it would take her 22 weeks you can change the units by conversion based on what is askedAnswer:
What are the options? It will take 22 weeks.
Step-by-step explanation:
Since every two weeks they produce 39 wetsuits you can make the equation , " 39 times 11 ". If you multiply you'll get 429.
The point c(0, 6) is translated 6 units left. What are the coordinates of the resulting point, C'?
Answers
Answer:
(-6,6)
Step-by-step explanation:
since 0 is on the x axis if you move it 6 units to the left it becomes negative, since your not moving anything on the y axis it stays the same.
HELPPPPP
The function g(t) = -16t2 + vt + h represents the height of an object, g, in feet above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Write a function that can be used to describe the flight of the model rocket.
A. g(t) = -16t^2 + 80
B. g(t) = -16t^2 + 80t
C. g(t) = -16t^2 + t + 80
D. g(t) = -16t^2 + 80t + 80
Answers
Answer:
B. g(t) = -16t² + 80tStep-by-step explanation:
Given function:
g(t) = -16t² + vt + hA model rocket is launched off the ground at an initial velocity of 80 feet per second.
This gives us
h = 0 and v = 80The function becomes:
g(t) = -16t² + 80tCorrect option is B.
Evaluate one-third of the sum of 15 and 6 ( i know its a weird question but help me out please)
1/3 x ( 15 + 6 ) = ___
Answers
answer
Answer:
7
Step-by-step explanation:
15+6=21
21÷3=7
Answer:
7
Step-by-step explanation:
First you do the calculation inside the brackets,
15 + 6 = 21
Then you multiply the answer, 21, by 1/3
21 x 1/3 = 7
Have a great day :)
Which of the following is the value of ||x+5|- 12| when x = -9?
(a) 8
(b) 13
(c) 16
(d) 26
Answers
Answer:
8
Step-by-step explanation:
(-9)+5= -4 but it's absolute value so 4
4-12= -8 but it's absolute value so 8
Hope this helps! If you don't understand my explanation I can change it.
Answer:
d
Step-by-step explanation:
Roberto is cutting 3 loaves of homemade bread into halves to give to his neighbors. How many neighbors can he give ½ loaf of bread?
Answers
Answer:
6 neighbors
Step-by-step explanation:
1 bread can be given to 2 neighbors when cut in half(1/2). This case, you have 3 bread so 3x2=6
Answer:
6 because 1/2 goes into 3 6 times so your answer is 6 neighbors
Step-by-step explanation:
PLEASE HELP!!
i hate math and i am terrible at it so i need help
Answers
Answer:
b,c,d
Step-by-step explanation:
Answer:
D and B i'm pretty sure
Step-by-step explanation:
i would try a place called calculator soup really helps.
Eliza's birthday is on February 29th. If she celebrated her 7th birthday in 2016, how old is she and what year was she born?
Answers
Answer:
She is 11, turning 12. She was born in 2009.
Step-by-step explanation:
PLZ HELP ME!!! ILL MARK BRAINLIEST!!!!!
Why is it important to understand how variables work, inequalities, and basic awareness of exponents before starting algebra?
Answers
Answer:
well algebra is basically about variables.
This is because you're assigning an equation or a number to a letter.
Exponents- that I don't really and inequalities
-4x + 64 < 242 + 3x
Giving extra points
Answers
Answer:
x>−178/7
Step-by-step explanation:
I'm assuming you wanted to solve for the inequality of x, if so this is the answer.
What is sin B = 0.5592?
Answers
Answer:
sin(30°) = 0.5
sin(30°) is exactly: 1/2
Note: angle unit is set to degrees.
Step-by-step explanation:
the figure shown consists of a triangle resting on a square of side 5 cm. the triangle has a height of 4 cm. what is the total area of the figure ?
Answers
So area of square is 5x5=25cm^2
Triangle is 5x4= 20
20/2 is 10cm^2
25+10=35cm^2
The current temperature is 48 degrees Fahrenheit it is expected to drop 1.5 degrees each hour. Determine in how many hours the temperature will be 36 degrees Fahrenheit.
Answers
The answer is that it would take 8 hours for the temperature to drop down to 36 degrees.
1.5x8=12
1x8=8 and 0.5x8=4
In 8 hours the temperature will be 36°F from 48°F.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, The current temperature is 48 degrees Fahrenheit it is expected to drop 1.5 degrees each hour.
Assuming the no. of hours to be x.
∴ 36 = 48 - 1.5x.
- 1.5x = - 12.
x = 8.
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plssss help i just cant figure it out
Answers
PLZ HELP ME!!!
Why is it important to understand how variables work, inequalities, and basic awareness of exponents before starting algebra?
Answers
Answer:
It is important because they are the basics of algebra. Almost every algebraic problem you will ever solve is based on these fundamental properties. In equations, we almost never know every part of it so we will need variables to substitute the unknown amount in an equation. Variables are used for basically every equation/problem in algebra. Inequalities are not as important as variables but are still really important. Inequalities are basically comparing numbers. And in algebra when they add variables into an inequality, the inequality will help lower the number of possible values of said variable. And exponents are just a basic operation in algebra. Just like learning addition and subtraction. It is like a quicker and less complicated way of multiplying numbers.
-1 2/3 divided by (-2 1/5)
Answers
Answer:0.75757575757
Answer:
Fraction Form
25/33
Decimal Form
0.75
Step-by-step explanation:
First, convert the mixed fraction into an improper fraction, so it would look like:
-5/3 / (-11/5)
Next, divide. Remember, when multiplying fractions all you do is flip the one in parantheses and make both of them positive, so it would look like:
5/3 x 5/11
Finally, multiply so you do the two top numbers which is 5 x 5= 25 and the two bottom numbers so 11 x 3 is 33. Then your final answer is 25/33
Solve the system of linear equations by elimination. 11x−20y=28 , 3x+4y=36
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The value of x is 8.
The value of y is 3.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 7 is an equation.
We have,
11x - 20y = 28 ____(1)
3x + 4y = 36 _____(2)
Now,
Multiply 5 on (2).
11x - 20y = 28
15x + 20y = 180
26x = 208
This means,
x = 208/26
x = 8
Now,
11x - 20y = 28
11 x 8 - 20y = 28
88 - 20y = 28
88 - 28 = 20y
y = 60/20
y = 3
Thus,
The value of x is 8.
The value of y is 3.
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