Answer: $53.95
Step-by-step explanation:
Original Price: $83
Discount: 35%
35%=0.35
$83 x 35%, or 83 x 0.35
=29.05
$83-29.05
=$53.95
A man of height 1.5 m is standing in front of a tower of height 81.5 m. At what angle should he observe the top of the tower from the distance of 80 m?
The angle at which the man should observe is 45 degrees.
To solve the question :Given :
height of man = 1.5m
height of tower = 81.5 m
distance between tower and man = 80 m
Since, ABCD is a rectangle, AD = BC = 80m
Similarly, AB = CD = 1.5m
EC = ED + CD
81.5 = ED + 1.5
ED = 80m
Now, in order to find the angle EAD, we use trigonometric functions,
tan ∅ = perpendicular / base = ED / AD
tan ∅ = 80 /80 = 1
∅ = \(tan^{-1} (1)\)
∅ = 45°.
Therefore, The angle at which the man should observe is 45 °.To learn more about height of a tower refer to : https://brainly.com/question/16136347
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Give an example of a function with both a removable and a non-removable discontinuity.
Answer:
(x+5) (x=3)
(X+5) (x+1)
Step-by-step explanation:
A removeable discontinuity is always found in the denominator of a rational function and is one that can be reduced away with an identical term in the numerator. It is still, however, a problem because it causes the denominator to equal 0 if filled in with the necessary value of x. In my function above, the terms (x + 5) in the numerator and denominator can cancel each other out, leaving a hole in your graph at -5 since x doesn't exist at -5, but the x + 1 doesn't have anything to cancel out with, so this will present as a vertical asymptote in your graph at x = -1, a nonremoveable discontinuity.
Help please, anything helps (answer which ever ones u can, you don't have to answer all of them just one is fine, but if u want to answer all, help yourself), i'm just confused...
Answer:
lol sry for AWFUL handwriting!!!! Hope this helps!! Have a great day : )
PLEASE HELPPP
which of these choices are equivalent to the quotient below check all that apply square root of 100 over the square root of 20
Answer:
A
Step-by-step explanation:
A number minus twice another number is 4. Three times the first number plus two times the second number is 12. Write a system of equations.
Step-by-step explanation:
x - 2y = 4 (1)
3x + 2y = 12 (2)
What are the values of (-2)^4 and -2^4?
8 and -8
16 and 16
-8 and -8
16 and -16
The base of a triangle is 13 cm rounded to the nearest integer.
The perpendicular height of the triangle is 4.7 cm rounded to 1 dp.
Write the error interval for the area, a, of the triangle in the form m ≤ a < n.
Answer:
30.55 <_ a < 30.55
Step-by-step explanation:
a = 1/2 × b × h
a = 1/2 × 13 × 4.7
a = 30.55 cm^2
30.55 <_ a < 30.55
(I BEG YOU HELP ME TUTORS! ITS A MULTIPLE CHOICE ILL GIVE U BRAINLY)
Answer:
ans= (2)
Step-by-step explanation:
y=x²-1 is the only quadratic function there
1 is a linear function
3 is a cubic function
4 is a a constant function
Fill in the following blanks with the vocabulary. Move the boxes to the correct arrow.
this image will help you with the vocabulary you need
Write an expression which is equivalent to w(4w3 + 8w4) – (5w3 – 2w5)
Answer:
4w4 + 10w5 - 5w3
Step-by-step explanation:
Determine the identity and show all steps: 1-sen^2x/1+senx=-1/cscx
The solution to the trigonometry identity is -sin^2(x) + sin(x) + 1 = -sin(x)
What is sine and the cosecant trigonometry function?In trigonometry functions, the cosecant(csc) appears to be the reciprocal of the sine function.
The trigonometry formula for sine is = opposite/hypotenuse,Thus the cosecant(csc) will be hypotenuse/opposite.Given that:
\(\mathbf{1- \dfrac{sin^2(x)}{1}+sin(x)=\dfrac{-1}{csc(x)}}\)
\(\mathbf{- \dfrac{sin^2(x)}{1}+sin(x)=\dfrac{-1}{csc(x)}}\)
\(\mathbf{- \dfrac{sin^2(x)}{2}+sin(x)+ \dfrac{cos^2x}{2}+\dfrac{1}{2}=-sin(x)}\)
\(\mathbf{- sin^2(x)+sin(x)+1 = -sin (x)}\)
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three african elephants can weigh a total of 13,500 pounds. at this rate, how many do 2 african elephants weigh?
Answer:
Step-by-step explanation:
13500/3 = 4500
4500 x 2 = 9000
EXERCISE 5 (a) Write down the coordinates about the line y=x of the images of the following points if they are reflected (1) A(5:7) (2) (3) C(-5:-7) (4) B(-5:7) E(4:0) D(5:-7) (5) (6) F(0:-4) (b) Write down the line of reflection in each case: (1) A(7:3)→ A (3:7) (2) B(2:-8)→B'(-8:2) (3) C(-7:3)→ A¹(3:-7) D(4:5) D(-4:-5) (5) E(-4:-5) E(4:-5) (6) F(-4:-5)-F(-4:5
a) The image of:
1 A is (7,5).
2 Line y = x will be (-3,3).
3 C is (-7,-5)
4 B is (7,-5)
5 f E is (0,4).
6 D is (-7,5)
b) Reflection for the point :
1 joining A and A'.
2 B and B'.
3 line y = x.
4 y = -x.
5 x-axis.
6 y- axis.
(1) The point A(5,7) reflected about the line y=x will have its coordinates interchanged. So, the image of A is (7,5).
(2) In a similar way, the image of the point (3,-3) reflected about the line y = x will be (-3,3).
(3) The point C(-5,-7) reflected about the line y=x will have its coordinates interchanged. So, the image of C is (-7,-5).
(4) The point B(-5,7) reflected about the line y=x will have its coordinates interchanged. So, the image of B is (7,-5).
(5) The point E(4,0) reflected about the line y=x will have its coordinates interchanged. So, the image of E is (0,4).
(6) The point D(5,-7) reflected about the line y=x will have its coordinates interchanged. So, the image of D is (-7,5).
(b)
(1) The line of reflection for the point A(7,3) to A'(3,7) is the line y = -x + 10, which is the perpendicular bisector of the line segment joining A and A'.
(2) The line of reflection for the point B(2,-8) to B'(-8,2) is the line y = x - 10, which is the perpendicular bisector of the line segment joining B and B'.
(3) The line of reflection for the point C(-7,3) to C'(3,-7) is the line y = x.
(4) The line of reflection for the point D(4,5) to D'(-4,-5) is the line y = -x.
(5) The line of reflection for the point E(-4,-5) to E'(4,-5) is the x-axis.
(6) The line of reflection for the point F(-4,-5) to F(-4,5) is the y-axis.
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Write a unit rate that compares the quantities described.
180 people on 3 planes.
Answer:
Hey there!
The correct answer is 60 people on one plane.
Hope this helps :)
Answer: 60:1
Step-by-step explanation: it asks for a unit rate I'm not trying to catch beef but the above is half answered thank you for your time.
8x 2 + [ 3x3-8] = with explanation pls and its due in six minutes
Answer: 16x+3x^3−8
Please mark me brainliest :)
Find the surface area of each solid to the nearest tenth if necessary
how to determine if a binomial is a factor of a polynomial
A binomial is a factor of a polynomial has been determined by using the
polynomial division method.
To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:
Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.
Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.
Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.
Repeat the division process with the new polynomial obtained from the subtraction step.
Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.
If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.
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The equation shown has an unknown number.
Blank divided by 3/7 = 7/15
Enter a fraction that makes the equation true
Answer:
45/49
Step-by-step explanation:
manuela wants to make a cube from construction paper . if she cuts out the design below and folds it to make a cube , what will be the surface area of the cube?
25 cm2
70 cm2
125 cm2
150 cm2
Answer:
150 cm2
Step-by-step explanation:
one square would simply be base x height our base is 5 and height is 5 so i multiply that and get 25 since this is a cube all sides are equal so I will simply just multiply 25 by the number of sides since a cube has 6 sides our equation to get the answer would be 25 x 6 = 150 so 150 is our answer! Hope this is a good explanation! Have a good day!
find the sum 9/10 minus 1/10
Answer:
8/10
Step-by-step explanation:
I subtracted 1/10 from 9/10 and got 8/10.
Answer:
8/10
Step-by-step explanation:
First, write the values (numerators) together with a minus sign, then deduct:
9 - 1/10
8/10
List the prime numbers between 20 and 30
25 and 29
23 and 29
21 and 23
23 and 27
The numbers between 20 and 30 are: 21,22,23,24,25,26,27,28,29 Even numbers, other than 2 are not prime because by definition of being even they are divisible by 2.
What are prime numbers?
Prime numbers are numbers that can only be divisible by themselves or 1. Examples of prime numbers include 2, 3, 5, 7, 11, and so on. In this tutorial, you will learn how to check if a number is a prime number. We will discuss how to write a prime number program in python – this program prints numbers that are prime numbers within a given range.
There is just one perfect number between 20 and 30. The number 28 is a perfect number. Its factors are 1, 2, 4. 7, 14, and 28. Why is 2 the only prime number? Two is a prime because it is divisible by only two and one. All the other even numbers are not prime because they are all divisible by two. That leaves only the odd numbers.
Hence, The numbers between 20 and 30 are: 21,22,23,24,25,26,27,28,29 Even numbers, other than 2 are not prime because by definition of being even they are divisible by 2.
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in a game of poker, what is the probability that a five-card hand will contain (a) a straight (five cards in unbroken numerical sequence)
The probability that a five-card hand will contain a straight = 5/1274
There are 52 cards in a deck from which each 13 cards are from 4 different suits (clubs, diamonds, spades and hearts) in a game of poker.
Each 13 cards from high to low are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. So a straight of five cards, i.e., five cards in unbroken numerical sequence would be got only from 10 cards in a sequence.
So the possible ways to get a single straight five from all four suits = \(4^5\)
Now as we doesn't need all 5 cards from a single suit, we can ignore 4 ways from the above number. i.e., \(4^5-4 = 1020\) ways.
Hence the possible ways to get a straight five from 10 cards from all four suits = 10 x 1020 = 10200 ways
Total number of ways to select 5 cards from 52 cards = 52C5
Thus,
The probability that a five-card hand will contain a straight = 10200 / 52C5
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2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
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A marble statue has a mass of 1600 kg and is
270 cm tall.
The density of marble is 2500 kg/m³.
Justin makes a mathematically similar model
of the statue out of clay.
The model is 45 cm tall and has a density of
1200 kg/m³.
What is the mass of Justin's model?
Give your answer to 3 significant figures
Answer:
3.56 kg
Step-by-step explanation:
You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.
VolumeThe ratio of volumes of the model to the statue is the cube of the ratio of their heights:
Vm/Vs = (Hm/Hs)³
Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³
Vm ≈ 0.002963 m³
MassThe mass of the model is the product of its volume and its density:
Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg
The mass of Justin's model is about 3.56 kg.
__
Additional comment
The relationship between density, volume, and mass is ...
ρ = mass/volume
This can be rearranged to ...
volume = mass/ρ
Which is the expression we used for Vs in the first section above.
(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)
<95141404393>
The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.
How to find the mass of Justin's modelTo find the mass of Justin's model, we can use the concept of mathematical similarity.
Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.
Let's calculate the volume ratio first:
Volume ratio = (Height of model / Height of statue)^3
= (45 cm / 270 cm)^3
= (0.1667)^3
= 0.00463
Now, using the density ratio:
Density ratio = Density of model / Density of statue
= 1200 kg/m³ / 2500 kg/m³
= 0.48
Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:
Mass of Justin's model = Mass of statue * Volume ratio * Density ratio
= 1600 kg * 0.00463 * 0.48
= 3.5712 kg
Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.
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Tell whether the relation is a function. Explain your reasoning.
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}
23. The table below shows the altitude of a plane once it begins its descent to a runway.
a) Write an equation to model the data using linear regression.
Time
(minutes)
0
1
Altitude
(feet)
28,500
26,378
24,105
21,774
19,452
17,991
b) Find the height of the plane after 8 minutes.
2
3
4
5
c) How long will it take the plane to land?
Gina Wilson (All Things Algebra), 2015
The table :
Time (x)_____ Altitude (y)
0 _______28500
1 _______ 26378
2 _______24105
3 _______ 21774
4 _______ 19452
5 _______ 17991
Using a linear regression calculator or excel, we could obtain the regression equation :.
The regression equation obtained is :
Ŷ = 28437.191 - 2161.543X
Where :
Ŷ = Predicted value
Intercept = 28437.191
Slope = - 2161.543
Height of the plane after 8 minutesX = 8
Ŷ = 28437.191 - 2161.543(8) = 11144.847 feets
Time it will take for the plane to land.Altitude at landing = 0, Ŷ = 0
We solve for X in the equation :
0 = 28437.191 - 2161.543X
0 - 28437.191 = - 2161.543X
- 28437.191 = - 2161.543X
Divide both sides by - 2161.543
- 28437.191 / - 2161.543 = X
X = 13.156
Hence, the land will land in approximately 13 minutes.
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please help me out!! i need this rn n quick!
im not sure but A
Step-by-step exp
yeah
Which figures show adjacent angles
pls help!!!!!!!!!!!!!!!!!!!!!!!!!
You can by 20 fluid ounces of shampoo for $4.40 at Wal Mart or 24 fluid ounces for $4.80 at Smith's. Which is the better buy?
Answer:
Smith's
Step-by-step explanation:
Walmart
4.40÷20=0.22
0.22 per ounce
Smith's
4.80÷24=0.2
0.20 per ounce
Smith's is cheaper