Answer:
43, 45 are the numbers
Step-by-step explanation:
in 2017 , sharjah unfurled the worlds largest flag measuring 70m in length and 35m in width.the flag broke the guiinness world record for the largest flag hoisted on a fixed flagpole . there are 4 colours that occupy almost the same area in the flag . based on the above information , how much area will the black part occupy
Answer:
612.5
Step-by-step explanation:
Area is the length times the width
a = 70x35
a = 2450 Divide this number by 4
612.5
25.0 feet
50.0 feet
20.6 feet
19.4 feet
Using the Pythagorean Theorem, the approximately length of ladder is 20.6 feet
As we know Michael is standing on roof of his house.
He stands 5 feet away from his house
The ladder touches the point 20 feet above the ground and where the Michael standing
In this order we have to find the approximately length of ladder
From this question we can clearly figure out that in this question we have:
Perpendicular= 20 feet
Base = 5 feet
So as we can understand that we have to use Pythagorean Theorem
Pythagorean Theorem:
(Hypotenuse)^2 = (Perpendicular)^2+(Base)^2
(Hypotenuse)^2 = (20)^2+(5)^2
(Hypotenuse)^2 = 400+25
(Hypotenuse)^2 = 425
Hypotenuse=square root(425)
Hypotenuse=20.6 feet
Hence, the approximately length of ladder is 20.6 feet
So the option C is correct.
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cos(θ)=−2√5 / 5
If (θ) is an angle in quadrant ll what is the value of sin (θ)
The exact value of sin(θ) given that cos(θ) = -2√5/5 is √5/5
How to determine the value of sin(θ):The given trigonometry ratio is
cos(θ) = -2√5/5
By the trigonometry ratio, we have
sin²(θ) + cos²(θ) = 1
Substitute cos(θ) = -2√5/5 into the above equation
So, we have the following representation
sin²(θ) + (-2√5/5)² = 1
Evaluate the exponent
sin²(θ) + 4/5 = 1
Subtract 4/5 from both sides
This gives
sin²(θ) = 1/5
Take the square root of both sides
√sin²(θ) = √1/5
Evaluate the square root
sin(θ) = ±1/√5
Sin is positive in quadrant II
So, we have
sin(θ) = 1/√5
Rationalize
sin(θ) = 1/√5 * √5/√5
This gives
sin(θ) = √5/5
This gives the value of sin(θ)
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Solve each equation for x. Show all steps.
A) log base 4 (x^2 -12x+48) =2
B) 27^(4x-6) =(1/9)^(2x-7)
A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8
B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2
Solving equations: Determining the value of xFrom the question, we are to solve the given equations
The given equation is log₄(x² - 12x + 48) = 2
From one of the laws of logarithm, we have that
logₐ x = n ⇒ x = aⁿ
Thus,
log₄(x² - 12x + 48) = 2 becomes
(x² - 12x + 48) = 4²
x² - 12x + 48 = 16
x² - 12x + 48 - 16 = 0
x² - 12x + 32 = 0
Solve the quadratic equation
x² - 12x + 32 = 0
x² - 8x - 4x + 32 = 0
x(x - 8) -4(x - 8) = 0
(x - 4)(x - 8) = 0
x - 4 = 0 OR x - 8 = 0
x = 4 OR x = 8
B) 27^(4x-6) =(1/9)^(2x-7)
Solve for x
27^(4x-6) =(1/9)^(2x-7)
Express the bases in index form
3^3(4x-6) =(3)^-2(2x-7)
Equate the powers
3(4x - 6) = -2(2x - 7)
12x - 18 = -4x + 14
12x + 4x = 14 + 18
16x = 32
Divide both sides by 16
16x/16 = 32/16
x = 2
Hence, the value of x is 2
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i need help answering this question
Answer:
Step-by-step explanation:
there is no question?
I need help with solving problem.
Answer:
x=-1,x=3/5
Step-by-step explanation:
Those are the two values of x
Solve the system of equations by the substitution method.
x+y=8
y=-3x
Using the substitution method, the solution to the system of equations is: x = -4 and y = 12.
How to Solve a System of Equations by Substitution?To solve a system of equations using the substitution method, find the value of one of the variables in one equation, then substitute it in the second equation and solve to find the value of the second variable.
Given the equations:
x + y = 8 --> eqn. 1
y = -3x --> eqn. 2
Substitute -3x for y into equation 1:
x + (-3x) = 8
x - 3x = 8
-2x = 8
-2x/-2 = 8/-2
x = -4
Substitute x = -4 into equation 2:
y = -3(-4)
y = 12
The solution is, x = -4 and y = 12.
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A basketball player in a game makes x free throws worth 1 point and y 2-point baskets. The player needs to score at least 28 points to win the scoring title. What inequality represents the number and type of shots the player needs to win the title?
The inequality that represents the number and type of shots the player needs to win the title is -
x + 2y ≥ 28
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have A basketball player in a game who makes [x] free throws worth 1 point and [y] free throws worth 2 point baskets. The player needs to score at least 28 points to win the scoring title.
The inequality that represents the number and type of shots the player needs to win the title is -
x + 2y ≥ 28
Therefore, the inequality that represents the number and type of shots the player needs to win the title is -
x + 2y ≥ 28
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Consider the equation and the following ordered pairs: (1,y) and (x,−3).
6x+3y=15
Graph y > -
5x + 5.
4
(I suggest using desmos graphing calculator for the future.)
(0,5) and (4,0) or the one in the left upper corner. Hope this helps.
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points)
Part B: Write a function to represent the data. Show your work. (4 points)
Part C: Determine the average rate of change between day 2 and day 4. Show your work. (4 points)
A) It is an exponential equation.
B) y = 2^x
C) The rate between days 2 and 4 is 6 minutes per station number.
Is the data modeling a linear or an exponential equation?Here we have the following data:
(1, 2), (2, 4), (3, 8), (4, 16)
What you can see is that the x-value of the points increases equially between consecutive pairs (increases of one unit).
while the y-value does not do that.
First, it increases by 2, then by 4, then by 8.
So this is an exponential relation.
B) A general exponential will be of the form:
y = a*(b)^x
Usin the first two pairs (1, 2) and (2, 4) we can write two equations:
2 = a*b^1 = a*b
4 = a*b^2
So we have a little system of equations:
2 = a*b
4 = a*b*b
If we take the second equation and we divide that by the first one we get:
4/2 = (a*b*b)/(a*b)
2 = b
Replacing that in the first equation we get:
2 = a*2
2/2 = a = 1
The equation is:
y = 2^x
C) The average rate of change will be:
R = (2^4 - 2^2)/(4 - 2) = (16 - 4)/2 = 12/2 = 6
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A) It is an exponential equation.
B) y = 2^x
C) The rate between days 2 and 4 is 6 minutes per station number.
Sandy works at a clothing store. She makes $9 per hour plus earns 15% commission on her sales. She worked 76 hours over the last two weeks and had a total of $1,790 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?
A.
$953
B.
$371
C.
$684
D.
$269
Last year, Dan had $ 10,000 into invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that paid 7% simple interest per year. After one year, he received a total of $730 in interest. How much did he invest in each account?
The amount invested in the account that yields 10% simple interest is $1,000.
The amount invested in the account that yields 7% simple interest is $9,000.
How much was invested in each account?The first step is to form a system of equations using the information provided in the question:
a + b = $10,000 equation 1
0.1a + 0.07b = 730 equation 2
Where:
a = amount invested in the account that yields 10% simple interest
b = amount invested in the account that yields 7% simple interest
The elimination method would be used to solve the equations
Multiply equation 1 by 0.1
0.1a + 0.1b = 1000 equation 3
Subtract equation 2 from equation 3
0.03b = $270
Divide both sides of the equation by 0.03
b = $270 / 0.03
b = 9,000
Substitute for b in equation 1
a + 9,000 = 10,000
a = 10,000 - 9,000
a = 1000
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2x−4y=6
Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,5) so that it will satisfy the given equation.
HELP.
This item has two parts: Part A and Part B. Use the function to complete Part A and Part B.
f(x) = (x – 5)(x + 3)(x – 1)2
Which of the following statements CORRECTLY identifies the degree and number of unique zeros of the function?
degree: 3; number of unique zeros: 4
degree: 4; number of unique zeros: 3
degree: 4; number of unique zeros: 4
degree: 3; number of unique zeros: 3
Part B
What is the end behavior of the function?
as x → –∞, f(x) → ∞ and as x → ∞, f(x) → –∞
as x → –∞, f(x) → ∞ and as x → ∞, f(x) → ∞
as x → –∞, f(x) → –∞ and as x → ∞, f(x) → ∞
as x → –∞, f(x) → –∞ and as x → ∞, f(x) → –∞
The degree and number of unique zeros of f(x) = (x – 5)(x + 3)(x – 1)² is:
Degree: 4; number of unique zeros: 3.
The end behavior of the polynomial is:
As x → –∞, f(x) → ∞ and as x → ∞, f(x) → ∞.
How to obtain the degree of the function?The degree of the polynomial function is given by the sum of the multiplicities of the roots.
These roots are given as follows:
x = 5 with a multiplicity of 1.x = -3 with a multiplicity of 1.x = 1 with a multiplicity of 2.Hence the degree is:
1 + 1 + 2 = 4.
The unique zeros are the roots, hence there are three unique zeros, which is the same number of linear factors of the function.
What is the end behavior of the function?The end behavior is the limit of the function as x goes to negative infinity and to positive infinite, hence:
lim x -> -∞ f(x) = lim x -> -∞ x^4 = (-∞)^4 = ∞.lim x -> ∞ f(x) = lim x -> ∞ x^4 = (∞)^4 = ∞.Learn more about the end behavior of a function at brainly.com/question/1365136
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Please help with this table. Not sure why this is difficult
Gotta answer this quick this is timed please
Answer:
Step 1:subtract 5 from both sides
step 2: divide both sides by two
final answer: c= p-5/2
Answer:
Step 1: Subtract 5 from both sides.
Step 2: Divide 2 from both sides.
Final answer: C= p-5 / 2
Step-by-step explanation:
the mean absolute deviation of Mr. Zimmerman's class is 0.46 What does this mean
Mean absolute deviation is the variation in a data set and is the average distance between each value and mean.
It is calculated by finding the difference between each data value and mean and then finding average of that.
So, let data set be x1,x2,x3,x4...xN.
mean of the data set is [tex]\bar{x}[/tex].
then mean absolute deviation will be
[tex]M.A.D=\sum\limits^N_{n=0}\frac{ {x_n-\bar{x}}}{N}[/tex]
Thus, mean absolute deviation shows how much the data vary in the data set.
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solve for x. "-8+x/4=-4" simplify your answer as much as possible
Answer:
48
Step-by-step explanation:
multiply by 4 to make x whole number
-32+x=16
+32 to isolate x
x=16+32
add for answer
x=48
Line b passes through the point (4, 2) and is
perpendicular
to the x-axis. What is the slope of line b?
Answer:
The slope would be undefined
Step-by-step explanation:
If the slope is perpendicular to the x-axis that means it is vertical, all vertical lines have undefined slopes therefore the slope is undefined.
A cube has a volume of 125 cubic inches. What us the length of each adge? Enter your answer in the box
5 inches
I just randomly guessed
You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number greater than 4 the second time.
The probability of rolling a 3 first time and a number greater than 4 thre second time is 1/18
What is probability?Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6. One is an event that will happen, it is certain. An example of a certain event is tomorrow being Friday if today is Thursday. This is definitely going to happen.
The possible outcomes of a fair die are : 1, 2, 3, 4, 5, 6. which is 6 in all
the required outcome for obtaining a 3 = 3 which is 1 outcome
the required outcome for obtaining a number greater than 4 : 5, 6. which is 2 outcomes.
probability of getting 3 first time = 1/6
probability of getting a number greater than 4 = 2/6 ( lowest term = 1/3)
Probability of rolling a 3 first time and a number greater than 4 second time is = 1/6 x 1/3 = 1/18
In conclusion, probability of obtaining a 3 and a number greater than 4 is 1/18.
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What is the size of angle x?
Write a justification for your answer.
The angle x will be 34°.
From the properties of circles we get to know that the angle at the center and the angle between two tangents are always supplementary.
Supplementary angles are those which always sum to to 180°.
For example ∠HJK is supplementary to ∠HIK the their sum will come out to be 180°.
similarly ∠ROP + ∠RQP = 180°
∠RQP = 180° - ∠ROP
∠ROP is given to us 146°
After putting it in the equation above we get ∠RQP = 34°
Therefore x comes out to be 34°.
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b. Kadisha claims that the distance she has walked and the distance she has left to walk has a ratio of 5:7. How many miles has Kadisha walked?
Based on the figures that we are provided, we can see that Kadisha has walked 10 miles already and is yet to walk 14 miles.
How can the total distance walked by Kadish be obtained?The total distance Kadisha has to walk is 24 miles
The distance she has walked is represented in the ratio as 5
The distance she has left to work is 7
5x + 7x = 24
12x = 24
x = 2
Therefore, the distance that Kadisha has walked is
5 × 2 = 10 miles
The distance she is yet to walk is
7 × 2 =14 miles
When represented as a ratio, 10/14 is the same as 5/7, so the answer is proven to be correct.
Complete Question:
A hiking trail is 24 miles from start to finish. There are two rest areas located along the trail. a. The first rest area is located such that the ratio of the distance from the start of the trail to the rest area and the distance from the rest area to the end of the trail is 2:9. To the nearest hundredth of a mile, how far is the first rest area from the starting point of the trail? b. Kadisha claims that the distance she has walked and the distance she has left to walk has a ratio of 5:7. How many miles has Kadisha walked?
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what is the solution of the linear-quadratic system of equations y=x^2+2x-3 y=2x+1
Answer:
(x, y) = {(-2, -3), (2, 5)}
Step-by-step explanation:
You want to solve the system of equations y=x²+2x-3 and y=2x+1.
SolutionThe two expressions for y can be equated, and the resulting equation put in standard form.
x² +2x -3 = 2x +1
x² -4 = 0 . . . . . . . . . . subtract (2x+1)
(x -2)(x +2) = 0 . . . . . factor
Values of x that make the factors zero are 2 and -2.
Corresponding values of y are ...
y = 2x +1 = 2(2) +1 = 5
y = 2(-2) +1 = -3
Solutions are ...
(x, y) = (2, 5)(x, y) = (-2, -3)7v-7-4v-10=v+7-4v help now pleas
Answer:
v = 4
Step-by-step explanation:
[tex]collect \: like \: terms \: \\ 7v - 4v - v + 4v = 7 + 7 + 10\\ 3v - v + 4v = 14 + 10\\ \\ 2v + 4v = 24 \\ 6v = 24 \\ v = 4[/tex]
The velocity function of a car is given by v(t) = -3t^2 + 18t + 9 m/s. Find the acceleration of the car three seconds before it comes to a stop. A. a = -6.46 m/s² B. a = -2.76 m/s² C. a = -0.46 m/s² D. a = 2.76 m/s²
The acceleration when the car comes to a full stop is 20.76 meters per square second.
How to find the acceleration?Here we have the velocity function:
v(t) = -3t^2 + 18t + 9
To find the acceleration we need to differentiate with respect to the variable t, so we will get the acceleration:
a(t) = 2*(-3)*t + 1*18
a(t) = - 6*t + 18
Now, the car will come to a stop when the velocity is equal to zero, so we need to solve:
-3t^2 + 18t + 9 = 0
Dividing all by -3 we get:
(-3t^2 + 18t + 9)/-3 = 0
t^2 - 6t - 3 = 0
The solutions are:
[tex]t = \frac{6 \pm \sqrt{(-6)^2 - 4*1*-3} }{2*1} \\\\t = \frac{6 \pm 6.92}{2}[/tex]
We only care for the positive solution:
t = (6 + 6.92)/2 = 6.46
The acceleration at that time is:
a(6.46) = - 6*6.46 + 18 = -20.76
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332x39 how do you work it out
Give the answer and an explanation
A triangle is said to be right angle if one of the angles is 90 degrees, the value of the side x for the given right angle triangle is 50.51.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° .
The given right-angle triangle has the following sides,
AC = Base
BC = Perpendicular
AB = Hyp.
By tan function,
Since,tanθ = Perp/Base
tan29° = 28/x
x = 50.51
Hence, "A triangle is said to be right angle if one of the angles is 90 degrees, the value of the side x for the given right angle triangle is 50.51".
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Could you please help with this.
Answer:
[tex] \sqrt[2]{15} = 7.5[/tex]