A pilot who is flying at a height of 528 feet must land because of a storm. 14.78° angle of depression should he utilize to land.
Given that,
A pilot who is flying at a height of 528 feet must land because of a storm.
We have to find what angle of depression should he utilize to land if the distance between him and the landing strip is 2000 feet horizontally.
In the right angle triangle:
TanΘ=Opposite side/ adjacent side
The opposite side is 528 feet.
The adjacent side is 2000 feet.
Then,
TanΘ=528/2000
TanΘ=0.264
Θ=Tan⁻¹(0.264)
Θ=14.78°
Therefore, 14.78° angle of depression should he utilize to land.
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can someone help me really quick
If the price of apples are proportional, the value of p is $6.75.
What is the value of p?If the relationship between the price of apples and the number of apples bought are proportional, it means that as the number of apples bought increases, the price paid would increase.
The function that represents the cost of purchasing apples is:
Total cost = cost per apple x number of apples bought
$4.50 = 6c
c = $4.50 / 6
c = $0.75
The price of 9 apples is p
p = 9 x $0.95
p = $6.75
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A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. price of 9 apples is $6.75.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
We need to find the value of p.
For 6 Apples the price is $4.5
We need to find for 9 apples.
For 9 apples the price is p, which we have to find
Let us form a equation to find it.
6/4.50=9/p
Apply cross multiplication
6p=4.5(9)
6p=40.5
Divide both sides by 6
p=6.75
Hence price of 9 apples is $6.75.
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Please Help me graph the linear equation!! 70 Points
Answer:
Step-by-step explanation:
We will follow the same steps as in the previous question. First, we can start by leaving the variable [tex]y[/tex] alone.
[tex]2y=5x+11[/tex][tex]y=\frac{5x+11}{2}[/tex]In this step, let's be careful to give the variable [tex]x[/tex] odd numbers. The rational expression will then be an integer.
For [tex]x=1,y=8[/tex]For [tex]x=-1, y=3[/tex]For [tex]x=-3, y=-2[/tex]Finally, connect these three points. You can see the connected version in the photo. Good luck!
María compro dos boletos para una rifa con dis números
rosa compró 4 boletos calcular la
probabilidad de cada una de ganar
Answer:
translate to eng
Step-by-step explanation:
you play a casino game until you win for the first time. on average, you win for the first time on the 11th game played. what is the probability of winning the game? round your answer to three decimal places.
The probability of winning the game is 1/11.
what is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.
Given:
If we win the first time on the 11th game played.
So, we can consider the total is 11.
So, the probability of winning the game
= 1/11
Hence, the probability of winning the game is 1/11.
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Finding a final amount in a word problem on expA certain forest covers an area of 2600 km². Suppose thaUse the calculator provided and round your answer to the2.kmХ?
Since the area decreases the same percent each year, we will use the exponential function of decay to solve the question
[tex]f(x)=ab^x^{}[/tex]Where:
a is the initial value
b is the factor of decay
y is the new value
x is the time
[tex]\because a=2600km^2[/tex][tex]\because b=1-\frac{7}{100}=0.93[/tex][tex]\because x=7years[/tex][tex]y=2600(0.93)^7[/tex]Let us find the answer using the calculator
[tex]y=1564.422264km^2[/tex]Round it to the nearest square km means a nearest whole number
y = 1564 km^2
The final amount is 1564 square kilometers
A plumber charges $25 for a service call plus $50 per hour of survice write an equation in slope-intercept form the cost for,C, after h hours of survice
The total cost for 8 hours of work is $425.
The total cost for 10 hours of work is $525.
The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.
Cost = fixed charge + variable charge
C = $25 + $50h
The total cost for 8 hours
$25 + $50(8)
$25 + $400
= $425.
The total cost for 10 hours
$25 + $50(10)
$25 + $500
$525.
The sum of the first 100 positive even numbers show your work
Answer:
In both cases we get the same answer: the sum of the first 100 positive even numbers is 10,100.
Step-by-step explanation:
2 + 4 + 6 + 8 + ....+ 198 + 200 =
= (2 + 200) + (4 + 1998) + ... + (100 + 102) = 50*202 = 10,100
₁ d 4. Ca are not to scale): 3,4 cm 37 mm 3,2 cm 4,3 cm b) 0.3. Calculate the perimeter of the polygons in centimeters
darnel is the executive chef at a mediterranean restaurant famous for its spicy tomato sauce. every week, he takes inventory and then places an order for what he needs. since his spicy tomato sauce is so popular, darnel needs to order more tomatoes every week. there is a proportional relationship between the amount of tomatoes he orders (in pounds), x, and their cost (in dollars), y. x (pounds) y (dollars) 22 $88 23 $92 24 $96 25 $100 what is the constant of proportionality? write your answer as a whole number or decimal. dollars per pound
The constant of proportionality between the amount of tomatoes he orders (in pounds), and their cost (in dollars) is: 4 dollars per pound
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
pounds , dollars
22, $8823, $9224, $9625, $100Calculating the proportion of the amount of tomatoes he orders and their cost we get:
Proportion dollars per pound = Dollars / pound
Proportion dollars per pound = $88/ 22 pounds = 4 $/pound
Proportion dollars per pound = $92/ 23 pounds = 4 $/pound
Proportion dollars per pound = $96/ 24 pounds = 4 $/pound
Proportion dollars per pound = $100/ 25pounds = 4 $/pound
As we could get the constant of proportionality is 4 $/pound
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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If f(1)=4 f(2)=5 and f(n)=f(n-1) + f(n-2) then find the value of f(5)
Answer:
23
Step-by-step explanation:
f(3) = f(2) + f(1) = 5 + 4 = 9
f(4) = f(3) + f(2) = 9 + 5 = 14
f(5) = f(4) + f(3) = 14 + 9 = 23
Answer:
substituting n by 5 gives;
f(5)=(5-1)+(5-2)=7
Rational equations from algebra 2. Please provide steps. You don't have to solve all of the equations, any one of them will help. Thank you!
The rational equation is simplified to x² - 17x = 0
What is an algebraic expression?An algebraic expression can simply be defined as an expression composed of factors, variables, terms, coefficients and constants.
These expression are also described as expressions consisting of arithmetic operations such as;
ParenthesesBracketMultiplicationAdditionSubtractionDivision, etcGiven the expression;
1/2 - 7/2x = 5/x
find the lowest common multiple
x - 7 /2x = 5/ x
cross multiply
x(x - 7) = 5(2x)
multiply through
x² - 7x = 10x
collect like terms
x² = 10x + 7x
x² - 17x = 0
Hence, the equation is x² - 17x = 0
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Triangle CDE is translated down and to the right, forming triangle C'D'E'.
E
C'
Which congruency statement is correct?
O ADCE AD'E'C'
~
ADCE AD'C'E'
AEDC AC'D'E'
AEDC AC'E'D'
D'
E
Ε'
Hence when ΔCDE is translated to ΔC'D'E', the congruency is correct ΔDCE ≅ ΔD'C'E'
What is translation of triangle?
Triangle is a shape with three angles, thus when it is translated downward, it returns to its original form.
Triangle will remain unchanged after translation since the length of the sides and the measure of the angles are not altered.
Translation involves moving the same triangle to a new location while maintaining the triangle's angle and side.
therefore,
CD ≅ C'D'
CE ≅ C'E'
DE ≅ D'E'
Hence, Option (B) is correct answer.
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If the point C (-6, 9) is reflected over the y-axis, the coordinates of C’ would be ________.
Answer:
C' (6, 9 )
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
C (- 6, 9 ) → C' (6, 9 )
q - r - 3s = p solve for q
Answer:
q = p + r + 3s
Step-by-step explanation:
q - r - 3s = p solve for q
q - r - 3s = p
add r to both sides:
q - r - 3s + r = p + r
q - 3s = p + r
add 3s to both sides:
q - 3s + 3s = p + r + 3s
q = p + r + 3s
If [tex]f(x) = -4x^{5} and g(x) = 10x^9 - 12x^4 + 6[/tex] (what is f x g) x?
A.) [tex]-40x^{14} + 48a^{3} x^{9} +6[/tex]
B.) [tex]40x^{14} - 12x^{4} + 6[/tex]
C.) [tex]-40x^{14} + 48x^{9} - 24x^{5}[/tex]
D.) [tex]-40x^{9} + 48x^{4} - 24[/tex]
Answer:
C
Step-by-step explanation:
(f×g)x just means
f(x) × g(x)
Multiply the two given functions together. Use distributive property. To multiply terms with the same base, add the exponents.
see image.
10x-6=5y
Tttttttgfffffffffffffffd
Answer: I am guessing that you want to know what x and y equals
What is the slope of the line x=4?
O A. 0
O B. Undefined
O C. 4
• D.1
Answer:
B. Undefined
Step-by-step explanation:
x = 4 is a vertical line, and vertical lines are Undefined because they go straight up.
what is 4 2/3 + 1 3/4?
Answer: 6 5/12
Step-by-step explanation: You could do 3x4 = 12
so, 2x4 = 8, also 3x3 = 9 which would be 4 8/12 + 1 9/12, then just add.
Answer:
6 5/12
Step-by-step explanation:
We can first begin by separating the whole number and the fraction:
4 + 2/3 + 1 + 3/4
After reordering, it becomes:
4 + 1 + 2/3 + 3/4
5 + 2/3 + 3/4
Now, we must find the common denominator for the fractions so that we may add them:
The common denominator is 12.
5 + 2(4)/3(4) + 3(3)/4(3)
5 + 8/12 + 9/12
5 + 17/12
Simplifying the improper fraction gives us:
5 + 1 + 5/12
And the final answer is:
6 + 5/12
6 5/12
Hope this helped!
-3+n ≥ -4n-3 or 3n-4≥4n + 1
Answer:
-3+n ≥ -4n-3
Step-by-step explanation:
its good to use a number for n
if n = 5
-3+n ≥ -4n-3 or 3n-4≥4n + 1
for
-3+n ≥ -4n-3
-3+5 ≥ -4(5)-3
-2 ≥ -20-3
-2 ≥ -23
true
for
3n-4≥4n + 1
3(5)-4≥4(5) + 1
15-4≥20 + 1
11 ≥20 + 1
11 ≥21
not true
How to factorize this?
[tex]5x {}^{3} - 9x { }^{2} - 17x - 3[/tex]
The expression when factorized is (5x + 1)(x + 1)(x - 3)
How to factorize the expression?From the question, the expression is given as
5x³ - 9x² - 17x - 3
Express 9x² as 5x² - 15x² + x²
So, we have
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² - 17x - 3
Express -17x as x - 3x - 15x
So, we have
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² + x - 3x - 15x - 3
Rearrange the terms
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² - 15x + x² + x - 3x - 15x - 3
Group the terms in 4's
5x³ - 9x² - 17x - 3 = (5x³ + 5x² - 15x² - 15x) + (x² + x - 3x - 15x - 3)
Factorize each group
5x³ - 9x² - 17x - 3 = 5x(x² + x - 3x - 3) + 1(x² + x - 3x - 3)
So, we have
5x³ - 9x² - 17x - 3 = (5x + 1)(x² + x - 3x - 3)
Factorize x² + x - 3x - 3
5x³ - 9x² - 17x - 3 = (5x + 1)(x(x - 3) + 1(x - 3))
So, we have
5x³ - 9x² - 17x - 3 = (5x + 1)(x + 1)(x - 3)
Hence, the factorized expression is (5x + 1)(x + 1)(x - 3)
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the sides of a rectangle are in the ratio 4:5.If the breadth is 10cm find the length of the rectangle
Answer:
If breadth means width then it will be 12.5
6. Which of the following facts, if true, would allow you to prove that lines I and m are parallel? (1 point)
5/6
7 8
m22-m23
m27+m28=180*
Om24-m25
m26+m22=180°
1
3
4
2
m
Answer:
The first 3 answers
Step-by-step explanation:
∠2 and ∠3 are vertical angles which means they are congruent. That would then make ∠1 and ∠4 congruent.
∠7 and ∠8 = 180 means that is a straight line.
∠4 and ∠5 are alternate interior angles which make them congruent.
That would then mean ∠3 and ∠4 = 180 which is a straight line because ∠3 would then be a corresponding angle to ∠7.
Please help me!!!! Worth 20 points
In the probability distribution table x=76 and p(x) is 0.3.
Here X is a random variable. P(X) is its probabilities corresponding to the different values of X.
now according to the properties of probability theory we know that sum of probabilities is 1.
so here to find the value of the probability of X corresponding to the value 76 we should use the following steps:
sum of given probabilities =(0.4+0.2+0.1) = 0.7required probability = 1 - sum of given probabilities = 1 - 0.7 = 0.3What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of random events. The value is expressed from zero to one. The calculus of probability is introduced in mathematics to predict the probability of events occurring. Probability basically means the degree to which something is likely to happen. It is a basic theory of probability that is also used in probability distribution, where the probability of the result of a random experiment is studied. To determine the probability of an event, we should first know the total number of possible outcomes.
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What’s the answer plss
Answer: 18.1 cm, ( i think you can use a ruler)
Step-by-step explanation:
2/11 and 1/5 common denominator
Answer:
The answer is 55.
Step-by-step explanation:
2/11 = 2/11 × 5/5 = 10/55
1/5 = 1/5 × 11/11 = 11/55
Answer:
55
Step-by-step explanation:
2/11 and 1/5
To find the common denominator, take 11 and multiply by 5
11*5 = 55
2/11 * 5/5 = 10/55
1/5 * 11/11 = 1/55
What is the probability of landing on a number greater then 5 and then landing on a number greater then 4
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for calculating probability
[tex]Probability=\frac{number\text{ of required outcomes}}{number\text{ of total possible outcomes}}[/tex]STEP 2: Find the probability of landing on a number greater than 5
[tex]\begin{gathered} Pr(greater\text{ than 5\rparen}=Pr(6\text{ and above\rparen} \\ Pr(greater\text{ than 5\rparen}=Pr(6)=\frac{1}{4} \end{gathered}[/tex]STEP 3: Find the probability of landing on a number
Find the equation of a line perpendicular to 4x+4y=32 that passes through the point (7,1)
The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is x - y = 6 .
In the question ,
it is given that
the required line is perpendicular to 4x + 4y =32
the slope of 4x + 4y =32
4y = -4x + 32
y = -x + 8
slope = -1
so the slope of the perpendicular line [tex]=[/tex] 1 .
the equation of the perpendicular line passing through (7,1) and slope as 1 is
(y - 1) [tex]=[/tex] 1 (x - 7)
y-1 = x-7
x - y = 7-1
x - y = 6
Therefore , The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is x - y = 6 .
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Look at this diagram:If KM and NP are parallel lines and m
Answer
Angle NOL = 70°
Explanation
Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the two lines are parallel to each other, then alternate angles are equal.
We can see that Angle MLO and Angle NOL are alternate angles.
And since we have been told that KM and NP are parallel lines,
Angle NOL = Angle MLO = 70°
Hope this Helps!!!
10 gal to quarts ? qt
40 quarts
Explanation
to figure out this we need to know the equivalence
[tex]1\text{ gal=}4\text{ quarts}[/tex]therefore, to convert gal into quarts jus multyply by 4
so
[tex]\begin{gathered} 10\text{gal}=\text{ 10gal}\cdot4(\frac{quarts}{gal}) \\ 10\text{gal}=40\text{ quarts} \end{gathered}[/tex]so, the answer is
40 quarts
I hope this helps you
Debra makes 26.40 from selling 52.8 ounces of lemonade. Find the unit price in dollars per ounce. If necessary, round your answer to the nearest cent.
The unit price in dollars per ounce is 0.5 dollars per ounce.
According to the question,
We have the following information:
Debra makes 26.40 dollars from selling 52.8 ounces of lemonade.
Now, to convert this into dollars per ounce, we will divide the total amount by the number of ounces of lemonade:
Dollars per ounce = 26.40/52.8
Dollars per ounce of lemonade = 0.5
Now, we can also convert this into cent.
We know that 100 cent make 1 dollar.
So, 0.5 cents will make (0.5*100) cents or in other words, 50 cents.
Now, it will be 50 cents per ounce.
Hence, the units price of lemonade in dollar per ounce is 0.5.
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