Answer:
[tex]l_c=5078.27ft[/tex]
Step-by-step explanation:
From the question we are told that:
Angle of inclination [tex]\angle=72 \textdegree[/tex]
Height [tex]h=4500ft[/tex]
Distance b\w cable base and mountain base [tex]d_{cm}=900ft[/tex]
Generally the equation for length of mountain base [tex]d_{mb}[/tex] is mathematically given by
[tex]Tan\theta=\frac{h}{d_{mb}}[/tex]
[tex]d_{mb}=\frac{h}{Tan\theta}[/tex]
[tex]d_{mb}=\frac{4500}{Tan 72 \textdegree}[/tex]
[tex]d_{mb}=1462.11ft[/tex]
Generally the Pythagoras equation for length of the cable [tex]l_c[/tex] is mathematically given by
[tex]l_c^2=h^2+(d_{mb}+d_{cm}^2)[/tex]
[tex]l_c^2=4500^2+(1462.11}+900}^2)[/tex]
[tex]l_c=5078.27ft[/tex]
jaxon is ordering a taxi from an online service. the taxi charger 4$ just for the pickup and then an additional $0.75 per mile driven. how much would a taxi ride cost that is m miles long?
Answer:
i think you asking for a equation if so here
hope it helps brainiest?
Step-by-step explanation:
x=total cost
x=0.75m+4
Given that y varies indirectly as x and that x = 15 when y = 3, then the value of k is
Answer:
Step-by-step explanation:
the equation of this function has the form y = k/x, and when x = 15 and y = 3, the value of k can be calculated as follows:
3 = k/15, or (by multiplying both sides by 15) k = 45
Then y = 45/x
The measurement of angle DBE is 0.1x-33 and the measurement of angle CBE is 0.3x-39 what's the value of x
Answer:
x = 405
Step-by-step explanation:
DBE is 0.1x-33 and the measurement of angle CBE is
The sum of both angles form a right angled triangle ;
DBE + CBE = DBC
DBC = RIGHT angled triangle = 90°
(0.1x-33) + (0.3x - 39) = 90°
0.1x - 33 + 0.3x - 39 = 90°
0.1x + 0.3x - 33 - 39 = 90
0.4x - 72 = 90
0.4x = 90 + 72
0.4x = 162
x = 162 / 0.4
x = 405
What is the perimeter?
Help plz...And No links!! I repeat No links!!
Answer:
36mm
Step-by-step explanation:
12^2 + 9^2 = c^2
144 + 81 = c^2
225 = c^2
[tex]\sqrt{225}[/tex] = 15
c = 15mm
12+9+15 = 36
Joules and calories are two different units of energy. The equation j=0. 239c relates the measures, where c stands for calories and j stands for joules. Complete the table
To complete the table, we can simply multiply the number of calories by 0.239 to find the equivalent amount of Joules.
The equation relates Joules to calories as j = 0.239c, where c stands for calories and j stands for joules. For example, 1 calorie is equal to 0.239 Joules, 2 calories is equal to 0.478 Joules, and so on.
Joules (j) Calories (c)
0.239c 1
0.478c 2
0.717c 3
0.956c 4
1.195c 5
1.434c 6
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HELP MEEEEEEEE PLEASEEEEEEEE
Answer: 75p
Step-by-step explanation:
So, if one kilogram of bacon is £1.50, then half a kilogram would cost half of that, so 75p
please help quickly
The polygons are similar. x = ___ Write your answer as a decimal
By using the fact that the two images are similar, we can write and solve a linear equation to get x = 3/2.
How to find the value of x?We know that the two figures are similar, then, if we take the quotient between the adjacent sides for both figures, these quotients should give the same value.
Thus, we can write the equation:
14/10 = (x + 9)/(x + 6)
Now we can solve that equation for x, if we multiply both sides by (x + 6) we will get:
(14/10)*(x + 6) = x + 9
Now we can multiply both sides by 10 to get:
14*(x + 6) = 10*(x + 9)
14x + 84 = 10x + 90
Now we can solve this linear equation for x.
14x - 10x = 90 - 84
4x = 6
x = 6/4
x = 3/2
That is the value of x.
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For every 150 dogs, there are 300 cats. write this ratio in simples form in all three ways.
Answer:
Step-by-step explanation:
150 : 300
In simplest form
1 : 2
In fraction form
1/2
In decimal form
0.5
Answer:
1:2 1/2 1÷2
Step-by-step explanation:
divide both of them by 150. You get 1:2, which can be converted to 1/2 and 1÷2
Write the number 100 as a product of its prime factors in the same way,
Write the factors in order, from smallest to largest.
Answer:
100 = 4×25
= 1×2×2×5×5
.......
HELP ASAP
The quadrilateral below is a trapezoid
Answer:
Step-by-step explanation:
9x+2+5x-4=180
14x-2=180
14x=80+2
x=182/14
x=13
angle B=5x-4
=5*13-4
=65-6
=61
What are the different types of algorithms?
Different types of algorithms are:
Brute Force algorithm Greedy algorithmRecursive algorithmBacktracking algorithmWhat is Brute Force algorithm?As a very general approach to problem solving and an algorithmic paradigm, brute-force search or exhaustive search—also referred to as generate and test—involves iteratively listing all potential candidates for the solution and determining whether each one satisfies the problem's statement.
A brute-force algorithm would count all integers from 1 to n and determine whether each one divides n without a remainder in order to find the divisors of a natural number n.
For the eight queens puzzle, a brute force method would look at all possible configurations of 8 pieces on the 64-square chessboard and determine whether each queen piece could engage in mutually exclusive attacks for each configuration.
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Change the following mixed numbers to improper fractions
a) 4 3/8 b) 2 1/3 c) 5 2/5
Answer:
A.35/8
B.7/3
C.27/5
those r the improper fractions of the mixed fractions
A cylindrical water tank of height 4 m is used to fill containers with dimensions 20 cm X 30 cm X 50 cm. If the tank can fill exactly 200 of these containers, find its base radius. (Take Pi = 3.14)
Answer:
0.35cm
Step-by-step explanation:
Step 1
We find the volume of the container.
The formula = Length × Width × Height
Length = 20cm
Width = 30cm
Height = 50cm
The volume of the tank = 20cm × 30cm × 50cm
= 30000 cm³
Step 2
We are told that:
The tank can fill exactly 200 of these containers
We have to find the volume that 1 cylinder will contain
Hence,
200 containers = 30000 cm³
1 container = x
Cross Multiply
200 × x = 30000cm³
x = 30000cm³/200
x = 150cm³
Step 3
We find the base radius of the cylindrical tank
Height = 4m
Convert to cm
1m = 100cm
4m = x
Cross Multiply
x = 4 × 100cm = 400cm
Volume of the cylinder = πr²h
Radius = √V/πh
Radius = √150/π × 400
Radius = 0.35 cm
Therefore, base radius = 0.35cm
Ricardo's town recently voted on a new education funding package. Of the voters who voted for the bill, 20% voted for it. What fraction of the voters voted in favor of the measure?
Enter the fraction in simplest form.
The fraction of the voters who voted in favor of the measure will be 1/5.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Ricardo's town recently voted on a new education funding package. Of the voters who voted for the bill, 20% voted for it.
The fraction of the voters who voted in favor of the measure will be given as,
⇒ 20%
⇒ 20 / 100
⇒ 1 / 5
The fraction of the voters who voted in favor of the measure will be 1/5.
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Hannah either walks or cycles to school. The probability that she walks to school is 0.75 If she walks, the probability that she is late is 0.6 If she cycles, the probability that she is late is 0.2 Work out the probability that on any one day Hannah will not be late for school.
If Hanna is walking there is a 0.4 chance of not being late. 0.75 x 0.4 = 0.3 probability of not being late.
If Hanna cycles there is a chance of 0.8 of not being late. 0.6 x 0.8 = 0.48.
0.48 + 0.3 = 0.78.
In other words, there is a 78% probability of her not being late.
Someone help me out my grade are bad
Answer:
-26Step-by-step explanation:
x - 4y =
-2 - (6 x 4) =
-2 - (24) =
-2 - 24 =
-26
Hope that helps! :)
-Aphrodite
PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.
Answer:
h ≤ 16
Step-by-step explanation:
If he plans to cook 16 of less hotdogs, h is going to be equal to or less than 16. The circle is closed because he could cook 16.
Answer:
For the first question it would be answer 4
Since they ask you "at most 16 hot dogs," that means that it has to be less than or equal to 16.
For the second question, you would put the endpoint on 16 and make the arrow going left.
Given square ABCD, what is the length of AD?
Combine the like terms to create an equivalent expression: 5n + 6 +(-7n) - 9
Answer:
-2n - 3
Step-by-step explanation:
5n + 6 + (-7n) - 9
5n + 6 - 7n - 9
5n - 7n + 6 - 9
-2n - 3
Please help! No links! Thanks!!
Answer: 30
Step-by-step explanation:
3 times 2 is 6 and divided by 2 is 3 and 3 times 10 is 30
Which point represents the value of –(–2) on the number line?
A number line has points A, negative 3, B, blank, 0, blank, C, 3, D.
Point A
Point B
Point C
Point D
The point that is -2 on the number line is point B. Option B
What is the number line?We know that the number line can be taken as a representation of the numbers. We ought to know that the numbers that we find on the number line are the numbers that are increasing to the right as shown.
In the question that we have, the task that is before us is that we should be able to locate the point on the number line that has been labelled as -2 on this the point B non the line. This is the point that is read off as -2.
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In the right triangle shown, mZA = 45° and AB = 12.
B
12
45
How long is BC?
Answer:
6sqrt(2)=8.5
Step-by-step explanation:
Using pythagoras theorem
The measure of BC is 8.486 unit.
What is Trigonometry?Trigonometry is the branch 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 angle is 45 degree.
Hypotenuse = 12 unit
Now, using Trigonometry
sin 45 = P/ H
sin 45 = BC / 12
0.707 = x/ 12
x = 8.486 unit
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Factor completely.
6y^2 — 30y
Answer:
6y² - 30y= 6y (y-5)
Step-by-step explanation:
4 of 7
June rolls a fair dice 234 times.
How many times would June expect to roll a one?
Answer: 39 times
Step-by-step explanation: A fair dice has 6 sides with each side having a different number between 1 and 6. Therefore, the probability of rolling a 1 is 1/6. To find out how many times June would expect to roll a 1 after rolling the dice 234 times, you must multiply 234 by 1/6 to get the answer of 39.
I need help plz no links
Answer:
Step-by-step explanation:
5x+8+6x-6=90
11x+2=90
11x=88
x=8
angle BOC = 6x-6 = 48-6 = 42 degrees
What is the x in 4x+20?
Answer:
the answer is 5 because if you divide it its your answer
Answer:
x=-5
Step-by-step explanation:
Set " 4x+20" equal to 0 (4x+20=0)
Do the opposite operation of 20 (in this case is subtraction) and subtract 20 from both sides (4x+20-20=0-20).
You'll be left with 4x=-20.
Divide both sides by 4 (4x/4=-20/4).
4 divided 4 equals x.
-20 divided by 4 equals -5.
x=-5.
Hope this was helpful.
What is the distance between the points (3,7) and (-2, 10)
Answer:
√34
Step-by-step explanation:
To find the distance between two points, you can use the distance formula, which is:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
We can plug in the points (3, 7) and (-2, 10) to get:
d = √[(-2 - 3)^2 + (10 - 7)^2]
We can simplify.
d = √[(-5)^2 + (3)^2]
d = √(25 + 9)
d = √(34)
d = √34
PLSSSSS HELP ME PLSSSSS I NEED TO EXPLAIN
PLS HELP ASAP 50 POINTS!!!!
Triangle ABC is congruent to triangle PDF. Dude AC corresponds to what side in triangle PDF
Answer:
PF
Step-by-step explanation:
Since the triangles are congruent, meaning they are the same shape, we can just match the lines between the two triangles. In triangle ABC, the line AC is the hypotenuse of the triangle. So, we need to find the hypotenuse of the triangle PDF. Looking, we can see the hypotenuse of the triangle PDF is the line, or side, PF.
Hope this helped!
For what value of k the given equation 4 K X² 2k 4 x+ 8k+ 1 0 is a perfect square?
For k=0 or k=3, the given equation will be a perfect square.
Note: we are taking the equation to be: (4−k) X^2+(2k+4) x+8k+1=0
Taking,
(4−k) X2+(2k+4) x+8k+1=0
Here, a=4+k, b=2k+4, c=8k+1
The given equation will be a perfect square, When D= 0
We know, D = b^2−4ac [A perfect square trinomial is an expression that can be generated from the square of a binomial equation. If an equation has the formula ax^2 + bx + c and meets the requirement b^2 = 4ac, it is referred to as a perfect square trinomial. The formula for the perfect square has the following variations: ax2 + 2abx + b2 = (ax + b). When b^2 = 4ac, we know that an equation is a perfect square.]
b2−4ac=0
(2k+4)2−4(4−k) (8k+1) =0
4k2+16+16k−4(32k−8k2+4−k) =0
K2+4+4k−32k+8k2−4+k=0
9k2−27k = 0
K2−3k = 0
k(k−3) =0
k=0 or k=3
Hence for k=0 or k=3, the given equation will be a perfect square.
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