A guy wire supports a cell-phone tower. The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower. What is the length of the guy wire, rounded to the nearest foot? 20 ft 28 ft 49 ft 59 ft A right triangle. The base is labeled 34 feet. The angle made between the base and the hypotenuse is labeled 55 degrees. The angle made between the base and the perpendicular is marked as a right angle.
The length of the guy wire (rounded to the nearest foot) is 20 ft. Then the correct option is A.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A guy wire supports a cell phone tower.
The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower.
Base = 34 ft.
The length of the wire will be given as
[tex]\rm Wire \ length = 34 * cos\ 55^o\\\\Wire \ length = 19.5 \approx 20 \ ft[/tex]
The length of the wire is 20 ft. Then the correct option is A.
More about the right-angle triangle link is given below.
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Answer:
is 59ft
Step-by-step explanation:
just took the test
Which property of equality would you use to solve x - 5 = 7
Answer:
See below.
Step-by-step explanation:
x-5=7
+5 +5
x=12
You would use the addition property of equality.
-hope it helps
Please Help Its A Math Problem!! A baseball player hits a baseball 4 feet above the ground with an initial velocity of 80 feet per second.
Write an equation for this situation?
Question options:
h(t)=−16t2+80t+4
h(t)=−16t2+4t+80
h(t)=−16t2+84t
h(t)=−16t2+84
Answer: h(t)=[tex]16x^{2} \\\\[/tex]+80t+4
Step-by-step explanation:
80 if feet per second so it's 80*seconds where seconds equals t
this gets you 80*t or 80t.
You need to add 4 because that's the initial height to start with so 16x^2+80t+4
Answer:
The answer is A
Step-by-step explanation:
Reflect (7,3) across the y-axis.
Then reflect the result across the y-axis again.
What are the coordinates of the final point?
Answer:
(7, 3)
Step-by-step explanation:
If we reflect a point/figure across the y-axis, the rule is (x, y) -> (-x, y).
(7, 3) -> (-7, 3)Now, let's reflect it against the y-axis again.
(-7, 3) -> (7, 3)As you can see, we're back to where we started- at (7, 3). Thus, we can conclude that reflecting across the y-axis twice will result in the original point/figure.
13 The circumference of the circle and the perimeter of the rectangle are equal.
The circle has a diameter of 20 cm.
The rectangle has a length of 18 cm.
Not drawn accurately
x
20 cm
18 cm
Work out the width of the rectangle, marked x on the diagram.
cm.
Round your answer to 1 decimal place.
Help!!!
Answer:
Step-by-step explanation:
Note:
Circumference of a circle = [tex]\pi d[/tex]
Where d = diameter
We are given the diameter is 20cm, d = 20
Circumference of circle = [tex]\pi d[/tex] = 20 [tex]\pi[/tex]
Also, perimeter of a rectangle = 2 times length + 2 times width
We are told the length = 18 , width = x
Perimeter of rectangle = 2 times 18 + 2 times x
Perimeter of rectangle = 36 + 2x
The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:
So this means:
Since Circumference of circle = 20[tex]\pi[/tex] ,
Perimeter of rectangle = 36 + 2x .
We can write:
Circumference of circle = perimeter of rectangle
20[tex]\pi[/tex] = 36 + 2x
Subtract 36 from both sides
20[tex]\pi[/tex] - 36 = 2x
Divide both sides by 2 to solve for "x".
x = [tex]\frac{20\pi - 36 }{2} = ?[/tex]
Plug it into your calculator and then just round it to 1 decimal place.
Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.
geometric series
the quadrilateral is also a rectangle as the rectangle and the quadrilateral have 4 sides.
Solve the inequality and SHOW ALL WORK Plz Help Now Due In 15 minutes
−(1+5x)−6(−1+5x)≤−65
[tex] - 1 - 5x + 6 - 30x \leqslant - 65[/tex]
[tex] - 35x + 5 \leqslant - 65[/tex]
Factoring -5
[tex] - 5(7x - 1) \leqslant - 65[/tex]
Divided sides by -5
##############################
Point :
If the sides of an inequality are multiplied by or divided by a negative number, the direction of the inequality changes and returns.
##############################
[tex] \frac{ - 5}{ - 5}(7x - 1) \geqslant \frac{ - 65}{ - 5} \\ [/tex]
[tex]7x - 1 \geqslant 13[/tex]
Plus sides 1
[tex]7x - 1 + 1 \geqslant 13 + 1[/tex]
[tex]7x \geqslant 14[/tex]
Divided sides by 7
[tex] \frac{7}{7}x \geqslant \frac{14}{7} \\ [/tex]
[tex]x \geqslant 2[/tex]
Done ♥️♥️♥️♥️♥️
32000 divided by 14 needs to be an whole number.
Answer:2,286:L
Step-by-step explanation: you just round .
The 32000 divided by decimal 14 does not yield a whole number.
To determine if 32000 divided by 14 results in a whole number, to check if 14 is a factor of 32000. If it is, then the division will yield a whole number.
Let's divide 32000 by 14:
32000 ÷ 14 = 2285.7142857142857...
The division does not result in a whole number. The result has decimal places, indicating that 14 is not a factor of 32000.
To know more about decimal here
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The bumper car ride at the state fair has 2 red cars, 3 green cars, and 3 blue cars. Janet is first in line for the ride and is assigned a car at random. Sarah is next in line and is randomly assigned a car. What is the probability that both Janet and Sarah will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
96.4%
25%
6.3%
3.6%
The probability (in percentage form) is 3.6%, so the correct option is the last one.
How to find the probability?First, Janet is assigned to a car. We want to find the probability that it is a red car. All the cars have the same probability of being assigned, then the probability of getting a red car is equal to the quotient between the number of red cars and the total number of cars:
p = 2/(8) = 1/4
Now there is 1 red car left and 7 cars in total left.
Sarah is next on line, the probability that she gets a red car will be:
q = 1/7
The joint probability (the probability of both of these events happening) is given by the product of the two individual probabilities, so we get:
P = (1/4)*(1/7) = 0.036
If we multiply this by 100%, we get:
P = 100%*0.036 = 3.6%
So the correct option is the last one.
If you want to learn more about probability, you can read:
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[tex] \sf \large \: If \: y = Sin x \: * Cos \: 2x \: Find \frac{dy}{dx} [/tex]
Thanku!
Answer:
cos (x) cos (2x) - 2sin(x) sin(2x)Solution:
(See the solution in the photo)
Answer:
[tex]\sf -5\cos \left(x\right)+6\cos ^3\left(x\right)[/tex]
explanation:
[tex]\sf y = sin(x) * cos(2x)[/tex]
[tex]\rightarrow \sf \frac{d}{dx}\left(sin\left(x\right)\ * \:\:cos\left(2x\right)\right)[/tex]
[tex]\sf \bold {Apply\:the\:Product\:Rule}:\quad \left(f\cdot g\right)'=f\:'\cdot g+f\cdot g'[/tex]
[tex]\rightarrow \sf \frac{d}{dx}\left(\sin \left(x\right)\right)\cos \left(2x\right)+\frac{d}{dx}\left(\cos \left(2x\right)\right)\sin \left(x\right)[/tex]
[tex]\sf \bold{ Apply \ differentiation \ rule \ \ \ : } \ \ \ sin(x) = cos(x) \ \ and \ \ cos(x) = -sin(x)[/tex]
[tex]\rightarrow \sf \cos \left(x\right)\cos \left(2x\right)+\left(-\sin \left(2x\right)\ * \:2\right)\sin \left(x\right)[/tex]
[tex]\rightarrow \sf \cos \left(x\right)\cos \left(2x\right)\left-2\sin \left(2x\right)\sin \left(x\right)[/tex]
[tex]\sf \bold {use \ the \ formulae \ : \ cos(2x) = 2cos^2(x) - 1} \ {and} \ \ \sf \bold{sin(x) = 2 sin x cos x}[/tex]
[tex]\rightarrow \sf cos(x) (2cos^2 (x) -1) -2(2sin(x)cos(x)sin(x))[/tex]
[tex]\rightarrow \sf 2cos^3 (x) - cos(x) - 4sin^2(x) cos(x)[/tex]
[tex]\rightarrow \sf -5\cos \left(x\right)+6\cos ^3\left(x\right)[/tex]
(;-;) I NEED HELP W THIS PLSSS HELP WILL MARK BRAINLIEST
Answer:
With respect to angle A, a is opposite, b is adjacent, c is the hypotenuse
With respect to angle B, b is opposite, a adjacent, and c is the hypotenuse.
Step-by-step explaination:
To find the opposite side of an angle of a right triangle - look at the side that is directly across from that angle. For example, angle A shows that the side directly across from it is side a.
To find the adjacent side of an angle of a right triangle - look at the side that is right next to it and connected to the 90 degree angle. For example, angle B shows that the side that is next to it and connected to the 90 degree angle is side b.
The hypotenuse will always be the longest side opposite the 90 degree angle.
im bad at angles pls help lol
n<DEH =
Exact form:
x = 29/2
Decimal form:
x = 14.5
Mixed number form:
x = 14 1/2
Total:
(12x+6) = 180
QUESTION 2n<HEG =
Exact form:
x = 179/7
Decimal form:
x = 25.57142857
Mixed number form:
x = 25 4/7
Total:
(7x+1) = 180
QUESTION 3n<GEF =
Exact form:
x = 91/3
Decimal form:
x = 30.3
Mixed number form:
x = 30 1/3
Total:
(6x-2) = 180
Hope it helps!!!Brainliest pls!!!Let c(t) be the number of customers in Starbucks t hours after 6:00am. Explain the meaning of the statement
The revenue function for a bicycle shop is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=800−0.5x is the unit price. Find the maximum revenue.
Answer:
The maximum revenue is $320,000
Step-by-step explanation:
To find the maximum of a function f, the procedure is as follows:
Find the first derivative of f.Equate the derivative to 0. Solve the resulting equation to get the critical points.Try all the critical points in the original function and select the one that maximizes it.The revenue function for a bicycle shop is
R(x)=xp(x), where p(x)=800-0.5x. Substituting:
[tex]R(x)=x(800-0.5x)=800x-0.5x^2[/tex]
Find the first derivative of R:
R'(x)=800-x
Equate to 0:
800-x=0
Solve:
x=800
There is only one critical point. Substitute it into the revenue function:
[tex]R(800)=800(800)-0.5(800)^2=320,000[/tex]
The maximum revenue is $320,000
What is the answer for 1-n/5=12?
Answer:
n= -5
Step-by-step explanation:
1-n/5 = 12
cross 1 to the other side.
new equation :
-n/5 = 11
Multiple 5 on both sides
divide the negative sign on n on both sides
n = -55
Convert 2.19 liters to milliliters.
Enter your answer in the box.
Hey there!
1 litres = 1000 milliliters
To find the value we multiply litres × 1000
=> 2.19 × 1000
=> 2190
Therefore, 2.19 to milliliters is 2190 millilitres
Tomas asked 33 students whether summer breaks should be longer. He used his calculator to divide the number of students who said Yes by the total number of students. His calculator showed the result as 0.878787. Write this number as a fraction
Answer:
0.878787 as a fraction equals 878787/1000000
Answer:
Step-by-step explanation: Thomas is very beautiful and he come to my house to visite it.
[tex]\sqrt{54y^{11}z^{5} }[/tex]
What, do you want that thing to be answered? There is a app that does your math for you in a few seconds i hope ya know. I dont think anyone here could figure that out either.
pls i beg for an answer and pls explain how u got that answer too! PLSSSSSSSSSSSSSSSSSSS
Answer:
c) (-3,1)
Step-by-step explanation:
See, the turning point here is the maximum point. The coordinates of the turning point will give you the maximum value of g.
Now, how will you know if it's maximum or minimum by seeing a graph? It's simple, a smiley curve has a minimum point and a sad curve has a maximum point.
I hope it helped.
The number of siblings each student at a softball game has is recorded. The graph below shows the probability distribution of having any number of siblings, X, for a randomly selected student. Which number of siblings is least likely?.
The number 4 siblings are least likely to be selected
What is the number of a sibling to be selected?Probability is the likelihood of an event occurring or not. Probability value ranges from impossibility(0) to certainty(1).
The lower the value, the less likely the event is bound to occur.
From the probability distribution table, the probability of having 4 siblings at the game is 0.
This is the lowest out of all the given values in the probability distribution table. Therefore, it is the least likely event.
Thus the number 4 siblings are least likely to be selected
To know more about probability follow
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a2 - b2 - 2a + 1 plss give me answer fast
Answer:
( a − 1 + b )( a − 1 − b )
.
Answer:
(a−1+b)(a-1−b)
Step-by-step explanation:
pls answer pls pls pls
what do you mean help? Help with what ask a question
Find the measure of angle c in the triangle below. Then find the length of segment BC
Answer:
Step-by-step explanation:
it is a lyrical rendition of different improvised text.
Answer:
the Mindanao part of the Philippines they have MUSIC OF MINDANAO that originates from the people living there. They have names for the different music that they play and perform. One of these is the CHANT(S), which is the lyrical rendition of different improvised text. Every culture differs and possess a very good way of performing their own and unique music. An example of this is LUGU which is a Chant that they use in reading his Qur'an and other books they use in his Islam religion.
For more info kindly check the links below:
brainly.ph/question/1149591
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brainly.ph/question/538
32 + (-12 7/8) what is it I mak u brainlyiest or whatever
Answer:
The answ is 20 7/8
Step-by-step explanation:
Answer:
44 7/8
Step-by-step explanation:
Hope this helps!
And just to make sure do you mean twelve and seven eighths?
Solve for x + 5 = 30
Answer:
25
Step-by-step explanation:
The graph shows information about the costs of taxi journeys in France.
For each journey, there is a fixed charge plus a charge for the distance travelled.
a) How much is the fixed charge?
Jean makes two journeys by taxi.
One journey is 6km more than the other journey.
b) Work out the difference between the costs of these two journeys.
The fixed charge is about 5 pound. For extra 6 km, extra cost is about 9 pound
What is a linear equation?A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value of y.
From the graph:
The fixed charge is about 5 pound.
Using the point (0, 5) and (20, 35)
Charge per mile = (35 - 5) / (20 - 0) = 1.5 pound per mile
For extra 6 km, extra cost = 1.5 * 6 km = 9 pound
Find out more on linear equation at: https://brainly.com/question/2972832
Which equation is set up appropriately to solve for the variable y?*
1 point
W
(4y – 4)º
Z
52°
Y
Зу°
Х
MZWXY + m_YWX = m_XYW
MLZYW + m_YWX = m2WXY
ОА
B
Please don’t send me a link
Answer:
finde the equation exponent statment for the foollwing
Which shows one way to determine the factors of 12x3 – 2x2 18x – 3 by grouping?.
The equation which shows the one way to determine the factors of provided equation by grouping is,
[tex]2x^2(6x-1)+3(6x-1)[/tex]
What is a factor of polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The provided polynomial equation is,
[tex]12x^3 - 2x^2 +18x - 3[/tex]
To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.
[tex]12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)[/tex]
Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,
[tex]2x^2(6x-1)+3(6x-1)[/tex]
Learn more about factor of polynomial here;
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What is the volume of a sphere with a radius of 2.5 units?
Answer: A sphere (from Greek σφαῖρα—sphaira, "globe, ball") is a geometrical object that is a three-dimensional analog to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the center of the sphere, and r is the sphere's radius. The earliest known mentions of spheres appear in the work of the ancient Greek mathematicians.
Step-by-step explanation: The formula used to calculate the sphere radius is: r = ∛((3/4) · V / π) Symbols. r = Sphere radius; V = Sphere volume; π = Pi = 3.14159… The volume of Sphere. Enter the volume contained within a sphere. The radius of Sphere. This is the radius of a sphere that corresponds to the specified volume.