In an obstacle course, participants climb to the top of a tower and use a zip line to travel across a mud pit. The zip line extends from the top of a tower to a point on the ground 60 feet away from the base of the tower. The angle of elevation of the zip line is 20°. Estimate the length of the zip line to the nearest tenth of a foot.
about 63.9 ft
about 21.8 ft
about 175.4 ft
about 164.8 ft
Using relations in a right triangle, it is found that the length of the zip line is of about 63.9 ft.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, the hypotenuse is the length of the line, considering that the base of 60 ft is adjacent to the angle of 20º, hence:
[tex]\cos{20^\circ} = \frac{60}{l}[/tex]
[tex]l = \frac{60}{\cos{20^\circ}}[/tex]
[tex]l = 63.9[/tex]
The length of the zip line is of about 63.9 ft.
More can be learned about the relations in a right triangle at https://brainly.com/question/18090623
Multiply
- 4u^2(-5u^3)
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Multiply~Powers:[/tex]
[tex]\bold{To~multiply~powers~of~the~same~base,~add~their~exponents.}[/tex][tex]\bold{2+3=5}[/tex][tex]2.)~Multiply~Bases:[/tex]
[tex]\bold{-4}[/tex] × [tex]\bold{-5=20}[/tex][tex]\bold{When~you~multiply~2~negatives,~the~product~will~always~be~positive.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{The~simplifed~version~of~the~power~is~\boxed{20u^5.}}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}[/tex]
(-4×√1/16÷0.5) and (3+(-5))²
you answer is this 364. 41
your welcome
have a good day or night
Answer:
3.5
Step-by-step explanation:
An object is moving at a speed of 3 meters per minute. Express this speed in miles per year.
Answer:
979.78.
Step-by-step explanation:
Answer:
979.78
Step-by-step explanation:
The basketball team earned $215 by washing cars. They want to buy basketballs that cost $39 each. How many can the team buy?
Answer:
The team can buy 5 basketballs
Step-by-step explanation:
215 / 39 = 5.51
or
5 with a remainder of 20 dollars.
We simply cannot buy 0.51 of a basketball, unless you bring a saw...
Answer:
they can buy 5 balls, and they will have 20 dollars left over.
Step-by-step explanation:
to solve, divide 215 by 39, so 215/39 which gives us 5.512. and since we cant have half of a ball, and we do not have enough capital to buy another ball, we settle for the 5. it isnt important, but to get the leftover money, just multiply 5 by 39, or 5x39 to get 195. then subtract the original value to get 20 dollars.
hope this helps, please rate and mark as brainlest.
Aldo drove 845 miles in 13 hours.
At the same rate, how long would it take him to drive 325 miles?
Answer:
5 hours
Step-by-step explanation:
time per mile = number of hours ÷ number of miles
= 13 ÷ 845
= 1/65 hours per mile
time to drive 325 miles = 325 × time per mile
= 325 × 1/65
= 5 hours
Simplify this expression: One-half k squared + g minus 3 + one-half k squared minus 3 + 2 g k2 + 3g – 6 One-fourthk2 + 3g 3g + 9 k2 – 3
Answer:
The answer is A, k2 + 3g – 6
Step-by-step explanation:
did the assignment on edge2020
A:
Simplify this expression: One-half k squared + g minus 3 + one-half k squared minus 3 + 2 g
Help please 9a
I can’t solve it
Step-by-step explanation:
answer in the image here I hope it's good for you
Stan swam 100 meters in 2 minutes. At this rate, how many meters would he swim in 20 minutes? Plss answer asap (30 brainlist for the correct answer)
Answer:
1000 metres
Step-by-step explanation:
2 mins= 100 meters
20mins=
100meters × 20mins
2 mins
=1000 meters
Question 2 The sales rack in the women's clothes department of a department store contains 32 sweaters. The sizes and colors of these sweaters are given in the table below Sweaters on Sale Color Black Blue Pink Red White Small 4 2 3 Size Medium 4 5 5 2 1 Large 2 1 2 1 What is the probability that a sweater randomly selected from the sales rack is pink and size medium? A 3 32 B 5 32 5 17 D 5 8
Answer:
A because it looks like its that one
Step-by-step explanation:
ree
cylinder has a base diameter of 6m and a height of 12m. What is its volume in cubic m, to the nearest tenths place
Answer:
339.3m²
Step-by-step explanation:
Formula is volume= X radius² X height
First find radius, which is 1/2 of the diameter. 6/2= 3 is the radius
Then set up the equation: ()(3²)(12)
Put into calculator to get 339.3 (rounded to the tenths)
The volume of the cylinder will be 339.12 cubic meters.
What is the volume of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,
V = π r²h cubic units
The cylinder has a base diameter of 6 m and a height of 12 m. Then the radius of the cylinder is calculated as,
r = d / 2
r = 6 / 2
r = 3 m
Then the volume of the cylinder is calculated as,
V = 3.14 x 3² x 12
V = 339.12 cubic meters
More about the volume of the cylinder link is given below.
https://brainly.com/question/12763699
#SPJ3
hello people ~
factorise: x² + 9x + 20
Answer:
[tex](x+4)(x+5)[/tex]
Step-by-step explanation:
To factorize [tex]x^2+9x+20[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]a \cdot c=1 \cdot 20=20[/tex]
[tex]b=9[/tex]
Therefore, the 2 numbers that multiply together to give 20 and add together to give 9 are: 4 and 5
[tex]\implies x^2+4x+5x+20[/tex]
[tex]\implies (x^2+4x)+(5x+20)[/tex]
Factor the parentheses:
[tex]\implies x(x+4)+5(x+4)[/tex]
Factor out the common term [tex](x+4)[/tex]:
[tex]\implies (x+4)(x+5)[/tex]
[tex]\\ \rm\rightarrowtail x^2+9x+20[/tex]
Use mid term splitation[tex]\\ \rm\rightarrowtail x^2+4x+5x+20[/tex]
[tex]\\ \rm\rightarrowtail x(x+4)+5(x+4)[/tex]
[tex]\\ \rm\rightarrowtail (x+5)(x+4)[/tex]
Done!
Please help I’m l got stuck on this one
Answer:
Hope this helps... Please thank + mark me as brainlist = Follow
Answer:
32 Black grapes
Step-by-step explanation:
The ratio is 3:4 meaning that for every 3 green grapes, there are 4 black grapes
If there were 6 green grapes there would be (4/3)*6 black grapes, thus, 8 grapes
In this case, we have 24 green grapes, simply apply this ratio to find the black grapes;
(4/3)*24 = 32
Given f(x) = 9x - 10, find f(8) *
Answer:
[tex]\huge\boxed{f(8) = 62}[/tex]
Step-by-step explanation:
[tex]\sf f(x) = 9x-10\\\\Put\ x = 8\\\\f(8) = 9(8) -10\\\\f(8) = 72-10\\\\f(8) = 62\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Answer:
f(8) = 62
Step-by-step explanation:
To evaluate f(8) substitute x = 8 into f(x) , that is
f(8) = 9(8) - 10 = 72 - 10 = 62
WILL GIVE BRAINLIEST
Match the equations of the lines with their graphs
One card is drawn from a deck of 52 cards,well-shuffled .calculate the probability that the card will be diamond.
Answer:
52/4 which is 13, so 13/52 which is .25, so 25% chance
1. Square roots are the____of perfect squares. ( i really need help like now plz )
Answer:
opposite
thats the answer
Answer: Whole number (I think)
Step-by-step explanation: Sorry if I am wrong..
(Sorry I am wrong lol)
find the value of 8
[tex] {8}^{3} [/tex]
Which expression is equivalent to 6 Superscript 4 times 6 cubed? (6 times 6 times 6 times 6) (6 times 6 times 6) (6 6 6 6) times (6 6 6) (6 times 6 times 6 times 6) times (6 times 6 times 6) (6 times 6 times 6 times 6 times 6) times (6 times 6 times 6 times 6).
The expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,
[tex]6\times6\times6\times6)\times6[/tex]
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given statement for the expression is 6 Superscript 4 times 6 cubed. This expression cab be written as,
[tex]6^4\times6[/tex]
Suppose the equivalent expression of this equation is n. Thus,
[tex]n=6^4\times6[/tex]
The 4 power of number 6 means that the number 6 should be multiplied 4 times.
[tex]n=(6\times6\times6\times6)\times6[/tex]
Hence, the expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,
[tex]6\times6\times6\times6)\times6[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Answer: (6.6.6.6).6
Step-by-step explanation:
1) The cost of carpeting a floor with area 120 m² is Rs 3840. What is the cost of
carpeting the floor if its area is increased by 10² m??
Answer: 4,160
Step-by-step explanation:
Simplify this question
2/4x+4 - 2x/2
Answer:
[tex] \frac{1 - 2 {x}^{2} -2x }{ 2x + 2} [/tex]
Step-by-step explanation:
[tex] \frac{2}{4x + 4} - \frac{2x}{2} [/tex]
[tex] = \frac{2 \times 2}{(4x + 4) \times 2} - \frac{(2x) \times (4x + 4) }{2 \times (4x + 4)} [/tex]
[tex] = \frac{4}{8x + 8} - \frac{8 {x}^{2} + 8x }{8x + 8} [/tex]
[tex] = \frac{4 - (8 {x}^{2} + 8x) }{8x + 8} [/tex]
[tex] = \frac{4 - 8 {x}^{2} - 8x }{8x + 8} [/tex]
[tex] = \frac{4 \times (1 - 2 {x}^{2} -2x ) }{4 \times (2x + 2)} [/tex]
[tex] = \frac{1 - 2 {x}^{2} -2x }{ 2x + 2} [/tex]
13u = 26 is it 39, 338 , or 2
Answer:
13u = 26
13*2 = 26
2 is the answer
Answer:
Today: Monday, 12 October 2020
Hour: 09.17 WIB (in Indonesian)
_________________________
13u = 26
u = 26/13
u = 2
Need help ASAP! Tysmm
Answer:
Square
A=bh
A=6(6)
A=36m²
Triangle
A=½bh
A=4(3)(½)
A=12(½)
A=6m²
total
36-6=30m²
Help me someone please
Answer: 8 1/8 in
Hope this helps, tell me if thats wrong!
The cost to rent a bike is $28 for the first day plus $2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting the bike for 8 days?
Answer:
42
Step-by-step explanation:
The explicit formula for the rental cost is =+. The cost of renting a bike for 2 days is $42.
The equation for the rental cost for n days will be 28 + 2n.
Based on the information given, the explicit formula for the rental cost for n days will be:
= 28 + (2 × n)
= 28 + 2n
Therefore, the cost of renting the bike for 8 days will be:
= 28 + 2n
= 28 + 2(8)
= 28 + 16 = 44
Learn more about equations on:
https://brainly.com/question/2972832
What is the difference?
Answer:
29√5
Step-by-step explanation:
Find the value of c-7 when c= 20.
Answer:
13
Step-by-step explanation:
Suppose you are mixing
blue paint and yellow point
in a 2:3 ratio to make green
paint. How many pails of
blue paint would you need
If you use 30 pails of yellow
paint?
Answer:
20
Step-by-step explanation
I have no clue how to explain this.
Unit test in science if you took it. It's question 10 four students measure the length of a paperclip whose actual length is 3.2 cm. Whose measurement is precise but not accurate? IS IT A OR B I DONT KNOW A.Samuel: 2.7, 2.7, 2.7, 2.8 B. Jose: 2.2, 2.6, 3.0, 3.3 C. Nikita: 3.1, 3.1, 3.2, 3.2 D. Anne: 2.6, 3.2, 3.2, 3.6
Answer: A.Samuel: 2.7, 2.7, 2.7, 2.8
Step-by-step explanation:
Given that actual length = 3.2cm
Samuel's score is precise but inaccurate. This is because, each of Samuel's four measurements are close to each other even though it lacks accuracy, because it is a bit far from the actual value of the measurement. Hence, of the measurements given for each of Samuel, Nikita, Jose and Anne, Samuel's score exhibits precision but inaccurate. Nikita's score is both precise and accurate
There are 8/5 polka dots many are there?
Answer:
1 3/5
Step-by-step explanation:
this is a mixed number
8/5= 1 3/5