Tessa wants to install a zipline between two trees. The zipline will be strung between the trees at points 42 feet and 3 feet high. Suppose the trees are 60 feet apart. What is the length of the zipline to the nearest tenth of a foot
The length of the zipline is found using Pythagoras's theorem, which gives
the length of the hypotenuse side of a right triangle.
Length of the zipline is approximately 71.56 feetReasons:
Height at which the zipline will be tied to one of the trees = 42 feet
Height at which the zipline will be tied to the other tree = 3 feet
The distance between the trees = 60 feet
Required:
The length of the zipline
Solution:
The length of the zipline is found as follows;
Taking one of the trees to be at the origin, the coordinates of one of the tying point = (0, 42)
The coordinates of the other tying point = (60, 3)
The in the imagined right triangle formed by the zipline and the distance
between the trees, the length of the zipline is given by Pythagoras theorem
as follows;
Length of zipline = [tex]\sqrt{(60 - 0)^2 + (3 - 42)^2} = 3 \cdot \sqrt{569}[/tex] ≈ 71.56
Length of the zipline ≈ 71.56 ft.
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find difference
54.59- 26.61
A. 81.20
B. 38.98
C. 32.18
D. 27. 98
Answer:
D
Step-by-step explanation:
Answer:
D) 27.98
Step-by-step explanation:
All you have to do is subtract, have a nice day <3
In the given figure what is the measure of arc BC
Answer:
48°Step-by-step explanation:
Both angles A and D intercept same arc BC, hence congruent:
7x - 4 = 2x + 167x - 2x = 16 + 45x = 20x = 4Arc measure is twice the measure of inscribed angle:
mBC = 2(7*4 - 4) = 48factor completely. show full work
Answer:
here's the answer mark me brainliest!!
Answer:
Step-by-step explanation:
2p² + 8pq - pq - 4q² = 2p(p + 4q) - q( p + 4q)
= (p + 4q)(2p - q)
Given 3 + 7 + 11 + 15 + ... find S20
How do I solve 3 - 4.5 =
Answer:
-1.5
Step-by-step explanation:
3.0 - 4.5 is the same as 3.0 + (-4.5)
in this instance you subtract 3.0 from 4.5 and keep the sign of the larger number, which is 4.5 (you disregard the negative sign)
Find the area of the shape below
Answer:
Total Area = 235cm^2
Step-by-step explanation:
Step 1 ) we have our lengths 11 and 20 so we need to separate the into 2 shapes Step 2) Label and draw new shape 20-11 = 9 to show (Shape square 1) = measuring 9 *9 and another (Shape Rectangle 2) = 11* 14 Step 3) Show how you do the multiplication of Square shape 9* 9 = 81cm^2 and Area Rectangle 11 * 14 = 154 cm^2 Total Area = 81+154 = 235cm^2 You can if you like in table multiplication show 11*14 by adding a zero underneath the 14 = 140 +14 = 154 then add and show +81 = 235cm^2 It is always easier to retain a shape if subtracting to get a 2nd shape this way it saves time with subtraction and in my example only needed to subtract 20-11 = 9 then 9*9 = 81cm^2 to retain the 14 *11 = 154cm^2 area for the rectangle
Answer:
Step-by-step explanation
full rectangle area (see figure) - small rectangle area
14 * 20 - [(14 - 9) *(20 - 11)] =
280 - (5 * 9) =
280 - 45 =
235 cm²
1 Probably: a) between $20,000 and $40,000
Answer:
there is not enough info to answer the question
Step-by-step explanation:
can you repost it?
2 pts
Sammy wants to buy a new stereo priced at $439. He enters into an agreement to pay
$22 a month for 24 months. How much will the finance charge be for this purchase?
State your answer in terms of dollars rounded to the nearest cent (hundredth).
Answer:
$308
Step-by-step explanation:
I am not sure if this is correct. But try it and let me know if it was
What does 6523 ÷ 65 equal?
Answer:
~100.35385
Step-by-step explanation:
You just gotta take the time to do the long division. Alternate forms could be 100 23/65
pls solve this thanks
write the decimalas a percent 4.68
Answer:
468% is the percent of 4.68
Step-by-step explanation:
4.68 x 100 = 468
A large serving of soup from a take-out restaurant is 4/5 liter. The restaurant has 3 liters of soup. The diagram models the number of servings of soup.
How many servings of soup does the restaurant have?
Answer:
The answer is 2 and 2/5 i hope this can help.
Step-by-step explanation:
Describe a way to obtain the same image without using rotations. (Can’t use stuff like 180°)
Answer:
Step-by-step explanation:
Reflection over x-axis then reflection over y-axis
Evaluate the expression for x = 8
x + 5
5
8
3
13
Answer:
1st one
Step-by-step explanation:
:) pls mark brainliest
shen works mowing lawns and babysitting. he earns $9.40 an hour for mowing and $7.80 an hour for babysitting. how much will he earn for 4 hours of mowing and 6 for babysitting?
Answer:
$84.40
Step-by-step explanation:
mowing: $9.40/hour
babysitting: $7.80/hour
4 hours mowing + 6 hours babysitting =
= 4 × $9.40 + 6 × $7.80
= $37.6 + $46.8
= $84.40
Answer:
$84.40
Step-by-step explanation:
$9.40 · 4 + $7.80 · 6 = ?
9.4 · 4 = 37.60
7.8 · 6 = 46.80
37.60 + 46.80 = $84.4
I hope this helps!!
Please help asap I’ll give you 20 points
Answer:
first one is left second one is right
Answer:
What is that on?
it is blury
Vinnie is searching online for airline tickets. Two weeks ago, the cost to fly from Hartford to Denver was $220. Now the cost is $305. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer: 58
Step-by-step explanation:
Answer:
Question 1. 38.6 % 2. 61.4%
Step-by-step explanation:
(New Cost - Old Cost) ÷ old Cost × 100
(305 - 220) ÷ 220 x 100
= 85/220 x 100
= 38.6 %
2. New Cost 305 + 50 = $355
(Now new cost - old cost) ÷ old cost × 100
(355 - 220) ÷ 220 × 100
= 135/220 × 100
61.4%
What is the probability of
spinning a yellow?
Answer:
is 2/8
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
Donovan bought 5 1/2 kilograms of flour for $8.25. How much does it cost to buy 1 kilogram of flour?
Answer: Donovan paid less than $1.25 per kilogram of flour
Donovan paid less than $1.25 per kilogram of flour.
what is the slope of the line passing through the points (2,5) and (0,-4)?
Answer:
9/2
Step-by-step explanation:
there are a total of 45 bikes. if the ratio of blue bikes to black bikes is 4 to 5, how many of the bikes are blue?
Answer:
20
Step-by-step explanation:
4 + 5 = 9
45 / 9 = 5
4 * 5 = 20
hope this helps
Round 16.4829 to the nearest hundredth
Answer:
16.48
Step-by-step explanation:
The round off of 16.4829 to the nearest hundredth is 16.48.
What is Rounding off?Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. The supplied number is said to be rounded up when the rounded number is increased, and it is said to be rounded down when the rounded number is dropped.
Given:
16.4829
You rounded to the nearest hundredths place.
The 8 in the hundredths place rounds down to 8, or stays the same,
because the digit to the right in the thousandths place is 2.
and, When the digit to the right is less than 5 we round toward 0.
So, 16.4829 was rounded down toward zero to 16.48.
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For question 1 please look at the image below
Answer:
Step-by-step explanation:
a) Number of families having income between $ 20000 - $ 40000 = 100
b) Number of families having income less than $40000 = 100 + 40 = 140
Any hot topic online promo codes???
Which ratio is equivalent to 5:9? with a twist ( only those options)
Divide the option with 4 so that you can get the equivalent ratio to 5:9 .
Salina wants to buy a dress that sells for $55.00. If the sales tax is 8%, exactly how much will the dress costs?
Answer:
$44
Step-by-step explanation:
it's math
Answer:
$59.4
Step-by-step explanation:
Turn the percentage into a decimal.
8% = 0.08
Multiply.
55 * 0.08 = 4.4
Add.
59.4
Best of Luck!
guys help me with this question
Blank 1: 7
Blank 2: 3
Blank 3: 2
Blank 4: 2
I really need help on this problem
Answer:
64??
Step-by-step explanation:
If not I'm sorry I tried :)
write and equation on the line that passed through (0,-1) and is perpendicular to the line y =1/9x+2
Answer:
y=-9x-1
Step-by-step explanation:
since it is perpendicular, the slope must be the opposite reciprocal (-9x) and now we plug the coordinates in, -1=0+b, b is -1
Answer:
y=-9x-1
Step-by-step explanation:
