A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is tied to a branch that hangs over the water. The length of the rope the woman is holding is 7.3 m long. The woman hopes to land in the water at a point that is 13.7 m away from where she stands on the large rock. The angle between the point where the rope is tied and her landing spot in the water is 89°. What is the distance between the the point where the rope is tied and the point where she wants to land to the nearest tenth of a metre.
Answers
Answer:
6.4 m
Step-by-step explanation:
The image attached is a representation of the question. to the river hence the distance between the place where she landed and the rock where she was standing must be horizontal. We are now required to find the shortest vertical distance between the point where the rope was tied and the place where she wants to land.
Note that the woman used the rope to move down in
Applying the cosine rule;
[tex]c^{2} = a^{2} + b^{2} -2ab Cos C[/tex]
[tex]c^{2} = 13.7^{2} + 7.3^{2} - 2(13.7 *7.3) Cos 89o[/tex]
[tex]c^{2} = 6.4 m[/tex]
Related Questions
Casey bought 3/8 pound of plums and 5/12 pound of bananas. How many pounds of fruit did he buy?
Answers
Answer:
19/24 pounds
Step-by-step explanation:
To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).
[tex] \frac{3}{8} + \frac{5}{12} [/tex]
[tex] \frac{3 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} [/tex]
[tex] \frac{9}{24} + \frac{10}{24} [/tex]
[tex] \frac{19}{24} [/tex]
)) Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table shown. Should Stefan rent a
phone accessory store? Explain.
Estimated Income and Expenses
Type Amount Frequency
Sales
$950 Each week
Services
$2,875 Each month
Rent
-54,500 Each month
Travel
-$7.50 Each day
Merchandise -$1,650 Each month
Answers
Answer:
Stefan should rent a phone accessory store
Step-by-step explanation:
The given information are;
The total of the estimated income and expenses are given as follows;
Sales
Type [tex]{}[/tex] Amount [tex]{}[/tex] Frequency
Sales [tex]{}[/tex] $ 950 [tex]{}[/tex] Each week
Services [tex]{}[/tex] $2,875 [tex]{}[/tex] Each month
Rent [tex]{}[/tex] -$4,500 [tex]{}[/tex] Each month
Travel [tex]{}[/tex] -$7.50 [tex]{}[/tex] Each day
Merchandise [tex]{}[/tex] -$1,650 [tex]{}[/tex] Each month
Therefore;
Total sale = 4×950 = $3,800
Total services = $2,875
Total income = $3,800 + $2,875 = $6,675
Total expenses = $4,500 + $7.50×30 + $1,650 = $6,375
Total profit = Total income - Total expenses = $6,675 - $6,375 = $300
Therefore, the net profit = $300.
Therefore, given that Stefan is able to make a net profit from his investment, he should rent a phone accessory store.
Which expression is equivalent to-80? O-45 O-4/5 O 45 O 45
Answers
-4v5i
Step-by-step explanation:
Solve for m: 2m + 5-3m = 7
Answers
Answer:
m=-2
Step-by-step explanation:
Answer: m = -2
Step-by-step explanation:
Simplify 2m + 5 - 3m to -m+ 5
-m + 5 = 7
Regroup terms.
5 - m = 7
Subtract 5 from both sides.
-m = 7 - 5
Simplify 7 - 5 to 2
-m = 2
Multiply both sides by -1
m = -2
el 30% del 40% de 60 es/ 30% of 40% of 60 is
Answers
Step-by-step explanation:
uiuhhhghjsjsisbsidgurdbridbr d
expand 3(z+3) please help me solve this
Answers
Answer:
3(z+3) = 3z + 9 if thats what your asking
Step-by-step explanation:
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.
Which equations could you use to find the price of one tire patch? Select all that apply.
Answers
Answer:The answers are
4x + 1.9 = 22.2
22.2 - 4x = 1.9
Answer:
C. 4x + 1.9 = 22.2 and E. 22.2 – 4x = 1.9
Step-by-step explanation:
Which is 65% of 35?
CLEAR SUBMIT
17.5
22.75
30
53.85
Answers
[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]
[tex] = 65\% \times 35[/tex]
[tex] = \frac{65}{100} \times 35[/tex]
[tex] = \frac{65 \times 35}{100} [/tex]
[tex] = \frac{2275}{100} [/tex]
[tex] = 22.75[/tex]
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#ILoveMath
-3/4x≤12
what are the steps to solve this??
Answers
Answer:
x≥-16
Step-by-step explanation:
-3/4x≤12
Multiply each side by -4/3, remembering to flip the inequality
-4/3 *-3/4x≥ -4/3 *12
x≥-16
Answer: x ≥ -16
Step-by-step explanation:
Divide both sides by -3/4 to get x alone.
When you divide or multiply both sides by a NEGATIVE, the inequality FLIPS.
-3/4x ≤ 12
Divide both sides by -3/4:
x ≥ -16
Hope this helps!
On Monday, you run treadmill for 1/2 hour at x miles per hour. On Tuesday, you walk the same distance on the treadmill, at 2 mph slower, and it takes you 3/4 hour.
How many miles did you run on the treadmill on Monday?
Answers
Distance = rate * time
Let r = rate
Distance is the same for both runs, so:
.5r = D = 3/4(r - 2)
Distribute (and convert .5):
2/4r = 3/4r - 3/2
Subtract 3/4 r from both sides:
-1/4r = -3/2
Multiply both sides by -4 to get a solitary r:
r = -3 * -4 / 2
r = 3 * 2
r = 6 miles per hour
.5 hours * 6 mi/hr = 3 miles
check:
6 - 2 = 4
3/4 hours * 4 mi/hr = 3 miles
Which one?
A or B?
Answers
Multiplying an even number of negative terms makes the product positive -4x-6 will be 4x6 so we multiply all of them to get the answer.
3x6x4x6= 432
Find the angle BCD.PLZ!!!!!!!
Answers
Answer:
19
Step-by-step explanation:
Firstly find BCE then divide by 2.
A line includes the points (6, 2) and (8, 6). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x −
Answers
Answer:
y=2x-10
Step-by-step explanation:
Hope this helps (:
Avas heart rate is 65 beats per minute. If avas heart beat 748,800 times, how many full days would have elapsed
Answers
Answer:
520 full days.
Step-by-step explanation:
Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.
I hope this helps:)
-9+n/4 = -11 The slash represents a fraction so (n over four.) Please help thank you!! :)
Answers
Answer:
n=-8
Step-by-step explanation:
-9+n/4=-11
n/4=-2
n=-8
Step-by-step explanation:
n/4= -11+9
n/4= -2
n= -2× 4
n= -8
two plus two plus four??
Answers
Answer:
8 lol
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Add from left to right 2+2=4 and then add 4+4 and you get 8
Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:
After 15 years?
(round to the hundredths place
Answers
Answer:
608.33
Step-by-step explanation:
Can someone help me out on this?
Answers
Answer:
<NMP and <QPR
Step-by-step explanation:
Look up corresponding angle examples. these angles are corresponding.
What is the property demonstrated by the equation (2a)^4 = 16a^4
(^4 indicates an exponent (which is 4))
Answers
Answer:
Ues the site called quetext is helps
Step-by-step explanation:
Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.
What is Distributive property?Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
If an exponent acts on single term in parentheses, we can distribute the exponent over the term.
(2a)^4
=2^4.a^4
The value of 2^4 is 16, because 2^4=2*2*2*2=16.
=16a^4.
Therefore by distributive property of exponents (2a)^4 = 16a^4.
To learn more on distributive property click:
https://brainly.com/question/5637942.
#SPJ2
I need help with this geometry
Answers
Answer:
90 degrees
step by step explanation:
LKM moves half way on the blender which is 90 degrees.
Simplify 0.05x + 1.02x.
1.07x
1.7
0.17x
Answers
Answer:
1.07x
Step-by-step explanation:
Since they both have a x, you can simply add .05 + 1.02 to get 1.07x.
Answer:
It is 1.07x (✿◠‿◠)
what is the slope of a line that passes through 5,15 and 6,11?
Answers
Answer:
slope is -4, equation is y= -4x + 35
Step-by-step explanation:
11-15
______
6-5
-4
____
1
11 = -4(6) + b
b = 35
please answer the questions circled aka: Lillie’s grandmother is making potato salad for a family reunion. She uses three potatoes for each person attending the dinner. If she expects 24 people to attend the reunion, which proportion can be used to solve for p, the number of potatoes? * AWNSER CHOICES ARE ON THE PICTURE and number 2: A 5 lb. package of chicken costs $6.00. What is the cost per pound? *
Answers
Answer:
c
Step-by-step explanation:
the second question 65cent
Which point represents the unit rate?
Answers
Answer:
Point C
Step-by-step explanation:
Unit rate is always how much it is for 1 and point C has a 1 in it's coordinate pair. It isn't point B because point B is not graphed on the line.
Answer:
C.
Step-by-step explanation:
Kayla began a science experiment with 18 grams of an unknown solid. During the experiment, the change in the mass of the solid was – 7 grams. What was the mass of the solid at the end of the experiment? To solve the problem, Edna subtracted 18–( – 7) and came up with an answer of 25 grams. Is Edna correct? Why or why not?
Answers
Answer:
No. Enda should have added 18+ (-7) because she needed to add the initial mass and the change in mass.
Step-by-step explanation:
Solve the system of equations -2x+3y=3 x-2y=2
Answers
Answer:
(-12, -7)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
which of the following are the coordinates of point A’, the image of point A, after a rotation of 90° about the origin?
Answers
Answer: I think it is (-4,0)
Step-by-step explanation:
Because the image shows it directly on the y axis so 90 degrees from that puts it on the x axis and it would have to be in the negative for the way it was reflected. So, the only reasonable answer is (-4,0).
Answer:
B) A rotation of 270° about the origin.
B) (-4, 0)
D) (-2, -5)
C) X' (-2, -6) and Y' (3, -1)
C) 280°
C) 8
B) A rotation of 180° about the origin.
B) Where Q is the center, the image of Q is itself, and for any other point V, QV' = QV and m∠VQV' = x°.
D) X' (6, -2) and Y' (1, 3)
C) (0, -30)
Brainliest plsssssss
DO NOT ANSWER IF YOU DO NOT KNOW, Will give brainliest, like, comment, and 5 points to answer
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13
Answers
Step-by-step explanation:
5:1 and 15:3 is equivalent because 5 ⋅ 3 = 15, and 1 ⋅ 3 = 3.
10.2 ⋅ 2.5 = 2.5.5 (This wasn't put into a ratio form.)
198:1,287 and 2:13 are equivalent because 198/99 = 2, and 1,287/99 = 13.
Anne works for a company that manufactures liquid dyes for clothing. She currently wants to mix up some 30%-concentrated red dye. She has 66 gallons of 21%-concentrated red dye, as well as plenty of 51%-concentrated red dye. How many gallons of the 51%-concentrated red dye will Anne need to add to the 21%-concentrated red dye to make a batch with a concentration of 30%?
Answers
Answer:
28.29 gallons
Step-by-step explanation:
Given that the available amount of 21%-concentrated red dye= 66 gallons.
Let x gallons of 51%-concentrated red dyes to be mixed with 56 gallons of 21%-concentrated red dye to get 30%-concentrated red dyes.
Total amount of the resulting mixture = 66 + x gallons.
Amount of red dyes in the mixture = (21% of 66) + (51% of x)
To get the resulting mixture as 30%-concentrated red dyes, we have
30% of (66+x) = (21% of 66) + (51% of x)
[tex]\Rightarrow 30(66+x)=21\times66+51x\\ \Rightarrow 30\times 66 +30x= 21\times66+51x\\\Rightarrow 51x-30x=66(30-21)\\\Rightarrow 21x=66\times 9\\\Rightarrow x = 28.29[/tex]
Hence, the amount of 51%-concentration red dyes to be mixed = 28.29 gallons.
While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?
Answers
Answer:
157.6m
Step-by-step explanation:
Given
Horizontal distance = 181m
Length of the rope =240m
To know how high above Kayla was, we will use the Pythagoras theorem.
According to the theorem;
d² = x²+y²
x is the horizontal distance
y is the vertical distance
d is the length of the rope
Substitute
240² = 181²+y²
y² = 240²-181²
y² = 24839
y = √24839
y = 157.6m
Hence the boat is 157.6m above Kayla