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.
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]
simplify the expression 6(x+4)+1=
Help please! this is critical i need help so bad :(
Which sequence of transformations creates a similar, but not congruent, triangle?
a. Rotation and translation
b. Reflection and rotation
c. Dilation and rotation
d. Translation and reflection
Answer:
I believe that it is A
Step-by-step explanation:
if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.
I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.
Answer:
n=31°
Step-by-step explanation:
If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.
We can see that angles 2 and 3 form a right angle, or:
[tex]m\angle 2 + m\angle 3=90^\circ[/tex]
We are also given that:
[tex]m\angle 2=2n-4[/tex]
[tex]m\angle 3=n+1[/tex]
Substituting (get rid of the units):
[tex]2n-4+n+1=90[/tex]
Joining like terms:
[tex]3n-3=90[/tex]
Adding 3:
[tex]3n=90+3=93[/tex]
Solving:
[tex]n=93/3[/tex]
n=31°
PLEASE HELP!! MATH FINAL :)) no explanation needed.
Answer:
195 or 15^2- 2(15)
Step-by-step explanation:
A box of chocolates contains 18 chocolate squares 10 of the squares are in milk chocolate five or dark chocolate and 3 are white chocolate is Christie randomly chooses a Chocolate out of the box what is the probability of her choosing a white chocolate square
Answer:
3/18
Step-by-step explanation:
3/18 or 0.17 rounded.
Given the relation y = −4x2 − 8, if the input is 2, what is the output
you are selling tickets to a school play. students tickets cost 5.00 dollars and adults tickets cost 7.00. you sell a total of 125 tickets and collect 775.00 dollars. how many of each type of ticket did you sell? PLZ HELP SHOW WORK
Answer:adult tickets - 75 and student tickets - 50
Step-by-step explanation:
75x7=525 and 50x5=250, therefore 525+250=775
hope this helps
If y is directly proportional to x. if y = 30 when x = -5, what is the value of y when x = 3?
Answer:
the correct answer is -2. I hope this helped
Each digit 8 in the number 8.888 has a different value placed on its place in the place-value chart. Each 8 is multiplied by its place value. I've made up a song to help you remember this. What is the rule that this is referring to? Write the rule below.
Answer:
The value of every digit in a decimal figure is given by its position in that figure.
Step-by-step explanation:
The Rule:
The value of every digit in a decimal figure is given by its position in that figure.
For the figure 8.888, from left to right,
The first 8 is in units
The second 8 is in tenth (this means 8/10 = 0.8)
The third 8 is in hundreth (this means 8/100 = 0.08)
The fourth 8 is in thousandth (this means 8/1000 = 0.008)
The sum of the place values of the digits after the decimal point = 0.888
when the unit 8 is added, you then get 8.888
Me after jumping in joy after I found out Netflix is facing criminal charges
lol same tbh even tho ion have netflix anymore
Simplify 5(1 + 3)^2.
Answer:
400
Step-by-step explanation:
5(1+3) to the power of 2
5×1=5 5×3=15
(5+15) to the power of 2
5+15=20
20 to the power of 2 = 400
60 points and branilest if you answer
It takes 3 ½ spoons of chocolate syrup to make 3 ⅗ gallons of chocolate milk. How many spoons of chocolate syrup would it take to make 6 gallons of chocolate milk ?
Answer: 4 gallons require 5 5/39 spoons of syrup
Step-by-step explanation:
Given it takes 3 2/6 spoons to make 2 3/5 gallons of chocolate milk
i.e. 20/6 spoons make up 13/5 gallons of milk
⇒1 gallon require 20/6/13/5 spoons of milk
⇒ 20 x 5/6 x 13 spoons of milk
⇒ 100/78 spoons of milk
Therefore 4 gallons require 4 x 100/78 spoons
⇒ 400/78 spoons
⇒ 200/39 spoons
⇒ 5 5/39 spoons
Answer:
5 5/6 spoons
Step-by-step explanation:
We can use ratios to solve
3 1/2 spoons x spoons
-------------- = ------------------
3 3/5 gallons 6 gallons
Using cross products
3 1/2 *6 = 3 3/5x
Changing to an improper fraction
7/2*6= 18/5*x
21 = 18/5x
Multiply by 5/18
21 * 5/18 = 18/5 x*5/18
21/18 *5 =x
7/6 *5 =x
35/6=x
Changing to a mixed number
5 5/6 spoons
There are many cylinders with a volume of cubic inches. The height in inches of one of these cylinders is a function of its radius in inches where . What is the height of one of these cylinders if its radius is 2 inches? What is the height of one of these cylinders if its radius is 3 inches? What is the height of one of these cylinders if its radius is 6 inches?
Answer:
1. If its radius is 2 inches, the height is 36 inches.
2. If its radius is 2 inches, the height is 16 inches.
3. If its radius is 2 inches, the height is 4 inches.
Step-by-step explanation:
Here is the complete question:
There are many cylinders with a volume of 144[tex]\pi[/tex] cubic inches. The height [tex]h(r)[/tex] in inches of one of these cylinders is a function of its radius [tex]r[/tex] in inches where [tex]h(r) =\frac{144}{r^{2} }[/tex] .
1. What is the height of one of these cylinders if its radius is 2 inches?
2. What is the height of one of these cylinders if its radius is 3 inches?
3. What is the height of one of these cylinders if its radius is 6 inches?
Step-by-step explanation:
1. To determine the height of one of the cylinders if its radius is 2 inches,
From the question,
Since height [tex]h(r)[/tex] of one of these cylinders is a function of its radius [tex]r[/tex], and
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 2 inches
[tex]h(r) =\frac{144}{2^{2} }[/tex]
[tex]h(r) =\frac{144}{4 }[/tex]
[tex]h(r) = 36 inches[/tex]
Hence, the height is 36 inches
2. To determine the height of one of the cylinders if its radius is 3 inches,
Again,
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 3 inches
[tex]h(r) =\frac{144}{3^{2} }[/tex]
[tex]h(r) =\frac{144}{9 }[/tex]
[tex]h(r) = 16 inches[/tex]
Hence, the height is 16 inches
3. To determine the height of one of the cylinders if its radius is 6 inches,
Again,
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 6 inches
[tex]h(r) =\frac{144}{6^{2} }[/tex]
[tex]h(r) =\frac{144}{36 }[/tex]
[tex]h(r) = 4 inches[/tex]
Hence, the height is 4 inches.
What is the formula for calculating slope? Explain it in full.
Answer:
Use slope formula
Step-by-step explanation:
To calculate the slope, you can use the slope formula which is the change in the height compared to the change in the width. Using ordered pairs, this is the change in the y-values divided by the change in the x-values or the rise divided by the run.
AYEEEEE i need help again because i dont know nothing
Answer:
its D
Step-by-step explanation:
"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)
Im imposter yay
Who can do number 3 for me quick plss
Answer: -14
Step-by-step explanation:
True or False
A function is a relation in which each y value has ONLY 1 x value,
True
False
Answer:
true
Step-by-step explanation:
because you look c u t 3
NEED HELP 15 points please help!!!
Write the equation of the line that contains the given point and has the given slope.
(–8, –8), slope is 3
Answer:
y - 8 = 3(x - 8)
Step-by-step explanation:
Point-Slope Form: y + y₁ = m(x + x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step 1: Define
Point (-8, -8)
Slope m = 3
Step 2: Write in point-slope form
y - 8 = 3(x - 8)
Question 14
1 pts
Which of the following equations represents a line perpendicular to y=1/4x-1?
y = -3/2x+6
y = 3/2x-2
y = -2/3x+7
y = 2/3x-3
Answer:
its the first option, y = -3/2x+6
Step-by-step explanation:
What is the solution to 8x - 3(2x - 4) = 3x - 18?
Answer:
X=30
Step-by-step explanation:
The answer is X=30
Rounded 2.317 to the nearest thousand
Answer:
2.32
Step by Step Explanation:
5 and above, Give it a shove
1 rounds to 2 because of the 7
2.317 = 2.32
A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?
Answer:120 minutes.
Step-by-step explanation:
look, 12x8x5=480, and 480/4-120
Factor completely 4p2 - 25q2 =
an example of a number that is a rational number but not whole
Answer:
2/3
Step-by-step explanation:
Someone plz help me thank you.
Answer:
there are 438 blue marbles and 162 red marbles
Step-by-step explanation:
If we were doing it out of 100 there would be 73 blue marbles and 27 red marbles add 73 to 27 and you get 100 so multiply 73 by 6 and you get 438 and then multiply 27 by 6 and you get 162 and 438 to 162 and you get 600. Therefore your answer is 438 blue marbles and 162 red marbles.
hope this helps
Kelly inherits land which had a basis to the decedent of $95,000 and a fair market value of $50,000 on August 4, 2018, the date of the decedent’s death. The executor distributes the land to Kelly on November 12, 2018, at which time the fair market value is $49,000. The fair market value on February 4, 2019, is $45,000. In filing the estate tax return, the executor elects the alternate valuation date. Kelly sells the land on June 10, 2019, for $48,000. What is herrecognized gain or loss? ($1,000) ($2,000) ($47,000) $1,000 None of the above
Answer:
The correct option is;
Her recognized loss is ($1,000)
Step-by-step explanation:
The given information are;
The basis of the land to the decedent = $95,000
The land's market value on 4th of August 2018 when the decedent died = $50,000
The alternate valuation date = 6 months + The date of death of the decedent = 4th February, 2019
The value filed by the executor on the tax return using the alternate valuation date = The market value of the estate on 4th of February 2019
The market value of the land on 4th of February 2019 = $45,000
∴ The value filed by the executor on the tax return using the alternate valuation date = $45,000
The value of the land on November 12, 2018 when the executor distributed the land to Kelly = $49,000
The value at which Kelly sells the land on June 10, 2019 = $48,000
Given that, recognized gain is the profit made from selling an asset based on the value of the asset when it was obtained, we have;
Kelly's recognized gain or loss = (The value at which Kelly sells the land) - (The value of the land when the executor distributed the land to Kelly)
Kelly's recognized gain or loss = $48,000 - $49,000 = -$1,000 = ($1,000)
Therefore, Kelly's recognized loss = ($1,000).
There are 3 batteries that go in a laser pointer if you had 100 lasers and took away the batteries of 5 lasers how much batteries do you have?
Answer:
285
Step-by-step explanation:
300-15=285
Answer:
285
Step-by-step explanation:
3 x 100 = 300
3 x 5 = 15
300 - 15 = 285
Hope This Helps!
An apple juice company produced 8.3 billion individual-size bottles of apple juice last year. If each bottle contains 355 milliliters of juice, how many milliliters of apple juice did the company produce?
Answer:
two trillion nine hundred forty-six billion five hundred million
The company produced 2946.5 billion milliliters.
What is multiplication?Multiplication is a mathematical arithmetic operation.
The process of adding the same number many times is repeated addition.
Multiplication is a repeated addition.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Last year,
a company that makes apple juice produced 8.3 billion bottles of apple juice.
And 355 milliliters of juice occupied by each bottle.
then the company produced,
= 355 x 8.3 billion milliliters,
= 2946.5 billion milliliters.
Therefore, 2946.5 billion milliliters.
To learn more about multiplication;
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