Answer:
Step-by-step explanation:
d = 277/tan12 = 1,303.1825... m = 1.3 km
The nearest tenth of a foot, the distance from the town to the base of the cliff is approximately 1337.3 feet.
The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
The angle of depression is 12 degrees, and the side opposite the angle is the height of the cliff (277 feet), while the side adjacent to the angle is the distance from the town to the base of the cliff (which we want to find).
Let's denote the distance from the town to the base of the cliff as "d."
The tangent of the angle of depression is given by:
tan(12°) = opposite / adjacent
tan(12°) = 277 / d
Now, solve for "d":
d = 277 / tan(12°)
Using a calculator:
d ≈ 1337.25 feet
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148 oz = ________ lb _______ oz
Explain yourself
Compute the integral Z Z Z U y dV , where U is the part of the ball of radius 2, centered at (0, 0, 0), that lies in the 1st octant. Recall that the first octant is the part of the 3d space where all three coordinates x, y, z are nonnegative. (Hint: You may use cylindrical or spherical coordinates for this computation, but note that the computation with cylindrical coordinates will involve a trigonometric substitution - so spherical cooridnates should be preferable.)
As the hint suggests, convert to spherical coordinates using
x = p cos(u) sin(v)
y = p sin(u) sin(v)
z = p cos(v)
dV = dx dy dz = p² sin(v) dp du dv
Then U is the set
[tex]U = \left\{ (p,u,v) \mid 0\le p\le2 \text{ and } 0\le u\le \dfrac{\pi}2 \text{ and } 0\le v\le\dfrac{\pi}2\right\}[/tex]
and the integral of y over U is
[tex]\displaystyle \iiint_U y \, dV = \iiint_U p\sin(u)\sin(v) \cdot p^2 \sin(v) \, dV[/tex]
[tex]\displaystyle \iiint_U y \, dV = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \int_0^2 p^3 \sin(u) \sin^2(v) \, dp \, du \, dv [/tex]
[tex] \displaystyle \iiint_U y \, dV = \frac{2^4-0^4}4 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \sin(u) \sin^2(v) \, du \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \left(-\cos\left(\frac\pi2\right) + \cos(0)\right) \int_0^{\frac\pi2} \sin^2(v) \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \frac12 \int_0^{\frac\pi2} (1-\cos(2v)) \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 2 \left(\left(\frac\pi2 - \frac12 \sin\left(2\cdot\frac\pi2\right)\right) - \left(0 - \frac12 \sin\left(2\cdot0\right)\right) \right)[/tex]
[tex]\displaystyle \iiint_U y \, dV = \pi - \sin(\pi) = \boxed{\pi}[/tex]
Please helpppp me step my step all the wayyy Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $75 and was discounted 15% Daniels suitcase originally cost 85$ and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ?
Answer: Carla's suitcase was a better purchase.
Step-by-step explanation: Solution:
Cost Price of Carla's suitcase = $75
Discount% for Carla = 19%
The amount paid by Carla is,
So, the amount paid by Carla was, $60.75.
Cost Price of Jeana's suitcase = $85
Discount% for Jeana = 20%
The amount paid by Jeana is,
So, the amount paid by Jeana was, $68.
Carla's suitcase was a better purchase.
Find all solutions to below and explain why it must be constant coefficient.
The solution to the differential equation will be expressed as [tex]y_c=Ce^{2x}[/tex]
Given the differential equation;
[tex]\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0[/tex]
Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation
Let [tex]D=\frac{dy}{dx}[/tex]
The differential equation becomes;
[tex]D^2y-2Dy=0\\(D^2-2D)y=0[/tex]
Factorizing the auxiliary equation m² - 2m = 0
m² = 2m
m = 2
Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as [tex]y_c=C_1e^{m_1x} + C_1e^{m_2x} \\[/tex]
Given that m =2, the solution will be expressed as [tex]y_c=Ce^{2x}[/tex]
b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.
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what are the solutions to the equation (x-2)(x-4)=8?
Answer:
=
6
=
0
Step-by-step explanation:
The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation (x - 2)(x - 4) = 8.
∴ x² - 4x - 2x + 8 = 8.
x² - 6x = 0.
x(x - 6) = 0.
So, x = 0 Or x - 6 = 0 ⇒ x = 6.
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the smallest 3 digits even number formed form 5,6,3 is
Answer:
3,5,6
Step-by-step explanation:
because 300 divided by 2 is 150
50 divided by 2 is 25
and 6 divided by 2 is 3
can someone give me the answer to this please!
Answer:
f hnjkhufqeyuwegbwegnasdgjbbhdfu8isbhwsduihjjrwhiwerhugwhj4g4wyug4huwreuywefgkofjfu9qhfu8mfnfnjrfnfjqwejknuiaefhbuqwiefjjjhjjjj
Step-by-step explanation:
fgjnwehgbwhgbge
Help my questions in the pic fast
Answer:
K=2
Step-by-step explanation:
Given y=(1/2)^x
y=2^-x
Hope this helps :)
The following table shows Lane and Rory's scores on the first 5 math quizzes this semester. How many points higher is Rory's average than Lane's average?
Answer:
0
Step-by-step explanation:
Because Rory's higher average and Lane's higher average is 96 in Quiz 3.
96-96=0
HEEEEELP!!!!! what are 5 expressions that are equivelent to 8x+16
Answer:
8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)
Step-by-step explanation:
Use proportional reasoning to solve problems involving ratios. (Activity Sheet #4 & 5)
The size of a television is the length of the diagonal of its screen in inches. The
aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of
newer wide-screen televisions is 16:9. Find the width and height of an older 20-
inch television whose screen has an aspect ratio of 4:3. Show all work to receive
credit.
Answer:
Step-by-step explanation:
(3x)² + (4x)² = 20²
9x² + 16x² = 400
25x² = 400
x² = 16
x = 4
height = 3(4) = 12 inches
width = 4(4) = 16 inches
Joe cuts ten pizzas into quarters. How many pizza quarters are there in total?
Answer:
40 pizzas in total
Step-by-step explanation:
10×4=40
Gul can run 800 meters in 139 seconds.About how long would it take her to run 6 times far if she runs at the same speed? Choose the best estimate.
Answer:
834 seconds or 13 minutes and 54 seconds
Step-by-step explanation:
139 x 6 = 834
7.
Identify the vertex of the parabola.
A. (1, 2)
B. (−2, −1)
C. (−1, −2)
D. (−3, 2)
Answer: I can't find the answer :(
B. (−2, −1)
Step-by-step explanation: I don't know :(
From when I am looking at the graph it looks like the answer would be
P= (-2, -1)
Q= (1, -2)
Which equation shows y=3x−15 in standard form?
5x−15y=−1
5x−15y=1
15x+5y=−1
15x−5y=1
Answer:
c 5x -15y =1
5x-15y=1
-5x -15y= 1 -5x change the signs on both sides of the equation
15y = -1 +5x divide both sides by 15
y = -1/15 + 1/3 x Reorder the terms
y = 3x-15
Step-by-step explanation:
Hope this helps:)
Need help quickly
(Finding angle measures using triangles)
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Christa sells bracelets during the summer months to earn some extra money. She
made this pictograph to represent her sales for last summer.
Bracelets Sold
June
July
August
=4 bracelets
How many bracelets did Christa sell in June and July?
8
32
12
40
Answer:
32 bracelets
Step-by-step explanation:
First multiply each bracelet by 4 to get the correct amount:
3x4=12
4x5=20
Then, add the two.
12+20=32
You're looking over your child's math homework. The directions say to
simplify the expression below. What feedback would you give your child?
Make sure to include if their answer is correct or not (1 pt) and a
description of why (1 pt). *
6x + 5x + 2y
= 11x + 2y
= 13xy
=
Your answer
Hello, hope you are having a nice day.
This answer is not correct, because we can't add different variables. For instance, if we have 11x+2y, we can't add x's and y's together.
Therefore, the correct answer would be
11x+2y
Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others with joy
[tex]MagicalNature[/tex]
Good luck.
Answer:
Step-by-step explanation:
The first step is the answer, so you would have gotten 100% if you just left the question there. The next step, the second step, is quite right.
If it was, then why didn't you do that in the first step?
Think of all the possibilities
60xy
10xy
12xy
10xy + 5y
12xy + 5x
There must be many more.
And yet dear one, you have only made 1 mistake. You combined xs and ys in step 2. Here's the rule.
Don't. If they were added, let them stay added. xs go with other xs. ys go with other ys. They never go together when they are added.
Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days’ worth of seed Gracy has left?
Answer:
The last one is correct.
Step-by-step explanation:
[] Rewrite 4/5 as 8/10
[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days
Have a nice day! - This is only correct if your models look like the ones I have attached
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Select whether the equation has a solution or not.
√5-7
no roots
O roots
[tex] \sqrt{x} = 7[/tex]
[tex]x = {7}^{2} [/tex]
[tex]x = 49[/tex]
Root.
Multiply (3x+2)(x-6)
What is the middle term of the simplified answer?
Answer:
16x
Step-by-step explanation:
(3x + 2) (x - 6)
Multiply 3x by x and -6
3x^2 - 18x
Multiply 2 by x and -6
2x - 12
Combine like terms
3x^2 - 16x - 12
The middle term is 16x
Samantha has 7/3 cups of ice cream to make milk shake.Each shake uses 1/8 cup of ice cream. How many milk shakes can she make?
express 7 minutes, 30 seconds as a percentage of 1 hour
Answer:
did u mean 7 minutes & 30 seconds or
do you need seperate percentage for each ???
Answer:
420 i think
Step-by-step explanation:
7 mins
7×60
=420
plus the 30sec
450 sec
450/3600×100
45000/3600
450/36
12.5
The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Let's say the first integer is x.
Then, next terms will be x + 1, x + 2, x + 3, x + 4.
It is known that,
Mean = sum of data / Number of data
(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = 2021
(5x + 10)/5 = 2021
x + 2 = 2021
x = 2019
Now, first, three consecutive integers will be,
2019,2020 and 2021
The mean of the above integers will be,
(2019 + 2020 + 2021)/3 = 2020
Hence "The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020".
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Solve for x.
100°
(2x+3)
51°
Answer:
23
Step-by-step explanation:
Exterior angle property: Exterior angle equals sum of opposite interior angles
51 + 2x +3 = 100
2x + 54 = 100
2x = 100 - 54
2x = 46
x = 46/2
x = 23
evaluate the expression 5+3
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
5 + 3 = 8
-Lexi
ANSWERS
An automotive insurance company has 25,000 policyholders. The accident rate is 0.07.
The number of accidents the company will have to pay out for is
1,750
. If the payout for each claim (after deductibles) is $8,000, the company’s total payouts will amount to $
14,000,000
. If the company wants to keep a profit margin of 8%, the premium it must charge is $
604.8
. The company can set aside a maximum amount of $
1,120,000
for this year’s investments.
Answer:
D. 604.8
Step-by-step explanation:
Answer: these are correct
1,750
14,000,000
1,120,000
604.8
Function or not functional pls help
Answer:
It is a function.
Step-by-step explanation:
Each input goes to exactly one output. Therefore, this is a function.
Which repression is equivalent to:
(Picture)
Answer:
sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would
Please Answer This, with A, B, C, or D. and explain why it is so i can try and understand it. :D
Answer:
b
Step-by-step explanation:
first u have to put the like terms together which are 7p and 19p when u move the 19p th 7p it turns to minus su have to minus 7p-19p which equals to -12 check if there is more like terms there arent so u have to keep the rest the sameAnswer:
B. (5q - 12) / 12
Step-by-step explanation:
7p + 5q = 19p + 12
So, we are looking for p, let's move all the p on the left, and the rest on the right
7p + 5q = 19p + 12
7p - 19p = 12 - 5q
-12p = 12 - 5q
Now to get single p we need to divide both sides by -12
-12p = 12 - 5q
p = [tex]\frac{12 - 5q}{-12}[/tex]
We don't have answer like this, so we have to get rid of the minus from this equation. To do so, we have to multiply the fraction's top and bottom by (-1)
[tex]\frac{12 - 5q}{-12} * \frac{-1}{-1} = \frac{- 12 + 5q}{12}[/tex]
all right, we almost got it, now let's change the order in top of the fraction:
p = [tex]\frac{- 12 + 5q}{12}[/tex]
p = [tex]\frac{5q - 12}{12}[/tex]
And it's done