Answer:
DL/dt = 17 mph
Step-by-step explanation:
The ships and the port shape a right triangle
Ship going west ( x-direction) is traveling at 15 mph
Ship going north (y-direction) is traveling at 10 mph
The distance L between ships is:
L² = x² + y²
Tacking derivatives on both sides of the equation with respect to time
we get
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt (1)
In that equation we know:
Dx/dt = 15 mph
Dy/dt = 10 mph
At the moment ship traveling from the east is at 3 miles from the port
then x = 3 m and the other ship is at 4 miles north
then by Pythagoras theorem
L = √ 3² + 4² L = 5
By substitution in equation 1
2*5*DL/dt = 2*3*15 + 2*4*10
10* DL/dt = 90 + 80
DL/dt = 170 / 10
DL/dt = 17 mph
The diagram below shows a cone and a cylinder that have congruent bases and congruent heights.
2.5 in
2.5 in
4 in.
Which statement, where h represents the height of the cone and the height of the cylinder, is true?
its x of course :)))
Se mezclan alcohol 54% con alcohol de 90 y agua en la proporcion de 6,6 y "n" .hallar "n" sabien que mezclam es del mismo grado de uno de los ingrediente
Solve the following equation for x.
m(7-x) = 5-y
Need help ASAP!!! Will mark brainliest if correct!!
MARK BRAINLIEST ! HELP ME PLEASE !!
Answer:
Y=9
Step-by-step
4y-7=2y+11
2y=18
Y=9
Solve the equation x^{2}-15x+52=0x
2
−15x+52=0 to the nearest tenth.
9514 1404 393
Answer:
x = {5.4, 9.6}
Step-by-step explanation:
Adding and subtracting the square of half the x-coefficient can help you complete the square.
(x^2 -15x +7.5^2) +52 -7.5^2 = 0
(x -7.5)^2 = 4.25 . . . . . . add the opposite of the constant; write as a square
x = 7.5 ±√4.25 . . . . . . . square root, add 7.5
x ∈ {5.4, 9.6}
The ratio of soccer players to baseball players on two school teams is 4 to 7. Which of the following could be the number of players on each team?
Select one:
16 soccer players and 49 baseball players
16 soccer players and 19 baseball players
12 soccer players and 15 baseball players
12 soccer players and 21 baseball players
Answer:
12 soccer players and 21 baseball players
Step-by-step explanation:
Multiply each ratio by the same number
4x3=12 7x3=21
5. How many calories in a 2,500-calorie diet represent veggies in the circle graph? PLEASE HELP DUE VERY SOON
Answer:
875 calories
Step-by-step explanation:
100%=2500calories
35% represents veggies
35*2500=87500÷100=875
875calories
How does the stimulus check impact society please help me please i really need help please
Answer: Stimulus checks are given to boost the economy by providing consumers with funds to spend. Consumer spending is an essential component of a healthy economy and, in times of economic uncertainty, it usually contracts.
need help ASAP :}}}}}
Answer:
The answer is 24
Step-by-step explanation:
(5x4) the first part 5x4 is 20 so then (1x4) the second part 1x4 is 4 so when you add 20 + 4 it will be 24.
Answer:
20 + 4
Step-by-step explanation:
Evaluate in the parenthesis first.
5 x 4 = 20
1 x 4 = 4
bring them down
20 + 4
Keep the plus sign.
Solve these equations. Show solutions on a number line.
|x-7|=x-7
Answer:
X is equal to or greater than 7
Step-by-step explanation:
Since lx-7l is equal to x-7, this means that it can only work on places where the lines are on top of each other. In terms of x, this means that x must be at least 7. As you can see in the number line also attached.
HELP ME PLEASE TO THIS QUESTION
Answer:
510 miles, 204/3 = 68
68x7.5= 510
There u go :)
Select the correct answer,
Factor the given expression,
X2 + 16x + 64
O A. (X + 8)(x-8)
OB. (x+ 16)(x + 4)
Oc. (x+4)?
OD. (x+8)?
Answer:
(x+8)^2
Step-by-step explanation:
x^2 +16x+64
What two numbers multiply to 64 and add to 16
8*8 = 64
8+8 = 16
(x+8)(x+8)
(x+8)^2
Please help me with the question
Answer:
area = 84 m²
Step-by-step explanation:
area = (1/2)(4)(3)(2) + (5)(6) + (6)(3) + (4)(6) = 84 m²
please help and putting the steps would help
Answer:
x = 8
Step-by-step explanation:
These angles provided are alternate interior angles. That means they are congruent (equal). All you need to do now is answer the equation "8x-4 = 60".
From that you can see that x is 8.
Answer:
the angles are alternate interior angle pair, they are equal
8x - 4 = 608x = 64x = 8If Paul saves $3.00 every week for twelve weeks and then buys a CD for $15.00 plus 9% tax, how much money will he have left?
Answer:
18.90
Step-by-step explanation:
3x12=36
36-15=21
21 x 0.9
Answer:
$19.65
Step-by-step explanation:
12*3=36
15*.09=1.35
15+1.35=16.35
36-16.35=$19.65
Joe has a goal to practice his clarinet for 4 1/2 hours per week the list below shows the number of hours does practice this week so for Monday one and a half Wednesday 1 1/4 Thursday one how many more hours does Joel need to practice this week to meet his goal.
Answer:
0.75 hours more
ANSWER ASAP! SCAM LINKS REPORTED.
Answer:
b is correct
Step-by-step explanation:
i did this pls mark as branlyest
Answer:
I believe the answer is D
Step-by-step explanation:
The length, I, of your arm is usually about 3/8 of your height,
h. Which equation demonstrates this?
3/8h=l
3/8l=h
h=5/8l
l=8/3h
Answer:
l=8/3h equation demonstrates this
Darren has traveled
2/3
of his total trip. He has traveled 21 miles so far. How many more miles does he have to travel?
Answer:
The answer is 7 miles
Step-by-step explanation:
2/3 × 21 = 14
21-14 = 7
Which one is the greatest volume
Answer: The First Cylinder has more volume
Step-by-step explanation:
1. V = 471.24
2. V = 282.74
What is the quotient of (x^3 + 3x^2 - 4x - 12) divided by (x^2 + 5x + 6)
Answer: The quotient is (x-2)
Answer:
x-2
Step-by-step explanation:
Layla arked a group of students to chooue their favorite type of exerche from the choices of jogging, biling, and wwimming. The rules of the survey are shown in the graph. Favorite Types of exercise 20 Vurbe orders li AD Jogging Biking Swimming Type of Exercise Based on the graph, how many students in a class of 420 students would be expect to choose biking or mwimming as their favorite type of cherche
Answer:
50 students
Step-by-step explanation:
20 + 30 = 50
please help!!!!!!!!!!!!!!!!!!!!
The following triangles are similar. Solve for x:
Answer:
5
Step-by-step explanation:
Common factor: 4. Divide 20 by 4 to get 5
Answer: X=5
Step-by-step explanation:
Since the triangles are similar shape-wise, then that means that the sides are going to be similar numerically.
12/4 got us 3, which is the side of that smaller triangle. Since we divided 12 by 4, then we need to divide 20 by 4 to get the unknown side. 20/4 is 5, therefore x is 5.
PLZ ANSWER NO FAKE LINKS
Answer:
Draw a Rectangle with 3/10 at the bottom and 1/2 at the top
Step-by-step explanation:
Have a Nice Day!
pls help i dont get it much
Answer:
Fraction Decimal Percent
111/250 = 0.444 = 44.4%
5/100 = 0.05 = 5%
2/3 = 0.66 = 666%
guys help asap plsss!
Given:
The triangle ABC rotated 270 degrees clockwise.
The rule of rotation is
[tex](x,y)\to (-y,x)[/tex]
To find:
The coordinates of point B after the given rotation.
Solution:
From the given graph, it is clear that the coordinates of point B are (4,4).
The given rule of rotation is:
[tex](x,y)\to (-y,x)[/tex]
Using this rule, we get
[tex]B(4,4)\to B'(-4,4)[/tex]
The coordinates of point B after the given rotation are (-4,4).
Therefore, the correct option is C.
(x +y)(x-y), ifx= -3, y=-5
Answer:
-16
Step-by-step explanation:
(-3 + (-5))(-3 - (-5))
(-3 - 5)(-3 + 5)
(-8)*2
-16
(3f–3)^2 pls help
aaaaaaaaaaaaaaaaaaaa
Zoe is calculating the volume of this rectangular prism.

Zoe calculates the volume as 16 cubic units because 8 units long + 5 units high + 3 units wide = 16 cubic units. Which of the following describes the mistake Zoe made in her calculation?
Zoe is wrong because she calculated the volume 8 + 5 + 3 = 16 instead of 8 × 5 + 3 = 43.
Zoe is wrong because she added all the dimensions instead of only adding the length and width.
Zoe is wrong because she calculated the volume 8 + 5 + 3 = 16 instead of 8 + 5 – 3 = 10.
Zoe is wrong because she added all the dimensions instead of multiplying all the dimensions.
It’s the last one :)