Answer:
The magnitude of the velocity of the cars after they stick is approximately 3.7 m/s
Step-by-step explanation:
The given parameters are;
The mass of the cart traveling East, m₁ = 10.0 kg
The speed of the cart traveling East v₁= 5.00 m/s
The mass of the cart traveling at an angle of 55° m₂= 7.50 kg
The speed of the cart traveling at an angle of 55°, v₂ = 3.00 m/s
The component of the velocities of the cart raveling at an angle are given as follows;
v = 3.00 × cos(55°)·i + 3.00 × sin(55°)·j
The total momentum before collision = m₁ × v₁ + m₂ × v₂ by substitution is therefore;
m₁ × v₁ + m₂ × v₂ = 10 × 5.00·i + 7.5 × (3.00 × cos(55°)·i + 3.00 × sin(55°)·j)
The total momentum after collision = (m₁ + m₂) × v₃
By the principle of the conservation of linear momentum, whereby the momentum is conserved, we have;
m₁ × v₁ + m₂ × v₂ = (m₁ + m₂) × v₃
10 × 5.00·i + 7.5 × (3.00 × cos(55°)·i + 3.00 × sin(55°)·j) = (10 + 7.5) × v₃
50.00·i + 12.91·i + 18.43·j = 17.5·v₃
62.91·i + 18.43·j = 17.5·v₃
∴ v₃ = (62.91·i + 18.43·j)/17.5 ≈ 3.59·i + 1.05·j
Therefore, the magnitude of the velocity of the cars after they stick = √(3.59² + 1.053²) ≈ 3.7
The magnitude of the velocity of the cars after they stick ≈ 3.7 m/s.
Joy is helping her father to build a rectangular deck that measures 14 ft by 19 ft.
Find the area of the deck.
3 miles below sea level
Answer:
the answer would be -3 since it's below.
What is the slope of the line that contains the points (13, -2) and (3,-2)?
Help please!ill give brainliest
Answer:
seirously I don't know if that's an "x" or a multiplication sign
Step-by-step explanation:
[3² x(189/9)]-32
9. 21x - 32
189x - 32
x = 189/32
x = 5.29/32
[3² x(189/9)]-32
9x21-32
189-32
157
Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed?
A. 4 + 4 + 4 + 4
B. 8 + 8 + 8 + 8
C. (-1) (4 + 4 + 4 + 4)
D. (-8) + (-8) + (-8) + (-8)
Answer: B
Step-by-step explanation:
i think it is B
Answer:
c
Step-by-step explanation:
Someone help pleaseeee
Answer: 3/4
Step-by-step explanation: evalute the exponet which is 36 add the numbers then evalute again the mutiply then divide.
Angie wants to bake cookies for a bake sale. The recipe says, "for every one cup of butter use three cups of flour." What does "for every" mean in the recipe
Answer:
Step-by-step explanation:
The term "for every" is a ratio indicator, meaning that every single time you use or do one thing then you must also do or use another thing. In this scenario, it is stating that every single time that you add a single cup of butter to the cookie recipe then you must also add three cups of flower to that recipe. This ratio always maintains its proportions meaning that if you add 2 cups of butter to the recipe you would need to add six cups of flower.
The table below represents a linear relationship. What is the y intercept? A. b=0 B. b=1 X 10 12 14 16 y 23 27 31 35 c. b=2 D. b=3
Answer:
wish I could help ya but it is A yet but sure
A park is rectangular with a length of 23 miles. If the area of the park is 12 square miles, what is its width? Input your answer as a fraction.
Answer:
12/23
Step-by-step explanation:
Area = length x width
Width = area ÷ length
12 ÷ 23 = 0.5217
Or in fraction form: 12/23
Answer:
The area for a rectangle is calculated by multiplying its length and width. You are given the area and one side, so you can set up an equation and solve for the other side.
Step-by-step explanation:
A = 12 sq. mi.
L = 23 mi.
W = ?
A = L x W, so 12 = 23 x W
Solve for W by dividing both sides by 23.
W = 12/23 mi.
You can't reduce that fraction any further.
Just as a side note, the answer tells us that the park is long and narrow. It is 23 miles long, but just over half a mile wide.
Jake is offered a job at $800 for 4 days of work. He is offered another job that pays $950 for 5 days of work. Jake wants to know which job he should pick.
In the box, type a message to Jake with your advice. Support your opinion with mathematical calculations and reasoning. You may also do your work on a separate sheet of paper and upload it in the box below.
i think its pretty ez ;-;
Answer:
he should choose the $800 for 4 days job.
Step-by-step explanation:
17(w-4) +3w -27
Helpppo
Answer:
w = 19/4
Step-by-step explanation:
Solve for w:
-27 + 17 (w - 4) + 3 w = 0
17 (w - 4) = 17 w - 68:
17 w - 68 + 3 w - 27 = 0
Grouping like terms, 17 w + 3 w - 68 - 27 = (17 w + 3 w) + (-27 - 68):
(17 w + 3 w) + (-27 - 68) = 0
17 w + 3 w = 20 w:
20 w + (-27 - 68) = 0
-27 - 68 = -95:
20 w + -95 = 0
Add 95 to both sides:
20 w + (95 - 95) = 95
95 - 95 = 0:
20 w = 95
Divide both sides of 20 w = 95 by 20:
(20 w)/20 = 95/20
20/20 = 1:
w = 95/20
The gcd of 95 and 20 is 5, so 95/20 = (5×19)/(5×4) = 5/5×19/4 = 19/4:
Answer: w = 19/4
A rectangle has a length of 2 meters and a width of 40 centimeters. what is
the perimeter of the rectangle?
Please Help I’m in a test!!!!!
What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?
(A) 0
(B) 1/8
(C) 2
(D) undefined
Answer:
undefined
Step-by-step explanation:
The x coordinates didn't change so the line is vertical and vertical lines have undefined slope
solve for n. 15n / 15 = 534 / 15 and 4n / 4 = 307 / 4 **PLEASE ONLY ANSWER IF U KNOW BOTH OF THEM**
Answer: 35.6 and 76.75
Step-by-step explanation:
15n/15 = 534/15
n = 35.6
----
4n/4 = 307/4
n = 76.75
Answer:
1st answer: 35.6 or 35 3/5
2nd answer: 76.75 or 76 3/4
Hope this helps!
Step-by-step explanation:
Got you dude
15n/15=534/15
So 15 * something divided by 15 = 35.6
Let's get rid of the /15 by multiplying it by 15. So we can "cancel it out."
15n=534
something * 15=534
/15*15 to cancel it out.
534/15.... before you do that, rembeber we mulitplied it by 15, then divided it by 15? so it'd be n=35.6
NEXT QUESTION BOIIIIIII
4n/4= 307/4
hmmm :/
there are 2 "divide 4" how about we mulitply both sides by 4.
4n=307
Pretty easy right?
307/4=76.75
n=76.75
The value of y is directly proportional to the value of x. If y = 45 when x = 180, what is the value of y when x=90
Answer: 22.5
Step-by-step explanation:
The formula for.direct proportion will be:.
y = kx
Since y = 45, x = 180
45 = 180k
k = 45/180
k = 1/4 = 0.25
When x = 90
Since y = kx
y = 0.25 × 90
y = 22.5
The two roots a+b and a-
vb are called
Answer:
Conjugate radicals.
Step-by-step explanation:
thats the answer im pretty sure
Answer:
Conjugate Radicals
Step-by-step explanation:
Select the correct answer.
Solve .
A.
B.
C.
D.
Answer: d or b if not both of them a is your answer then hope this helps.
Step-by-step explanation:
please help,, will mark brainliest!!
Answer:
87 degrees
Step-by-step explanation:
because 87 and 2 are diagonal and they are going to be the same. :)
Answer:
87%
Step-by-step explanation:
how many yards are in the perimeter of a square that measures 99 inchs on each side?
Select values to transform the figure.
Reflect the triangle across the y-axis, and then translate
the image 5 units down.
y
Horizontal
Translation
4
The final image is the same as which of the following
transformations?
B
2.
Vertical
Translation
Translate 5 units down, and then reflect over the x-
axis.
✓ Translate 5 units down, and then reflect over the y-
axis.
-A
C
-2
2
4
Rotation
0
-2
Rotate 180° about the origin.
Reflect over the x-axis, and then translate 5 units
left.
Reflection
-4.
Reset
) Intro
Answer:
B according to the picture :P
Step-by-step explanation:
The final image is the same as Translate 5 units down, and then reflect over the y axis.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
Translation is the movement of a point up, down, left or right.
The final image is the same as Translate 5 units down, and then reflect over the y axis.
Find out more on Transformation at: https://brainly.com/question/26092237
Please answer this I wil give brainlist
Answer:
The answer should be continuous
Step-by-step explanation:
The answer is Continuous
What is the value of tan A?
A: 6/8
B: 6/10
C: 8/6
Answer:
A: 6/8
General Formulas and Concepts:
Trigonometry
tan∅ = opposite over adjacentStep-by-step explanation:
Step 1: Define
opposite leg of ∠A = 6 cm
adjacent leg of ∠A = 8 cm
Step 2: Write ratio
tanA = 6 cm/8 cm
tanA = 6/8
Answer:
its A
Step-by-step explanation:
I just took the test
Estimate the square root to the nearest integer.
Answer:
9.5
Step-by-step explanation:
Mark brainlyist please I've already done this before
If (3.14 × 18) × 17.5 = 3.14 × (3a × 17.5). Find the value of a.
Answer:
a = 6
Step-by-step explanation:
(3.14 * 18) * 17.5 = 3.14 * (3a * 17.5)
3.14(3x * 17.5) = (3.14 * 18) * 17.5
3.14(3a * 17.5) = 3.14 * 18 * 17.5
3.14(3a * 17.5) = 989.1
3.14 * 3a * 17.5 * 100 = 989.1 * 100
16485a = 98910
a = 98910/16485
a = 6
Solving the equation, (3.14 × 18) × 17.5 = 3.14 × (3a × 17.5), the value of a is determined as: 6.2.
How to Find the Value of a Variable in an Equation?Given equation: (3.14 × 18) × 17.5 = 3.14 × (3a × 17.5)
Step 1: Simplify the left side:
3.14 × 18 × 17.5 = 55.89 × 17.5
= 976.575
Step 2: Simplify the right side:
3.14 × (3a × 17.5) = 52.5 × 3a
= 157.5a
Step 3: Equate the left and right sides:
976.575 = 157.5a
Step 4: Solve for the value of a by dividing both sides by 157.5:
976.575 / 157.5 = a
6.2 = a
a = 6.2
Therefore, the value of a is 6.2.
Learn more about Variable in an Equation on:
https://brainly.com/question/29283831
#SPJ6
a baker bought 12 pounds of flour he used 5/8 of the flour how many pounds of flour are left
5. Diego is 165 cm tall. Andre is 1.7 m tall. Who is taller, Diego or Andre? Explain your reasoning?
Answer:
andre
Step-by-step explanation:
there is 100 cm in a meter. So diego would be 1.65 meters
Answer:
Andre
Step-by-step explanation:
1.7 meters is 170 centimeters because 1 cm is 100 meters. 165 centimeters is less than 170 meters,so Andre is taller.
Please Help this is Due today and I need explaining to if you can. THANK YOU SO MUCH!
Answer:
8 paint colors
Step-by-step explanation:
5 1/3= 16/3
2/3 cup of water can make one color, which means 8 colors can be made with 16/3 cups of water.
A total of 20 families participate in a car wash. Each family brings two cars. Mr. Gonzales notices that 35% of the cars were minivans. How many minivans were washed?
Answer:
14 minivans
Step-by-step explanation:
From the question
A total of 20 families participate in a car wash. Each family brings two cars.
Hence, the total number of cars brought to the car wash is:
20 × 2
= 40 cars.
Mr. Gonzales notices that 35% of the cars were minivans.
The number of minivans were washed is :
35% of the total number of cars
= 35/100 × 40
= 14 minivans
Hence, 14 minivans were washed
A chess club with 40 members is electing a new president. Dale received 12 votes. What percentage of the club members voted for Dale?
Answer:
30%
Step-by-step explanation:
Since you want the find the percentage of members who voted for Dale you want to do
12/40= 0.3 or 30%
Complete the point slope equation of the line through (2,3)and (7,4)
Y-4=?
Step-by-step explanation:
m = (3-7)/(2-4)
m = 2
y-4 = 2(x-7)
Y-4 = 2x - 14