Answer:
[tex]\sqrt{13}[/tex]
The rate of change of distance between two cars at the given time is required.
The required rate of change is [tex]\sqrt{13}[/tex] feet/s
Rate of changea = Distance covered in 5 s by bike A = [tex]2\times 5=10\ \text{feet}[/tex]
b = Distance covered in 5 s by bike B = [tex]3\times 5=15\ \text{feet}[/tex]
c = Distance between A and B in 5 s = [tex]\sqrt{10^2+15^2}=5\sqrt{13}\ \text{feet}[/tex]
Applying Pythagoras theorem
[tex]a^2+b^2=c^2[/tex]
Differentiating with respect to time
[tex]2a\dfrac{da}{dt}+2b\dfrac{db}{dt}=2c\dfrac{dc}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{10\times 2+15\times 3}{5\sqrt{13}}\\\Rightarrow \dfrac{dc}{dt}=\sqrt{13}\ \text{feet/s}[/tex]
Learn more about rate of change:
https://brainly.com/question/8728504
Please help! To determine the height of the CN Tower in Toronto, Ontario, Canada a person stands away from the base of the tower and measures the angle of elevation to the top of the tower to be 60°. After moving 118 meters closer to the tower, the angle of elevation to the top of the tower is 70°. A. How tall is the CN tower? B. How far was the person standing from the base of the tower when each angle measurement was taken?
Answer:
A right triangle is formed by the tower, a point 1000m from the tower
Use the tangent. let h = the height of the tower
tan(28.81) = h%2F1000
h = 1000 * tan(28.81)
h = 550 meters
Step-by-step explanation:
Grocery Mart has cookies on sale for $3.84 for 12 cookies. Food Shoppe has cookies on sale for $5.70 for 19 cookies. Which store has a better deal on cookies?
Grocery mart:
12÷$3.84=3.125
Food Shoppe:19÷$5.70=3.333
so grocery mart is cheaper by
0.2075333333
Answer:
grocery mart has cookies on sale for $3.84 is a better deal
Step-by-step explanation:
Elsa received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.69 per pound. After buying the coffee, she had $43.93 left on her
card. How many pounds of coffee did she buy?
Answer:
3
Step-by-step explanation:
70 - 8,69 - 8,69 - 8,69
You substracted it 3 times which means your answer is 3 pounds
Given z1 =9+9/3i and z2 = 2+/3i, what is z2-z1?
8+7/3i
-7-8/3i
7+ 10/3i
-7+ 10/3i
Answer:
z2 - z1 = 7/3i
Step-by-step explanation:
Given the following complex number:
z1 = 9+i/3i
z2 = 2+i/3i,
Taking the difference
z2 - z1 = 9+i/3i - (2+i))/3i)
z2-z1 = (9+i-(2+i))/31
z2 - z1 = 9+i -2-i/3i
z2-z1 = 9-2/3i
z2 - z1 = 7/3i
Note that the complex number given was not properly written and the ones used were assumed. Same procedure an be used for other complex numbers that might be given.
8c-72=-2(6x-9)-4c fast
Answer:
2c+15/2
Step-by-step explanation:
Lauren wants to build a model
airplane using a scale where 2 inches
represents 15 feet. If the airplane is
75 feet long, how long should the
model be?
Answer:
Step-by-step explanation:
you got this i believe in you!
HELP, WILL GIVE BRAINLIEST!!!!!!
What type of association is shown by the scatterplot?
linear, strong
linear, weak
nonlinear, strong
nonlinear, weak
Answer:
Non-linear, I believe its weak
Step-by-step explanation:
You can see clearly that the lines are not tightly packed, and they arent making a line.
Let me know if you need more help! :)
Hope this helps!
Can you guys please answer this it is due in 15 mins I really need help with all of them!
Answer:
3) is D
4)is A
5)
6)B
Step-by-step explanation:
hdhhdhdjd
Joey built a skateboarding ramp. The base of the ramp along the ground is 13 feet, and the top of the ramp is 7 feet off the ground. What is the length of the ramp's incline?
Answer:
14.77 feet
Step-by-step explanation:
Using the pythagoras theorem to get the length of the ramp
l² = 13² + 7²
l is the length of the ramp
l² = 169 + 49
l² = 218
l = √218
l = 14.77 feet
Hence the length of the ram is 14.77 feet
the volume of cylinder can be 1.5litre and area of its base is 77 . find its height
Answer:
20.07 cm³
Step-by-step explanation:
Volume of Cylinder = 1.54 liters = 1540 cm³.
Area of its base = 77 cm².
πr² = 77
(22/7) * r² = 77
r = 4.94
Now,
Volume of cylinder = πr²h
⇒ 1540 = (22/7) * (4.94)² * h
⇒ h = 20.07 cm³
I NEED HELLLLPPPP:(((((
Answer: C. -1
Step-by-step explanation: -1 is your "a" value and is your leading coefficient.
According to the Center for disease control, 15% of US adults are estimated to have a chronic kidney disease. A random sample of 150 US adults are selected. What is the probability that exactly 35 have chronic kidney disease
Answer:
[tex]P(X=35) =0.2\%[/tex]
Step-by-step explanation:
From the question we are told that
Sample space n = 150
Sample percentage p = 0.15
Generally people without the disease in the set is give as X
[tex]X= 1-p[/tex]
[tex]X= 0.85[/tex]
35 have kidney disease,
[tex]P(X=35) = C(150,35)*(0.15)^35*(0.85)^115[/tex]
[tex]P(X=35) = 0.0021[/tex]
[tex]P(X=35) =0.2\%[/tex]
Please help me with 47 and 48
Answer:
42. -1
48. 2
Step-by-step explanation:
Answer:
-1
2
Step-by-step explanation:
Miles per Hour, Inches per Second, Feet per Min are all examples of ?
2a) Solve using substitution.
y = 2
2x + 2y = 10
Explain how you got the answer please step by step
Answer:
3
Step-by-step explanation:
2x+2 x 2= 10
2x + 4 = 10
-4 -4
2x= 6
divide them by 2 to get x by itself
x=3
A class of 36 students has 18 boys. What is the ratio of girls to boys? What is the ratio of boys to girls?
Answer:
18:18
Step-by-step explanation:
You first do 36-18 and then add your answer with the 18 to check it and correct it.
4 + x/7 =2
Solve
a -14. b 10. c 12 d 42
Answer:
-14
Step-by-step explanation:
4 + x/7 =2
x/7= -2
x= -2 * 7
x=
-14
at the grocery sale you want to buy 4 and 9 tenths lb of cheese what decimal should the digital scale show
Answer:
4.9 lb
Step-by-step explanation:
Tenths are the first place after the decimal point.
Point S is on line segment \overline{RT}
. Given ST=3x-8,ST=3x−8, RT=4x,RT=4x, and RS=4x-7,RS=4x−7, determine the numerical length of \overline{RT}.
RT
.
.
Answer:
RT = 20
Step-by-step explanation:
Point S is on line segment
R------------S------------T
RS + ST = RT
Given
ST=3x-8
RT=4x
RS=4x-7,
Step 1
We find x
4x - 7 + 3x - 8 = 4x
4x + 3x -7 - 8 = 4x
7x - 15 = 4x
7x - 4x = 15
3x = 15
x = 15/3
x = 5
Step 2
We find RT
RT = 4x
x = 5
RT = 4 × 5
RT = 20
The numerical length of RT is 20
A square has a side length of 13 meters. What is the area of the square?
If the dimensions of the square are doubled, what will be the area of the new square?
Answer:
Area of original = 169m^2
Area of new = 676m^2
Step-by-step explanation:
Area of a square = (length of side)^2
13^2 = 13 * 13 = 169
If the dimension is doubled:
(2*13)^2 = 26^2 = 676
Answer:
G00D LuCk
Step-by-step explanation:
Feel free to fail
Ms. Taylor's checking account changes by-$1146 every year on her
electricity each year. How much does her account balance change per
month?
Answer:
-95.5
Step-by-step explanation:
if you do -1146 divided by 12 you get -95.5
Help! Plz!!!!!!!!!!!!!!!!!!!!!!
Answer:
girl literally I have the same thing omg
Answer:
What grade is this? Do you have to simplify or something?
Question Help
You invested $23,000 in two accounts paying 8% and 9% annual interest, respectively. If the total interest earned for the year was
$2040, how much was invested at each rate?
The amount invested at 8% is $
The amount invested at 9% is
Enter your answer in each of the answer hoxes
There are 15 fruits in a bowl and 3 of them are apples. What percent of the fruits in the bowl are apples?
Answer:
20 percent of them
Step-by-step explanation:
3/15=1/5=20%
41. Write a proof of the theorem that states if an angle of a quadrilateral is supplementary to both of its consecutive angles, the quadrilateral is a parallelogram.
Given: m∠F + m∠G = 180, m∠F + m∠J = 180
Prove: FGHJ is a parallelogram
What statement proves the theorem?
A. By the Angle Addition Postulate m∠F = m∠J and m∠G = m∠H. So, by the definition of a parallelogram, FGHJ is a parallelogram.
B. By the Converse of the Same-Side Interior Angles Postulate, FJ|| GHand FG||JH. So, by the definition of a parallelogram, FGHJ is a parallelogram.
C. By the Polygon Interior Angle-Sum Theorem, m∠F + m∠G + m∠F + m∠J = 360. So, by the definition of a parallelogram, FGHJ is a parallelogram.
D. By the Converse of the Same-Side Interior Angles Postulate, FJ = JH andFG=JH. So, by the definition of a parallelogram, FGHJ is a parallelogram.
Answer:
B.
there's proof that opposite sides are parallel so it must be a parallelogram
Step-by-step explanation:
Joe wants to buy the new Air Jordans for $170. He has saved up $180 by plowing driveways. He knows that he will have to pay 7.5% tax. Will Joe have enough money to buy the sneakers?
Answer:
No
Step-by-step explanation:
This is because 7.5% of $170 is $12.75. If you add this to the original price of $170, then it will equal $182.75.
If your friend is driving at a speed of 25 miles per hour, how many miles per second is your
friend traveling?
Answer:
0.0069444444
Step-by-step explanation:
Hey guys I need help on question 38 and 39 please! :)
A gardener measured the heights of two plants at the end of every week. The function y=3x+8.5 gives the hight of plant a in centimeters at the end of x weeks. The function y= 2.5x+14.5 gives the hight of plant b in centimeters at the end of x weeks
Answer:
12 weeks
Step-by-step explanation:
Step one:
given data
let the heights of the plants be y
and the number of weeks be x
Plant A
y=3x+8.5--------------1
Plant B
y=2.5x+14.5----------2
Required
The number of weeks taken for both plants to have the same height
,equate the two expressions above
3x+8.5=2.5x+14.5
3x-2.5x=14.5-8.5
0.5x= 6
divide both sides by 0.5
x= 6/0.5
x= 12 weeks
Which value of x from the set (5, 6, 7, 8) makes this equation true?
3x24
O A 5
OB. 6
O c. 7
OD
8
Answer:
D. X = 8
Step-by-step explanation:
Reason: 8 x 3 Would get you 24