Step-by-step explanation:
v=u+at
v=0+9.8m/s2 ×4s
v=39.2 ms-1
Final velocity; v = -39.24 m/s
In free fall, the motion is in the direction of gravity.
Formula for final velocity in free fall is;
v = u + gt
(g is negative)
We are told the ball is dropped from rest.
Thus;
Initial velocity: u = 0 m/s
Time; t = 4 secs
Acceleration due to gravity; g = -9.81 m/s²
Thus, Plugging in the relevant values, we have;
v = 0 + (-9.81 × 4)
v = -39.24 m/s
Final velocity; v = -39.24 m/s
Read more at; brainly.com/question/4853862
How many metres of cloth 4.4 m wide will be required to make a conical tent of radius of whose base is 3.5m and whose height is 8.4m .
[tex]\Huge{\boxed{\sf{\red{22.98m}}}}[/tex]
➢ Explαnαtion :Givєn :Radius of the tent,r = 3.5 mHeight of the tent, h = 8.4 mTo Find :length of the cloth required.Solution :According to the question,
Slant height, l = [tex]\displaystyle{\sf{ \sqrt{{r}^2 + {h}^2} = \sqrt{{3.5}^2 + {8.5}^2}}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ = 9.192m}}[/tex]
curved surface area = [tex]\displaystyle{\sf{ \pi rl}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{22}{7} \times 3.5 \times 9.192{m}^2}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ 101.112}}[/tex]
i.e., Area of the cloth is 101.11m²
Now, length of the cloth required = [tex]\displaystyle{\sf{ \frac{area}{width}}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{101.11}{4.4}}}[/tex]
[tex]\implies[/tex] [tex]\large{\boxed{\sf{\red{22.98m}}}}[/tex]
What is the value of x?
2/7(x+4)= -6
O x=35
O x= -25
O x= 25
O x=35
Hey there!
2/7(x + 4) = -6
2/7(x) + 2/7(4) = -6
2/7x + 8/7 = -6
SUBTRACT 8/7 to BOTH SIDES
2/7x + 8/7 - 8/7 = -6 - 8/7
CANCEL out: 8/7 - 8/7 because it gives you 0
KEEP: -6 - 8/7 because it helps solve for the x-value
NEW EQUATION: 2/7x = -6 - 8/7
SIMPLIFY IT!
2/7x = -50/7
MULTIPLY 7/2 to BOTH SIDES
7/2 * 2/7x = 7/2 * (-50/7)
CANCEL out: 7/2 * 2/7 because it gives you 1
KEEP: 7/2 * (-50/7) because it helps solve for the x-value
NEW EQUATION: x = 7/2 * (-50/7)
SIMPLIFY IT!
x = -25
Therefore, your answer is: x = -25
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Marrisa added 1.56 and 13.47. She got 29.07. What mistake could Marrisa have made? She forgot to move the decimal point to the left after she added. She lined up the front numbers instead of the decimal places. She lined up the last numbers instead of the decimal places. She didn’t carry correctly between place values.
without an explanation your answer is (B) She lined up the front numbers instead of the decimal places.
if you need an explanation here:
________________________________________
For a problem with a decimal in the numbers, you ALWAYS have to line them up or your answer will be incorrect.
She should have put: 13.47
+ 1.56
15.03
therefore, 15.03 would have been her correct answer. :-)
Answer:
b
Step-by-step explanation:
edge 2021
Given that f(x) = -x and g(x) = 2x - 1. Find the value of f(3) - 9(-4).
Answer:
f(3)= -3
g(-4)=2*(-4 ) -1 =-9
Step-by-step explanation:
A car of mass 100 kg is moving with a velocity of 10 m/s on a road when it collides with a bus weighing 150 kg which is at rest. If both the vehicles start drifting together after the collision, find the velocity with which they are moving now?
Answer: they would be moving 15m/s
Step-by-step explanation:
10m/s times 150kg= 1500divided by 100kg=15m/s
Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. If he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether? Explain how you know. 2
Answer:
Henry needs 15 pints of paint altogether
Step-by-step explanation:
If Henry uses 2 pints of red paint and 3 pints of yellow paint to get a specific color, and he now uses a total of 9 pints of yellow, then
3 x 3 = 9 (yellow)
We know that what you do on one side, you do on the other.
2 x 3 = 6 (red)
You add
9 + 6 = 15. (Red and yellow paint)
Which will lead you to the conclusion of 15 pints.
Answer:
Henry will need 15 pints altogether.
Step-by-step explanation:
Add: 6 + 9 = 15 pints
what is the square of 3844
Answer:62
Step-by-step explanation:
62^2
Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°.)
(5x+60)
A square has a perimeter of 28 ft. What is the length of each side?
Answer:
7 Centimeters (CM)
Step-by-step explanation:
You want to divide the perimeter by 4 to find the individual lengths. (28/4) Therefore each side of the square is 7cm long.
You are increasing all sides by a scale factor of 3.
This gives each side a length of 21cm
Hope this helped!
Answer:
7ft
Step-by-step explanation:
A square has 4 congruent sides so that means all sides are the same.
28 ÷ 4 = 7
The cafeteria wants to buy 4,500 new forks. If each package contains 90 forks, how many packages should the cafeteria buy?
Answer:
50
Step-by-step explanation:
4,500÷90=50
and to check
90×50=4500
Tommy has 15 marbles in his pocket. He has 3 green, 4 white, 6 black, and 2 blue marbles. If he randomly puts his hand in his pocket and
grabs a marble, what is the probability that he will pick a black marble?
Answer:
0.4
Step-by-step explanation:
The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become
P(B)=number of black marbles divide by total number of marbles
P(B)=6/15
P(B)=0.4 OR 40%
Therefore the probability that Tommy will pick black marble is 0.4 or 40%
6+7m<6m or 3m-7<5+6m
Step-by-step explanation:
6+7m<6m or 3m-7<5+6m
6<7m+6m or 3m-6m<5+7
6<13m or -3m<13
m<13/6 or m<13/-3
m<2.16 or m<-4.333
m<2.2 or m<-4.34
Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a year
Answer:
1: 11982.79
2: 12136.31
4: 12216.09
12: 12270.46
365: 12297.10
Step-by-step explanation:
The compound interest formula is A=P*(1+r/n)^nt
P=principal amount
r=rate
n=number of compounds per period
t=number of periods
In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.
For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.
For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.
And so forth. Good luck
someone help me find the answer
The coordinates of M ⇒ (-6,0)
N ⇒ (-3,2)
Distance formula ⇒[tex]\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]
Plugging in those values gives us an answer of [tex]\sqrt{13}[/tex]
Let me know if you want to see more work!!!
:)
Problem 5 (from Unit 2, Lesson 5)
Select all the ratios that are equivalent to each other.
4:7
8:15
16:28
2:3
20:35
Answer:
20:25 probably don't quote me
If 2x-3y+5-(x-3y)=11-2x, what is the value of x?
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]
Remove brackets and flip the sign in the brackets:
[tex]2x-3y+5-x+3y=11-2x[/tex]
Group the similar terms together:
[tex]-3y+3y+2x-x+5=11-2x[/tex]
Add/subtract the terms:
[tex]x+5=11-2x[/tex]
Subtract 5 from both sides:
[tex]x+5-5=11-2x-5[/tex]
[tex]x=-2x+6[/tex]
Add 2x to both sides:
[tex]x+2x=-2x+6+2x[/tex]
[tex]3x=6[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{6}{3}[/tex]
[tex]x=2[/tex]
simplify (3x^5)^2 please !!
Answer:
[tex]9x^{10}[/tex]
Step-by-step explanation:
[tex](x^a)^b=x^{ab}[/tex]
so
[tex](3x^5)^2=9x^{10}[/tex]
Use estimation to determine the product of 15.4 and 5.7
Answer:
about 90
Step-by-step explanation:
15.4 rounds down to 15
5.7 rounds up to 6
15 × 6 = 90
True or false? The graph has a real root when x =5
Answer:
True, assuming you mean on any graph.
Step-by-step explanation:
how much can an 55 affect my overall 100 grade?
Answer:
Depends on how many assignments you've completed.
Step-by-step explanation:
The accumulated overall grade is all about percentages, everything's a ratio when it comes to grades.
Answer:
it can bring it down alot
Step-by-step explanation:
it also can make your redo the grade
please help meeeeeeeeeeeeeeeeeeee
Answer:
B
Step-by-step explanation:
AB and CD are the same length, so the construction will be one that shows addition of same-length segments. In choices A and C, XY > YZ. In choice D, XY < YZ. Only choice B shows addition of same-length segments.
As a check, you can compare the length of AB or CD to XY or YZ. You will find they are approximately the same, as they should be.
Use estimation to determine the product of 15.4 and 5.7
8 Level Problems (Challenging, Unfamiliar)
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find
the length of the hypotenuse.
h = 15√3/4
= 6.4875
≈ 6.5 cm
Step-by-step explanation:h = 3x
c₁ = 5 cm
c₂ = x
Pythagorash² = c₁² + c₂²
(3x)² = 5² + x²
9x² = 25 + x²
8x² = 25
x² = 25/8
x = √25/8
x = 5/2√2
x = 5√2/4
h = 3x
= 3×5√2/4
= 15√2/4 cm
can someone help me with this question? I keep on getting it wrong.
Answer:
102
Step-by-step explanation:
Let x be the amount of money John spends.
x/2-5=46
x/2=51
x=102
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the following equation for x, and express its value in terms of c. 3(cx-7)=9
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
Y=x-9
Help if possible
answer to the problem is 9
2/3(4w+9) Please help
Charlotte is making pies for her whole family. So far, she has made 5.04 pounds worth of pie, and has 7 people to feed, including herself. How much does each person get if Charlotte is done making pies?
Answer:
0.72 pounds
Step-by-step explanation:
Each of the 7 people gets 1/7 of the pounds of pie, so ...
(5.04 pounds)/7 = 0.72 pounds
Each person gets 0.72 pounds of pie.
Change the following rate into a unit rate: $12/6 burgers.
Answer:
$2/1 burger
Step-by-step explanation:
You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1
-37 - -47
gtfrtgyhbtgfvbnhjmrybgtsfvdcsx
Answer:
-37- -47=-10
Step-by-step explanation: