Answer:
[tex]6.3m/s[/tex]
Step-by-step explanation:
Note: We will take g as 9.8 in this question.
The two equations we will use for this questions are:
[tex]G.P.E = mgh[/tex], m = mass, g = acceleration due to gravity
and the SUVAT equation: [tex]v^2=u^2+2as[/tex]
First, let's start out by finding the height from which the object is being dropped. We can do this by using the gravitational potential energy formula.
Subbing the values we have:
[tex]50 = 2.5*9.8*h[/tex]
[tex]h = 2.04[/tex] - re-arranging for the height we get a height of 2.04.
Now we will use the SUVAT equation. Let's set out the variables we have:
[tex]S=2.04\\U=0\\V=?\\A=9.8\\T=N/A[/tex]
U (initial speed) is equal to 0 because we are dropping the object from rest. Acceleration is equal to 9.8 as that is the acceleration due to gravity. The displacement (S) is the height we just worked out.
Now let's put them into one of the SUVAT equations:
[tex]v^2=u^2+2as[/tex]
[tex]v^2=(0)^2+2(9.8)(2.04)[/tex]
[tex]v^2=39.984[/tex]
[tex]v=6.3 m/s[/tex]
Determine the distance from point A to line j.
A) 2 units
B) 3 units
C) 5 units
D) 10 units
Answer:
D 10 units hhhttttttttttggffcccfgg
Answer:
My other answer was deleted for some reason
Step-by-step explanation:
The associative property is applicable to: *
I. Addition and subtraction
II. Multiplication and division
III. Addition and Multiplication
IV. Subtraction and Division
Answer:
III. Addition and Multiplication
Find the area of each semicircle. Round to the nearest tenth. Use 3.14 for Pi. 1. Diameter = 9.4 mm 2. Radius = 3 1/2 ft 3. Radius =8 in
Answer:
34.68 mm^2
19.23 ft^2
100.48 in^2
Step-by-step explanation:
Area of a circle = 0.5 x nr^2
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
0.5 x (9.4/2)^2 x 3.14 = 34.68
0.5 x (3.5)^2 x 3.14 = 19.23 ft^2
0.5 x (8)^2 x 3.14 = 100.48 in^2
There were 80 runners to start a race. In the first half of the race, 1/5 of them dropped out. In the second half of the race, 5/8 of the remaining runners dropped out. How many runners finished the race
Answer:
24
Step-by-step explanation:
Initially, there were 80 runners in the race. After the first half, 1/5 of them dropped out (given). Therefore, 4/5*80=64 runners remain. In the second half, 5/8 of these 64 runners drop out, meaning 3/8*64=24 runners finished the race.
Find the slope of the line
A 4/3
B 3/4
C -4/3
D -3/4
Answer: B) 3/4
Step-by-step explanation:
Options
2
-2
1
-1
PLEASEE HELP ME
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (6, 4)
m = [tex]\frac{4-8}{6-2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1
HELP DUE IN 15 MINS!
x=??
Answer:
7
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Use the Intersecting chord theorem;
Rule: (CE) * (EB) = (AE) * (ED)
CE = x
EB = 15
AE = 9
ED = 10
=> (x) (15) = (9) (10)
15x = 90
Now Divide each side with 15
=> x = 6
Hope this helps!
Elise is investing 10,000 in an account that earns 2.25% simple interest. How many years will it take to have a balance of 12,700 in her account, if she does not add or withdraw from the account?
Answer:
12 years
Step-by-step explanation:
The formula to solve the above question i.e to find the time is given as:
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.25%/100 = 0.0225 per year,
then, solving our equation
t = (1/0.0225)((12700/10000) - 1) = 12
t = 12 years
Therefore, if she does not add or withdraw from the account, the time it
will take to have a balance of 12,700 in her account is 12 years
The surface area of a three-dimensional object is:
A. The total length of its edges incorrect answer
B. The area of one of its faces incorrect answer
C. The total area of its outer surface incorrect answer
D. The amount of space inside
Answer:
c
Step-by-step explanation:
The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3 dimensional object
for example, the total surface area of a cube is the sum of the area of all the six faces
the total surface area of a cube = 6a²
where a = edge
if a = 6
total surface area
6(6²) = 216
Someone plz answer this o need it done
What is the midpoint of the segment shown below?
10
O A. (-1,-1)
(-11,0)
- 10
10
O B. (-1,-2)
O C. (-2, -1)
(9,-1)
- 10
OD. (-2,-1)
Kate paid $34 for a dress that was on sale at 15% off. What was the original price for this dress?
Answer:
40
Step-by-step explanation:
Price x .85 (100-15%)=34
price=34/.85
price=40
Samantha measures the perimeter of a common shape.
One of the sides is 6 inches long, and the perimeter is 24 inches.
If all of the sides are the same length, what shape does Samantha measure?
Answer:
Square
Step-by-step explanation:
24÷6
=4
Squares have 4 sides
what's the best movie ever?
Answer: Most views mayber black panther
Step-by-step explanation:
ASAP PLEASE
-WILL MARK BRIANIST
Answer:
D
Step-by-step explanation:
A. 9x9 = 81
B. 2x2x2x2x2 = 32
C. 10x10 = 100
D. 5x5x5x5 = 625
Answer:
5⁴ has the greatest value
Step-by-step explanation:
9² = 9 x 9 = 81
2⁵ = 2 x 2 x 2 x 2 x 2 = 32
10² = 10 x 10 = 100
5⁴ = 5 x 5 x 5 x 5 = 624
Therefore, 5⁴ has the greatest value!
Hope this helps!
Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?
A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2
Answer: B
Step-by-step explanation: To find the best estimation to a simple decimal problem such as this one, first round each value to the nearest tenth, hundredth, or thousandth and then subtract. So, for this problem, round each decimal to the nearest tenth.
0.54 - 0.223
0.5 - 0.2
0.3
Please mark brainliest if I did this correctly.
Determine if the three numbers form a
triangle. If they do, is it an acute, obtuse,
or right triangle?
7, 10, 12
A. acute
B. right
C. obtuse
D. not a triangle
Answer:
A acute
Step-by-step explanation:
cause an acute it between 0-90 degrees
HELP ME PLEASE!. 20 points!
Answer:
Part 1: She will make $1,944.00 In 4 days.
Part 2: 0.38
find the value of x 9 and 5
I don't know if I chose the correct answer can someone help please
Answer:
your correct its 56
Step-by-step explanation:
GIVING BRAINLIEST, EASY 7TH GRADE MATH PROBLEM.
Answer:
the answer is c
Step-by-step explanation:
im in 7th gradealso
Please help me hurry!! 7
Answer:
option 1
Step-by-step explanation:
Using the recursive formula and a₁ = 6 , then
a₂ = 3 + 2a₁²
= 3 + 2 × 6² = 3 + 2 × 36 = 3 + 72 = 75
A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?
Answer:
f(x)= 25(1 + 0.20)^t
Step-by-step explanation:
The formula- f(x)= a(1+r)^x
a= initial amount (25)
r= growth rate (20%... 0.20)
x= # of times (we don't have that in here)
When you plug in the values, you get
f(x)= 25(1 + 0.20)[tex]{t}[/tex]
hope this helps!!
2. Which equation could be used to find the length of line segment (NM)?
Hint: Use Sin when given the hypotenuse. Use Tan when given a leg.
21
N
20
A. (21) Tan (20°) = line segment (NM)
B.(21) Sin (20°) = line segment (NM)
Diagram isnt given. However, a picture illustribg the possible scenarios has been attached to help.
Answer:
KINDLY CHECK EXPLANATION
Step-by-step explanation:
Given the triangles A and B below :
Using trigonometric ratios :
If triangle A is given ;
Then ; MN will be obtained using the SIN relation :
Sin 20 = opposite (MN) / hypotenus (21)
If triangle B is given ;
Then ; MN will be obtained using the TAN relation :
Tan 20 = opposite (MN) / Adjacent (21)
Alex had 806 dinosaurs. There were 102 Velociraptors, 243 Tyrannosauruses, and the rest were Brontosauruses. There were twice as many eggs as dinosaurs. How many eggs does Alex have?
Answer: 1,612 eggs
Step-by-step explanation:
Alex has a total of 806 dinosaurs. He also has twice as many eggs as he does dinosaurs.
The number of eggs is therefore:
= Number of dinosaurs * 2
= 806 * 2
= 1,612 eggs
Ian was driving down a road and after 4 hours he had traveled 88 miles. At this
speed, how many miles could lan travel in 10 hours?
Answer:220
Step-by-step explanation:88/4=22 x 10= 220
Please help ASAP!!!! Which numbers are perfect squares? Check all that apply. A.20 B.40 C.64 D.4 E.49 F.48
Answer: 20 is not
40 is not
64 is
4 is
49 is
48 is not
Step-by-step explanation:
Will mark brainlist if correct. SIN (C)=
Answer:
sinc C = 24/25
Step-by-step explanation:
sin is opposite side/hypotenuse
sinc C = 24/25
You need to memorize the definitions of all the trig functions and these types of problems will be really easy.
Answer:
24/25
Step-by-step explanation:
hope helpful have a great day
The jet flies 1.5 times faster than the plane with a propeller. The propeller plane flies 165.7 miles per hour. How fast does the jet fly? ASAP PLEASE
Answer:
The Jet flies 164.2 mi.
Step-by-step explanation:
5. (07.02 MC) What is the value of y in the equation 2(2y - 16) = 0? (5 points) O 4 06 8 O O
Answer:
8 mate.
Step-by-step explanation:
heavy metal is pretty brilliant.
Write the equation for a radical function that has been flipped left and shifted down 1.
Answer:
[tex]g(x)=\sqrt{-x}-1[/tex]
Step-by-step explanation:
Let's use the parent function [tex]f(x)=\sqrt{x}[/tex] as an example
Because we are flipping the radical function left, this means [tex]f(x)=\sqrt{-x}[/tex]
Because we are shifting down 1 unit vertically, we have [tex]g(x)=\sqrt{-x}-1[/tex]
Therefore, the final function is [tex]g(x)=\sqrt{-x}-1[/tex]