Answer:
V = 53.7 m/s ∠-21.41°
Step-by-step explanation:
Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s
So, v = u - gt
v = 0 m/s - 9.8 m/s² × 2 s
v = 0 m/s - 19.6 m/s
v = - 19.6 m/s
Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)
So, V = √((50 m/s)² + (-19.6 m/s)²)
V = √(2500 m²/s² + 384.16 m²/s²)
V = √(2884.16 m²/s²)
V = 53.7 m/s
Its direction Ф = tan⁻¹(v/u')
Ф = tan⁻¹(-19.6 m/s/50 m/s)
Ф = tan⁻¹(-0.392)
Ф = -21.41°
So it velocity V = 53.7 m/s ∠ -21.41°
Find x. Round to the nearest tenth and only type the number for your
answer.
25
X
16
22
Answer:
10.7
Step-by-step explanation:
To find x we have to basically do pythagoream theorem twice. Both the traingles share the same long side. The find the long side of the top traingle do, [tex]a^{2} +16^{2} =25^{2}[/tex], and we find the long side to be [tex]\sqrt{369}[/tex]. Using this we now plug it into the pythagoream theorem for the bottom triangle. [tex]\sqrt{369} ^{2} +x^{2} =22^{2}[/tex], and doing this out we find that x=[tex]\sqrt{115}[/tex] or about 10.7.
Study the figure.
53
53
?
What is the measure of the missing exterior angle, in degrees?
Answer:
exterior angle is equal to the sum of two interior opposite angle
?=53+53=106°
missing exterior angle =106°
The measure of the exterior angle is 106°.
What is an exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it.
Given that, a triangle has two interior angles 53° and 53° and an exterior angle x,
Since, we know that, sum of opposite two interior angles of a triangle is equal to measure of exterior angle.
Therefore,
53° + 53° = x
x = 106°
Hence, the exterior angle is 106°
Learn more about exterior angles, click;
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The order in which conditions are combined does not matter in a _____.
permutation
combination
sequence
series
Answer:
combination!!
Grant is making hot dogs for a picnic. Hot dogs come in packages of 8. Hot dog buns come in packages of 12. What is the least number of packages of hot dogs and packages of hot dog buns, can Grant buy so that he has the same number of servings of each?
Answer:
6 hot dog packages and 4 hot dog buns packages.
Step-by-step explanation:
12 x 4 = 48
8 x 6 = 48
Answer:
3 hot dogs and 2 buns
Step-by-step explanation:
Multiply hot dogs until you get a multiple of 12 for this the lowest common multiple is 24
Quick maths question please help
Answer:
U have to add it all up
10+4+5+8+12=39..
This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide
1.What is the area of one of the semicircles at either end of the track?
2.The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle?
3.What is the distance around one of the semicircles at either end of the soccer field?
4.What is the distance around the inner lane of the track (i.e., the lane closest to the soccer field)? PLEASE HELP <3
Answer:
Step-by-step explanation:
1. 1923.25
2.about 3846.5 yards
3.219.91
4.639.82
Answer: See below
Step-by-step explanation:
1) 1/2 x 3.14 x 35^2
1/2 x 3.14 x 1225
1/2 x 3846.5
A = 1923.25 yd^2
2) (3.14)r^2
(3.14) (35)^2
3846.50 yd^2
3) P = d + (3.14)r^2
P = 70 + (3.14) (35)
P = 70 + 109.90
P = 179.90 yd
4) P = 2( l + w)
P = 2 (70 + 100)
P = 2 (170)
P = 340
Perimeter of the square minus the perimeter of the circle.
340 - 179.90 = 160.10 yd
8÷2(2+2) This is 16 not 1
Step-by-step explanation:
8÷2(2+2) = 8.
2(2 + 2)
= 8.
4 + 4
= 8.
8
= 1
Answer:
using BODMAS
The answer is 1
Step-by-step explanation:
Bracket Order Division Multiplication Addition and Subtraction
Solve the triangle, round answers to the nearest tenth.
Step-by-step explanation:
to get DE nd also EF u can use the cosine rule since two angles and a side has been given
and to get the angle at D since we know ∆=180 then u add up the angles given then u subtract from 180
The lengths of three ropes are 4 : 5 : 9. If the length of the shortest rope is 20 cm, find the length of the longest rope
Solve for x in the diagram below (x+42)
Answer:
x = 12
Step-by-step explanation:
(x + 42)° + 3x° = 90°
x + 3x + 42 = 90
4x = 90 - 42
4x = 48
x = 12
2x - 42 = 94
Solve for x
Answer:
x = 68
Step-by-step explanation:
2x - 42 = 94
Use inverse operations to add 42 to both sides of the equation.
2x - 42 + 42 = 94 + 42
Simplify this to-
2x = 136
Now divide 2x and 136 by two for-
2x/2 = 136/2
Simplify.
x = 68
The answer, then, is x = 68.
I hope this helps ^^
Good luck :]
$6,000 was invested at a simple interest rate. In 15 years, the
account was worth $9,600. What was the interest rate? Show all your
work!
Answer:
4.2%Step-by-step explanation:
S.I=P×R×T R=I×100/R×T =6000×100/9600×15=600000/144000
=4.2%
Patricia tiene $80.000 sólo en billetes de $5.000, Camila tiene $60.000 sólo en billetes de $2.000 y Andrea tiene $120.000 sólo en billetes de $10.000. Cada una aportará la misma cantidad de dinero a un fondo para comprar un regalo a su madre, que tiene un valor de $90.000. ¿Con cuántos billetes se quedará Camila después de pagar su parte de la cuota?
Answer:
mmmm
Step-by-step explanation:
The mean of the data set shown in the table is 57. What is the mean absolute deviation?
6
9
9.5
12
Answer:
The answer is 9
Step-by-step explanation:
Answer:
9 or B
Step-by-step explanation:
Got it right on Edge2021
Convert the following angle from degrees to radians. Express your answer in simplest
form.
375°
Answer:
25 π /12 radians
Step-by-step explanation:
To convert degrees to radians, multiply by π /180 , since a full circle is
360 or 2 π radians.
Cancel the common factor of 15
Factor 15 out of 375
15 (25). π/ 180 radians
Factor
15 out of 180
15. 25 ⋅ π/ 15 ⋅ 12 radians
Cancel the common factor.
15
⋅ 25 ⋅ π/ 15 ⋅ 12 radians
Rewrite the expression.
25 ⋅ π/ 12 radians
Combine
25 and π /12
25 π /12 radians
A
5
B
10
C
6
D
4
pls help
Answer:
Pretty sure it's C.
Step-by-step explanation:
A and B are 6 units away from each other.
Answer:
C
Step-by-step explanation:
Count the boxes
find the area of the figure. (3.14 for pi)
Answer:
140
16x8=128
12-8=4
16-10=6
6x4=24
24/2=12
12+128=140
By how much would the quantity of labor demanded decrease if a minimum wage hike raised prevailing wages from $8 to $10 an hour and if the elasticity of labor demand were 0.40?
Answer:
it would decrease by 10%
Step-by-step explanation:
Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
percentage change in price = ($10 - $8) / $8 = 0.25 x 100 = 25%
0.4 = percentage change in quantity demanded / 25%
percentage change in quantity demanded = 25% x 0.4 = 10%
A full set of adult teeth has 160% as many teeth as a full set of baby teeth. How many teeth are there in a full set of adult teeth if there are 20 teeth in a full set of baby teeth
Answer:
The adult has 32 teeth
Step-by-step explanation:
20*.1.60=32
Answer:
32
Step-by-step explanation:
100% - 20 60% (20x0.60) 12 20+12 32
Which one is larger: The surface area of a sphere with
radius r inches or the combined area of three circles
each of radius r inches? How do you know?
Answer:
Step-by-step explanation:
formula for surface area of a sphere is
A = 4πr^2
for a circle the area is
A = πr^2
notice they are the same except for the 4 in front of the sphere... so which do you think is bigger
3 circles or 1 sphere.. that all have the same "r" ???
it's the sphere.. if you're really not sure
BRAINLIEST TO CORRECT ANSWER! :) NO links as answers, or you will be reported!! (question 20)
1+1=1268934457687423456779052436869867543?
Answer:
2
Step-by-step explanation:1+1=2 its 2 okay its 2 not 1268934457687423456779052436869867543
Compare the two data sets. Do they have the same center, or is the center of Walden’s data set greater or less than the center of Drake’s data set?
Answer:
Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.
Step-by-step explanation:
explain why guard cells have thicker inner walls and thinner outer walls
Plz need help it’s due today
solve for k. -5/6k = -10
Answer:
k = 12
Step-by-step explanation:
-5/6k = -10
Multiply both sides by 6k
-5/6k x 6k= -10 x6k
simplify
-5 = -60k
Switch sides
-60k = -5
Divide both sides by -60
-60k/-60 = -5/-60
Simplify to get your answer of
1/12 or 12
If you have any questions revolving around this topic,feel free to ask me :)
Three children shared some
sweet in the ratio of their ages.
The chilren are 4, 7, and 9 years
old. The oldest child gets 54
sweets
How much sweets did they have
altogether:
Answer:
120
Step-by-step explanation:
4x, 7x, 9x
9x=54
we need to find 4x+7x+9x
9x=54⇒x=6
4x+7x+9x=20x=20×6=120
Answer:
120 sweets
Step-by-step explanation:
4:7:9
Total Parts = 4+7+9=20
Oldest(9)= 9/20
9/20P= 54 Sweets
Total Sweets = 54/ (9/20) =120
Melanie invested $3800 in an account paying in interest rate of 2 3/8% compounded quarterly Sebastian invested $3800 in an account paying in interest rate of 2 3/4% compounded monthly after 16 years how much more money with Sebastian have in his account then Melanie to the nearest dollar
Answer:
$317
Step-by-step explanation:
Formula for compound interest is;
A = P(1 + (r/n))^(nt)
For melanie;
P = $3800
r = 2⅜% = 0.02375
n = 12/4 = 3
t = 16 years
Thus;
A = 3800(1 + (0.02375/3))^(3 × 16))
A ≈ $5548
For Sébastien;
P = $3800
r = 2¾% = 0.0275
n = 12
t = 16
Thus;
A = 3800(1 + (0.0275/12))^(12 × 16))
A ≈ 5865
Difference between Sébastien and Melanie's final amount = $5865 - $5548 = $317
Can 1.2345 be written as a fraction ?
Answer:
2469/2000
Step-by-step explanation:
Answer:
Yes. 2469/2000
Step-by-step explanation:
Evaluate the expression shown below and write your answer as a fraction in simplest form 2/9 - 11/15
Plz solve asap
Answer:
-23/45
Step-by-step explanation:
2/9-11/15
2×5/9×3-11×3/15×3
10/45-33/45
10-33/45
-23/45
decimal form:-0.51
Answer:
217247812842747328hjedhsba309
Step-by-step explanation:
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