Answer: 12
Step-by-step explanation:
A stone is thrown horizantally with a velocity of 50 m/s from the top of a building. Find its velocity after 2 seconds.
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°
James's Sister is arranging rows of beads. She has 56 yellow beads and 120 blue beads. She wants to arrange them so that all the beads in a row are, are the same color, and so that each row has the same number of beads. What is the least number of rows James's sister can make?
Answer:
22
Step-by-step explanation:
gcf 56, 120 = 8, 56/8=7, 120/8=15, 7+15=22. 22
How do you solve 3b(9b-27)=0
Answer:0
Step-by-step explanation:3b(-27 + 9b) = 0
(-27 * 3b + 9b * 3b) = 0
(-81b + 27b2) = 0
Answer:
[tex]b=3[/tex], or [tex]0[/tex]
Step-by-step explanation:
[tex]\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0[/tex]
[tex]b=0\quad \mathrm{or}\quad \:9b-27=0[/tex]
[tex]9b-27=0[/tex], [tex]\mathrm{Add\:}27\mathrm{\:to\:both\:sides}.[/tex]
[tex]9b-27+27=0+27[/tex]
[tex]9b=27[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]
[tex]\frac{9b}{9}=\frac{27}{9}[/tex]
[tex]b=3[/tex]
A bag has 2 mint cookies, 1 donut, and 4 wafer cookies. Two items are drawn one at a time without replacement. What is the probability of first drawing 1 donut, and next drawing 1 mint cookie?
Answer: 1/21
Step-by-step explanation:
total = 2 + 1 +4 = 7
1/7 x 2/(7-1) = 2/42
2/42 simplifies to 1/21
1/7: 1 doughnut out of a total of 7 items
2/(7-1): 2 mint cookies are available in the pool out of 6 items -> since one item has already been chosen without replacement, so now the total is 6.
The area of the base of a box is 825 square centimeters. It has a height of 26 centimeters. What is the volume of the box in cubic centimeters?
Answer: 4950 cubic centimeters.
Step-by-step explanation:
We know that, the volume of box = Base area x height
Given: area of the base of a box = 825 sq. centimeters
height = 6 centimeters.
Then, Volume of the box in cubic centimeters = 825 x 6
= 4950 cubic centimeters.
hence, the volume of the box in cubic centimeters = 4950 cubic centimeters.
CHICKEN : EGG
(1 Point)
a. cow : milk
b. yesterday : today
c. boy : girl
d. toe : finger
e. hoof : mouth
Answer:
A: cow :milk bc it comes ot the cow like the egg comes out the chicken
NEED HELP ASAPPPPPPP !!!!!!!!
Answer:
6
Step-by-step explanation:
[tex]10^{2}[/tex]= 100
[tex]8^{2}[/tex]= 64
[tex]6^{2}[/tex]=36
100-64=36
b would be 36
please select the best answer from the choices provided
Answer:
[tex]\sqrt{122}[/tex]
Step-by-step explanation:
Given that,
Vector n = 4i-j
Vector m = 3i+3j
We need to find the value of m+2n.
Put all the values,
m+2n = (3i+3j)+2(4i-j)
= (3i+3j)+8i-2j
=11i+j
Magnitude of vector,
[tex]|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}[/tex]
So the correct option is (c).
Help 50 points please
Answer:
Sine(45/53)
Step-by-step explanation:
Which term describes the offspring of a first generation cross between parents with different forms of a trait?
A: genotype
B: hybrid
C: phenotype
D: true-breeding
PLEASE HELP I WILL GIVE BRAINLIEST due today please helpp
Answer:
Step-by-step explanation:
please answer both questions correctly!!
Don’t use files please
Answer:
Look at the image.
Step-by-step explanation:
Answer:
Not sure about the second one, but the first is x=44
For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 500 miles in 10 hours, how long does it take to travel 400 miles?
____ hours
Please help me asap. No links please
8th Grade
Answer:
Option P √2.5²-1.2²
Step-by-step explanation:
a = distance between Toby's House and the playground = 1.2 inches
b = distance between the playground and Toby's Friend's House = unknown
c = distance between Toby's House and Toby's Friend's House = 2.5 inches
Use the Pythagorean Theorem to calculate the side length of b:
a²+b²=c²
b²=c²-a²
b=√(c²-a²)
b=√(2.5²-1.2²)
Therefore, option P is correct.
Answer: it is p
Step-by-step explanation:
I need help bois like i dont know what to do what to do
Answer:
the answer is A
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
the two triangles are the basically the same
If Daniel pays $62.90 to fill the 17 gallon gas tank in his vehicle and he can drive 330 miles on one tank of gas, how much does he pay per mile to drive his vehicle?
A former sells 9.4 kilograms of pears and apples at the farmers market. 4/5 of this weight is pears and the rest is apples. How many kilograms of apples did she sell at the farmers market
Answer:
1.88
Step-by-step explanation:
A farmer sells 9.4 kilograms of pears and apples
4/5 of the total weight is pears while the rest is apple
Let x represent the number of apples
9.4= 4/5 ×9.4 + x
9.4 = 0.8×9.4+x
9.4 = 7.52+ x
9.4-7.52= x
1.88= x
x= 1.88
Find the value of x in the triangle shown below.
C =
56
31
x
What is 3 1/4 x( -12.2)
Also pls answer it asap
Answer:
-39.65
Step-by-step explanation:
3 1/4 ⋅ (-12.2)
First, we must change the first fraction to a decimal.
3 1/4 = 3.25.
Now, we just multiply using standard algorithm.
3.25 ⋅ (-12.2) = -39.65.
Anytime you multiply a positive number by a negative number, the answer will ALWAYS be negative.
Brian is 6 feet tall and cast a 12 foot shadow. At the same time, Shirley casts a 9 foot shadow. How tall is shirley?
Topher has of a whole pizza. How many 's of a whole pizza are there in of a whole pizza?
Answer:
huh
Step-by-step explanation:
Solve the Answer)Please I need help
Answer:
178 in.
Step-by-step explanation:
14 5/6 times 12= 178 in.
(4-5x)+43=3-32(-82)
please answer!!
Answer:
x = -516
Step-by-step explanation:
(4 - 5x) + 43 = 3 - 32(-82) {Multiply 32 and (-82)}
4 - 5x + 43 = 3 - (-2624)
4 - 5x + 43 = 3 + 2624 {add 4 and 43 in LHS}
-5x + 47 = 2627 {Subtract 47 from both sides}
-5x = 2627 - 47
-5x = 2580 {Divide both sides by (-5)}
x = 2580/(-5)
x = -516
What is the value of 0.3⁴?
A Businessman exchange Nepali currency rupees 660000 INR to US Dollar at the rate of Dollar 1 is equal to INR rupees 110 after 4 days Nepali currency is revaluated by 10% and he has changed the dollars INR to Nepali currency again what is his gain or loss find it
Answer:
Gain = $666.67
Step-by-step explanation:
The businessman exchanged 660000 INR to US Dollar using the exchange rate of $1 = INR 110
Value of the money in dollars is;
(660000 × 1)/110 = $6000
Now, Nepali currency is reevaluated by 10%. This means it's value has gone up by 10%.
Thus, exchange rate of $1 is now;
110 - 10%(110) = INR 99
Thus, 660000 INR to US Dollar using this new exchange rate gives;
(660000 × 1)/99 = $6666.67
Therefore he made a gain.
Gain = 6666.67 - 6000
Gain = $666.67
In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?
Answer:
b = 15
Step-by-step explanation:
Assuming that the question is referring c as the hypothenuse, the Pythegorean theorem states: [tex]a^2+b^2=c^2[/tex].
Thus, [tex]b=\sqrt{c^2-a^2}=\sqrt{17^2-8^2}=15[/tex].
So b is 15.
Answer: b = 15
Step-by-step explanation:
Here, we need to know the formula for the relationship between the three sides of the right triangle: a² + b² = c².
a and b are legsc is hypotenuse--------------------------------------------------------------------
Given
a = 8
c = 17
Solve
a² + b² = c²
(8)² + b² = (17)²
64 + b² = 289
b² = 225
b = √225
b = 15Hope this helps!! :)
Please let me know if you have any questions
a circle has an area of a circle circle of 108 cm squared in the sector intercepts an arc with length 12 cm find the diameter of the circle
Answer:
formula for diameter is π®
Step-by-step explanation:
π
=22/7×108
=
Ola saves $6 each week in her purse , after 6 weeks, she spent all the money she got on 4 times and each time cost the same amount. How much does each time cost?
Answer:
$1.50
Step-by-step explanation:
Divide the 6 dollars by 4 times
$6/4 = $1.50
Select all the statements that describe the expression 5 + 2x. *
The expression represents 5 plus 2 plus x.
The expression represents 5 plus 2 times x
The expression represents 5 plus x plus x.
The expression represents 5 plus x times x.
The expression represents the sum of 5 and 2x
The expression represents the product of 5 and 2x.
What is a digit in the hundredths pace has 1/10 the value of the same digit of the same digit in the tenths pace?
Answer:
4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place. Step-by-step explanation: 1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.