Answer:
Mass = 1.3 Kilograms.
Step-by-step explanation:
Given the following data;
Force = 55.1 N
Acceleration = 41.6 m/s²
To find the mass of the stone in kg;
Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.
Mathematically, it is given by the formula;
Force = mass * acceleration
Substituting into the formula, we have;
55.1 = mass * 41.6
[tex] Mass = \frac {55.1}{41.6} [/tex]
Mass = 1.3 Kilograms
What else would need to be congruent to show that ABC= DEF by ASA?
B
E
10
10
45
A
с
45
F
O A. ZBE ZE
B. AC = DF
C. ZA ZD
O D. BC = EF
Answer:
Option A
then you would have an angle, a side and another angle (ASA) next to each other
Opt.B would be a second sude (SAS)
Opt.C is already given
Opt.D seems to be like (A-S-S). no pun intended.
The additional information need to be added to show the given triangles congruent is angle B = angle E
What are congruent triangles?Triangles are said to be congruent if their corresponding sides and angles are congruent.
Given is a pair of triangles, Δ ABC and Δ DEF, in this angle A = angle D and AB = DE = 10,
We need to find one more reason to make them congruent by ASA rule,
In ASA rule of congruence, we have two corresponding angles congruent in the triangles and a side between them need to be congruent,
Here, the pair of two angles should be ∠ A and ∠ D and ∠ B and ∠ E, because the congruent sides AB and DE are in mid of them.
Hence, the additional information need to be added to show the given triangles congruent is angle B = angle E
Learn more about triangles congruent click;
https://brainly.com/question/22062407
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9 2/5-3 4/10
yo anyone have the answer
Answer:
6
Step-by-step explanation:
9 and 2/5 is the equivilent to 9 and 4/10
9 4/10 - 3 4/10 = 6 0/10
the width of a rectangle is 2 inches less than its length , and the area is 35 sqaure inches. what are thd length and width of the rectangle
Answer:
length: 7in.
width: 5in.
Step-by-step explanation:
so we know that 7*5 is 35 yes? since we already know the area, which is just l*w, and that 5 is two less that 7, we can conclude that the length is 7 and the width 5
hope this helps! lemme know if you need more
Tính :
a) (a+b+c)^2
b) (a-b-c)^2
c) (a+b-c)^2
d) (a-b+c)^2
Answer:
a.) a² + b² + c ² + 2ab + 2ac + 2bc
b.) a² + b² + c² - 2ab - 2 ac + 2bc
c ) a² + b² + c² + 2ab - 2ac - 2bc
d.) a² + b² + c² - 2ab + 2ac - 2bc
Step-by-step explanation:
Use ( a + b + c )² = a² + b² + c² + 2 × ab + 2 × ac + 2 × bc to expand all these expressiona) ( a + b + c )²
= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc
= a² + b² + c ² + 2ab + 2ac + 2bc
b.) ( a - b - c )
= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)
= a² + b² + c² - 2ab - 2 ac + 2bc
c.) ( a + b - c )²
= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)
= a² + b² + c² + 2ab - 2ac - 2bc
d.) (a - b + c ) ²
= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)
= a² + b² + c² - 2ab + 2ac - 2bc
TRUE FALSE?
When we divide fractions we change the division sign to a multiplication sign and flip, or take the reciprocal, of the second fraction.
Does the set of numbers form a Pythagorean triple? Explain.
Explanation:
Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.
Find the solution to the system of equations x = -6 + 2y and x = 2y + 2.
x=-6+2y
x=2+2y
by subtraction
___________________________
x=-8
Substitute x by one of the two equations :
x=-6+2y
-8=-6+2y
2y=-8+6
2y=-2
y=-2/2
y=-1
I think this is the answer
I hope I helped you^_^
Consider angle θ in Quadrant II, where cosθ=−12/13. What is the value of sinθ?
Answer:
The value of sin theta is 5/13
Step-by-step explanation:
In the second quadrant, sin is positive and cos is negative
Cos theta = -12/13 = adjacent/hypotenuse
Sin theta = opposite/hypotenuse
opposite = sqrt(hyp² - adj²) = sqrt (13² - 12²) = sqrt (169 - 144) = sqrt (25) = 5
Sin theta = opposite/hypotenuse = 5/13
How many sides do 2 hexagons and 2 pentagons have in all?
Answer:
22 sides total
Step-by-step explanation:
a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.
[tex]2(6)+2(5)=\\12+10=22[/tex]
find the volume of this cone. round to the nearest tenth. l=10 r-6
Answer:
376.8
Step-by-step explanation:
Formula Volume Cone = πr² * h/3
Volume = 3.14 * 36 * 3 1/3
Volume ≈ 376.8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: 301.6
-------------------
answer above isn't right this is, trust me.
Does 12, 24, 36 form a right triangle?
Answer:
no bc pythagorean
Step-by-step explanation:
identify the solution to the following system of equations: 2x + 5y = 14 and x + 2y = 5
Answer:
(-3, 4)
Step-by-step explanation:
yeah
Which of the following sets of numbers could not represent the three sides of a right triangle?
Answer:
25, 32, 40 can not form a right angle triangle.
Step-by-step explanation:
By Pythagoras theorem,
⇒ (40)² = (25)² + (32)²
⇒ 1600 = 625 + 1024
⇒ 1600 ≠ 1689
Answer:
option b
Step-by-step explanation:
according to the pythagoras theorem to be right angled triangle the sum of square of two smaller sides must be equal to the square of hypotenuse.
so ,
20 and 21 are smaller sides and hypotenuse be 29
pythagoras theorem
a^2 + b^2 = c^2
20^2 + 21^2 = 29^2
400 + 441 = 841
841 = 841 (since both sides are equal it forms right angled triangle)
25 and 32 are smaller sides and 40 be hypotenuse
a^2 + b^2 = c^2
25^2 + 32^2 = 40^2
625 + 1024 = 1600
1649 = 1600 (both sides are not equal so it does not form right angle triangle)
30 and 72 are smaller sides whereas 78 is hypotenuse
a^2 + b^2 = c^2
30^2 + 72^2 = 78^2
900 + 5184 = 6084
6084 = 6084 (since both sides are equal it forms right angled triangle )
32 and 60 are smaller sides and 68 is hypotenuse
a^2 + b^2 = c^2
32^2 + 60^2 = 68^2
1024 + 3600 = 4624
4624 = 4624 (since both sides are equal it forms right angled triangle )
Given: AD diameter of Circle P. If m 1 = 40°, then m AB = A)80 B)40 C)20
Answer:
20
Step-by-step explanation:
lol
Answer:
20
Step-by-step explanation:
PLSSSS HELP fast pls !!
Answer:
16p^2 - 9
Step-by-step explanation:
Use FOIL method of multiplication
Complete the proof. PROVE:△VWY≅△UXY
Answer:
D.) SAS or Side angle Sideosjdjaidbsojaanod
Please help thanks! Please put answer is square millimeters
Answer: 239
Step-by-step explanation:
3x7=21
(16+5)x16=336, 336/2=168
5x10=50
add them all together to get 239
hope this helps!
N is a number such that N ÷ 18= 16. What is the value of N?
Answer:
288 po
Step-by-step explanation:
288 divided by 18 is 16
The function of f is defined by f(x)=x²-2x-24, find the range of f
Answer:
[-25, ∞) , {y|y ≥ -25}
Step-by-step explanation:
^^^
What are the more appropriate measures of center and spread for this data set?
Select two choices: one for the center and one for the spread.
A. Better measure of spread: the standard deviation
B. Better measure of center: the mean
C. Better measure of center: the median Pan
D. Better measure of spread: the interquartile range (IQR)
Answer:
C. Better measure of center: the median
D. Better measure of spread: the Interquartile range
Sam needs to find the circumference of a circle with a diameter of 24 inches. He uses a calculator to find the circumference. Which answer is reasonable?
72.013678 in
75.398223 in
85.335372 in
80.332161 in
Answer:
75.398223
Step-by-step explanation:
Circumference Formula: 2πr or dπ ⇒ r=radius and d=diamater
1.) π≈3.14
2.) 24×3.14=75.36
Joshua wants to buy a flat-screen TV that’s costs $625.he save $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
Answer:
in 10 weeks because if you multiply 62.50 10 times you get 625
Answer:
The answer is 10
I hope this helps
CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THANK YOU.
Answer:
8 5/18
Step-by-step explanation:
3 5/6 + 4 4/9
Get a common denominator of 18
3 5/6*3/3 = 3 15/18
4 4/9 * 2/2 = 4 8/18
3 15/18 + 4 8/18
7 23/18
7 + 18/18 + 5/18
7+1+5/18
8 5/18
Answer:
[tex]8\frac{5}{18}[/tex]
Step-by-step explanation:
[tex]3\frac{5}{6} +4\frac{4}{9}[/tex]
6 = 2 × 3
9 = 3 × 3
LCM of 6 and 9
LCM = 2 × 3 × 3
LCM = 18
[tex]3\frac{15}{18} +4\frac{8}{18}[/tex]
[tex](3+4)+(\frac{15}{18} +\frac{8}{18})[/tex]
[tex]7+\frac{15+8}{18}[/tex]
[tex]7+\frac{23}{18}[/tex]
[tex]7+1\frac{5}{18}[/tex]
[tex]8\frac{5}{18}[/tex]
Prove that root 2 as irrational number
I would like to see the answer for number one. You don't need to solve the rest.
Answer:3/4
Step-by-step explanation:
tan^2+1=sec^2
Find the value of the angle θ rounded to 1 DP.
The diagram is not drawn accurately
Answer:
Find length opposite to 30deg
Opposite = tan(30)*42
= 24.2
Whole side = 24.2+10
Find angle of 0 + 30deg: (say x)
Tan(x) = 33.2/42
Arctan(0.79) = x
x = 38.3
The angle to find:
38.3-30:
8.3
The angle is 8.3deg.
What is the slope of the line? − 3 x + 5 y = 2 x + 3 y
Answer:
m=5/2
Step-by-step explanation:
just did
Divide the product of 11 1/5 and 47 by the difference of 6/45 and 1/10
steve earns extra money babysitting , he charges $27.00 for 4 hours and $47.25 for 7 hours. enter an equation to represent the relationship . let x represent the numbers of hours Steve babysits and y represent the amount he charges
Answer:
y=6.75x
Step-by-step explanation:
he xharges 6.75 per hour, so 6.75x equals the total price, y
15 POINTS!!! Please please help out!!! If you can!! I have other things on my account worth a lot of points so if you can help out that would be so helpful
Answer:
The maximum is -3
and the third one -3<f(x)≤ -3
Step-by-step explanation:
Let's start by expanding the exponent
-(x+7)²= -(x²+14x+49)= -x²-14x-49
simplify
-x²-14x-49-3= -x²-14x-52
To find the maximum/minimum take the first derivative
-x²-14x-52= -2x-14
set this equal to 0
-2x-14= 0
x= -7
We then plug in x= -7 into the equation to find the y value
Because the coeficcent for the degree is negative (it's -1) this is a maximum
-(-7+7)²-3 = -3
Because -3 is the highest point the graph's range is -∞<f(x)< -3
Therefore the maximum i