Answer:
The magnitude of the boat's velocity is 5.66 m/s
Step-by-step explanation:
Given;
Radius of curvature of the circular path, r = 40 m
speed of the boat, v = 0.8 t m/s
The magnitude of the boat's velocity when it has traveled 20 m is ?
a = dv / dt,
v = 0.8 t (differentiate with respect to t)
dv / dt = 0.8 = a
thus, a = 0.8 m/s²
If the boat starts from rest, initial velocity, u = 0
Apply kinematic equation, to solve for the boat velocity at 20 m
v² = u² + 2as
v² = 0 + 2 x 0.8 x 20
v² = 0 + 32
v² = 32
v = √32
v = 5.66 m/s
Therefore, the magnitude of the boat's velocity when it has traveled 20 m is 5.66 m/s
Which numbers are the means of the proportion shown below
A. 2 and 30
B 2 and 20
0.3 and 30
D. 3 and 20
Answer:
2 and 30
Step-by-step explanation:
2/3=20/30
2 and 30 means the extremes and 3 and 20 are the means
1. Evaluate (101.5)? - (100.5)
write h(x)=x2-6x + 3 in vertex form
Answer: The vertex form is h(x)=(x-3)^2-6
Step-by-step explanation:
Using the complete the square method, first complete any squares
X^2-6x+(-3)^2-(-3)^2+3
Use the binomial formula
(x-3)^2 - (-3)^2 +3
Simplify
(x-3)^2-6
Can I have some help please? Thanks!
Answer:
(22/7)/6=0.523809
Step-by-step explanation:
V=4/3πr^3
V=4/3π(1/2)^3=π/6
or (22/7)/6=0.523809
cereal is on sale for $3.60 for a 9-ounce box. what is the price per ounce?
Answer:
$0.40 per oz
Step-by-step explanation:
given that the cereal is $3.60 for a 9 oz box
i.e
9 oz ----> costs $3.60
1 oz ----> costs $3.60 ÷ 9 = $0.40
hence the unit rate is $0.40 per oz
Answer:
0.40 per ounce
Step-by-step explanation:
The question asks is to find the unit rate, or price per ounce.
To find this, we need to divide the price by the number of ounces.
price/ ounces
It costs $3.60 for 9 ounces of cereal.
$3.60/9 ounces
Divide $3.60 by 9 (3.60/9=0.4)
$0.4/ounce
It costs $0.40 per ounce of cereal.
A package of 3 pairs of insulated socks costs $20.67. What is the unit price of the pairs of socks?
The unit price is $ per pair of socks.
Please quickly
Answer:
$6.89
Step-by-step explanation:
To find unit price divide the dollar by the amount. The dollar is 20.67. The amount of socks are 3. The equation would then be 20.67/3. Then solve and the answer would be $6.89.
Change the unit of length. 6 ft 2 in. = _____ ft Answer Choices A. 6 1/3 B. 6 1/6 C. 6 1/12 D .6 2/3
Answer:
6 1/6 ft
Step-by-step explanation:
12 inches = 1 ft
So 2 inches is 2/12 of a foot
2/12 = 1/6
6 ft 2 inches = 6 1/6 ft
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (b) Use the possibility diagram to calculate the probability that the product of the two numbers is (i) A prime number (ii) Not a perfect square (iii) A multiple of 5 (iv) Less than or equal to 21 (v) Divisible by 4 or 6
Answer:
this question is roung
A car is traveling at a rate of 100 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
62mph
Step-by-step explanation:
Answer: 250 miles
Step-by-step explanation:
100 kph = 62.5 mph
In 4 hours, the car will travel
62.5 x 4 = 250 miles
how many times do you need to add 5 to 17 to reach the product of 6 and 7
Answer:
5
Step-by-step explanation:
The product of 6 and 7 is 42.
Let x be the number of times needed to add 5 to 17 to reach 42.
17 + 5x = 42
5x = 42 - 17
5x = 25
x = 5
Answer: I’m pretty sure it’s 5
Step-by-step explanation:
Convert 0.396 to a fraction in its simplest form
Question is down below, best answer gets Brainliest! Good luck!
Answer:
976cm^2
Step-by-step explanation:
Surface area:
Ara of cross section x 2 = 1/2 x 2 x 14 x 24 = 14 x 24 = 336
Area of base = 14 x 10 = 140
area of slope x 2 = 25 x 10 x 2 = 500
Total surface area = 500+140+336 = 640 + 336 = 973cm^2
Answer:
976 cm^2
Step-by-step explanation:
Area of triangle: 1/2bh
Area of rectangle b×h
2 Triangular ends 12×14=168 each So 336
2 sides 10×25=250 each So 500
1 base 10×14=140
Add: 140+500+336=976 square centimeters
The given line passes through the points (-4, -3) and (4.
1)
What is the equation, in point-slope form of the line that is
perpendicular to the given line and passes through the
point (-4, 3)?
V-3 -2(x+4)
3-
2-
+
Oy-3 =-{(x+4)
Ov-3 = {(x + 4)
-2
y-3 =2(x + 4)
-3
(-3)
9514 1404 393
Answer:
y -3 = -2(x +4)
Step-by-step explanation:
The slope of the given line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2
The perpendicular line will have slope -1/(1/2) = -2.
__
The point-slope equation of the line with slope m through point (h, k) is ...
y -k = m(x -h)
For point (-4, 3) and slope -2, the equation is ...
y -3 = -2(x +4)
can someone help please
Answer:
11/8 or, 1 and 3/8
Step-by-step explanation:
First, we have to make both the denominators the same. In this case, we can multiply 3/4 by 2, to make 4, the denominator, into 8. What we do to the denominator, we must do to the numerator! So, we multiply 3 by 2, and get 6!
Now we have, 5/8 + 6/8, which equals 11/8! Which can also be simplified to 1 and 3/8 (because the numerator is larger than the denominator)
Hope this helps! :)
if four points are collinear, they are also coplanar
Answer:
Hi there!
The correct answer is: True
Step-by-step explanation:
If there is a line, there are infinite planes that pass through that line, therefore since the 4 points are in a line, they are coplanar .
The sum of x and y is 7. The value of y is three more than the value of x. Write a system of equations to model this.
Answer:
x+y=7
y= x+3
Step-by-step explanation:
i just took the test
The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of x and y is 7. The value of y is three more than the value of x. Then the equation is given as,
x + y = 7 ...1
y = x + 3 ...2
From equations 1 and 2, then we have
x + x + 3 = 7
2x = 4
x = 2
Then the value of the variable 'y' will be given as,
y = 2 + 3
y = 5
The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Write this number using standard notation,
1.5 x 10 to the 6th power
Type the correct answer, then press Enter.
Hey there! :)
Answer:
1,500,000.
Step-by-step explanation:
Convert to standard notation by first deriving the value of 10 to the exponent given:
[tex]10^{6} = 1,000,000[/tex] (6 zeros)
Multiply:
1.5 × 1,000,000 = 1,500,000
Can somebody help me with this ? :)
Answer:
B.
Step-by-step explanation:
A = C = 40°
40+40+ 4x = 180
4x = 100
x = 25°
Which of the following choices is the x intercept of the equation 2y-x=-6
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Given
[tex]2y-x=-6[/tex]
Required
Determine the x intercept
To get the value of x intercept; we simply substitute 0 for y;
i.e. y = 0
[tex]2y-x=-6[/tex] becomes
[tex]2(0)-x=-6[/tex]
[tex]0-x=-6[/tex]
[tex]-x=-6[/tex]
Multiply both sides by -1
[tex]-1 * -x=-6 * -1[/tex]
[tex]x=-6 * -1[/tex]
[tex]x = 6[/tex]
Hence, the x intercept is 6
What else would need to be congruent to show that ABC= A DEF by SAS?
B
E
Given:
AC DF
ZCZE
А
O A. BC = EF
O B. ZCEF
O C. ZAŁ ZD
O D. AC = DF
Answer:
A.
Step-by-step explanation:
BC ≅ EF
BC needs to be congruent to EF to show that ΔABC ≅ ΔDEF by SAS(Side -Angle-Side) Postulate.
The congruence theorem that can be used to prove △LON ≅ △LMN is SSS. ASA. SAS. HL.
Answer:
The correct option is SSS (Side-Side-Side) Theorem
Step-by-step explanation:
The question is incomplete because the diagrams of ΔLON and ΔLMN are not given. I have attached the diagram of both triangles below for better understanding of the question.
Consider the diagram attached below. We have to find the congruence theorem which can be used to prove that ΔLON ≅ ΔLMN
We can see in the diagram that both triangle have a common side that is LN. It means 1 side of both triangles is congruent because LN≅LN
Consider the sides ON and MN. Both side have a single bar on them, which means that it is given that both of these side are congruent. Hence ON≅MN
Consider the sides LO and LM. Both side have a double bars on them, which means that it is given that both of these side are also congruent. Hence LO≅LM
SSS theorem states that if all sides of the triangles are congruent, then the triangles themselves are also congruent, which is the same case in this question
Answer:
D. SSS
Step-by-step explanation:
I hope this helps.
Change each algebraic expression to a verbal expression.
1. A+B = 10
2. 4x - y = a
Answer:
1. A letter, A, added to a letter, B, equals ten.
2. A letter, x, which is multiplied by 4, then has a number, y, subtracted from it to equal a letter, a.
If you try write these out, I'm sure you'd get the algebraic expression given.
What is the range of this function?
Please help with answers A and B :)
Determine whether the geometric series 25 − 5 + 1 − 0.2 ... converges or diverges, and identify the sum if it exists.
Answer:
Converges
Sum = 20.8333
Step-by-step explanation:
A geometric series has a general formula of:
[tex]\sum ar^n[/tex]
Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.
In this particular case, the initial term is a=25, and each term is being divided by -5, or multiplied by -0.2, so the general form would be:
[tex]\sum 25*(-0.2)^n[/tex]
Since 0.2 < 1.0, the series converges.
The sum of the series is given by:
[tex]S=\frac{a}{1-r}\\S=\frac{25}{1-(-0.2)}\\S=20.8333[/tex]
The sum is 20.8333.
The geometric series converges and the sum is equal to 20.83.
What is a Geometric Series ?A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms .
A geometric series has a general formula of:
∑arⁿ
Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.
In this particular case, the initial term is a=25 and each term is divided by -5 or multiplied by (-0.2)
Therefore r = -0.2 and as it is <1 therefore the series converges
The sum of a convergent series is
S = a/(1-r)
S = 25/(1-(-0.2))
S= 25/1.2
S = 20.83
Therefore the sum of the series is 20.83
To know more about Geometric Series
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Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees. Which statement must be true about the diagram? Point K is a midpoint of Line segment J L. mAngleJKN = One-halfmAngleJKM Ray KM is an angle bisector of AngleNKL. JK = One-halfKL
Answer:
Ray KM is an angle bisector of [tex]\angle NKL[/tex].
Step-by-step explanation:
Given that there are 4 lines that are extended from a point K.
Angle between KJ and KN is [tex]58^\circ[/tex] i.e. [tex]\angle JKN =[/tex] [tex]58^\circ[/tex]
Angle between KN and KM is [tex]61^\circ[/tex] i.e. [tex]\angle NKM =[/tex] [tex]61^\circ[/tex].
Angle between KM and KL is [tex]61^\circ[/tex] i.e. [tex]\angle MKL =[/tex] [tex]61^\circ[/tex]
Please refer to the attached image for the conditions and dimensions of angles given in the question statement.
Now, let us have a look at the options given:
1. Point K is a midpoint of Line segment JL
JL is not a straight line first of all, and secondly there is no condition given about the line segments.
So, it is incorrect.
2. [tex]m \angle JKN = \dfrac{1}{2}m \angle JKM[/tex]
[tex]\angle JKN =[/tex] [tex]58^\circ[/tex] and
[tex]m \angle JKM =58+61=139^\circ\\\Rightarrow \dfrac{1}{2} m \angle JKM = 64.5^\circ[/tex]
So, it is also incorrect.
3. Ray KM is an angle bisector of [tex]\angle NKL[/tex].
Ray KM divides the [tex]\angle NKL[/tex] into two equal angles [tex]\angle NKM =[/tex] [tex]61^\circ[/tex] and [tex]\angle MKL =[/tex] [tex]61^\circ[/tex] so it is correct.
Which equation is equivalent to startroot x^2 + 81 EndRoot = x + 10?
Answer:given below
Step-by-step explanation:
sqrt x^2 +81= x + 10
x^2 + 81 = (x+10)^2
x^2 + 81 = x^2 + 20x + 100
so answer is:
x^2 + 81 = x^2 +20x + 100
..HOPE IT HELPS YOU...ALL THE BEST
Answer:
The answer is D on egdge2020
A student walk 60m on a bearing of 028 degree and then 180m due east. How is she from her starting point, correct to the nearest whole number?
Answer: she is 215m from her starting point
Step-by-step explanation:
The diagram representing the situation is shown in the attached photo. Triangle ABC is formed with AC representing her distance from her starting point.
Angle B = 28 + 90 = 118°
To determine AC, we would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b(AC). Likening the expression to the given triangle, it becomes
AC² = AB² + BC² - 2(AB × BC)CosAC
AC² = 60² + 180² - 2(60 × 180)Cos118
AC² = 3600 + 32400 - 21600Cos118
AC² = 36000 - 21600(-0.46947156)
AC² = 36000 + 10140.59
AC² = 46140.59
AC = √46140.59
AC = 215 m
Please help help❤️help me it would mean a lot
Answer:
B. points C, F and G
Step-by-step explanation:
B. Points G C F
Please help thank you
Answer:
D
Step-by-step explanation:
subsitute each of the x and y values for each of the equations and if they both equal each other It is correct.
Answer:
x = 2, y= -1
Step-by-step explanation:
12x - y = 25
9x + y = 17
add both equations to eliminate y
21x = 42
divide by 21
x = 42/21
x = 2
sub x in equation i to find y
12(2) - y = 25
24 - y = 25
-y = 1
therefore y = -1, x = 2