Answer:
S=47.1cm (to 3s.f.)
Step-by-step explanation:
To find the arc length, S, use the formula S=radius x angle(in radians)
S=10x 3pi/2
=47.1cm (to 3s.f.)
A flag has a perimeter of 5 metres. The length of the flag is 600 mm more than the
width of the flag. The length is represented by L and the width is represented by W.
Which of the linear systems in the choices represents the description?
O2L + 2W = 5
L - 600 = W
O2L + 2W = 5000
L - 600 = W
OL+W = 5000
W + 600 = L
O L x W = 5000
L + 600 = W
Answer:
The first two.
Step-by-step explanation:
See that L is 600mm MORE than W.
From there, you can note that L = W+600
or rearrange the formula and get W= L-600
Then, see that the perimeter of a flag is 2L + 2W
(Because there are two four sides to a rectangle, 2 width, 2 length)
It must total to be 5 meters, or 5000mm
Thus,
2L + 2W = 5000
Butter kruse made 522 glaze donuts and 323 chocolate covered donuts. They put the donuts in boxes. Each box holds 12 donuts. How many boxes do they need?
Answer:
71 boxes
Step-by-step explanation:
1. Add 522 (# of glaze donuts) and 323(# of chocolate covered donuts).....845(# of total donuts)
2. Divide 845 by 12(the # of donuts each box could hold)....70.41666(repeating)
3. As you can't have a 0.41666 of a box, you round up 70.4166666 to 71.
71*12=852 70*12=840
Even though 71 boxes is more than enough to hold 845 donuts, there is simply no other choice, as there is no smaller box that holds less than 12 donuts.
Giải các bất phương trình và biểu diễn tập nghiệm trên trục số
(X-1)(x+2)>(x-1)(x-1) +3
Two linear functions are described below.
Function f(x) has the equation f(x)=3x−4.
Function g(x) has the table of values shown below.
x g(x)
0 4
3 5
6 6
9 7
Which statement is true regarding the functions f(x) and g(x)?
A
The slopes of the two functions are the same.
B
The slopes of the two functions are opposites.
C
The y-intercepts of the two functions are the same.
D
The y-intercepts of the two functions are opposites.
Answer:
D
The y-intercepts of the two functions are opposites.
Step-by-step explanation:
f(x) = 3x-4 which has a slope of 3 and a y intercept of -4
g(x)
m = (5-4)/(3-0) = 1/3
g(x) = 1/3 x +4
g(x) has a slope of 1/3 and a y intercept of 4
Find the measure of a.
Answer:
a is 44 degree
Step-by-step explanation:
what fraction of these houses have seven rooms
Answer:
9/50
Step-by-step explanation:
18 % have 7 rooms
18 % means 18 out of 100
18/100
Divide top and bottom by 2
9/50
a bag contains 10 playing cards . 7 of which are Black and 3 Red . Two cards are drawn one after the other from the bag without replacement. A. Find the probability that a Red and a Black cards were drawn.
Number of red balls =3
Number of black balls =7
Total number of balls =10
Let ,P(A)= Probability that first is red
P(B)= Probability that second is red
If second is red, there are 2 possible ways
Either first is red and second is red.
Or first is black and second is red.
So,
P(B)=
10
3
C
1
×
9
2
C
1
+
10
7
C
1
×
9
3
C
1
=
90
6
+
90
21
=
90
27
=
10
3
Probability that first is red, given second is red
P(A/B)=
P(B)
P(A∩B)
=
10
3
10
3
C
1
×
9
2
C
1
=
10
3
90
6
=
90
6
×
3
10
=
27
6
=
9
2
Translate the following phrase into an algebraic expression. use the variable n to represent the number. 4 less than triple a number
Work Shown:
n = a number, aka a placeholder for a number
3n = triple a number
3n-4 = four less than triple a number
So whatever n is, we multiply by 3 and then subtract off 4.
As an example, if n = 12, then 3n-4 = 3*12-4 = 36-4 = 32.
Help me please, asap
Answer:
k = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
X| 1 2 5 10 30
Y| 3 6 15 30 90
applications of rational numbers
Step-by-step explanation:
Rational numbers are real numbers which can be written in the form of p/q where p,q are integers and q ≠ 0. We use taxes in the form of fractions. When you share a pizza or anything. Interest rates on loans and mortgages.
Hope it helps you
Mark my answer as brainlist
have a nice day
. She lets numbers from 1 to __ represent defective batteries, and __ to __ represent working batteries. She generates this list: 120, 413, 472,564, 38, 266, 344, 476, 486, 177, 26, 331,358,131,352, 227, 31, 253, 31, 277
Answer:
Since 50 out of the 600 batteries are defective, She lets numbers from 1 to 50 represent defective batteries, and 51 to 600 represent working batteries
~OAmalOHopeO~
Solve.
Sy= 2x - 6
4x – 2y = 14
Use the substitution method
Answer:
14.4 i hope it helped you
Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn $40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system.
Answer:
Commercials x = 7
Movies y = 2
Step-by-step explanation:
Let commercials = x
Let's movies = y
$40 is for commercials
$110 is for movies.
Commercials plus movies for the Year = 9
She earned total of $500
X+ y = 9..... equation 1
40x + 110y = 500.... Equation 2
Multipling equation one by 40
40x + 40y = 360
Subtracting equation one from equation 2
70y = 140
Y = 2
If y = 2
X + y = 9
X + 2 = 9
X = 9-2
X = 7
John walked from town A to Town B at a uniform speed of 4km/hr.When he reached town B ,he was turned back immediately and he walked back to town A along the same road at a uniform speed of 6km/hr.What is his average speed for the whole trip?
Answer:
His average speed for the whole trip is 5km/hr
Step-by-step explanation:
Answer:
4.8 km/hr
Step-by-step explanation:
Assume that the distance is 24 km (evenly divisible by 4 & 6)
then the A-B time would be 24/4 or 6 hrs.
on the return the time would be 24/6 or 4 hrs.
total time 10 hrs total distance 48 km....
48/10 = 4.8 km/hr
Which correlation best describes the data below.
Answer:
weak positive
Step-by-step explanation:
weak because the line of best fit (the line passes through all points and used to express the relationship between them) doesn't pass through all ponts here.
positive because the values of data points are rising throughout the graph.
What is the factor of
[tex] {x}^{4} - x[/tex]
Plz
How would you display a set of data graphically?
Answer:
with a graph or stem chart. there are various possibilities search it up!!
Step-by-step explanation:
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
g(x) = (x + 9)2 + 4
g(x) = (x + 9)2 − 4
g(x) = (x − 4)2 + 9
g(x) = (x + 4)2 + 9
Answer:
The function that represents g(x) is the third choice: g(x) = (x − 4)^2 + 9
Step-by-step explanation:
The original function has been shifted 9 units up (a vertical transformation). To show a vertical transformation, all we have to do is either add or subtract at the end of the function.
To show a shift upwards, we add the value of change.
To show a shift downwards, we subtract the value of change.
In this case, the original function f(x) = [tex]x^{2}[/tex] was translated 9 units up. Since we shifted up, we simply add 9 to the end of the function: g(x) = [tex]x^{2}[/tex] + 9
The original function has also been shifted 4 units to the right. This is a horizontal transformation. To show a horizontal transformation, we need to either add or subtract within the function (within the parenthesis).
To show a shift to the left, we add the value of change.
To show a shift to the right, we subtract the value of change.
*Notice: Moving left does NOT mean to subtract while moving right does NOT mean to add. The rules above are counterintuitive so pay attention when doing horizontal transformations.
In this case, the original function f(x) = [tex]x^{2}[/tex] was translated 4 units to the right. Since we shifted right, we must subtract 4 units within the function/parenthesis: g(x) = [tex](x-4)^{2}[/tex]
When we combine both vertical and horizontal changes, the only equation that follows these rules is the third choice: g(x) = (x − 4)^2 + 9
Answer: C
Step-by-step explanation:
prove sin^2 π/6 + cos^2 π/3 - tan^2 π/4 = -1/2
=(
2
1
)
2
+(
2
1
)
2
−1
2
=
2
−1
Therefore, L.H.S = R.H.S
x^3 -2mx^2 +16
(x+2)
PLS ANSWER FAST
I WILL MARK YOU THE BRANLIEST
Find the indicated side of the
right triangle.
45°
y
6
45°
Answer:
6
Step-by-step explanation:
tan 45 = 6 / x
1 = 6 / x
x = 6
Note :
Tan 45 value = 1
Answer:
x=6
Step-by-step explanation:
Since this is an isosceles triangle, the sides must be equal next to the base angles that are equal
x=6
Find the sum of the infinite geometric series.
2- 2/3+ 2/9 -2/27+...
Answer:
3/2
Step-by-step explanation:
[tex]2-\frac{2}{3} +\frac{2}{9} -\frac{2}{27} +...\\r=\frac{-\frac{2}{3} }{2} =-\frac{1}{3} ,|r|<1\\s_{\infty}=\frac{a}{1-r} \\=\frac{2}{1+\frac{1}{3} } \\=\frac{2}{\frac{4}{3} }\\ =\frac{3}{2}[/tex]
i would like if someone helped me with this.
Answer:
the answer is to the question is b
Answer:
(-1.5,9)
Step-by-step explanation:
In second quadrant the x- component is negative where as y- component is positive
find the surface area of each figure. Round to the nearest tenth if necessary.
Area of Rectangular prism = 2(wl+hl+hw)
Height = 9ft
Width = 11ft
Length = 12ft
Area = 2(11(12) + 9(12) + 9(11))
Area = 678ft²
Must click thanks and mark brainliest
Answer:
678 ft^2.
Step-by-step explanation:
The surface area consists of 3 pairs of congruent rectangle.
= 2(9*12 + 11*12 + 9*11)
= 2 * 339
= 678.
whats the area in square inches
Answer:
Area of triangle =1/2b×h
1/2×10×8.7
=44 square inches
Answer:
44
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
where b is the base and h is the height
A = 1/2 (10) (8.7)
A= 43.5
Rounding to the nearest whole number
A = 44
If carina can ride her bike at a speed of 7 mph, it will take her 3 hours to travel 21 miles. True or false?
Answer:
True
Step-by-step explanation:
We know that distance = rate * time
21 miles = 7 miles per hours * 3 hours
21 miles = 21 miles
True
Find an equation in slope-intercept form of the line that has slope –7 and passes through point A(8,-4)
a.) y = 52x + 7
b.) y = 7x + 52
c.) y = -7x - 52
d.) y = -7x + 52
Answer:
y = -7x + 52
Step-by-step explanation:
y = -7x - b
-4 = -7(8) + b
-4 = -56 + b
52
x423-2
Which expression is equivalent to log12
-?
(x+1)
O 410g,2x+ 2logi z(x2 – 2)- 5logiz(x: 1)
O 410912x+ žlog12. - 5log,2x+log421
o (x2
log124x+10912(x - 2)-510912(x)+1
4109,2x+ 3 109126x - 2)- 5log12(x + 1)
Answer:
D
Step-by-step explanation:
log(x^4*sqrt(x^3-2)/(x+1)^5)=log(x^4)+log(sqrt(x^3-2))-log((x+1)^5)
=> 4log(x)+(1/2)*log(x^3-2)-5log(x+1)
Find the value of m if x + m is a factor of x^2 - 5mx + 3
Answer:
+or- sqrt(3/4)
Step-by-step explanation:
If x + m is a factor, that means that when x = -m the equation equals 0. Sub -m into x
0 = (-m)^2 - 5m(-m) + 3
0 = m^2 - 5m^2 + 3
0 = -4m^2 + 3
Factorise
0 = -4(m^2 - 3/4)
0 = -4(m + sqrt(3/4))(m - sqrt(3/4))
:. m = +or- sqrt(3/4)
Decide whether the graphs of the two equations are parallel. y=3x+8 and y/3-3=x
Answer:
Equation #1:
[tex]y = 3x + 8[/tex]
Equation #2:
[tex]\frac{y}{3} -3=x\\\\\frac{y}{3}=x+3\\\\y=3(x+3)\\\\y=3x+9[/tex]
Parallel equations have the same slope. Since both share the same slope of 3, they're parallel.