Answer:
$29
Step-by-step explanation:
You divide 2.5 by 100 the you multiply that by 725 and sense its months it would be converted to 1.6 so you multiply 725 1.6 and the answer to 2.5 divide by 100
The table shows the favourite colour of 400 people.
Colour
Frequency | Angle in
Red
100
Blue
100
Green
150
Yellow
50
Complete the table and draw a pie chart
to represent this information.
Note: Please draw your pie chart in a 'clockwise' direction from the line already drawn
and follow the order from the table (Red, then Blue etc...).
The favourite colours represent the following angles: red (90°), blue (90°), green (135°) and yellow (45°).
Rule of Three
It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.
Here you can apply the rule of three for finding the angle of each frequency. The total of people (400) represents the total angle of a circumference which is 360°.
For colour - red400 ----------- 360°
100 ------------ r
400r=360*100
400r=36000
r=36000/400
r=90°
For colour - blue400 ----------- 360°
100 ------------ b
400b=360*100
400b=36000
b=36000/400
b=90°
For colour - green400 ----------- 360°
150------------ g
400g=360*150
400g=54000
g=54000/400
g=135°
For colour - yellow400 ----------- 360°
50------------ y
400y=360*50
400y=54000
y=18000/400
y=45°
Read more about the rule of three here:
brainly.com/question/24514897
#SPJ1
A single card is drawn from a standard 52 card deck.
Work out the probability of choosing "a spade"
Answer: [tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
A standard 52 card deck includes spades, clubs, hearts, and diamonds.
13 card of each category is present
So, there are 13 spades present in the deck
Probability is the ratio of favorable to the total outcomes.
[tex]\therefore P=\dfrac{13}{52}\\\\\Rightarrow P=\dfrac{1}{4}[/tex]
Pls help and find the area
Answer:
I don’t know the area but here’s a hint to help you (hint: length x with x height)
Step-by-step explanation:
Given m | n, find the value of x.
m
n
68
(6x+8)
Answer:
As 6x+8 = 68
=> x = 10
Hope it helps
By question it's given that m || n . So here we can use the properties of parallel lines . One of them which we will use here is ,
corresponding angles are equal .Here the two given angles are corresponding angles hence they will be equal. We create them in order to find the value of x.
[tex]\sf\implies 68^o = 6x + 8^o \\\\\\\sf\implies6x = 68^o - 8^o\\\\\sf\implies 6x = 60^o \\\\\\\sf\implies x = 60^o/6 \\\\\\\sf\implies \boxed{\red{ \sf x = 10^o }}[/tex]
Hence the value of x is 10° .
What are the first three terms of the sequence defined by the recursive function an = an-1-(an-2-4), when a5 =-2 and a6 = 0?
-14, 14,- 4
6, 10,8
-2 0,2
2, 8, 10
Answer:
6, 10 and 8
Step-by-step explanation:
Given the recursive function an = an-1-(an-2 - 4), when a5 =-2 and a6 = 0?
a6 = a5 - (a4 - 4)
0 = -2 - (14 - 4)
2 = - (a4 - 4)
-2 = a4 - 4
a4 = -2 + 4
a4 = 2
a5 = a4 - (a3 - 4)
-2 = 2 - (a3 - 4)
-2-2 = - (a3 - 4)
-4 = -(a3 - 4)
4 = a3 - 4
a3 = 4+4
a3 = 8
Also
a4 = a3 - (a2 - 4)
2 = 8 - (a2 - 4)
2-8 = - (a2 - 4)
-6 = -(a2 - 4)
6 = a2 - 4
a2 = 6+4
a2 = 10
a3 = a2 - (a1 - 4)
8 = 10 - (a1 - 4)
8-10 = - (a1 - 4)
-2 = -(a1 - 4)
2 = a1 - 4
a1 = 2+4
a1 = 6
Hence the first 3 terms are 6, 10 and 8
Answer:
C. 6, 10, 8
Step-by-step explanation:
i took the test
The eqution of the diagonal of a parallelogram is 3y=5x +k. The two opposite vertices of a parallelogram are the points (1,-2), (-2,1).Find the value of k
Answer:
[tex]k = 1[/tex]
Step-by-step explanation:
Given
[tex]3y = 5x + k[/tex]
Opposite points: [tex](1,-2)[/tex] and [tex](-2,1)[/tex]
Required
Find k
First, calculate the midpoint of the opposite points.
[tex](x,y) = 0.5(x_1 + x_2,y_1 + y_2)[/tex]
This gives:
[tex](x,y) = 0.5(1 -2,-2 + 1)[/tex]
[tex](x,y) = 0.5(-1,-1)[/tex]
Open bracket
[tex](x,y) = (-0.5,-0.5)[/tex]
The equation [tex]3y = 5x + k[/tex] becomes:
[tex]3 * -0.5 = 5 * -0.5 + k[/tex]
[tex]-1.5 = -2.5 + k[/tex]
Solve for k
[tex]k = 2.5-1.5[/tex]
[tex]k = 1[/tex]
4. Find both solutions by (
:): x^2 + 6x + 5 = 0
Answer:
x1 = -5 and x-2 = -1
Step-by-step explanation:
hope this helps
Answer:
x = - 1, - 5
Step-by-step explanation:
Find the remaining volume of the cube with the cone removed.
What is the value of y?
y + 35 = ( y ) + ( y - 31 )
y + 35 = 2y - 31
Add both sides 31
y + 35 + 31 = 2y - 31 + 31
y + 66 = 2y
Subtract both sides y
y - y + 66 = 2y - y
y = 66
Julio says if you subtract 15 from my number and multiply the difference by -2 the result is -36 what's julio's number
new one i need help with this one
Answer:
10
Step-by-step explanation:
Correct me if I’m wrong it’s been a while but I think u add 3 + 3 + 2+ 2
Answer:
It is 10
Step-by-step explanation:
In order to do perimeter you need to add each corners value, in this case a to B is one side and A to D is another, in order to get from A to B you have to walk 3 units, so their is our first part, now for the second you need to walk from point a to point D which if you do it will be 4 units.
Now we have 2 numbers, 4 and 3, We still have the other side but it will be the same, so you will do 4+4 and 3+3, in this case it will be 8+6 so the answer should be 14. I might be wrong.
Find the volume and surface area of a rectangular box 3 ft by 1.2 ft by 6 ft The volume is 21.621.6 cubic feet. (Round to the nearest tenth as needed.) The surface area is nothing square feet. (Round to the nearest integer as needed.)
Answer:
Volume = 21.6 ft³
Area = 58 ft²
Step-by-step explanation:
(1)
Applying,
V = lwh......................... Equation 1
Where V = Volume of the rectangular box, l = length of the box, w = width of the box, h = heigth of the box.
From the question,
Given: l = 3 ft, w = 1.2 ft, h = 6 ft.
Substitute these values into equation 1
V = 3×1.2×6
V = 21.6 ft³
(2)
Applying
A = 2(lw+lh+wh)............. Equation 2
Where A = surface area of the box
Also substituting into equation 2
A = 2[(3×1.2)+(3×6)+(1.2×6)]
A = 2(3.6+18+7.2)
A = 2(28.8)
A = 57.6 ft²
A = 58 ft²
please help ill give brainlist!
Answer:
[tex]y = 12 \tan(30 \degree ) \\ y = 6.92[/tex]
[tex]x = \frac{12}{ \cos(30 \degree) } \\ x = 13.8[/tex]
[tex] \small{ \star{ \underline{ \blue{becker}}}}[/tex]
Help me please I don’t understand eee
R=( − 2 , 2 ) , ( 2 , − 2 ) , ( − 4 , 4 ) , ( 4 , − 4 ) is r a function?
Answer:
Step-by-step explanation:
The four inputs (x-coordinates) are {-2, 2, -4, 4}. No input appears more than once. Therefore this seet of points represents a function.
Anthony needed to complete some complex tricks in order to win the 17 and Under State Skate Boarding Championship in Orlando FL. In an attempt to complete a McTwist (a 540-degree burni performed on a cap) and to maximize his air time, Anthony rode his skateboard up a specially designed one of a kind ramp. Unfortunately, he did not make it to the other side of the ramp and crashed his skateboard. His height zoove the ground in feet is a function of his horizontal position from the top of the ramp, also measured in feet The function that relates his height to his distance is h(x)=-x²+2x+8. How far above the ground is the top of the ramp? F a b. How far away from the ramp was Anthony at his maximum height What is his maximum height? C. At his highest point, how high was he above the top of the ramp? d Whea bestemowlad het veled horizontal?
Answer:
did you get the answer yet I have the same question
Answer: a. 8 feet
the first question in part b is 1 and the second part is 9. ( or you could just put 1,9) c. 1 foot taller d. -2 and 4
Step-by-step explanation: you get answer A by looking at the C- value of the equation( in this case it’s 8)
you get the first answer to B by using the axis of symmetry formula -b/2(a) and that equals 1. You get the second answer to B by plugging in 1 into the equation..solve and get 9. So your answers in total should be (1,9)
For part C all you do is subtract the top of the ramp.. which is 8 from your vertex. in other words you do 9-8 and get 1 as your answer for C
Lastly, for D you use the quadratic formula ( or use photo math) and get answers -2 and 4.
If you’re also having problems on part E .. all you have to do is place a dot at point -2, place dot at point 4, place a dot at 8 on the Y AXIS, then place a dot at point (1,9) lastly, connect the dots with a line and the graph should look like an upside down U or V( whatever you think it looks like)
I hope this helped you guys!!
find the volume of the cone above in terms of pi
Susan makes $22 per hour in a clerical position. If she works 30 hours per week, what is her gross
weekly income?
$2,640
$500
$600
$660
AADE and AABC are similar. Which best explains why the slope of the line between
points A and D is the same as the slope between points A and B?
The triangles are similar, so the sides are proportional:
AE = AC and DE = BC. Therefore, De = BC, so the slope of
AD is the same as the slope of AB.
Points A, D and B are on the hypotenuses of similar triangles.
Therefore, AD = AB, so the slope of AD is the same as the
slope of AB
The triangles are similar, so the sides are proportional:
DE = BC. Therefore, the slope of AD is the same as the slope
of AB
AE C
The triangles are similar, so the sides have equal lengths.
Therefore, AD = DB, so the slope of AD is the same as the
slope of AB
Answer:
(c) The triangles are similar, so the sides are proportional: DE = BC. Therefore, the slope of AD is the same as the slope of AB
Step-by-step explanation:
Given
See attachment for proper format of question
Required
Why is the slope between A and D the same
From the question, we understand that:
[tex]\triangle ADE[/tex] and [tex]\triangle ABC[/tex] are similar
This implies that similar sides are proportional.
i.e.
[tex]AD \to AB[/tex]
[tex]AE \to AC[/tex]
[tex]DE \to BC[/tex]
Slope (m) is calculated as:
[tex]m = \frac{Rise}{Run}[/tex]
So, the slope of [tex]\triangle ADE[/tex] is:
[tex]m = \frac{DE}{AE}[/tex]
Slope of [tex]\triangle ABC[/tex] is:
[tex]m = \frac{BC}{AC}[/tex]
Since the triangles are similar, then:
[tex]m = m[/tex]
i.e.
[tex]\frac{DE}{AE} = \frac{BC}{AC}[/tex]
Hence, (c) is true
Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?
Answer:
3245$ (im assuming the interest is yearly)
Step-by-step explanation:
using the is/of method
3% x
___ ___ cross mult and divide. = 82.5 interest x 6 years of it
100 2750
2750 + 495
Recently, Caroline purchased a BBQ grill to use this summer. The cost of the grill was $390 and sales tax
in her city is 7.4%. What is the amount of sales tax that Caroline will pay for the grill? Sales tax =
What is the total cost of the grill, including sales tax? Total cost of the grill =
hi
Sales taxes = 390 *0.074 = 28.86
Total cost : 390+28.86 = 418.86
Which expression is equivalent to the one below? 6÷9 A. 9.1/6 B. 6.1/9 C. 54 D. 9/6
Answer:
None
Step-by-step explanation:
6÷9=0.666...
9.1÷6=1.5166..
6.1÷9=0.6777...
54 is 54
9÷6=1.5
So none are equal
Answer:
the answer is 6 × 1/9
Step-by-step explanation:
6÷ 9 = 0.666
9 × 1/6 = 1 1/2
6 × 1/9 = 2/3 same as 0.666
54 = 54
9/6 = 1.5
hello please help i’ll give brainliest
Answer:
Living
Step-by-step explanation:
she had a shoe box full of 5 cents 6 cents and 7 cents what totals could she make and what totals were impossible
Use the table of trigonometric ratios to find sin 24 degrees
Answer: 0.40673664307
Step-by-step explanation:
Josh is a car salesman. He gets an annual salary of $45,000 plus a commission, C, of $250 for every car he sells. Which equation represents Josh's total annual salary, S?
A. S=45,000+250C
B.S=45,000−250C
C. S=45,000C+250
D. S=45,000C−250
what is 30 tens in hundreds
Answer:
300
Step-by-step explanation:
each ten is worth 10 so 10x30+ 300
plz mark brainliest
x^2 = 1/100, what is x
X in (-oo:+oo)
X^2 = 1/100 // - 1/100
X^2-(1/100) = 0
X^2-1/100 = 0
1*X^2 = 1/100 // : 1
X^2 = 1/100
X^2 = 1/100 // ^ 1/2
abs(X) = 1/10
X = 1/10 or X = -1/10
X in { 1/10, -1/10 }
Name 4 fractions that are between 1/5 and 1/7
Answer:
21/240, 22/140, 23/140, 24/140
Step-by-step explanation:
7 and 5 have a common multiple of 140 and
140/7=20 20/140
140/5=28 28/140
21-27 are all numbers b/w 20 and 28
Answer:
21/140, 22/140, 23/140, 24/140
7 and 5 = common multiple of 140.
140/7 = 20 , 20/140
140/5 = 28, 28/140
21, 22, 23, 24, 25, 26, and 27 are the numbers between 20 and 28.
Fatima told her grand children if i give 2 toffees each of you i am left with 3 toffees.But if i try to give 3 toffees each of you i face a short of 3 tofees.How many grand children does fatima have?
Answer:
6
Step-by-step explanation:
two equations can be derived from the question
y - 2x = 3 equation 1
y - 3x = -3 equation 2
y = number of toffees
x = number of children
subtract equation 2 from 1
x = 6