Step-by-step explanation:
The formula of a circumference of a circle with radius r:
[tex]C=2\pi r[/tex]
Solve for r:
[tex]2\pi r=C[/tex] subtitute [tex]\pi\approx\dfrac{22}{7}[/tex]
[tex]2\cdot\dfrac{22}{7}r=C[/tex]
[tex]\dfrac{44}{7}r=C[/tex] multiply both sides by 7
[tex]44r=7C[/tex] divide both sides by 44
[tex]r=\dfrac{7C}{44}[/tex]
Substitute the values of the circumference from your question:
[tex]i.\ C=88cm\\\\r=\dfrac{7\cdot88}{44}=\dfrac{7\cdot2}{1}=12(cm)\\\\=================[/tex]
[tex]ii.\ C=1.4m\\\\r=\dfrac{7\cdot1.4}{44}=\dfrac{9.8}{44}=\dfrac{98}{440}=\dfrac{49}{220}(m)\\\\====================[/tex]
[tex]iii.\ C=16m\\\\r=\dfrac{7\cdot16}{44}=\dfrac{7\cdot4}{11}=\dfrac{28}{11}(m)\\\\=================[/tex]
[tex]iv.\ C=33ft\\\\r=\dfrac{7\cdot33}{44}=\dfrac{7\cdot3}{4}=\dfrac{21}{4}(ft)\\\\=================[/tex]
[tex]v.\ C=5m\\\\r=\dfrac{7\cdot5}{44}=\dfrac{35}{44}(m)\\\\===============[/tex]
[tex]vi.\ C=66m\\\\r=\dfrac{7\cdot66}{44}=\dfrac{7\cdot3}{2}=\dfrac{21}{2}(m)\\\\================[/tex]
Evaluate and simplify the following complex fraction. 9 − 5 − 3 8 = 8 −3 −5 9 =start fraction, space, start fraction, 9, divided by, minus, 5, end fraction, space, divided by, start fraction, minus, 3, divided by, 8, end fraction, end fraction, equals
Answer:
[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{24}{5}[/tex]
Step-by-step explanation:
Operations With Fractions
The division of the fractions \frac{a}{b} and \frac{c}{d} can be calculated by multiplying the first by the reciprocal of the second fraction:
[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}*\frac{d}{c}[/tex]
We are given the following division of fractions:
[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{9}{-5}*\frac{8}{-3}[/tex]
Multiplying and simplifying:
[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{9}{5}*\frac{8}{3}[/tex]
[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{9*8}{5*3}[/tex]
Simplifying by 3:
[tex]\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{3*8}{5}[/tex]
[tex]\mathbf{\displaystyle \frac{\frac{9}{-5}}{\frac{-3}{8}}=\frac{24}{5}}[/tex]
Ibrahim has two lists of numbers. The mean of the numbers in the first list is p. The mean of the numbers in the second list is q. Ibrahim combines the two lists into one new list of numbers. Ibrahim says ‘The mean of the new list of numbers is equal to (p+q)/2 .' One of two conditions must be satisfied for Ibrahim to be correct. (b) Write down each of these conditions.
Step-by-step explanation:
The two conditions that must be satisfied for Ibrahim to be correct are:
1. The range of numbers in each list must also be the same.
2. The number of numbers in both list must also be same.
Make a table of values for each equation.
Please hurry this is due tonight.
Answer:
Last two ones in X are 16 and 24
Y goes like this: -8, -5, -2, 1, 4
Step-by-step explanation:
Math
Write the equation of the line shown. Be sure to use the correct variable.
Equation:
Answer:
y = -9Step-by-step explanation:
As per diagram, y = -9 for any value of x, so it is the line with equation:
y = -9Please help me solve this problem
Answer:
8 feet
Step-by-step explanation:
Since 4 feet is in the middle, multiply it by 2. It is 8.
The number of student of schoolwas 450 last year and it is 396 this year.By how many percent did the number decrease
Step-by-step explanation:
450 - 396 = 54
(54/450) * 100% = 12%
Hence the decrease is 12%.
Answer:
12%Step-by-step explanation:
The way to solve is to divide the number.
396/450 = 0.88 or 88%
Now, we subtract 88 from 100 to get 12, since we wanted the percent decrease.
The school is using a bus to go on a field trip. The bus has 40 seats that each fit 2 people. How many busses would be needed to transport 560 students?
Answer: 7 buses
Step-by-step explanation:
hope this helps!
Which of the following graphs could represent a cubic function?
+++
B.
C.
D.
A. Graph A
B. Graph B
C. Graph C
O D. Graph D
Answer:
A
Step-by-step explanation:
Here, we want to select which of the graph represents a cubic equation
Graphs B and C looks parabolic and thus, they probably will represent a quadratic equation
Graph D represents a straight line equation
Graph A represents a cubic function due to its shape
So our answer is graph A only
Answer:
a
Step-by-step explanation:
Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K’. Which rule could have been used to produce K’ from K?
Answer:
K(x, y) —> K’(-x, y - 7)
Step-by-step explanation:
PLEASE HELP WILL AWARD BRAINLIEST TO BEST ANSWER!!!
Answer:
See below
Step-by-step explanation:
[tex] In\: \triangle AKL, \:\\ AK = 9,\: \\m\angle K = 90\degree, \: \\m\angle A= 60\degree \\
\therefore m\angle L = 30\degree\\
By \:30°-60°-90° \:\triangle \:theorem:\\
AK = \frac{1}{2} \times AL\\(SIDE\: OPPOSITE \:TO \:30\degree) \\\\
9 = \frac{1}{2} \times AL\\\\
AL = 9\times 2\\\\
\huge\red{AL = 18}\\\\
KL = \frac{\sqrt 3}{2} \times AL\\(SIDE\: OPPOSITE \:TO \:60\degree) \\\\
KL = \frac{\sqrt 3}{2}\times 18\\\\
KL = 9\times \sqrt 3\\\\
\huge\purple{KL = 9\sqrt 3}\\\\
P(\triangle AKL) = AK + KL + AL\\
P(\triangle AKL)= 9 + 9\sqrt 3+18\\
\huge\orange{P(\triangle AKL)=(27 + 9\sqrt 3) \: units} \\\\
A(\triangle AKL) = \frac{1}{2} \times KL\times AK\\
A(\triangle AKL) = \frac{1}{2} \times 9\sqrt 3\times 9\\
A(\triangle AKL) = \frac{81\sqrt 3}{2} \\
\huge\pink{A(\triangle AKL) = 40.5\sqrt 3\: units^2} [/tex]
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Point G is the centroid of ∆ ABC, AD = 8, AG = 10, BE = 10, AC = 16 and CD = 18.Find the length of each segment. 30. If Point G is the centroid, then Point T is the point of concurrency of
Factors of 49 that add to 14
Answer: (7, 7)
Explanation: To get to 49 and 14, you only have one option.
7+7=14
7*7=49
Please help me with this
At a department store, a total of 12,568 DVDs were sold last year. The circle graph below shows the percentage of each type of DVD sold.
According to the circle graph, about how many action/adventure DVDs were sold last year?
A.
6912
B.
6284
C.
5656
D.
4399
Answer:
A 6912
Step-by-step explanation:
If you take 12,568 and subtract 45% from it you get 6912.4 but with no decimal
3
1
5
×
1
1
8
Give your answer as a mixed number in its simplest form.
Answer:
is it saying 3 1/5 * 1 1/8?
Step-by-step explanation:
Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom?
(4, 5)
(−4, 5)
(−4, −5)
(4, −5)
(-2,6) and (1,-1) whats the slope
Answer:
7/-3
Step-by-step explanation:
6--1=7
-2-1=-3
Answer:
The slope is m=-7/3
m=y²-y¹/x²-x¹
m=(-1)-6/1-(-2)
m=-7/3
Luis receives a gift card worth $100 to an online retailer that sells digital music and games. Each song costs $1, and each game costs $5. He wants to buy at least 30 items with this card. Select the correct system of inequalities from the multiple choice below.
Answer:
You can by 20 games and spend the whole $100 or you can subtract 1 game from the 20 for every 5 songs.
Step-by-step explanation:
Answer:
Luis receives a gift card worth $100 to an online retailer that sells digital music and games. Each song costs $1, and each game costs $5. He wants to buy at least 30 items with this card. Select the correct system of inequalities from the multiple choice below.
△ABC has vertices A(–2, –2), B(1, –1), and C(2, 0). Find the image of △ABC after a dilation centered at the origin with a scale factor of 2.
Answer:
see explanation
Step-by-step explanation:
since the dilatation is centred at the origin , then multiply each of the coordinates of A, B, C by the scale factor 2, that is
A' = (2(- 2), 2(- 2) ) = A'(- 4, - 4 )
B' = (2(1), 2(- 1) ) = B'(2, - 2 )
C' = (2(2), 2(0) ) = C'(4, 0 )
please help me on this.
Answer:
niether are a function
Draw a general schematic graph of the function y=kx+b, if k>0,b>0
I will give brainliest
Answer:
k ≠ 3
Step-by-step explanation:
Given the system of equation;
kx - y = 2 ------------------- 1
6x - 2y = 3 -------------------- 2
Rewriting the equations in the format ax+by+c = 0
Equation 1 becomes kx - y - 2 = 0
Equation 2 becomes 6x - 2y - 3 = 0
where a₁ = k, b₁ = -1 and c₁ = -2 and a₂ = 6, b₂ = -2 and c₂ = -3
For the system of equation to have a unique solution the following must be true;
a₁/a₂ ≠ b₁/b₁
Substituting the coefficients into the condition, we will have;
k/6 ≠ -1/-2
k/6 ≠ 1/2
Cross multiplying we will have;
2k ≠ 6
k ≠ 6/2
k ≠ 3
This means that k can be any other real values except 3 for the system of equation to have a unique solution.
HELP:
A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.
I need the answer quick, and thank you!!!
Answer:
First you can find the rate of change to be 4.25. Then you can subtract 4.25 repeatedly until you get to an output with an input of zero. The initial value is the output when the input is zero. The initial value after subtracting 4.25 three times is 29.50. Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25. Subtract 4.25 repeatedly 3 times to get to an output with an input of 0. Calculate 42.25 – (3 x 4.25). The initial value is 29.50.
Hope this Helps!
4x+7y=19
y=x+9
substitution method
Answer:
Point Form: (-4,5)
Equation Form: x=-4,y=5
Step-by-step explanation:
Please give me brainiest!!!
6. Look at this graph: Is this relation a function? Yes or no
8. Look at this graph: Is this relation a function? Yes or no
Pls help asap !!!
Answer:
No, they aren't functions
Step-by-step explanation:
if you drew a vertical line across them, there is 2 intersecting points, a function don't have any of that
hey guys im failing math can you guys help me?
Which system of inequalities is shown?
What's the square root of 64?
Answer:
Step-by-step explanation:
Answer please?
Thank you!
Answer:
ok
Step-by-step explanation:
What type of number is - √16?
Choose all answers that apply:
А Whole number
B Integer
C Rational
D Irrational
A museumcharges forgeneraladmission and exhibitions. Admission and 3 exhibitionscosts $45. Admission and 5 exhibitionscosts $65. What is the price of admission (initial value)
a. 15
b. 5
c. 8
d. 3
Answer:
a
Step-by-step explanation:
I guessed
Which of the following is a unit rate?
6:9
3:2
5:9
9:1