A 6-foot diameter circle is divided
into six congruent sectors. What
is the area of each sector in square
inches? (Use 3.14 for 2.)
Answer:
the area is 1235
Step-by-step explanation:
Answer:
2714.33 sq in
explanation-
since circle is divided into 6 congruent sectors, area of each sector is 1/6th of area of circle.[tex]ar \: of \: sector \: = ar \: of \: circle \: \div 6 \\ = \pi \times 72 \times 72 \div 6 \\ = 2714.33[/tex]please help me i dont understand
Answer:
x = 25
Step-by-step explanation:
Angle 1 = 2x + 10
Angle 2 = 4x + 20
These two angles are going to add up to 180 because 180 is a straight line so we get the equation:
2x + 10 + 4x + 20 = 180
6x + 10 + 20 = 180
6x + 30 = 180
6x = 150
x = 25
- 3/10h = 15 what does h =
Answer:
h = -50
Step-by-step explanation:
- 3/10h = 15
Multiply each side by -10/3 to isolate h
-10/3 * - 3/10h = 15 * -10/3
h = -150/3
h = -50
Answer:
h = -50
Step-by-step explanation:
HELP‼️‼️‼️‼️‼️‼️‼️‼️
Answer:
a. x^(5/6) + 2x^(7/3)
Step-by-step explanation:
____
PLEASE HELP! Which of the following points are in the second quadrant of the xy-plane? Check all that apply.
A. (-7,6)
B. (-2,-8)
C. (6,-2)
D. (-4,2)
E. (2, 2)
F. (4,8)
Answer:
a and d i think bc they are negative-positive
How many different committees can be formed from 12 teachers and 43 students if the committee consists of 3 teachers and 4 students?
The committee of 7 members can be selected in BLANK
different ways.
Answer:
[tex] \displaystyle 27150200[/tex]
Step-by-step explanation:
we are two conditions
committees can be formed from 12 teachers and 43 studentsthe committee consists of 3 teachers and 4 studentsIn choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12
remember that,
[tex] \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} [/tex]
with the condition we obtain that,
[tex]n = 12[/tex][tex]r = 3[/tex]therefore substitute:
[tex] \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} [/tex]
simplify Parentheses:
[tex] \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} [/tex]
rewrite:
[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} [/tex]
reduce fraction:
[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]
rewrite 12 and 10:
[tex] \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]
reduce fraction:
[tex] \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10[/tex]
simplify multiplication:
[tex] \rm \displaystyle\binom{12}{3} = 220[/tex]
In case of students we need the number of combinations of 4 students choosen from 43 therefore,
[tex] \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} [/tex]
simplify which yields:
[tex] \displaystyle\binom{43}{4} = 123410[/tex]
hence,
The committee of 7 members can be selected in BLANK different ways is
[tex] \displaystyle 123410 \times 220[/tex]
[tex] \displaystyle \boxed{27150200}[/tex]
and we're done!
The quotient of a number and - 2/3 is -9/10
What is the number?
1 7/20
3/5
29/30
20/27
Answer:
n = 3/5
Step-by-step explanation:
Represent this quotient as:
n
---------
-2/3
and set it equal to -9/10:
n -9
--------- = -------
-2/3 10
Cross multiplication yields:
10n = 6, so that n = 6/10 or n = 3/5
Help meeeeeeeeeeeeeeee
Answer:
I'm pretty sure it's D becuase you can't have a power be a fraction
Step-by-step explanation:
The measure of 1 in the diagram below is 113º.
What is the measure of <4?
I could use some help here
Answer:
3x^3 + 6x^2
Step-by-step explanation:
2x^2 + 3x^3 + 4x^2
Combine like terms
3x^3 + (2x^2+4x^2)
3x^3 + 6x^2
Answer:
b. 6 x² + 4 x³
Step-by-step explanation:
2x ² + 3x³ + 4x²
Combine like terms, we get
2 x² + 4 x² + 3 x³
6 x² + 3 x³
option a and b both are similar.
Will give brainliest and 15 points
Statistics & Data
For this data set, there is an outlier. The outlier is four.
This is representing a small number of assignments required in math class that month.
This means that the correct answer is B.
Answer:
B
Step-by-step explanation:
The answer should be B or the second choice because the number 4 is unusually low compared to the rest of homework assignments given in the other math classes for that month. I made a graph to show how the number 4 is not near the number of homework assignments given in the other math classes.
If you think I missed something or made a mistake, please let me know.
two solutions of x(18 – x) = 2(9x – 32).
Answer:
x = -8
x = 8
Step-by-step explanation:
x(18 – x) = 2(9x – 32)
distribute
18x - x² = 18x - 64
Subtract 18x from both sides
-x² = -64
multiply both sides by -1
x² = 64
Take the square root of both sides
x = ± 8
x = -8
x = 8
A test is worth 30 points. Multiple-choice questions are worth 7 point and
short-answer questions are worth 2 points. If the test has 20 questions, how
many multiple-choice questions are there?
Answer:cvg
Step-by-step explanation:
factorise: x³ + 4x
(with explaining the steps)
Answer:
x( x^2+4)
Step-by-step explanation:
factor out x from the expression
xx (x^2+4)
than your answer is x( x^2+4)
Answer:
[tex] x(x + 2)(x + 2)[/tex]
Step-by-step explanation:
as the x is the common factor...get x out
[tex] {x}^{3} + 4x[/tex]
[tex]x( {x}^{2} + 4)[/tex]
Then
[tex]x( {x}^{2} + 4) \\ x( {x}^{2} + {2}^{2} ) \\ x(x + 2)(x + 2)[/tex]
Hope this helps you
Write an equation in slope-intercept form of
the line that passes through (-6,4) and
(-1,2).
The sides of a triangle are x cm, (x -1) cm and (x+2) cm. IF the perimeter is 31 cm, then the SHORTEST side is
Answer:
9 cm
Step-by-step explanation:
Applying,
P = a+b+c................. Equation 1
Where P = Perimeter of the triangle, a, b,c are the three sides of the triangle respectively.
From the question,
Given: P = 31 cm, a = x cm, b = (x-1) cm, c = (x+2) cm
Substitute these values into equation 1, and solve for x
31 = x+(x-1)+(x+2)
31 = 3x+1
3x+1 = 31
3x = 31-1
3x = 30
divide both side by 3 to get x
3x/3 = 30/3
x = 10.
Therefore, the sides of the triangle are
a = x = 10 cm,
b = (x-1) = (10-1) = 9 cm
c = (x+2) = (10+2) cm = 12 cm
Hence the shortest side is 9 cm
Find the slope from the two points given: (2, 1) and (3,-10)
Answer:
-11
Step-by-step explanation:
let (2,1)be x1 and y1 respectively
(3,-10) be x2 and y2 respectively
From,slope= (y2-y1)/(x2-x1)
=(-10-1)/(3-2)
= -11/1
= -11
An ice cream store sells 2 drinks, in 4 sizes, and 6 flavors. In how many ways can a customer order a drink?
Please help I will give brainlest
Step-by-step explanation:
D. 321 square feet
26-15= 11
6*11= 66ft²
15*17= 255ft²
255+66= 321ft²
Area= 321ft²
Might be wrong but hope it helped!
write a proportion and find the missing side lengths. show work!! 30 points.
Answer:
Step-by-step explanation:
34 . since the given two figure are similar their corresponding sides are proportonal.
let the missing side be x
take these ratios
15/18 = x/30
do cross multiplication
18*x = 30*15
18x = 450
x = 450/18
x = 25
therefore missing side is 25
35.since they are also similar their corresponding sides are proportional.
let the missing side be x
for this take these ratios
8/12 = 10/x
do cross multiplication
12*10 = 8*x
120/8 =x
15 =x
therefore missing side is 15.
25 points do entire slide, as shown in image.
Answer:
A=90, B=86.896551724,C=90/29
Step-by-step explanation:
B+C=90
(x28)+x=90
x=90/ 29
((90/29)28)=B
A=90° because there is the symbol indicating a right angle
label this graph as “linear” or “non linear”
This answer is Nonlinear
The sum of four consecutive numbers equals b+6. What are the numbers?
Answer:
0,1,2 and 3
Step-by-step explanation:
let the first number be b
therefore the second,third and fourth numbers are b+1,b+2 and b+3
b+b+1+b+2+b+3=b+6
4b+6=b+6
4b-b=6-6
3b=0
b=0
Click on the following figure to show the Rn Rm.
Answer:
there is no figure sorry
h(x)=x^3 -4x g(x)=x+2 find (h/g) (x)
Answer:
(h/g)(x) = x² - 2x
Step-by-step explanation:
h(x) = x³ - 4x
g(x) = x + 2
(h/g)(x) = h(x)/g(x) = (x³ - 4x) / (x + 2) = x² - 2x
Please help reflect the point (-2,-3) and reflect it over the y-axis
Answer:
Step-by-step explanation:
use formula
A(x,y)=A'(-x,y)
(-2,-3)=(2,-3)
#1
{(3, 7), (2, 4), (-1, 7), (0, 2)}
The domain is...
The range is....
Write an equation for this graph
Answer:
y = -x - 2
Step-by-step explanation:
The slope is -1 and the y-intercept is (0, -2).
what is the binary 101*11
Answer:
Answer Of this question is 1000
Which best describes the vertex of this parabola?
Answer:
The correct option is (2,1);maximum. The explanation is given below. The vertex of the parabola is the point where the parabola crosses its axis of symmetry. the vertex will be the lowest point on the graph, the point at the bottom of the " U "-shape.
Step-by-step explanation:
thank me later