Answer:
s = 23-11
s = 12
Step-by-step explanation:
Hope this helps
3.1557600 x 10
seconds
Answer:
31.5576
Step-by-step explanation:
holaa cómo están
espero que bien
Answer:
si muy bien y tu?
Step-by-step explanation:
What is the surface area of this rectangular prism?
196 ft2
240 ft2
256 ft2
21 ft2
Answer:
256 ft²
Step-by-step explanation:
4 lateral faces + 2 bases
The total area
[tex] =2 \times (12 \times 4) + 2 \times (12 \times 5) + 2 \times (5 \times 4)[/tex]
[tex] = 96 + 120 + 40[/tex]
[tex] = 256[/tex]
A theater has 49 seats in the first row 52 seats in the second row 55 seats in the third row how many seats are in the 16th row
Answer:
94 seats
Step-by-step explanation:
We solve using Arithmetic sequence formula
an = a + (n + 1)d
Where
a = First term = 49
d = Common difference = 52 - 49 or 55 - 52 = 3
n = 16th row
Hence,
a16 = 49 + (16 - 1)3
a16 = 49 + (15 × 3)
a16 = 49 + 45
a16 = 94
Therefore, the number of seats on the 16th row is 94 seats
Find the area of a circle with a diameter of 31.
Answer:
hope this helps
Step-by-step explanation:
31 divided by 2 = 15.5 then do 15.5 x 15.5= 240.25 then you do 240.25 x 3.14 = 754.385
Please help me if you can with this math problem
Answer:
m<BAC = 34
Step-by-step explanation:
It is given that (<BOC) is a central angle with a degree measure of (68). A central angle is an angle whose vertex is the center of the circle. (<BAC) is an inscribed angle, an angle whose vertex is on the circumference (perimeter) of the circle. Arc (BC) connects the ends of both of these angles.
The central angle theorem states that the measure of the central angle is equivalent to its surrounding arc. Using this theorem, one can state the following,
m<BOC = BC = 68
The inscribe angle theorem states that the measure of the arc surrounding the inscribed angle is twice the measure of the inscribed angle. Applying this theorem, one can state the following,
2(m<BAC) = (BC)
2 (m<BAC) = 68
m<BAC = 34
Given two points P(sinθ+2, tanθ-2) and Q(4sin²θ+4sinθcosθ+2acosθ, 3sinθ-2cosθ+a). Find constant "a" and the corresponding value of θ when these two points coincide. (0 ≤ θ < 2π)
Show your work, thanks!
Answer:
[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]
[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1, \frac{\sqrt{3}}{2} - 1[/tex]
Step-by-step explanation:
we are given two coincident points
[tex] \displaystyle P( \sin(θ)+2, \tan(θ)-2) \: \text{and } \\ \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]
since they are coincident points
[tex] \rm \displaystyle P( \sin(θ)+2, \tan(θ)-2) = \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ )\cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]
By order pair we obtain:
[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ) = \sin( \theta) + 2 \\ \\ \displaystyle 3 \sin( \theta) - 2 \cos( \theta) + a = \tan( \theta) - 2\end{cases}[/tex]
now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using substitution method
to do so, make a the subject of the equation.therefore from the second equation we acquire:
[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sinθ \cos(θ)+2a \cos(θ )= \sin( \theta) + 2 \\ \\ \boxed{\displaystyle a = \tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) } \end{cases}[/tex]
now substitute:
[tex] \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2 \cos(θ) \{\tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) \}= \sin( \theta) + 2 [/tex]
distribute:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ)+4 \sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) - 6 \sin( \theta) \cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]
collect like terms:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]
rearrange:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) + 4 \cos ^{2} ( \theta) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + = \sin( \theta) + 2 [/tex]
by Pythagorean theorem we obtain:
[tex]\rm\displaystyle \displaystyle 4 - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) + 2 [/tex]
cancel 4 from both sides:
[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) - 2[/tex]
move right hand side expression to left hand side and change its sign:
[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+\sin(θ ) - 4\cos( \theta) + 2 = 0[/tex]
factor out sin:
[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) - 4\cos( \theta) + 2 = 0[/tex]
factor out 2:
[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) + 2(- 2\cos( \theta) + 1 ) = 0[/tex]
group:
[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(- 2 \cos(θ)+1) = 0[/tex]
factor out -1:
[tex]\rm\displaystyle \displaystyle - ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]
divide both sides by -1:
[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]
by Zero product property we acquire:
[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) + 2 = 0 \\ \displaystyle2 \cos(θ) - 1= 0 \end{cases}[/tex]
cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta
[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) \neq - 2 \\ \displaystyle2 \cos(θ) = 1\end{cases}[/tex]
divide both sides by 2:
[tex] \rm\displaystyle \displaystyle \displaystyle \cos(θ) = \frac{1}{2}[/tex]
by unit circle we get:
[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]
so when θ is 60° a is:
[tex] \rm \displaystyle a = \tan( {60}^{ \circ} ) - 2 - 3 \sin( {60}^{ \circ} ) + 2 \cos( {60}^{ \circ} ) [/tex]
recall unit circle:
[tex] \rm \displaystyle a = \sqrt{3} - 2 - \frac{ 3\sqrt{3} }{2} + 2 \cdot \frac{1}{2} [/tex]
simplify which yields:
[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1[/tex]
when θ is 300°
[tex] \rm \displaystyle a = \tan( {300}^{ \circ} ) - 2 - 3 \sin( {300}^{ \circ} ) + 2 \cos( {300}^{ \circ} ) [/tex]
remember unit circle:
[tex] \rm \displaystyle a = - \sqrt{3} - 2 + \frac{3\sqrt{ 3} }{2} + 2 \cdot \frac{1}{2} [/tex]
simplify which yields:
[tex] \rm \displaystyle a = \frac{ \sqrt{3} }{2} - 1[/tex]
and we are done!
disclaimer: also refer the attachment I did it first before answering the question
which expression is equivalent to (4+3i)-(8-6i)
Answer:-6+3i
Step-by-step explanation:
(1+6i)—(7+3i)1+6i—7–3i1. 1–7 = —62. 6i—3i=3iSo
The lengths of three sides of a triangle are given. Classify each triangle as acute, right, or obtuse. 6,9,7
what are the answers to problems 9 and 10 ?
Answer:
D. and F.
Step-by-step explanation:
help pls fast!!!!!llllllll
You're correct!!
Answer:
[tex]4 \frac{1}{2} [/tex]in²
Step-by-step explanation:
The area of the larger rectangle minus the area of the smaller rectangle
Area of the larger rectangle
= 3×2.5
= 7.5 in²
Area of the smaller rectangle
= 2×1.5
= 3 in²
The area of the shaded region
= 7.5-3
= 4.5 in²
Please help.... it’s due next week
Answer:
m= 1/2
y=1
Step-by-step explanation:
you go up 2 over 4 but you simplify it to 1/2
you then go to the first point for y intercept, which is 1 (because it follow the patteren)
Need help ! Please.....
Answer:
A
Step-by-step explanation:
We don't use the approximate sign, so options C and D are out. Also, statement P does not mean Q, so option B is also out. So we are only left with option A.
PLEASE HELP!!! WILL MARK BRAINLEIST
pls help me this is due today
Answer:
Option 1
Step-by-step explanation:
The shaded area is 2/3 and it is divided into 1/9 pieces. So, 2/3 divided by 1/9 which equals 6 pieces. The only equation that matches this is option 1.
Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. ?
Answer:answer is 2.5v+5<5v A.k.a:A
Step-by-step explanation:
Can someone please help me
With Geometry
Answer:
4.2
Step-by-step explanation:
By intersecting chords theorem:
[tex]x \times 10 = 6 \times 7 \\ \\ 10x = 42 \\ \\ x = \frac{42}{10} \\ \\ x = 4.2[/tex]
Evaluate 1/3m-1-1/2n when m=21 and n=12
Answer:
12
Step-by-step explanation:
A farmer A farmer sells 9.3 kilograms of pears and apples at the farmer's market.
4
5
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
1.86
Step-by-step explanation:
Since decimals are the same as fractions, we can convert 4/5 to .80. And since "of" means multiply, we can convert .80 of 9.3 to:
.8 x 9.3 = 7.44
This is the amount of pears, so we subtract:
9.3 - 7.44 = 1.86
The weight of the apples is 1.86.
1. Which equation describes a line with
y-intercept (0,5) that passes through the
point (2, 4)?
A) y = -2x + 6
C) y = 2x + 5
B) y = -x+5
D) y = x +5
***CORRECT ANSWER CAN BECOME BRAINLIEST***
Solve -5x^2 = -25 using any method. Round your solutions to the nearest hundredth.
The solutions are x ≈ ___ x ≈ ___
AND
What is the most efficient method for solving this equation?
The most efficient method is ____,
1. Factoring
2. Completing the square
3. Using the Quadratic Formula
AND
.....because the equation _____.
1. Can be written in the form x^2 = d.
2. has a perfect square trinomial on its left side.
3. Is not easily factorable and a ≠ 1
4 Is not easily factorable, but a = 1 and b is even.
4. Is easily factorable.
Answer:
The most efficient method is completing the square because the equation can be written in the form [tex]x^2 - d[/tex]
x ~ 2.24
x ~ -2.24
Step-by-step explanation:
Solve the equation using any method that is efficient. The most efficient method is completing the square, because the equation can be written in the form [tex]x^2 - d[/tex]. Use this method to solve the problem, since the equation is already in the format, [tex]x^2 - d[/tex], all one has to use is inverse operations to solve the equation.
[tex]-5x^2 = -25\\/-5\\\\x^2 = 5\\\sqrt{}\\\\x = +- \sqrt{5}[/tex]
x ~ 2.24
x ~ -2.24
Shane can run the length of a football field (100 yards) in 12 seconds what's shanes speed?
Answer:
8 1/3 or 8.33 yards per second
Step-by-step explanation:
100/12 = 8 1/3
David wants to survey his friends about their favorite animal he distributes the following survey is this an appropriate survey for david to use
Answer:
Its A let me know if im wrong!
Answer:
Fourth option is most suitable here.
Please help me!! How do I do this?
Answer:
Taking 45 degree as reference angle
Then using sine rule
sin 45=
p/h
replacing the value of sin 45 degree by 1/root 2.so
1/root 2=9/c
doing cross multiplication
9*root 2=1*c
9 root 2 =c
therefore the value of c is 9 root 2
Step-by-step explanation:
Find the area of the sector in
terms of pi.
12
300°
Area = [?]
[tex]\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}[/tex]
Area of sector = 120π unit²
Square ABCD is translated 9 units to the right, followed by a translation 6 units down
Square ABCD is reflected across the y-axis, followed by a translation 6 units down
Square ABCD is translated 6 units down, followed by a translation 9 units to the right
Answer:
71
Step-by-step explanation:
ndndnrbrjen3n3nn3b2n2b2b
A limousine costs $75000 new, but it depreciates at a rate of 12% per year. How many years would it take to be worth $45000? Round to the nearest year.
Number of years to make a worth of $45000 with Depreciation rate of 12% and Total worth $45000 is 4 years
Years= 4 year
What is Depreciation?The term depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life. Depreciation represents how much of an asset's value has been used. It allows companies to earn revenue from the assets they own by paying for them over a certain period of time.
Given that:
limousine costs $75000
Depreciation rate = 12% per year= 0.12
Total worth= $45000
By using the formula for year we have
total worth = cost of object [tex](1- Depreciation \;rate)^{year}[/tex]
45000= 75000x [tex](1-0.12)^{year}[/tex]
0.6= [tex](0.88)^{year}[/tex]
Now taking log on both side we have
log 0.6= year x log0.88
-0.2218 = year x -0.05551
year= 4.049
year≈ 4 year(rounding off nearest year)
Learn more about depreciation here:
https://brainly.com/question/14682335
#SPJ2
Find the circumference
Answer:
sub to garce franz
Step-by-step explanation:
257
Find the circumference of the circle. Use 3.14 for a.
Answer:
Hello! answer: 62.8
Step-by-step explanation:
Cirmcumfrence is just diameter × pi so since we are using 3.14 for pi we can just do 3.14 × 20 so...
3.14 × 20 = 62.8 Therefore the circumference is 62.8 Hope that helps!
I need answer Immediately pls!!!!!!!
Answer:
1/14
Step-by-step explanation:
There is only 1 common multiple of 4 and 6 between 1 and 14.
So the probability is:
[tex]P = \frac{1}{14}[/tex]
Answer:
5/14
Step-by-step explanation:
the multiples of 6 are 6 and 12. the multiples of 4 are 4,8,12(but its the same as 4 so we don't add that one), and 14. Add 2 and 3 and you get 5.
The total is 14 so it ends up being a 5/14 chance.