If sin 2X = COS ZY and m2X = 72°, what is the measure of ZY?
18°
072°
90°
108°
Answer:
18°
Step-by-step explanation:
sin 2x=cos zy
m(2x)=72°
cos(π/2-a)=sin a
cos(π/2-72°)=sin72°
cos18°=sin72°
=>m(zy)=18°
If (2 − √3) is a zero of a quadratic polynomial then the other zero is __________.
Answer:
(2+sqrt3)
Step-by-step explanation:
Assertion(A): (2-√3) is one zero of the quadratic polynomial then the other zero will be (2+√3).
Reason (R): Irrational zeros (roots) always occurs in pairs.
What is the other zero of the polynomial if one zero of the quadratic polynomial?Since the given polynomial is a quadratic so it has only two zeros. Let other zero be x. Hence, the other zero is (2 -√3).
What is one zero of the quadratic polynomial?Polynomials that have only one zero mean both values of the variable are the same. This is the case of equal zeros of a quadratic equation. Let x be the variable of a quadratic equation and both zeroes of the quadratic equation are 2, i.e., equal roots.
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Which verbal expression shows 4-n?
Answer:
are there answer choices because if there is i can help you
A square tile has a width of 1 foot. How many tiles will fit end-to-end along a
4-foot wall?
Answer:
4
Step-by-step explanation:
Starting at the left end of the wall, you'll find that you can set four (4) tiles end to end along this wall.
She needs to build a line of dominoes 21 and 1/4 in a long with each domino spaced 1 and 1/4 in. apart. How many will she need?
Answer:
17 dominoes
Step-by-step explanation:
21 and 1/4 in divided by how far they need to be spaced apart, 1 and 1/4 in, is equal to 17 dominoes.
If a conditional statement is “If the sun shines, people will be in good moods”, what is the statement “If the sun does not shine, people will not be in good moods.” A. converse B.conditional C. inverse D. contrapositive
Answer:
C. Inverse
Step-by-step explanation:
The second statement is the inverse, because in an inverse, the hypothesis and the conclusion are both negated. In this case, the sun doesnt shine and the people wont be in a good mood, as opposed to the sun will shine, and the people will be in a good mood.
Answer:
Inverse
Step-by-step explanation:
The question is above please help
Answer:
10x³ - 6x² - 9x + 12
Extra information:
★ Cubic polynomial: A polynomial of degree three is called cubic polynomial.
It is of the form P ( x ) = ax³ + bx² + cx + d [ Where a,b,c,d are real numbers and a is not equal to 0 . ]
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
-1/5
Step-by-step explanation:
h(0) is 5, and h^-1 is 1/h, so 1/-5 is -1/5.
Use the grouping method to factor x3 + x2 + 3x + 3.
A.(x + 1)(x2 + 3)
B.(x + 1)(x + 3)
C.x(x + 3)(x + 1)
D. (x + 1)(x+3)
Answer:
(x+1) (x^2+3)
Step-by-step explanation:
x^3 + x^2 + 3x + 3
x^3 + x^2 + 3x + 3
Factor out x^2 from the first group and 3 from the second group
x^2(x+1) +3(x+1)
Then factor out (x+1)
(x+1) (x^2+3)
Answer:
[tex](x + 1)( {x}^{2} +3 )[/tex]
Answer A is correct
Step-by-step explanation:
[tex] {x}^{3} + {x}^{2} + 3x + 3 \\ {x}^{2} (x + 1) + 3(x + 1) \\ = ( {x}^{2} + 3)(x + 1)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
which of the following rational functions is graphed below
Answer:
D.
Step-by-step explanation:
The simplest and fastest way to answer this question is to graph the equations given. Once you do so, then you should see that D is the correct answer.
A dilation is given by the transformation (x, y) - (.75x, 75y). What type of dilation is this
A -enlargement
B- it is not a dilation
C- reduction
[x^2+2y]^3
expand it
[tex](a + b) {}^{3} = a {}^{3} + 3a {}^{2} b + 3ab {}^{2} + b {}^{3} \\ \\ x {}^{6} + 6x {}^{4} y + 12x {}^{2} y {}^{2} + 8y {}^{3} [/tex]
Answer:
x^6 + 6x^4 y + 12x^2 y^2 + 8y^3.
Step-by-step explanation:
Using the Binomial Theorem:
(x^2 + 2y)^3 = (x^2)^3 + 3C1 (x^2)^2 (2y) + 3C2 x^2 (2y)^2 + (2y)^3
= x^6 + 3*x^4*2y + 3*x^2*4y^2 + 8y^3
= x^6 + 6x^4 y + 12x^2 y^2 + 8y^3.
A number cube is rolled. What is the likelihood that a number less than or equal to three is rolled?
The probability that a number less than or equal to three is rolled is 1/2.
Given that, a number cube is rolled, we need to find that what is the probability that a number less than or equal to three is rolled,
So, the probability = favorable outcomes / total outcomes
Here, the favorable outcome = 1, 2, 3 = 3
The total outcomes = 1, 2, 3, 4, 5, 6 = 6
So, the probability = 3/6 = 1/2
Hence, the probability that a number less than or equal to three is rolled is 1/2.
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can someone please help???
Answer:
2/3
Step-by-step explanation:
.that's the answer
There are 46 children attending the Hefner field trip. Each van will hold 8 children. How many van's will be needed to transport each child to and from the field trip?
Answer:
6
Step-by-step explanation:
There are 46 children attending the field trip.
Each van needs to transport 8 children.
To find the number of vans they need, we will divide the number of children by the number of children per van:
46 / 8 = 5.75 ≅ 6 vans
They need 6 vans.
Select the correct answer.
Which of these numbers are 11 units from 0 on the number line?
A:0
B: +11
C: -11
A. A and B
B: A and C
C: B and C
D: C only
the 11 units from 0 is c only
I run a book club with $n$ people, not including myself. Every day, for $365$ days, I invite five members in the club to review a book. What is the smallest positive integer $n$ so that I can avoid ever having the exact same group of five members over all $365$ days?
Answer:
Step-by-step explanation:
if we have n people and we want to do groups of 5, the total number of different combinations is:
[tex]c = \frac{n!}{(n - 5)!5!}[/tex]
find the smallest n such c > 365.
let's do it by brute force:
if n = 5, we have:
[tex]c = 5C_5 = 5[/tex]
if n = 6
[tex]c =6C_5 =6[/tex]
if n = 7
[tex]c = 7C_ 5= 21[/tex]
if n = 8
[tex]c = 8C_5 = 56[/tex]
if n = 9
[tex]C = 9!/(4!*5!) = 126[/tex]
so 9 is not enough, let's see N = 10
C = 10!/(5!*5!) = 252
10 is not enough, let's see with 11.
C = 11!/(6!*5!) = 462
So you need at least 11 members in the club.
Then the minimum number of members such we have more than 365 combinations is 11 members
Client need al least 11 members in the club.
Permutation and CombinationAccording to the question,
Group of five members, the combination will be:
→ [tex]c = \frac{n!}{(n-5)! \ 5!}[/tex]
By using Brute force,
If n = 5,
c = 5,
C₅ = 5
If n = 6,
c = 6,
C₅ = 6
If n = 7,
c = 7,
C₅ = 21
If n = 8,
c = 8,
C₅ = 56
Now,
If n = 9,
→ C = [tex]\frac{9!}{(4!\times 5!)}[/tex]
= 126
and, If n = 10,
→ C = [tex]\frac{10!}{(5!\times 5!)}[/tex]
= 252
and, If n = 11,
→ C = [tex]\frac{11!}{(6!\times 5!)}[/tex]
= 462
Then perhaps the minimal number of individuals required to have more than 365 possible combinations seems to be 11.
Thus the response above is correct.
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Shelley sells 5 bone-shaped treats for $3.50. How much should she charge for a package of 12 treats? Which proportion is needed to solve the problem? StartFraction 5 over 12 EndFraction = StartFraction x over 3.5 EndFraction StartFraction 12 over 3.5 EndFraction = StartFraction 5 over x EndFraction StartFraction 3.5 over 12 EndFraction = StartFraction 5 over x EndFraction StartFraction 5 over 3.5 EndFraction = StartFraction 12 over x EndFraction
Answer:
StartFraction 5 over 3.5 EndFraction = StartFraction 12 over x EndFraction
or [tex]\frac{5}{3.5}[/tex] = [tex]\frac{12}{x}[/tex]
Step-by-step explanation:
Answer:
it’s D
Step-by-step explanation:
The chair of the meeting collects $2702 from 28 people.Whats the unit rate?
Answer:
$96.50
Step-by-step explanation:
what are the values of the coefficient and constant term of 0 = 4 - 7 x^2 + x in standard form? a= b= c=
Step-by-step explanation:
0 = 4 - 7 x^2 + x
0= (-7)x^2 + (1)x + 4
a= -7
b = 1
c= 4
On a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.
Time (x)
Height (y)
0 10
2 24
16 10
How high was the ball after 8 seconds?
Answer:
42
Step-by-step explanation:
Please help! Correct answer only please! I need to finish this assignment by today.
On a residential single lane road there was a wreck that backed up traffic for 4 miles. 70% of the traffic consists of cars and 30% of the traffic consists of trucks. the average distance between vehicles is 3 feet. the average length of a car is 13.5 feet and the average length of a truck is 20 feet. estimate how many vehicles are stuck in the traffic jam.
(hint: there are 5280 feet in 1 mile)
A) 276
B) 896
C) 1172
D) 1412
Solve for x. I WILL MARK BRAINLIEST.
Answer:
73 degreesStep-by-step explanation:
We all know that the inner degrees of a pentagon add up to 540°
thus we can use the following equation to solve for x:
33+140+2x+x+x+75=540
173+4x+75=540
248+4x=540
4x=540-248
4x=292
x=292/4
x=73
Thus, the answer is 73 degrees
Answer:
[tex]x=73[/tex]
Step-by-step explanation:
The sum of all interior angles of a pentagon is 540°.
[tex]33+140+2x+x+x+75=540[/tex]
Add all like terms.
[tex]33+140+4x+75=540[/tex]
[tex]4x+248=540[/tex]
Subtract 248 on both sides.
[tex]4x=540-248[/tex]
[tex]4x=292[/tex]
Divide 4 on both sides.
[tex]x=292/4[/tex]
[tex]x=73[/tex]
Lisa sees a dress in a sale .The normal price of the dress is $45 the price that she reduced by 12% in a sale work out the price of the dress in the sale
Answer:
$39.6
Step-by-step explanation:
A triangle has two sides of lengths 5 and 12 what value could be the third side check all that apply
A)11 B)9 C)17 D)5 E)17 F)19
Answer:
9 and 11
Step-by-step explanation:
The population of Greenbow, Alabama in 1995 was 200 people. Since then, the population has grown 2% per year. Model this situation with the proper equation and use that equation to predict the population of Greenbow in 2020.
Answer:
Equation is;
P = I(1 + r)^n
The population is 328
Step-by-step explanation:
Here we want to model the situation and use the modeled equation to predict population.
This follows an exponential pattern with similarity to the amount paid on a compound interest
Mathematically, we can have the equation as;
P = I(1 + r)^n
Where P is the population we want to calculate
I is the initial population in 1995 = 200 people
r is the rate of increase = 2% = 2/100 = 0.02
n is the difference in the number of years = 2020-1995 = 25
Thus the population would be;
P = 200(1 + 0.02)^25
P = 200(1.02)^25
P = 328.12
which is 328 approximately
Which polynomial is in standard form?
Answer:
B
Step-by-step explanation:
Standard form is just descending powers.
Highest power in the polynomial is 5,
Second highest is 2,
Third Highest is 1 (x^1 = 9x)
Lowest is x^0 (the 12 is actually 12*x^0 = 12*1)
:-)
plz help me, brainliest to be given
Answer:
4%
Step-by-step explanation:
R=INTEREST X 100% / TIME X PRINCIPAL
r=40 x 100=4000
4000/500 x 2=1000
4000/1000=4%
Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.
17/40
Plsss help !!
Answer:42.5%
Step-by-step explanation:
Answer:
the answer is 42.5%
Step-by-step explanation:
you multiply both 40 and 17 by 2.5 to get 42.5/100 which is the percent in fraction form
what types of solutions does this equation have?
Answer:
Two imaginary solutions.
Step-by-step explanation:
In order to simplify the equation, we square root both sides. As the argument (value in the root) is negative, and we know that the square root function's domain is only positive numbers, we would have two imaginary solutions.
This would be positive/negative [tex]3i\sqrt{5}[/tex].
Another way to visualize this is by looking at the parabola's graph. Through algebraic manipulation, we know that the parabola is z^2 + 45. This parabola never crosses the x-axis. Therefore there are two solutions that are imaginary.
I hope this helps!