Answer:
(1 - 2sinα)(1 + 2sinα)
Step-by-step explanation:
1 - 4sin²α ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
1 - 4sin²α
= 1² - (2sinα )²
= (1 - 2sinα)(1 + 2sinα)
Which formula would you use to calculate the circumference of a circle where r=radius
What is the measure of the unknown angle?
Image of a straight angle divided into two angles. One angle is eighty degrees and the other is unknown.
Answer:
The other angle is 100
Step-by-step explanation:
A straight line is 180, and if one angle is 80, then 180-80=100, giving you your answer. ^^
Answer:
i think the answer will be 180-80?
What kind of force can an. Elastic material exert
Answer:
i hope this helps "Elasticity is the ability of a material to return to its original shape after being stretched or compressed. When an elastic material is stretched or compressed, it exerts elastic force. This force increases the more the material is stretched or compressed."
Step-by-step explanation:
Using the smart method, set yourself an academic short term goal for 2021
Answer:
this is based around your own learning but do something relatively easy to get it over with quickly. for example, in soccer will score a goal by the end of the season.
Step-by-step explanation:
specific, measurable, attainable, realistic, and timely
A marble is randomly selected from a bag that contains 3 green marbles, 6 orange marbles, and 3 red marbles. The marble is replaced, and another marble is randomly selected. What is the probability of selecting a green and then an orange marble?
Chloe, Anita, and Lily each bought a toy fish. Lily's fish is 2 inches longer than twice the length of Anita's fish. Anita's fish is 12 inches long. Lily's fish is _____ inches long.
Answer:
26 inches.
Step-by-step explanation:
Lilly: 12 x 2 + 2 = 26
Anita: 12
HELp and show ur work Which of the expressions below has a product that is greater than 100? Select all that apply. A) 5.12 × 20 B) 10.95 × 9 C) 11.24 × 9 D) 12.18 × 8
Which answer is correct
A B C D
Answer:
by technicality, both a and c are correct
Step-by-step explanation:
a) 5.12 x 20 = 102.4
b) 10.95 x 9 = 98.55
c) 11.24 x 9 = 101.16
d) 12.18 x 8 = 97.44
Amari can spend at most $40 at the fair. It cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.
Answer:
i have no idea if you're looking for how many rides she can go on or the equation so i'll give you both lol.
Step-by-step explanation:
3t + 12 = 40
t represents the number of tickets (rides)
$12 is the entry fee.
$3 is the cost per ticket
to solve, use the subtraction property of equality. (subtract 12 from both sides)
3t + 12 - 12 = 40 - 12
3t = 28
divide each side by 3.
3t/3 = 28/3
28/3 = 9.3333...
amari can go on a maximum of 9 rides ($27) and stay within her budget of $40 or less.
$27 + $12 = $39.
she will have $1 left over.
The inequality in the given situation is 3t+12≤40
Given that, Amari can spend at most $40 at the fair.
What is inequality?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Now, the cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.
Here, $3 per ticket, t, to ride the rides = 3t
So, the inequality is 3t+12≤40
Therefore, the inequality in the given situation is 3t+12≤40.
To learn more about inequality visit:
https://brainly.com/question/20383699.
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"Your question is incomplete, probably the complete question/missing part is:"
Amari can spend at most $40 at the fair. It cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.
The inequality ___ represents the amount of money Amari has left to purchase tickets after she enters the fair.
the expression 8^-4x8^6 is equivalent to
Answer:
8^2
Step-by-step explanation:
can anyone help me please? and tell me what to shade
:) Good Luck! You got this, and hope this helps!
help please i don’t understand and this is do today :/!!
The sum of twice a number and three times a number is triple the quantity of five more than a number. Find the number.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First you have to translate the words to numbers into an understandable equation like this...
[tex]2x+3x=3(x+5)[/tex]
Now we can solve for x...
[tex]2x+3x=3(x+5)\\2x+3x=3x+15\\5x=3x+15\\2x=15\\x=7.5[/tex]
So the number is 7.5
5/2 is the number if the sum of twice a number and three times a number is triple the quantity of five more than a number then the number.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The sum of twice a number and three times a number is triple the quantity of five more than a number.
Assuming the number has a unique multiple of x.
∴ 2x + 3x = (3x + 5).
2x = 5.
x = 5/2.
learn more about numerical expression here :
https://brainly.com/question/29199574
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100 BRAINLY POINTS!!!
The table shows the years of education and the weekly compensation of several people.
What type of association exists between the years of education and the weekly compensation?
A. no association
B. positive association
C. negative association
D. nonlinear association
PLEASE HELP
Positive correlation = positive association Negative correlation = negative association
HELP PLEASEEEEEEEEEEEE!
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
Pull out like factors : 16 + 2x = 2 • (x + 8)
Solve::x+8 = 0
Subtract 8 from both sides of the equation::x = -8
If the radius of a pizza has a length of
X + 5 units, what is the area of the
pizza? What is the value when x = 10
inches?
Answer:
225π inches²
Step-by-step explanation:
Assuming the pizza to be a circle, its area is calculated below:
[tex]A=\pi r^2\\A=\pi(x+5)^2\\A=\pi(10+5)^2\\A=\pi(15)^2\\A=225\pi[/tex]
Thus, the radius of the pizza is [tex]225\pi[/tex] inches² when x is 10 inches.
The Case of the Bogus $20 Bill
A customer goes into a shoe store and buys a pair of shoes for $5, but pays with a counterfeit $20 bill. The shoe store owner does not realize that the $20 bill is bogus. However, the shoe store owner notices that she does not have change for the $20 bill - so she runs to the grocer next door. The grocer gives the shoe store owner four $5 bills for the bogus $20 bill. The shoe store owner returns to her store and gives the customer the shoes and $15 change. Later the grocer arrives at the shoe store with the FBI to inform the owner that the $20 bill was bogus! So the shoe store owner is forced to give the grocer $20, and the FBI keeps the bogus bill. How much did the shoe store owner lose?
Answer:
15 dollars
Step-by-step explanation:
they lost 20 but made 5 back from the "sale"
The circumference of a circle measures 11.27 pie ft. What is the measure of the diameter of this circle?
Answer:
11.27
Step-by-step explanation:
If I understand you question right...
C = d x π
11.27 π = d x π
divide both sides by π
11.27 = d
80/91 + 5/9 in fraction pls
Answer:
Your answer is: (a little big) ----> 1175/819
Mixed number form: 1 356/819
Combine the fractions by finding a common denominator.
Step-by-step explanation:
Hope this helped : )
Answer:
1175/819
Step-by-step explanation:
80/91 = 720/819
5/9 = 455/819
720 + 455 = 1175
We will not add the denominators
I hope this helps!
I just don't understand this stuff can someone help
Answer:
question 5: 9.6
Step-by-step explanation:
[tex] \frac{ 5.4}{6.3} = \frac{x}{11.2} [/tex]
[tex] \frac{5.4 \times 11.2}{6.3} = 9.6[/tex]
PLEASE ANSWER THIS! WILL GIVE BRAINLIEST TO WHOM ANSWERS FIRST!!
You can by 20 fluid ounces of shampoo for $4.40 at Wal Mart or 24 fluid ounces for $4.80 at Smith's. Which is the better buy?
Answer:24 oz at smiths
Step-by-step explanation:
4.40/20 =.22 c per oz
4.80/24=.20 c per oz
An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?
Answer:
the plain is going 12km in one minute
Step-by-step explanation:
Can someone help me? please and thank you. Find the value of x. Leave your answer in simplest radical form.
Answer:
√61
Step-by-step explanation:
using Pythagorean theorem,
h²+b²=hy²
h²+b²=hy²4²+2²=hy²
h²+b²=hy²4²+2²=hy²16+4=20
h²+b²=hy²4²+2²=hy²16+4=20hy²=20
therefore in radical form, Hy=√20
with the same theorem;
h²= hy²-b²
b² is initially given as (√20)²
hy² is given as 9²
h²=9²-(√20)²
h²=81-20
h²=61
h=√61
1.5 - 3.75 rewritten as addition is 1.5 + (-3.75)
O True
O False
Answer:
true
Step-by-step explanation:
The answer to the question is true
Helena asked five drama club members in her homeroom how many tickets they had sold. The mean number of tickets sold was 16.
Then she took ten random samples from the entire drama club of 75 students. The mean number of tickets sold was 22.5.
Compare the means. Is one sample a better representation? Explain why or why not.
Using the Central Limit Theorem, considering the higher sample size, the sample of 75 students, with a mean of 22.5, is a better representation.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
A higher sample size leads to a smaller standard error, hence the sample of 75 students, with a mean of 22.5, is a better representation.
More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
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Answer:
This is my answer:The second one is better. the entire drama club one was better because the sample is large enough .It also comes from a bigger and more varied group of students thus it is less likely to be biased.
Step-by-step explanation:
Edge test and I got it right :D
Which temperature is the warmest?
-4°F
-13°F
-28°F
2° F
Answer:
2*f
Step-by-step explanation:
because all the rest are negative
2. What is the slope of the line that passes
through the points (10, 4) and (-8, 6)?
A
9
B
с
-
-
D
18
2
Answer:
1/-9
Step-by-step explanation:
First you need to calculate rise over run with the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] in this case that would be 6-4 over -8 - 10 this gets you 2/-18. This means the "rise" is 2 and the "run" is -18. This can be simplified to 1/-9.
Question 4
Solve for m.
m+ 7 = 3 + m + 4
1
m=
m = -7
no solution
infinite
solutions
infinitely many solutions
Step-by-step explanation:[tex]m+7=3+m+4[/tex]
Combine like terms
[tex]m+7=7+m[/tex]
Rearrange variables to the left side of the equation
[tex]m-m=7-7[/tex]
Apply the Inverse Property of Addition
[tex]m-m=7-7\\ 0=0[/tex]
Bases on the given conditions, the (system of) equation(s) has
[tex]infinitely\ many\ solutions[/tex]
I hope this helps you
:)
One leg of a right triangle is 10 units, and its hypotenuse is 12 units, What is the length of its other leg? (show your work)
Answer:
6.6 unitsStep-by-step explanation:
see attached image
use Pythagorean to solve the other leg of a triangle
b = [tex]\sqrt{12^2 - 10^2}[/tex]
b = [tex]\sqrt{44}[/tex]
b = 6.6 units
You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 9 out of 25 times. What is the experimental probability that the next marble will be red? Write your answer as a fraction, decimal, or percent.
The experimental probability that the next marble will be red is
.
Does it say how many of the marbles in the bag are red? Normally you will want to divide the amount of red marbles to the amount total marbles and you will get a percent. It's also note worthy that it states the marble going back into the bag. It would change if it was left out still.
The tens digit of a three digit number exceeds its units digits by 3. If we were to swap the 100's digit and the unit's digit, the new number would be 297 more than the original number. If we were to remove the hundreds digit from the original number, the two digit number obtained would be 13 less than half the original number. What's the original number?
Answer: 174
Step-by-step explanation:
Let's define the notation:
U = units digit
T = tens digit
H = hundreds digit.
Where the number is HTU.
We know that:
T = U + 3
"UTH" - "HTU" = 297.
"TU" = "HTU"/2 - 13.
First, let's wrote this correctly, and make a system of equations:
T = U + 3.
U*100 + T*10 + H - H*100 - T*10 - U = (U - H)*99 = 297.
T*10 + U = (H*100 + T*10 + U)/2 - 13 = H*50 + T*5 + U*0.5 - 13
Then we have the system of equations:
T = U + 3.
(U - H)*99 = 297
T*10 + U = H*50 + T*5 + U*0.5 - 13.
First, we can replace the first equation into the third one, so now we have only two variables.
(U - H)*99 = 297
(U +3)*10 + U = H*50 + (U + 3)*5 + U*0.5 - 13.
Now we can isolate H in the first equation and get:
(U - H) = 297/99
H = -297/99 + U.
Now we can replace it into the other equation:
(U +3)*10 + U = (-297/99 + U)*50 + (U + 3)*5 + U*0.5 - 13.
Now let's solve this for U.
U*10 + 30 + U = U*50 -150 + 5*U + 15 + U*0.5 - 13
11*U + 30 = U*(50 + 5 + 0.5) - 148
30 +148 = U*(55.5 - 11) = U*44.5
U = 178/44.5 = 4.
Then using the previous equations:
T = U + 3 = 4 + 3 = 7
H = -3 + U = -3 + 4 = 1.
Then our number is:
174.