[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]
Divide both sides by sin x[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]
[tex]\\ \sf\longmapsto 5sinx=1[/tex]
[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]
[tex]\\ \sf\longmapsto sinx=0.2[/tex]
[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]
[tex]\\ \sf\longmapsto x=11.53[/tex]
What is the greatest common factor of 18, 6, and 36?
Answer:
18 is the greatest common factor between those
Answer:
There are 6 common factors of 18 and 36, that are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor of 18 and 36 is 18.
Step-by-step explanation:
A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?
Answer:
8 inches
Step-by-step explanation:
h = 2 A/b
A = 160
b = 40
160/40 = 4
2 x 4 = 8 inches
The height of the triangles is 8in.
hope this helps!! p.s. i really need brainliest :)
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 95% pure antifreeze. The company wants to obtain 285 gallons of a mixture that contains 55% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
premium: 165 gallonswater: 120 gallonsStep-by-step explanation:
Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:
0.95a +0(285 -a) = 0.55(285)
a = 0.55/0.95(285) = 165 . . . gallons of 95%
285 -a = 285 -165 = 120 . . . . gallons of water
There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.
On what interval is the function increasing.
When air is pumped into an automobile
tire, the pressure is inversely proportional to
the volume. If the pressure is 35 pounds
when the volume is 120 cubic inches, what
is the pressure when the volume is 140
cubic inches?
Answer:
I think it is 68.5714285714 cubic inches
Step-by-step explanation:
Identify whether the following expression is a polynomial. If it is, identify the type according to the number of terms.
6x^2 + x + 1
Answer:
The expression is a polynomial.
Trinomial (according to the number of terms)
Step-by-step explanation:
Given the algebraic expression, 6x² + x + 1:
A term comprises of a product of numerical coefficient and one of more variables raised to powers. Like terms have the same variables and exponents.
While a polynomial is a term (or finite sum of terms), comprising of variables with positive or zero integer exponents. Strictly defined, the terms within a polynomial expression cannot include variables as a denominator.
A monomial is a single-termed polynomial.
A binomial is a polynomial with two terms.
A trinomial is a polynomial that has exactly three terms.
With these given definitions, we can infer that the given polynomial expression, 6x² + x + 1, is a trinomial, given that it has three terms:
6x² is the leading term with the highest degree or exponent. Specifically, the name of this term is quadratic, given its exponent of 2. x is a linear term, given its exponent of 1. 1 is a constant term.Therefore, the given expression is a polynomial containing three terms, making it a trinomial.
What dp they mean 2 to the fourth equal 16.
Answer:
See Below
Step-by-step explanation:
I think you mean 2 the the fourth power, showing 2, with an exponent of 4.
To calculate this, you multiply your base, 2, by itself as many times as the exponent states. Like, 2x2x2x2 because you are multiplying it 4 times by 2.
2x2=4, then 4x2=8, then 8x2= 16.
Hope this helps!
HURRY I NEED IT FOR 3rd GRADE MATH
Whats 73 + 82
Answer:
155
Step-by-step explanation:
Answer: 155
Step-by-step explanation:
73
+82
155
solve for q
q/-2+17=13
q=
Answer:
q = 8
Step-by-step explanation:
-q/2 + 17 = 13
subtract 17 from each side to get:
-q/2 = -4
to isolate the 'q', multiply each side by -2 to get:
q = 8
what is 120 times 1 over 100
Mary is a lawyer who has an annual salary of $ 147,362. She has to pay
state income tax of 8%. What is the amount that Mary pays in state
income tax?
A $ 12,365.96
B) $ 11,788.92
C)$ 11,788.96
D $ 12,365.92
Answer:
3
Step-by-step explanation:
To calculate the amount that Mary pays in state income tax, we need to find 8% of her annual salary.
Given that Mary's annual salary is $147,362, we can calculate the state income tax as follows:
State Income Tax = (8/100) * Annual Salary
State Income Tax = (8/100) * $147,362
State Income Tax = $11,788.96
Therefore, Mary pays $11,788.96 in state income tax.
The correct answer is C) $11,788.96.
[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]
HELP 35 POINTS
State the domain and range to each of these functions and determine function or not.
Answer:
see below
Step-by-step explanation:
2.x<1, y=all real numbers
3. -1<=x<=3 -3<=y<=2
4. x= all real numbers, y>-2
5. 7<=x<5, 3<=y<1
6.x>-4, y>-1
35 is 25% of what percent
Answer:
140
Step-by-step explanation:
35 ÷25%
35 ÷ 25/100
140
ok I am a little confused here but I think I may know what your asking.
What is 25% of 35? or you could be asking 35 is 25% of what number?
I'll answer both just in case.
What is 25% of 35?: 35 ÷ 4 = 8.75%
35 is 25% of what number?: 35 x 4 = 140
I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.
Answer:
Its D.
Step-by-step explanation:
The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
15lb
Step-by-step explanation:
1lb=453.59
ΔABC is an isosceles triangle with AB = AC, D is the midpoint of BC and AD is joined. Prove that ΔABD ≅ ΔACD
Answer:
ΔABD ≅ ΔACD
Step-by-step explanation: I took the quiz
Determine if the point is a solution to the system of linear equations [tex] \huge \{{ \large \begin{array}{} 2x + 3y = 2 \\ 6y = 5 - 4x \end{array}} [/tex]
Answer:
The system has no solutions.
Step-by-step explanation:
If you stare at it for the bit you can tell the system is impossible. Let's see why:
First of all, rewrite the second equation by bringing all unknowns on the LHS:
[tex]4x+6y=5[/tex].
Then take twice the first equation, doubling every coefficient:
[tex]4x+6y=4[/tex] See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.
2. Select all of the trips that would take 4 hours. a. Drive 40 miles per hour between Gotham City and Smallville, which are 160 miles apart. Take a plane going 900 kilometers per hour from Town A to Town Z. which are 3,600 kilometers apart. c Walk 3.2 miles per hour to the grocery store, which is 8 miles away.
Answer:
i think the answer is 50 if not im sorry if there is another go for that one.
Step-by-step explanation:
What’s the answer to this plssss??
Answer:
2c²
Step-by-step explanation:
8c³d² / 4cd²
= 2 * c²
= 2c²
Zane calculated the missing side length of one of these triangles using the pythagorean theorem. Which triangle is it? a b c d.
Answer:
d
Step-by-step explanation:
50 3.5 3.9 4.4 5.0 5.9 7. 1 8.8 11.8 45 40 35 30 25 20 15 Reduce your greenhouse gas emissions by choosing a car with better gas mileage. MPG A n n u a l T o n so fG H G At Sunny Middle School, Ms. Addison’s class is investigating how greenhouse gases (GHGs) contribute to global climate change. They wrote their research on note cards: • Greenhouse gases cause climate change by trapping heat on the planet. • Greenhouse gases contribute to smog and air pollution, which can cause respiratory diseases, like asthma. • Extreme weather, disruptions to the food supply, and increased wildfires are also caused by greenhouse gases. “Where do greenhouse gases come from?” Mia asked. “One of the most common greenhouse gases is carbon dioxide, also known as CO2. People release CO2 into the atmosphere when we burn fossil fuels (like coal and natural gas) for energy and transportation,” Ms. Addison answered. The class examined the graph to the right. The source for the largest percentage of CO2 emissions for a typical household was vehicles. The students conducted some research and found: > Highway vehicles release about 1.7 billion tons of GHGs each year. > Each gallon of gasoline burned creates 20 pounds of GHG. > A typical vehicle releases 6 to 9 tons of GHG into the atmosphere each year. For their group project, Mia and Ichiro researched hybrid cars that combine gas and an electric motor. “Awesome, so it consumes less fuel and emits less CO2 into the environment,” Ichiro said. “While hybrid cars are better for the environment, I’m seeing that some people are hesitant to buy one because of the higher purchase price,” Mia noted. They found the graph to the right, which shows the miles per gallon (MPG) and the annual tons of GHG produced by 8 different types of cars. If each gallon of gasoline burned created 20 pounds of GHG, and the price of gasoline was $2.454 per gallon, how much money was saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon? Provide your answer to the hundredths place. Note: 1 ton = 2,000 pounds
Answer:
$42,110.65
Step-by-step explanation:
Harry is paying for a meal with groups of friends. They received great service, so he is giving a $20% tip. The meal came to $225.10 before sales tax. How much will he leave as a tip?
Answer:
$45.02
Step-by-step explanation:
The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:
$225.10 × 20% = $45.02
Harry will leave $45.02 as a tip.
Twice a number diminished by seven
A) 7x - 2
B) 2x + 7
C)2x - 7
D) 7x + 2
PLZ HELP IM NOT SURE WITH MY ANSWER π-π
Answer:
2x-7
Step-by-step explanation:
let the no be X
twice the no =2X
diminished by 7= 2X-7
Answer:
C)2x - 7..................
help me pls. will mark brainliest
Answer:
(1,1) and (2,2)
Step-by-step explanation:
you have to locate points that will overlap with both shaded area
14.
Jan spent 3 hours doing homework last week.
She spent 5 hours doing homework this week.
How many more hours did Jan spend on homework
this week than last week?
A. 1 hour
B. 1 hour
D. 11 hours
C. 14 hours
Answer:
D. [tex]\mathrm{1\frac{1}{2}\:hours}[/tex]
Step-by-step explanation:
As it asks how many more, it means plus, plus means addition. So, let find the difference between the two fractions.
This week should be at first, and last week should be after the minus sign.
[tex]5\frac{1}{4} - 3\frac{3}{4}[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction}[/tex]
[tex]5\frac{1}{4} = 4\times5=20+1=21\\\\\frac{21}{4} \\\\3\frac{3}{4} = 4\times3=12+3=15\\\\\frac{15}{4}[/tex]
[tex]\frac{21}{4} - \frac{15}{4}[/tex]
[tex]\mathrm{Subtract\: the\: numerators,\: not \:the \:denominators.}[/tex]
[tex]\frac{21}{4} - \frac{15}{4}\\\\21-15=6[/tex]
[tex]\frac{6}{4} \\\\\mathrm{\underline{Simplify:}}\: \bold{1\frac{1}{2}}[/tex]
In total there are 53,444 adults at a football match there are 4300 more women then men at the match how many men are at the match
Answer:
There are 24,572 men.
Step-by-step explanation:
Let men = m, let women = w.
m + w = 53,444
w = 4300 + m
m + (4300 + m) = 53,444
m + m + 4300 = 53,444
2m + 4300 = 53,444
2m = 53,444 - 4300
2m = 49144
m = 49144/2
m = 24,572
Clare finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in
terms of its radius r in centimeters. This is the graph Clare gets if she allows r to take on any value between 1.2 and 3.
The function that gives the surface area has the radius as a denominator.
The values r can take are; 0.1, 1, 2, and 3Reasons:
The given parameter are;
The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)
The function is used to plot the graph
The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3
The graph of a similar function representing the surface area is attached;
[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]
From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)
Therefore, Claire should use the a domain that gives a continuous graph,
given that r is a denominator of the function, by allowing the radius, r to
take on only natural number values (values larger than 0)
The domain is therefore; 0 < r < ∞
The values r can take should therefore be 0.1, 1, 2, and 3
Learn more about asymptotes here:
https://brainly.com/question/17257427
As long as he's hired by someone, roughly how much can James earn in a month from his part-time job? Assume that his net pay is $8/hour and assume 4.5 weeks
Answer:
36
Step-by-step explanation:
8 * 4.5 = 36
James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.
What is net earnings of James?
Whenever an employee work for a company he recieves a salary for his work now james is working as a part-time employee so he is getting 8 dollars for per hour working.
Suppose james is working one hour every day as a part timer so his income in one month or in 4.5 weeks will be
[tex]\rm James\ income =8\times 4.5\times 7[/tex]
[tex]\rm James\ Income= 252[/tex]
Hence James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.
To know more about income follow
https://brainly.com/question/25745683
Clarke earns
2.5
%
interest a savings account each year. If Clarke deposits
$
2
,
000.00
into a savings account, how much interest will Clarke earn during the first year?
Answer:
$ 50.00
Step-by-step explanation:
Hope this helps!
Draw a circle. Shade five sixths of it. What percent circle is not shaded?
