Answer:
2√3/3
Step-by-step explanation:
Sec(330°)
=1/cos(330°)
=1/√3/2 (since Cos (330°)=√3/2
=1×2/√3
=2/√3×√3/√3
=2√3/3
Answer:
[tex]\implies \sec 330^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given :-
[tex]\sec 330^o [/tex]And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,
[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]
Using this ,
[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]
And the value of sec 30° is ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]
And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]
Hence the required answer is 2√3/3.
Find the measure of the vertex angle in the figure below.
A.) 48°
B.) 96°
C.) 66°
D.) 84°
Answer:
∠m = 84º
Step-by-step explanation:
48 + 48 + x = 180
96 + x = 180
x = 84º
hope this helped!
Answer:
∠m = 84º
Step-by-step explanation:
Solve the system by substitution
Answer:
y=1 x=9
Step-by-step explanation:
-4(9y) + y = -35
-36y+y=-35
-35y= -35
y=1
To check-
-4(9) + 1 = -35
-36 + 1 =-35
In a class there are 12 girls and 18 boys. What is the ratio of girls to students in simplest form?
Answer:
Step-by-step explanation:
12:18
can both be divided by 6
answer is 2:3
Answer:
6:9
Step-by-step explanation:
that's the simplest form
The diameter of a small pizza is 16 centimeters this is 2 centimeters more than two fiths of the diameter of a large pizza find the diameter of the large pizza
Answer:
35 cm
Step-by-step explanation:
Diameter of small pizza = 16
Let Diameter of large pizza = x
Diameter of small pizza = 2/5(x) + 2
2/5(x) + 2 = 16
(2x / 5) + 2 = 16
2x / 5 = 16 - 2
2x / 5 = 14
multiply both sides by 5
2x = 14 * 5
2x = 70
Divide both sides by 2
x = 70/2
x = 35
Diameter of large pizza = 35 mm
What is the price for the amount of fuel that Roselyn will use for the entire drive?
Answer:
$15
Step-by-step explanation:
Total distance to be covered = 150km
Fuel efficiency = 6 km per l
150 / 6 = 25
Total fuel cost needed (including existing fuel) = Fuel needed x cost per l fuel
= 25 x 0.6
= 15
whats the answer giving brainliest
Answer:
A
Step-by-step explanation:
Answer:
c x-110
Step-by-step explanation:
if im wrong im so sorry
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now. According to the model, which of the following gives the rate at which the population of the city will be changing at time t=5 ?
A) P(5)
B) P(6)−P(4)
C) P(5)/5
D) P'5
Answer:
D
Step-by-step explanation:
P prime of t indicates a rate of change
The required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.
Given that,
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now.
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
The rate of the population expression at t = 5 is given by the differentiation of the expression at t = 5 because differentiation represents the rate for the given equation of population. i.e.
P'5
Thus, the required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.
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In order to solve the following system of equations by subtraction, which of the following could you do before subtracting the equations so that one variable will be eliminated when you subtract them?
4x-2y=7
3x-3y=15
A. Multiply the top equation by-3 and the bottom equation by 2
B. Multiply the top equation by 1/3
C. Multiply the top equation by 15 and the bottom equation by 7
D. Multiply the top equation by 3 and the bottom equation by 4.
9514 1404 393
Answer:
D. Multiply the top equation by 3 and the bottom equation by 4.
Step-by-step explanation:
If you're using subtraction, you want the coefficients of one of the variables to be the same in both equations. If the variable you choose is x, then you need to multiply the top equation by the coefficient of x in the bottom equation (3), and the bottom equation by the coefficient of x in the to equation (4). Doing this will make both x-coefficients equal to 3×4 = 12. In short, ...
Multiply the top equation by 3 and the bottom equation by 4.
What is the value of cos(4pi/3)
Answer: B.-1/2 on edg
Answer:
Answer: B.-1/2
Step-by-step explanation:
I need help plz!!!!!
Answer:
x = 0
Step-by-step explanation:
If one were to fold this figure in half over the line x = 0, then one would end up with a single figure, with no overhang. Hence x = 0 is the line of symmetry. Note; x = 0, can also be called the y-axis.
Answer:
Option D) x = 0
Step-by-step explanation:
Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object. Here we see that the object's Axis of symmetry is the line x =0
The line x = 0,1,2,3,4,5,..... and so on are all vertical lines and
The line y=0,1,2,3,4,5,..... and so on are all horizontal lines
In this this case the line x = 0 is the Axis of symmetry which divides the object in two equal halves.
A sponge filters water to eat microscopic food. A sponge can filter 8 liters of water in 10 hours or 12 liters in 15 hours. Is this relationship proportional?
Answer:
Yes.
Step-by-step explanation:
It is given that, A sponge can filter 8 liters of water in 10 hours or 12 liters in 15 hours.
8 L = 10 h
1 h = [tex]\dfrac{10}{8}[/tex] = 1.25 h
or
12 L = 15 h
1 h = [tex]\dfrac{15}{12}[/tex] = 1.25 h
Hence, this relationship is proportional.
There are 91 days until the craft sale. Autumn needs to make 817 rings before the sale. She wants to make about the same number of rings each day. About how many rings should she make each day? Explain how Autumn can use compatible numbers to estimate
Answer:
9 rings
Step-by-step explanation:
Given that :
Number of days until craft sale = 91 days
Number of rings required to make before sale = 817 rings
If same number of rings is made per day;
Number of Daily ring production will be ;
817 / 91
= 8.978 rings
= 9 rings (approximately)
Find the 15th term: 1/2, 1/4, 0, -1/4,...
Step-by-step explanation:
a(n) = a +(n-1)d
d=1/4 -1/2 =-1/4
°.° a(15) = 1/2 +(15–1) -1/4
a(15) = 1/2 -3.5
=-3
hope it will help
Please help 100 points + brainlest
Look at the pictures below and answer them
Answer:
the answers are bolded below!
Step-by-step explanation:
1. y-y1=m(x-x1)
line one- 14-4/6-1 = 10/5 = 2
so.... y-1=2(x-4)
simplified y=2x-7
line two- -2-23/1-6 = -25/5 = -5
so..... y-6=-5(x-23)
simplified y=-5x+121
b- they will intersect 1 time at (18.2,29.5)
2. No, it the system has infinitely many solutions, then the lines would be on top of each other. But since there are only two solutions, then your answer would not be infinitely many solutions.
3. y=-2x+1. This would not intersect with y=-2x+3 because they are parallel. the slopes are the same so they will each travel at the same rate but they have different y intercepts.
4. y=-2x+7 ------> x=-1/2y-7/2
y=-3(-1/2y+7/2)+8 -----> y=5
y=-2x+7 ---> 5=-2x+7 ----> x=1
one solution at (1,5) because f graphed, the lines would only intersect once.
b- x=5
3x-y=5 ---> 3(5)-y=5 ---> y=10
one solution at (5,10) because f graphed, the lines would only intersect once.
c- no solutions because if it were to be graphed, the lines would not intersect at all.
d- no solutions because if it were to be graphed, the lines would not intersect at all.
e- no solutions because if it were to be graphed, the lines would not intersect at all.
i am in algebra two so you can trust my answer. If you need more help lmk in the comments. Happy holidays and stay safe!
what is 1.75 divided by 7
Answer:
0.25
Step-by-step explanation:
1.75/7 would equaln0.25, use your calculator if you have one
The decimal 1.75 when divided by the number 7 gives the decimal 0.25.
In mathematics, a decimal is a base-10 numeral system applied to characterize real numbers. It's known as "decimal" because it uses ten dissimilar symbols, videlicet the digits 0 through 9, to portray all achievable values. The decimal system is the most generally used numeral system in day-to-day life.
The decimal system works on a positional memorandum principle, where each digit's position determines its value within the number.
The decimal 1.75 can be written as a fraction as follows:
[tex]1.75 = \dfrac{175}{100}[/tex]
[tex]= \dfrac{7}{4}[/tex]
To divide 1.75 by 7, let's divide [tex]\dfrac{7}{4}[/tex] by 7.
[tex]\dfrac{7}{4} \div 7\\= \dfrac{7}{4} \times \dfrac{1}{7}\\= \dfrac{1}{4} \times 1\\= \dfrac{1}{4}\\= 0.25[/tex]
Thus, 0.25 is 1.75 divided by 7.
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will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
x=15
Step-by-step explanation:
Merry christmas eve may you guys please help me with this :)
Answer:
C
Step-by-step explanation:
amd merry Christmas to you too
Answer:
its C.
Step-by-step explanation:
Find the exponential equation for the given information. Pls help
Answer:
y = 12 [tex](2.9)^{x}[/tex]
Step-by-step explanation:
The standard form of the exponential function is
y = a [tex](b)^{x}[/tex]
Find a and b by substituting ordered pairs from the table into the equation
Using (0, 12 ), then
12 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), so
a = 12, then
y = 12 [tex]b^{x}[/tex]
Using (1, 34.8 ) , then
34.8 = 12 [tex]b^{1}[/tex] ( divide both sides by 12 )
b = 2.9
Thus exponential function is
y = 12 [tex](2.9)^{x}[/tex]
Andre ran 2 km in 15 minutes Jada ran 3 km in 20 minutes did they run at the same speed?
Answer:
No
Step-by-step explanation:
Speed = Distance/Time
andre: 2km/15min = 4.97097
jada: 3km/20min = 5.59234
jada ran faster
what is the slope of the line represented by 5x- 12y = 24
Answer: Slope= 0.833/2.000= 0.417
Step-by-step explanation:
Answer:
x=12/5y+24/5
Step-by-step explanation:
5x-12y=24
add 12y to both sides
problem comes down to 5x=12y+24
divide everything by 5
What Is the solution for the equatlon 6x - 8 = 4X? X=
(Input whole number only).
Answer:
x = 4
Step-by-step explanation:
6x - 8 = 4x
-6x -6x
-8 = -2x
-----------
-2
x = 4
There are 4 more boys than girls in a
class. If there are 16 students in the
class, how many are boys? How many are
girls?
Set up an equation to show this, and then
solve.
Answer:
There are 10 boys and 6 girls in the class
Step-by-step explanation:
The given parameters are;
The number of boys = The number of girls + 4
The number of students in the class = 16
Let x represent the number of girls in the class and let y represent the number of boys in the class
Therefore;
y = x + 4...(1)
x + y = 16...(2)
Making y the subject of equation (2) gives;
y = 16 - x
Equating the values of y from equation (1) and equation (2) gives;
x + 4 = 16 - x
Which gives;
2·x = 16 - 4 = 12
x = 12/2 = 6
x = 6
The number of girls = x = 6
From equation (1), we have;
y = x + 4 = 6 + 4 = 10
y = 10
The number of boys = y = 10.
what is the domain of this graph
Answer:
A
Step-by-step explanation:
b is the range
1) If you are driving 75 MPH and you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seconds? explain you're answer, pls !
Answer:
0.125 feet
75/60 to get minutes
0.02/60 to get seconds
multiply by 6
Step-by-step explanation:
Which point best represents 10
Answer:
The answer is Q
Step-by-step explanation:
√10= 3.16
sum compounded alluny
Shar
d) The difference between the annual and semi-annual compound interest on
of money is Rs 482 at the rate of 20 % per annum for 2 years. Find the sum
Answer:
Rs 20000
Step-by-step explanation:
Let the sum is x.
The rate of interest, r=20%=0.2
Time, t=2 years.
Total amount after t years, [tex]A= x \left(1+\frac{r}{n}\right)^{tn}[/tex]
The value of n when compounded annually, n=1
So, the total amount,
[tex]A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2[/tex]
The compound interest when compounded annually,
[tex]I_1 =x(1.2)^2-x[/tex]
The value of n when compounded semi-annually, n=2
So, the total amount, [tex]A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4[/tex]
The compound interest when compounded semi-annually,
[tex]I_2 =x(1.1)^4-x[/tex]
As the difference between the annual and semi-annual compound interest on x amount of money is Rs 482, so
[tex]I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\[/tex]
x=20000
Hence, the sum is Rs 20000.
A farm is loading grain corn into a truck. After loading 15 bushels of corn, the total weight of the corn is 840 pounds. If the weight of the corn is proportional to the number of bushels loaded, then how many pounds are in the truck after 28 bushels have been loaded?
Answer:
56
Step-by-step explanation:
Given f(x) = 6(1 − x), what is the value of f(−7)?
Answer:
[tex]{:}\longrightarrow\tt f (x)=6 (1-x)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6 (1-(-7))[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6 (1+7)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6(8)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=48 [/tex]
[tex]\therefore\sf f (-7)=48 [/tex]
Answer:
:⟶f(x)=6(1−x)
{:}\longrightarrow\tt f (-7)=6 (1-(-7)):⟶f(−7)=6(1−(−7))
{:}\longrightarrow\tt f (-7)=6 (1+7):⟶f(−7)=6(1+7)
{:}\longrightarrow\tt f (-7)=6(8):⟶f(−7)=6(8)
{:}\longrightarrow\tt f (-7)=48:⟶f(−7)=48
\therefore\sf f (-7)=48∴f(−7)=48
can someone pls help me with this? i’d really appreciate it :)
Answer:
y = 2x - 12 or A
Step-by-step explanation:
6x - 3y = 36 Subtract 6x from both sides.
-3y = 36 - 6x Divide by - 3
-3y/-3 = 36/-3 - 6x/-3
y = -12 + 2x
The answer is A
A basket contains 40 mangoes out of which 22 are good . Find the percentage of the mangoes that are bad
Answer:
45% of the mangoes are bad.
Step-by-step explanation:
Given that:
Number of mangoes in basket = 40
Number of good mangoes = 22
Number of bad mangoes = Total mangoes - Good mangoes
Number of bad mangoes = 40-22
Number of bad mangoes = 18
Percent of bad mangoes = [tex]\frac{bad\ mangoes}{total\ mangoes}*100[/tex]
Percent of bad mangoes = [tex]\frac{18}{40}*100[/tex]
Percent of bad mangoes = 0.45*100 = 45%
Hence,
45% of the mangoes are bad.