Answer:[tex]98.13\ \text{or}\ 261.87^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\cos \beta =-\dfrac{\sqrt{2}}{10}[/tex]
As the value of cosine is negative, therefore the angle must lie in II or III quadrant
[tex]\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}[/tex]
OMLLLL PLS HELP LOLLL OMG!
Diana invests $4000 for two years at a rate of 2.5%. How much interest will she earn?
a
$200
b
$4200
c
$20
d
$2,000
Answer:
D: $2,000
Step-by-step explanation:
If im wrong contact me at Mousycritter#2842 on discor.d if you seek more help
Calculate the volume of the composite figure. Round to the nearest tenth, if necessary.
Answer:
367
Step-by-step explanation:
l x w x h
=
6 x 4 x 15.3 = 367.2 ≈ 367
l = length
w = width
h = height
= Simplify the following algebraic expressions given below into their equivalent standard forms.
(x + 10)(x + 10)
Answer:
https://tex.z-dn.net/?f=(x%2B10)%5E%7B2%7D%20
Step-by-step explanation:
find the means 01023 234
Answer:
This is not really clear, I will assume that the values in the question are:
{0, 1, 0, 2, 3, 2, 3, 4}
For a set of N elements, {x₁, x₂, ..., xₙ}
The mean of the set is given by:
[tex]Mean = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In the case of our set, {0, 1, 0, 2, 3, 2, 3, 4}, we have 8 values.
Then the mean of our set is:
[tex]Mean = \frac{0 + 1 + 0 + 2+ 3 + 2 + 3 + 4}{8} = \frac{15}{8} = 1.875[/tex]
Mrs. Sanchez promised each of her 35 fifth grade students one fourth of a pie for Pi Day (March 14th). There are 6 pies left at Costco. Does she have enough for her 35 students? Explain how you know. If she doesn't have enough, how many more pies does she need?
Answer: No, she needs 3 more pies.
Step-by-step explanation:
Hi, no she does not have enough pie, you would know by multiplying the amount of pies she has by 4, as she promised to give them 1/4 of a pie each, leaving her to only have 24 pieces in toShe would need at least 9 pies to have enough for all 35 students, plus an additional 1/4 sized slice left over.
what are the solution to 2logx=log(2x+3)
more of my brothers wwork for yalll have fun and tysm!
Answer:
i cant wait to start are life together, with are son. im so thankful for u becca. ily
Step-by-step explanation:
Find the volume of the prism.
The volume is
cubic meters.
Answer:
12.5m³
Step-by-step explanation:
V = w × h × l = 1.43 × 3.13 × 2.8 = 12.5m³
Have a good day
Find the equation of the straight line having a slope root 3 and passing through the point(-1,5)
Given:
Slope of a straight line is [tex]\sqrt{3}[/tex].
The line passing through the point (-1,5).
To find:
The equation of the straight line.
Solution:
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope and [tex](x_1,y_1)[/tex] is the point.
The line passing through the point (-1,5) with slope [tex]\sqrt{3}[/tex]. So, the equation of the line is:
[tex]y-5=\sqrt{3}(x-(-1))[/tex]
[tex]y-5=\sqrt{3}(x+1)[/tex]
[tex]y=\sqrt{3}x+\sqrt{3}+5[/tex]
Therefore, the equation of the straight line is [tex]y=\sqrt{3}x+\sqrt{3}+5[/tex].
Find the measures of the numbered angles in the diagram below?
Answer:
9) 130° (vertical to 130°)
10) 50° (supplementary to 130°, 180° - 130° = 50°)
11) 130° (alternate exterior to 130°)
12) 130° (vertical to 130°)
Step-by-step explanation:
PLEASE HELP !!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!
Answer:
3:2
Step-by-step explanation:
I'd say 3:2 because when you divide 45/30, you get 3/2, which is the same as 3:2. Hope this helps!
Answer: 1 boy for every 3 girls
Step-by-step explanation:
I put 30/45 into a fraction and simplified.
For all three water parks the cost of a function of numbers of right compare the functions for all three water parks in terms of the rate and change describe the impact it has on the total cost of the attending of each park
Answer:
See Explanation
Step-by-step explanation:
Given
See attachment for complete question
First, we determine the cost function for all the three rides.
Ride A
From the graph, we have the following points
[tex](x_1,y_1) = (0,8)[/tex]
[tex](x_2,y_2) = (2,12)[/tex]
Calculate slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12-8}{2-0}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m =2[/tex] --- This represents the rate per ride
The equation is the calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 2(x - 0) + 8[/tex]
[tex]y = 2(x) + 8[/tex]
[tex]y = 2x + 8[/tex]
So, the cost function is:
[tex]C(x) =2x + 8[/tex]
Calculate the cost of admission i.e. x=0
[tex]C(0) = 2*0+8 = 8[/tex]
So, we have:
[tex]C(0) = 8[/tex] --- Admission Charge
[tex]C(x) =2x + 8[/tex] --- Cost function
[tex]m =2[/tex] --- Rate per ride
Ride B
From the table, we have the following points
[tex](x_1,y_1) = (0,12)[/tex]
[tex](x_2,y_2) = (4,15)[/tex]
Calculate slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{15-12}{4-0}[/tex]
[tex]m = \frac{3}{4}[/tex]
[tex]m = 0.75[/tex] --- This represents the rate per ride
The equation is the calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 0.75(x - 0) + 12[/tex]
[tex]y = 0.75(x) + 12[/tex]
[tex]y = 0.75x + 12[/tex]
So, the cost function is:
[tex]C(x) = 0.75x + 12[/tex]
Calculate the cost of admission i.e. x=0
[tex]C(0) = 0.75*0 + 12=12[/tex]
So, we have:
[tex]C(0) =12[/tex] --- Admission Charge
[tex]C(x) = 0.75x + 12[/tex] --- Cost function
[tex]m = 0.75[/tex] --- Rate per ride
Ride C
No additional fee;
So, the cost function is;
[tex]C(x) = 30[/tex]
In summary, we have:
Ride A
[tex]C(x) =2x + 8[/tex] --- Cost function
[tex]m =2[/tex] --- Rate per ride
Ride B
[tex]C(x) = 0.75x + 12[/tex] --- Cost function
[tex]m = 0.75[/tex] --- Rate per ride
Ride C
[tex]C(x) = 30[/tex] --- Cost function
By comparison
Ride A has the highest rate per ride of (#2), followed by ride B with a rate of #0.75 per ride.
Ride C has no charges per ride
The impact on the total cost is that:
Ride A: People that opt for ride A will pay the least to get admitted (i.e #8) but they pay the most (i.e. #2) per each ride they take
Ride B: People that opt for ride B will pay #12 to get admitted, but they pay 0.75 per each ride they take
For A and B, the overall cost depends on the number of rides taken.
Ride C: Irrespective of the number of rides taken, people that opt for ride C will pay the same flat fee of #30
See the file below to see my question :)
I found a but i dont know how to find B . If you can include a step by step explanation i would appriciate it.
9514 1404 393
Answer:
a = 3b = -18Step-by-step explanation:
Using the least common denominator, we have ...
[tex]2-\dfrac{x+1}{x-2}-\dfrac{x-4}{x+2}\\\\=\dfrac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)}\\\\=\dfrac{2(x^2-4)-(x^2+3x+2)-(x^2-6x+8)}{x^2-4}\\\\=\dfrac{(2-1-1)x^2+(-3+6)x+(-8-2-8)}{x^2-4}=\boxed{\dfrac{3x-18}{x^2-4}}[/tex]
The values of a and b are ...
a = 3
b = -18
simplify using laws of exponents. Write your asnwer using positive exponents
Answer: look at image below. it shows you the steps
Step-by-step explanation:
Hope this helped :)
can someone explain how this is done?
Answer:
Just put in the values in the equation for example 4(1)-5<7 and solve it if the eqution is true at the end than that the right answer
Step-by-step explanation:
Answer:
x = 2
x < 2
x < 3
Step-by-step explanation:
2x + 5 = 9
Since there is an addition sign in front of 5, you must do the opposite: subtraction. Subtract 5 from 9.
9 - 5 = 4.
Lastly, divide the difference by the number in front of x (2).
2x = 4
4 ÷ 2 = 2
x = 2
--------------------------------------------------------------------------------------------------------------
2x + 5 < 9
Again, subtract 5 from 9.
9 - 5 = 4
Lastly, divide the difference by the number in front of the x (2).
2x = 4
4 ÷ 2 = 2
x < 2
--------------------------------------------------------------------------------------------------------------
4x - 5 < 7
Since there is a subtraction sign in front of the 5, you must do the opposite: addition. Add 5 to 7.
5 + 7 = 12
Lastly, divide the sum by the number in front of the x (4).
4x = 12.
12 ÷ 4 = 3
x < 3
Neeeeeeeeeed helppppppppppppp
In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the equation F=ma.
Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.
Note: The unit for Force (the Newton) is measured in .
Answer:
2.2
Step-by-step explanation:
if force equals mass times acceleration then you divide 7.92(the force) by 3.6(the mass) to find out what would be multiplied by 3.6 to get 7.92.
Sorry if I'm wrong.
The acceleration of an object with F=7.92 newtons and m=3.6 kilograms is 2.2 m / s²
What is force:Force is a pull or push upon an object that causes motion .
Mathematically, force is express as follows:
F = ma
where
m = mass
a = acceleration
Force is measured in Newton.
Let's find the acceleration of an object with F =7.92 newtons and m = 3.6 kilograms.
7.92 = 3.6a
divide both sides by 3.6
a = 7.92 / 3.6
a = 2.2 m / s²
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In Ty's English class, 70% of the students completed an essay by the due date. There are 30 students in Ty's English class. How
many completed the essay by the due date?
Please help out and explain the best you can ! Thank u !:))
Answer:
21 people completed the assignment by the due date, hope this helps !!!
Step-by-step explanation:
70% of 30 is 21 according to my calculator lol :D
brainliest would be swag ?
Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft
High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given trigonometric function is y=23-5cos(πt/6).
The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.
To find the high and low tide depths, we need to find the maximum and minimum values of y.
The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.
The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.
To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.
When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.
When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.
Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.
Therefore, option B is the correct answer.
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Factor the following quadratic function to find the zeros.
Answer:
Answer is A.
Step-by-step explanation:
x^2-15x-16
x^2+x-16x-16
x(x+1)-16(x+1)
(x+1)(x-16)=0
x=-1 and x=16
Suppose that an individual has a body fat percentage of 19.3% and weighs 187 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answer:
The individual has 36.09 pounds of body fat.
Step-by-step explanation:
Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:
(187 x 19.3) / 100 = X
3.609.1 / 100 = X
36.091 = X
Therefore, the individual has 36.09 pounds of body fat.
PLESE HELP ME! WILL GIVE BRAINLIEST!
Find the area of the shaded regions.
Answer:
[tex]A=41.86 cm^{2}[/tex]
Step-by-step explanation:
The area of the shaded regions= [tex]\frac{0}{360}* \pi [(4)^{2}-(3)^{2}][/tex]
[tex]=\frac{120}{360} *3.14*(10)(4)\\[/tex]
[tex]=\frac{3.14*10*4}{3}[/tex]
[tex]A=41.86 cm^{2}[/tex]
--------------------
hope it helps...
have a great day!!
HELP PLS
you just have to solve the inequality but I’m not smart and don’t know how
At a car wash fundraiser, $168 was raised for washing 24 cars. The next day, $280 was raised for washing 40 cars. Are the rates equivalent? Explain your reasoning.
Step-by-step explanation:
168/24 = 7 dollars per car
280/40 = 7 dollars per car
the rates are equivalent.
During a recent storm, 1.7 inches of rain fell each hour. If the storm lasted for 4 hours, how much rain fell during the entire storm?
A 4.8
B 5.9
C 6.3
D 6.8
Answer:
D) 6.8 inches
Step-by-step explanation:
1.7 x 4 = 6.8 inches
The Clinton family is building a circular swimming pool. If the radius of the pool is 5 feet, what is its circumference? Use π = 3.14 to solve.
Formula:2 pi R
R=5
5*2=10
3.14*10=34.1
The circumfrence is 34.1
34.1
Use algebra to show that the recurring decimal 0.2813 =
557
198
Step-by-step explanation:
tell me the answer when u get too!!
btw its 557/1980
The proof is shown in the solution.
What are recurring decimals?A repeating decimal or recurring decimal is a decimal representation of a number whose digits are periodic, and the infinitely repeated portion is not zero.
Given that, show that the recurring decimal 0.2813 = 557 / 198
Let 0.2813 be x
0.2813 = x......(i)
2813.2813 = 10000x......(ii)
Subtracting eq(i) from eq(ii)
2813 = 999x
x = 2813 / 999
x = 557 / 198
Hence, proved
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$8,000 was deposited into an account that was compounded annually at 6% interest over 7 years. How much interest was earned on the account? Interest=(
Answer:$4029
Step-by-step explanation:
Given
Principal amount [tex]P=\$8000[/tex]
Interest rate [tex]R=6\%[/tex]
Time period [tex]T=7\ yr[/tex]
Amount after T years is given by
[tex]A=P[1+R\%]^T[/tex]
Put values
[tex]\Rightarrow A=8000[1+0.06]^7\\\Rightarrow A=\$12,029[/tex]
Interest is the difference of amount and principal, that is
[tex]\Rightarrow C.I.=12,029-8000=\$4029[/tex]
Find the perimeter. Simplify your answer.
Please put an actual answer.
Answer:
4p - 2
Step-by-step explanation:
2(p-1) + 2p =
2p -2 +2p =
4p - 2
Find the surface area of the figure below. Leave answers in terms of 7 for answers that contain T. Round to the nearest hundredthin
necessary
5.4 ft
4 ft
4ft
82.7 ft
Oь
59.2 ft2
Oc
35.5 ft
Od
44 ft
Answer:
Hello! 59.2 is our answer
This is because for all the triangles we do 5.4 x 4 = 21.6 then I divide by 2 cause thats the formula when doing triangles so I get 10.8 and sense all the triangle sides our the same I do 10.8 x 4 and get 43.2 then for the bottom side I just have to do 4 x 4 cause thats the formula and get 16 then I add these up so 43.2 + 16 = 59.2 and We get our answer 59.2 Hope this helps!