Answer:
22 degrees
Step-by-step explanation:
The angle that measures 158 degrees and angle u are supplementary angles, meaning they add up to 180 degrees.
Angle s and angle u are corresponding angles, meaning that they are congruent.
This means that the angle that measures 158 degrees and angle s are supplementary as well. Knowing this, we can construct the following equation:
[tex]180=158+s[/tex]
Subtract both sides by 158
[tex]180-158=158+s-158\\22=s[/tex]
Therefore, angle s has a measure of 22 degrees.
I hope this helps!
this year a farmer planted 300 acres of corn. this was 1.5 times as many acres as he planted last year. how many acres did he plant this year?
Niles scored 70, 74, 72, 71, 73, and 96 on his 6 Geography test. Calculate the mean and median.
Answer:
Mean=76
Median=72.5
Step-by-step explanation:
Mean= 70+71+72+73+74+96
456/6=76
Median = 70,71,72,73,74,96
72+73=145/2=72.5
Mean= 76
Median= 72.5
The first step is to rearrange the numbers
70, 71, 72, 73, 74, 96
1. mean= sum of terms/number of terms
= 70+71+72+73+74+96/6
= 456/6
= 76
2. Median can be described as the middle number, the median can be calculated as follows
= 72+73/2
= 145/2
= 72.5
Hence the mean is 76 and the median is 72.5
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I am not understanding this topic in math and I have a huge test tomorrow and I need to sleep, I forgot about this assignment and I would really appreciate it if someone could help me out with this!!! ❤️
Answer: (-3,-4)
Step-by-step explanation:
If the any x variable is repeated, it is not a function!
The ladder of a fire truck extends 41 ft. to the top of the
building. If the distance between the wall and the base of the
ladder is 9ft. How tall is the building?
Answer:
Step-by-step explanation:
By the Pythagorean Theorem a^2+b^2=c^2 or the sum of the squared sides is equal to the hypotenuse squared.
41^2=9^2+h^2
h^2=41^2-9^2
h^2=1600
h=40 ft
To have 50,000 in 5 years, how much should you invest if the compound interest is 5%?
ANSWER
47,500
STEP BY STEP:
1/8 and 9/5 common denominator and solve the problem
Answer:
Step-by-step explanation:
You haven't stated a problem. Do you want to add the fractions together? Subtract them?
Least common multiple of 8 and 5 is 40.
1/8 = 5/40
9/5 = 72/40
1/8 + 9/5 = 5/40 + 72/40 = 77/40 = 1 37/40
if the water bill costs 487.75.and the electict bill costs 952.50.how much will be needed to pay for the bill?
1.what is asked?
2.what are given?
3.what operation will be used?
4.what is the number sentence?
5.what is the sulotion and answer?
1. it is asked to find how much will be needed to pay for the bill
2. 487.75 952.50
3. multiply
4. I don't know
5. 487.75 multiplied by 952.50 equals 464,581.875
A Ferris wheel has a radius of 37 feet. The bottom of the Ferris wheel sits 0.6 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise.
Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o'clock position, a.
f(a)=
Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s.
g(s)=
Answer:For the first one, it should be f(a)=37.8(1-cos(a))+.7. My dearest apologies because I do not know why. I just used context from the previous questions. I hope that helps..!
Step-by-step explanation:
The height of the given Ferris wheel can be described with the aid of a
sinusoidal function.
The height above the ground in terms of the angle turned, a, is
presented as follows;
[tex]\underline{f(a) = 37 \cdot sin \left (a - \dfrac{\pi}{2} \right) + 0.6}[/tex]The height above the ground in terms of the distance traveled, s, is
presented as follows;
[tex]\underline{g(s) = 37 \cdot sin \left (\dfrac{37}{s} - \dfrac{\pi}{2} \right) + 0.6}[/tex]Reason:
The general form of an equation of a Ferris wheel is presented as follows;
f(a) = A·sin(a + C) + D
Where, the amplitude, A = The radius = 37 ft.
D = The midline = Height above the ground + The amplitude
D = A + 0.6 = 37 + 0.6 = 37.6
The 6 O'clock is the lower most position, therefore, at the start, where, 'B·t + C' = 0, we have;
f(a) = A·sin(0 + C) + D
Therefore
f(a) = 37·sin(0 + C) + 37.6 = 0.6
f(a) = 37·sin(C) = 0.6 - 37.6 = -37
[tex]sin(C) = \dfrac{-37}{37} = -1[/tex]
C = sin⁻¹(-1) = [tex]-\dfrac{\pi}{2}[/tex]
The equation of Ferris wheel is presented as follows;
Which gives the equation of the height above the ground (in feet) in terms
of the number of radians, a, you have swept out from the 6 O'clock
position is given as follows; Ferris ;
[tex]\underline{f(a) = 37 \cdot sin \left (a - \dfrac{\pi}{2} \right) + 0.6}[/tex]Part 2
s = a·r = a·A
Therefore;
[tex]a = \dfrac{r}{s} = \dfrac{A}{s} = \dfrac{37}{s}[/tex]
Plugging the value of s into the above equation gives the function that
determines the height above the ground (in feet) in terms of the number of
feet traveled g(s) as follows;
[tex]\underline{g(s) = 37 \cdot sin \left (\dfrac{37}{s} - \dfrac{\pi}{2} \right) + 0.6}[/tex]Learn more here:
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hi im 7th grade and i feel like people think i smell when i do everything to not smell. i wake up take a shower with soap aplly deoderant and brush teeth. any tips
Answer:
Step-by-step explanation:
This might be a hygiene problem. What causes the unpleasant smell is the bacteria that build up on your sweaty skin and react with sweat and oils to grow and multiply when sweat reacts with bacteria on the skin. These bacteria break down proteins and fatty acids, causing body odor in the process. If deodorant isn’t good enough , I recommend perfume, the perfume smell lasts longer than deodorant I would think. But shower everyday, full clean down, but if ur hygiene is ok, I recommend going to the doctor for a checkup. Hopefully your problem will be resolved. Also use lotion.
Translate the verbal expression into an algebraic expression
Six more than the quotient of a number and 4.
Answer:
4x+6
Step-by-step explanation:
The quotient of a number and 4 translates to 4x because, "a number" in the expression is x, and it is being multiplied by 4, so you get 4x. six more than would mean adding 6. So the answer would be 4x+6. Thank you! Good Luck!
Solve for the variable indicated
-4x-8y=36 solve for x
Answer:
x = -2y - 9
Step-by-step explanation:
First isolate the variable by putting the x on a side by itself.
-4x=36+8y (8y becomes positive when it changes sides)
Then divide the entire equation by -4 to make the x stand alone.
x = -9 -2y
Some teachers prefer the variables at the beginning of the equations so it could also read
x = -2y - 9
Hello there!
Question:-
[tex]-4x-8y=36[/tex]
We need to find the value of x.
Solution:-
[tex]\sf \longmapsto-4x-8y=36[/tex]
Firstly, Add 8y to both sides :-
[tex]\sf \longmapsto \: - 4x - 8y+8y=36+8y[/tex]
On Simplification:-
As (-) and (+) equals to (-),It Will be 8y-8y.Answer would be 0.
[tex]\sf \longmapsto \: - 4x - 0 = 36 + 8y[/tex]
[tex]\sf \longmapsto \: - 4x = 8y + 36[/tex]
Then, Divide both sides by -4:-
[tex]\sf \longmapsto \: \dfrac{4x}{ - 4} = \dfrac{8y + 36}{ - 4} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: x = - 2y - 9[/tex]
______________________________________
Henceforth the value of x is :-
[tex] \boxed{\tt \: x = - 2y - 9}[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
2 9/10 as a decimal number
2 9/10 in decimal form would be,
[tex]2.9[/tex]
if you have any other questions like this,
let me know ill help you!!
Answer:
2 9/10=2.9
Step-by-step explanation:
We know that 9/10 is the same as 9÷10
Therefore:
2 9/10 = 2 + (9÷10)
Then using
Long Division for 9 divided by 10
we have
=2+0.9=2.9
Please give me brainliest because I worked hard on this answer and I am trying to level up
Which of the following are magnitudes for rotational symmetry of the square below about the marked point?
Choose all answers that apply:
A : 45
B : 180
C : 270
D : None of the above
CCCCCCCCCCCCCCCCCCCCC
Answer:
b
Step-by-step explanation:
that was the right answer on khan academy
Use the information given to enter an equation in standard form.
Slope is 0, and (4, 6) is on the line.
Answer:
[tex]y - 6 = 0[/tex]
Step-by-step explanation:
Given
[tex]m = 0[/tex] --- slope
[tex](x_1,y_1) = (4,6)[/tex]
Required
The equation in standard form
This is calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
So, we have:
[tex]y - 6 = 0(x - 4)[/tex]
[tex]y - 6 = 0[/tex]
In standard form, the equation is:
[tex]y - 6 = 0[/tex]
Liquid A and liquid B are mixed to make liquid C.
Liquid A has a density of 70 kg/m Liquid A has a mass of 1400 kg
Liquid B has a density of 280 kg/m Liquid B has a volume of 30 m
Work out the density of liquid C.
Answer:
Density is defined as:
Density = mass/volume.
We know that:
For liquid A:
Density = 70kg/m^3
Mass = 1400kg
Then the volume is:
Volume = mass/density = (1400kg)/(70kg/m^3) = 20 m^3
For liquid B:
Density = 280 kg/m^3
Volume = 30m^3
We can find the mass of liquid B as:
mass = density*volume = (280kg/m^3)*(30m^3) = 8400 kg
We know that liquid C is a mixture of liquid A and B.
Then the mass of liquid C will be equal to the sum of the masses of liquid A and B, then:
Mass of liquid C = 1400kg + 8400kg = 9800kg
The same happens for the volume, then:
Volume of liquid C = 30m^3 + 20m^3 = 50m^3
Then the density of liquid C is:
Density of liquid C = (9800kg)/(50m^3) = 196 kg/m^3
Please help!! Brainliest for right answer!!
Answer:
(f o g)(x) = 4x^2 - 8
Step-by-step explanation:
(f o g)(x) = f(g(x))
f(x) = x^2 - 8
g(x) = 2x
f(g(x))
f(2x) = (2x)^2 - 8
= 4x^2 - 8
(f o g)(x) = 4x^2 - 8
write a word problem that can be modeled by the equation x + 5 = 12
Answer:
x=7
Step-by-step explanation:
x+5=12
-5 -5
x=7
Find the perimeter of the shape on the grid pls help
Answer:
16.4
Step-by-step explanation:
I'm going to be honest, I don't really know how to explain this one. But the website GeoGebra can help with finding perimeter of shapes. You have to play around with it a bit to figure it out though.
Which of the values below will make 3+x=21 true
Answer:
x=18
21-3=18
Step-by-step explanation:
Each rectangle below has an area of 4 cm? Each square has an area of 2 cm?
If a rectangular box were made from the pattern, what would be the surface area?
Answer:
Literally any even number that’s not two or four
Step-by-step explanation:
I need a layout
Can anyone help me please
Answer:
y = 120
Step-by-step explanation:
y = 4x (corresponding angles)
y + 2x = 180
substitute the value of y into the second equation
4x + 2x = 180
6x = 180
x = 30
now that we have the value of x, plug it into either equation and solve for y
y = 4 (30)
y = 120
HELP! have this assignment due in 30 mins and i dont know how to do this please help i have a D in this class
1 A rectangular playground has a width of 540 feet and a length of 810 feet. Martina makes a scale model of the playground using a scale of 4 cm :
30 ft .What are the dimensions of Martina’s scale model?
A135 cm by 202.5 cm
B72 cm by 108 cm
C54 cm by 81 cm
D18 cm by 27 cm
Answer:
A
Step-by-step explanation:
there are 135 '4cm' segments in 540 feet; 540 ÷ 4
there are 202.5 '4cm' segments in 810 feet; 810 ÷ 4
The sum of the speeds of two trains is 718.4 miles per hour. If the speed of the first train is 3.6 mph faster than that of the second train, find the speeds of each
Answer:
the answer is 359.7
Step-by-step explanation:
Help
Help
Help
Help
Help
Answer:
1.92
Step-by-step explanation:
multipy 8 by .08 to get the sales tax amount
to find the total cost (if you need it) add the sales tax to the original cost
hope it helps
Answer:
1.92
Step-by-step explanation: niueikieoewdn4u
1) (2 points) Imagine a 21-gonal prism. How many total faces does this prism have? Provide a clear
and detailed justification for your answer, using appropriate vocabulary, that does not rely on a
formula.
Answer: There are 23 faces total.
Explanation:
This is because there are 21 lateral faces, each of which are a rectangle. Then there are the 2 base faces which are each 21-gons. A 21-gon is a 21 sided polygon. So we have 21+2 = 23 faces total.
Shannon rode her bike 6 miles in 24 minutes. Find her average rate in miles per hour.
HELP!
Answer:
.25 Mph
Step-by-step explanation:
6 divided by 24
=
0.25
Can someone help me with this please?
Answer:3:7
Step-by-step explanation:
are
Which pair of angles
angles?
corresponding
Answer:
D. <3 and <7
Step-by-step explanation:
Corresponding angles are angles that are on matching sides and that are cut by a transversal.
Hope this helps!
1/3 of 5/8 as a fraction
Answer: how are you doing this tho
Step-by-step explanation:
The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
1/3 of 5/8 as a fraction
Let x be the fraction:
x = 1/3 of 5/8
Or
x = (1/3)(5/8)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
After multiplication:
x = 5/24
Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
Learn more about the fraction here:
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Go Green, a landscaping company, has seven employees including the manager, Zenya. The yearly salary for each employee is shown in the table
Employee
Jimmy
Aysel
Dakota
Sven
Anika
Miku
Zenya
Salary
$18,000
$22,000
$21,000
$24,000
$25,000
$20,000
$46,000
If Go Green is placing an ad on the Internet to hire an additional employee, which measure would be most accurate to determine the salary of the 8th employee?
O mean
O median
O mode
interquartile range
Answer:
Mean
Step-by-step explanation: