Answer:
Yes it does it forms a right triangle.
Step-by-step explanation:
Max points! I need these answered quick
Answer:
4) 1/5
5) 5/28
6) 7/36
Step-by-step explanation:
4) 3/15=1/5
5) 5/28
6) 14/72=7/36
Answer:
3/5 × 1/3 = 1/5
5/7 × 1/4 = 5/28
7/8 × 2/9 = 7/36
Step-by-step explanation:
square root of 32-square root of 72
Answer:
-2 square root 2
Step-by-step explanation:
square root 72= 8.48528
square root 32= 5.65685
8.48528-5.65685=2.82842
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
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
Find the length of the third side. If necessary, round to the nearest tenth. 12 24. NEED THIS ASAP PLEASE
Answer:
16
Step-by-step explanation:
By applying the Pythagoras theorem we get,
20*20 - 12*12 = c*c
256=c*c
c= [tex]\sqrt{256}[/tex]
c=16
Answer:
16
Step-by-step explanation:
We have to use the pythagorean theorem here
a^2+b^2=c^2
12^2+b^2=20^2
144+b^2=400
b^2=256
[tex]\sqrt{b^2}=\sqrt{256}[/tex]
[tex]b=16[/tex]
What is 180/80=80/80*a^6
Answer:
[tex]a = \sqrt[3]{\frac{3}{2}}[/tex]
Step-by-step explanation:
Given
[tex]\frac{180}{80}=\frac{80}{80}*a^6[/tex]
Required
Solve for a
[tex]\frac{180}{80}=\frac{80}{80}*a^6[/tex]
[tex]\frac{180}{80}=1*a^6[/tex]
[tex]\frac{180}{80}=a^6[/tex]
[tex]a^6 = \frac{180}{80}[/tex]
[tex]a^6 = \frac{18}{8}[/tex]
[tex]a^6 = \frac{9}{4}[/tex]
Take the square root of both sides
[tex]\sqrt{a^6} = \sqrt{\frac{9}{4}[/tex]
[tex]a^3 = \frac{3}{2}[/tex]
Take cube rooth of both sides
[tex]a = \sqrt[3]{\frac{3}{2}}[/tex]
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:
https://brainly.com/question/23844627
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!
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
PLEASE HELP IM STUCK ON THIS
Translate. (Do not simplify or solve.)
Eight more than k exceeds 24.
Solve. (Simplify your answer completely.)
Write the solution in interval notation.
Can someone help me with this please?
Answer:3:7
Step-by-step explanation:
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!
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:
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
please help on my geometry homework
Answer:
(9,2) is the answer sorry for late reply
c
13
4.
B
What is the the value of sin (0)
*Enter exact value only with rationalized denominator.
Answer:
b mi disputa amigo se eu erra
what number is less than 15.22 Enter your answer as a decimal in the box
Answer:
15.10 or -15.22
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
half of an integer exceeds one _ third of the next integer by unity .Find the integer. please ask fast
9514 1404 393
Answer:
8
Step-by-step explanation:
If the integer is n, half of it is n/2. The next integer is (n+1) and 1/3 of it is (n+1)/3. You want ...
n/2 - (n+1)/3 = 1
n(1/2 -1/3) -1/3 = 1
n/6 = 4/3 . . . . . . . . add 1/3, simplify
n = 6(4/3) = 8
The integer is 8.
Can someone help me plsssss
Answer:
x = [tex]\sqrt{116}[/tex]
Step-by-step explanation:
Remember the pythagorean theorem is A^2 + B^2 = C^2\
C is the hypotenuse which you are looking for.
SO
100 + 16 = [tex]\sqrt{116}[/tex]
ANSWER [tex]\sqrt{116}[/tex] or about 10.7703296143
A cell phone plan costs $200 to start. Then there is a $50 charge each month. Sketch a graph of the cost of the cell phone plan over time.
Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
Answer:
yes
Step-by-step explanation:
yes
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?
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]
need a answer ASAP!
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
Round 2,483,219 to the nearest thousand
Please help me solve this
Answer:
1/6
Step-by-step explanation:
First you make the denominator on the fractions the same
3 * 2 = 6
Multiply the number the same for the numerator
3 * 1 = 3
so the fraction is 3/6 since 3/6 = 1/2
4/6 - 3/6 = 1/6
she has 1/6 pipe left
Each side of the regular hexagon below has the same measure.
A hexagon with side lengths of 2.5 feet.
If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options..
Answer:
Step-by-step explanation:
Now, the hexagon as equal sides, the original has 2.5ft sides, if we multiply this by the scale factor 6, we would have . This means that the model hexagon is gonna sides of 15 feet
Use the definition of a derivative to find f'(x):
f(x) = 3x + 2y + 5x^2
Answer:
15
5×2=10
10
3+2=5
10+5=15
what are the numbers for each fruit
Answer:
wha- Can you be a little more vague?
Step-by-step explanation:
Answer:
i am lost sorry i can't help