Answer:
2c^3
Step-by-step explanation:
The greatest common divisor of 6 and 10 are 2
The factors that are common to 6c^3, 10c^4 would be 2ccc
Simplify that and you have 2c^3
Find cos 0
16
20
12
A.
12
16
B.
12
20
C.
16
20
10
D.
Answer:
b cuz its cosine but i flipped the numbers so it can be 20 over 12 and gave me exactly 0
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(θ) in the given triangle is 0.6.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm \sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\\tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
In a right angle, the cosine function of trigonometry is the ratio of the base of the triangle and the hypotenuse of the triangle.
For angle θ, the dimension of the triangle will be,
Perpendicular = 16
Base = 12
Hypotenuse = 20
Now, the measure of cos(θ) will be,
Cos(θ) = Base / Hypotenuse
= 12 / 20
= 6 / 10
= 0.6
Hence, the value of cos(θ) in the given triangle is 0.6.
Learn more about Trigonometric functions here:
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Help Please!! Struggling with this for a while
Answer:
Area of triangle ABC = 6 square units
Step-by-step explanation:
By applying Pythagoras theorem in right triangle ADC,
AC² = AD² + CD²
3² = (1.8)² + CD²
9 - 3.24 = CD²
CD = √5.76
CD = 2.4 units
By applying mean ratio theorem,
[tex]\frac{AD}{CD}=\frac{CD}{DB}[/tex]
CD² = AD × DB
(2.4)² = 1.8 × DB
DB = [tex]\frac{5.76}{1.8}[/tex]
DB = 3.2 units
AB = AD + DB
AB = 1.8 + 3.2
AB = 5 units
Since, area of a triangle ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(\text{AB})(\text{CD})[/tex]
= [tex]\frac{1}{2}(5)(2.4)[/tex]
= 6 square units
Which histogram correctly displays the information above
Answer: The answer is c
Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What is his hourly and weekly pay rate
Answer:
$15 / hr
$450 / week
Step-by-step explanation:
30 h x 52 w = 1560 hrs
$23400 / 1560 = $15 / hr
$15 * 30 hrs = $450 / week
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 6m and a diameter of 6m. The container will be made from steel (including its top and bottom). If the steel costs $27 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent
Answer:
The cost of required steel is [tex]169.56 *27 = 4578.12[/tex] dollars
Step-by-step explanation:
The surface area of cylinder will be equivalent to the area of the steel sheet.
Surface area of cylinder [tex]= 2\pi rh+2\pi r^2[/tex]
Substituting the given values we get
Surface area of cylinder
[tex]= 2*3.14*3*6 + 2*3.14 *3^2\\= 169.56[/tex]square meter
Cost of 1 square meter of steel is $27
Then, the cost of required steel is
[tex]169.56 *27 = 4578.12[/tex] dollars
The coordinates of the following points represent the vertices of a rectangle. E: (4,2) F: (10,2) G: (10,8) H: (4,8) What is the perimeter, in units, of rectangle EFGH?
Answer:
Perimeter of rectangle EFGH = 24 unit
Step-by-step explanation:
Given:
E: (4,2)
F: (10,2)
G: (10,8)
H: (4,8)
Find:
Perimeter of rectangle EFGH
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between EF = √(4 - 10)² + (2 - 2)²
Distance between EF = √36
Distance between EF = 6units
Distance between FG = √(10 - 10)² + (2 - 8)²
Distance between FG = √36
Distance between FG = 6 units
Distance between GH = √(10 - 4)² + (8 - 8)²
Distance between GH = √36
Distance between GH = 6 units
Distance between HE = √(4 - 4)² + (8 - 2)²
Distance between HE = √36
Distance between HE = 6 units
Perimeter of rectangle EFGH = 6 + 6 + 6 + 6
Perimeter of rectangle EFGH = 24 unit
Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.
q = 55 StartRoot 5 EndRoot
q = -5Negative 5 StartRoot 5 Endroot
q = 33 StartRoot 5 Endroot
q = -3Negative 3 StartRoot 5 EndRoot
q = 2525 StartRoot 5 EndRoot
100 points i just need helpp
Answer:
5sqrt(5) = q
-5sqrt(5) = q
Step-by-step explanation:
f(q) = q^2 -125
To find the roots set the equation equal to zero
0 = q^2 -125
Add 125 to each side
125 = q^2 -125+125
125 = q^2
Take the square root of each side
±sqrt(125) = sqrt(q^2)
±sqrt( 5*25) = q
±sqrt( 25)* sqrt(5) = q
±5* sqrt(5) = q
±5sqrt(5) = q
Answer:
Guy above deserves brainliest
Step-by-step explanation:
Find the length of the missing side of the right triangle shown.
Answer:
17
Step-by-step explanation:
15^2 + 8^2 = 225 + 64 = 289
[tex] \sqrt{289} [/tex]=17
PLEASE HELP ME PLEASE MAX POINTS
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answer my other question, please! ^^
Answer:
I did the first one
Step-by-step explanation:
Hope I did it right
ahhhh I see now yes I do
Answer: yes
Step-by-step explanation: so smart I think
The coordinates of D are
Answer:
The coordinates of D are -1,0
Step-by-step explanation:
I believe
Mrs.Kenny teaches a ceramics class.She finds that she has 7/8 pounds of clay for a project. The project requires 1/6 of a pound.How many projects can Mrs.Kenny complete withought running out of clay
PLS FAST
Which expression is equivalent to 1/5(150x - 80y + 50 - 50x - 25y + 20)?
Answer:
20x - 21y + 14
1/5(150x - 80y + 50 -50x - 25y + 20)
30x -16y + 10 - 10x - 5y + 4
30x -10x -16y - 5y + 10 + 4
20x -21y + 14
Answer:
20x-21y+14
Step-by-step explanation:
add up like terms and divide them by 5
answer all of them please
easy math questions for 20 points
Kelko wrapped 20 gifts. Keiko wrapped 4 times as many gifts as Henry. Let be the number of gifts that Henry wrapped.
(a) Write an equation that relates the number of gifts that they wrapped.
Use 4, 20, and n.
(b) Find n.
2
Answer:
20 = 4n
n = 5
Step-by-step explanation:
Given that :
Number of gifts Keiko wrapped = 20
Let number of gifts wrapped by Henry = n
Keiko wrapped 4 times as many gifts as Henry
Hence,
20 = 4n
The equation that relates the number of gifts wrapped is :
20 = 4n
To obtain n ;
Divide both sides by 4 to isolate n
20/ 4 = 4n / 4
5 = n
Hence,
n = 5
Plz need helppp Quick !!!!!!!
Step-by-step explanation:
A. 1 cup of blue rate for 3/5 cup of red paint
B. 1 cup of flour for 2.5 muffins
C. r = d/t = 420 miles/7 hours = 60 miles per hour.
D. 48/3 = $16 for every hour
E. $15/6 = $2.5 for every hot dog
Please help me 7th grade math
Answer: 1/8
Step-by-step explanation: hoped this helped :))
A 3 foot wide painting should be centered on 13 foot wide wall how many feet should be on each side of the painting
Answer:
5 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:
(13 - 3) / 2 = X
10/2 = X
5 = X
Therefore, 5 feet of wall should be on each side of the painting.
Write an equation that you can use to find the value of x.
The perimeter of the triangle: 16 in.
Answer:
This question seems incomplete
A random sample of failure time of 49 kidney transplants (in months) is given: 5.27 43.72 3.96 20.34 44.06 31.18 21.98 34.99 39.36 3.39 23.42 43.41 34.35 46.71 64.87 4.53 7.02 40.50 7.38 37.74 13.49 68.48 48.74 12.85 24.15 27.33 4.82 20.00 55.28 20.83 24.13 11.80 13.82 31.55 36.69 52.57 12.45 40.07 16.86 15.54 15.54 3.85 4.08 5.62 17.44 3.38 41.61 29.52 21.61 If we assume failure time has a Gamma distribution answer the following questions (with 2 decimal points). . Find the critical value for the test (for significance level of 0.1).
Answer:
Critical value ≈ 1.299
Step-by-step explanation:
number of Kidney transplant ( n ) = 49
Determine the critical value for the test
the sample mean = ∑ failure time / n = 1252.28 / 49 = 25.56
next we determine the standard deviation of the sample
s = [tex]\sqrt{1/(n-1)(xi -X ) ^2}[/tex] = 17.3126
standard error = s / √n = 17.3126 / 7 = 2.4732
Given a significance level of 0.1
df (degree of freedom ) = n -1 = 49 - 1 = 48
∝ = 0.1
critical value = 1.299 ( using excel function ; =T.INV(0.90,48) )
Line A contains the points (– 6, – 3) and (– 2, – 1). Line B contains the points (8, 2) and (12, 4).
How many solutions does the system of equations have?
Answer:
One Answer
Step-by-step explanation:
Take two points like (8,2) and (12,4) and do y2-y1/x2-x1.
4-2/12-8 = 4/2 = 2.
Then that another point and plug it in to the equation, y = 2x + b.
i will use (8,2). 2 = 2(8)+b. solve this and you get b= -14.
now you found your answer. y=2x + -14.
Plz write/type the answers, I pray u can help
Brianna measures the temperature of two chemical samples. If the first sample measures -8 degrees Celsius and the second sample measures 24 degrees Celsius, what is the average temperature of the two samples? *
Answer: + 8 degrees
Step-by-step explanation: average (-8+24)/2= 16/2 degrees
E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)
Answer:
7a+6b+1
...............
Answer:
7a+6b+1
Step-by-step explanation:
2a+3b+2+3a+5b-1+2a-2b=7a+6b+1
Combine like termsUse this fact:(+)×(+)=+ (-)×(-)=+
(+)×(-)=- (-)×(+)=-
If one side of a cube measures x cm what is the volume
Answer:
The volume is x times x times x which is x^3 :)
How would you write the equation with a slope of 2/3 and a y-intercept of -3 in slope- intercept form
y=2/3x-2
Explanation:
The equation of a line can be written as y=mx+c
m=slope and c = y-intercept
The point at the x−intercept has coordinates (-3,0)
In y=mx+c
0=2/3(3)+c
0=2+c
-2=c
The equation is y=2/3x-2
Answer:
[tex] y = \frac{2}{3} x - 3[/tex]
Step-by-step explanation:
Slope (m) = 2/3
y-intercept (b) = - 3
Equation of line in slope intercept form is given as:
[tex] y = mx + b[/tex]
Plug the values of m and b in the above equation, we find:
[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]
A zoo has 15 toucans and 75 parrots What is the ratio of the number of toucans to the number or parrots in the zoo
Answer:
Since there is 15 toucans and 75 parrots the ratio would be written as
15/75
Step-by-step explanation:
As of 15 to 75. Then write out with a colon between the too! 15:75
Hope this helped and have a wonderful day!! <33
What is the area?
4.6 yd
7.7 yd
Answer:
A = 35.42 yd²
Step-by-step explanation:
We need to find the area if the dimensions are given as 4.6 yd and 7.7 yd.
The area of a rectangle shaped figure is given by :
A = lb
Where
l is length and b is the breadth
So, put all the values,
A = (4.6)(7.7)
= 35.42 yd²
So, the area of the figure is equal to 35.42 yd².
Come up with two additional solutions now that you have graphed the line. Justify your solution numerically. At least one of your points must include decimals or fractions.
(I ALREADY HAVE THE PLOTTED POINTS BUT I NEED TO SHOW THE WORK......PLS HELP)
Answer:
Two additional solutions are:
(21, 1/3)
(17, 5/3)
Step-by-step explanation:
We have the equation:
x + 3*y = 22
Now we want to find two solutions (x, y).
To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.
Let's isolate x.
x = 22 - 3*y
Now we can change the value of y by a known value, and then solve the equation for x.
For example, if we define:
y = 1/3
then:
x = 22 - 3*(1/3)
x = 22 - 1 = 21
x = 21
Then the point (21, 1/3) is a solution of the equation.
Now let's input another value of y, for example, we can use y = 5/3
(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.
x = 22 - 3*(5/3)
x = 22 - 5
x = 17
Then the point (17, 5/3) is a solution of the equation.
What is the width of a rectangle with a length of 3/8 ft and and area of
4 square feet?
