Answer:
I'll setup the problem and you can do the calculations
Step-by-step explanation:
a.
[tex]V = \pi( {D}^{2} \div 4)H[/tex]
V = volume; D = diameter; H = height of can
b.
Area of the Tin is the total area of the 2 Tin circles
one circle's area A is
[tex]A = \pi {D}^{2} \div 4[/tex]
A = area; D = diameter
calculate A
Then multiply by 2
c.
The area of the cardboard is the circumstance of the circle
times the height
[tex]SA = \pi DH[/tex]
d.
add answers from b and c
The endpoints of are A(2, 3) and B(8, 1). The perpendicular bisector of is , and point C lies on . The length of is units. The coordinates of point C are . The slope of is . The possible coordinates of point D are and .
Answer:
The Coordinates of Point C are C(5,2)
The slope of CD is 3
The possible coordinates of point D(a,b) are (6, 5) and (4, -1)
Step-by-step explanation:
According to the Question,
Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.Now, Let The Coordinates of Point C are C( x , y ) .
Thus, C( x , y ) = ((8 +2) / 2 , ( 1 + 3 )/ 2 ) ⇒ (10/2 , 4/2) ⇒ (5 , 2)The Coordinates of Point C are C( x , y ) ⇒C(5, 2).
And, The slope of AB = (1 - 3)/(8 - 2) ⇒ -2/6 ⇔ -1/3 .
Thus, The slope of CD is -1/(The slope of AB) = -1/(-1/3) ⇔ 3.Let the coordinate of D be (a, b) then
⇒ √{ (b - 2)² +(a - 5)² } = √10
on squaring both sides we get,
⇒ a² - 10a + 25 + b² - 4b + 4 = 10
⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)
We Know, the slope of CD = 3
⇒Thus, (b - 2)/(a - 5) = 3
⇒ b - 2 = 3a - 15
⇒ b = 3a - 13 ⇔⇔ (Equation 2)
Putting value of Equation 2 into Equation 1, We get
⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19
⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19
⇒10a² - 100a + 240 = 0
⇒a² - 10a + 24 = 0
⇒(a - 4)(a - 6) = 0
⇒a = 4 or a = 6
Now,
When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1
When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5
Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).
Answer:
The answer above is 100% correct
Step-by-step explanation:
I got 100 on my quiz.
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
Given:
The equations are:
[tex]a=b+9[/tex]
[tex]b=c-2[/tex]
To find:
The equation that show the relationship between a and c.
Solution:
We have,
[tex]a=b+9[/tex] ...(i)
[tex]b=c-2[/tex] ...(ii)
Equation (i) can be rewritten as:
[tex]a-9=b[/tex] ...(iii)
From (ii) and (iii), we get
[tex]a-9=c-2[/tex]
[tex]a-c=9-2[/tex]
[tex]a-c=7[/tex]
Therefore, the required equation is [tex]a-c=7[/tex].
Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.
Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.
Answer:
6 boxes wide
6 boxes wide
or 2high 2high 2high 2high 2high 2high
Step-by-step explanation:
6 wide and 6 wide to make 12. 6x2=12
2 high ×6 2×6=12
Wayne is mixing paint. He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint.
1.What percentage of the brown paint is made from red paint? ( Hint: use the ratio table and convert the fraction to percentage) Explain how you figure out
2.Wayne decides to make 12 quarts of brown paint by using the same formula as above. Will the percentage of brown paint that is made from blue paint change or stay the same? Explain your answer. (Hint: proportional table. Will the ratio/percentage of the paint change with the increase in the amount of paint used?)
Answer:
Step-by-step explanation:
2/6=33.33
Solve the equation f(x)=x^3-x^2-x+1 given that one of its roots is x=1
Answer:
0
Step-by-step explanation:
F(1) = 1^3-1^2-1+1
F(1)=-1+1
F(1)=0
f(x)=x^3-x^2-x+1
f(1) = 1^3-1^2-1+1
f(1)=-1+1
f(1)=2
What is a function?
A function of an expression, rule, or law that defines the relationship between one variable (independent variable) and another (dependent variable) in mathematics. Functions are ubiquitous in mathematics and are essential for the formulation of physical relationships in the natural sciences.
Functions can be defined as a set of ordered pairs. Example: {(2,4), (3,5), (7, 3)} is a function that says. "2 is associated with 4," "3 is associated with 5," and "7 is associated with 3." Also note that the domain is {2,3,7} (input value). A
function is defined as a relationship between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, where each input is associated with one output. Each function has a domain and a codomain or scope.
Learn more about function here:https://brainly.com/question/22340031
#SPJ2
Which equation would show the original function y = f(x) shrunk by a factor of 1/5, reflected
across the x-axis, translated 3 units left and 4 units down?
A. y = -1/5 f(x – 3) - 4
B. y = 1/5 f(x – 3) - 4
C. y = 5 f(x - 3) + 4
D. y = -1/5 f(x + 3) – 4
Answer:
B, I don't remember the reasoning but I know that's the answer
What is the volume of the plastic rocket???
Answer:
A) 151 in³ or 151 cubic inches
Step-by-step explanation:
Volume of rocket = Volume of Cylinder + Volume of Cone
Step 1
Find the volume of the cylinder
Volume of a cylinder = πr²h
r = Diameter/2
= 5/2 = 2.5 inches
h = 6 inches
Hence,
π × 2.5² × 6
= 117.81 cubic inches
Step 2
Find the volume of the cone
Volume of a cone =1/3 πr²h
h = 11 inches - 6 inches
= 5 inches
r = 2.5 inches
Hence,
1/3 × π × 2.5² × 5
= 32.72 cubic inches
Therefore:
Volume of rocket = Volume of Cylinder + Volume of Cone
= 117.81 cubic inches + 32.72 cubic inches
= 150.53 cubic inches
Approximately to the nearest inch = 151 in³ or 151 cubic inches
Option A is correct
The blueprint of a deck has a scale of 2 centimeters equals 9 feet. The scale drawing is shown below
I have part A I need help with b
Part B
Decking costs $1.75 per square foot. How much will it cost to build the deck?
Complete question is;
The blueprint of a deck has a scale of 2 centimeters equals 9 feet.
A) What are the actual lengths of the sides of the deck?
B) Decking costs $1.75 per square foot. How much will it cost to build the deck?
Answer:
A) actual lengths are;
27 ft, 36 ft and 45 ft
B) cost of entire deck = $850.5
Step-by-step explanation:
A) From the attached image, we see that the sides of the triangle deck are;
8cm, 10cm and 6 cm
Now, we know that 2cm represents 9 ft.
Thus;
8cm will be; 8 × 9/2 = 36 ft
10 cm will be; 10 × 9/2 = 45 ft
6 cm will be; 6 × 9/2 = 27 ft
Thus, actual lengths are;
27 ft, 36 ft and 45 ft
B) Area of deck is Area of triangle = ½ × base × height.
In this diagram, base = 6 cm = 27ft
Height = 8 cm = 36 ft
Thus;
Area of deck = ½ × 27 × 36
Area of deck = 486 ft²
We are told that the Decking costs $1.75 per ft²
Thus;
Cost of entire deck = 1.75 × 486 = $850.5
La Sra. Conley le pregunta a su clase qué tipo de fiesta quieren tener para celebrar su comportamiento ejemplar. De todos los estudiantes en la clase, 5 quieren una fiesta de helado, 7 quieren una fiesta de películas, 10 quieren una fiesta de disfraces y los demás están indecisos. Si el20%, quiere una fiesta de helado, ¿cuántos estudiantes hay en la clase?
Answer:
En la clase hay 25 alumnos.
Step-by-step explanation:
La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.
De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?
[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]
totalidad de los alumnos= 25
En la clase hay 25 alumnos.
five decimals between 0.42 and 0.44
Answer: 0.421, 0.422, 0.423, 0.43, 0.434
Step-by-step explanation:
What is the slope of the line represented by the equation y = - 글 x + 끝?
O O
No all ele we
0
Given:
Consider the given equation is:
[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex]
To find:
The slope of the line that is represented by the given equation.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is y-intercept.
We have,
[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-\dfrac{7}{2}[/tex]
Therefore, the slope of the given equation is [tex]-\dfrac{7}{2}[/tex].
What is the range of the following data?
10 20 30 40 50 60 70 80 90 100
50
20
70
60
1) Paul is buying stock to add
to his portfolio. The cost of the
stock is $60 per share. The
broker that he's buying from
also charges a processing fee
of $100.
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(2). 1 yd ≈ 0.9144 m
1 yd³ ≈ 0.76455 m³
2 yd³ ≈ 1.53 m³ ≈ 2 m³
(3). 1 ft ≈ 0.3048 m
1 ft² ≈ 0.0929 m²
162 ft² ≈ 15.1 m²
(4). 1 mi ≈ 1.60934 km
1 mi² ≈ 2.59 km²
503 mi² ≈ 1302.8 km²
Write a recursive rule for the sequence.
5. – 20, 80, 320, 1280,
Step-by-step explanation:
the answer is in the image above
Find the values of x and y
X=
Y=
Answer:
x = 7
y = 4
Step-by-step explanation:
y + 12 = 3x - 5
5y - 4 = 3x - 5
So y + 12 = 5y - x
To solve the equation above, y =4
Sub y = 4,
x = 7
how long is it. from 13:49 to 14:22
Answer:
33 minutes
Step-by-step explanation:
Answer:
33 minutes
Step-by-step explanation:
To go from 13:49 to 14:00, that is 11 minutes
To go from 14:00 to 14:22 is 22 minutes
22 + 11 = 33
Hope this helps!
Find the total surface area of the rectangular prism in square millimeters. 2cm 6 cm 9cm
==============================================
Work Shown:
L = 2 = lengthW = 6 = widthH = 9 = heightThe order of length, width and height doesn't matter
SA = surface area of rectangular prism
SA = 2*(LW + LH + WH)
SA = 2*(2*6 + 2*9 + 6*9)
SA = 2*(12 + 18 + 54)
SA = 2*(30+54)
SA = 2*(84)
SA = 168 square cm
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
5n – 300 = 1,500
5n + 300 = 1,500
5n – 200 + 100n = 1,500
5n – 100 – 200n = 1,500
Answer:
The first one, A
Step-by-step explanation:
DJ costs $300 in total.
For every student there is $5.
We want a profit of 1,500, so the total money earned from students attending subtracted by the costs of the DJ should be 1,500.
5n - 300 = 1,500
For the second one, it'll be the DJ giving you $300.
The last Two answers has an n where it's supposed to be money when n represents each student.
Answer:
it would be A
Step-by-step explanation: MUHAMMADO AVDOLLLLLL
Evaluate y⁵ for y = 1.
● 1
● 5
● 15
Answer:
1
Step-by-step explanation:
if y = 1 then [tex]y^{5} = 1 . 1 . 1. 1.1 = 1[/tex]
Answer: 1
Step-by-step explanation:
its just 1 because you just multiplied 1 by1 5 times
Find the exact value, without a
calculator
711/6
sin
2
7π
tan
12
711/6
COS
2
? ] + [
- √
Answer:
The answer to calculate this will be:
5
π
6
The required value of tan(7π/12) = √[(2+√3)/(2-√3)].
To find the exact value of tan(7π/12).
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]
tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
= √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]
= √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
= √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]
Here, cos( π/6 ) = √3/2
= √ [ (1 + √3/2 ) / (1 - √3/2 ]
= √ [ (2 + √3)/2 / (2- √3)/2 ]
= √ [ (2 + √3) / (2- √3) ]
Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].
Learn more about trigonometry equations here:
https://brainly.com/question/22624805
#SPJ2
Can someone find this angle?
Answer:
Step-by-step explanation:
Sum of angles of a triangle = 180
d+ 2d + 60 = 180
3d = 180 - 60
3d = 120
d = 40
The angles are 40, 80, 60
5 in
5 in
4 in
6 in
Surface Area =
Answer:
The Surface area is 148
Step-by-step explanation:
For the front and back each side is 30 since 6x5=30. Therefore total 60
For the left and right it is 5x4=20. Each side 20 therefore total 40
For top and bottom it is 6x4=24. 24x2 =48 so total 48.
In total combined: 40+60+48=148
a meat pie contains chicken and turkey in the ratio 4:1. The pie contains 200g of Chicken. How much turkey is in the pie?
Answer:
50 grams
Step-by-step explanation:
From the above question:
Chicken : Turkey
= 4:1
Sum Proportions = 4 + 1 = 5
We have to find the weight in grams of the entire pie
Let us represent the weight in grams of the entire pie = x.
The pie contains 200g of Chicken.
Hence:
4/5 × x = 200g
4x/5 = 200g
Cross Multiply
4x = 200g × 5
x = 200g × 5/4
x = 250g
The amount turkey that is in the pie is calculated as:
Total weight of pie - Amount of Chicken in the pie
= 250g - 200g
= 50 g
cant figure this one out! will mark brainliest. also don’t have to show work if you don’t want to, i just need the answer
Answer:
a = -24
Step-by-step explanation:
a / -3 - 2 = 6
a/-3 = 8
a = -3 * 8
a = -24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: a= -24
a/-3- 2=6
+2 +2
a/-3=8
*3 *3
a= -24
What is the volume of this cylinder?
??
Answer:
197.92
Step-by-step explanation:
pretty simple not hard bub
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
Solve the right triangle round your answer to the nearest tenth
Answer:
14
Step-by-step explanation:
You add 50 and 26 together to get 76, then you subtract 90 and 76 to get 14
Please help, I will really appreciate all your help please :(
Answer:
should be y=-2/1x+2
Step-by-step explanation:
because the slope is going down 2 over 1 and the y-intercept is at positive 2
5x raised to 3+4 x raised to 2 - 6
Answer:
[tex]125x^3 + 16x^2 -6[/tex]
Step-by-step explanation:
Given :
5x raised to 3 , that is =
[tex](5x)^3 = 5^3 \times x^3 = 125 x^3[/tex]
4x raised to 2 , that is =
[tex](4x)^2 = 4^2 \times x^2 = 16 x^2[/tex]
Final step : (5x raised to 3) + ( 4x raised to 2) - 6, that is =
[tex](5x)^3 +(4x)^2 - 6 \\\\=125x^3 + 16x^2 -6[/tex]
