Answer: 62.8 cubic feet
Step-by-step explanation:
R is radius
H is height
R=2ft
H=5ft
V=(3.14)(2)^2(5)
V=62.8 cubic feet
work out 6z - 4z .what is the answer?
Answer:
4 is the answer
Step-by-step explanation:
you can - or + the equation only then when the letter is same z and z both are same so you can - them and get the answer.
both of the drop menus have the same options
Answer:
The slope of line p is 3 and the slope of line q is -3
pls help
Enter the equation for the graph.
Answer:
[tex]y=[1]cos([\frac{2\pi }{3}]x)[/tex]
Step-by-step explanation:
Looking at the graph, we can see the domain to be from (0 , 2π).
Now we have to find one period that corresponds to cos(x).
The half-period of cos(x) for this graph appears to be pi/3 and adding another pi/3 gets us 2pi/3 to be our cosine period.
b = 2pi/3
a is the same range as cos(x). Range: (0,0)
y = [a] * cos ([b]*x)
y = [1] * cos([2pi/3]x)
On average, 5 of every 200 customer calls at company A are complaint calls. What percentage of company A’s customer calls are complaint calls ?
Which statement regarding the diagram is true?
m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°
The statement m∠WXY + m∠YXZ = 180° is true.
ExplanationFrom the diagram, m∠WXY > m∠YXZ ⇒ m∠WXY ≠ m∠YXZ. So, option (a) is not true.
From the diagram, m∠WXY > 90° and m∠YZX < 90° ⇒ m∠WXY ≠ m∠YXZ. So, option (b) is not true.
The line WXZ is a straight line so ∠WXY and ∠YXZ are Linear pair. The sum of collinear angles is 180°. So, option (c) is correct.
From the diagram, m∠YXZ ≠ m∠XYZ but since m∠WXY + m∠YXZ = 180° ⇒ m∠WXY + m∠XYZ ≠ 180°. So, option (d) is not correct.
Option (c) is, thus, the correct option.
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Disclaimer: The question was incomplete. Please find the dull content below.
QuestionWhich statement regarding the attached diagram is true?
m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°
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Work out the length of x.
Give your answer rounded to 3 significant figures.
8.6 cm+
x
The diagram is not drawn accurately.
Answer:
12.2cm
Step-by-step explanation:
Follow the steps in the image I send you to learn it if you don't get it tell me.
What is the sum of the polynomials?
(7x³-4x²) + (2x³-4x²)
5x³
9x3
O5x³-8x²
O9x³8x²
[tex](7 {x}^{3} - 4 {x}^{2} ) + (2 {x}^{3} - 4 {x}^{2} ) \\ 7x ^{3} - 4 {x}^{2} + 2 {x}^{3} - 4 {x}^{2} \\ 7 {x}^{3} + 2 {x}^{3} - 4 {x}^{2} - 4 {x}^{2} \\ 9 {x}^{3} - 8 {x}^{2} [/tex]
PLEASE GIVE BRAINLIEST
Therefore , the solution of the given problem of equation comes out to be 9x³ - 8x².
What is the equation?A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra.
Here, we have,
Polynomial function total
Polynomial functions are those that have a leading degree of three or higher. given the total;
(7x^3-4x^2)+(2x^3-4x^2)
Expand => (7x 3-4 times) + (2x 3-4 times)
= > 7x^3-4x^2 + 2x^3-4x^2
assemble similar terms
=> 7x^3 + 2x^3 - 4x^2 -4x^2
=> 9x^3 - 8x^2
Therefore , the solution of the given problem of equation comes out to be 9x³ - 8x².
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Find the area of following quadrilateral
Answer:
[tex]222cm^{2}[/tex]
Step-by-step explanation:
First we will find the length of BD.
By Pythagoras' Theorem,
[tex]c^{2} =a^{2} +b^{2} \\BD^{2} = AD^{2} +AB^{2} \\BD^{2} =12^{2} +16^{2} \\BD^{2} = 144+256\\BD^{2} =400\\BD = \sqrt{400} \\=20cm[/tex]
Now we will find Angle ADB.
[tex]\frac{AB}{sin(Angle ADB)} =\frac{BD}{Sin(AngleBAD)} \\\frac{16}{sin(AngleADB)} =\frac{20}{sin(90)} \\20sin(AngleADB)=16sin(90)\\20sin(AngleADB)=16\\sin(AngleADB)=\frac{16}{20} \\sin(AngleADB)=0.8\\AngleADB=sin^-1(0.8)\\=53.130deg\\[/tex]
Now we will find Area of triangle BCD
[tex]Angle BDC = 90 - Angle ADB = 90 - 53.130 = 36.87deg\\\\\\Area of Triangle BCD \\= \frac{1}{2} (BD)(CD)sin(AngleBDC)\\=\frac{1}{2} (20)(21)sin(36.87)\\= 126cm^{2}[/tex]
Then we will find the area of triangle BAD
[tex]=\frac{1}{2} (16)(12)\\= 96cm^{2} \\[/tex]
Area of quadrilateral = Area of Triangle BCD + Area of Triangle BAD
= 126+96
= [tex]222cm^{2}[/tex]
Answer:
A = 222 cm²Step-by-step explanation:
it is a trapezoid
so
A = ½ (a + b) h
A = ½ (16 + 21) × 12
A = ½ 37 × 12
A = ½ 444
A = 222 cm²
A survey of 100 high school students provided this
frequency table on how students get to school:
Drive to Take the
Grade
Walk
School
bus
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
What is the probability that a randomly selected student
is a junior?
?
P (Junior)
=
Answer:
35/100
Step-by-step explanation:
You have to find how many juniors there are, so if you add 13, 20, and 2 you get 35. For the denominator you have to find the total number of students, so just add all of the numbers together to get 100. So there is a 35/100 chance that a randomly selected student is a junior.
Answer: 7/20
Step-by-step explanation:
OA x + 2y ≤ 5
and 3x + y ≥ 4
OB. + 2y ≤ 5
and
3x + y ≤ 4
OC. I + 2y 25
and
3x + y ≤ 4
OD. x + 2y 25 and
3x + y ≥ 4
-7-6-5-4-3-2-1
9465
12.3.4.5.6
Answer:
5
Step-by-step explanation:
5
A television is 28.5 inches wide and 16 inches long.
Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch?
a.)
45 inches
b.)
22 inches
c.)
33 inches
d.)
24 inches
Answer:
C) 33 inches
Step-by-step explanation:
A^2 + B^2 = C^2
812.25 + 256 = C^2
1068.25 = C^2
32.684 = C
Hope this helps! Pls mark me as brainliest :)
What is the least common
denominator?
3
-7
5
4xy'z ' 8xºy ' 12yz2
[ ? ]x[ y[ ]z Q
Z
Reece and Sarah share some money in the ratio 9 : 16.
Reece says that Sarah gets more than 60% of this money. Show that Reece is correct.
Answer:
64% > 60%
Step-by-step explanation:
Total Units = 9 + 16 = 25 units.
Sarah Receives 16 units out of 25.
Percentage = 16/25 * 100
= 64%
Therefore Sarah received more than 60% of this money and therefore Reece is correct.
Which pair of functions are inverses of each other?
The pair of functions are inverse of each other is, [tex]\rm f(x)=5x-9 \ and \ g(x) = \rm \frac{x-9}{5}[/tex].Option C is correct.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
On checking the function one by one we get that option c satisfies the conditions;
[tex]\rm f(x)=5x-9[/tex]
Change the coefficient;
y=f(x) as x=f(y)
The function is written as;
y=5x-9
x=5y-9
Simply the function;
[tex]\rm y = \frac{x+9}{5} \\\\ y=g(x) \\\\\ g(x) = \frac{x+9}{5}[/tex]
The pair of functions are inverses of each other is,[tex]\rm f(x)=5x-9 \ and \ g(x) = \rm \frac{x-9}{5}[/tex]
Hence option C is correct.
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The __________ and the _________ are two of the most popular and useful methods of standardizing for size and comparing distributions.
The proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.
Methods of standardizationProportion is the fraction of favorable cases from the total number of cases. It is defined for both population and sample.
Median is defined as the numeric value separating the higher half of a sample, a population, or a probability distribution, from the lower half of it.
Therefore, the proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.
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What is the area of parallelogram ABCD?
Jacob and his sister, jenny, share the job of cutting the grass in their yard. jacob cuts 2 of the yard, and jenny cuts the rest can cut 3/4 of an an entire tard of an hour
Answer:
okay
Step-by-step
no of yards they cut in an hour
Jacob = 2 yard
jenny 3/4 of a yard
no of yards it will take jenny to cut 3 yards = 4 hours
Use the distance formula to find the perimeter of the triangle below. Round you answer to the nearest hundredth.
jAlright, let's take this problem step-by-step:
What is the perimeter:
⇒ all the side-lengths added up
⇒ need to find side-length using distance formula
[tex]Distance_._. Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
- (x₁,y₁): first point
- (x₂,y₂): second point
Let's solve:
Find length of AC⇒ first point: (5,7)
⇒ second point: (3,3)
[tex]Distance =\sqrt{(3-5)^2+(3-7)^2} =\sqrt{4+16} =\sqrt{20} =4.472[/tex]
Find length of AB⇒ first point: (5,7)
⇒ second point:(8,6)
[tex]Distance=\sqrt{(8-5)^2+(6-7)^2} =\sqrt{9+1} =\sqrt{10}=3.162[/tex]
Find length of BC⇒ first point: (8,6)
⇒ second point: (3,3)
[tex]Distance = \sqrt{(3-8)^2+(3-6)^2} =\sqrt{25+9} =\sqrt{34}=5.831[/tex]
Now let's solve for the perimeter:
[tex]Perimeter = 4.472+ 3.126+ 5.831=13.429[/tex]
Answer: 13.43 (rounded to the nearest hundredth)
Hope that helps!
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Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $4 for every cake she bakes. She made $60 this week. Write an equation to show how many cakes Sam baked this week
An equation is formed of two equal expressions. The number of cakes that are made by Sam this week is $10.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Sam gets paid $20 a week in addition to $4 for every cake she bakes. Let y be the total amount that is made by Sam this week, while x represents the number of cakes she bakes. Therefore, the equation for the total amount made by sam in a week can be written as,
y = 20 + 4x
Since her total income for this week is $60, therefore, we can write,
60 = 20 + 4x
40 = 4x
x = 10
Hence, the number of cakes that are made by Sam this week is $10.
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t(3^3\ 3^4)^5
help!!
The final expression will be given as [tex][\dfrac{1}{243}][/tex] , where the numerator is 1 and the denominator is 243.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given expression:-
E = [tex][\dfrac{3^3}{3^4}]^5[/tex]
The ratio will be solved by elimination three times 3 with the denominator having four times three.
E = [tex][\dfrac{1}{3}]^5[/tex]
We will calculate the three to the power five now which is 243.
E = [tex]\dfrac{1}{243}[/tex]
Therefore the final expression will be given as [tex][\dfrac{1}{243}][/tex] , where the numerator is 1 and the denominator is 243.
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The temperature fell at a rate of 0.65 °C/h. The temperature was recorded at 37 °C
at 6 p.m. Which function can be used to represent this situation?
Of(x) = 37 -0.65x
Of(x) = 0.65x - 37
Of(x) = 37x + 0.65
Of(x) = 0.65x+37
The linear function that can be used to represent the temperature in x hours after 6 pm is given by:
f(x) = 37 - 0.65x.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem:
The y-intercept is the initial temperature of 37ºC.The slope is the rate of change of -0.65ºC/h.Hence the function is:
f(x) = 37 - 0.65x.
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URGENTTT...A survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose. This table shows the results:
The option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a table given that shows the survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose.
The probability of a person that is a student:
P(student) = (75+15)/110 = 0.83
The probability:
P(student|pirate) = 75/80 = 0.93
The probability of both events is different.
Thus, the option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.
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Write a quadratic function f whose zeros are 2 and 7.
Answer:
f(x) = (x - 2)(x - 7)
Step-by-step explanation:
an easy way to write a quadratic function who has zeroes of certain numbers is to use this format- f(x) = a(x - p)(x - q)
in this format
the p and the q are both zeroes
it does not matter what the a value is
an example for when the zeroes are 2 and 7 could be
f(x) = (x - 2)(x - 7)
which of the following have eight faces
solve 15/4 -7 X=9 answer the question
[tex] \frac{15}{4} - 7x = 9 \\ \\ \frac{15}{4} - 9 = 7x \\ \\ 7x = \frac{15 - 36}{4} \\ \\ 7x = \frac{ - 21}{4} \\ \\ x = \frac{ - 21}{4 \times 7} \\ \\ x = \frac{ - 3}{4} .[/tex]
What are the solutions of 3x² + 14x + 16 = 0?
0 x=-₁-2
0 x = -2₁-²2/
0x = ²,2
0x=-₁2
X
Answer:
x = -2, -2
Step-by-step explanation:
3x² + 14x + 16 = 0
(3x+8) (x+2)
x = -8/3
x = -2
The solutions of the quadratic equation 3x² + 14x + 16 = 0 are x = -2 and x = -8/3.
To find the solutions of the quadratic equation 3x² + 14x + 16 = 0, we can use the quadratic formula.
The quadratic formula states that for an equation of the form ax² + bx + c = 0
The solutions for x can be found using the formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation 3x² + 14x + 16 = 0,
a = 3, b = 14, and c = 16.
Substituting these values into the quadratic formula, we get:
x = (-14 ± √(14² - 4.3.16)) / (2 × 3)
x = (-14 ± √(196 - 192)) / 6
x = (-14 ± √4) / 6
Now we have two possibilities for x:
x₁ = (-14 + √4) / 6
x₂ = (-14 - √4) / 6
Simplifying each expression:
x₁ = (-14 + 2) / 6
x₁ = -12 / 6
x₁ = -2
x₂ = (-14 - 2) / 6
x₂ = -16 / 6
x₂ = -8 / 3
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Write 5.54 million in ordinary form
Answer:
5,540,000Step-by-step explanation:
Write 5.54 million in ordinary form
5.54 * [tex]10^{6}[/tex] =
5540000
or
5.54 * 1000000 =
5540000
in the adjoining figure prove that<A+<B+<C+<D+<E is equal 180
It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°
How to find the sum of angles of a polygon?
The adjoining star contains a regular pentagon. Thus;
Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°
Thus;
Each interior angle of the pentagon = 540/5 = 108°
Thus, each exterior angle = 180 - 108 = 72°
Then measure of the angle at the vertex = 180 - 72 - 72 = 36°
Thus, each angle at the vertices of the star have an angle of 36°.
There are 5 star vertices and so;
Sum of angles of 5 star vertices = 5 * 36 = 180°
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Gaston has budgeted $475.00 for spending money on his trip to Zambia. If the current exchange rate is 1 U.S. dollar:12 Zambian kwacha, how many kwacha will Gaston have to spend?
3,958
4,500
5,700
6,200
Answer:
3,958 kjksjjdkskdjdjd
please help me with my math
Answer:
x=115⁰
z=27⁰
Step-by-step explanation:
65+x=180 -> Due to same side interior being equal to 180 degrees
x= 115
x = 3z + 34 -> opposite interior being equal
115 = 3z + 34
81 = 3z
divide by 3 on both sides
z=27
