Answers
[tex]\huge\bf{\color{Green}{Question:}}[/tex]
Find the volume of each solid. Round to the nearest tenth.[tex]\huge\bf{\color{orange}{Solution:}}[/tex]
Volume of the solid given = Volume of the small cone + Volume of the large cone.
[tex]\sf{V(solid)=V(small)+V(large)}[/tex]
[tex]\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3}π(5)²7+\frac{1}{3}π(5)²11}[/tex]
[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(7+11)}[/tex]
[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(18)}[/tex]
[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=150π}[/tex]
[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:≈{\color{magenta}{471.2 in³}}}[/tex]
=======================#Hope it helps you, mate!
(*°∀°)=3
Related Questions
Solve 8x + c = k for x.
Answers
Answer:
x = (k - c)/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
8x + c = k
Step 2: Solve for x
[Subtraction Property of Equality] Subtract c on both sides: 8x = k - c[Division Property of Equality] Divide 8 on both sides: x = (k - c)/8Answer:
[tex]x = \frac{k -c}{8}[/tex]
Step-by-step explanation:
[tex]8x + c = k\\\\8x + c-c = k -c \ \ \ \ \ \ \ \ \ [\ subtract \ c \ from \ both \ sides \ ]\\\\8x = k - c\\\\\frac{8x}{8} = \frac{k-c}{8} \ \ \ \ \ [ \ divide \ both \ sides\ by\ 8 \ ]\\\\x = \frac{k-c}{8}[/tex]
Three friends got the prize money worth 36,000. The first friend would get three times the amount of the third friends portion. The third friend would get twice the amount of the second friends portion. Determine the amount that each friend would receive.
Answers
Answer: thats tuff
Step-by-step explanation:
Which table represents a nonlinear function? ASAP
Answers
Answer:
The second table, the table in the middle.
Step-by-step explanation:
Since the x-values of all the tables differ by 1, the difference between the y-values must be constant in order for the table to be linear. In second table, the different between the first and second y-value (from top to bottom) is 3, however the difference between the second and third and third and fourth values are 1.5, which is not constant. Therefore, the second table is nonlinear.
A right rectangular prism is made with 8 small cubes.
Each cube has an edge length of 1/5 inch.
What is the volume, in cubic inches, of the prism?.
Answers
Answer:
C. ⁸/125
Step-by-step explanation:
The volume of the right rectangular prism = 8 × volume of 1 cube
Volume of cube = a³
Where,
a = ⅕ inch
Volume of 1 cube = (⅕)³
= 1/125 cubic inch
✔️Volume of the rectangular prism = 8 × ¹/125
= ⁸/125 cubic inch
Find the equation of the line with m=6 and b = -7. Write the equation in slope intercept form.
Answers
Answer: [tex]y=6x-7[/tex]
Step-by-step explanation:
We use the formula y=mx+b to put it into slope-intercept form
m=6 (slope)
b=-7 (y-intercept)
Therefore, the answer is y=6x-7
Which equation can be used to solve for c?
Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.
c = (5)cos(35o)
c = StartFraction 5 Over cosine (35 degrees) EndFraction
c = (5)sin(35o)
c = StartFraction 5 Over sine (35 degrees) EndFraction
Mark this and return
Answers
Answer:
5 no i am not preety sure though
Answer:
the answer is B on edge
Step-by-step explanation:
to the other person , .. that's not a fricking answer
The sum of six times a number and the quotient of that number and two is ten.
Answers
6x + x/2
Which algebraic expression best represents this word phrase?
The sum of six times a number and the quotient of that number and two
Finding the volume of the solid.Use unit cubes to help.
Answers
Answer:
the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.
Hope this help
Have a nice day :)
the polynomial function f(x)=3x5-2x2+7x
Answers
Answer:
f(x)=7x+11
Step-by-step explanation:
15-4-7x= 7x+11. Sp y or f(x)= 7x+11
- The area of a rectangle can be found by using A
24w + w2, where w represents the
width. What is the width of the rectangle when the area is 3456 in.2 ?
Answers
Answer:
26w
Step-by-step explanation:
SOLVE EQUATION BY TAKING SQUARE ROOTS.
-100+81a^2=0
Answers
Answer:
a = ±10/9
Step-by-step explanation:
[tex]-100+81a^2=0\\81a^2=100\\a^2=\frac{100}{81}\\\sqrt{a^2}=\sqrt{\frac{100}{81} }\\a=10/9\\a=-10/9[/tex]
GOOD MORNING AND CONGRATULATIONS ON YOU GRADUATING :D
Possible answers, 35, 30, 90,64
Answers
Answer:
30
Step-by-step explanation:
this is a right-angled triangle.
as we can see on the graph and the coordinate units,
AB = 4
BC = 7
=>
AC² = AB² + BC² = 4² + 7² = 16+49 = 65
AC = sqrt(65)
now, in every triangle there are certain ratios equal to each other.
a/sin(A) = b/sin(B) = c/sin(C)
a is here BC
b is here AC
c is here AB
and we know B = 90 degrees
sin(90) = 1
so, we have
sqrt(65)/1 = 4/sin(C)
sqrt(65) = 4/sin(C)
sin(C) = 4/sqrt(65) = 0.496138938...
C = 29.7448813...
the closest answer option is 30.
Write the equation of the circle whose center is (-4,8) and has a diameter of 18
Answers
Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
write 600 as a product of it's primse factors
Answers
Answer:
2*2*2*3*5*5
or
2^3 *3* 5^2
Step-by-step explanation:
600 = 60*10
These are not prime so keep going, breaking 60 and 10 down
= 6*10 * 5*2
6 and 10 are not prime so keep going ( 5 and 2 are prime)
= 3*2 * 5*2 * 5*2
All of the numbers are prime, so we normally write them in order from smallest to largest
2*2*2*3*5*5
We can write with exponents
2^3 *3* 5^2
The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
H0: Level of math is independent of/dependent on grade level.
H1: Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Answers
Solution :
The expected matrix is :
[tex]$E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$[/tex] Honors Regular General
6 th grade 33.0986 46.0070 14.8944
7 th grade 34.8592 48.4542 15.6866
8 th grade 32.0423 44.5387 14.4190
Thus we can say that the level of math is not dependent on the grade level.
Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419
[tex]H_0[/tex] : The level of math is independent of the grade level.
[tex]H_1[/tex] : The level of math is dependent on the grade level.
You're at the aquarium, staring into a large exhibit, when you look to your left and slightly downward and you see a jellyfish. You notice that the jellyfish body looks like a very wide, upside-down parabola. What is a possible equation that models the jellyfish, assuming your eyes are at (0, 0)?
a) -2(x + 3)2 + 4
b) -3(x - 2)2 - 1
c) -25(x + 1)2 - 5 .
d) 3(x-4)2 + 2
e) Answer is not there
Answers
Step-by-step explanation:
c is an upside down parabola but it is not wide, it is very then so maybe e?
The nth term of a sequence is given by the rule 3n -1. What is the 10th term of the sequence?
Answers
Answer:
well, just put in 10 instead of n, after all we want the 10th, not the n'th
3*10 -1 = 29
simple as that.
hope it helps you. if you got further questions just put them in a comment:)
If bob gives away 7 blocks, he will have 12 left. How many blocks did he have originally
Answers
Answer:
h
Step-by-step explanation:
19 blocks
Answer:
original blocks =19
Step-by-step explanation:
original blocks -7 =12
Add 7 to each side
original blocks -7+7 =12+7
original blocks =19
a line passes through the points (2,6) and (4,9) move an expression and a number
Answers
Answer:
General equation of line is y=mx+c where m is the slope
Slope of line parallel to x-axis is m=0
So y=(0)x+c⟹y=c
(−4,6) lies on our required line y=c
⟹6=0(−4)+c
⟹c=6
Equation of the line is y=6
Step-by-step explanation:
In this diagram, a triangular prism is cut by a plane as shown. What is the shape of the cross section?
Answers
Answer: it’s a triangle
Step-by-step explanation:
Answer:
triangle
Step-by-step explanation:
Which of the following is the product of 7/8 and -4/21? a.- 1/6 b.1/12 c.- 16/21 d.- 147/32
Answers
Answer:
A. -1/6
Step-by-step explanation:
7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6The product of 7/8 and -4/21 is a.- 1/6.
What is the product?In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.
Now the given numbers are,
7/8 and -4/21
now taking 7/8 and since 8= 4*2
so, 7/8 = 7/(4*2)
Again taking -4/28 and since 28 = 7*4
so, -4/21 = -4/(7*3)
hence the product of 7/8 and -4/21 is given as,
7/8*(-4/21) = 7/(4*2) x -4/(7*3)
taking alike terms together we get,
7/8*(-4/28) = (7/7)(4/4)(-1/2*3)
⇒ 7/8*(-4/28) = -1/6
Hence the correct option is a.-1/6
Therefore,The product of 7/8 and -4/21 is a.- 1/6.
Learn more about product :
https://brainly.com/question/1549083
#SPJ6
A total of 765 tickets were sold for the school play. They were either adults or students tickets. There were 65 more student tickets sold than adult tickets. How many adult tickets were sold?
Answers
Answer: 350 adult tickets
Step-by-step explanation:
(omg I remember this question!)
a stands for the number of adult tickets soldstudent tickets : a + 65
the equation for the prob:
765 = a + (a + 65)
solve:
combine 'like terms'
1.) 765 = a + a + 65
2.) 765 = 2a + 65
- 65 - 65
700= 2a
divide by 2
700/2 = 2a/2
(700/2 = 350)
(the "2" in 2a is cancelled out by the other 2)
350 = a
Will mark Brainlest!!
Help Please!
(1). find the domain and range of the following
Answers
Answer:
Step-by-step explanation:
You have the domain. It is given as -1≤x≤1
Now all you have to do is figure out the range which is the y value. At first glance I think it might be 3, but that does not look very logical. I'll post this much of it now and be back in under an hour with a more complete answer.
Of course! How silly of me. There is a minimum of y = 1 in the range which comes from x = 0
I've included a graph so you can see how this all works.
So the range = 1 ≤ y ≤ 3
a perpendicular bisect or, cd, is drawn through point c in ab.
if the coordinates of point a are (-3,2) and the coordinates of point b are (7,6), the x-intercept of cd is __. Point __ lies in CD
Answers
( 3,0), (18/5,0), (9,0), or (42/2, 0),
Point (-52, 141), (-20, 57), (30, -71), or (54, -128) lies on Line CD.
m AB = 2 / 5
C = (2, 4)
m CD = -5 / 2
Equation of line passing though C and D
y = (-5/2)x + b
4 = (-5/2)(2) + b
4 = -5 + b
9 = b
y = (-5/2)x + 9
For the x-intercept y = 0
∴ y = (-5/2)x + 9
0 = (-5/2)x + 9
5/2 x = 9
x = 2/5 × 9
= 18/5
x-intercept = (18/5, 0)
Find q. will give brainliest!!
Answers
Step-by-step explanation:
q=24 m
cause its congurent
Help I am very bad at math I need answers by tomorrow if you can help please do
Answers
Answer:
Step-by-step explanation:
(a - b)(a +b) = a² - b²
1 - Sin² A = Cos² A
[tex]LHS = \frac{1}{1- Sin A} + \frac{1}{1 + Sin A}\\\\= \frac{1*(1 + Sin A)}{(1- Sin A)(1 + Sin A)} + \frac{1*(1- Sin A)}{(1 + Sin A)(1- Sin A)}\\\\= \frac{1 + Sin A+ 1 - Sin A}{1^{2}- Sin^{2} A}\\\\= \frac{2}{1 - Sin^{2} A}\\\\= \frac{2}{Cos^{2} A}\\\\= 2 Sec^{2} A[/tex]
2) Sec² A - Tan² A = 1
[tex]LHS = \frac{1}{Sec A - Tan A}\\\\=\frac{1*(Sec A + Tan A)}{(Sec A - Tan A)(Sec A + Tan A)}\\\\=\frac{Sec A + Tan A}{Sec^{2} A - Tan^{2} A}\\\\=\frac{Sec A + Tan A }{1}\\\\= Sec A + Tan A = RHS\\\\\\[/tex]
3) LHS = Cosec² A + Cot² A
= Cosec² A + Cosec² A - 1
= 2Cosec² A - 1 = RHS
[tex]4) LHS = \frac{Sec A}{Cos A}- \frac{Tan A}{Cot A}\\\\ = Sec A*\frac{1}{Cos A}-Tan A*\frac{1}{Cot A}\\\\ = Sec A * Sec A - Tan A * Tan A\\\\= Sec^{2} A - Tan^{2} A \\\\= 1[/tex]
Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Business Bureau are often banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships. Consider the results for a sample of 200 complaints.
Required:
Construct frequency and relative frequency tables showing complaints by industry.
Answers
Answer:
[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]n =200[/tex]
[tex]Bank = 26; Cable = 44; Car = 42; Cell = 60; Collection = 28[/tex]
Required
The frequency relative frequency table
The frequency table is as follows:
[tex]\begin{array}{cc}{Industry} & {Frequency} & {Bank} & {26} & {Cable} & {44} & {Car} & {42} & {Cell} & {60} & {Collection} & {28} & {Total} & {200} \ \end{array}[/tex]
Relative frequency (RF) is calculated using:'
[tex]RF = \frac{Frequency}{Total} * 100\%[/tex]
So, we have:
[tex]Bank = \frac{26}{200} * 100\% = 13\%[/tex]
[tex]Cable = \frac{44}{200} * 100\% = 22\%[/tex]
[tex]Car = \frac{42}{200} * 100\% = 21\%[/tex]
[tex]Cell = \frac{60}{200} * 100\% = 30\%[/tex]
[tex]Collection = \frac{28}{200} * 100\% = 14\%[/tex]
So, we have:
[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]
Choose all that correctly give the distance in the coordinate plane between two points.
(-5, 8), (5,8)
d = 10
(3,8), (3, -6)
d = 12
(-2,-9), (-2,4)
d = 13
(8, -7), (1, -7)
d = 9
(-12, -4), (-6, -4)
d = 6
Answers
When the x-coordinates (or y-coordinates) match find the difference between the other values.
Can you help me please
Answers
Answer:
mid point=(x1 + x2)/2 (y1 + y2)/2
(-5+5)/2 and (-7+4)/2
0 and 1.5
midpoint=(0,1.5)
Can someone answer these questions for me? (Questions are in the picture)
Answers
2. (7/12)
3. (4/21)
To divide fractions all you have to do is take a dividend, the first number, and multiply it by the inverse of the divisor, which is the second number.
2 is c
3 is B