Answer:
85cm^3
Step-by-step explanation:
Volume = Base Area * Height
17*5=85
If the circle has a diameter of 6 feet about how long is the chalk outline
Answer:
Find the circumference,
C = 2πr
Where 'π' is pi (3.14 or 22/70, and 'r' is the radius.
To find the radius of a diameter, you must the half of the diameter:
Diameter/2 = radius
6/2 = 3 is the radius.
Plug this into our formula;
C = 2πr
C = 2 x 3.14 x 3
C = 6.28 x 3
C = 18.84 feet.
Work out the length of x.
Give your answer rounded to 3 significant figures.
х
16.5 mm
6.6 mm
Answer:
x=17.771mm
Step-by-step explanation:
given a right triangle
to find vslue of x
solution (perpendicular) ² + (base) ² =(hypotenus) ²
using pythagorus theorem
(16.5)²+(6.6)²=(x)²
272.25+43.56=(x)²
315.81=(x)²
√315.81=x
x=17.771mm
Answer:
By Pythagoras theorem
H^2=P^2+B^2
x^2=(6.6)^2+(16.5)^2
x^2=43.56+272.25
x^2=315.81
x=√315.81
x=17.771mm
use the equality below to answer the question
0.08g+0.2<5
Answer:
g< 0.0153
Step-by-step explanation:
0.08g +0.2 < 5
0.08g < 5 + 0.2
0.08g < 5.2
g< 0.0153
Find the measures of the interior angles that maximize the area of an isosceles trapezoid
where the length of the non-parallel sides are each 4 inches and the length the shorter of
the two bases is 6 inches.
The measure of the angle that would maximize the area of this isosceles trapezoid is equal to 0.4395 rad.
Given the following data:
Base length = 6 inches.Sides length = 4 inches.How to calculate the area of a trapezium.Mathematically, the area of a trapezium is given by this formula:
A = ½ × (a + b) × h
A = ½ × (12 + 2l) × h
A = h(6 + l)
Next, we would derive a mathematical expression for A in terms of h as follows;
Let l = 4sinθ Let h = 4cosθA = (6 + 4sin(θ)) × 4cosθ
In order to determine the value of θ for which the area of this isosceles trapezoid is maximized, we would differentiate the area (A) with respect to angle (θ):
Note: sin²θ + cos²θ = 1 ⇒ cos²θ = 1 - sin²θ.
[tex]\frac{dA}{d\theta} =16 cos^{2} \theta - 4sin \theta(6+4sin \theta)\\\\\frac{dA}{d\theta} = 16 cos^{2} \theta - 16 sin^{2} \theta - 24sin\theta\\\\\frac{dA}{d\theta} =16(1-sin^{2} \theta)- 16 sin^{2} \theta - 24sin\theta\\\\\frac{dA}{d\theta} = - 32 sin^{2} \theta - 24sin\theta+16\\\\32 sin^{2} \theta + 24sin\theta-16=0[/tex]
Next, we would use the quadratic formula to solve for the value of sinθ.
Mathematically, the quadratic formula is given by this equation:
[tex]sin\theta = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
a = 32.b = 24.c = -16.Substituting the parameters into the formula, we have;
[tex]sin\theta = \frac{-24\; \pm\; \sqrt{24^2 - 4(32)(-16)}}{2(32)}\\\\sin\theta = \frac{-24\; \pm\; \sqrt{2624}}{64}\\\\sin\theta = \frac{-24\; \pm\; 51.23}{64}\\\\sin\theta = \frac{-24\;+\; 51.23}{64}\\\\sin\theta = \frac{27.23}{64}\\\\sin\theta = 0.4255\\\\\theta = sin^{-1}(0.4255)[/tex]
θ = 0.4395 rad.
Note: We would only consider the positive value of the quadratic root.
For the obtuse interior angles of the trapezoid, we have [tex](\frac{\pi}{2} +0.4395)[/tex]
Similarly, the measure of the acute interior angles of the trapezoid is [tex](\frac{\pi}{2} -0.4395)[/tex]
Read more on isosceles trapezoid here: https://brainly.com/question/4758162
Please help solve by elimination I hope its not blurry Have a nice day and Goodnight
Answer:
[tex]\displaystyle \textcolor{black}{4.}\:[-3, -5][/tex]
[tex]\displaystyle \textcolor{black}{3.}\:[8, -1][/tex]
[tex]\displaystyle \textcolor{black}{2.}\:[4, -7][/tex]
[tex]\displaystyle \textcolor{black}{1.}\:[3, -2][/tex]
Step-by-step explanation:
When using the Elimination method, you eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:
[tex]\displaystyle \left \{ {{2x - 3y = 9} \atop {-5x - 3y = 30}} \right.[/tex]
{2x - 3y = 9
{⅖[−5x - 3y = 30]
[tex]\displaystyle \left \{ {{2x - 3y = 9} \atop {-2x - 1\frac{1}{5}y = 12}} \right. \\ \\ \frac{-4\frac{1}{5}y}{-4\frac{1}{5}} = \frac{21}{-4\frac{1}{5}} \\ \\ \boxed{y = -5, x = -3}[/tex]
------------------------------------------------------------------------------------------
[tex]\displaystyle \left \{ {{x - 2y = 10} \atop {x + 3y = 5}} \right.[/tex]
{x - 2y = 10
{⅔[x + 3y = 5]
[tex]\displaystyle \left \{ {{x - 2y = 10} \atop {\frac{2}{3}x + 2y = 3\frac{1}{3}}} \right. \\ \\ \frac{1\frac{2}{3}x}{1\frac{2}{3}} = \frac{13\frac{1}{3}}{1\frac{2}{3}} \\ \\ \boxed{x = 8, y = -1}[/tex]
_______________________________________________
[tex]\displaystyle \left \{ {{y = -3x + 5} \atop {y = -8x + 25}} \right.[/tex]
{y = −3x + 5
{−⅜[y = −8x + 25]
[tex]\displaystyle \left \{ {{y = -3x + 5} \atop {-\frac{3}{8}y = 3x - 9\frac{3}{8}}} \right. \\ \\ \frac{\frac{5}{8}y}{\frac{5}{8}} = \frac{-4\frac{3}{8}}{\frac{5}{8}} \\ \\ \boxed{y = -7, x = 4}[/tex]
------------------------------------------------------------------------------------------
[tex]\displaystyle \left \{ {{y = -x + 1} \atop {y = 4x - 14}} \right.[/tex]
{y = −x + 1
{¼[y = 4x - 14]
[tex]\displaystyle \left \{ {{y = -x + 1} \atop {\frac{1}{4}y = x - 3\frac{1}{2}}} \right. \\ \\ \frac{1\frac{1}{4}y}{1\frac{1}{4}} = \frac{-2\frac{1}{2}}{1\frac{1}{4}} \\ \\ \boxed{y = -2, x = 3}[/tex]
_______________________________________________
I am joyous to assist you at any time.
Prove that:-
[tex] \sqrt{ \frac{1 + cos30 {}^{ \circ} }{1 - cos {30}^{ \circ} } } = sec \: {60}^{ \circ} + tan \: {60}^{ \circ} [/tex]
Answer:
[tex] \displaystyle{ \sqrt{ \frac{1 + cos \: {30}^{ \circ} }{1 - cos \: {30}^{ \circ} } } = sec \: {60}^{ \circ} + tan \: {60}^{ \circ} }[/tex]
[tex]LHS = \displaystyle{ \sqrt{ \frac{1 + cos \: {30}^{ \circ} }{1 - cos \: {30}^{ \circ} } } }[/tex]
[tex] \displaystyle{ \sqrt{ \frac{1 + \frac{ \sqrt{3} }{2} }{1 - \frac{ \sqrt{3} }{2} } } }[/tex]
[tex] \displaystyle{ \sqrt{ \frac{ \frac{2 + \sqrt{3} }{2} }{ \frac{2 - \sqrt{3} }{2} } } }[/tex]
[tex] \displaystyle{ \sqrt{ \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } } }[/tex]
[tex] \displaystyle{ \sqrt{ \frac{(2 + \sqrt{3} {)}^{2} }{4 - 3} } }[/tex]
[tex] \displaystyle{2 + \sqrt{3} }[/tex]
[tex]RHS = sec \: {60}^{ \circ} + tan \: {60}^{ \circ} [/tex]
[tex] = 2 + \sqrt{3} [/tex]
[tex] \rm\therefore{LHS=RHS,proved. }[/tex]
John multiplies one side of the equation 20 + 48 = 68 by a number s. What does he need to do balance the equation?
In order to balance the equation, John should multiply the second side of the equation by s.
Why?
Remember the Golden Rule of Algebra:-
[tex]\bigstar{\boxed{\sf{Whatever~you~do~to~one~side,~you~do~to~the~other.}}[/tex]
So if you multiply 1 side of the equation by s, you multiply the second side by s.
Please tell John about the Golden Rule of Algebra ;)
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
PLEASE HELP WILL GIVE BRANLIEST
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width
Answer:
Step-by-step explanation:
Let the width of the rectangle = x
As length is 5 inches longer than width, we have to add 5 to width
Length = x + 5
Perimeter of ractangle = 56 in
2* (length + width) = 56
2*( x + 5 + x) = 56
2* (2x + 5) = 56
Use distributive property: a*(b +c) =(a*b) + (a * c)
2*2x + 2*5 = 56
4x + 10 = 56
Subtract 10 from both sides
4x = 56- 10
4x = 46
Divide both sides by 4
x = 46/4
x = 11.5
Width = 11.5 in
length = 11.5 + 5
= 16.5 in
Find the value of each variable in the parallelogram.
Answer:
h=9
g=61
Step-by-step explanation:
16-h=7
g+4=65
&
Opposite angles and sides are equal in a paralleogram
g+4=65g=65-4g=61Amd
16-h=7h=16-7h=9What is a Semicircle?
Answer:
half a circle
If 2 cups = 1 pint, how many cups of liquid are in a 11-pint container?
Group of answer choices
18 - [5 + 1 + (4 - 2 + 2)}] please solve
Answer:
8
Step-by-step explanation:
[tex]\hookrightarrow 18 - [5 + 1 + (4 - 2 + 2)]\\\\\hookrightarrow 18-[5+1+(6-2)]\\\\\hookrightarrow 18-[5+1+4]\\\\\hookrightarrow 18-10\\\\\hookrightarrow 8[/tex]
The table below shows part of the operating budget of a small dairy farm for last year. The only expense not listed in the table is maintenance. Food = 1/3 housing = 1/3 medical care = 1/4 .This year,the managers of the farm will change the fraction of the budget for housing to 1/8 but will leave the fraction of the budget for food and medical care the same.Again,the remaining portion of the budget will be for maintenance expenses.What is the difference between the fraction of the budget for maintenance this year and last year?
The difference between the fraction of the budget for maintenance this year and last year is 5/24.
What is the difference?The first step is to determine the fraction of the budget used for maintenance last year.
Fraction of the budget used for maintenance = 1 - (1/3 + 1/3 + 1/4)
1 - 11/12 = 1/12
The second is to determine the fraction of the budget used for maintenance this year.
Fraction of the budget used for maintenance = 1 - (1/8 + 1/3 + 1/4)
1 - 17/24 = 7/24
The difference = 7/24 - 1/12
= 5/24
To learn more about subtraction of fractions, please check: https://brainly.com/question/915789
Please help me to answer this
Solve:-
[tex] \frac{x + 4}{x - 4} + \frac{x - 4}{x + 4} = 3 \frac{1}{3} [/tex]
help mmmm
Answer:
[tex] \displaystyle{ \frac{x + 4}{x - 4} + \frac{x - 4}{x + 4} = 3 \frac{1}{3} }[/tex]
[tex]\displaystyle{ \frac{ {(x + 4) }^{2} + {(x - 4)}^{2} }{(x + 4)(x - 4)} = \frac{10}{3} }[/tex]
[tex]\displaystyle{ \frac{ {x}^{2} + 8x + {4}^{2} + {x}^{2} - 8x + {4}^{2} }{ {x}^{2} - {4}^{2} } = \frac{10}{3} }[/tex]
[tex]\displaystyle{ \frac{ {2x}^{2} + 16 + 16 }{ {x}^{2} - 16 } = \frac{10}{3} }[/tex]
[tex]\displaystyle{3( {2x}^{2} + 32) = 10( {x}^{2} - 16) }[/tex]
[tex]\displaystyle{ {6x}^{2} + 96 = {10x}^{2} - 160 }[/tex]
[tex]\displaystyle{ {10x}^{2} - 160 = {6x}^{2} + 96 }[/tex]
[tex]\displaystyle{ {10x}^{2} - {6x}^{2} - 160 - 96 = 0 }[/tex]
[tex]\displaystyle{ {4x}^{2} - 256 = 0}[/tex]
[tex]\displaystyle{4( {x}^{2} - 64) = 0}[/tex]
[tex] {x}^{2} - {8}^{2} = \displaystyle{ \frac{0}{4} }[/tex]
[tex]\displaystyle{(x + 8)(x - 8) = 0}[/tex]
[tex]\displaystyle{ \rm{either, \: x + 8 = 0............(1) }}[/tex]
[tex] \rm{or ,\: x - 8 = 0...............(2)}[/tex]
From equation (1)
[tex]x + 8 = 0[/tex]
[tex]x = - 8[/tex]
From equation (2)
[tex]x - 8 = 0[/tex]
[tex]\displaystyle{x = 8}[/tex]
[tex] \therefore{x=±8}[/tex]
Fatima has 3 packs of batteries. Each pack contains 4 batteries. She gives her brother 8 batteries to put in his toy robot.
Let b represent the number of batteries Fatima has left.
Which equation could be used to find the value of b?
3×4−8=b
3+4−8=b
3 × 4 + 8 = b
3 + 4 + 8 = b
Using a system of equations, it is found that the equation that could be used to find the value of b is given by:
3×4−8=b
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
Fatima has 3 packs of batteries. Each pack contains 4 batteries, hence:
b = 3 x 4
She gives her brother 8 batteries to put in his toy robot, hence:
b = 3 x 4 - 8
Which means that the first expression is correct.
More can be learned about a system of equations at https://brainly.com/question/24342899
For each of the following, draw a diagram or use words to explain your answer.
A. How many 2/3 are in 2?
B. How many 1/10 are in 3?
Answer:
A. 3. B. 20
Step-by-step explanation:
2 divided by 2/3 is 2/ 2/3 or 6/2 which is 3.
3 divided by 1/10 is 3/ 1/10 or 30.
Riley has completed 6 of the 30 pages she was assigned for homework. What percentage of her homework does Riley have left to complete?
Answer:
80 Percent
Step-by-step explanation:
Since she has done 6/30 pages, she has 24/30 more pages to complete. Convert 24/30 to a decimal by dividing 24 by 30 to get the percentage, which is 80 percent
Hopefully this helps - let me know if you have any questions!
NO LINKS!!!
Part 3: Figure A is a dilated image of Figure B. Find the scale factor. #5 and 6
Answer:
Step-by-step explanation:
Scale:- 1box=1units
So
Take one side of each
B=6unitsA=10unitsScale factor(A to B)
[tex]\\ \rm\rightarrowtail \dfrac{6}{10}=\dfrac{3}{5}[/tex]
Scale factor (B to A) is 5/3#6
B=12A=6Scale factor (A to B)
[tex]\\ \rm\rightarrowtail \dfrac{12}{6}=2[/tex]
Scale factor (B to A)
[tex]\\ \rm\rightarrowtail \dfrac{6}{12}=0.5[/tex]
Pls help pls pls help me pls pls help pls
Answer:
D should be the answer because the rate of Mason and Evan is 3 pages per a minute because three goes into both like so 30÷10=3 and 12÷4=3. Which is why D is your answer.
Pam’s monthly food budget is equal to 40% of her monthly rent payment. If her food budget is $200 a month, how much is her rent payment each month?
so we know that 40% for the rent payment is for food, and we also know that those 40% are really 200 bucks, so what would it be for the 100%?
[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 40 & 200\\ 100& x \end{array} \implies \cfrac{40}{100}=\cfrac{200}{x}\implies \cfrac{2}{5}=\cfrac{200}{x} \\\\\\ 2x=1000\implies x=\cfrac{1000}{2}\implies x=500[/tex]
calvin and susie baked some cookies in the ratio of 3 : 7. calvin baked 60 fewer cookies than susie. how many cookies did they bake altogether?
Answer:
Acc to ques
7x-3x = 60
x = 15
so they made total of 10x = 150
l need help with this pls
Answer:
50°
Step-by-step explanation:
In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°
All changes saved 16. The Abdul family is comparing the costs of two different high-speed Internet services. With plan A, equipment installation is $199, and the monthly fee is $50. With plan B, the installation is $50, with a $90 monthly fee. The cost of Part A is given by f(x) = 50x + 199 and the cost of Part B is given by g(x) = 90x + 50, where x is the number of months of service.
Part A: Make two tables that you could use to graph the functions. Let x = 0, 1, 2, 3, 4, 5, and 6.
Part B: Graph both functions.
Part C: The Abduls plan on using the Internet service for one year. Based on cost, which plan would you recommend? Explain.
For one year, plan B would be recommended, because it would be cheaper.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of plan A is given by f(x) = 50x + 199 and the cost of plan B is given by g(x) = 90x + 50
For one year, plan B would be recommended, because it would be cheaper.
Find out more on equation at: https://brainly.com/question/2972832
Answer: Plan A
Step-by-step explanation:
f(x) = 50x + 199 = A
g(x) = 90x + 50 = B
Plan A = (1,249) (2, 299) (3,349) (4,399) (5,449) (6,499)
Plan B = (1, 140) (2, 230) (3, 320) (4,410) (5, 500) (6, 590)
Plan A would be recommended because plan A you pay the least amount = 499 dollars over 6 months versus 590 dollars over 6 months with plan B.
2) Jose bought a magazine for $10 and some erasers for $2 per eraser. He spent a total of $26. How many erasers
he buy?
I can solve it i just need to know the equation with X
The number 9 is a common factor of _________.
A) 6 and 9
B) 9 and 36
C) 16 and 27
Answer:
Step-by-step explanation:
B) 9 and 36
================================================
9 is a common factor of
9 and 36.
Here's why:
6 is not evenly divisible by 9
16 is not divisible evenly by 9 (it is divisible by 8)
All the other numbers are divisible by 9.
=============================================
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer. :)
What is the definition of a Pythagorean triple?
Answer:
a set of numbers that are used to find the hypotenuse
Step-by-step explanation:
brainliest
The integer solutions to the Pythagorean theorem, are called Pythagoras triples.
Definition of Pythagorean Triples:
The integer solutions to the Pythagorean theorem, [tex]a^{2} +b^{2} =c^{2}[/tex] are called Pythagorean triples which contains three positive integers a, b and c.
For example:
(3, 4, 5)
By evaluating we get
[tex]3^{2} +4^{2} =5^{2}[/tex]
⇒ 9 + 16 = 25
Hence, 3, 4 and 5 are Pythagorean triples.
Learn more about Pythagorean Triples here:
https://brainly.com/question/15190643
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Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating 20% tip on a bill of $46.69, the amount of the tip is approximately $_____
Answer:
9 doller
Step-by-step explanation:
we will find 20 percent of 46.69
is=pxw divided by 100
=9.338
or 9 doller
Need help with his geometry question. Find the value of x
Answer: 15
Step-by-step explanation: