Answer:
The radius of the sphere is approximately 62.71 cm
Step-by-step explanation:
The question relates to the definition of a sphere
The given parameters are;
The distance between the sharp parallel blades through which the sphere is rolled = 77 centimeters
The radii of the circular faces left by cutting the sphere with the blade = 39 cm and 60 cm
From the triangles formed by the cross-section of the sphere, we have;
AB ║ DE Given
∠A ≅ ∠E, ∠D ≅ ∠B Alternate angles
∠C ≅ ∠C by reflective property
∴ ΔABC ~ ΔDCE by Angle-Angle similarity theorem
CF/CG = AB/DE = 78/120 = 13/20
CF = CG × 13/20
CF + CG = 77
∴ CG × 13/20 + CG = 77
33·CG/20 = 77
∴ CG = 140/3
CF = 13/20 × CG = 13/20 × 140/3 = 91/3
CF = 91/3
The diameter of the sphere AE = AC + EC
By Pythagoras's theorem
AC = √(FA² + CF²) = √(39² + (91/3)²) = 13·√(130)/3
EC = √(CG² + GD²) = √((140/3)² + 60²) = 20·√(130)/3
∴ AE = AC + EC = 13·√(130)/3 + 20·√(130)/3 = 11·√(130)
The diameter, 'D', of the sphere, AE = 11·√(130)
The radius of the sphere = D/2 = 11·√(130)/2 ≈ 62.71 cm
Fred’s car has run out of gasoline. He walks 15 km west and then 8 km south looking for a gasoline station.
If he is now h km directly from his starting point, find the value of h.
good ghjhhyuugxdtybv equals 23
Answer:
17
Step-by-step explanation:
A^2 + B^2 = C^2
Help me pls !!!!!!!!!!!!!!
Answer:
the answer is B
Step-by-step explanation:
Does anyone have the answer for this
Answer:
The answer is 3a-27
You just gotta combine like terms (hope this helps)
Answer:3a-27.
hope it helps.
Calculate the discriminant of the quadratic equation.
Please I really need your help
Answer:
The discriminant of the quadratic equation is 0
Step-by-step explanation:
Here, we want to calculate the discriminant of the given quadratic equation
Mathematically, we have the discriminant calculated by the following formula;
D = b^2 - 4ac
where;
b represents the coefficient of x which is -2
a is the coefficient of x^2 which is 1/7
c is the last number which is 7
Substituting these values;
D = (-2)^2 -4(1/7)(7)
D = 4 - 4
D = 0
12y+15=24-6y ??????????????????
Answer:y=1/2
Step-by-step explanation:
PLS HELP! (it will only let me do 31 points :() but you get brainliest.
Explain how to determine the angle measurement for this angle.
Answer:
107, there is two lines after that so 108 109 and the last line is 110 so your answer will be 107 degrees.
Step-by-step explanation:
Answer:
[tex]\Large \boxed{\sf 107\°}[/tex]
Step-by-step explanation:
The line is in between 106° and 108° so it is 107°
When solving the inequality y< -2x+1 by graphing , the solution region will be
Answer:
We want to find the solution region for:
y < -2*x + 1
To find the region, the steps are:
Write the inequality as an equation like:
y = -2*x + 1
Let's graph this line.
Because we have the symbol "<", the line will be a dashed line. This is because y is strictly smaller than the line, so the points of the line itself are not solutions.
And our inequality is:
y < -2*x + 1
So y is smaller than the line, then the shaded region is all the region below the line.
The graph of this inequality is shown below.
Which of the following relations represents a function
((4,2), (8, 16), (7.9), (13,16)
((1, 2), (1,3), (1,4), (1,5)}
(0, 3), (4, 6), (7, 13), (4.9))
Answer:
The first set
A system of equations can be 2 equations that have the same variables. (TRUE or FALSE)
Answer:true
Step-by-step explanation: trust me
Molly needs 2.5 yards of fabric to make a blanket. She has
different patterns that contain 2.5 feet of fabric. One yard is
equivalent to 3 feet. How many blankets can she make with
the given material?
Answer:
0 Blankets
Step-by-step explanation:
2.5 yards is 7.5ft, and Molly only has 2.5ft, so she can not make a blanket.
Nate starts a lawn-mowing business. In his business, he has expenses and revenue. Nate's expenses are the cost of the lawn mower and gas, and his revenue is $25 per lawn
The question is incomplete. The complete question is :
Nate starts a lawn-mowing business. In his business, he has expenses and revenue. Nate's expenses are the cost of the lawn mower and gas, and his revenue is $25 per lawn. At what point will Nate's revenue exceed his expense?
Cost of lawn mower = $ 200
Cost of gasoline = $ 2 per lawn
Solution :
Given :
Cost of the lawn mower = $ 200
The cost of gasoline expense for one lawn = $ 2
The revenue generated for one lawn = $ 25
So let the number of lawn to be mowed = x
Therefore the total expenses = [tex]$200+2x$[/tex]
So, the total revenue = [tex]$25x$[/tex]
The point for which the revenue will exceed the total expenditure will be :
[tex]$25x \geq 200+2x$[/tex]
So at [tex]x=9, \ 225 > 218[/tex]
Thus the revenue exceeds the total expenditure after mowing 9 number of lawns.
Answer:
For part a and b of this question
Step-by-step explanation:
x= # of lawns cut y= total cost
revenue: y=25x
cost: y= -2x-200
He earns 25 per lawn, but loses $200 for his lawnmower and $2 per lawn.
b. y=25x y=-2x-200 y=25x
y=-2x-200 25x=-2x-200 y=25(-7.40)
27x= -200 y=-185
x=-7.40
I believe this is correct.
Find the measure of
Answer:
4
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
ok we know there's 180 we have 110 and 30 which = 140 so 180-140=40
nowwwwww
will name brainliest
which property is shown 12+(8+5)=(12+8)+5
Answer:
I believe substitution not 100% though
Step-by-step explanation:
you sub in the 12 for the 8 the 8 for the 5 and the 5 for the 12 hope it is right
Answer: associative property
Step-by-step explanation:
In the equation the parentheses are rearranged which is the associative property.
2. Find the value of n.
117°
3nº
Answer:
n = 39
Step-by-step explanation:
The base angles are congruent, that is
3n = 117 ( divide both sides by 3 )
n = 39
Write the linear equation in slope-intercept form given the following;
slope = 2 over 3 ' y-intercept = -1
Answer:
y=2/3x-1
Step-by-step explanation:
y=mx+b
slope 2/3
y-intercept -1
y=2/3x-1
Answer:
2=3x+-1y
Step-by-step explanation:
what is 42197.87 rounded to the nearst square centimenter
Answer:
42198 cm
Step-by-step explanation:
What is the product of (6)(-10)?
Answer:
The answer is -60.
Step-by-step explanation:
Since there are no other negative values, -60 is the answer.
Please like and mark brainliest!
Hope it helps!
which of these following graphs represent the following equations y= 2x pls help
Answer:
A
Step-by-step explanation:
its not c or b, they are both negative, and D is y=x, so A = y=2x because 2/1 is 2, the gradient
Can someone help me wi to this please.
a, 2a + 6
b,16y-8
c,24x-12
d,16y-8
e,15x+20
f,21x-35
g,28y+8
h,5a-5b
i,4a+4b
j,21x+7y
k,3x+6y
l, 18x+12
i hope you can give me brainliest, thanks!
Answer:
a) 2a+6 b) 16y-8 c) 24x-12 d) 16y-8 e) 15x+20 f) 21x-35
g)28y+8 h)5a-5b i) 4a+2b j) 21x+7y k) 3x+6y l) 18x+12
Step-by-step explanation:
To multiply out brackets, you multiply the values within the bracket by the one outside one at a time.
For example, for the first one, you would do 2*a, which is 2a, then 2*3, which is 6. Since the 3 was positive, the answer would be 2a+6.
4. Halla el valor de x. *
(4 puntos
x + 15x + 24 = -21 - 4x
Answer:
x= -9/4
Step-by-step explanation:
1) Isolate X
2) This will give you x+15x+4x=-21-24
(moving terms to another side will make it opposite, in this case positive 24 moving to the right will become negative 24)
3) Add the like terms
x+15x+4x = 20x
-21-24= -45
this will give you 20x=-45
4)Find the value of X by moving the 20 multiplier to the other side (this will become the opposite, division of 20)
x= -45/20
5) Simplify your answer
= -9/4
One of Emma's rabbits is chosen at random write down the probability that this rabbits is a female with short hair
Answer:
1/total number of rabbit in terms of gender and hair size
Step-by-step explanation: Snap Add?
Sample size is required to answer
1/total number of rabbit in terms of gender and hair size
Choose the option that properly uses the distributive property for the following expression.
-1/3(6x+2)
A: 6x-2/3
B: 2x+2/3
C: -2x-2/3
D: -2x+2
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-\dfrac{1}{3}(6x + 2)}\\\\\\\mathsf{DISTRIBUTE \ (-\dfrac{1}{3})\ within\ the\ PARENTHESES}\\\\\\\mathsf{= -\dfrac{1}{3}(6x)+-\dfrac{1}{3}(2)}\\\\\\\mathsf{-\dfrac{1}{3}(6x)=-2x}\\\\\\\mathsf{-\dfrac{1}{3}(2) = \dfrac{-2}{3}}\\\\\\\mathsf{= -2x + - \dfrac{-2}{3}}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: \bf -2x - \dfrac{2}{3}\ (Option\ C.)}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Add: 7 radical 8+ radical 50
Answer:
65
Step-by-step explanation:
HELPPPPPPPP PRE ALG !!!!!!! 20 POINTS!!!! HELP ASAPPPPPPP
Answer:
But is only 5 points
Step-by-step explanation:
y=8x−18
x=1/8y + 9/4
Answer:
y intercept: (0, -18) x intercept: (2.25, 0)
Which is bigger .24 or .71
Answer:
.71
Step-by-step explanation:
what's 875,098 to the nearest 100 rounded?
Answer:
the answer to the problem is 875,100
Answer:
875,100Step-by-step explanation:
When we round to a particular place, we will use a few simple rules.
First, let's highlight the place value we're rounding to.
875,098
Next, we look at the number behind the highlighted number, in this case the tens place. If the number is less than 5, the highlighted place value will stay the same. If the number is 5 or above, the highlighted place value increases by 1. In this case, we round 0 up to 1, since there was a 9 in the tens place. We then add zeros for the tens and ones place, since we rounded out of those.
ANSWER: 875,100
Can you please help me answer this
2-3/4K=1/8k+9
I need help it’s an iready plz help
Answer:
its the 2 bottom ones......
a farmer divides 20 acreas of land into one fourth sections. Into how many sections does the farmer divide her land?
Answer:
5 acres per section
Step-by-step explanation: