$\sf\underline\bold\blue{Information\:given\:in\:the\:question:}$
π =[tex]\sf{ 3.1415}[/tex]$\sf{Diameter = 20inches}$$\space$
$\sf\underline\bold\blue{What\:we\:have\:to\:find?}$
$\sf{Area\:of\:the\:circle.}$$\space$
$\sf\underline\bold\blue{Answer:}$
$\sf\small{Area\:of\:the\:circle\:is : 314.15}$$\space$
$\sf\underline\bold\blue{Calculations:}$
Here we have the value of the circle's diameter that is 20inches. So, first we have to calculate the radius of the circle using the formula :
$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{Diameter}{2}$
$\space$
$\sf\underline\bold\blue{Calculating\:the\:required\:values:}$
$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{20}{2}$
$\sf{Convert \: to \: the\:lowest\:term(Divide),}$
$\mapsto$ $\sf\underline\bold{Radius=10}$
☆Now we know the value of the radius . So now let's calculate the area of the circle.
$\space$
$\sf\bold{Area\:of\:circle:}$ π$\sf{ r \: ^{2} }$
$\sf\bold{Evaluating \: the\:required\:values:}$
$\sf\bold{Area\:of\:circle=3.1415(10)^2}$
$\space$
$\sf\bold{Area\:of\:the\:circle=3.1415\times10\times10}$
$\sf\bold{Now,}$
$\sf\bold{Area\:of\:the\:circle:3.1415\times100}$
$\space$
$\sf\underline\bold\green{Thus,Area\:of\:the\:circle\: is \: 314.15}$
____________________________
A spinner numbered 1 to 6 is spun ten times, giving the results : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6. The experimental probability of getting a 2 is:
Answer:
1 / 5
Step-by-step explanation:
Given the outcome of number cube spin : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6
The experimental probability of an event, A is given as :
P(A) = number of times A occurs / total number of trials
Therefore, the experimental probability of getting 2 ;
P(getting 2) = Number of times 2 occurs / total number of trials
P(getting 2) = 2 / 10 = 1/5
[tex]\frac{3}{2x}[/tex]-[tex]\frac{11}{5}[/tex]=[tex]\frac{7}{8}[/tex].[tex]\frac{64}{49}[/tex]
Answer:
x=35/78
Step-by-step explanation:
3/2x-11/5=(7/8)*(64/49)
3/2x-11/5=8/7
3/2x=8/7+11/5
3/2x=117/35
x=(35*3)/(2*117)
x=35/78
Can someone help me out please
Answer:
CIRCUMFERENCE OF CIRCLE IS 2πr.
=2*3.14*6mi=results be the Answar
solve the equation: q²+2q-8=0
Answer:
q = -4 q=2
Step-by-step explanation:
q²+2q-8=0
Factor
What 2 numbers multiply to -8 and add to 2
4*-2 = -8
4-2 = 2
(q+4)(q-2) =0
Using the zero product property
q+4 = 0 q-2 =0
q = -4 q=2
I don't understand this one
Answer:
9/8 = n
Step-by-step explanation:
9 = 8n
Divide each side by 8
9/8 = 8n/8
9/8 = n
5√27-2√48-5√3-√(3-2√3)2
Answer:
4√3
Step-by-step explanation:
5√27-2√48-5√3-(√3-2√3)2
= 5√(3x9)-2√(3x16)-5√3-2√3+4√3
= 5(3)√3-2(4)√3-5√3-2√3+4√3
= 15√3-8√3-5√3-2√3+4√3
= 4√3
I NEEDDDD HELPPPP ITSSSS URGENTTTT!!!!!
Answer: 75.4
Step-by-step explanation:
The equation for the circumference for a circle is diameter times pi. 24 times pi is 75.3982236862. Rounded to the nearest tenth would make it 75.4.
A rectangle has a perimeter of 50m, the ratio between the two side is 32 . Caculator the area of that rectangle?
Answer:
Area of rectangle = 150 cm
Step-by-step explanation:
Given the following data;
Ratio = 3:2 Perimeter = 50mTo find the area of the rectangle;
First of all, we would determine the dimensions (length and width) of the rectangle;
For length;
Length, L = 2x
For width;
Width, W = 3x
Mathematically, the perimeter of a rectangle is given by the formula;
P = 2(L + W)
50 = 2(2x + 3x)
50 = 2(5x)
50 = 10x
x = 50/10
x = 5
Length, L = 2x = 2 * 5 = 10 cm
Width, W = 3x = 3 * 5 = 15 cm
Now, we would find the area of the rectangle;
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Area of rectangle = 10 * 15
Area of rectangle = 150 cm
What is the range of the function$$f(x) = \frac{1}{1-x}~?$$Express your answer in interval notation.
I think you tried copy pasting the thing in here. usually written equations on tests or whatever don't copy paste well
Divide $128 in the ratio 2:3:7
Answer:
21.33: 32: 74.67
Step-by-step explanation:
2:3:7
The total is 2+3+7 = 12
Divide 128 by 12
128/12 = 32/3
Multiply each number by 32/2
2*32/3 : 3*32/3 :7*32/3
64/3 : 32 : 224/3
Rounding to the nearest cent
21.33: 32: 74.67
helpppp: write the rule that describes the composition of transformations
What is the value of the expression 53.5-5? please explain
Answer:
48.5
Step-by-step explanation:
53.5
- 5.0
48.5
5 tenths - 0 tenths = 5 tenths (.5)
3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)
the 5 in the tens position becomes a four because one got "borrowed"
4 - 0 = 4 (4)
48.5 is the result
Which equation is in slope-y-intercept form?
Question 1 options:
a) 3x + 4y = 7
b) x = 4y - 2
c) y = 3x -1
d) x + 4y -2
Answer:
C = y - 3x-1
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
C = y - 3x-1 is in slope intercept form
The answer is A.
I took the test.
Could someone help me out?
Answers:
DE = 1.1DF = 1.6BC = 4.8===========================================================
Explanation:
I recommend drawing the two triangles as shown below. The diagram isn't to scale, but all that matters is that we get the general idea down.
Your teacher gave you this info:
angle A = angle E (red angles)angle C = angle F (blue angles)These two pieces of info are enough to prove that triangle ABC is similar to triangle EDF. Use the angle angle (AA) similarity theorem to do this proof. The order of the lettering matters because it helps us see how the letters pair up.
A and E go firstB and D in the middleC and F go lastSince the triangles are similar, the scale factor to go from ABC to EDF is EF/AC = 2/6 = 1/3
In other words, the side lengths of triangle EDF are exactly 1/3 that of the corresponding lengths of ABC. Or we can reverse things to say the sides of ABC are 3 times longer than the sides of EDF.
----------------------
Use this scale factor to help determine the missing length ED.
(ED)/(AB) = scale factor
(ED)/(AB) = 1/3
(ED)/(3.3) = 1/3
ED = (1/3)*(3.3)
ED = 1.1
Note how ED/AB = (1.1)/(3.3) = 11/33 = 1/3
----------------------
While we don't know how long sides BC or DF are, we are told that DF is 3.2 units shorter compared to BC.
This means
DF = BC - 3.2
DF = x - 3.2
Then we can say,
(DF)/(BC) = scale factor
(x-3.2)/(x) = 1/3
3(x - 3.2) = x*1
3x - 9.6 = x
3x - x = 9.6
2x = 9.6
x = (9.6)/2
x = 4.8
So BC is x = 4.8 units long and DF is x-3.2 = 4.8-3.2 = 1.6 units long
Please help !!!!!!!!!!!
Answer:
98°+62°+6x = 180
160+6x = 180
6x = 180 - 160
6x = 20
x= 20/6
x= 3.33
therefor your answer is 3.33
NEED HELP! What is the equation of the axis of symmetry?
A) x=-4
B) x=4
C) y=4
D) y= -4
what is the answer?
Answer:
3,6
Step-by-step explanation:
Anyone please help me
Standard form of a quadratic equation: ax^2 + bx + c = 0
4x^2 - 5x + 10 = 2x
4x^2 - 7x + 10 = 0
Hope this helps!
Find two fractions, when multiplied together make 3/4
Answer:
3/1 times 1/4, 3/2 times 1/2, 9/8 times 2/3
Answer:
1/2 & 3/2
Step-by-step explanation:
1/2 X 3/2 = 3/4
To get this answer, you need to think of two numbers which we can multiply to get 3 and two numbers which we can multiply to get 4.
Answer from Gauthmath
DOES A TRANSLATION PRESERVE ITS LENGTH, SHAPE, SIZE, AND ORIENTATION? EXPLAIN.
Step-by-step explanation:
Yes. A translations preserve it's. length, shape,size and orientation. WHY?
, A translation is a rigid transformation so it preserve it physical features of the shape( both pre image and current image).A translation can be used to show if two figures are congruent so it preserve it shape.Suppose that a sales person observes that if an item is priced at $9 per item then 6 items are sold. If 4 items are sold for $11 per item then find a linear equation to model the number y of items sold for x dollars per item. Find the slope-intercept form of the equation of the line.
Answer:
y = -x + 15
Step-by-step explanation:
if an item is priced at $9 per item then 6 items are sold.
Thus, the input is 9 while the output is 6.
Thus, we can say; x, y = (9, 6)
4 items are sold for $11 per item. Thus, the coordinate is; (11, 4)
Now,slope is;
m = (y2 - y1)/(x2 - x1)
m = (4 - 6)/(11 - 9)
m = -2/2
m = -1
We know that slope intercept form is;
y = mx + c
Let's try the first point.
Thus;
6 = -1(9) + c
6 + 9 = c
c = 15
Thus, equation of line is;
y = -x + 15
A pyramid has a square base of length 4.8 m and a total surface area of 85 m². Find the volume of the pyramid.
Answer:
164.33 m^3
Step-by-step explanation:
Mathematically, we have the formula for the volume as;
V = A * h/3
V = 5.8 * 85/3
V = 164.33 m^3
HELP ME PLS ITS URGENT
Answer: -3 (option D) is the answer.
(-8)-(-5)= -8+5 = -3
If 2 fligs make a flog and 3 flogs make a flug, how many fligs in 12 flugs?
Answer:
There are 72 fligs in 12 flugs
The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side length?
Write the equation to solve the problem.
Solve for x
Find the side of the triangle
Answer:
204.2 cm
Step-by-step explanation:
equilateral means all sides are of equal length.
the perimeter of such a triangle is simply 3 times one of these sides.
so,
612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54
6x = 558.6
x = 93.1
so, a single side is
0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm
to check
3×204.2 = 612.6 = the original perimeter.
so, correct.
1+1+5+8+6+45+6+4+34+423
Answer:
answer is 533 because we add all the no.
Which graph represents the step function f(x)=⌊x+2⌋?
Answer:
biyotiptol graph by using pen
What is the solution to the equation?
6-ste
e
3
2+52-9
2+53 +53-9-5
a-3
2:53 -9
a+54 +5 - 9+53
a-143
2+53 -9
e
Answer:
a = 3 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
a + 5 [tex]\frac{2}{3}[/tex] = 9 ← change mixed number to improper fraction
a + [tex]\frac{17}{3}[/tex] = 9 ( multiply through by 3 to clear the fraction )
3a + 17 = 27 ( subtract 17 from both sides )
3a = 10 ( divide both sides by 3 )
a = [tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]
Jeff and his friends win a prize.
Jeff's share is $160 which is ĭ of the prize.
Work out the value of the prize.
Answer:
Prize, P = $352
Step-by-step explanation:
Let Jeff's share be J.Let the value of the prize be P.Given the following data;
J = $160J = 5P/11To find the value of the prize;
[tex] \frac {5}{11} * P = 160 [/tex]
[tex] \frac {5P}{11} = 160 [/tex]
Cross-multiplying, we have;
[tex] 5P = 160 * 11 [/tex]
[tex] 5P = 1760 [/tex]
[tex] P = \frac {1760}{5} [/tex]
Prize, P = $352
Simplify for me please
