Answer:
C. None of these
Step-by-step explanation:
Mike is purchasing fabric for a school project. He needs to cut out circles with an area of 314 square inches. The fabric at the store is precut into squares, each of which has a whole number of inches for the length of its side. What is the smallest square piece of fabric Mike can purchase to use to cut out one of the circles?
Answer:
20 inches
Step-by-step explanation:
Mike needs to cut out circles with an area of 314 square inches.
Let d be the diameter of required the circle,
So, the area of the circle [tex]=\frac{\pi d^2}{4}[/tex]
[tex]\Rightarrow 314 = \frac{\pi d^2}{4}[/tex] [ given]
[tex]\Rightarrow 314\times 4 =\pi d^2[/tex]
[tex]\Rightarrow 314\times 4 =3.14 \times d^2[/tex] [ using \pi=3.14]
[tex]\Rightarrow d^2=\frac{314\times 4}{3.14}[/tex]
[tex]\Rightarrow d^2=400[/tex]
[tex]\Rightarrow |d|=\sqrt{400}=20[/tex]
[tex]\Rightarrow d=\pm 20[/tex] inches
Neglecting the negative sign as the length of diameter can't be negative.
So, the diameter of the required circle is [tex]d=20[/tex] inches.
As the available fabric at the store is in the square shape for which length and width are the same, to cut out one circle of diameter [tex]d[/tex], the dimension of the square must be greater than or equal to [tex]d[/tex].
So, the length of the smallest square piece of the fabric Mike can purchase to use to cut out one of the circles is [tex]d=20[/tex] inches.
Ricardo works in the marketing department of a game design company. His boss has offered to bonus the entire department of their average monthly game sales for March through July have been 4,567,5430,3998,5,220,and 4,906 respectively. How many games must they sell in august to earn the bonus.
Answer:
Approximately 4824 gamesStep-by-step explanation:
Given that the sales made are 4,567 ,5430, 3998, 5,220,and 4,906
the average is (4567+5430+3998+5220+4906)/5
=24121/5
=4824.2
in the month of august let the sales be x
average= (4567+5430+3998+5220+4906+x)/6
the average for march to july is 4824.2
4824.2= (4567+5430+3998+5220+4906+x)/6
24121+x=4824.2*6
24121+x=28945.2
x=28945.2-24121
x=4824.2
approximately 4824 games
2 + 29m - 9m - 5 =
HELP
Answer:
20m-3
Step-by-step explanation: hope that helps :)
2+29m−9m−5
=2+29m+−9m+−5
Combine Like Terms:
=2+29m+−9m+−5
=(29m+−9m)+(2+−5)
=20m+−3
What is the slope of the line???
PLEASE HELP!?
Giving Brainliest
Jabari and his friend both started a part-time job at the Swimming Hole earning $13 per hour. Jabari worked 14 ½ hours his first week. Jabari agreed to pay his friend 1/10 of his salary for reimbursement of gas. How much money did Jabari pay his friend for gas?
Answer: the answer would be 18.85
Step-by-step explanation:
multiply 13 by 14.5 then divide by 1/10
Answer:
18.85
Step-by-step explanation:
Standing on top of a 235 foot tall building, you spot your friend on the ground who is 94 feet away from the building. What is the angle of depression you had to look to spot your friend?
Answer:
bebot dede loooStep-by-step explanation:
wich of the following is a factor of x^4-8x^2+16
Answer:
(x-2)^2 x (x+2)^2
Step-by-step explanation:
An ornament shaped like a sphere has a radius of 2.3 inches which measurement is closest to the volume of the ornament in cubic inches
Answer:
50.97in^3Step-by-step explanation:
Volume of a sphere
The expression for the volume of a sphere is given as
V=4/3πr^3
Given that the radius is 2.3in
Substitute r= 2.3 in the expression to find the volume of the sphere
V=4/3*3.142*(2.3)^3
V=4/3*3.142*(12.167)
V=4/3*38.23
V=152.9/3
V=50.97in^3
Therefore the volume of the ornament is 50.97in^3
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.
__
There are no common angles or sides. Side BD of ΔBDG is part of one side of ΔAEF.
Answer:
see attached
Step-by-step explanation:
distribute then solve two-step = to get z
4(2z-5)=-4
x = 2
Step-by-step explanation:
math lol
I'm truly deeply sorry if its wrong :'))
Answer:
z = 2
Step-by-step explanation:
Given
4(2z - 5) = - 4 ← distribute parenthesis on left side by 4
8z - 20 = - 4 ( add 20 to both sides )
8z = 16 ( divide both sides by 8 )
z = 2
equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm, find the third sides
Answer:
[tex]\boxed{\pink{\sf Value \ of \ third \ side \ is \ 7cm . }}[/tex]
Step-by-step explanation:
According to Question , equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm . And we need to find the third side .
Let us take the third side be x.
By Question ,
[tex]\implies Perimeter_{\triangle}= x + 30 cm + 30cm \\\\\implies 67cm = 60cm + x \\\\\implies x = 67cm - 60cm \\\\\underline{\boxed{\red{\tt\implies x = 7cm. }}}[/tex]
Hence the value of third side is 7cm.
Can you pls answer the question below
Answer:
The student added instead of subtracting 6 from both sides first before dividing.
PLEASE PLEASE HELP I NEED THIS RIGHT NOW
Answer:
should be the last one 0.02
What is the equation for the line that is parallel to y = 5x + 8 and passes through the point (2, 16)?
Answer:
y=5x+6
Step-by-step explanation:
The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (2, 16).
And, The parallel line is,
⇒ y = 5x + 8
Now,
Since, The equation of line passes through the point (2, 16).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = 5x + 8
m = dy/dx = 5
m = 5
Thus, The equation of line with slope 5 is,
⇒ y - 16 = 5 (x - 2)
⇒ y - 16 = 5x - 10
⇒ y = 5x - 10 + 16
⇒ y = 5x + 6
Therefore, The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
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7. PLS I NEED AN ANSWER ASAP
Part A: 3x + 15 = 5x - 25
Part B: x = 20
You have researched your dream around-the-world vacation and determined that the total cost of the vacation will be $39,000. You feel you can earn an APR of 10.5 percent compounded monthly and plan to save $485 per month until you reach your goal. How many years will it be until you reach your goal and enjoy your well-deserved vacation?
Answer:
41.8 years
Step-by-step explanation:
From
[tex]A = P(1+r/n)^{nt}[/tex]
A= 39000
r = 10.5%
P = $ 485
n=12
t = the unknown
t= [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
t= ln 39000 - ln 485/ 12[ln(1+0.105/12)]
t= 10.57 - 6.18/0.105
t= 41.8 years
What is (16)-(11)7 in distributed property
Answer: I think you answer is -61 if not sorry
Step-by-step explanation:
Someone please help only answer if your 100 percent sure
Answer:
90
Step-by-step explanation:
Q: What is the measure of <8?
A)45
B)55
C)155
D)135
Please needed help asap!
Answer:
your answer should be, D.135
i hope this helps!
Answer:
D) 135
Step-by-step explanation:
--------------- = 180 degrees
It's split and the other half is 45 degrees.
All you have to do is subtract.
180-45=135
<8 = D) 135
mike bought an item for $14,000 after a discount of 30% what was the original price of the item mike brought? please show work.
Answer:
It should be $20,000
Step-by-step explanation:
From $20,000 to $14,000 = -30%
Which the -30% is the discount basically
So your final answer should be $20,000
$20,000 was the original price.
1. Choose the graph that represents the equation y = -x] - 1.
Answer:
x=−y−1
Step-by-step explanation:
y=−x−1
Step 1: Flip the equation.
−x−1=y
Step 2: Add 1 to both sides.
−x−1+1=y+1
−x=y+1
Step 3: Divide both sides by -1.
−x
−1
=
y+1
−1
x=−y−1
what is coefficient of x in Y^2x+y
Answer:
Coefficient of x, in this case, is '2'
The length of the rectangle is four times it’s width. The rectangle has an area of 1024cm2. What is the width of the rectangle
Answer:
Length = 4 times width
Area = length * width
=(4w)w
=4w²
So 4w²=1024 cm² (given)
w²=1024/4=256
w=√(256 cm²)
=16 cm (reject negative value of square-root)
Step-by-step explanation:
Hope this helps you
Crown me as brainliest:)
A ring is now reduced to £840.
This is a saving of 40% of the original price.
Work out the original price of the ring.
==============================================
Work Shown:
If you save 40%, then you pay 100% - 40% = 60% of the original price
final price = 60% of original price
final price = 0.60*(original price)
840 = 0.60x
0.60x = 840
x = 840/0.60
x = 1400
The ring was originally £1400 before the discount.
A line passes through the point (8,-7) and has a slope of -1/3 write an equation in slope intercept form for this line
Answer:
y= -1/3x-13/3
Step-by-step explanation:
(Refer to picture)
Use the general point-slope formula and plug in y1 and x1, then simplify
(I hope my handwriting isn't too bad, is so, I'll clarify any numbers you can't read.)
4. Simplify: (4 – 5) – (13 – 18 + 2).
(a) -1,
(b) –2,
(c) 1,
(d) 2.
Answer:
2
Step-by-step explanation:
(4-5) - (13-18+2)
( -1) - ( -3)
-1 + 3
2
Answer:
hello
[tex](4 - 5) - (13 - 18 + 2) = ( - 1) - ( - 3) = ( - 1) + 3 = 2[/tex]
Please look at the screenshot
Answer:
i believe its D
Step-by-step explanation:
if y=1/3 when x=1/2 find y when x=1/4
Answer:
y=1/3
3y=1...........(1)
x=1/2
2x=1..........(2)
:.
2x=3y
when x=1/4
2×1/4=3y
3y=1/2
y=1/(2×3)=1/6 is your answer
Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10. She wrote the following to represent the situation with a linear equation. What kind of equation did she use?
Answer: Standard Form
Step-by-step explanation:
In the slope intercept form, you can only solve for one equation at a time.
Ex: y = -2.5x + 15
but when using standard you can easly get the answer for both ticket prices
Ex: 25x + 10y = 150
5r + 2g = 30 is the linear equation that best describes the scenario.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.
Let "r" be the Number of reserved tickets she bought
and "g" be the number of general admission tickets she bought
Money spent od reserved ticket = 25 * r
Money spent in general tickets = 10 *g
Since she totals spent 150$
Thus, the equation will be
25r + 10g = 150
Divide by 5 into both the sides
5r + 2g = 30
therefore, The linear equation that represents the given situation is 5r + 2g = 30.
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PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE