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.
Which of the following equations could represent the points in the table? Select all that apply.
Answer:
Options (A) and (C)
Step-by-step explanation:
From table attached,
Let the equation of a linear equation that represents the input-output values in the table is,
y - y' = m(x - x')
Where (x', y') is a point lying on the graph.
And m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through (0, 11) and (1, 5) will be,
m = [tex]\frac{11-5}{0-1}[/tex]
m = -6
Therefore, equation of the line passing through (0, 11) and slope = -6 will be,
y - 11 = -6(x - 0)
Equation of a line passing through (1, 5) and slope = -6 will be,
y - 5 = -6(x - 1)
Equation of a line passing through (2, -1) and slope = -6 will be,
y + 1 = -6(x - 2)
Equation of a line passing through (3, -7) and slope = -6 will be,
y + 7 = -6(x - 3)
Therefore, Options (A) and (C) are the correct options.
y = -5x– 1
y = -5x + 7
Answer:
see below
Step-by-step explanation:
y = -5x– 1
y = -5x + 7
Since they are both equal to y, we can set them equal to each other
-5x-1 = -5x+7
Add 5x to each side
-5x-1+5x= -5x+7+5x
-1 = 7
This is not true so there is no solution
The lines are parallel with different y intercepts
16+4|5x-4(x+2)|=7-2x
There are no solutions like kathy0315 said
what is $3 as a decimal
Answer:
3.00
Step-by-step explanation:
Answer:
3.00
Step-by-step explanation:
Since three is a whole number, that means it would be in front of the decimal.
What is a ratio equal to 56:64
Answer:
A ratio equal to 56:64 would be 7:8.
Step-by-step explanation:
7:8 is the simplest form
Answer:
Simplify it to get an equivalent ratio, i.e 7:8!
Hope this helps :))
Given m∠GHF = 34°, m∠HJF = 124°, and m∠FKJ = 79°.
Angle GFJ = 56 degrees
Angle FGH = 124 degrees
Angle HFJ = 34 degrees
Angle HKJ = 101 degrees
Step-by-step explanation:
The measure of the angles are:
[tex]\mathbf{GFJ = 56}[/tex]
[tex]\mathbf{GFJ = 56}[/tex]
[tex]\mathbf{\angle HFJ = 34}[/tex]
[tex]\mathbf{\angle HKJ =101}[/tex]
The given parameters are:
∠GHF = 34°,
∠HJF = 124°,
∠FKJ = 79°.
(a) Angle ∠GFJ
This is calculated as:
[tex]\mathbf{GFJ = 180 - \angle HJF}[/tex] --- base angles of parallelogram add up to 180 degrees
So, we have:
[tex]\mathbf{GFJ = 180 - 124}[/tex]
[tex]\mathbf{GFJ = 56}[/tex]
(b) Angle ∠FGH
This is calculated as:
[tex]\mathbf{\angle FGH = \angle HJF}[/tex] --- opposite angles of parallelogram are equal
So, we have:
[tex]\mathbf{\angle FGH = 124}[/tex]
(c) Angle ∠HFJ
This is calculated as:
[tex]\mathbf{\angle HFJ = \angle GHF}[/tex] --- corresponding angles
So, we have:
[tex]\mathbf{\angle HFJ = 34}[/tex]
(d) Angle ∠HKJ
This is calculated as:
[tex]\mathbf{\angle HKJ =180 - \angle FKJ}[/tex] ---- supplementary angles
So, we have:
[tex]\mathbf{\angle HKJ =180 - 79}[/tex]
[tex]\mathbf{\angle HKJ =101}[/tex]
Read more about angles in a parallelogram at:
https://brainly.com/question/9680084
State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]
sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]
c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle
Answer:
The answer is 2 triangles
Step-by-step explanation:
I took the test.
f(x) = -(x-3) +x
What is f(-1) = ?
Explanation:
Let y=3x
To calculate the inverse, interchange
x and y,
x =3 y
need help with questions................
Answer:
not a function
Step-by-step explanation:
you can not have one-to-many
there is two 3 in the X column
Write an equation in slope-intercept form with the given slope and y-intercept. m = 1 , b = -1
Answer:
y = 1x -1
Step-by-step explanation:
m is your slope which is 1 and -1 is you y intercept
the slope intercept form is y = mx + b
which means the equation will be y = 1x -1
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what rate has Ashley ridden her horse in rounds per hour?
Answer:
40
Step-by-step explanation:
Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply.
y = 0
y = 1
x = 1
x = –1
no vertical asymptotes
no horizontal asymptotes
Answer:
y = 0 , x = 1
Step-by-step explanation:
jdbdjdajhsbsbs
Answer:
Step-by-step explanation:
The graph has both a vertical and horizontal asymptote to which the value
of the function approaches as the y-values and x-values approaches
infinity respectively.
The horizontal asymptote is; y = 0The vertical asymptote is the line x = 1Reasons:
The horizontal asymptote is the horizontal line that the function's graph
tends towards as the value of the input variable approaches infinity.
The horizontal line that the graph of the function approaches is y = 0
Therefore;
The horizontal asymptote is; y = 0Similarly, the vertical asymptote is the vertical line that the graph of the
function approaches but never meets.
Therefore;
The graph of the function on the bottom left approaches the line x = 1 from
the left, while the graph of the function with the domain 0 < x < ∞,
approaches the line x = 1 from the right.
Therefore;
The vertical asymptote is the line x = 1Learn more here:
https://brainly.com/question/13939972
Riley is training to run in a 5-kilometer road race. She would like to
reduce her race time by 15 seconds each month that she trains.
The race is in 3 months. What is the total change in time that Riley
hopes to achieve?
1. What integer represents the change in race time Riley wants to
achieve each month?
2. What integer represents the number of months she will train?
3. Write a multiplication expression that can be used to find the total
change in time.
4. Complete the number line to find the product.
-15
--50-45-40-35-30-25-20-15 -10 -5
0
5. What is the total change in race time that Riley hopes to achieve?
Explain what this change represents in the situation.
Answer:
1. -15
2. 3
3. -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image.
5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.
Step-by-step explanation:
Given that it is a 5 kilometre race.
Time to be reduced each month = 15 seconds
Total number of months left in the race = 3
1. Riley wants to achieve each month a decrease of 15 seconds.
Integer representing the change = -15
2. Change in time i.e. 3 months is represented by integer 3.
3. There are a total of 3 months and there is a decrease of 15 every month.
so, multiplication expression is: -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image for the number line representation of the answer.
The arrow is from 0 to -45.
5. Total change in time is -45.
This change represents that achieving the goal will reduced the time by 45 seconds.
In the diagram below of AACD, DB is a median to AC, and AB = DB.
D
A
B
c
If mZDAB = 32°, what is mZBDC?
(1) 320
(3) 58°
(2) 520
(4) 64°
Answer:
it will be (3)
Step-by-step explanation:
since DB is a median
then DB= half AC , AB=BC
then AB=BD
then the two triangles are isosceles
The required m∠BDC is 32° .
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
According to the given question ;
DB is a median;
By the symmetry ;
Then DB = half AC ,
= AB = BC
Then= AB = BD
In a triangle, a line that connects one corner (or vertices ) to the middle point of the opposite side is called a median. A property of isosceles triangles, which is simple to prove using triangle congruence, is that in an isosceles triangle the median to the base is perpendicular to the base.
Then the two triangles are isosceles.
Means m∠DAB = m∠BDC = 32°
For the more information about the properties of isosceles triangle click the link given below.
https://brainly.in/question/13106654
How to solve 240=-16 Equation
no idea
Step-by-step explanation:
u can use google for this if u r in hurry
A tv costs $150. You have a coupon for 12% off.
1) How much money will be taken off of the price of the tv?
2) How much will you pay for the tv?
Answer:$18 taken away and the total will be 132
Step-by-step explanation:
HURRY!!!!
The value of a baseball card can be represented by the equation y = 3 x + 39, where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39
Answer:
mark as brainliest plz... it is $39
Step-by-step explanation:
ayeeeeeeeeeeeeeee
Please help
The perimeter of a rectangular pool is 48 feet. Its length is 4 feet more than its width.
Let the width of the pool be represented by x.
Which equation below can be used to describe the situation?
Step-by-step explanation:
perimeter = 2* ( length + width)
Length = 4 + Width = 4+x
Equation is,
2* (4+x+x) = 48
2* (4+2x) = 48
4+2x = 48/2 = 24
4+2x=24
2x = 24-4 = 20
2x = 20
x = 10
Please help with this problem
Step-by-step explanation:
the answer is because AP is not congruent to PB
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
ΔABD ≅ ΔCDB
Step-by-step explanation:
Since a = 3, we can sub 3 into the expressions and then get a value for each side length.
AB: 3 + 7 = 10
BC = 16
CD: 12 - 2 = 10
DA: 18 - 2 = 16
Hence:
AB = CD (both have sidelengths of 10)
AD = CB (both have sidelengths of 16)
BD = BD (common line)
Therefore: ΔABD ≅ ΔCDB Q.E.D.
Every quotitent of two integers is an integer
what is the value of the power a if 5a = 1/125?
Answer:
If
5
a
=
1
125
, find the value of a?
Step-by-step explanation:
There is a base f
5
on the left side, so write the denominator on the right as a base of
5
as well.
5
a
=
1
125
5
a
=
1
5
3
Move the base to the numerator.
5
a
=
5
−
3
If the bases are equal, the indices are equal:
∴
a
=
−
3
Which of the equations is graphed below?
A.) y=-4x+3
B.) y=-4x-3
C.) y=4x-3
D.) y=4x+3
Answer:
4x - 3 = y
Step-by-step explanation:
Here's why: 4 is your slope and -3 is your y intercept so the equation would look something like 4x - 3 = y.
Hope I helped
what is pi over 12 to the 10 power times 6 over 5.32018?
Answer: 3.9737436e-13
Step-by-step explanation: pi/12= 0.26179938779 to the tenth power = 5.0738475e-11 x 6/5.32018= 3.9737436e-13.
31 SPORTS Sixteen students in Mr. Prank's gym class each
participate in one or more sports as shown in the
table. Examples 2 and 3
Mr. Frank's Gym Class
Basketball Soccer Volleyball
Ayanna Lisa Pam
Ayanna Lisa
Sue
Pion
Shin
Lisa Tyron Mex
Ron
Max
Alda
Max
Aida
Juan
Ito
Evita
Juan
Nela
Percy
Tino
Kai
Percy
Nella
a. Let B represent the set of basketball players, S
represent the set of soccer players, and V represent the
set of volleyball players. Draw a Venn diagram of this
situation.
b. Find Sn V. What does this set represent?
c. Find S. What does this set represent?
d. Find BUV. What does this set represent?
Use the model to solve for x.
A) x = 2
B) x = 4
C) x = 8
D) x = 12
9514 1404 393
Answer:
B) x = 4
Step-by-step explanation:
You observe that the smaller number of (+1) tokens is 2 of them, found on the right side. Remove 2 (+1) tokens from each side to get ...
x + 4 = 2x
The smaller number of (x) tokens is 1, found on the left side. Remove 1 (x) token from each side to get ...
4 = x . . . . . matches choice B
_____
Comment on this approach
In general, this is a decent approach to use for solving any linear equation. You may find that x and number tokens end up on the same side of the equal sign (with 0 on the other side). Then you need to add some number of (-1) tokens to both sides to cancel the ones on the side with x.
At the end, you may need to split the problem evenly into equal parts according to the number of times x appears. (If this had been x+6 = 3x+2, then you would end with 4=2x. Splitting that into two equal parts, each would be 2=x.)
Solve:
-2(x – 4) = -8
x = 8
X = -8
X = 16
X = -16
Help please
Answer:
x = 8
Is that what you wanted?
Nool is a computer repairman, To fix a computer,
he charges a customer X per hour, plus a fired
lee of $15 for the service call, as represented by
the equation below
y = 40x + 15
In the equation, what is represented by the variable
A the number of hours Noel worked
the amount Noel charged per hour
C, the fixed fee for the service call
D. the total cost of the repair job
Can someone
Identify the exponent in the following number: 2^5
A. 2
B. 5
C. 16
D. 32
Answer: 5
Explanation: This type of algebraic expression is called a power.
Here, 2 represents the base and the represents the exponent.
A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?
Answer:
The truck is on pace.
Step-by-step explanation:
To find which truck will arrive first, you need to find each vehicle's mph. To get the mph of each vehicle you just need to divide the distance by time.
Bus: 110 (miles) ÷ 2 (hours) = 55 (miles per hour)
Truck: 180 (miles) ÷ 3 (hours) = 60 (miles per hour)
When you do this you can see the mph of the bus is < the mph of the truck.
If you have any questions please leave them in the comments.