Answer:
A)Option A - To make sure that you get a straight line to bisect the line segment
B) Option D - Yes, it is still possible. So long as the compass is wider than half the length of the line segment and still intersects the line segment, it is possible to bisect the line segment.
Step-by-step explanation:
1) In bisection of a line segment, we seek to divide the line into 2 equal parts. Now, when using the bisection points of an arc, it's important to have two intersection points above and below the line segment so that we can draw a straight line that will pass through the horizontal line segment we are bisecting to make the bisected parts equal in length.
So option A is correct.
2) When bisecting a horizontal line segment using compass, usually we place one leg of the compass at one endpoint of the line and open the other leg of the compass to a length that's more than half of the horizontal line segment. Thereafter, we draw our arc from top to bottom. Without changing the distance of the opened compass, we put one of the legs at the 2nd endpoint and now draw another arc to intersect the previously drawn one.
Now, from the question we are told that the line segment has a length of approximately 10 cm and the compass is set to a width of 9 cm. Now, since 9cm is more than half of the line segment and provided this width of 9cm is maintained when moving the leg to the second endpoint, then it is possible.
Option D is correct.
Given the true/false statements are true (facts), select the best logical induction made from thoses statements: Mo likes oranges, jai likes oranges, Ben like oranges.
Answer:
People like oranges
Step-by-step explanation:
Given:
Mo likes oranges. Jai likes oranges. Ben likes oranges.
We have a few different options;
Option A: People don't like other fruit, such as apples. This can't be possible because we have only been given people who like oranges.
Option B: People on like oranges. This can't be possible because only is the case where people do not like any fruit except oranges, and we are not sure of this.
Option C: People like oranges. This can be possible because Mo, Jai, and Ben likes oranges
Option D: People like fruit. This can't be possible because we are not sure if people like all fruits or not
People like oranges.
What is Induction?the action or process of inducting someone to a position or organization.
How to determine?We have a few different options;
Option A: People don't like other fruit, such as apples. This can't be possible because we have only been given to people who like oranges.
Option B: People like oranges. This can't be possible because only is the case where people do not like any fruit except oranges, and we are not sure of this.
Option C: People like oranges. This can be possible because Mo, Jai, and Ben like oranges
Option D: People like fruit. This can't be possible because we are not sure if people like all fruits or not
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Will choose the brainliest
And please make sure the answer us correct
Thank you:)
Jeremy bought $2,500 worth of gold this week. If the price of gold appreciates at the rate of 5.5%
each year, what will his gold be worth in 7 years?
Answer:
$3,636.70
Step-by-step explanation:
Given the following:
Initial price of Gold (A) = $2500
Rate of appreciation (r) = 5.5% = 0.055
Worth of gold in 7 years will be?
Period (p) = 7
Using the compound interest formula :
Let F = final amount
F = A( 1 + r/n)^nt
n = number of times Appreciation occurs per period.
Since rate compounds yearly, then, n = 1
F = $2500( 1 + 0.055/1)^(7*1)
F = $2500(1 + 0.055)^7
F = $2500(1.055)^7
F = $2500(1.454679161133794609375)
F = $3636.6979
Amount in 7 years = $3,636.70
To solve the linear equation , the first step is to multiply each side by the least common denominator of all the fractions in the equation. What is the LCD?
Answer:
84
Step-by-step explanation:
The least common denominator of the 7, 6, 12, which are the denominators of the fractions in the given linear equation, is the least expression or number that is divisible by 7, 6, 12.
To find the LCD, express each number as factors of itself as follows:
[tex] 7 = 1*7 [/tex]
[tex] 6 = 2*3 [/tex]
[tex] 12 = 2^2*3 [/tex]
Find the product of the highest terms
The product = LCD = [tex] 1*2^2*3*7 = 84 [/tex]
LCD of 7, 6, 12 = 84
Answer:
84
Step-by-step explanation:
Evaluate the following iterated integral by converting to polar coordinates.
∫8 −8∫0^(64−x^2)1/2 sin(x^2+y^2) dydx
Integration
IntegralsIntegration TechniquesIntegration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Double Integrals
Polar Coordinates Conversions:
[tex]\displaystyle x = r \cos \theta[/tex][tex]\displaystyle y = r \sin \theta[/tex][tex]\displaystyle x^2 + y^2 = r^2[/tex]Integral Conversion [Polar Coordinates]:
[tex]\displaystyle \iint_T {f(x, y)} \, dA = \iint_R {f(r, \theta)r} \, dr \, d\theta[/tex]
The formatting of the question was thrown off, so I have defined it down below.
We are given an integral and asked to convert to polar coordinates as well as evaluate it:
[tex]\displaystyle \int \limits^{8}_{-8} \int \limits^{\sqrt{64 - x^2}}_{0} \sin(x^2 + y^2) \, dy \, dx[/tex]
It would be quite difficult to evaluate the given integral using conventional methods, so we apply polar conversion to evaluate the integral. Let's start out by converting the function and the bounds.
[Bounds] Cartesian to Polar:
[tex]\displaystyle \left \{ {{-8 \leq x \leq 8} \atop {0 \leq y \leq \sqrt{64 - x^2}}} \right \longrightarrow \left \{ {{0 \leq r \leq 8} \atop {0 \leq \theta \leq \pi}} \right[/tex]
[Function] Cartesian to Polar:
[tex]\displaystyle f(x ,\ y) = \sin(x^2 + y^2) \longrightarrow f(r ,\ \theta) = \sin r^2[/tex]
Now that we've converted to polar coordinates, we can convert the integral using our integral conversion listed under "Multivariable Calculus":
[tex]\displaystyle \int \limits^{8}_{-8} \int \limits^{\sqrt{64 - x^2}}_{0} \sin(x^2 + y^2) \, dy \, dx \longrightarrow \int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta[/tex]
We can now evaluate the polar integral using basic integration techniques listed under "Calculus":
[tex]\displaystyle \begin{aligned}\int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta & = \int \limits^{\pi}_{0} \underbrace{\int \limits^{8}_{0} r \sin r^2 \, dr \, }_{u = r^2 ,\ du = 2r \, dr} d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \int \limits^{8}_{0} 2r \sin r^2 \, dr \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \int \limits^{r = 8}_{r = 0} \sin u \, du \, d\theta \\\end{aligned}[/tex]
[tex]\displaystyle \begin{aligned}\int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta & = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( - \cos u \bigg) \bigg| \limits^{r = 8}_{r = 0} \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( - \cos r^2 \bigg) \bigg| \limits^{r = 8}_{r = 0} \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( - \cos 64 + 1 \bigg) \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( 1 - \cos 64 \bigg) \, d\theta \\\end{aligned}[/tex]
[tex]\displaystyle \begin{aligned}\int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta & = \frac{1}{2} \bigg(1 - \cos 64 \bigg) \bigg( \theta \bigg) \bigg| \limits^{\pi}_{0} \\& = \boxed{ \frac{\pi}{2} \bigg( 1 - \cos 64 \bigg) }\end{aligned}[/tex]
∴ the integral equals:
[tex]\displaystyle \boxed{ \frac{\pi}{2} \bigg( 1 - \cos 64 \bigg) }[/tex]
[tex]\displaystyle \int \limits^{8}_{-8} \int \limits^{\sqrt{64 - x^2}}_{0} \sin(x^2 + y^2) \, dy \, dx = \boxed{ \frac{\pi}{2} \bigg( 1 - \cos 64 \bigg) }[/tex]
___
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Topic: Multivariable Calculus
Unit: Double Integrals
The equation $y = -6t^2 + 51t$ describes the height (in feet) of a projectile launched from the surface of Mars at 51 feet per second. In how many seconds will the projectile first reach 108 feet in height?
Answer:
4 OR 4.5 SECONDS
Step-by-step explanation:
HII PLEASE HELP ME IN THIS
Step-by-step explanation:
(i) Sum the forces at point M in the x direction.
∑F = ma
-T sin 30° − T sin 30° + 5 N = 0
2T sin 30° = 5 N
T = 5 N
(ii) Sum the forces on the ring in the x direction.
∑F = ma
T sin 30° − N = 0
N = 2.5 N
Sum the forces on the ring in the y direction.
∑F = ma
T cos 30° − mg − Nμ = 0
Nμ = T cos 30° − mg
2.5 μ = 5 cos 30° − 2
μ = 0.932
(iii) Sum the forces on the ring in the y direction.
∑F = ma
T cos 30° − m₁g − m₂g + Nμ = 0
m₂g = T cos 30° − m₁g + Nμ
m (10) = 5 cos 30° − 2 + (2.5)(0.932)
m = 0.466 kg
In the triangle below,
y = [ ? ] cm. Round to the
nearest tenth.
Answer:
The answer is
12.3 cmStep-by-step explanation:
Since the triangle is a right angled triangle we can use trigonometric ratios to find y
To find y we use cosine
cos∅ = adjacent / hypotenuse
From the question
y is the adjacent
The hypotenuse is 15
So we have
[tex] \cos(35) = \frac{y}{15} \\ y = 15 \cos( 35 ) \\ y = 12.28728[/tex]
We have the final answer as
12.3 cm to the nearest tenthHope this helps you
Which equation can pair with X- y=-2 to create a consistent and dependent system?
O 6x + 2y = 15
0 -3x + 3y = 6
O _8x – 3y = 2
O 4x – 4y = 6
m and n are both integers. Select all the statements that are true if m and n are also equal to each other. m - n = n - m OR +m (- n) = m - n
OR 0 = m - n OR m + n = 0
Answer:
The true statements are;
(i) m - n = n - m
(ii) +m (-n) = m - n
(iii) 0 = m - n
Step-by-step explanation:
We are given that m and n are both integers and we have to select all the statements that are true if m and n are also equal to each other.
(i) The given situation is: m - n = n - m
LHS = m - n
= m - m {because m and n are equal}
= 0
RHS = n - m
= n - n {because m and n are equal}
= 0
Hence, the given statement is true because LHS = RHS = 0.
(ii) The given situation is: +m (- n) = m - n
LHS = +m (- n)
= m - n
= m - m {because m and n are equal}
= 0
RHS = m - n
= n - n {because m and n are equal}
= 0
Hence, the given statement is true because LHS = RHS = 0.
(iii) The given situation is: 0 = m - n
LHS = 0
RHS = m - n
= m - m {because m and n are equal}
= 0
Hence, the given statement is true because LHS = RHS = 0.
(iv) The given situation is: m + n = 0
RHS = 0
LHS = m + n
= m + m {because m and n are equal}
= 2m
Hence, the given statement is not true because LHS [tex]\neq[/tex] RHS.
#1) m - n = n - m
#2) +m (-n) = m - n
#3) 0 = m - n
hope this HELPS!!!!!!!
Which statements are always true regarding the
diagram? Check all that apply.
3
OmZ3+ m 24 = 180°
A
co
On
m2 + m 24+ m26 = 180°
m2 + m 24 = m 25
2
7
m21+ m2 = 90°
m24+ m26 = m22
m22 + m 26 = m25
Answer:
m<3 + m<4:= 180°
m<2 + m<4 + m<6 = 180°
m<2 + m<4 = m<5
Step-by-step explanation:
<3 and <4 are linear pairs. They are angles on a straight line. Angles in a straight line sum up to give 180°. Therefore, the statement "m<3 + m<4:= 180°" is TRUE.
<2, <4, <6 are interior angles of a triangle. The sum of the angles in a ∆ = 180°. Therefore, the statement, "m<2 + m<4 + m<6 = 180°" is TRUE.
<2 and <4 are opposite interior angles of the ∆, while <5 is an exterior angle to the ∆. Based on the external angle theorem of a ∆, the statement, "m<2 + m<4 = m<5" is TRUE.
<1 and <2 are a linear pair, and are angles on a straight line. Their sum cannot give us 90°.
m<4 + m<6 ≠ m<2. Rather, 180 - (m<4 + m<6) = m<2 (sum of angles in a ∆)
m<2 + m<6 ≠ m<5. Rather, m<2 + m<4 = m<5
The correct equations are:
m∠5 + m∠6 = 180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
m∠2 + m∠5 = m∠4
TriangleTriangle is a polygon with three angles and three sides. The sum of angles in a triangle is 180 degree.
From the diagram:
m∠5 + m∠6 = 180° (angle in a straight line)
But:
m∠2 + m∠3 + m∠5 = 180
m∠2 + m∠3 + m∠5 = m∠5 + m∠6
m∠2 + m∠3 = m∠6
Also:
m∠2 + m∠3 + m∠5 = 180° (sum of angles in a triangle)
But:
m∠3 + m∠4 = 180° (angle in a straight line)
m∠2 + m∠3 + m∠5 = m∠3 + m∠4
m∠2 + m∠5 = m∠4
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If one cup of soy milk contains 4g total fat then how many grams of total fat are in 2 3/4 cups of soy milk
Answer:
11
Step-by-step explanation:
Just multiply 4 times 2 3/4 and youll get 11
If one cup of soy milk contains 4g total fat then [tex]2\frac{3}{4}[/tex] cups of soy milk contains 11g of total fat.
Cross multiplication: 1 cup contains 4grams of total fat then[tex]2\frac{3}{4}[/tex] cups contains x grams of total fat.
1(x) = 4([tex]2\frac{3}{4}[/tex])⇒ x = 4([tex]\frac{11}{4}[/tex])
⇒ x = 11 grams
Hence 11 grams of total fat is there in [tex]2\frac{3}{4}[/tex] cups of soy milk.
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What is the ratio of 2 feet to 4 yards?
Answer:
1:6
Step-by-step explanation:
1 yard = 3 feet. 4 yards = 12 feet.
Ratio of 2 feet:12 feet = 1:6 Ans D
The ratio of 2 feet to 4 yards is 1 : 6
How to determine the ratio?The ratio is given as:
Ratio = 2 feet : 4 yards
Convert yard to feet
Ratio = 2 feet : 4 * 3 feet
Evaluate
Ratio = 2 feet : 12 feet
Divide the ratio
Ratio = 1 : 6
Hence, the ratio of 2 feet to 4 yards is 1 : 6
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after running 3/5 of a race the runner only has 4 miles left how long was the race
Answer:
10 miles
Step-by-step explanation:
3a/5 + 4 = a
a = race long
4 = a - 3a/5
4 = 5a/5 - 3a/5
4 = 2a/5
4*5/2 = a
a = 10
The length of the entire race is 10 miles.
Let length of race = r
Miles left after running 3/5 of race :
r - 3r/5 = 4We can solve the expression thus :
r - 3r/5 = 4
r - 3r = 4 * -5
r - 3r = -20
-2r = -20
divide both sides by -2 to isolate r
r = 10
Hence, the length of the entire race is 10 miles.
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If the side of an equatorial triangle is L then express the perimeter of the triangle in terms of L.
Answer:
3L
Step-by-step explanation:
Perimeter is the sum of side lengths
Since the triangle is equilateral, it has all sides equal and each has length of L
So perimeter is:
P= L+L+L = 3LWhat is the solution to the equation to 0.5x+3.5=6
Answer:
x = 5
Step-by-step explanation:
0.5x + 3.5 = 6
0.5x = 6 - 3.5
0.5x = 2.5
x = 2.5 / 0.5
x = 5
What is the solution to the equation by -2(y + 1) = 3(y – 2) + 6?
Answer: y= -2.5
Step-by-step explanation:
Distribute the -2 and 3 into the parentheses. -6 + 6 cancels out so you are left with 3y on the right side. Add 2y to the right side leaving you with -2=5y. Divide both sides by -2
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ y = - 0.4}}}}[/tex]Step-by-step explanation:
[tex] \sf{ - 2(y + 1) = 3(y - 2) + 6}[/tex]
Distribute -2 through the parentheses
Similarly, Distribute 3 through the parentheses
⇒[tex] \sf{ - 2y - 2 = 3y - 6 + 6}[/tex]
Since two opposites add up to zero , remove them
⇒[tex] \sf{ - 2y - 2 = 3y}[/tex]
Move 3y to Left hand side and change it's sign
Similarly, move -1 to right hand side and change it's sign
⇒[tex] \sf{ - 2y - 3y = 2}[/tex]
Collect like term
⇒[tex] \sf{ - 5y = 2}[/tex]
Divide both sides of the equation by -5
⇒[tex] \sf{ \frac{ - 5y}{ -5 } = \frac{2}{ - 5} }[/tex]
Calculate
⇒[tex] \sf{ - 0.4}[/tex]
Hope I helped!
Best regards!
Let f(x)=5x-13 what ordered pair in f corresponds to the equation f(x)=7 ? Recall y=f(x).
Answer:
(4,7)
Step-by-step explanation:
f(x)=5x-13
Let this equal to 7
7=5x-13
Add 13 to each side
7+13 = 5x-13+13
20 = 5x
Divide by 5
20/5 = 5x/5
4 =x
The ordered pair is
(4,7)
cual de estos tipos de mentalidad puede contribuir a superar situaciones de no inclusión porque
La mentalidad de crecimiento, ya que a diferencia de la mentalidad fija, nos permite ver en otras personas la mentalidad de mejorar y perseverar.
what is equal to -3/2
Answer:
-1.5
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
-1.5
-1 1/2
-6/4
Which type of transformation is shown?
Answer:
Translation
Step-by-step explanation:
The object is only moved, which is what happens when a translation occurs
Find (f-g)(x) for the following functions. f(x) = x2-2x-24 g(x) = x+4
Answer:
(f-g)(x) = x² - 3x - 24Step-by-step explanation:
f(x) = x² - 2x - 24
g(x) = x + 4
To find (f-g)(x) subtract g(x) from f(x)
That's
(f-g)(x) = x² - 2x - 24 - ( x + 4)
(f-g)(x) = x² - 2x - 24 - x - 4
Group like terms
We have
(f-g)(x) = x² - 2x - x - 24 - 4
Simplify
We have the final answer as
(f-g)(x) = x² - 3x - 28Hope this helps you
Consider a group of students playing a game of tug-of-war, in which two teams pull on a rope to find which team is strongest. Each of the statements that follows describes what happens during the tug-of-war. Evaluate each statement and select the statements that are accurate.
The temperature on Monday was 5 Degrees. The temperature on Thursday was - 8 degrees. Was the overall change in the temperature positive, negative, or 0? Why ? *
Answer:
Negative change
Step-by-step explanation:
Given
[tex]Monday\ Temperature = 5\ deg[/tex]
[tex]Thursday\ Temperature = -8\ deg[/tex]
First, we need to calculate the overall change in temperature
This is calculated by subtracting the initial temperature from the final temperature
[tex]Overall\ Change = Thursday\ Temperature - Monday\ Temperature[/tex]
[tex]Overall\ Change = -8\ deg - 5\ deg[/tex]
[tex]Overall\ Change = -13\ deg[/tex]
The overall change shows a negative change in the temperature.
This is as a result of a drop in temperature from Monday to Thursday
Multiply
11 x 34.12
I’m so confused?
Answer:
[tex]34.12 * 11 = 375.32[/tex]
Step-by-step explanation:
Given
11 * 34.12
Required
Multiply
To start with, we have to ignore the decimal points;
So, we have
3412
* 11
---------------
3 4 1 2
3 4 1 2
------------------------
3 7 5 3 2
The next step is as follows;
34.12 is in 2 decimal places
11 is has no decimal (0 decimal place)
Add the decimal places together
[tex]Decimal\ Place = 2 + 0 = 2[/tex]
This implies that the result will be in 2 decimal placed;
Hence:
[tex]34.12 * 11 = 375.32[/tex]
the sides of an angle are
Answer:
the vetrex
Step-by-step explanation:
Choose the best description for the real number 2.33663336663333666689...
Irrational, because it is a terminating decimal
O Rational, because it is a repeating decimal
Irrational, because it is non-terminating decimal
O Rational, because it is a terminating decimal
Answer:
Irrational, non-terminating
Step-by-step explanation:
This number is irrational because it is a non-terminating decimal. Notice how it continues with the '...'. <3
The area of rectangular is 46 square inches.if the length is 4 times the width . Then find the dimensions of the rectangular
Answer:
the rectangle's width is approximately 3.39 inches
and the length is approximately 13.56 inches.
Step-by-step explanation:
Recall that the area of a rectangle is Length times Width
If we name the length "L" and the width "W", we have:
L * W = 46
Also: "the length is 4 times the width" can be written in math form as:
L = 4 * W
and now we can replace the length L by 4 * W in the formula for the area:
[tex]L\,*\,W = 46\\(4\,W) \,W = 46\\4\,W^2=46\\W^2=\frac{46}{4} =11.5\\W=\sqrt{11.5} \\W\approx 3.39[/tex]
and now we find the value of L:
[tex]L=4\.(3.39) = 13.56[/tex]
Therefore, the rectangle's width is approximately 3.39 inches
and the length is approximately 13.56 inches.
Part A.) in another baseball game division, one team had a winning percentage of 0.444... what fractions of the game did the team win? *with full steps please* Part B.)How do you know what power of 10 to multiply by in the second step at the right?
Answer:
4/9
Step-by-step explanation:
0.4444... can be written as a geometric series with first term 0.4 and common ratio 0.1. Each new digit is 0.1 times the previous digit.
0.4
Then 0.4444... = ------------ = 0.4/0.9 = 4/9
1 - 0.1
You may check this result by dividing 4 by 9 on a calculator.
2 What operation should be done first to solve 6x + 5 = 35?
o
Subtract 5
O Add 5
Multiply by 6
O Divide by 6
Answer:
subtract 5
Step-by-step explanation:
subtract 5 from each side of the equal sign..
Answer:
the answer is subtract 5
Step-by-step explanation: