1.In a circle of radius 6cm a chord is drawn 3cm from the center
a) Calculate the angle subtended by the chord at the centre of the circle b)Find the length of the minor and the perimeter of the minor segment formed by a chord and minor
Answers
Answer:
a) The angle subtended by the chord at the centre of the circle is 120°.
b) The length of the minor arc is 12.57 cm (2 d.p.).
The perimeter of the minor segment formed by a chord and minor arc is 22.96 cm (2 d.p.).
Step-by-step explanation:
The chord of a circle is the base of an isosceles triangle, where its congruent sides are the radii of the circle.
The height of the isosceles triangle is the perpendicular bisector of the chord from the central angle.
The angle subtended by the chord at the centre of the circle is twice the angle formed by the radius and the perpendicular bisector (marked θ on the attached diagram).
To find the measure of angle θ, use the cosine trigonometric ratio.
[tex]\begin{aligned}\implies \cos \theta&=\sf \dfrac{adjacent\;side}{hypotenuse}\\\\\cos \theta &=\sf \dfrac{3}{6}\\\\\cos \theta &=\sf \dfrac{1}{2}\\\\\theta &=\arccos\left(\sf \dfrac{1}{2}\right)\\\\\theta &=60^{\circ}\end{aligned}[/tex]
As the angle subtended by the chord at the centre of the circle is twice angle θ:
[tex]\implies 2\theta=2 \cdot 60^{\circ}=120^{\circ}[/tex]
Therefore, the angle subtended by the chord at the centre of the circle is 120°.
A minor arc is less than 180° and is equal to the central angle.
Therefore, as the angle subtended by the chord at the centre of the circle is 120°, the minor arc is the part of the circumference between the two endpoints of the chord (marked in red on the attached diagram).
To find the length of the minor arc, use the arc length formula.
[tex]\boxed{\begin{minipage}{6.4 cm}\underline{Arc length}\\\\Arc length $= \dfrac{\pi r\theta}{180^{\circ}}$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in degrees.\\\end{minipage}}[/tex]
Therefore:
[tex]\begin{aligned}\implies \textsf{Arc length}&= \dfrac{\pi \cdot 6 \cdot 120^{\circ}}{180^{\circ}}\\\\&= 4 \pi\\\\&= 12.57\; \sf cm\;(2\;d.p.)\end{aligned}[/tex]
Therefore, the length of the minor arc is 12.57 cm (2 d.p.).
To calculate the perimeter of the minor segment formed by the chord and minor arc, we need to calculate the length of the chord.
[tex]\boxed{\begin{minipage}{10.2 cm}\underline{Chord length}\\\\Chord length $=2r\sin\left(\dfrac{\theta}{2}\right)$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle (in degrees) subtended at the center by the chord.\\\end{minipage}}[/tex]
Therefore:
[tex]\begin{aligned}\implies \textsf{Chord length}&= 2 \cdot 6 \cdot \sin \left(\dfrac{120^{\circ}}{2}\right)\\\\&= 12 \cdot \sin \left(60^{\circ}\right)\\\\&= 12 \cdot \dfrac{\sqrt{3}}{2}\\\\&= 6\sqrt{3}\; \sf cm\end{aligned}[/tex]
Therefore, the perimeter of the minor segment formed by the chord and minor arc is:
[tex]\begin{aligned}\implies \textsf{Perimeter}&=\textsf{Minor arc length}+\textsf{Chord length}\\&=4 \pi + 6 \sqrt{3}\\&=22.96\; \sf cm\;(2\;d.p.)\end{aligned}[/tex]
Related Questions
AABC has vertices A(-4,6), B(-6, -4), and C(2,-2).
The following transformation defines AA'B'C':
AA'B'C' =D 5/2 (AABC)
Answers
The required vertices of [tex]$\Delta A'B'C'$[/tex] are A'(-10, 15), B'(-15, -10), and C'(5, -5).
How to find the dilated coordinates of triangle?The transformation that defines AA'B'C' can be described as a dilation with center at the origin and scale factor of 5/2.
To find the coordinates of A', B', and C', we can use the following formulas:
[tex]$\begin{align*}A'(x,y) &= \left(\frac{5}{2}\right)x, \left(\frac{5}{2}\right)y \B'(x,y) &= \left(\frac{5}{2}\right)x, \left(\frac{5}{2}\right)y \C'(x,y) &= \left(\frac{5}{2}\right)x, \left(\frac{5}{2}\right)y \\end{align*}$[/tex]
Using the coordinates of A(-4,6), B(-6, -4), and C(2,-2), we can calculate the coordinates of A', B', and C' as follows:
For point A(-4,6), we have:
[tex]$A'(x,y) = \left(\frac{5}{2}\right) x, \left(\frac{5}{2}\right) y = \left(\frac{5}{2}\right) (-4), \left(\frac{5}{2}\right) (6) = (-10, 15)$[/tex]
Therefore, the coordinates of A' are (-10, 15).
For point B(-6,4), we have:
[tex]$B'(x,y) = \left(\frac{5}{2}\right) x, \left(\frac{5}{2}\right) y = \left(\frac{5}{2}\right) (-6), \left(\frac{5}{2}\right) (4) = (-15, 10)$[/tex]
Therefore, the coordinates of B' are (-15, 10).
For point C(2,2), we have:
[tex]$C'(x,y) = \left(\frac{5}{2}\right) x, \left(\frac{5}{2}\right) y = \left(\frac{5}{2}\right) (2), \left(\frac{5}{2}\right) (-2) = (5, -5)$[/tex]
the coordinates of C' are (5, -5).
Therefore, the vertices of [tex]$\Delta A'B'C'$[/tex] are A'(-10, 15), B'(-15, -10), and C'(5, -5).
To know more about Scale factor visit:
brainly.com/question/30215119
#SPJ1
Could anyone help me with this question?
Answers
Answer:
a) 1024 - 14280x + 720x² - 240x³
b) 117616
Step-by-step explanation:
#CarryOnLearning
Four different exponential functions are represented below.
Drag the representation of each function into order from greatest y intercept to least y-intercept.
Answers
Answering the question, we may state that According to the graph, from function largest y-intercept to smallest y-intercept, we have:
[tex]f(x) = 5 f(x) = 2 f(x) + 1 f(x) = 1/2 f(x) = 1/5 (x)[/tex]
what is function?Mathematicians investigate the relationships between numbers, equations, and related structures, as well as the locations of forms and possible placements for these items. A set of inputs and their corresponding outputs are referred to as a "function" in this context. If each input results in a single, unique output, the relationship between the inputs and outputs is known as a function. Each function has its own domain, codomain, or scope. A common way to denote functions is with the letter f. (x). is an x for entry. One-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.
According to the graph, from largest y-intercept to smallest y-intercept, we have:
[tex]f(x) = 5 f(x) = 2 f(x) + 1 f(x) = 1/2 f(x) = 1/5 (x)[/tex]
As a result, the sequence is:
[tex]f(x) = 5^(x) (highest y-intercept) (highest y-intercept)[/tex]
[tex]f(x) = 2^(x) + 1 f(x) = 1/2^ (x)[/tex]
[tex]f(x) = 1/5^(x) (lowest y-intercept) (lowest y-intercept)[/tex]
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
HELPPP
Martina will spend more than $36 on gifts. So far, she has spent $22. What are the possible additional amounts she will spend?
Use c for the additional amount (in dollars) Martina will spend.
Write your answer as an inequality solved for c.
Answers
If Martina has already spent $22 and will spend more than $36 in total, then we can set up an inequality to represent the possible additional amounts she will spend:
$22 + c > $36
To solve for c, we can isolate it on one side of the inequality by subtracting $22 from both sides:
c > $36 - $22
c > $14
Therefore, the possible additional amounts Martina will spend (represented by c) must be greater than $14. The inequality solved for c is c > $14.
33 pt= __qt __pt (convert units)
Answers
Converting 33 pints into quarts is 16.5 Quarts.
How to Convert 33 pints into quartsThe pint (symbol: pt) is a unit of volume or capacity in both the imperial and United States customary measurement systems.
The quart (abbreviation qt.) is an English unit of volume equal to a quarter gallon. It is divided into two pints or four cups.
To calculate 33 Pints to the corresponding value in Quarts,
We multiply the quantity in Pints by 0.5 (conversion factor).
In this case we should multiply 33 Pints by 0.5 to get the equivalent result in Quarts:
33 Pints x 0.5 = 16.5 Quarts
Hence, 33 Pints is equivalent to 16.5 Quarts.
Learn more about conversion at:https://brainly.com/question/97386
#SPJ1
Draw the image of the given rotation of the preimage
Answers
The answer of the given question based on the image of the given rotation of the preimage is given below,
What is Rotation?Rotation is a transformation in which an object or figure is turned around a fixed point or center by a certain angle or degree. The fixed point is known as the center of rotation, and the angle of rotation is measured in degrees or radians.
Based on the given rotation specification, "r(270,0)(x,y)", the preimage should be rotated 270 degrees counterclockwise around the origin.
To draw the image of the rotated preimage, you can use the following steps:
Plot the coordinates of the preimage points on a coordinate plane.
Draw line from of each point to origin.
Measure an angle of 270 degrees counterclockwise from each line, using a protractor or angle tool.
Draw a new line from each point to the endpoint of the measured angle. These lines represent the rotated points.
Label the new coordinates of the rotated points.
To know more about Angle visit:
https://brainly.com/question/15277238
#SPJ1
Factoring out a monomial from a polynomial: Multiva Factor the following expression. 11u^(9)v^(8)-22u^(2)v^(2)y^(6)
Answers
The factored expression is 11u^(2)v^(2)(u^(7)v^(6) - 2y^(6)).
Factoring out a monomial from a polynomial involves finding the greatest common factor (GCF) of the terms in the polynomial and then dividing each term by the GCF to get the remaining polynomial. In this case, the GCF of the two terms in the expression is 11u^(2)v^(2). So, we can factor out this monomial from the polynomial as follows:
11u^(9)v^(8) - 22u^(2)v^(2)y^(6) = 11u^(2)v^(2)(u^(7)v^(6) - 2y^(6))
Therefore, the factored expression is 11u^(2)v^(2)(u^(7)v^(6) - 2y^(6)).
Learn more about Factoring
brainly.com/question/14209188
#SPJ11
I NEED HELP ASAP PLS
*problem in image*
Answers
The tallest tree that can be supported with the wire is 20 feet .
How to find the side of a right triangle?The tallest tree that can be supported with a 25 foot wire staked 15 feet away from the tree can be calculated as follows:
Therefore, the tallest tree can be found using Pythagoras's theorem,
Hence,
c² = a² + b²
where
a and b are the legsc is the hypotenuse25² - 15² = b²
b² = 625 - 225
b = √400
b = 20 feet
Therefore, the tallest tree is 20 feet.
From the diagram, the tallest tree that can be supported by a 25 feet wire is 20 feet. we had to use Pythagoras's theorem to find the tallest tree that 25 feet wire can hold.
learn more on right triangle here: https://brainly.com/question/6322314
#SPJ1
If a+b=4, and a^2+b^2=12, then what is a^4+b^4
? (A) 112 (B) 136 (C) 144 (D) 256 (E) None of these
Answers
If a+b=4, and a²+b²=12, then what is a⁴+b⁴ is (B) 136.
To find the value of a⁴ + b⁴, we can use the identity (a² + b²)² = a⁴ + 2a²b² + b⁴. We are given that a² + b² = 12, so we can plug that value into the identity to get:
(12)² = a⁴ + 2a²b² + b⁴
144 = a⁴ + 2a²b² + b⁴
We can also use the identity (a + b)² = a² + 2ab + b² to find the value of 2a²b². We are given that a + b = 4, so we can plug that value into the identity to get:
(4)² = a² + 2ab + b²
16 = a² + 2ab + b²
Subtracting a^2 + b^2 from both sides gives us:
16 - (a² + b²) = 2ab
16 - 12 = 2ab
4 = 2ab
2 = ab
So we can plug the value of 2ab back into the first identity to get:
144 = a4⁴ + 2(2)² + b⁴
144 = a^⁴ + 8 + b⁴
Subtracting 8 from both sides gives us:
136 = a⁴ + b⁴
So the value of a⁴ + b⁴ is 136, which is option (B).
Learn more about equation at https://brainly.com/question/29256998
#SPJ11
Show that ∑F(i) = F(n+2) - 1. Consider the following disk transportation problem: You are given three pegs named A, B and C. On peg A sit n disks in strict decreasing order of size, with the smallest disk on the top and the largest disk on the bottom. You are required to transport the disks from peg A to peg C, while respecting the following rules: (a) In each move, exactly one disk can be moved. (b) No disk may ever be placed on top of a smaller disk. (c) Each move consists of taking the uppermost disk from one of the pegs and placing it on top of another peg i.e., a disk can only be moved if it is the uppermost disk on a peg. Write down a recurrence relation for computing the total number of moves required to transfer the n disks from peg A to peg C. Hint: Do you see why peg B is required?
Answers
Therefore, ∑F(i) = F(n+2) - 1 is true for the disk transportation problem.
The disk transportation problem described in the question is a classic example of the Tower of Hanoi puzzle. The goal of the puzzle is to move all the disks from peg A to peg C while following the rules mentioned in the question. The recurrence relation for computing the total number of moves required to transfer the n disks from peg A to peg C can be written as follows:
F(n) = 2F(n-1) + 1
This recurrence relation can be derived by considering the fact that to move n disks from peg A to peg C, we first need to move the top n-1 disks from peg A to peg B using peg C as an intermediate peg. This requires F(n-1) moves. Next, we need to move the largest disk from peg A to peg C, which requires 1 move. Finally, we need to move the n-1 disks from peg B to peg C using peg A as an intermediate peg, which again requires F(n-1) moves. Therefore, the total number of moves required to transfer the n disks from peg A to peg C is F(n) = 2F(n-1) + 1.
Now, to show that ∑F(i) = F(n+2) - 1, we can use the recurrence relation F(n) = 2F(n-1) + 1 and the fact that F(1) = 1. By substituting n = 1, 2, 3, ..., n-1, n in the recurrence relation and adding all the equations, we get:
∑F(i) = 2∑F(i-1) + n
Using the fact that F(1) = 1 and rearranging the terms, we get:
∑F(i) = F(n+1) - 1
Therefore, ∑F(i) = F(n+2) - 1 is true for the disk transportation problem.
Learn more about disk transportation
brainly.com/question/13627620
#SPJ11
Select the correct answer from each drop-down menu
Answers
Answer:7.9
Step-by-step explanation:
square root of 63 is 7.9
Answer:
Step-by-step explanation:
[tex]\sqrt{63} =[/tex] [tex]\sqrt{7}[/tex]×[tex]\sqrt{9}[/tex]
= [tex]\sqrt{7}[/tex] × 3
= 3[tex]\sqrt{7}[/tex]
Quadrilateral HIJK is an isosceles trapezoid and mZJ = 5p + 1°. What is the value of p?
J
P =
K
Save answer
106⁰
I
H
Answers
The value of P for the given isosceles trapezoid is 21.
What is an isosceles trapezoid ?An isosceles trapezoid is a four-sided figure with two parallel sides (called bases) of different lengths, and two non-parallel sides of equal length.
The non-parallel sides are also called legs. The two parallel sides are connected by two diagonal lines that intersect each other at a midpoint, forming two congruent triangles.
The following properties are characteristic of an isosceles trapezoid:
The opposite angles are supplementary (add up to 180 degrees).The diagonals are congruent to each other.The two non-parallel sides are congruent to each other.The angle between a non-parallel side and a base is congruent to the corresponding angle on the other side of the trapezoid.For this case, if m∠I = 106⁰, then m∠J = 106⁰
So the value of P is calculated as follows;
m∠J = 5p + 1 = 106
5p + 1 = 106
5p = 106 - 1
5p = 105
p = 105 / 5
p = 21
Learn more about isosceles trapezoid here: https://brainly.com/question/4758162
#SPJ1
Prove that AD CONGRUENT TO BC
Answers
ABDC is a rectangle, we can conclude that AD is congruent to BC.
What is Triangle ?
Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
In the given diagram, we have a parallelogram ABCD. To prove that AD is congruent to BC, we need to show that ABDC is a rectangle.
Here's the proof:
Since ABCD is a parallelogram, we know that:
AB is parallel to CD
BC is parallel to AD
Also, we have:
∠A + ∠B = 180° (opposite angles of a parallelogram)
∠D + ∠C = 180° (opposite angles of a parallelogram)
From the diagram, we can see that:
∠A + ∠D = 180° (adjacent angles of a parallelogram)
∠B + ∠C = 180° (adjacent angles of a parallelogram)
Adding the last two equations, we get:
∠A + ∠D + ∠B + ∠C = 360°
But we know that the sum of the angles in a rectangle is 360°. Therefore, if we can prove that ABDC is a rectangle, we can conclude that AD is congruent to BC.
To show that ABDC is a rectangle, we need to prove that:
AB is perpendicular to BC
BC is perpendicular to CD
CD is perpendicular to AD
AD is perpendicular to AB
Since AB is parallel to CD and BC is parallel to AD, we can conclude that ∠ABC and ∠CDA are alternate interior angles and are therefore congruent. Similarly, ∠ABD and ∠DCB are alternate interior angles and are congruent.
Now, we can prove that ABDC is a rectangle by showing that all its angles are right angles. We can do this by proving that:
∠ABC + ∠ABD = 90° (interior angles of a triangle)
∠CDA + ∠DCB = 90° (interior angles of a triangle)
Since ∠ABC and ∠CDA are congruent, and ∠ABD and ∠DCB are congruent, we have:
∠ABC + ∠ABD = ∠CDA + ∠DCB
Substituting the values of these angles, we get:
2∠ABC = 2∠CDA
∠ABC = ∠CDA
Therefore, ∠ABC and ∠CDA are both 45 degrees. Similarly, we can show that ∠ABD and ∠DCB are both 45 degrees. Hence, all angles of ABDC are 90 degrees, and we have proven that ABDC is a rectangle.
Since , ABDC is a rectangle, we can conclude that AD is congruent to BC.
To learn more about Triangle from given link.
brainly.com/question/2773823
#SPJ1
Complete each operation with functions. Shown bellow 1. g(a) = 2 - 1 f(a) = -2-4 Find (g-f)(1) 2. h(t) = 2t +1 g(t) = 2t + 2 Find (h-g)(t) 3. g(a) = -30 - 3 f(a)= a +5 Find (g -f(a) 4. g(x) = 2x-5 h(x) = 4x +5 Find g(3) - h(3) 5. h(x) = 3x +3 g(x) = -4x + 1 Find (h+g)(10) 6. f(x) = 4x - 3 g(x) = x + 2x Find (f-g)(4)
Answers
The following operations with functions:
1. (g-f)(1) = 7
2. (h-g)(t) = -1
3. (g -f(a) = -38 - a
4. g(3) - h(3) = -16
5. (h+g)(10) = -6
6. (f-g)(4) = 1
Complete each operation with functions.
1. (g-f)(1) = g(1) - f(1) = (2-1) - (-2-4) = 1 + 6 = 7
2. (h-g)(t) = h(t) - g(t) = (2t+1) - (2t+2) = -1
3. (g-f)(a) = g(a) - f(a) = (-30-3) - (a+5) = -33 - a - 5 = -38 - a
4. g(3) - h(3) = (2(3)-5) - (4(3)+5) = (6-5) - (12+5) = 1 - 17 = -16
5. (h+g)(10) = h(10) + g(10) = (3(10)+3) + (-4(10)+1) = (30+3) + (-40+1) = 33 - 39 = -6
6. (f-g)(4) = f(4) - g(4) = (4(4)-3) - (4+2(4)) = (16-3) - (4+8) = 13 - 12 = 1
For more such questions on Operation of functions.
https://brainly.com/question/30190962#
#SPJ11
y-3=1(x-2)
write an equation of a line
that is perpendicular to this line. Show your work.
Answers
The equation of a perpendicular line is y = -x + 2
How to determine the equation of a perpendicular lineFrom the question, we have the following parameters that can be used in our computation:
y - 3 = 1(x - 2)
We can use the point-slope form of a linear equation to write the equation of the perpendicular line:
y - y1 = m(x - x1)
By comparison, we have
m1 = 1
For perpendicular lines. we have
m = -1/m1
So, we have
m = -1
An example of an equation wit a slope of -1 is
y = -x + 2
Hence, the equaton is y = -x + 2
Read more about linear relation a
https://brainly.com/question/30318449
#SPJ1
Kevin and Randy Muise have a jar containing 54 coins, all of
which are either quarters or nickels. The total value of the coins
in the jar is $11.10. How many of each type of coin do they have
?
Answers
The number of each type of coin they have is 42 quarters and 12 nickels.
To find out how many of each type of coin Kevin and Randy Muise have, we can use a system of equations. Let's call the number of quarters "q" and the number of nickels "n". We can create two equations based on the information given:
q + n = 54 (the total number of coins)
0.25q + 0.05n = 11.10 (the total value of the coins)
Now we can use the substitution method to solve for one of the variables. Let's solve for "n" in the first equation:
n = 54 - q
Now we can substitute this value of "n" into the second equation:
0.25q + 0.05(54 - q) = 11.10
Simplifying and solving for "q":
0.25q + 2.7 - 0.05q = 11.10
0.20q = 8.40
q = 42
Now we can plug this value of "q" back into the first equation to find "n":
n = 54 - 42
n = 12
So Kevin and Randy Muise have 42 quarters and 12 nickels in their jar.
Learn more about system of equations here: https://brainly.com/question/25976025.
#SPJ11
Find the value of x. Then find the measure of each labeled angle .
Answers
Answer:M1=50 M2=130
Step-by-step explanation:
M2=130 because corresponding angles and M1=50 because 180-130=50
The owner of a used car dealership is trying to determine if there is a relationship between the price of a used car and the number of miles it has been driven. The owner collects data for 25 cars of the same model with different mileage and determines each car’s price using a used car website. The analysis is given in the computer output.
Which of the following represents the value of the average residual for a car’s price?
0.024
2164.1
3860.7
24157.2
Answers
The value of the average residual for a car’s price include the following: C. 3860.7.
What is a coefficient of determination?In Mathematics, a coefficient of determination (r² or r-squared) can be defined as a number between zero (0) and one (1) that is typically used for measuring the extent (how well) to which a statistical model predicts an outcome.
What is a residual value?In Mathematics, a residual value is a difference between the measured (given or observed) value from a residual plot and the predicted value from a residual plot.
Based on the computer output (see attachment), we can logically deduce that the coefficient of determination (r²) and average residual for a car's price are as follows;
r² = 68% = 68/100 = 0.68.
Average residual for a car's price, S = 3860.7.
Read more on correlation here: https://brainly.com/question/25208719
#SPJ1
does the table represent a proportional relationship between x and y?
x y
4 3
8 7
12 11
16 15
20 19
Answers
Answer:
Yes
Step-by-step explanation:
They both are added by 4
Bonsoir, j’ai besoin d’aide pour l’exo 135 je suis bloqué, merci d’avance
Answers
Answer:
Je suis désolé, mais je ne sais pas à quoi fait référence l'exo 135. Pouvez-vous me donner plus de détails sur ce que vous cherchez à comprendre ou résoudre ? Je suis heureux de vous aider si je peux comprendre la question.
evaluate the expression using scientific notation. Express the result in scientific notation.
5.4 X 10^-8/1.5 X 10^4
Answers
Answer:
We can simplify this expression as follows:
5.4 x 10^-8 / 1.5 x 10^4 = (5.4/1.5) x (10^-8 / 10^4) = 3.6 x 10^-12
Therefore, the result in scientific notation is 3.6 x 10^-12.
The area of a rectangle is 228 square feet. If the length of the rectangle is 12 feet what is the width of the rectangle
Answers
Answer: 19
Step-by-step explanation: The formula for the area of a quadrilateral is length x width.
Here, we have the width missing. So our equation would be,
12x=228.
dividing both sides by 12 gives us x=228/12.
solving this, we get x=19.
So, your answer will be 19.
Answer:
The width of the rectangle is 19 feet
Step-by-step explanation:
The formula for the area of a rectangle is length times width which can be expressed as
[tex]A=lw[/tex]
We can rearrange the equation and solve for the width.
Divide both sides of the equation by [tex]l[/tex].
[tex]\frac{A}{l}=w[/tex]
Now we have an equation to evaluate the width.
Numerical Evaluation
Substituting our values into the equation yields
[tex]\frac{228}{12}=w[/tex]
[tex]w=19[/tex]
if your mom was given birth in year x and you were given birth in 2010 you and her have an age gap of 36 years what is her birth date
Answers
Answer:
2010-36=1974
She was born in 1974.
Answer:1974
Step-by-step explanation:
2010-36=1974
Answer #14 using the picture
Answers
Answer:
(10,14)
Step-by-step explanation:
if you look there's a pattern
A route between Guilford and Bath has a distance of 180 kilometres.
Dave drives from Guilford to Bath. He takes 3 hours.
Olivia drives the same route. Her average speed is 15 kilometres per hour faster than Dave's.
(a) How long does it take Olivia to drive from Guilford to Bath?
Give your
answer in hours and minutes
Answers
Olivia will take time of 4 hour to drive from Guilford to Bath.
Explain the relation of speed and distance?Speed is the rate at which a distance changes over time. The speed is equivalent to s = D/T if D is the object's distance in time T. The units are the same as for velocity.Let the speed of Dave be 'x' km/h
Then,
Olivia's speed = ( x + 15 )km/h
Time = 3 hours.
Distance = 180 kilometres
Using relations:
Speed = distance /time
x + 15 = 180/3
x + 15 = 60
x = 60 - 15
x = 45 km/hr.
Time taken by Olivia to drive from Guilford to Bath.
45 = 180/t
t = 180 / 45
t = 4 hours.
Thus, it take Olivia 4 hour to drive from Guilford to Bath.
Know more about relation of speed and distance
https://brainly.com/question/13771725
#SPJ9
what is
y = x
y = 2x -4
PLS I NEED HELP and i have sm more questions..
Answers
Answer:
(4, 4) in point form
x = 4, y = 4 in equation form
Explanation:
...
please help ill make brainlyest please please and fast
Answers
1. ∆ABC and ACD are not necessarily similar
2. ∆ABC and ADE are similar by SAS similarity
3. . ∆ABC and AGF are similar by SAS similarity
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
1. ABC and ACD are not similar because there is only one corresponding Similar sides
2. ABC and ADE are similar because there are two corresponding sides and an equal angle A'
3. ABC and ACD are similar because is equal angle A and two corresponding sides.
learn more about similar triangles from
https://brainly.com/question/14285697
#SPJ1
what is the rate of traveling 372 miles in 6 hours
Answers
Answer:62 miles/hour
Step-by-step explanation:372 miles / 6 hours = 62 miles/hour 62 * 15 = 930 A driver travels 372 miles in 6 hours. At that rate, the driver will travel 930 miles in 15 hours
Answer: 62 mph
Step-by-step explanation:
372/6=62
:)
Pls help a brother out.
Answers
Where is your question so we may help
Answer:
Step-by-step explanation:
mark me brainliest so i can solve
Use decomposition to find the area of the figure. A drawing of a right-angled trapezoid with length of two parallel sides measuring 10 yards and 13 yards. The height of the trapezoid is 8 yards. The area is
square yards. Skip to navigation
Answers
In the given problem, we need to find the area of the trapezoid in which the height is 8 yards. The area of the given trapezoid is 92 square yards.
If the length of a trapezoid's parallel sides and the distance (height) between them are known, the area of the shape may be determined.
A = (a+b)h/2 is the formula for a trapezoid's surface area.
where "a" and "b" are the lengths of the base of the trapezoid and "h" represents the height of the figure.
We have been given the values,
The length of the bases is 10 and 13 yards and,
the height of the trapezoid is 8 yards.
So, according to the formula for determining the area,
Area of a trapezoid,
"A" = {(10 + 13)8} / 2
⇒ A = {184}/2
⇒ A = 92 square yards.
To learn more about trapezoids refer to,
https://brainly.com/question/21025771
#SPJ4