Answer:
B. Triangles are similar by SAS
Step-by-step explanation:
3.8/2=1.9
4.6/2=2.3
therefore they are similar
Answer:b
Step-by-step explanation:
If the area of a rectangle equals 30 cm² and the perimeter is equal to 26 cm. Find the length and width of the rectangle.
Answer:
Length = 10 & width = 3
Step-by-step explanation:
Perimeter = Length + Length + Width + Width
26 = 2Length + 2 Width
26 = 2 ( Length + Width )
13 = Length + width
13 - Length = Width EQUATION 1
Area = Length X Width
30 = Length X ( 13 - Length )
30 = 13Length - Length ^2
Length ^2 - 13Length + 30 = 0
( Length - 3 )( Length - 10 )
Length = 3 or Length = 10
Therefore Length = 10
From equation 1
13 - Length = Width
13 - 10 = width
width = 3
0.3(4 − x) = x − 1.4?
Answer:
x is equal to 2
Step-by-step explanation:
simplify the equation
distribute the 0.3
0.3*4-0.3x=x-1.4
1.2-0.3x=x-1.4
get x by itself on one side
1.2+1.4=x+0.3x
simplify
2.6=1.3x
2=x
12/5 divided by 21/10
1.2.PS-12
Determine whether the given number belongs to each set.
Integers
72
72
Whole
Numbers
?
Vyriole
Numbers
Yes
?
integers
Yes
Rational
Numbers
?
Katorial
Numbers
No
Click to select your answer(s) and then click Check Answer.
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Answer: Yes it is rational number because it has a terminating decimal expansion
Step-by-step explanation:
Define Rational number:
rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.
Yes it is rational number because it has a terminating decimal expansion.
7/2=3.5
Define Integer:
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14.
all integers between -7 and 2 in increasing order are:
-6,-5,-4,-3,-2,-1,0 and 1.
since, it has to be in increasing order -6 will come first and 1 at the last.
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Round 82.265 to the nearest whole number. Do not include extra zeros in your answer.
Answer:
82
Step-by-step explanation:
The number can only round up if the number after is 5 or greater.
Remember that a whole number cannot have any decimal points.
1. Look at the tenths place to determine whether to round up or down
2. 2 is less than five so the whole number would stay the same.
So, 82. 265 rounded to the nearest whole number would be 82
Answer:
82
Step-by-step explanation:
Marion is observing the launch of a space shuttle from the command center. When she first sees the shuttle, the angle of elevation is 16 degrees. Later, the angle of elevation is 74 degrees. If the command center is 1 mile from the launch pad, how far did the shuttle travel while Marion was watching? Round to the nearest tenth of a mile
From the Trigonometric ratios, with first angle of elevation is 16 degrees, the shuttle travel a distance of 3.2 miles while Marion was watching it.
The trigonometric ratios relate the sides of a right triangle with its interior angle. These ratios are applicable only for right angled triangles. In this problem, Marion observes the launch of a space shuttle from the command center. Let us consider the provide scenario in geometry form, the above figure is right one for it. In this figure,
b = height of the shuttle when she first sees it and angle of elevation is 16°
a+b = height of the shuttle when the angle of elevation is 74°.
Distance is measured in miles. It form a right angled triangle, so \(tan({\theta}) = \frac{height}{base}\)
For the smaller triangle, plug the corresponding values, \(tan(16°) = \frac{b }{1}\)
=> b = tan(16°) = 0.287
For the larger triangle, \(tan(74°) = \frac{b +a}{1}\)
=> a + b = tan(74°)
=> a = 3.487 - 0.287 = 3.20
Hence, the shuttle traveled around 3.2 miles while Marion was watching.
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C=2d+1 divided by 3
Solve for specified variable ( d )
The value of d = (3c - 1)/2
What is a Variable?A Variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity.
Given that c = (2d + 1)/3
3c = 2d +1
3c - 1 = 2d
(3c - 1)/2 = d
d = (3c - 1)/2
Hence, value of d = (3c - 1)/2
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Which fraction of the whole circle is this sector?
The fraction of the whole circle denoting the sector is 23/72.
What is fraction?
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
The whole circle has an angle of = 360°.
The measure of the sector of the angle is = 115°.
The fractional value of the sector is -
Measure of Sector angle / Measure of whole circle angle
Substitute the value into the expression -
115/360
23/72
Therefore, the fraction is 23/72.
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Square A′B′C′D′ is the image of square ABCD under a dilation from center O1 by scale factor r . Square A′′B′′C′′D′′ is the image of square A′B′C′D′ under a dilation from center O2 by scale factor 14 . The side lengths of square A′′B′′C′′D′′ are 18 of the corresponding side lengths of square ABCD . What is the scale factor r ?
As per the square ABCD, the scale factor r is 7/9
Square:
According to geometry, square is a two-dimensional plane figure with four equal sides and all the four angles are equal to 90 degrees.
Given,
Square A′B′C′D′ is the image of square ABCD under a dilation from center O1 by scale factor r . Square A′′B′′C′′D′′ is the image of square A′B′C′D′ under a dilation from center O2 by scale factor 14 . The side lengths of square A′′B′′C′′D′′ are 18 of the corresponding side lengths of square ABCD.
Here we need to find the scale factor r.
AS per the given details we know that,
Side length of square = 18.
Scale factor of square A′′B′′C′′D′′ = 14
So,
Side lengths of square A''B''C''D'' = 18 × Side lengths of square ABCD
Noe, we have to apply the known values on these formula, then we get,
14 = 18 x r
r = 14/18
When we simplify it, then we get,
r = 7/9
Therefore, the value of the scale factor r is 7/9.
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NEEED HELP PLSSSS . Find x in triangles Geometry.
Answer:
10) x = 76,12) x = 8, Perimeter = 77 units=========================
Question 10The triangle is isosceles as marked.
The two opposite angles of equal sides are equal, one of them is x and the angle in between them is 28°.
Use angle sum of the triangle:
2x + 28 = 1802x = 152x = 76Question 12Same as previous question, we have an isosceles triangle. Equal sides are:
3x + 5 = 5x - 115x - 3x = 5 + 112x = 16x = 8Find the perimeter by substituting the value of x:
P = 3*8 + 5 + 5*8 - 11 + 2*8 + 3 = 77 unitsA plot of land for sale has a width of x ft. and a length that is 8 ft. less than its width. A farmer will only purchase the land if it measures 240 ft^2. Create an equation in terms of w that models this situation.
Given:
a.) A plot of land for sale has a width of x ft. and a length that is 8 ft. less than its width.
b.) A farmer will only purchase the land if it measures 240 ft.
From the given description of the measurement of the land, we generate the following equations:
Width = w
Length = w - 8
Area of the Land = 240 ft.^2
Area = Width x Length
240 = (w)(w - 8)
240 = w^2 - 8w
w^2 - 8w - 240 = 0
Question 1: Create an equation in terms of w that models this situation.
Answer: 240 = w^2 - 8w
Factoring out 240 = w^2 - 8w, we get:
240 = w^2 - 8w
w^2 - 8w - 240 = 0
w^2 - 8w - 240 = 0 → (w - 20)(w + 12) = 0
First possible measure of the width,
w - 20 = 0
w = 20 ft.
Second possible measure of the width,
w + 12 = 0
w = -12 ft.
A dimension must never be a negative value, therefore, the width must be equal to 20 ft.
Let's determine the length,
Length = w - 8
= 20 - 8
Length = 12 ft.
Summary:
The equation that models the situation: 240 = w^2 - 8w or w^2 - 8w = 240
The measure of the length = 12 ft.
The measure of the width = 20 ft.
How many output points does the vertical line test cross in this graph, and is it a function?
Answer:
Step-by-step explanation:
12 output points
Can yallll plzzzzz hellllp meeeeee
Answer:
straight line is drawn
Step-by-step explanation:
with the help of pencil and scale which have black in colour
How would you suggest that managers avoid the quick-fix mentality that makes management by best-seller so tempting?
You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:
1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.
2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.
3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.
4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.
5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.
6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.
By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.
Hope this helped you...
A triangle drawn on a Cartesian plane has vertices p(-10,-2) Q(-10,6) and R(5,2). Calculate the perimeter,in units of the triangle PQR
Answer:
1 is a great place to work for and it is a great place to work for
Step-by-step explanation:
The Frog and the Ox are a great place to work for and it
/_A and /_B are vertical angles. If m /_A = (5x + 2)° and m /_ B = (6x - 12)°, then find the value of x.
Answer:
x = 14
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If ∠A and ∠B are vertical angles
Then 5x + 2 = 6x - 12
^ ( Note that we just created an equation that we can use to solve for x )
The rest comes down to basic algebra
5x + 2 = 6x - 12
step 1 subtract 5x from each side
5x - 5x cancels out
6x - 5x = x
we now have 2 = x - 12
step 2 add 12 to each side
- 12 + 12 cancels out
2 + 12 = 14
we're left with x = 14
im having trouble with this question! pls help
Using a proportional relationship, it is found that the unit rate of change is of 9.
The relation d = 9t is graphed at the end of the answer.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, we have d as a function of t, hence the relationship is:
d = kt.
When t increases by 0.2, d increases by 1.8, hence the constant is given as follows:
k = d/t = 1.8/0.2 = 9
The relation d = 9t is graphed at the end of the answer.
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Which of the following is the product of the rational expressions shown
below?
x+6 2-6
x+3 x-3
A. 22-12
B. 2-12
C. 2-366
9
OA.
OD. 12
The product of the rational expression shown above include the following: B. x² - 36/(x² - 9).
What is a rational expression?In Mathematics, a rational expression simply refers to a type of expression which is expressed as a fraction. This ultimately implies that, a rational expression is composed of two (2) main parts and these include the following:
NumeratorDenominatorIn this exercise, we would determine the product of the numerator for this rational expression and the product of the denominator for this rational expression as follows;
Product of numerator = (x + 6)(x - 6)
Product of numerator = x² + 6x - 6x - 36
Product of numerator = x² - 36
For the denominator, we have the following:
Product of denominator = (x + 3) × (x - 3)
Product of denominator = x² - 3x + 3x - 9
Product of denominator = x² - 9
Therefor, the product of the rational expression is given by x² - 36/(x² - 9).
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The price p of a pizza is $6. 95 plus $0. 95 per topping t on the pizza, write a function rule
Answer:
p = 6.95 + (0.95 × t)
Step-by-step explanation:
What is a function rule?A function rule explains how to convert an input value (x) into an output value (y) for any given function.
p = 6.95 + (0.95 × t)Why do we do this?To get the total price (p) we need to add the cost of the pizza itself, and add each topping. The part of the equation (0.95 × t) can solve for the price of each topping, so we add that on.
Please please please help !!!
Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:
A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)
A)Figure ABCD is similar to figure A′B′C′D′.
B)Figure ABCD is bigger than figure A′B′C′D′.
C)The measure of angle D is equal to the measure of angle A′.
D)The measure of angle D is equal to the measure of angle B′.
Answer:
A
Step-by-step explanation:
These shapes are not identical, because the angles and sides are mirrored, but much like a mirrored object, they are similar. Another way to explain it is when you look into a mirror what you are seeing is not what people see when they see you with their eyes, it's a REFLECTION!
The correct option is Option A: figure ABCD is similar to A′B′C′D′.
What is reflection?Reflection is the translation of the figure about an axis or point so that the distance of the reflected figure from the axis is the same as the distance of the original figure from the axis.
When a point of coordinate (x,y) is reflected about the y-axis then the coordinate of the reflected point will be (-x,y).
In quadrilateral ABCD the coordinate of A is (2,5) and the coordinate of A' is (-2,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point A' is the reflection of point A.
In quadrilateral ABCD the coordinate of B is (1,2) and the coordinate of B' is (-1,2). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point B' is the reflection of point B.
In quadrilateral ABCD the coordinate of C is (3,1) and the coordinate of C' is (-3,1). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point C' is the reflection of point C.
In quadrilateral ABCD the coordinate of D is (4,5) and the coordinate of D' is (-4,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point D' is the reflection of point D.
So all the points of quadrilateral ABCD are reflected about the y-axis.
As it is a reflection about the y-axis for which the size will not be changed and both the reflected and the original figure will be similar.
Therefore the correct option is Option A: figure ABCD is similar to A′B′C′D′.
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Celia wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 6 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.
Answer:
SINCE YOU WROTE ANYTHING ON MINES IM DOING THE SAME Step-by-step explanation:
XY = 4x + 7 and YZ = 8x – 1 whats XZ
Answer:
12x + 6Step-by-step explanation:
Given
XY = 4x + 7 and YZ = 8x – 1 XZ = ?As per angle addition postulate
XZ = XY + YZXZ = 4x + 7 + 8x - 1 XZ = 12x + 6If 5 boxes of girl scout cookies cost $20, how many boxes of girl scout cookies can I buy for $36?
Answer:
9
Step-by-step explanation:
20 / 5 = 4 36 / 4 = 9
It is recommended to drink 8 glasses of water per day. A glass of water contains approximately 237 mL. If Carmelo drank 7 glasses, approximately how many liters of water did he drink?
H. 3,059 L
B. 16. 59L
C. 1,359 L
D. 1,659 L
Answer:
d Because I just took the test and got it right
r/10+15=60 what is r
Answer:
I think 35 is R
Step-by-step explanation:
10+15=25 and 60-25 is 35.
Complete the equation of the line whose y-intercept is (0,5) and the slope is −9
it is equidistant from the three sides of the triangle is
A. Circumference
B. Centroid
C. Incentre
D. Orthocentre
Ten turns of a wire are helically wrapped around a cylindrical tube with outside
circumference 4 inches and length 9 inches. The ends of the wire coincide with
ends of the same cylindrical element. Find the length of the wire
Answer:27
Step-by-step explanation:
Use the method of Lagrange multipliers to find the extreme
value(s) of the function f(x,y,z) =x^2+y2^+z^2 subject to the
constraints 2x+y+2z=9 and 5x+5y+7z=29.
The maximum value of the function f(x,y,z) subject to the given constraints is approximately 14.94.
To find the extreme values of the function f(x,y,z) = x^2 + y^2 + z^2 subject to the constraints 2x + y + 2z = 9 and 5x + 5y + 7z = 29, we can use the method of Lagrange multipliers.Let λ be the Lagrange multiplier, then the system of equations to solve is:
∇f(x,y,z) = λ∇g(x,y,z)
g(x,y,z) = 2x + y + 2z - 9 = 0
h(x,y,z) = 5x + 5y + 7z - 29 = 0
where g(x,y,z) and h(x,y,z) are the constraints given.Taking the partial derivatives of f(x,y,z) with respect to x, y, and z, we get:
∂f/∂x = 2x
∂f/∂y = 2y
∂f/∂z = 2z
Taking the partial derivatives of g(x,y,z) and h(x,y,z), we get:
∂g/∂x = 2
∂g/∂y = 1
∂g/∂z = 2
∂h/∂x = 5
∂h/∂y = 5
∂h/∂z = 7
Setting the gradients of f(x,y,z) and g(x,y,z) and h(x,y,z) proportional to each other, we have:
2x = λ(2)
2y = λ(1)
2z = λ(2)
2x + y + 2z - 9 = 0
5x + 5y + 7z - 29 = 0
From the first three equations, we have:
x = λ
y = 0.5λ
z = λ
Substituting these values into the constraints, we get:
2(λ) + 0.5λ + 2(λ) - 9 = 0
5(λ) + 5(0.5λ) + 7(λ) - 29 = 0
Simplifying these equations, we get:
5λ = 7
17.5λ = 29
Solving for λ, we get λ = 7/5.
Substituting λ = 7/5 into the equations x = λ, y = 0.5λ, and z = λ, we get:
x = 7/5
y = 7/10
z = 7/5
Therefore, the extreme value of f(x,y,z) subject to the given constraints is:
f(7/5, 7/10, 7/5) = (7/5)^2 + (7/10)^2 + (7/5)^2 = 14.94
Thus, the maximum value of the function f(x,y,z) subject to the given constraints is approximately 14.94.
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4 What is the value of n in the equation
3n - 8 = 32 –n
Answer:
n = 10
Step-by-step explanation:
3n - 8 = 32 - n ( add n to both sides )
4n - 8 = 32 ( add 8 to both sides )
4n = 40 ( divide both sides by 4 )
n = 10
Answer:
\(3n - 8 = 32 - n \\ 3n + n = 32 + 8 \\ 4n = 40 \\ n = \frac{40}{4} \\ \boxed{n = 10}\)
The value of the 'n' is 10 in the equation.