CARD #8: Henry says that the two figures will be congruent. A figure on a coordinate plane is dilated by a scale factor that is less than one. Heather says that the two figures will be similar.
Answers
Answer:
Heather is correct.
Step-by-step explanation:
Two figures are similar if the figures have the same shape but different size
Two figures are congruent if they have the same shape and size.
So, if we dilate a given figure (by any factor different than one) then we are changing the size of this figure.
Finally, a figure and its dilation can't be congruent, as these figures have different size (but still have the same shape, so the figures are always similar)
Then Heather is correct.
Related Questions
20. A biologist studied the populations of geckos and salamanders at Huntington Beach State Park over
a five year period. The biologist modeled the populations, in thousands, with the following polynomials
where x is time, in years.
Geckos: 9.7 x 2 - 0.8x + 2.3
Salamanders: -1.1 x2 + 7.7 x + 5.4
Which of the following polynomials models the total number of geckos and salamanders at Huntington Beach State Park?
Answers
Answer: b
Step-by-step explanation:
What is the arc measure of major arc ADE in degrees?
Answers
Hope this helps!
please solve it CORRECTLY step by step asap
Answers
Answer:
[tex]Product = \frac{3}{5}ab[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{7}a[/tex]
[tex]-\frac{21}{15}b[/tex]
Required
The product
The product is:
[tex]Product = -\frac{3}{7}a * -\frac{21}{15}b[/tex]'
Cancel out the negative signs
[tex]Product = \frac{3}{7}a * \frac{21}{15}b[/tex]
Simplify fractions
[tex]Product = \frac{1}{7}a * \frac{21}{5}b[/tex]
[tex]Product = \frac{1}{1}a * \frac{3}{5}b[/tex]
[tex]Product = \frac{3}{5}ab[/tex]
What would be the 12th number in the following pattern: 1,1,2,3,5,8,13,21…?
Answers
Answer:
I believe its 34
Step-by-step explanation:
because for example the first 2 numbers are both 1 and 1 + 1 is 2 which is the 3rd number and 13 + 21 is 34 I really hope this helped
ANSWER:
144
Write down all the prime numbers between 41
Answers
Answer: Step-by-step explanation:
List of prime numbers before 41 (including 41 itself): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41.
How do i write 25.4 million
Answers
Step-by-step explanation:
[tex]25,400,000[/tex]
Answer:
25,400,000
Step-by-step explanation:
Which trigonometric function is an odd function and why?
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and therefore cos(x) = cos(-x).
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and
therefore cos(-x) = cos(x)
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(x) = sin(-x).
Answers
Answer:
second choice is the answer or it can be
The correct answer is option B.
What is odd function?"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."
For given question,
Consider points A and B on the coordinate plane as shown in following image.
Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]
So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]
Let, AC = y, BC = -y and OC = m
Now, consider sine function
[tex]sin\theta=\frac{AC}{OA}\\[/tex]
⇒[tex]sin\theta=\frac{y}{r}[/tex] ........................(1)
And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]
⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]
⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex] .......................(2)
⇒ [tex]sin(-\theta)=-sin\theta[/tex] ......................(From (1) and (2))
Now, consider cosine function
[tex]cos\theta=\frac{OC}{OA}[/tex]
⇒ [tex]cos\theta=\frac{m}{r}[/tex] ...........................(3)
And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]
⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex] ...........................(4)
⇒ [tex]cos(-\theta)=cos\theta[/tex] ...........................(From (3), (4))
Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
Therefore, the correct answer is option B.
Learn more about odd function here,
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Use the graph that shows the solution to f(x)=g(x).
f(x)=73x−3
g(x)=2x−4
What is the solution to f(x)=g(x)?
Select each correct answer.
−12
0
2
3
Answers
9514 1404 393
Answer:
x = 0, x = 3
Step-by-step explanation:
It appears your equations are intended to be ...
f(x) = (7/3)x -3
g(x) = 2^x -4
These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.
The solutions to f(x) = g(x) are x ∈ {0, 3}.
PLEASE HE L P IT WOULD mean the world to me<3..............................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Is the function representing the weekly paycheck amount of Salesman A a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman B a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman C a proportional relationship? Use complete sentences to explain your reasoning.
Answers
Answer:
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal
Step-by-step explanation:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
These box plots show the scores of students in three different schools on the same 10-point quiz
Which of the following statements is true?
PLS HELP ME
Answers
Answer:
Step-by-step explanation:
The average height of Sally, Jackson, Tina and David is 150 cm per
person. The average height of Sally, Jackson and Tina is 145 cm per
person. Tina is 5 cm taller than David. Jackson is 4/5 as tall as
David. How tall is Sally? (in centimeters)
Answers
Answer:
129 cm
Step-by-step explanation:
The total height of all the people: 150 × 4 = 600 cm
The total height of Sally, Jackson and Tina: 145 × 3 = 435 cm
David’s height: 600 – 435 = 165 cm
Tina’s height: 165 + 5 = 170 cm
Jackson’s height: 170 × 4/5 = 136 cm
Therefore, Sally’s height: 600 – 165 – 170 – 136 = 129 cm
Thenks and mark me brainliest :))
The height of Sally will be 133 centimeters and the height of Jackson is 132cm.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The average height of Sally, Jackson, Tina, and David is 150 cm per person. Then the equation is given as,
(S + J + T + D) / 4 = 150
S + J + T + D = 600 ...1
The average height of Sally, Jackson, and Tina is 145 cm per person. Then the equation will be
(S + J + T) / 3 = 145
S + J + T = 435 ...2
Tina is 5 cm taller than David. Then the equation will be
T = D + 5 ...3
Jackson is 4/5 as tall as David. Then the equation will be
J = (4/5)D ...4
From equations, 1 and 2, then we have
435 + D = 600
D = 165 cm
From equation 4, then we have
J = (4/5) x 165
J = 132 cm
From equation 3, then we have
T = 165 + 5
T = 170 cm
From equation 2, then we have
S + 132 + 170 = 435
S = 133 cm
The height of Sally will be 133 centimeters.
More about the solution of the equation link is given below.
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will mark brainliest please help
Answers
Please mark BRAINLIEST!
Answer:
Step-by-step explanation:
2x-3 =-4x+3
6x = 6
x = 1
plug 1 into either eq. to see what "y" you get
2(1) - 3 = -1
so
(1, -1 )
Find GH. Round to the nearest hundredth
Answers
Answer:
B
Step-by-step explanation:
32.08.
ffgyygyyuuidhyeyytttttrdcgrfhhtuhggi
Answer:
bit.^{} ly/3gVQKw3
Step-by-step explanation:
bit.^{} ly/3gVQKw3
Find the volume of each figure. Round your answer to the nearest tenth, if necessary
Answers
Answer:
V = 168 km³
Step-by-step explanation:
We are given a triangle prism.
Volume of a triangle prism = ½*a*c*h
Where,
a = 8 km
c = 6 km
h = 7 km
Substitute
V = ½*8*6*7
V = 4*6*7
V = 168 km³
If x - 12y= -210 and x -6y=90, then x=
Answers
Answer: x = -30
Step-by-step explanation:
y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x
The solution to the system of equations is x = 390 and y = 50. The value of x is equal to 390.
To find the value of x, solve the system of equations using the method of substitution . Let's use the method of elimination:
Given equations:
x - 12y = -210 (1)
x - 6y = 90 (2)
To eliminate x, we can subtract equation 2 from equation 1:
(x - 12y) - (x - 6y) = (-210) - 90
Simplifying the equation:
x - 12y - x + 6y = -210 - 90
-6y = -300
Divide both sides of the equation by -6:
y = -300 / -6
y = 50
Now, substitute the value of y back into either equation:
x - 6(50) = 90
Simplify the equation:
x - 300 = 90
Add 300 to both sides of the equation:
x = 90 + 300
x = 390
Therefore, the solution to the system of equations is x = 390 and y = 50.
Learn more about Substitution method here:
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Pls help 10 ptsssssssssssss
NO LINKS
Answers
y= x-2
i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answers
Answer:
20% of them we flavored vanilla that day
Step-by-step explanation:
Use the following graph of the function f(x) = 3x^4 − x^3 + 3x^2 + x − 3 to answer this question: What is the average rate of change from x = −1 to x = 0?
A. −6
B. −3
C. 3
D. 6
Answers
9514 1404 393
Answer:
A. -6
Step-by-step explanation:
The average rate of change on that interval is given by ...
m = (f(0) -f(-1))/(0 -(-1)) = f(0) -f(-1)
m = -3 -(3) = -6
The average rate of change on the interval is -6.
Answer:
A. -6Step-by-step explanation:
#CarryOnLearninglook at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)
Answers
A pyramid is 24 feet tall a scaled model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model.
Multiple Choice Answers:
1/12
1/24
12
24
Answers
Answer:
1/12
Step-by-step explanation:
Given the following :
Actual height of pyramid = 24 ft
Dimension of scaled model :
Height = 2ft ; width = 1ft
a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.
Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.
(Height of scaled model / height of actual pyramid)
(2ft / 24ft) = 1/12
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A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
Question 1 options:
A)
Can't be determined
B)
Obtuse
C)
Right
D)
Acute
Answers
Answer:
b) obtuse
Step-by-step explanation:
If this is a right triangle the hypotenuse would be
c² = 9² + 12²
c² = 81 + 144
c² = 225
c = √225
c = 15
Since the third side is 17 which is longer than 15
the triangle is obtuse
Answer:
obtuse
Step-by-step explanation:
What is the parallel slope
Answers
Answer:hv
Step-by-step explanation:
Divide by using long division:
(8x ^2+ 4x – 3) = (2x - 3)
Answers
Answer: Hello Luv......
The chosen topic is not meant for use with this type of problem. Try the examples below.
45665
8723
209÷32
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
What is the opposite of dividing by 19? A. multiplying by 19 B. subtracting 19 C. dividing by 19 D. adding 19
Answers
In Problems 59–62, find the length of each side of the triangle
determined by the three points P1, P, and Pz. State whether the
triangle is an isosceles triangle, a right triangle, neither of these, or
both. (An isosceles triangle is one in which at least two of the sides
are of equal length.)
59. P = (2,1); P2 = (-4,1); Pz = (-4,-3)
Answers
9514 1404 393
Answer:
right triangle
Step-by-step explanation:
Segment P1-P2 is horizontal of length 2-(-4) = 6. Segment P2-P3 is vertical of length 1-(-3) = 4. The horizontal and vertical sides are perpendicular to each other, so it is a right triangle. The sides are of different lengths, so it is a scalene triangle (not isosceles).
If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000 pounds.)
Answers
Answer:
100000
Step-by-step explanation:
First multiplt the given njmber with 2000 and subrat total number givem
Answer: c
Step-by-step explanation:
What is the value of x?
Answers
Answer:
value we donnot know so we try to find it by equations
Answer:
Any number of possibilities...
Step-by-step explanation:
Question 7 of 10
What is the surface area of the right cone below?
12
O A. 108units2
O B. 72 units2
O c. 45 units
D. 35 units2
SUBMIT
Answers
Answer:
the answer is c or 45pie Units
Step-by-step explanation:
The surface area of the right cone is,
⇒ SA = 45π units²
What is mean by Multiplication?The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of cone (r) = 3 units
Slant height of cone (l) = 12 units
Now, We know that;
The formula that is used to calculate the surface area of a cone is;
⇒ SA = πrl + πr²
Hence, We can substitute all the values we get;
⇒ SA = πrl + πr²
⇒ SA = π × 3 × 12 + π × (3)²
⇒ SA = 36π + 9π
⇒ SA = 45π units²
Thus, The surface area of the right cone is,
⇒ SA = 45π units²
Learn more about the multiplication visit:
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(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4
Answers
Answer:
C
Step-by-step explanation:
We want to find ratio of the area of the shaded region to the total area of the square.
First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:
[tex]A=(7)^2=49\text{ units}^2[/tex]
Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.
QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.
So, the area of ΔQRP is:
[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]
UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:
[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]
Therefore, the total area of the white region is:
[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]
Thus, the shaded region is:
[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]
Then the ratio of the shaded region to the total area of the square will be:
[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]
Our answer is C.
x=0,100,200,300, y=3.5,38.5 73.5, 108.5
Answers
Answer:
3.573 ⋅ 0.5108 ⋅ 0.5
Step-by-step explanation: