Angela drew the two quadrilaterals shown. The second is a scale drawing of the first. What scale factor did Angela use to draw the second quadrilateral?
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main answer is just 3
Related Questions
If X = 14, find the value of the variable a. If your answer is not an integer, express it in simplest radical form.
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Answer:
Step-by-step explanation:
First thing I would do is square the 14, and put it under the radical. Itll make the calculations a little bit easier.
14sqrt(2) = sqrt392
Use the definition of sine to find the value of a
sin(45) = opposite/hypotenuse = a/sqrt392
[tex]sin(45)=\frac{a}{\sqrt{392} }[/tex]
a = 14
Suppose the following tables present the number of specimens that tested positive for Type A and Type B influenza in a country during a flu season. Type A 38 100 186 199 253 380 595 966 1611 2638 3845 4931 5183 5367 5890 Type B 59 95 116 143 156 225 271 366 495 696 851 1060 1140 1101 1202 Send data to Excel (a) Find the mean and median number of Type A cases. Round the answers to at least one decimal place. (b) Find the mean and median number of Type B cases. Round the answers to at least one decimal place. (c) A public health official says that there are more than twice as many cases of Type A influenza than Type B. Do these data support this claim
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Answer:
(a) Mean and Median of type A
[tex]\bar x = 2145.47[/tex]
[tex]Median = 966[/tex]
(b) Mean and Median of type B
[tex]\bar x = 531.73[/tex]
[tex]Median = 366[/tex]
(c) The claim by the public health worker is true.
Step-by-step explanation:
Given
[tex]Type\ A: 38\ 100\ 186\ 199\ 253\ 380\ 595\ 966\ 1611\ 2638\ 3845\ 4931\ 5183\ 5367\ 5890[/tex]
[tex]Type\ B: 59\ 95\ 116\ 143\ 156\ 225\ 271\ 366\ 495\ 696\ 851\ 1060\ 1140\ 1101\ 1202[/tex]
[tex]n = 15[/tex]
Solving (a): The mean and median of A.
Mean is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{38 +100 +186 +199+ 253+ 380+ 595+ 966 +1611 +2638 +3845+ 4931+ 5183 +5367 +5890 }{15}[/tex]
[tex]\bar x = \frac{32182}{15}[/tex]
[tex]\bar x = 2145.47[/tex]
The median is calculated using:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{15+1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item is: 966
So:
[tex]Median = 966[/tex]
Solving (b): The mean and median of B.
Mean is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{59 +95 +116+ 143+ 156+ 225+ 271+ 366+ 495 +696+ 851+ 1060+ 1140 +1101+ 1202}{15}[/tex]
[tex]\bar x = \frac{7976}{15}[/tex]
[tex]\bar x = 531.73[/tex]
The median is calculated using:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{15+1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item is: 366
So:
[tex]Median = 366[/tex]
(c) The claim by the public health worker is true.
To do this, we simply compare the mean value of both types.
For Type A
[tex]\bar x = 2145.47[/tex]
For Type B
[tex]\bar x = 531.73[/tex]
The claim is:
[tex]Type\ A > 2 * Type B[/tex]
[tex]2145.47 > 2 * 531.73[/tex]
[tex]2145.47 > 1063.46[/tex]
Since the inequality is true, then the claim is true
Sasha spins the spinner shown below.
H
IF Sasha spins the spinner once, what is the
probability it will land on or G?
w
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Answer:1/7
Step-by-step explanation:
Given that x is an integer and that –15 <x 5 35,
write down the least value of x.
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Answer:
a) d = 3 b) a(n) = 3n – 13 c) a(27) = 68
Step-by-step explanation:
solutions are (x, y) = (29,13) and (9349, 4181), which lead to (a, b) = (15,5) and (4895 ... corresponding to integer values of x give the quadruples. (x, y, z ... Since no number congruent to 3, modulo 4, can be written as the sum of two squares ... k is odd, the equation x2 - (k2 - 4)y2 = 4 has smallest solution in positive integers .
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.
Which equation shows the rate, r, in miles per hour, the family must drive to reach their
grandmother's house in 4 hours?
4r + 350 = 550
550 + 350 = 4r
4++ 350 = 550
T
550 - 350
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Answer:
i tink is b
Step-by-step explanation:
The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.
Let 'r' be the speed of the car in miles per hour. The family must drive to reach their grandmother's house in 4 hours. Then the equation is given as,
4r + 350 = 550
The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ5
Solve the equation
v-5/6=-7/8
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add 20/24 to both sides: v=-1/24
answer: v=-1/24
3 is an element in the domain of the function g(x)= -2x - 4 . What is the corresponding element in the range?
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Hello! :)
[tex]\large\boxed{g(3) = -10}[/tex]
If 3 is apart of the domain, then x = 3.
The range is equivalent to g(x), or the y-value. To solve for this when x = 3, we must plug 3 into the equation:
g(x) = -2x - 4
g(3) = -2(3) - 4
Simplify:
g(3) = -6 - 4
g(3) = -10
Apples are on sale at the local fruit stand at 4 lbs. for $2.60. Which equation can be used to find the cost, c, of n pounds of apples?
Answers
Answer:
C=.65n
Step-by-step explanation:
It costs 2.60 for 4 lbs of apples. For it to be 1 pound of apples it would cost 0.65 cents
So in all the cost is 0.65 cents for (n) or 1 pound of apples.
Answer:
c is or the apples n is for the pound of that apples
Step-by-step explanation:
Solve the inequality
10<3x+19
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Answer:
The answer is ->
x>-3
9x^{2} - x^{3} - 9 + x
What is ^^^ factored?
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Step-by-step explanation:
9x² - x³ - 9 + x
factored = x²(9 - x) - (9 - x)
= (9 - x)(x² - 1)
= (9 - x)(x + 1)(x - 1)
Kecia made a password that consists of 4 digits, 0-9. None of the digits are the same. How many possible passwords did Kecia choose from? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4
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Answer:
There are 9 possible numbers for the first number. There are 8 possible numbers for the second number since one number has been picked. For the third number there are 7 possible numbers.
9*8*7=5040
Step-by-step explanation:
F(x) = 2x^3 + 5x^2 -6x-7 g(x) = 2x-3 find (f - g) (x)
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Given:
The function are:
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
To find:
The function (f-g)(x).
Solution:
We have,
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
We need find (f-g)(x).
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-(2x-3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-2x+3[/tex]
On combining like terms, we get
[tex](f-g)(x)=2x^3+5x^2+(-6x-2x)+(-7+3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-8x-4[/tex]
Therefore, the correct option is B.
álgebra II. Help please...
Answers
Answer:
See below
Step-by-step explanation:
The domain of [tex]f[/tex] is non-negative real numbers, and the domain of [tex]g[/tex] is real numbers.
[tex](f\circ g)(x) = 2\sqrt{2}|x|^5[/tex] (I skipped calculation details), so [tex](f\circ g)(9) = 2 \sqrt{2} \cdot 9^5[/tex].
Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 3 years
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1500+6% (2 percent each year) gets 1,590
3 years: 1,591.81 or 1,592
4 years: 1,623.65 or 1,624
pls help me:(!!!!!!!!!!
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Answer:
A.........................
Solve 1/6 + 3/4
help pls
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Answer:
11/12
Step-by-step explanation:
1/6 = 2/12
3/4 = 9/12
2/12 + 9/12 = 11/12
What is the answer please help if good at math
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Answer:
A
Step-by-step explanation:
C
I’m mostly positive
4x + 6°
6x - 100
7x + 14°
Answers
9514 1404 393
Answer:
x = 10°; angles are 50°, 46°, 84° (CW from left)
Step-by-step explanation:
The sum of the three angles is 180°, so ...
(6x +10°) +(4x +6°) +(7x +14°) = 180°
17x +10° = 180°
17x = 170°
x = 10°
__
Then the angles are ...
6x -10° = 6·10° -10° = 50°
4x +6° - 4·10° +6° = 46°
7x +14° = 7·10° +14° = 84°
Evaluate −6 − (−4). (10 point)
−10
−2
24
2
Answers
Answer: negative 2 (-2)
Step-by-step explanation:-6+4=-2
Answer:
−2
Step-by-step explanation:
−6 − (−4)
= −6 − (−4)
= −6 + 4
= −2
5m - 4z + 8m + 3 – 2z
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Answer:
Step-by-step explanation:
5m+8m= 13m
-4z-2z= -6z
+3
= 13m-6z+3
Answer:
13m - 6z + 3
Step-by-step explanation:
Ivan started the week on page 35 of his book and read 20 pages each night. What page will Ivan be on if he reads for 8 nights?
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Answer: he should be on page 195
Step-by-step explanation:
If 4 points are Collinear, they are also coplanar
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Answer:
that is true
Step-by-step explanation:
On Sunday, Antonio spent total of 3/1/4 hours driving and 1/3/4 hours gardening. How much longer did he spend driving write your answer as a mixed number.
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Answer:
poopjdjdjdjdndiddnr ddjdididndndnddndndjx
Step-by-step explanation:
poop kdfkdkddkejdfjdidjs didneidndzusnxixdn
1 1/2 hours
Time spent by Antonio in driving = 3 1/4 = 13/4
Time spent in gardening = 1 3/4 = 7/4
In order to find how much he spend driving than gardening, we can subtract 13/4 and 7/4.
13/4 - 7/4
Te denominator is same. So, we can directly subtract the numerators.
13-7/4
=6/4
= 3/2 = 1 1/2
Therefore, Antonio spent 1 1/2 hours more in driving than gardening.
Chad's bedroom floor is 18 feet long and 13 feet wide. He has an area rug on his floor that is 2 feet long and 8 feet wide.
Which statement tells how to find the amount of the floor that is not covered by the rug? Select all that apply.
A Add 18 × 13 and 2 × 8.
B Add 18 + 13 + 2 + 8.
C Subtract 18 × 13 from 2 × 8.
D Subtract 2 × 8 from 18 × 13.
E Subtract 16 from 18 × 13.
F Subtract 13 × 8 from 18 × 2.
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9514 1404 393
Answer:
D Subtract 2 × 8 from 18 × 13.E Subtract 16 from 18 × 13.Step-by-step explanation:
To find the area not covered, the rug area must be subtracted from the floor area. Each of those areas is the product of their respective dimensions. The statements describing that subtraction are ...
D Subtract 2 × 8 from 18 × 13.
E Subtract 16 from 18 × 13.
Pls help periodddd pooh
Answers
Answer:
the answer is n = -7
I also put a image to show you how to solve the equation. I hope the image helps.
Answer:
n= -7
Step-by-step explanation:
14). Deconstruct to find the area of the figure below 10 ft. 14 ft.
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Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
x-10= 30 Which value of x makes the equation true
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Here are eight angles. Which of these angles are acute angles?
Enter your answer as a list of letters, separated by commas. For example, if you believe angles A, B, and F are acute, type A, B, F.
Please help me!
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Answer:a and b
Step-by-step explanation:an acute angle in small, an acute angle will always be smaller then C
y = -2x + 2 y = 5x + 9
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Help me please guys.
Find the measure of angle b using the law of sines.
I need to show full work to the teacher
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The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. The formula for it is A=b•sin a/sin b.
You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find:
The remaining sides of a triangle, knowing two angles and one side.
The third side of a triangle, knowing two sides and one of the non-enclosed angles. In some cases (ambiguous cases) there may be two solutions to the same triangle. If the following conditions are fulfilled, your triangle may be an ambiguous case:
You only know the angle α and sides a and c;
Angle α is acute (α < 90°);
a is shorter than c (a < c);
a is longer than the altitude h from angle β, where h = c * sin(α) (a > c * sin(α)).
I hate useless complicated math lol ;)
