Answer:
The expression represents the sum of 5 and 2x.The expression represents 5 plus x plus x.The expression represents 5 plus 2 times x.The black trapezoid is a dilation of the green trapezoid. What is the scale factor of the dilation?
A) 1/5
B) 1/3
C) 3
D) 5
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Explanation:
We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]
Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.
Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.
Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).
------------------------------
So far we found:
The bottom edge of the green trapezoid is 15 unitsThe bottom edge of the black trapezoid is 3 unitsThese two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.
scale factor = (image length)/(preimage length)
scale factor = 3/15
scale factor = 1/5
SOMEONE PLEASE HELP ME
Answer:
27
Step-by-step explanation:
math
Sullivan’s boss has 5 eyes total. Three of his eyes are smaller than the other two. What percentage of his eyes are larger?
Answer:
40%
Step-by-step explanation:
3/5 are small so we have to find 2/5 which is 40%
2/5=x/100
cross multiply
you'll get: 5x=200
divide and thats how u get 40 %
Consider the geometric sequence 8,4,2,1,...
Answer:
Its A for the function that represents the geomertric sequence
Nevaeh invested $1,200 in an account paying an interest rate of 2⅞ % compounded quarterly. Paisley invested $1,200 in an account paying an interest rate of 2⅝ % compounded continuously. To the nearest dollar, how much money would Nevaeh have in her account when Paisley's money has tripled in value?
Answer:
[tex]Nevaeh \ will \ have \ 1224.33 \ and \ Paisley \ will \ have \ 1275.[/tex]
The radius of a circle is 7 millimeters. What is the circle's area?
Use 3.14 for a.
square millimeters
Answer:
153.86
Step-by-step explanation:
formula - πr²
= 3.14 * 7²
= 153.86
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 5, -25, 125,
The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
The given sequence is 5, -25, 125,.......
Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.
We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].
Where, a = first term of the sequence, r= common ratio and n = number of terms.
Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get
[tex]a_n=5\times(-5)^{n-1}[/tex]
Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
To learn more about the geometric sequence visit:
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I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.
Annually compoudning interest formula
PV(1+i)ⁿ
4000(1+.0775)¹⁰=8437.869021
which rounds to
$8437.87
If you were to do this on a financial calculator it would look like this:
N=10
I/Y=7.75
PV=4000
PMT=0
CMPT FV = same answer
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a
wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on
the space on which the wheel stops. Let X represent the value of a spin. The distribution of X is given in the table.
a.1 b.1.5 c.2 d.2.1
Answer:
The median of the distribution is (first option);
1
Step-by-step explanation:
The values on the given table are presented as follows;
[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1
The median value of the distribution of X is 1
How to determine the median?The cumulative probability of the distribution is:
[tex]\sum E(x) = 1[/tex]
The median position is calculated as:
[tex]Median = \frac{\sum E(x)}{2}[/tex]
This gives
[tex]Median = \frac{1}{2}[/tex]
Median = 0.5 th
This mean that the median is at the 0.5th position
The value of the spin at the 0.5th position is 1
Hence, the median value of the distribution of X is 1
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Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.
Answer:
Step-by-step explanation:
P = £1100
r = 5%
t = 6 years
I =P*r*t
[tex]I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330[/tex]
Amount = P + I = 1100 + 330 = £1430
13. A square based cuboid has a width of 4cm. If the volume of the cuboid is 400 cubic
centimeters, what is the surface area of the cuboid?
Answer:
216 cm²
Step-by-step explanation:
Applying,
V = lwh..................... Equation 1
Where V = volume of the cubiod, l = length of the base, width of the base, h = heigth of the cubiod.
From the question,
Since the base of the cubiod is squared,
Therefore,
w = l = 4 cm, V = 400 cm³
Substitute these values into equation 1
400 = 4×4×h
h = 400/(4×4)
h = 25 cm
A = lw+lh+wh.................. Equation 1
Where A = surface area of the cuboid.
Given: l = 4 cm. w = 4 cm, h = 25 cm
Substitute these values into equation 1
A = (4×4)+(4×25)+(4×25)
A = 16+100+100
A = 216 cm²
Allison drew 3 triangles, 5 hexagons, and 4 octagons.
How many line segments did she draw?
A. 81
B. 72
C. 71
D. 68
Answer:
D 68
Step-by-step explanation:
I think that's the answer
Answer:
71
Step-by-step explanation:
3×3 = 9
5×6 = 30
4 × 8 = 32
30+32+9= 71
Hi how’s your day ? Would you like to help me ?
Answer:
Hi
Good
I think its the second but i'm not sure because there are no measurements
Good luck
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex]16[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 8x[/tex]
To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....find the value of x in the figure.
How do I find the indicated value for this problem?
Answer:
t_n =a +(n-1)d
t_100 = 2+ (100-1)6
= 2+99× 6
= 2 +594
= 596
15 x b = 60 explanation
Answer:
x = 4
( if you need a better explanation ask me and i'll give you a different one) :)
Step-by-step explanation:
15 x b = 60
15 x b divided by 15 = 60 divided by 15 to get the 15 from one side to the other
x=4
Four times a number is greater than 48. What are the possible values for the
number?
Answer:
Any number greater than 12 but not including 12
Step-by-step explanation:
hope it helps u
FOLLOW MY ACCOUNT PLS PLS
Answer:
this is a very easy question all you have to know is your times table.
the working is shown below:
12
×4
--------
48
---------
OR
------
12×4= 48
What is 0.75 = 0.4 + 100
Answer:
0.75≠100.4
Step-by-step explanation:
The sides of a polygon are 3cm,5cm,6cm,8cm and 10cm.The perimeter of a similar polygons is 48cm.Find the sides of the second polygon.
Answer:
[tex]a'=4.5[/tex]
[tex]b'=7.5[/tex]
[tex]c'=9[/tex]
[tex]d'=12[/tex]
[tex]e'=15[/tex]
Step-by-step explanation:
From the question we are told that:
Sides of Polygon 1
a=3
b=5
c=6
d=8
e=10
Perimeter of polygon 2 P_2=48
Generally the equation for Polygon 1 is mathematically given by
P_1=a+b+c+d+e
P_1=3+5+6+8+10
P_1=32
Generally the sides of similar polygon with Perimeter P_2=48 is mathematically given by
Side\ of\ polygon\ 2 =\frac{side\ of\ polygon\ 1}{perimeter\ of\ polygon\ 1}*perimeter\ of\ polygon\ 2
Therefore
[tex]a'=\frac{a}{P_1}*P_2\\a'=\frac{3}{32}*48[/tex]
[tex]a'=4.5[/tex]
[tex]b'=\frac{b}{P_1}*P_2\\b'=\frac{5}{32}*48[/tex]
[tex]b'=7.5[/tex]
[tex]c'=\frac{c}{P_1}*P_2\\c'=\frac{6}{32}*48[/tex]
[tex]c'=9[/tex]
[tex]d'=\frac{d}{P_1}*P_2\\d'=\frac{8}{32}*48[/tex]
[tex]d'=12[/tex]
[tex]e'=\frac{e}{P_1}*P_2\\e'=\frac{10}{32}*48[/tex]
[tex]e'=15[/tex]
Hello I really need help be genuine I don’t want any links ! I really need help I will make brainliest :(
Answer:
28 of the student do not snowboard
Step-by-step explanation:
You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does the ladder need to be to reach the poof of the boathouse?
Answer:
37 ft
Step-by-step explanation:
The ladder forms a right triangle as it elan's against the wall of the boat house.
Thus, the length of the ladder can be determined using Pythagorean theorem.
c² = a² + b²
c = length of ladder
a = 35 ft
b = 12 ft
Plug in the values
c² = 35² + 12²
c² = 1,225 + 144
c² = 1,369
c = √1,369
c = 37
Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft
Please help! This is urgent what is the answer
Answer:
Your answer would be 3.4
Step-by-step explanation:
I would explain but it seems like you in a hurry for the answer so I'm just going to give you the answer hope you get a %100 on whatever your doing!!
Please mark brainly!
Answer:
Step-by-step explanation:
Classify this triangle by its sides.
Answer:
Equilateral
Step-by-step explanation:
All angles are the same, so the sides are the same as well
Classifications:
Scalene = no sides and angles are the same to others
Equilateral = All sides and angles are congruent
Isosceles = 2 sides and 2 angles are congruent.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: equilateral
Step-by-step explanation:
An equilateral triangle is a triangle where all the sides are the same length.
BRAINLIEST IF CORRECT, NO LINKS OR SPAM ALLOWED
Answer:
b: 100
c:yes
d: younger, more, small/younger
Step-by-step explanation:
Naim added 30 to the number of fish Connor had in his fish tank for a total of 52 fish in the tank which equation can be used to find the original number of fish Connor had in his tank
Answer:
30+ X = 52
Step-by-step explanation:
Answer:
x+30=52
or 52-30
Step-by-step explanation:
I know 2nd grade math.
Subtract 30 from 52.
Two partners starting a new restaurant and the total investment is $67,000. Their investments are in the Ratio 3:4. How much does each investor contribute?
Answer:
One investor should make ABOUT $28714.29 while the other will make about $38285.71
Step-by-step explanation:
67000 x 3/7 =28714.285...
67000 x 4/7 = 38285.714....
please help me
i’m so stuck
Answer:
2 cm
Step-by-step explanation:
V=πr2h = 20π
-π -π
r2h = 20
h= 5
r2(5) = 20
/5 /5
r2=4
/2 /2
r=2cm
(my work is complicated, but trust me 2 cm is the answer)
It’s a multiple choice so it’s like 3 answers but help please
Answer:
b g and e
Step-by-step explanation:
If someone helps me ill give them brainlest
Answer:
x+51+80+60=180
x+191. =180
x=180-191
x=-11