Complete Question:
Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.
(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.
(b) Determine the scale factor from the first map to the second map.
(c) A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?
(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:
Answer:
(a) Length = 4cm
(b) Scale factor = 0.5
(c) 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale
(d) See attachment for triangle
Step-by-step explanation:
(a) Choose a length between 5 cm and 15 cm
[tex]Length =4cm[/tex] --- This is solely up to you (you can make use of any length between 5 cm and 15 cm)
(b) The scale factor
The scale factor (k) is calculated as:
[tex]k = \frac{New\ Length}{Old\ Length}[/tex]
[tex]k = \frac{4cm}{8cm}\\[/tex]
[tex]k = 0.5[/tex]
(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark
Using:
[tex]k = \frac{New\ Length}{Old\ Length}[/tex]
The old lengths, in this case are: 3cm, 4cm and 5cm
Make New length the subject
[tex]New\ Length = k * Old\ Length[/tex]
When [tex]Length = 3cm[/tex]
[tex]New\ Length = 0.5 * 3cm = 1.5cm[/tex]
When [tex]Length = 4cm[/tex]
[tex]New\ Length = 0.5 * 4cm = 2cm[/tex]
When [tex]Length = 5cm[/tex]
[tex]New\ Length = 0.5 * 5cm = 2.5cm[/tex]
So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale
(d) See attachment for triangle
What are some of the factors that would influence your insurance costs?
OA. Your gender.
OB. Where you live.
OC. The type of car you drive.
OD. All of the above.
Answer:
D. All of the above
Step-by-step explanation:
Insurance costs are influenced by any factor that can reasonably be tied to the cost of claims made against an insurance policy. These costs are carefully analyzed by insurance companies to determine correlations that may be influential.
__
In general, women have different driving habits than men, so gender has an influence on insurance costs.
Some areas of a city have different statistics related to vandalized or stolen vehicles, so may influence insurance costs. Certain areas may have different accident statistics, or may experience different kinds of accidents, so repair costs may differ by where you live or where you drive.
Some cars are more expensive to repair than others. Any car with custom features (stereo, upholstery, paint) will likely cost more to repair (and may be subject to more vandalism).
So, all of the above influence insurance costs.
I need help with this problem I'll give brainlist to whoever answers it right
4+2×3²-9
Answer:
The answer for 4+2×3²-9 is 13
Step-by-step explanation:
4+2×3²-9=13
Answer:
4+2×3-9 i think forgot
Step-by-step explanation:
If <2 = 75 degrees and <3 = 30 degrees, find <3 and <4.
Answer:
angle 3 is 30 and 4 is 150 because total angle is 180 between 3 and 4
Does this graph represent a function?
i dont understand it
helpppp meeeee plz thee timee
Answer:
the triangle is congruent by sss.
Answer:
they are congruent by s.s s axiom
12,18,27,...
What is the 7th term in the sequence?
Answer:
[tex]T_7 = 136.6875[/tex]
Step-by-step explanation:
Given
12, 18, 27, ..
Required
Determine the 7th term
The above sequence shows a geometric sequence and the nth term is calculated by:
[tex]T_n = a * r^{n-1[/tex]
r is calculated by:
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{18}{12}[/tex]
[tex]r = 1.5[/tex]
[tex]a = 12[/tex] --- First term
[tex]n = 7[/tex]
So:
[tex]T_n = a * r^{n-1}[/tex]
[tex]T_7 = 12 * 1.5^{7-1[/tex]
[tex]T_7 = 12 * 1.5^6[/tex]
[tex]T_7 = 136.6875[/tex]
I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.
This is a math question,
Please Solve Correctly.
Given:
Number of strawberry candy = [tex]\bold{8\ pieces}[/tex]
Number of rhubarb candy = [tex]\bold{7 \ pieces}[/tex]
Find the number of ways for equally distributing candy to all 5 children
Using formula:
[tex]\to \bold{_{n} C_{r}=\frac{n !}{r!(n-r) !}}[/tex]
Calculating the distributing way for strawberry candy:
[tex]\to \bold{_{8} C_{5}=\frac{8 !}{5!(8-5) !}}[/tex]
[tex]\bold{=\frac{8 !}{5! \ 3 !}}\\\\\bold{=\frac{8 \times 7 \times 6 \times 5!}{5! \ 3 \times 2\times 1}}\\\\\bold{=\frac{8 \times 7 \times 6 }{ 6}}\\\\\bold{=8 \times 7}\\\\\bold{=56}[/tex]
Calculating the distributing way for rhubarb candy:
[tex]\to \bold{_{7} C_{5}=\frac{7 !}{5!(7-5) !}}[/tex]
[tex]\bold{=\frac{7 !}{5! \ 2 !}}\\\\\bold{=\frac{7 \times 6 \times 5!}{5! \ 2\times 1}}\\\\\bold{=\frac{ 7 \times 6 }{ 2}}\\\\\bold{=7 \times 3}\\\\\bold{=21}[/tex]
Adding both distributing ways:
[tex]\to \bold{56+21=77}[/tex] ways
Learn more:
probability: brainly.com/question/23044118
13,5,11,8,14,15
please find the median!!
Answer:
The answer is twelve :)))
Answer:
12
Step-by-step explanation:
Simplify the sum. (8u^3+8u^2+6)+(4u^3-6u+3)
Answer:
[tex]\boxed{12u^3+8u^2-6u+9}[/tex]
Step-by-step explanation:
[tex](8u^3+8u^2+6)+(4u^3-6u+3) = 8u^3+8u^2+6+4u^3-6u+3[/tex]
Once
[tex]8x+4x = 12x, \text{ as } x = u^3[/tex]
[tex]8u^3+8u^2+6+4u^3-6u+3 = 12u^3+8u^2+6-6u+3 = \boxed{12u^3+8u^2-6u+9}[/tex]
You don't need to factor.
Tammy ran 4 & 2/5 miles on Saturday. On Sunday she ran for 1/2 of the distance she
ran on Saturday.
Tammy ran Sunday.
Answer:
I need help right now with math
Step-by-step explanation:
Answer:
4 2/5 × 1/2= 2 1/5 / 2.2 miles
Step-by-step explanation:
hope this helps.
A group of researchers investigated the effects of bed room lighting conditions in developing eye sight problems and found that A) Of a total of 202 children who slept in darkness, 12 percent were nearsighted. B) Of a total of 333 who slept with a nightlight, 44 percent were nearsighted, and C) Of a total of 90 who slept with a lamp on, 65 percent were nearsighted. After data was collected, researchers realized that they forgot to formulate a hypothesis. Your task is to 1. Write a Directional hypothesis for this study 2. Write a Non directional hypothesis for this study 3. Identify the control group of this study 4. Identify experimental group(s) of this study 5. Identify dependent and independent variables of this study
Answer:
Step-by-step explanation:
From the given information:
We are to find the following:
1)
Directional hypothesis: The directional hypothesis is the groups with different bedroom lightning conditions having a different proportion of eyesight proportions.
2)
The non directional hypothesis is each group having the same proportion of eyesight problems regardless and independent of the condition of the bedroom lightning.
3)
Control group: Children that slept in darkness
4)
Experimental groups: Children that slept in night light and those that slept with lamp.
5)
Independent variable: Light condition of the bedroom
Dependent variable: Eye sight problem.
Select all the studies in which the results may have been skewed by bias.
a study of the popularity of a particular music genre, with a small standard deviation about the mean
a study on the heights of a group of fourth graders, where 90% of the data fell below the population mean
a study of the average annual rainfall, with 28% of the data having a z-score greater than 1
a study on employees’ commute time, with 90% of the data falling within 1 standard deviation of the population mean
a study with a significantly larger than expected standard deviation about the sample mean
a study on the average life span of a type of plant, where 50% of the data fell above the population mean
The studies in which the results may have been skewed by bias.
A study of the popularity of a particular music genre, with a small standard deviation about the mean.What is a skewed (biased) result?Others are:
A study on the average life span of a type of plant, where 50% of the data fell above the population mean.
A skewed or (biased) result, is known to often occur even if there was an accurate that is unbiased algorithm that is said to be seen as skewed (biased) data.
Note that when you If you wrongly remove or include some participants in your research, you can be able to get skewed data results.
Learn more about bias from
https://brainly.com/question/24491228
#SPJ2
Help me answer this for brainliest
Answer:
question 1(2)
answer 4
question 2(3)
answer 1
question 3(4)
(a)6; factored
(b)7; factored
c(8); factored
what is the area of this triangle?
Answer:
48
Step-by-step explanation:
Area of a triangle is 1/2(base*height)
Plug in:
1/2(6*16)
1/2(96)
48
Answer: 1,600 cm
~ i really hope that this is correct, have a gr8 day my friend!~
Step-by-step explanation:
Apply the distributive
property to write
equivalent expressions in
expanded form.
4(h+6) 7(3h + 3)
Answer:
25h + 45
Step-by-step explanation:
4(h+6) 7(3h+3)
4h + 24 21h + 21
25h + 45
If anyone could help with this
evaluate in the following expression when x = 4 and y = 5
Someone solve for x pls
Answer:
Possibly wrong but 13.66?
Answer:
√8
Step-by-step explanation:
a^2 + b^2 = 4^2
a^2 + b^2 = 16
a^2 = b^2
a^2 = 8
a & b = √8
Brainilist Maybe?
a group of preschoolers has 31 boys and 37 girls. What is the ratio of girls to boys
Answer:
37:31 or any other way of writing 37 to 31
Step-by-step explanation:
Write the ratio the same way the question asks, there are 37 girls and 31 boys. This cannot be simplified.
The question that is asked
Answer:
the answer is 35.0° pls thank :)
state cauchy's integral formula
Answer:
Step-by-step explanation:
The Cauchy integral formula states that the values of a holomorphic function inside a disk are determined by the values of that function on the boundary of the disk. More precisely, suppose f : U → C f: U \to \mathbb{C} f:U→C is holomorphic and γ is a circle contained in U.
Solve for x
Pls help
Step-by-step explanation:
collect the like terms 12x+4=9x+8
12x-9x=8-4
3x=4
X=1.333
Answer:
8
Step-by-step explanation:
As both angles are corresponding their sum will be 180➝12x+4+9x+8=180
➝12x+9x+4+8=180
➝21x+12=180
➝21x=180-12
➝21x=168
➝x=168/21
➝x=8
does 10,15,18 form an acute triangle
Step-by-step explanation:
Yeah, 10°+15°+18°=43°
Also, they individually are less than 90° so yes
If gas costs $3.15 per gallon, how many whole gallons of gas could you buy with $27.00?
Answer:
the answer is 9
Step-by-step explanation:
i used a caculator
What is the solution to the inequality? -3x - 14 < -5
Answer:
-3x - 14 < -5
-3x < 9 (14 - 5)
x < 9: (-3)
x < -3
=> x = { -4, -5, -6, ...}
Step-by-step explanation:
1. Explain how to write 1.25 divided by 0.8 three ways.
Answer:
Step-by-step explanation:
1.25/.8=a
[tex]\frac{5}{4} /\frac{4}{5}[/tex]
1.25/4/5
Point Z is at a horizontal distance of 15 meters from the left- most point of the dam . What is the height of the dam at point Z?
Complete Question:
The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.
Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?
Answer:
The height is 36 meters
Step-by-step explanation:
Given
[tex]y = 24 * \frac{x}{10}[/tex]
Required
The interpretation of the question is to determine the value of y when x = 15
Substitute 15 for x in: [tex]y = 24 * \frac{x}{10}[/tex]
[tex]y = 24 * \frac{15}{10}[/tex]
[tex]y = 24 * 1.5[/tex]
[tex]y = 36[/tex]
The height is 36 meters
Answer:
54
Step-by-step explanation:
edge
What is the slope of the line below?
(-1,5)
(12,-1)
A. undefined
B. zero
C. negative
D. positive
Answer:
Positive
Step-by-step explanation:
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