Mark is building a scale model of his car as shown in the diagram. The actual car has a height of 10 feet and the model has a height of 1 foot at the same place.
A. What is the actual length of the car? Show your work.
B. Mark has model wheels with a diameter of 6 inches. If the actual wheel radius is 2.25 feet, will they be in proportion with his model? Justify your answer.
Answers
Answer:
A. 12.5 ft
B. not in proportion (should be 2.5 ft, not 2.25 ft)
Step-by-step explanation:
A scale model is one in which all linear dimensions of the model have the same ratio to corresponding linear dimensions of the object being modeled.
A.Here, that relationship means ...
actual length/model length = actual height/model height
actual length/(1.25 ft) = (10 ft)/(1 ft)
actual length = (1.25 ft)(10/1) = 12.5 ft
__
B.If the actual wheel has the same scale, we will have ...
actual diameter/(6 inches) = (10 ft)/(1 ft)
actual diameter = (6 inches)(10/1) = 60 inches = 5 ft
actual radius = (5 ft)/2 = 2.5 ft . . . . . at the same model scale
Since the actual wheel radius is 2.25 feet, it is not in proportion to the rest of the model.
Related Questions
Number 4 please and thank you
Answers
Answer: 20
Step-by-step explanation:
4/10 = 8/x
4x = 80
x = 20
PLZ HELP ASAP..ILL GIVE BRAINLIEST
What is the measure of CED?
1. y2, because ABC = ADCE
2. y, because ABC - AEDC
3. y + 65 degrees, because AABC - ADCE
4. 115 degrees - y, because AABC = ADCE
Answers
111111111111111111111111111
Answer:
3 I think because that's what makes sense to me so hopefully it is correct
An epidemiologic study examined the incidence of symptomatic Chlamydia infection in a cohort of 2000 young women in a county in Georgia over 5 years. All subjects were enrolled on the same day (Jan 1, 2015), and did not have Chlamydia infection at the time of study enrollment. During the study period, 440 subjects were newly diagnosed with Chlamydia infection. Subjects were followed for a total of 6200 person-years.
If no one dropped out of the study and no one developed Chlamydia infection during the study period, how many person-years would be contributed in total by subjects in this study?
Answers
a. If no one dropped out of the study and no one developed Chlamydia infection during the study period, the total number of person-years = 10,000 person-years (2,000 x 5 years).
What are person-years?
Person-years are the product of the number of people in a study and the amount of time each person spends in the study.
Thus, since there are 2,000 women in this study, who spend 5 years each, the person-years are 10,000 (2,000 x 5) person-years.
b. The estimated incidence rate of Chlamydia infection among women who participated in the study is 0.62 or 620 per 1,000 person-years (6,200/10,000).
What is an incidence rate?
An incidence rate describes the quickness of disease occurrence in a population. Since the incidence rate is based on person-time, it has some advantages over an incidence proportion, which measures the probability of developing a disease during the specified period.
Data and Calculations:
Sample of young women = 2,000
Period of study = 5 years
Subjects newly diagnosed with infection = 440
Total number of person-years of subjects diagnosed = 6,200
Thus, the total number of person-years in the study is 10,000 person-years, while the incidence rate is 620 per 1,000.
Learn more about incidence rates at https://brainly.com/question/24493066
PLEASE HELP!!!!!!!!!!!!!!
The hypotenuse of a right triangle measures 3√15 centimeters and its shorter leg
measures 3√6 centimeters. What is the measure of the larger acute angle of the triangle?
Round your answer to the nearest tenth of a degree.
Answers
Answer:
angle = 50.8° (to the nearest tenth of a degree)
Step-by-step explanation:
In a right triangle:
The angle between the shorter leg and the hypotenuse is the larger acute angle of the triangle.The angle between the longer leg and the hypotenuse is the smaller acute angle of the triangle.We have been given the measures of the shorter leg and the hypotenuse, so the angle between them is the larger acute angle (which we need to find).
shorter leg = 3√6 cm
hypotenuse = 3√15 cm
So to find the angle, we need to use the trig ratio: [tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
If [tex]\theta[/tex] is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.
Substituting the given values:
[tex]cos(\theta)=\frac{3\sqrt{6} }{3\sqrt{15} }[/tex]
⇒ [tex]\theta=arccos(\frac{3\sqrt{6} }{3\sqrt{15} })=50.76847952..[/tex]
Therefore, the angle = 50.8° (to the nearest tenth of a degree)
Pleaseee help me to solve this
Answers
Answer:
- 4 (3y - 10) - y = - 2 (y - 5 )
y = 2 8/11
A certain video game costs $35 and there is 4% sales tax what is one way to determine what the amount of sales tax will be
Answers
Answer:
$1.40
Step-by-step explanation:
Find 4% of $35.
4% of $35 = 0.04 × $35 = $1.40
ez20 chaarecter long
Answers
Answer:
24 oz has the lowest cost per ounce.
Step-by-step explanation:
12 oz ---> $2.49
1 oz --> $2.49/12
1 oz --> $0.2075
14 oz --> $3.15
1 oz --> $3.15/14
1 oz --> $0.225
20 oz --> $5
1 oz --> $5/20
1 oz --> $0.25
24 oz --> $4.56
1 oz --> $4.56/24
1 oz --> $0.19 ..........this is the lowest cost per ounce
36 oz --> $7.2
1 oz --> $7.2/36
1 oz --> $0.2
Marcia is typing her report for history class.She can type 4 pages in 48 minutes. At that rate, how many pages does she type per hour?
Answers
Answer:
5 pages
Step-by-step explanation:
Set up a proportion:
4/48=x/60
Cross multiply=
4 x 60=240,
240/48=5
4/48=5/60
Which is the best example of natural selection?
Some insects in a population survive temperature changes and pass their traits on to their offspring.
A deer population is rapidly killed off by a forest fire.
A few mice from a population randomly die from a disease, while surviving mice are not able to reproduce and slowly die off.
An injured bald eagle is captured and placed in a wildlife facility where it survives for 10 years.
Answers
Answer:
its A
Step-by-step explanation:
what is 8 diveded by 3
Answers
Answer:
2.66666666667
Step-by-step explanation:
2.6666666667x3=8
Here is 100 point for anyone who can guess a number from 1 to 5 if you get it right you get brainlyist who however you spell it
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
If X= { x/ x ∈ W, 0 ≤ x < 4}. Write the number of possible subsets.
Answers
Answer:
16 subsets
Step-by-step explanation:
Set [tex]\displaystyle \{x/x\in \mathbb{W},0\leq x<4\}[/tex] reads as [tex]x[/tex] is a whole number greater or equal to zero but less than 4.
Therefore, the only values of [tex]x[/tex] that satisfy this are [tex]\{0, 1, 2, 3\}[/tex], a set with four elements. For a set of [tex]n[/tex] elements, there exist [tex]2^n[/tex] subsets. Therefore, there are [tex]2^4=\boxed{16}[/tex] subsets of [tex]\displaystyle \{x/x\in \mathbb{W},0\leq x<4\}[/tex]
Note that WXYZ has vertices W(-1, 2), X(-5, 7), y(-1, -2), and Z (3, -7).
Answer the following to determine if the parallelogram is a rectangle, rhombus, square, or none of these.
(a) Find the slope of WZ and the slope of a side adjacent to WZ.
(b) Find the length of WZ and the length of a side adjacent to WZ. (Give exact answers, not decimal approximations.)
(c)What can we conclude about parallelogram WXYZ? Check all that apply.
-WXYZ is a rectangle
-WXYZ is a rhombus
-WXYZ is a square
-WXYZ is none of these.
Answers
a. Slope of WZ = -2.25; Slope of WX = 5
b. WZ = √97; WX = √41
c. WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: D. WXYZ is none of these.
Slope of a SegmentSlope = change in y/change in x
Given:
W(-1, 2), X(-5, 7), Y(-1, -2), and Z (3, -7)
a. Slope of WZ and slope of WX:
Slope of WZ = (-7 - 2)/(3 -(-1)) = -2.25
Slope of WX = (7 - 2)/(-1 -(-1)) = 5
b. Use distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find WZ and WX:
[tex]WZ = \sqrt{(3 - (-1))^2 + (-7 - 2)^2}\\\\\mathbf{WZ = \sqrt{97} }[/tex]
[tex]WX = \sqrt{(-5 -(-1))^2 + (7 - 2)^2}\\\\\mathbf{WX = \sqrt{41} }[/tex]
c. The quadrilateral WXYZ have adjacent sides that are not perpendicular to each other and have different slopes and different lengths, so therefore, WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: D. WXYZ is none of these.
Learn more about slopes on:
https://brainly.com/question/3493733
hat are the coordinates of point Y’?
(4, –2)
(1, 4)
(–4, 1)
(–1, –4)
Answers
Answer:
-2,4,1,-4
Step-by-step explanation:
it is stated that y should be on the right while x on the left.
Solve. Show your work on a sepárate sheet of paper. Monday: Place Value 1. Write the number ten times Smaller than 4250?
Answers
Answer:
The answer is 425
Step-by-step explanation:
4250/10=425
17+?+12-0=32 please I need help
Answers
Answer:
3
Step-by-step explanation:
17+x+12-0=32
29+x-0=32
29+x+32
x=32-29
x=3
Answer:
3
Step-by-step explanation:
remove the 0 from the equation(it doesn't change anything because it's 0) then add the numbers , 17+12=29 then you want to move the constant to the right so x=32-29 .
32-29=3
Find the difference between 7 /10 and 14 / 15.
Answers
Answer:
-7/30
Have a great day!
Answer:
1 21/70
Step-by-step explanation:
14/7 x 10/10 = 140/70
- 7/10 x 7/7 = 49/70
_______
140/70 and 49/70 both have an equal denominator (bottom number) now, so now we can find the difference (subtract).
140/70
- 49/70
_________
91/70
Now, simplify.
1 21/70
Find the LCM of 6! and (4!)^2
Answers
Answer:
it's 12
4, 8, 12
6, 12
Answer:
2880
Step-by-step explanation:
!=factorial. Factorial means you are multiplying by a number by the numbers less than it.
so that means 6*5*4*3*2*1=720.
And the factorial of 4 is 4*3*2=24.
24^2=576
So now we have to find the LCM of 576 and 720.
I will use the prime factorization method so the prime factorization of 576 is:
2*2*2*2*2*2*3*3
Prime factorization of 720:
2*2*2*2*3*3*5
So we first we gotta find the GCF, which is 2*2*2*2*3*3 because that is something that they both share in their prime factorizations. So the answer to the GCF is 144.
So now, the numbers that we did not use which is a 2 and another 2 and a 5. So 2*2*5=20
Finally, we have to multiply 20 by the GCF, which is 144, and the answer is 2880.Solve 5x + 3x = 5x + 18. Explain how you found your answer The solution is r = Because is on both sides of the equation, 3x must be equal to so that the equation is true.
Answers
Equations are expressions equated to each other. The value of x from the given equation is 6
Equation and expressionsEquations are expressions equated to each other. Given the expression;
5x + 3x = 5x + 18
Since 5x is on both sides, we will cancel it out
5x + 3x - 5x = 5x + 18 - 5x
3x = 18
Divide both sides by 3
3x/3 = 18/3
x = 6
Hence the value of x from the given equation is 6
Learn more on equations here: https://brainly.com/question/2972832
Urgent.
Please show work. I am really struggling in math and my teacher doesn’t explain this to me please thank you.
Answers
Answer:
#1. 105.5 because of the nine 4 goes to 5
#2. 67,990,000 because of the 4 it doesn't go up
#3. -4.1 because of the 4 the 0 goes to 1
if the number place before the one you are rounding is 5,6,7,8,or 9you go up by one and the rest becomes zeros
if the number place before the one you are rounding is 0,1,2,3,or 4 you stay the same and the rest becomes zeros
No bots answer fast plz 1. (4x + 8) + (7x + 3) =
Answers
………………………………….
Answer: 11x+11
Step-by-step explanation:
hope this helped u in any way
Suppose Birmingham, Huntsville, and Gadsden, Alabama, form a right triangle. What is the distance from Huntsville to Gadsden? Thanks for answering!
Answers
Answer:
76.7 miles
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]a^2+b^2=c^2\\\\61^2+d^2=98^2\\\\3721+d^2=9604\\\\d^2=5883\\\\d\approx76.7[/tex]
Therefore, the distance from Huntsville to Gadsden is about 76.7 miles
A town doubles its size every 64 years. If the population is currently 1700, what will the population be in 128 years.
Answers
Answer:
6800 will be the population after 128 years.
Step-by-step explanation:
times it doubles: 128 / 64 = 2 times
so increase in population = 1700 * 2 * 2 = 6800 people.
The price of an item has been reduced by 15%. The original price was $89.
Use the ALEKS calculator to find the price of the item now.
Answers
The price is now $75.65.
Margarita compró 24 paletas para hacer un trabajo de su escuela si cada palito mide 1/8 cuántos metros se completarían si Margarita formará una línea con todos los palitos
Answers
Usando proporciones, hay que 3 metros se completarían si Margarita formará una línea con todos los palitos.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total.Cuando dos medidas están relacionadas, puede-se aplicar una regla de tres.En este problema:
Un palito mide 1/8 de metro.Cuanto miden 24 palitos?La regla de tres es:
1 palito - [tex]\frac{1}{8}[/tex] metro
24 palitos - x metros
Aplicando multiplicación cruzada:
[tex]x = 24\frac{1}{8} = 3[/tex]
Por eso, 3 metros se completarían si Margarita formará una línea con todos los palitos.
Puede-se aprender más a cerca de proporciones en https://brainly.com/question/26395519
(2u+8)+(15u+7)=______u+______
Answers
Answer:
17u+15
[tex]step \: by \: step \: explanation[/tex]
(2u+8)+(15u+7)=2u+8+15u+7
=2u+15u+7+8
=17u+15
Mark brainlest
A student factors 15c2 + c – 28 to the following.
(c + 2)(15c – 14)
Which statement about (c + 2)(15c – 14) is true?
Answers
Answer:
C
Step-by-step explanation:
im doing this for the limit cap
Please help, i need to know what the awnser is!!!!!!!!!
Answers
Answer:
-2/9 or - 0.2223
Step-by-step explanation:
Solution :
12(1/6) - 4(5/9)
⇒ 12/6 - 20/9 = 2 - 20/9 = (18- 20)/9 = -2/9
Mark brainliest if you understand
What is the best way for the following expression to be read?
6 · (-5)
Answers
Answer:
Six times negative five
Step-by-step explanation:
I hope this helped!
Answer: the answer would be negative 30 because you are multiplying the negative with the positive so you will have 6 groups of -5.
Step-by-step explanation:
I need help on this question please!!!
Answers
Answer:
I do believe it is C
Step-by-step explanation:
since 6,5 + 2.4 = 8, 9
