Answers
Given:
The scale factor of the actual sports utility vehicle to the toy model is 50:1.
Actual length = 7 feet
Actual width = 5 feet
To find:
The length and width of the toy model.
Solution:
a. Let l be the length of the toy model, then
[tex]\dfrac{\text{Actual length}}{\text{Length of the toy model}}=\dfrac{50}{1}[/tex]
[tex]\dfrac{7}{l}=\dfrac{50}{1}[/tex]
[tex]7=50l[/tex]
[tex]\dfrac{7}{50}=l[/tex]
[tex]0.14=l[/tex]
Therefore, the length of the toy model is 0.14 feet.
b. Let w be the width of the toy model, then
[tex]\dfrac{\text{Actual width}}{\text{Width of the toy model}}=\dfrac{50}{1}[/tex]
[tex]\dfrac{5}{w}=\dfrac{50}{1}[/tex]
[tex]5=50w[/tex]
[tex]\dfrac{5}{50}=w[/tex]
[tex]0.10=w[/tex]
Therefore, the width of the toy model is 0.10 feet.
Related Questions
Find the volume of the triangular prism.
Answers
Answer:
18 i think
Step-by-step explanation:
find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
[tex]3\sqrt{3}[/tex]
Step-by-step explanation:
In all 30-60-90 triangles, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse of the triangle. Since the side opposite to the 30 degree angle is marked as 3, the value of [tex]x[/tex] must be [tex]\boxed{3\sqrt{3}}[/tex].
Alternatively, we can use basic trig. for a right triangle to solve. In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Thus, we have:
[tex]\tan 60^{\circ}=\frac{x}{3},\\x=3\tan 60^{\circ}=\boxed{3\sqrt{3}}[/tex]
Answer:
Step-by-step explanation:
The tangent of a 60 degree angle = Sin(60) / Cos(60)
Sin(60) = Square root (3) / 2
Cos(60) = 1/2
Tan(60) = √3 / 2 // 1/2 Invert the denominator and multiply
Tan(60) = √3/2 * 2/1
Tan(60) = √3
Tan(theta) = opposite / adjacent
Tan(theta) = x/3 in this case
Tan(60) = √3 = x/3
x = 3*√3
Simplify the expression (5)2.
25
-10
-25
10
Answers
Answer:
10
Step-by-step explanation:
5 (2) is the same as 5 × 2 which equals 10
Answer:
10Step-by-step explanation:
Given here,
(5)2
= 5 × 2.
= 10 (Ans)
Select the correct answer.
Simplify the expression 5^-3 x 5^-5
A 1/5^2
B -5^2
C 5^2
D 1/5
Answers
Answer:
A 1/5^2
Step-by-step explanation:
5^3 x 5^-5
We know that a^b* a^c = a^(b+c)
5^3 x 5^-5 = 5^(3-5) = 5^-2
We also know that a^-b = 1/ a^b
5^-2 = 1/5^2
Simplify (2x^2 + 4x) - (7x - 3x^2 + 5)
Answers
Answer:
5x^2 - 3x -5
Step-by-step explanation:
You simplify the like terms
Remember to use distributive property to do the (7x-3x^2+5) part
In ΔUVW, the measure of ∠W=90°, WV = 24, UW = 7, and VU = 25. What is the value of the sine of ∠U to the nearest hundredth?
Answers
Answer:
sinU = 0.96
Step-by-step explanation:
sinU = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{WV}{UV}[/tex] = [tex]\frac{24}{25}[/tex] = 0.96
Which are correct representations of the inequality –3(2x-5) <5(2 - x)? Select two options.
u x<5
. -6x-5 < 10 - X
0 -6x + 15 <10 - 5x
-3
--2
-1
0
2
3
5
to
6
7
-7
1-6
-5
-3 -2 -1 0
2
3
Answers
Answer:
Step-by-step explanation:
-6 and up going left
3-6x (34 divided by3º)2
Answers
Answer:
3^-6(81)^2=3^-6(6561)=9 which is 3^2
Calcula el ancho de un terreno rectangular si el largo mide 20 metros y la superficie es de 280 metros cuadrados
Answers
Answer:14 m
Step-by-step explanation:
Dada
larga [tex]l=20\ m[/tex]
superficie [tex]A=280\ m^2[/tex]
Suponga que el ancho es w
La superficie está dada por el producto de la longitud y la anchura.
[tex]\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m[/tex]
Por lo tanto, el ancho es de 14 m.
Determinants and inverses
Answers
Answer:
first qustion the last one .
second qustion the first one .
help ill give brainliest too
Answers
Answer:
a
Step-by-step explanation:
I think so..
Which theorem shows that ABC = DEF?*
Answers
Answer:
SAS Congruence TheoremStep-by-step explanation:
In ABC. In DEF
AB. = DE. (Given side)
<BAC. = <EDF. (Given side)
BC. = EF. (Given side)
Hence,
Triangle ABC is congruent to Triangle DEF by SAS Congruence Theorem.
Plz help ill give u brainlyest
Answers
Answer:
416 feet squared
Step-by-step explanation:
Answer:
208 ft
Step-by-step explanation:
4*4+4*16+4*16+6*4+4*4+6*4
A 3-column table with 5 rows. Column 1 is labeled Tickets with entries 2, 4, 6, 8, 10. Column 2 is labeled Total Cost for Aquarium with entries 29, 58, 87, blank, blank. Column 3 is labeled Total Cost for Wave Pool with entries 33.5, 67, blank, blank, blank.
Gale found out that the wave pool has a money-saving deal: if more than 4 people attend, the tickets are discounted from $16.75 each to $12.25 each.
Calculate to determine how much 6 tickets to the wave pool will cost.
$
Answers
Answer
What event will cost the least for 9 tickets?
the wave pool
How much less will this event cost?
$20.25
Hope it helps :)
Step-by-step explanation:
Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint? Enter to your answer in the box
Answers
Explanation: The area of a square is 36, there are five squares which equals 180. Then you have to add the area of the four triangles, which one triangle has the area of 18. Which equals 72 for all the triangles. If you add 180 and 72 it equals 252
Find the range of the data.
The ages of kids playing at a park.
4,1, 3, 9, 6, 3, 2, 4
Range : ?
?]
Enter the number that helongs in the araon boy
Answers
Answer:
8
Step-by-step explanation:
write numbers in numerical order then subtract the highest number from the lowest number and you get the range.
(1,2,3,3,4,4,6,9)
9 - 1 = 8
Graph h(x)=-x^4 +3
Use the parabola tool then choose the vertex followed by one point on the parabola.
Answers
The y intercept is 3 and the x intercepts are +1.3 and -1.3
The graph is given below.
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
Here, we have,
h(x)=-x^4 +3
so, The y intercept is 3 and the x intercepts are +1.3 and -1.3
The graph is given below.
To learn more on graph click:
brainly.com/question/17267403
#SPJ2
What is the resulting ordered pair if the value of the independent variable is -1?
f(x)= -5x - 4x +2
A. (-1, 1)
B. (-1, 11)
C. (2,-6)
D. (1, -1)
Answers
ming mile from his house to the library and 2/3 mile from the library to the grocery store. of 11/12 mile it he goes from his house to the library to the grocery store. It is 1/4 Brandon claims that he walks a total of Which of the following shows whether Brandon is correct and why or why not?
Answers
Answer:
Brandon is correct
Step-by-step explanation:
Brandon is running errands for his mother.
It is 1/4 mile from his house to the library and 2/3 mile from the library to the grocery store .
Brandon claims that he walked a total of 11/12 mile if he goes from his house to the library to the grocery store.
Distance from his house to the library = 1/4 mile
Distance from the library to the grocery store = 2/3 mile
Total distance Brandon walks from his house to the library to the grocery store = Distance from his house to the library + Distance from the library to the grocery store
= 1/4 + 2/3
Make both 1/4 and 2/3 have the same denominator to be able to add
The lowest common multiple (LCM) of 4 and 3 is 12
Therefore,
1/4 + 2/3
= (3+8)/12
= 11/12
Total distance Brandon walks from his house to the library to the grocery store = 11/12 mile
Choose the number(s), if any, that make the equation or inequality true from the following set of numbers: {3, 4, 7, 9,12,18,32}.
number one:1/3f=4
number two:1/3 f < 4
number three: m + 7 =20
number 4: m + 7 ≥ 20
Answers
Answer:-2
Step-by-step explanation:
a) Complete the table of values for y = x2 - 4x
ONLY A THANKS
Answers
Just in case your not sure I’ll put here for you
X| -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 |
Y| 12 | 5 | 0 | -3 | -4 | -3 | 0 | 5 |
I need help ASAP I wasn’t paying attention and lowkey forgot all of this
Answers
Answer:
35
Step-by-step explanation:
Only if u put x as 35 will the whole triangle sum equal 180 as necessary for the theorem to be true.
Can someone help me?It's urgent and thank you!
Answers
Answer:
$575.71
Step-by-step explanation:
A = 960(1-.12)^4
A = 960(.88)^4
A =575.71
Answer:
$575.71
Step-by-step explanation:
100-12=88
(0.88)⁴×960= 575.707
PLEASE HELPPPPPPPPPPPPP MEEEEEEEEEEEE
Answers
Answer:
7/24
Step-by-step explanation:
two minuses make a +,
meaning this equation is basically
-1/12+3/8
find a common denominator by LCM.
8,16,24,32
12,24,36,48
they share 24
denominator is 24
12*2 is 24, -1*2 = -2. 8*3 = 24 so we do 3*3 = 9
-2+9/24
7/24
Exact Form:
7
24
7
24
Decimal Form:
0.291
¯
6
HELP FAST TO WHOEVER CAN PLEASE !!
Answers
Helen draws a random circle.
She then measures its diameter and circumference.
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of n using the formula 1 =-
응
Calculate the lower bound and upper bound for Helen's value of it.
Give your answers correct to 3 decimal places.
Answers
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
HELPPPPP!!! ASAPPPPP!!!!!
Answers
Answer:
12[tex]\sqrt{3}[/tex] / 24
Step-by-step explanation:
ΔXZW is a 30-60-90 triangle whose sides are in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2, respectively
also, ΔXZW ≅ ΔYZW
so XW = 12
XZ = 24
WZ = 12[tex]\sqrt{3}[/tex]
cos ratio of ∡XZW is WZ/XZ which is:
12[tex]\sqrt{3}[/tex] / 24
State if the two triangles are congruent.
Answers
Answer:
The triangles are congruent by HL
Step-by-step explanation:
The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent
We know one leg is equal to the other by the red line. The hypotenuse is the same since it is the same line.
The triangles are congruent by HL
A rectangular room is twice as long as its breadth and its perimeter is 48 m. Find the cost of carpeting its floor at Rs. 75 per sq.m.
Answers
Now we can find the surface area because the length is 2x so we substitute the 8 in and we get the length to be 16, and the breadth to be 8 (because breadth = x and x = 8)
Total area = length x width = 16 x 8 = 128
7x+40
5x+20
Find the value of x.
Answers
Answer:
x = - 10
Step-by-step explanation:
7x + 40 = 5x + 20
7x + 40 - 40 = 5x + 20 - 40
7x = 5x - 20
7x - 5x = 5x - 5x - 20
2x = - 20
2x ÷ 2 = - 20 ÷ 2
x = - 10