A car company sells a scale model to of the size of one of its cars.
Complete the following table.
Scale Model
Real Car
2
Area of windscreen (cm)
135
V25
[3]
3
Volume of storage space (cm)
408000
Answer:
[tex]w = 13500[/tex] --- real windscreen
[tex]v = 408[/tex] --- scale volume
Step-by-step explanation:
Given
[tex]k = \frac{1}{10}[/tex] --- scale factor
See attachment
Required
Complete the table
To get the windscreen (w) of the real car, we do the following computation
[tex]w = \frac{w_{scale}}{k^2}[/tex]
This gives:
[tex]w = \frac{135}{(1/10)^2}[/tex]
[tex]w = \frac{135}{1/100}[/tex]
[tex]w = 13500[/tex]
Next, the volume (v) of the scale mode
We make use of the following computation
[tex]v = v_{real} * k^3[/tex]
So, we have:
[tex]v = 408000 * (1/10)^3[/tex]
[tex]v = 408000 * 1/1000[/tex]
[tex]v = 408[/tex]
Add these mixed numbers 4 4/7+3 2/7
Answer:
50/7 or 7 1/7
Step-by-step explanation:
In the triangle below, what is the sine of 60°?
site
60°
2
1
30°
13
ОА.
NI
O B. 2
O c. 1
D. VE
Answer:
[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]
The value of expression sine of 60° is,
⇒ √3 / 2
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle is shown in image.
Now, We know that;
Sin x = Opposite / Hypotenuse
Hence, We get;
⇒ sin 60° = √3 / 2
Thus, The value of expression sine of 60° is,
⇒ √3 / 2
Learn more about the triangle visit;
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What is the slope of the line represented by the equation y = -1/2x + 1/4
Answer:
The slope is -1/2 and the y intercept is 1/4
Step-by-step explanation:
y = -1/2x + 1/4
This equation is in slope intercept form
y = mx+b where m is the slope and the y intercept is b
The slope is -1/2 and the y intercept is 1/4
Helllpppp my teacher is being a chihuahua and won’t help meeeee
Answer:
the constant of proportionality is 9 here as the division of all the numbers leads to the answer 9
Step-by-step explanation:
Answer:
Your constant proportionality is 9 because 2x9=18, 3x9=27, 4x9=36, and 5x9=45.
Step-by-step explanation:
12 Rose and Haydn share £250 in the ratio 2:3
Rose gives all her share of the money to charity.
Haydn gives 42% of his share of the money to charity.
Rose gives more money to charity than Haydn gives to charity.
Work out how much more.
Answer:
Amount = £37
Step-by-step explanation:
Let Rose be represented by R.
Let Haydn be represented by H.
Given the following data;
Total amount = £250
Ratio of R:H = 2:3 = 2 + 3 = 5
To find how much Rose earned;
R = 2/5 * 250
R = 500/5
R = £100.
For Haydn;
H = 3/5 * 250
H = 750/5
H = £150
Next, we calculate the amount Haydn gave to charity;
Percent = 42% = 42/100 = 0.42
H = 0.42 * 150
H = £63
To find how much more Rose gave to charity than Haydn;
Amount = R - H
Amount = 100 - 63
Amount = £37
m∠MNO =____because they are_____ (Fill in the blanks)
Answer:
No answer is possible from the information provided
Step-by-step explanation:
The is no∠MNO in the image.
Answer:
But then there is no < MNO on the diagram
The sum of the interior angle measures of a convex polygon with n sides is given by the expression 180n–360 . Factor the expression.
Answer: 180(n-2)
You use the distribution rule to factor
The distribution rule is a(b+c) = a*b+a*c
3. Given that a is 30% of b, find the value of a/4b
Answer:
a/4b = 0.075
Step-by-step explanation:
a = 30% of b
a = 30/100 × b
a = 0.3b
The value of a/4b is calculated as:
= 0.3b/4b
= 0.075
What is the approximate circumference of a circle that has a diameter of 15 inches?
Answer:
[tex]{ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches[/tex]
Encuentra la solución a los triángulos que cuentan con las siguientes características y represéntalos gráficamente
Answer:
unce de Grenada! Nani de suburban don't listen to me in trying to get points here
somebody help pls im stuck on this one
Answer:
x=77 degrees
Step-by-step explanation:
The angles of a triangle always add to 180 degrees.
26 is already taken up 180-26=154
There are 2 angles left 154/2=77
x=77
what is the effect on the graph of f(x) if it is changed to f(x)+7, f(x+7) or 7f(x)
Answer:
it changed to f(x)+7 because it has an asymptote of 7
Which of the following steps were applied to ABCD to obtain A'B'C'D
Answer:
B. 3 units right and 4 units up
The correct steps were applied to ABCD to obtain A'B'C'D is,
⇒ 3 units right and 4 units up
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
Translation applied to ABCD to obtain A'B'C'D.
Now, We get;
Coordinate of A = (2, 3)
Coordinate of A' = (5, 7) = (2 + 3, 3 + 4)
Hence, The correct steps were applied to ABCD to obtain A'B'C'D is,
⇒ 3 units right and 4 units up
Learn more about the transformation visit:
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Which one could NOT be the probability of an event occuring?
A. 23
B. 3/4
C. 2.3
D. 0
Please help !!!
Answer:
D
Step-by-step explanation:
there is zero chance of it happening
PLEASE HELP LAST QUESTION MATH
9514 1404 393
Answer:
A = 48°B = 115°C = 115°D = 67°E = 48°Step-by-step explanation:
A and the angle marked 48° are vertical angles, hence congruent.
A = 48°
B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.
B = 115°
C is an alternate interior angle with angle B, so is congruent.
C = 115°
D is a vertical angle with the one marked 67°, so is congruent.
D = 67°
E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.
E = 48°
What are the x-intercepts of the graphed function?
(–3, 0) and (0, 1.5)
(–3, 0) and (1,0)
(–1, 2) and (1, 0)
(0, 1.5) and (1, 0)
Answer:
Step-by-step explanation:
d
Answer:
D
Step-by-step explanation:
Which of the following is an irrational number? OA. 67 OB. 564 OC. 19 9 OD. 1.9
Answer:
D. 1.9
Step-by-step explanation:
An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.
Lola's salary is $40,000 plus a 2% commission on all sales. The rate of change for her salary is a constant rate.
True
False
Answer:
False
Step-by-step explanation:
Which expression is the radical form of x^4/5?
Answer:
The picture is the answer
Step-by-step explanation:
what is the value of x
2/3x -32=35
Answer:
To find the value of x we need to simplify this.
The steps to simplifying are simple.
We need to take away, add and do a lot to a bunch of stuff, until we receive our answer.
___________________________
Let's continue.
___________________________
Alright, let's go ahead and show our steps.
[tex]\mathrm{Multiply\:both\:sides\:by\:}3x-32[/tex]
[tex]\frac{2}{3x-32}\left(3x-32\right)=35\left(3x-32\right)[/tex]
_____________________
[tex]Simplify = \\2=35\left(3x-32\right)[/tex]
_____________________
[tex]\mathrm{Switch\:sides}\\35\left(3x-32\right)=2[/tex]
_____________________
[tex]\mathrm{Divide\:both\:sides\:by\:}35\\\frac{35\left(3x-32\right)}{35}=\frac{2}{35}[/tex]
_____________________
[tex]\mathrm{Simplify}\\3x-32=\frac{2}{35}[/tex]
_____________________
[tex]\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{1122}{35}}{3}[/tex]
_____________________
[tex]Simplify = \\x=\frac{374}{35}[/tex]
_____________________
Therefore, the answer is x = 374/35
find AD and AB
hhjhh
Answer:
y = 13
x = 20.6155281281
Step-by-step explanation:
5^2 + 12^2 = y^2
25 + 144 = y^2
169 = y^2
[tex]\sqrt{169}[/tex] = y
y = 13
y^2 + 16^2 = x^2
13^2 + 16^2 = x^2
425 = x^2
20.6155281281 = x
Hope this helps!
simple Answer:
y = √(119)
x = √(375)
Step-by-step explanation:
harder answer:
12^2 - 5^2 = y^2
y = √(119)
16^2+ √(119) = 375
x = √(375)
4. Un granjero tiene 57 puercos, que representan el 8 % del total de sus puercos. ¿Cuántos puercos tiene en total?
Answer:
713 puercos
Step-by-step explanation:
Sea T el número total de puercos
Número de cerdos = 57
Porcentaje = 8%
Para encontrar el número total de puercos;
Porcentaje = 8/100 * T = 57
8T/100 = 57
8T = 5700
T = 5700/8
T = 712,5 ≈ 713 puercos
Por lo tanto, el granjero tiene 713 puercos en total.
PLEASE HELP, and dont forget to show work!
x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.
Answer:
Vertex: (1, 6)
Axis of symmetry: x = 1
Step-by-step explanation:
Write an algebraic equation to represent the following problem:
Five friends went out to dinner. Each one of them left an $18 dollar tip and they also split the $148 bill evenly. How much did each person pay for dinner?
PLS I NEED THIS!! I'll give brainiest if correct!!!!!!
Answer:
$47.60
Step-by-step explanation:
[tex]18+\frac{148}{5} =47.60[/tex] ($)
factorise using suitable identities
x^2 (y+z)^2
Answer:
Step-by-step explanation:
[tex]x^2 ( y +z)^2 = x^2 (y+z)(y+z)[/tex] [tex][ \ (a+b)^2 = (a+b)(a+b) \ ][/tex]
[tex]x^2 - ( y +z)^2 = (x - ( y +z)) (x + (y+z))[/tex] [tex][ \ a^2 - b^2 = (a-b)(a+b) \ ][/tex]
[tex]=(x-y-z)(x+y+z)[/tex]
Describe fully the single transformation that mata tange onto anges
3
2
1
4
5320
4
2
-4
Answer:
mee.com/pbj-kbyh-bzm
join it fast
PLSSS HELP!!!!!!!!! 20 POINTSSSSS!!!!!!!!!
In right ∆ABC the altitude CH to the hypotenuse AB intersects angle bisector
AL in point D. Find BC if AD = 8 cm and DH = 4 cm.PLS EXPLAIN SO THAT A CHILD CAN UNDERSTAND.
I need help please and thank you!!!
Answer:
Area: 288 m^2
Step-by-step explanation:
First find the area of the big rectangle:
A= L•W
A= 24 • 12
Area = 288 meters squared
So this is the area of the shaded one heh heh…
Hope this helps, have a great summer!