Given:
Length of the building = 120 feet
Width of the building = 40 feet
Length of the model = 6 feet
To find:
Width of the model.
Solution:
The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.
Let x be the width of the building.
[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]
[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]
[tex]20=\dfrac{40}{x}[/tex]
[tex]x=\dfrac{40}{20}[/tex]
[tex]x=2[/tex]
Therefore, the width of the model is 2 feet.
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Answer:
The answer to your question would be...
D. $8.15
Answer:
D. 8.15
Step-by-step explanation:
8.25 times 10 = 82.5
82.5-6.5=76
76+5.5=81.5
81.5/10=8.15
Help me please aahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
pls help help help help help help
Answer:
-89
Step-by-step explanation:
-89
-89= 10(-7) - 19 -----------> -70 - 19
PLEASEE HELP ME FAST
Answer:
Step-by-step explanation:
2/3 ÷ 1/3
=2/3 × 3/1 (recipracol)
=6/3
=2
Answer:
2 and [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
when you divide by a fraction you just multiply by its reciprocal
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3} * \frac{3}{1}[/tex]
then just solve
[tex]\frac{6}{3}=2[/tex]
for the second one do the same thing
[tex]\frac{4}{5} * \frac{2}{1} =\frac{8}{5}[/tex]
Which of the following is a rational number? square root 97square root 98, square root 99, square root 100 square root 97 square root 98 square root 99 square root 100
Answer:
100 feet
Step-by-step explanation:
I did the test hope it helps a lot have a good day
Does this table show a proportional relationship? If so, what is the constant of proportionality? If not, explain.
Answer:
Yes it does
Step-by-step explanation:
This table has a proportion of 4 since from the weeks and height are times by 4
Example from the table:
Week two has a height of 8 since 2 times 4 is 8
a+b=8
3a - 45=3
And is it good for the elimination method
Answer: a is 16, b is -8
Step-by-step explanation:
3a-45=3
add 45 to both sides to get rid of -45
3a=48
divide both sides by 3
a = 16
plug 16 into the first equation
16 + b = 8
subtract 16 from both sides
b = -8
is it good for the elimination method? hmm i probably wouldn't use it in this case since there aren't any variables to cancel out.
The measures of the exterior angles of a hexagon are x°x°, 2x°2x°, 5x°5x°, 6x°6x°, 7x°7x°, and 9x°9x°. Solve for x.
Answer:
x = 12°
Step-by-step explanation:
The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.
The sum of the exterior angles of a polygon sums up to 360
An hexagon is a 6 - sided polygon
(x + 2x + 5x + 6x + 7x + 9x) = 360
30x = 360
Divide both sides by 30
x = 360 / 30
x = 12
Hence, x = 12°
I need help on this I’ll report if a link
Answer:
72.5°
Step-by-step explanation:
180° is a straight line. Subtract 35° from 180°, you get 145°, now divide 145° by 2, you will get 72.5°.
Hope this helped.
The sum of all angles is 360
we have one angle given which is 35 degrees the angle infront of it is also the same as opposite angles are always equal
so x= 35
for y as said earlier opposite angels are equal so the empty 2 angles are also y
so now we have
[tex]4y+35+35=360\\4y+70=360\\4y=290\\y= 72.5[/tex]
so y=72.5 degrees
What is an equation of the line that passes through the points (-4,-2)
and (8,1)?
Answer:
y=0.25x-1
Step-by-step explanation:
y=mx+b
slope = 0.25
y = 0.25x+b
the y intercept = -1
y = 0.25x+-1
y = 0.25x-1
Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?
Answer:
Yes, he can buy it for $350 or less
Step-by-step explanation:
330.00 x 4.5%
330.00 x 0.045 = 14.85
330.00 + 14.85 = 344.85
or
330.00 x 1.045 = 344.85
You have $5.60 to buy avocados for a guacamole recipe. Avocados cost $1.40 each.
Answer:
You could buy 4 avacodos with how much money you have :)
You can buy 4 avocados
Plz help me solve and show your work.
Hi there!
[tex]\large\boxed{h = \frac{15x}{y}}[/tex]
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
[tex]h = \frac{15x}{y}[/tex]
GIVING BRAINLIEST!!!!!
What type of triangle is shown in the image?
Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle
Answer:
Well wheres the image?
Step-by-step explanation:
Answer:
Obtuse triangle
Step-by-step explanation:
Someone said so
ill give brainliest
Length = 11
Width = 4
Height = 7
What is the vloume?
What is the surface area?
Answer:
volume = 308 units^3
surface area = 298 units^2
a number increased by 8 is 21 help
Answer:
the number is 13
Step-by-step explanation:
13+8=21
Answer:I think it means that a number plus 8 is 21? or possibly multiplied?
Step-by-step explanation:
In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?
Answer:
120 gold is in the alloy
Step-by-step explanation:
G:S
6:4
6+4=10
200/10=20
20*6=120
Hope this helps!
Can any of these get round to the Nearest tenth
Answer:
They both can First=1,885 second=628.3
Step-by-step explanation:
Answer:
Yes, I belive so. For the first one (1.884.95592), you have to round them starting with the lowest place number and work your way up.
Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?
Answer:
470.81 or 470.815
Step-by-step explanation:
Which fraction is equivalent to 3/8
Answer:
6/16
Step-by-step explanation:
3/8 x 2 = 6/16
A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?
Answer:
18.86 m
Step-by-step explanation:
From the given question, both covers the same distance of the straight line segment.
For the inner lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 30 x [tex]\frac{22}{7}[/tex]
= 94.2857
So that,
the total length for the two halves of the inner lane = 2 x 94.2857
= 188.5714 m
For the outer lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 33 x [tex]\frac{22}{7}[/tex]
= 103.7143
The total length for the two halves of the outer lane = 2 x 103.7143
= 207.4286 m
The difference between the two = 207.4286 - 188.5714
= 18.8572 m
Therefore, Devin would run 18.86 m more to complete one lap.
help pppppppppp
don’t mind harry potter and coco melon
Answer:
It is the forth one
Step-by-step explanation:
to long to explain
Answer:
Step-by-step explanation:
Number 4
is
5x^2y^3z^5
a polynomial
explain
Answer:
no
Step-by-step explanation:
A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.
232.7449 rounded to the nearest whole number? please help
Answer:
233
Step-by-step explanation:
Look at the tenths place. It is above 5 so you round to 233,
Answer:
233
Step-by-step explanation:
Simple, 7 is closer to 10 than 0, round up to 233.
Which set of ordered pairs represents y as a function of x?
O {(1,5), (2,5), (3,4), (1,4)}
O {(7,8), 6,2), (3,2), (6,7)}
{(0,9), (2,8), (3,5), (1,8)}
o {(7,3), (2,6), (1,4), (2,8)}
Answer:
(2,8), (3,5),
Step-by-step explanation:
23 points!!!!!!
If the first 2 sides of a triangle are 6 cm and 4 cm, which of the following are possibilities for the other side? Choose all that apply.
2.5 cm
2 cm
1 cm
4 cm
Answer:
2.5cm and 4cmStep-by-step explanation:
According to Triangle Inequality Property:
Measurement of any two sides of the triangle should be greater than the third side
So,
For 2.5,
6 + 4 = 10 > 2.5
4 + 2.5 = 6.5 > 6
6 + 2.5 = 8.5 > 4
For 4,
6 + 4 = 10 > 4
4 + 6 = 10 > 4
4 + 4 = 8 > 6
While for 1 and 2,
4 + 1 = 5 < 6
and
4 + 2 = 6 = 6
Hence,
Only 2.5 and 4 are the possible measurements.
Plsss help will mark brainliest
Answer:
27. 18.62
28. 200%
29. 136
30. 50
31. 12.5%
32. 750
33. 5.4
Step-by-step explanation:
if y=27 when x= 8 find y when x =11
Answer:
37 1/8
Step-by-step explanation:
The problem probably assumes direct variation
y=kx
IF so, then plug in the values and solve for k
27=k(8)
k = 27/8
y= (27/8)x. Now let x = 11
y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8
y = 37 1/8
the problem is making some assumption about the relation between x and y. The simplest assumption that's likely is direct variation, that x and y are linearly related. The graph is a straight line through the origin with slope = 27/8
please help with this question?!?
Answer:
416 mi
Step-by-step explanation:
In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.
Remember to find the area it is length x width
9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottomLastly for the last 2 squares to find the area you multiply 8 x 8 = 64In total, you will add 72+72+72+72+64+64 which equals 416Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar? (4 points)
Answer:
24 pints
Step-by-step explanation:
128 ounces · 3 = 384 ounces
384/16 = 24 pints
Answer:
There are 16 ounces in a pint. 128 ounces will then be 128/16, or 8 pints. If you use three of the 128 ounces, or 8 pints, you can multiply the 8 by 3, giving 24 pints.
Step-by-step explanation: