ATTENDING TO PRECISION The diagram shows an insect called a walking stick Use the ruler to estimate the length of the abdomen and the length of the thorax to the nearest inch. How much longer is the walking stick's abdomen than its thorax? How many times longer is its abdomen than its thorax?
Answers
Estimation and precision are used when the actual value cannot be easily determined or calculated.
The length of the abdomen is [tex]2\frac 14[/tex] inchesThe length of the thorax is [tex]1\frac 34[/tex] inchesThe abdomen is longer than the thorax [tex]1\frac 27[/tex] timesGiven that, the length is to be measured to the nearest [tex]\frac 14\ inch[/tex], we have the following observations
The length of the abdomen starts at the 0 mark and ends after the 2-mark. The length ends before [tex]2\frac{1}{2}[/tex]. So, the length of the abdomen can be estimated to [tex]2\frac{1}{4}[/tex] --- to the nearest [tex]\frac{1}{4}[/tex].Similarly, the length of the thorax starts at the [tex]2\frac{1}{4}[/tex] mark and ends before [tex]4\frac{1}{4}[/tex]. The end of the thorax length can be estimated to: [tex]4[/tex] --- to the nearest [tex]\frac{1}{4}[/tex].So, we have:
[tex]L_1 = 2\frac 14[/tex] --- the length of the abdomen
[tex]L_2 = 4 - 2\frac 14[/tex]
Express as improper fraction
[tex]L_2 = 4 - \frac{9}{4}[/tex]
Take LCM
[tex]L_2 = \frac{16 - 9}{4}[/tex]
[tex]L_2 = \frac{7}{4}[/tex]
Express as proper fraction
[tex]L_2 = 1\frac{3}{4}[/tex] --- the length of the thorax
The number of times (n) the abdomen is longer than the thorax is calculated as follows:
[tex]n = L_1 \div L_2[/tex]
So, we have:
[tex]n = 2\frac 14 \div 1\frac 34[/tex]
Express as improper fractions
[tex]n = \frac 94 \div \frac 74[/tex]
Rewrite as:
[tex]n = \frac 94 \times \frac 47[/tex]
[tex]n = \frac 97[/tex]
Express as proper fractions
[tex]n = 1\frac 27[/tex]
Hence, the abdomen is [tex]1\frac 27[/tex] times longer than the thorax
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Related Questions
can anyone help me please
Answers
Answer:
fig.1 No, fig.2
Step-by-step explanation:
fig.1 is no because "a" has more than one output therefore it's not a function.
fig. 2 is yes because "a,b,c,d" have different outputs but not more than one
try the rest by yourself. have a good day and remember don't get stressed over the little things
If a line segment AB is on the number line, and the point A is at - 7 and point B is at 12, the length of AB is ____.
Answers
Answer:
Here,
A=-7
B=12
Length of AB=?
Now, We know that,
Length of AB=-7-12
=-19
Thus, the length of AB is -19
fill in the dimensions and angle measures . Are the dashed segments parallel ?
Answers
Answer:
To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.
What is equivalent to -23?
Answers
\sqrt{3^{2} - 4^{2} } CAN YOU SOLVE THIS.
Answers
Answer:
√-7
Step-by-step explanation:
√(3² - 4²)
=> √(9 - 16)
=> √-7
Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?
Answers
If the original ordered pair in a shape was ( 3, 4), what would the new ordered pair be after a Dilation with a scale factor of 2 ?
Answers
Answer:
(6, 8 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates by the scale factor 2, that is
(3, 4 ) → (2(3) , 2(4) ) → (6, 8 )
HELPPPP PLSSS!!! Find the distance between the points (-16, -10) and (6, -10). 20% 16 12 8 4 X -16 -20 -12 -8 -4 4 8 12 20 16 -4 -8 (-16, -10) -12 (6, -10) -16 -20-
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Answer:
10 points away
show me step by step : 22.04 x 9 =
Answers
Answer:
the answer is 198.36
Step-by-step explanation:
i dont know lol sorry
4. HM SENSE-MAKING
A local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amoun and y is the number of massages taken above the planned amount, interpret each expression.
a. 15%
b. 55y
c. 15x + 55y + 20
Answers
Answer:
15x+55y+20
Step-by-step explanation:
mark me brainlest
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amount of $15 and y is the number of massages taken above the planned amount of $55. Then the expression of the total cost of the gym will be
⇒ 15x + 55y + 20
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
More about the Algebra link is given below.
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#SPJ2
Which problem has a sum of 16.52 ?
1.42 + 3.1 + 12 = 16.52
Answers
How is the fear of power reflected
in the Articles of Confederation?
(Posted in math bc nobody answers me in history)
Answers
Answer: It mentions how they fear the authority government, also I believe u meant "Power of fear"
Step-by-step explanation:
Reduce the Fractions 15/9to its Lowest Terms
Answers
[tex]\large\bf{\red{ \implies}} \tt \: \cancel\frac{15}{9} \\ [/tex]
[tex]\large\bf{\red{ \implies}} \tt \: \frac{5}{3} \\ [/tex]
Decimal Form - 1.6667
5 added to a certain number gives a result of -6 . Find that number
Answers
Answer:
- 11
Step-by-step explanation:
let the number be n , then
n + 5 = - 6 ( subtract 5 from both sides )
n = - 11
The number is - 11
Answer: -11
Step-by-step explanation:
Let x be the number
Set equation
x + 5 = -6
Subtract 5 on both sides
x + 5 = -6 - 5
[tex]\boxed{x=-11}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
2,8,18,32,50,72 which term is the sequence is 512?
Answers
Answer:
16
Step-by-step explanation:
2+6=8
8+10=18
18+14=32
6+4=10 10+4=14
an+1=an+(2+4n)
a7=a6+26=72+26=98
a8= a7+30= 98+30=128
a9=a8+34=128+34= 162
a10=a9+38= 162+38=200
a11=a10+42= 242
a12=242+46=288
a13=288+50= 338
a14=338+54= 392
a15=392+58= 450
a16= 450+62=512
The volume for a cylinder is ________, for a cone is _______, and for a sphere is_______
Answers
Here are the formulas
[tex]\boxed{\sf Volume_{(Cylinder)}=\pi r^2h}[/tex]
[tex]\boxed{\sf Volume_{(Cone)}=\dfrac{1}{3}\pi r^2h}[/tex]
[tex]\boxed{\sf Volume_{(Sphere)}=\dfrac{4}{3}\pi r^3}[/tex]
Answer:
The volume for a cylinder is πr2h, for a cone 1/3hπr², and for a sphere is 4/3πr³
Step-by-step explanation:
I hope this will help you
Findi the value of x
Answers
Answer:
By Pythagoras theorem ,
H^2 = P^2 + B^2
H^2 = 4^2 + 3^2
H^2 = 16 + 9
H^2 = 25
H = 5
therefore , value of x = 5
hope that helps uh..☺
Answer:
x = 5
Step-by-step explanation:
Since it's a right triangle, you can use Pythagorean Theorem.
[tex]a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x[/tex]
The difference of F and 5 times G is the same as 25 minus f
Answers
Step-by-step explanation:
(5×G)-F=25-F
I hope it helped U
stay safe stay happy
a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price
Answers
Answer:
40% increase
Step-by-step explanation:
c = final value - initial value
------------------------------------
initial value
112 - 80 = 32
32 / 80 = 0.4
0.4 = 40%
if f(x)= 2(3x²-2x+2). Find:
A) f(x+1)
B) f(3)
C) f(y-2)
Answers
1) substitute the value of x as (x+1)
2) 2(3(x+1)^2 -2(x+1) +2)
3) 6(x^2 + 2x + 1)
4) 6x^2 + 8x + 6
B) f(3) = 46
1) simplify the expression first
2) 6x^2 -4x + 4
3) Now just substitute 3: 6(3)^2 -4(3) + 4
4) 6•9 - 12 + 4 = 46
I hope this helps :)
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answers
Answer:
x = 4
Step-by-step explanation:
[tex]-5(x-1)-x+1=-18\\\\-5x+5-x+1=-18\\\\-6x+6=-18\\\\-6x=-24\\\\x=4[/tex]
Answer:
x = 4
Step-by-step explanation:
-5 ( x - 1 ) -x +1 = -18
solve the brackets first
-5x + 5 - x + 1 = -18
-5x -x +5 +1 = -18
-6x + 6 = -18
-6x = -18 - 6
-6x = -24
x = -24 / -6
x = 4
Estimate 26 to the nearest tenth. Then locate 26 on a number line.
Answers
Answer:
30 is the nearest tenth of 26
Which expression has the same value as –7 4/5 + 5 1/6
5 1/6 - 7 4/5
-7 4/5 - 5 1/6
-5 1/6 + (-7 4/5)
5 1/6 - (-7 4/5)
Answers
Maureen withdrew $20 from her bank account to go to lunch with friends. Later, she
deposited $25 that she made babysitting.
What is the total change in Maureen's bank account relative to where it started?
Answers
Find the perimeter of A(1, 1), B(7, 1), and C(1, 9).
Answers
Answer:
24units.
Step-by-step explanation:
steps are in picture.
If you have any question about it please ask.
Please help by September 7th.
Answers
Answer:
The first of the 3 numbers is 11.
Step-by-step explanation:
Well all three would be 11,12,13 because 11+12+13=36. First number is 11
WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step
Answers
Answer:
1400m^2
Step-by-step explanation:
Let the breadth of the garden be a, therefore the length of the garden is (a+5).
The perimeter of the garden is the sum of all its sides, therefore:
Perimeter = a + a + (a+5) + (a+5) = 150
Simplifying the LHS of the equation:
4a +10 = 150
Subtracting 10 from both sides of the equation:
4a = 140
Dividing both sides by 4:
a = 35 = breadth
Therefore the length of the garden = (a + 5) = 40
Recall that the area of the garden is its length multiplied by its breadth, therefore:
Area = 35*40 = 1400
Answer:
area=1400
Step-by-step explanation:
length(l)=x+5
breadth(b)=x
Perimeter=2(l+b)
150 =2(x+5+x)
150 =2x+10+2x
150-10=4x
140=4x
x=35
therefore breadth=35
length=40
area=l*b
=35*40
=1400
What is the sum of 9.8 and 12.05 please i need help
Answers
There are ‘n’ arithmetic means between 33 and – 3. If second last mean: second mean = 1: 5, find the value of n.
Answers
We know that:
There are n arithmetic means between the numbers 33 and -3
second last mean: second mean = 1:5
Using this, we can find that the value of n is 9.
Now let's see how we need to use the information.
"There are n arithmetic means between the numbers 33 and -3"
This means that we will have a sequence like:
33, a₁, a₂, ..., aₙ, -3
And by the given ratio, we know that:
aₙ₋₂:a₂ = 1:5
Also, because this is an arithmetic sequence we have:
a₁ = 33 + d
a₂ = 33 + d + d
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
Because of the ratio, we will have that:
aₙ₋₂/a₂ = 1/5
We can replace what the left side by:
(-3 - 2*d)/(33 + 2*d) = 1/5
now we can solve this for d.
-3 - 2*d = (33 + 2*d)*(1/5)
5*(-3 - 2*d ) = (33 + 2*d)
-15 - 10d = 33 + 2d
-15 - 33 = 2d + 10d
-48 = 12d
-48/12 = -4 = d
So now we know that the value of d is -4.
Now we can use the equation
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
to find the value of n:
33 + (n - 2)*d = -3 - 2*d
33 + (n - 2)*-4 = -3 - 2*-4
33 - 4n + 8 = -3 + 8
41 - 4n = 5
-4n = 5 - 41 = -36
n = 36/4 = 9
The value of n is 9.
If you want to learn more, you can read:
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Answer:
Step-by-step explanation:
HI. just posted a question can u help me out pleas please
pls hurrryyyyyyy #42 only and show work
Answers
Answer:
x = 70
Step-by-step explanation:
50 + x + 2x + 100 = 360
Combine like terms
3x + 150 = 360
Subtract 150 from both sides
3x = 210
Divide both sides by 3 to isolate x
x = 70
