Answer:
1.5
Step-by-step explanation:
4x2=8
2-1boz
1- .5 of a boz
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side
Two figures are shown below.
Which of the following statements correctly explains whether or not the two figures are congruent?
The two figures are congruent since there is a reflection that carries one figure onto the other.
O The two figures are congruent since there is a rotation that carries one figure onto the other.
O The two figures are not congruent since the two figures are oriented differently.
O The two figures are not congruent since there is no translation that carries one figure onto the other.
Answer: B
Step-by-step explanation:
The 2 figures given would be congruent since there seems to be a reflection that carries 1 figure onto the another one. A further explanation is below.
If somehow the matching sides of two components or figures have been of similar length and form, they are said to be congruent. They constitute congruent when one image or graphic entirely encompasses some other figure (both with and without rotations skills).Whenever we turn or twist the above diagram clockwise by something like 90° ∠, it becomes exactly like the ones below.
Thus the answer above i.e., "Option 1" is appropriate.
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ASAP pls help need help
Answer:
one point five hundred sixteen thousandths
Step-by-step explanation:
which expression is equivalent to 45a-10b
A: 5(9a-10b)
B: 45(a-10b)
C: 5(9a+2b)
D: 5(9a-2b)
Answer:
D: 5(9a-2b)
Step-by-step explanation:
Each expression in the choices is factored, so we need to see how to factor the given expression.
To factor the given expression, you need to factor out the greatest common factor of both terms.
The terms are 45a and -10b.
The GCF of 45 and -10 is 5.
The GCF of a and b is 1. There is no common factor other than 1.
The GCF of the 2 terms is 5, so we factor out a 5.
45a - 10b = 5(9a - 2b)
Answer: D: 5(9a-2b)
PLEASE HELP ME WITH THIS
Answer:
C.
Step-by-step explanation:
So we have the equation:
\(y=\sqrt{x-3}\)
This is a square root equation.
For square root equations, the radicand(s) must be positive.
Therefore, to find the domain, set the radicand to be greater than or equal to 0:
\(x-3\geq 0\)
Solve for x. Add 3 to both sides:
\(x\geq 3\)
Therefore, our domain must be greater than or equal to 3.
In set notation, this is:
\(\{x:x\geq 3\}\)
Therefore, our answer is C.
All we need to do is solve for the 0 of the function.
Solution:
0 = √x-3
0^2 = x - 3
0 = x - 3
3 = x
The domain is greater than or equal to 3 and this can be written as x ≥ 3 or in other words, Option 3.
Best of Luck!
a)
2 3 3 2 1 A : 3
5 5 5 3 2
b)
5 1 7 B 2 :1
6 5 12
c)
3 4 3 C 15 3 8
13 7 13
d)
13 1 1 11 D 15 6 :11 2 :1
18 27 8 40
e) E = (-3,2).
15 4 2 0,8 2 :3
64 15 3
f)
7 4 7 7 7 F . . 5
9 11 9 11 9
g) G = 50% .
1 7 1 .10. .0,75
3 35
h)
2 3
2 1 2 I 5 4,5 2
5 2 4
2 3 5 2
k)K 0,25: . 2
3 4 8
2 2
3
2
o
1 1 1 4 1 3 1 1 4 5 5 l) N : 2 m)M 6 2 .3 1 : n)O 2 . 1 :
2 4 2 5 8 8 4 4 3 6 12
1 1 1 1 1 5 p)P 3 2 : 4 5 2 q)Q 125%. : 1 1,5 2002
3 4 6 4 2 16
s) (-5,6).(-42,2) + (-57,8). (-5,6) t) (2,6.3 – 2,6.5): (0,121 + 1,879)
Answer:
the circumference of wheel is 880cm calculate the diametery = -4x - 24
y + 2x = 8
How would I solve by substitution step by step?
Answer:
x=-16
y=40
Step-by-step explanation:
y=-4x-24
y+2x=8
its the same y. Use substitution
(-4x-24)+2x=8
-2x-24=8
-2x=32
x=-16
We found x!
substitute x in either equation
y+2x=8
y+2(-16)=8
y-32=8
y=40
Answer: (-16, 40)
Step-by-step explanation: Using substitution, you can but the first y=-4x-24 into the second equation y+2x=8. So, you take what y is (which is -4x-24) and substitute it for the second y in the equation y+2x=8.
Your equation should now look like this (-4x-24) + 2x = 8.
You can then solve -4x -24 +2x =8. Combine like-terms (-4x+2x) to get -2x-24=8. Then use inverse operations and add 24 from both sides (so from the -2x-24 side and 8 side). This will then give you -2x=32. divide both sides from -2x to get:
x = -16
Then, plug in x= -16 into the first equation (y= -4 (-16) - 24). Then use PEMDAS and multiply -4 and -16 to get +64. Subtract 24 to get:
y = 40
Suppose a researcher wants to use a confidence interval to estimate an unknown population proportion p. Which of the following is not a correct statement?
Answer choices:
A. The endpoints of the interval can vary with each new sample.
B. The probability that p is in the interval is equal to the level of confidence for the interval.
C. Whether the interval captures p is not known with certainty.
D. The population proportion p is fixed, but the sample proportion pˆ can vary from sample to sample.
E. The interval either does or does not capture p.
Using probability the correct option is B)The probability that p is in the interval is equal to the level of confidence for the interval.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject because it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
The probability that p is in the interval is equal to the level of confidence for the interval.
Reason -
There is a 95% probability that the interval between X [lower bound] and Y [upper bound] contains the true value of the population parameter. The statement above is the most common misconception about confidence interval. After the statistical interval is calculated, the interval can only either contain the population parameter or not.
Hence the correct option is B) The probability that p is in the interval is equal to the level of confidence for the interval.
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Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
In circle N with � ∠ � � � = 12 4 ∘ m∠MNP=124 ∘ and � � = 13 MN=13, find the area of sector MNP. Round to the nearest hundredth.
If circle with center N with m∠MNP=124 ∘ and MN=13, the area of sector MNP is approximately equal to 194.86 square units.
To find the area of a sector of a circle, we need to use the formula:
Area of sector = (central angle/360°) x πr²
Where r is the radius of the circle.
In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:
Area of sector = (124/360) x π(13)²
Area of sector ≈ 194.86
Therefore, the area of sector MNP is approximately equal to 194.86 square units.
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Select the geometric figure that fits the following description.
the collection of all points that are equidistant from a given point
Choice D is correct
Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.
Find the center of the mass of a thin plate of constant density covering the region bounded by the x-axis and the curve y=3cosx, -pi/3 <= x <= pi/3
The y-coordinate of center of mass is 1.2819 kg.
Describe Center of mass?The center of mass, also known as the center of gravity, is a point in a system of objects where the total mass of the objects is concentrated. It represents the balance point of the system and is the point at which the system would balance if it were suspended from that point. The position of the center of mass is dependent on the distribution of mass in the objects making up the system.
The centre of mass of region R is given by
\($\mathrm{\bar{y}=\frac{\int_{R}\rho y_{e}dA}{Mass_{regionR}} \ \ where \ y_{e} \ center \ of \ mass \ of \ element}\)
For the vertical element,
\(\mathrm{y_{e}=\dfrac{y}{2}}\)
Find the numerator of the y coordinate of Center of Mass
\($\mathrm{\frac{1}{2}\int_{R}\rho yydx=\frac{\rho}{2} \int_{\frac{-\pi}{3}}^{\frac{\pi}{3}} (3cosx)^2dx=\frac{9\rho}{2} \int_{\frac{-\pi}{3}}^{\frac{\pi}{3}} cos^2xdx=\frac{9\rho}{2} \int_{\frac{-\pi}{3}}^{\frac{\pi}{3}} (\frac{1+cos(2x)}{2})dx}\)
\($\mathrn{\frac{9\rho}{4} \int_{\frac{-\pi}{3}}^{\frac{\pi}{3}} (1+cos(2x))dx=\frac{9\rho}{4} [x+\frac{sin(2x)}{2}]_{\frac{-\pi}{3}}^{\frac{\pi}{3}}}\)
\($\mathrm{\frac{9\rho}{4} \left[\frac{\pi}{3}+\frac{sin(2(\frac{\pi}{3}))}{2}\right ]-\frac{9\rho}{4} \left[\frac{-\pi}{3}+\frac{sin(2(\frac{-\pi}{3}))}{2}\right ]}\)
\($\mathrn{\frac{9\rho}{4} \left[\frac{\pi}{3}+\frac{\sqrt{3}}{4}\right ]-\frac{9\rho}{4} \left[\frac{-\pi}{3}-\frac{\sqrt{3}}{4}\right ]=\frac{9\rho }{4} \left[\frac{2\pi}{3}+\frac{\sqrt{3}}{2}\right ]}\)
Therefore, the y-coordinate of center of mass is
\($\mathrm{\bar{y}=\frac{\dfrac{9\rho }{4}\left [\dfrac{2\pi}{3}+\dfrac{\sqrt{3}}{2}\right ]}{3\rho \sqrt{3}}=\frac{\sqrt{3}}{4}\left [\frac{2\pi}{3}+\frac{\sqrt{3}}{2}\right ]=\frac{3}{8}+\frac{\sqrt{3}\pi}{6}=1.2819}\)
Thus, The y-coordinate of center of mass is 1.2819 kg
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The center of mass of a thin plate of constant density is determined by its area and the distribution of its mass.
How will you find the center of the mass?To find the center of mass of this plate, we first need to calculate its area. We can do this by using the formula for the area of a region bounded by the x-axis and a curve y=f(x):
A = ∫\(a^{b}\) ydx = ∫-pi/3^pi/3 3cosx dx
A = 3∫-pi/3^pi/3cosx dx
A = 3(sin(pi/3) - sin(-pi/3))
A = 3(sin(pi/3) + sin(pi/3))
A = 6sin(pi/3)
A = 6*(1/2)
A = 3
Now that we know the area of the plate, we can calculate its center of mass. To do this, we need to use the formula for the center of mass of a region bounded by the x-axis and a curve y=f(x):
xcm = 1/A ∫\(a^{b}\) xydx
xcm = 1/3 ∫-pi/3^pi/3 x(3cosx) dx
xcm = 1/3 ∫-pi/3^pi/3 3xcosx dx
xcm = 1/3(3(sin(pi/3) - sin(-pi/3)) - 3xsin(pi/3) + 3xsin(-pi/3))
xcm = 1/3(6sin(pi/3) - 3pi/3sin(pi/3) + 3(-pi/3)sin(-pi/3))
xcm = 1/3(6sin(pi/3) - 3pi/3sin(pi/3) + 3pi/3sin(pi/3))
xcm = 0
Therefore, the center of mass of the plate is located at (0, 0).
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What coordinate expression represents the coordinates of any point after dilation by a scale factor of 2
Answer: (x,y) → (2x,2y) .
Step-by-step explanation:
A dilation is a transformation that changes the size of the image. It either shrink or enlarge a shape by using a scale factor about a center of dilation.If we transform point (x,y) by using dilation with scale factor k (assume center of dilation at (0,0) then the coordinate of the image will be (kx,ky).
So, the coordinate expression represents the coordinates of any point after dilation by a scale factor of 2:
(x,y) → (2x,2y) .
Answer:
When figure ABCD is dilated by a scale factor of 2, the coordinates of all the points in the dilated figure are multiplied by 2. If (x, y) is any point on the original figure that gets dilated by a scale factor of 2, then the expression that represents the coordinates of this point in the dilated figure is given by (2x, 2y)
Step-by-step explanation:
Dan is 2 times the age of Thomas the sum of ages is 75 what is thomas age
Answer:
25
Step-by-step explanation:
thomas age = x
2x + x = 75
3x = 75
x = 25
Answer: Dan is 50, Thomas is 25
Step-by-step explanation: 75 divided by 3 = 25. 75 - 25 is 50
\(2 \frac{2}{3} + 3 \frac{1}{3} + 1 \frac{2}{3} \)
aaaaaaaaaadddddddd
~nightmare5474~
\(2\frac{2}{3} + 3\frac{1}{3} + 1\frac{2}{3} = 7\frac{2}{3} \)
let's convert each mixed fraction into improper fractions. Therefore,
What are Improper fractions:Improper fractions are fractions that has the numerator bigger than the denominator.
\(2\frac{2}{3} = \frac{8}{3} \)
\(3\frac{1}{3} = \frac{10}{3} \)
\(1\frac{2}{3} = \frac{5}{3} \)
Therefore,
\(\frac{8}{3} + \frac{10}{3} + \frac{5}{3} \)
\( \frac{8}{3} + \frac{10}{3} + \frac{5}{3} = \frac{8 + 10 + 5}{3} = \frac{23}{3} \)
Let's convert our answer back to mixed fractions
\(\frac{23}{3} = 7\frac{2}{3} \)
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Use the account statement above to answer the questions that follow. 1.1 Explain the meaning of the negative sign in the balance brought forward in this Statement. (2) (2) (2) (2) 1.2 What is the reason why some digits from the account number have been left out? 1.3 Determine the salary amount, A, paid into Ms Lerato's account on 21/02 2022. 1.4 Calculate the total bank fees charged in March 2022. The bank uses the formula below to calculate the withdrawal fees from the ATM. ATM withdrawal fee = R2,50 + R0,90 per R100 or part thereof. Verify, using the formula if the correct withdrawal fee was charged on 10/03/2022. (3) 1.5 At the end of March, the fixed monthly fee increased from R100,88 to R108,10.By what percentage did the fee increase? Give your answer to 1 decimal place. (3) [14]
1.1 The negative sign in the balance brought forward indicates that the account had an overdraft or negative balance at the beginning of the statement period. 1.2 The reason why some digits from the account number have been left out could be for security and privacy purposes.
Answers to the questions1.1 The negative sign in the balance brought forward indicates that the account had an overdraft or negative balance at the beginning of the statement period. It means that the account holder owed money to the bank.
1.2 The reason why some digits from the account number have been left out could be for security and privacy purposes. By omitting certain digits, the statement provides enough information to identify the account without revealing the complete account number, reducing the risk of unauthorized access or identity theft.
1.3 To determine the salary amount, A, paid into Ms. Lerato's account on 21/02/2022, we need to look for a credit transaction on that date. The statement does not provide specific transaction details, so it would be necessary to refer to the transaction history or contact the bank for the exact amount.
1.4 To calculate the total bank fees charged in March 2022, we need to add up all the bank fee charges listed in the statement for that month.
1.5 To calculate the percentage increase in the fixed monthly fee, we can use the following formula:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Percentage Increase = ((108.10 - 100.88) / 100.88) * 100
Percentage Increase ≈ 7.19% (rounded to 1 decimal place)
Therefore, the fee increased by approximately 7.19%.
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Which inequality has the solution shown below?
0.3x+8 <3
0.2x+5>2
←++
-18 -17 -16 -15 -14 -13 -12
0.4x +7<1
0.52+6>3
If one side of a right triangle is 5 and the other is 12 what is the length of the hypotenuse.
Let us sketch out the triangle,
To solve for the unknown length, we will adopt the method of Pythagoras theorem,
\(\begin{gathered} \text{Pythagoras theorem,} \\ x^2=y^2+z^2 \end{gathered}\)\(\begin{gathered} \text{where x=?} \\ y=12 \\ z=5 \end{gathered}\)\(\begin{gathered} x^2=12^2+5^2 \\ x^2=144+25 \end{gathered}\)\(\begin{gathered} x=\sqrt[]{169} \\ x=13 \\ \text{Hence, the length of the hypotenuse is 13 units.} \end{gathered}\)Hence, the length of the hypotenuse is 13units.
question is in png pls help me
Answer:
30 is the answer
Step-by-step explanation:
i hope it help you
Answer:
30 is the correct answer
hope it helps u dear ❤
two vectors a and b are inclined at a angle of 60° with each other. its resultant makes angle of 45° with a and value of resultant is 2 sqrt 2 . find the component
Answer:
\(\blue{\rule{100pt}{999999pt}}\) \(\blue{\rule{100pt}{999999pt}}\)
BLANK% of 50 shirts is 2 shirts.
Answer:
4%
Step-by-step explanation:
2/50 is 4....I believe.
Can you please solve?
Answer:
19 and - 8
Step-by-step explanation:
( u ○ w )(3)
evaluate w(3) then substitute the value obtained into u(x)
w(3) = - 2(3)² = - 2(9) = - 2 × 9 = - 18 , then
u(- 18) = - (- 18) + 1 = 18 + 1 = 19
-----------------------------------------------
( w ○ u )(3)
evaluate u(3) then substitute the value obtained into w(x)
u(3) = - 3 + 1 = - 2 , then
w(- 2) = - 2(- 2)² = - 2(4) = - 2 × 5 = - 8
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
1. Jon waits on tables and is paid $6.75an hour. In a 40-hour period, he earned $310.50 in tips. What were his total earnings?
Answer:
$617.25
Step-by-step explanation:
$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25
Answer:$580.50
Step-by-step explanation:
:)
(1 point) The volume of the solid obtained by rotating the region enclosed by x=2y,y3=x(with y≥0) about the y-axis can be computed using the method of disks or washers via an integral V=∫ba ? with limits of integration a= and b= . The volume is V= cubic units. Note: You can earn full credit if the last question is correct and all other questions are either blank or correct.
\(x=2y\) and \(x=y^3\) intersect when
\(2y=y^3\implies y^3-2y=y(y^2-2)=y(y-\sqrt2)(y+\sqrt2)=0\)
\(\implies y=0\text{ or }y=\sqrt2\text{ or }y=-\sqrt2\)
We omit the negative root, since we only care for \(y\ge0\).
In the interval (0, √2), we have \(y^3<2y\). Then the volume is given by the integral
\(\displaystyle\pi\int_0^{\sqrt2}(2y)^2-(y^3)^2\,\mathrm dy=\pi\int_0^{\sqrt2}4y^2-y^6\,\mathrm dy\)
and so the volume is (32√2)/21 π.
If the average of 7 positive integers is 100, find the highest possible value of the largest number.
PLS ANSWER QUICKLY FOR THE SAKE OF THE GOD!!!1
Answer:
Step-by-step explanation:
9. Kyoko plans to put a new wood floor in her den, which is shown in the floor plan.
a. What is the area of the floor?
b. At a cost of $11 per square foot, how much will it
cost to put down the new floor?
c. Kyoko plans to put a rectangular area rug in the
room. The rug will be large enough so that only
a 2-foot wide section of the wood floor will be
exposed on each side. Find the dimensions of the
area rug.
d. What is the area of the area rug?
Den
17 ft x 14.5 ft
e. Find the area of the wood floor that will be exposed once the area rug is laid down.
a.) The area of the floor = 246.5ft²
b.) The amount that it will cost to put down the new floor would be = $2,711.5
C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.
d.) The area of the area rug would be = 388.5ft²
How to calculate the area of the floor?For question a.)
The floor has a rectangular shape. The area of a rectangle = length×width
area of the floor= 17×14.5
= 246.5ft²
For question b.)
For a square foot(1ft²) = $11
246.5ft² = 246.5×11 = $2,711.5
For question c.)
Since the rug will be extended by 2ft at each side, the new dimensions would be:
length = 2+2+17 = 21ft
width = 2+2+14.5 = 18.5ft
For question d.)
The area of the floor with the new dimensions = 21×18.5 = 388.5ft²
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An article claims that the distribution of eye color is 79% brown, 8% blue, 5% hazel, 5% amber, 2% green, and 1% other. A random sample of 500 adults were selected and 55 had blue eyes. (a) Construct and interpret a 90 percent confidence interval for the proportion of adults that have blue eyes. (b) Use your confidence interval in part (a) to comment on the belief that 8 percent of people have blue eyes.
a) The 90% confidence interval for the proportion of adults that have blue eyes is given as follows: (0.087, 0.133).
b) As the interval does not contain 0.08, the belief that 8% of people have blue eyes is misguided.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 9%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so the critical value is z = 1.645.
The parameters for this problem are given as follows:
\(n = 500, \pi = \frac{55}{500} = 0.11\)
The lower bound of the interval is given as follows:
0.11 - 1.645 x sqrt(0.11 x 0.89/500) = 0.087.
The upper bound of the interval is given as follows:
0.11 + 1.645 x sqrt(0.11 x 0.89/500) = 0.133.
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Help finish!! ASAP THANKS! brainliest give!
Answer:
Step-by-step explanation:
Answer:
B. 70.2 mm³
Step-by-step explanation:
The solid figure shown is a triangular prism of dimensions 3 x 9.7 x 7.2
The volume of a triangular prism as shown is half the volume of a rectangular prism of the same dimensions
Volume of a rectangular prism = h x l x w
Volume of a triangular prism = h x l x w/2
where h = height of the prism
l, w are the dimensions of the base
we are given
l = 7.2 and w = 3 both in mm
We have to calculate the height
The diagonal of the prism (9.7 mm) and the length of the base(7.2 mm) form a right triangle with the height h as the other side of the triangle
We can use the Pythagorean theorem to compute h
9.7² = 7.2² + h²
h² = 9.7² - 7.2²
= 42.25 mm²
h = √42.25 = 6.5 mm
So volume of the triangular prism
= (3 x 6.5 x 7.2 )/2
= 140.4/2
= 70.2 mm³
This would be option B
Which is the most accurate measurement of 1 mile? (Remember, there are5280 feet in a mile.)A. 5500.89 feetB. 5350 feetC. 5290 feetD. 5000 feet
Most accurate measurement or we can say round off the value 5280 feet is 5000 feet.
The correct option is (D)