Answers
a = sqrt(3v/8) which is the first choice
Explanation:
The volume of the right square pyramid is calculated using the following rule:
V = (1/3)*h*a^2 where:
V is the volume
a is the length of the base
h is the height
We are given that the height = 8 in and volume = v, this means that:
v = (1/3)*8*a^2 = (8/3)*a^2
Now, we will solve this equation for a as follows:
v = (8/3)*a^2
3v = 8a^2
3v/8 = a^2
a = sqrt(3v/8) which is the first choice
Hope this helps :)
Related Questions
The table shows the number of grapes eaten over several minutes.
X I Y
1 15
2 30
3 45
4 60
What is the rate of change for the function on the table?
Answers
For this case we have that the corresponding line is_
y = 15x
The slope of the line in this case is
m = 15
answer:
the rate of change for the function on the table is
15 grapes eaten/minutes
I will give you brainliest.
simplify the ratio 120 cm / 1 m.
A 1 / 1
B 2/1
C 5 / 6
D 6 / 5
Answers
Because 1m = 100cm
When divided gives 6/5 or 1.2
Please Help the First Answer Will Get Brainliest!!!!!!!!
Question 1 <> Aka <> First Picture
What is the area of this triangle? A = bh/2
A > 24 in²B > 30 in²C > 48 in²D > 96 in²
Question 2 <> Aka <> Second Picture
A company logo is made up of a square and three identical triangles.
What is the area of the logo?
Enter your answer in the box. _________
Question 3 <> Aka <> Third Picture
The figure is made up of 2 rectangles and 2 right triangles.
What is the area of the figure?
A > 173 units^2
B > 253 units^2
C > 277 units^2
D > 325 units^2
Answers
QUESTION 1
The area of a triangle is given by
[tex]Area=\frac{1}{2}\times base\times heigth[/tex]
The length of the base of the triangle is [tex]6\:in.[/tex] and the vertical height is [tex]8\:in.[/tex].
We substitute these values into the formula to obtain,
[tex]Area=\frac{1}{2}\times 6\times 8[/tex]
[tex]Area=3\times 8[/tex]
[tex]Area=24\:in^2[/tex]
The area of the triangle is 24 square inches.
The correct answer is A
QUESTION 2
The company logo is made up of three triangles and a square.
The length of the square is [tex]7\:cm[/tex]
The area of a square is given by
[tex]Area=l^2[/tex]
[tex]\Rightarrow Area=7^2[/tex]
[tex]\Rightarrow Area=49cm^2[/tex].
The area of one of the triangles is
[tex]Area=\frac{1}{2}\times base \times height[/tex]
The height of the triangle is [tex]4cm[/tex].
The base of the triangle is on one side of the square, so it is [tex]7cm[/tex].
The area now becomes
[tex]Area=\frac{1}{2}\times 7 \times 4[/tex]
[tex]\Rightarrow Area=7 \times 2[/tex]
[tex]\Rightarrow Area=14cm^2[/tex].
Since there are three identical triangles, we multiply the area of one triangle by 3 to get area of the three triangles.
[tex]Area\:of\:the\:three\:triangles=3\times14=42cm^2[/tex]
The area of the logo is equal to the area of the square plus the area of the three identical triangles.
[tex]Area\:of\:logo=49+42=91cm^2[/tex]
Hence the area of the logo is [tex]91cm^2[/tex]
QUESTION 3
Since the figure is made up of two rectangles and two right triangles, we find their areas and sum them to get the area of the figure.
The area of a rectangle is given by
[tex]Area=l\times w[/tex]
The width of the bigger rectangle is [tex]5[/tex] and the length is [tex]25[/tex].
[tex]Area\:of\:bigger\: rectangle=25\times 5[/tex]
[tex]Area\:of\:bigger\: rectangle=125\:square\:units[/tex]
The width of the smaller rectangle is [tex]8[/tex].
The length of the smaller rectangle is [tex]25-(6+6)=25-12=13[/tex].
[tex]Area\:of\:smaller\: rectangle=13\times 8[/tex]
[tex]Area\:of\:smaller\: rectangle=104\:square\:units[/tex].
The two triangles are identical, so we find the area of one and multiply by 2
[tex]Area\:of\:triangle=\frac{1}{2}\times base \times heigth[/tex]
[tex]Area\:of\:triangle=\frac{1}{2}\times 6 \times 8[/tex]
[tex]Area\:of\:triangle=3 \times 8[/tex]
[tex]Area\:of\:triangle=24\:square\:units[/tex]
[tex]\Rightarrow Area\:of\:the\:two\:triangles=2\times24=48\:square\:units[/tex]
The area of the figure is
[tex]=125+104+48=277\:sqaure\:units[/tex]
The correct answer is C
dividing fractions maths
Answers
a) 3/11 / 3/11 = 3/11 x 11/3 = 33/33 = 1
b) 9/10 / 3/5 = 9/10 x 5/3 = 45/30 = 1 15/30 = 1 1/2
Answer:
1 and 3/2 or 1 and 1 1/2
Step-by-step explanation:
3➗3=1 and 11➗11= 1 so a. is 1/1 or 1.
9/10➗3/5 or 9➗3=3 and 10➗5=2 so it is 3/2 or 1 1/2 so the answers are 1 and 1 1/2! Hope this helps.
Find the equation of the plane with the given description. contains the lines r1(t) = 2, 1, 0 + t, 2t, 4t and r2(t) = 2, 1, 0 + 4t, t, 15t .
Answers
The respective direction vectors are
L1: <1,2,4>
L2: <4,1,15>
Since the normal vector of the required plane is perpendicular to both direction vectors, the normal vector of the plane is obtained by the cross product of L1 and L2.
i j k
1 2 4
4 1 15
=<30-4, 16-15, 1-8>
=<26, 1, -7>
We know that the plane must pass through (2,1,0), the equation of the plane is
26(x-2)+1(y-1)-7(z-0)=0
simplifying,
26x+y-7z=52+1+0=53
or
26x+y-7z=53
Check:
Put points on L1 in the plane
26(t+2)+(2t+1)-7(4t+0)=53 ok
For L2,
26(4t+2)+(t+1)-7(15t+0)=53 ok
The equation of the plane containing the two given lines is found by calculating the normal vector through the cross product of direction vectors and then using the normal vector with a point from the lines to form the plane's equation, which is 26x + y - 7z = 53.
To find the equation of a plane that contains two given lines, we must first find two direction vectors that represent the lines. In this case, we are given the lines r1(t) = (2, 1, 0) + t(1, 2, 4) and r2(t) = (2, 1, 0) + t(4, 1, 15). The direction vectors for these lines are (1, 2, 4) and (4, 1, 15), respectively. To find the normal vector to the plane, we take the cross product of these two direction vectors.
Let's calculate the cross product:
(1, 2, 4) * (4, 1, 15) = (2*15 - 4*1, 4*4 - 15*1, 1*1 - 2*4) = (26, 1, -7).
The normal vector to the plane is (26, 1, -7), which also represents the coefficients of the variables in the plane's equation. Since both lines pass through the point (2, 1, 0), we can use this point and the normal vector to find the plane's equation.
The general form of the plane's equation is 'Ax + By + Cz + D = 0', where (A, B, C) is the normal vector to the plane. Plugging in the point (2, 1, 0) and the normal vector (26, 1, -7), we get:
26*(x - 2) + 1*(y - 1) - 7*(z - 0) = 0
26x - 52 + y - 1 - 7z = 0
26x + y - 7z = 53
And this is the Equation to the required plane containing the two given lines.
Ming used the calculations shown to find out how much he would spend on 6 pounds of ground beef if 10 pounds of ground beef cost $25.00. What was Ming’s error?
10 pounds
_________
$25.00
=10 pounds/ 25
__________
$25. 00/25
=0.4
____
1
Unit Price=$0.40
$0.40 x 6 =$2.40
What was Ming’s error?
A. He determined pounds per dollar by dividing 10 by 25 but wrote the unit rate as a dollar value.
B. He divided the numerator and the denominator of the fraction by 25.
C. He made a mistake when finding the quotient of 10 pounds and 25 dollars.
D. He made a mistake when finding the product of $0.40 and 6.
Answers
(10/25) = 0.4
The result of the division is correct numerically.
However, the units of the result are incorrect.
The correct units for this case are given by:
0.4 pound / $
Answer:
A. He determined pounds per dollar by dividing 10 by 25 but wrote the unit rate as a dollar value.
Answer:
The answer would be A. He determined pounds per dollar by dividing 10 by 25 but wrote the unit rate as a dollar value.
whats the answer to 21g-6f-8g
Answers
13g-6f is the answer
combine like terms
65% = 91/x. how do you solve for x?
Answers
91/x = 65%
Convert 65% into a decimal
91/x=0.65
multiply each side by x
91=0.65x
since x is on the right side of the equation, switch the sides so it is on the left
0.65x=91
Divide each side by 0.65
x=140
Therefore your answer is: x=140
Which of the following is a rational number? square root 97 square root 98, square root 99, square root 100
A.)square root 97
B.)square root 98
C.)square root 99
D.)square root 100
Answers
Answer:
d
Step-by-step explanation:
Brian’s school locker has a three-digit combination lock that can be set using the numbers 5 to 9 (including 5 and 9), without repeating a number. The probability that the locker code begins with a prime number is %. The probability that the locker code is an odd number is %.
Answers
First propability:
[tex]P_A=\frac{2}{5}=40\%[/tex]
By knowing that digits don't repeat we can say that code is an odd number in case it ends with 5, 7 or 9 (three of five digits).
Second probability:
[tex]P_B=\frac{3}{5}=60\%[/tex]
Dominoes are small rectangular tiles with dots called spots or pips embossed at both halves of the tiles. a standard "double-six" domino set has 28 tiles: one for each of the unordered pair of integers from (0,0) to (6,6). in general, a "double-n" domino set would consist of domino tiles for each unordered pair of integers from (0,0) to (n,n). determine all values of n for which one constructs a ring made up of all the tiles in a double-n domino set.
Answers
There are 14 cars waiting to cross the ferry. The ferry can carry 3 cars at one time. How many trips will the ferry make to get all 14 cars across?
Answers
There are 14
3 x 4 = 12 (which is not enough to carry all 14 across)
3 x 5 = 15 (which is more than enough space to carry all 14 across)
So the ferry needs to make 5 trips in all
hope this helps
What is the equivalent factored form of 12x4 – 42x3 – 90x2? 6x(x – 5)(2x + 3) 6x2(x – 5)(2x + 3) 6x(x + 5)(2x – 3) 6x2(x + 5)(2x – 3)
Answers
The equivalent factored form of 12x4 - 42x3 - 90x2 is 6x(x - 5)(2x + 3).
The equivalent factored form of 12x4 - 42x3 - 90x2 is 6x(x - 5)(2x + 3).
We can factor out the greatest common factor, which is 6x. That leaves us with 2x3 - 7x2 - 15x.
Then we can factor by grouping, which involves grouping terms that have a common factor. By factoring out an x from the first two terms, we get x(2x2 - 7x - 15). By factoring out a -5 from the last two terms, we get -5(2x2 - 7x - 15). This gives us the final factored form of 6x(x - 5)(2x + 3).
Learn more about Factoring here:https://brainly.com/question/34290719
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Your friend asks you to make picture frames and will give you 5 5 nickels for the first frame. You agree to help if she multiplies your payment by 5 5 for each frame completed. After 2 2 frames, you will receive 25 25 nickels, and after 3 3 frames, you will receive 125 125 nickels. What is the number of nickels for tenth frame?
Answers
To find the number of nickels for the tenth frame, we calculate 5 imes 5^9, which equals 9,765,625 nickels. This is a geometric sequence where the common ratio is 5, and the first term for the first frame is 5 nickels.
Explanation:The question asks about the payment received for making picture frames where the payment is multiplied by 5 for each subsequent frame. To find out the number of nickels for the tenth frame, we can use the concept of geometric sequences, where each term is found by multiplying the previous term by a common ratio. The common ratio in this case is 5.
For the first frame, you get 5 nickels. For the second frame, 5 multiplied by 5 is 25 nickels. To find the payment for the tenth frame, we multiply the payment of the first frame by the common ratio to the power of the frame number minus one: 5 imes 5^(10-1) = 5 imes 5^9.
Calculating 5 to the power of 9 gives us 1,953,125. Multiplying this by 5 gives us 9,765,625 nickels for the tenth frame.
Select the situation in which one quantity is changing at a constant rate in relation to the other quantity.
a. Barry spends $9 on lunch daily.
b. The market value of a new computer decreases by 6% every year.
c. Nathan's investments increase in value by 13.5% each month.
d. The number of ants in a colony doubles every 8 weeks.
Answers
Answer:
A. Barry spends $9 on lunch daily.
Step-by-step explanation:
We are required,
To find the situation in which one constant is changing at a constant rate in relation to the other quantity.
So, according to the options, we have,
A. Barry spends $9 on lunch daily.
Let x= number of days and as the cost of lunch each day is $9
Then, the total cost of the lunch y, is [tex]y=9x[/tex]
Thus, this situation changes the variable with constant rate.
B. The market value of a new computer decreases by 6% every year.
Let, a= fixed initial value of the computer and x= number of years.
Since, the rate of decrease in value = 6% = 0.06
Then, the market value of the computer per year, y, is given by,
[tex]y=a(1-0.06)^x\\\\y=a(0.94)^x[/tex]
Thus, this situation changes the variable exponentially.
C. Nathan's investments increase in value by 13.5% each month.
Let, a= fixed initial investment and x= number of months.
Since, the rate of increase = 13.5% = 0.135
Then, the investment per month, y, is given by,
[tex]y=a(1+0.135)^x\\\\y=a(1.135)^x[/tex]
Thus, this situation changes the variable exponentially.
D. The number of ants in a colony doubles every 8 weeks.
Let, x= number of weeks where 'x' belongs to the se {1,8,16,24,...}.
Since, the number of ants is doubling every 8 weeks.
So, the number of ants in the colony, y, is [tex]y=2^x[/tex]
Thus, this situation changes the variable exponentially.
Hence, the situation that changes the variables with a constant rate is A.x=-2y-3 And 4y-x=9 solve equation
Answers
I hope this helps
[tex]x = - 2y - 3 \\ 4y - x = 9[/tex]
Step1:
Get the variable (x or y) alone or find the equation that has the variable already alone, which would be the first equation.
[tex]x = - 2y - 3[/tex]
Step 2:
Replaced "x" in the second equation with the equation in the first equation. This is used to find "y"
[tex]4y - ( - 2y - 3) = 9[/tex]
Step 3:
Solve and Simplify
[tex]4y + 2y + 3 = 9[/tex]
[tex]6y + 3 = 9[/tex]
[tex]6y + 3 - 3 = 9 - 3[/tex]
[tex]6y = 6[/tex]
[tex] \frac{6y}{6} = \frac{6}{6} [/tex]
[tex]y = 1[/tex]
Step 4:
Use one of the original equation:
[tex]x = - 2y - 3 \\ 4y - x = 9[/tex]
Replace "y" from any of the problem (I recommended the first equation) to find "x"
[tex]x = - 2(1) - 3[/tex]
[tex]x = - 2 - 3[/tex]
[tex]x = - 5[/tex]
The answer is: (-5, 1)
To check your answer:
[tex]x = - 2y - 3[/tex]
[tex] (- 5)= - 2(1) - 3[/tex]
[tex]( - 5) = - 2 - 3[/tex]
[tex]( - 5) = - 5[/tex]
You will find the same answer if u use the other way. But, the way I show you is much easier and faster to find the answer.
I hope this helped u
A spinner has 14 equal sectors with different letters for each sector, as shown below:
A spinner with 14 equal sectors is shown. The sectors are labeled B, Y, G, C, P, F, O, V, M, A, D, E, H, and R.
Victoria spins the spinner 18 times, and it stops at the letter B 10 times. If she spins the spinner a 19th time, what is the theoretical probability that this time it will stop at the letter B?
1 over 20
1 over 18
1 over 14
1 over 10
Answers
Answer:
1 over 14
Step-by-step explanation:
The sectors labeled are B, Y, G, C, P, F, O, V, M, A, D, E, H, and R.
Total number of sectors = 14.
When Victoria spins the spinner 18 times, and it stops at the letter B 10 times.
When Victoria spins the spinner the theoretical probability that this time it will stop at the letter B = Favourable outcomes ÷total numner of outcomes.
Favourable outcomes =1 and Total number of outcomes = 14.
Hence Theoritical Probability = 1 over 14.
Find the linearization L(x) of y=e8xln(x) at a=1
Answers
Explanation:
The linearization L(x) of y = f(x) at x = a is given by
[tex]L(x) = f(a) + f'(a) (x - a)[/tex] (1)
Where f'(a) is the derivative of y = f(x) evaluated at x = a. So, we need to find the derivative of y = f(x) and evaluate the derivative at x = a.
The derivative of y = f(x) is computed using the product rule for the derivatives because f(x) is the product of two functions: logarithmic and exponential.
So, the derivative of y = f(x) is given by
[tex]f'(x) = (\frac{d}{dx} (e^{8x}))(\ln x) + (\frac{d}{dx} (\ln x))(e^{8x}) \\ \\ f'(x) = 8e^{8x}\ln x + (e^{8x})(\frac{1}{x}) \\ \\\boxed {f'(x) = 8e^{8x}\ln x + \frac{e^{8x}}{x}}[/tex]
Since a = 1, the derivative of y = f(x) evaluated at x = a = 1 is given by
[tex]f'(a) = f'(1) \\ f'(a) = 8e^{8(1)}\ln 1 + \frac{e^{8(1)}}{1} \\ \\ f'(a) = 8e^{8}(0) + e^{8} \\ \boxed{f'(a) = e^8}[/tex]
Moreover, note that
[tex]f(a) = f(1) \\ f(a) = e^{8(1)}(\ln 1) \\ f(a) = e^8 (0) \\ \boxed{f(a) = 0}[/tex]
Using equation (1), the linearization L(x) of y = f(x) at x = a = 1 is given by
[tex]L(x) = f(a) + f'(a) (x - a) \\ L(x) = 0 + e^8 (x - 1) \\ \boxed{L(x) = e^8 (x - 1)}[/tex]
The linearization L(x) of the function y=e8xln(x) at a=1, is given by L(x) = f(a) + f'(a)(x - a). Following the steps of calculating the function at a=1, determining its derivative and evaluating this at a=1, then substituting these into the linearization formula, this comes out to be L(x) = 1 + 8(x - 1).
Explanation:The linearization of a function at a point is approximately equivalent to the function's tangent line at that point. The formula for linearization, L(x), can be given as L(x) = f(a) + f'(a)(x - a). In this case, find the linearization L(x) of y=e8xln(x) at a=1. To do this, we'll follow a step-by-step process:
Step 1: Evaluate the function at a=1: f(1) = e8*1ln(1) = e0 = 1.Step 2: Compute the derivative at x using the chain rule. The derivative f'(x) = d( e8xln(x) )/dx = e8xln(x) * d(8xln(x))/dx = e8xln(x) * (8ln(x) + 8).Step 3: Evaluate the derivative at a=1: f'(1) = e8*1ln(1) * (8ln(1) + 8) = 0 + 8 = 8.Step 4: Plug these values into the linearization formula to get L(x) = 1 + 8(x - 1).Learn more about Linearization here:https://brainly.com/question/26139696
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Help me find the surface area of a triangular prism with work please
Answers
The total area is
.. (6 cm)*(5.3 cm) +(13 cm)*(19.3 cm)
.. = 31.8 cm^2 +250.9 cm^2
.. = 282.7 cm^2
Jorge is standing at a horizontal distance of 25 feet away from a building. his eye level is 5.5 feet above the ground and looking up he notices a window washer on the side of the building at an angle of elevation of 65, how high is the window washer above the ground
Answers
tan65 =x/25
x=25tan65
x=53.613ft
Answer is (5.5+53.613)ft
=59.113ft
If I=prt, which equation is equivalent to t?
Answers
Solving for t.
Divide both sides by Pr.
[tex] \frac{I}{Pr} = \frac{Prt}{Pr} [/tex]
Simplify
[tex] \frac{I}{Pr} = t[/tex]
[tex]or \ t= \frac{I}{Pr} [/tex]
[tex]Answer: \ t= \frac{I}{Pr} [/tex]
What is the area of this triangle? A= bh 2 12/13/5 is what it shows and here are the answers [A] 17 m2, [B] 30 m2, [C] 60 m2, [D] 60 m2, [E] 120 m2,
Answers
means
given Area=A=bh/2, and
the triangle has sides 5, 12 and 13.
(see diagram attached).
Since (5,12,13) for a Pythagoras triplet, it is a right triangle.
(13^2=12^2+5^2 => 169=144+25)
The two legs are 5 and 12, respectively b & h.
So the area of the triangle is bh/2=5*12/2=30
If the measures are in metres, then the area is 30 m^2.
Write 9.79 x 10^5 in standard notation
Answers
The function p(x) = 2x +1 determines how many pizzas need to be purchased for an after school meeting, where x is the number of students at the meeting. The club leader uses r(p(x)) to find the amount of money to bring for the pizza purchase. The function r(x) = 4x − 3. Solve for how much money to bring when there are 9 students in the meeting.
Answers
[tex]p(x) = 2x + 9[/tex]
substitute the given number of students in the meeting
[tex]p(x) = 2(9) + 9[/tex]
[tex]r(p(x))[/tex]
wherever there is an x in the equation of r(x) substitute the p(x) equation
[tex]r(x) = 4x - 3[/tex]
[tex]4(2(9) + 9) - 3[/tex]
[tex]4(18 + 9) - 3[/tex]
[tex]4(27) - 3[/tex]
[tex]108 - 3 = 105[/tex]
Answer:
r(p(x))=73
Step-by-step explanation:
To find the value of r(p(x)), the equation for p(x) which is 2x + 1, is substituted into every place that there is a x in the equation of r(x).
[tex]r(x)=4x-3\\r(p(x))=4(2x+1)-3\\r(p(x))=8x+4-3\\r(p(9))=8(9)+4-3\\r(p(9))=73[/tex]
Which is the converse of the following statement? Statement: if today is Monday then tomorrow is my birthday
A. If tomorrow is not my birthday, then tomorrow is not Monday
B. If today is not Monday, then tomorrow is not my birthday
C. If tomorrow is my birthday, then today is Monday
D. If today is Monday, then tomorrow is not my birthday
Answers
I'm guessing its A:
If tomorrow is not my birthday, tomorrow is not Monday
1/7-3(3/7n-2/7)
I need help solving this problem...
Answers
To solve the expression 1/7 - 3(3/7n - 2/7), distribute the 3 to the terms inside the parentheses, simplify the expression inside the parentheses, and combine like terms to get the simplified form of 7n - 1/7.
Explanation:To solve the expression 1/7 - 3(3/7n - 2/7), we need to follow the order of operations which is Parentheses, Exponents, Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right).
First, distribute the 3 to the terms inside the parentheses: 1/7 - (9/7n - 6/7).
Next, simplify the expression inside the parentheses: 1/7 - 9/7n + 6/7.
Finally, combine like terms by subtracting and adding the fractions: 7n - 1/7.
So, the simplified form of the expression 1/7 - 3(3/7n - 2/7) is 7n - 1/7.
Final answer:
The algebraic expression 1/7 - 3(3/7n - 2/7) can be simplified by distributing the -3 and combining like terms to yield a final expression of 1 - 9/7n.
Explanation:
The student is asking for help in solving an algebraic expression. The problem given is 1/7 - 3(3/7n - 2/7). To solve this, we need to apply the distributive property and then simplify the expression. Here's how we can solve it step by step:
Distribute the -3 to the terms inside the parenthesis: -3 * (3/7)n = -9/7n and -3 * (-2/7) = 6/7.
The expression now becomes 1/7 - 9/7n + 6/7.
Combine like terms, which are the constant fractions: 1/7 + 6/7 = 7/7 = 1.
The final simplified expression is 1 - 9/7n.
Find the area and the circumference of a circle with radius 2m. use the value 3.14, and do not round your answers. be sure to include the correct units in your answers.
Answers
[tex]A_c = \pi r^2[/tex]
Plug and chug:
[tex]A_c = \pi (2)^2 = 12.56m^2[/tex]
Circumference is given by (d = 2r):
[tex]C_c = \pi d[/tex]
Plug and chug:
[tex]C_c = \pi (4) = 12.56m[/tex]
Those are your answers!
Final answer:
The area of a circle with a radius of 2m is 12.56 m² and the circumference is 12.56 m when using 3.14 for π, with both answers having two significant figures due to the radius given with two significant figures.
Explanation:
The area (A) and the circumference of a circle with radius 2m can be found using the formulas A = πr² and C = 2πr. Using 3.14 as the value for π, the calculations would be A = (3.14)(2m)² = 12.56 m² for the area, and C = 2(3.14)(2m) = 12.56 m for the circumference. It is important to note that when performing calculations, the result should have the same number of significant figures as the quantity with the fewest significant figures used in the calculation.
What are the coordinates of the vertex of the table? Is it a minimum or a maximum?
X Y
0 1
-1 -2
-2 -3
Answers
We see that the vertex of the function is located at the point:
(x, y) = (- 2, -3)
The point is a minimum.
Answer:
(x, y) = (- 2, -3)
It is a minimum.
See attached image.
Which of the following measurements could be the side lengths of a right triangle? A. 42 in, 63 in, 70 in B. 35 in, 56 in, 70 in C. 42 in, 56 in, 84 in D. 42 in, 56 in, 70 in
Answers
A. 42 in, 63 in, 70 in = acute scalene triangle
B. 35 in, 56 in, 70 in = obtuse scalene triangle
C. 42 in, 56 in, 84 in = obtuse scalene triangle
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~ Zoe
James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collection. After James adds these stamps, what is the ratio of the number of stamps in James's collection to the number of stamps in Roy’s collection?