What are the answers to Steps 1 and 2 i am on a timed test plz help.
Answers
You should add an image or type the problem
Related Questions
According to a newspaper report, in 2 million lie detector tests, 300,000 were estimated to have produced erroneous results. Assuming these figures to be correct, answer the following If ten tests were picked at random from these 2 million tests, what would be the chance that at least one of them produced an erroneous result
Answers
The result is approximately 0.839 or 83.9%.
In a newspaper report, it was mentioned that out of 2 million lie detector tests, an estimated 300,000 produced erroneous results. The probability of an erroneous result in these tests can be calculated using the given information. Let P (erroneous result) be the probability of an erroneous result in these tests.
P (erroneous result) = 300,000/2,000,000 = 0.15 Now we need to find the probability that at least one of the ten tests picked at random from these 2 million tests produced an erroneous result. Let P (at least one erroneous result in ten tests) be the probability of getting at least one erroneous result in ten tests.
P (at least one erroneous result in ten tests) = 1 - P (no erroneous result in ten tests)
P (no erroneous result in ten tests) = (1 - P (erroneous result))^10
P (no erroneous result in ten tests) = (1 - 0.15)^10
P (no erroneous result in ten tests) = 0.161
Therefore, P (at least one erroneous result in ten tests) = 1 - P (no erroneous result in ten tests)
P (at least one erroneous result in ten tests) = 1 - 0.161
P (at least one erroneous result in ten tests) = 0.839
So, the chance that at least one of the ten tests picked at random from these 2 million tests produced an erroneous result is approximately 0.839 or 83.9%.
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Someone please helpppppo
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Answer:
1: No, they're not similar polygons
2: Yes, they're similar polygons
Step-by-step explanation:
1: DF/AC = 8/6 = 1.3repeating
FE/CB = 6/4 = 1.5
there is no constant of proportionality
2: 48/40 = 1.2
35/30 = 1.2
the constant of proportionality is 1.2
(1-cos x) 2 x→⁰1-√√1-x² Evaluate the limit using L'Hopital's rule, if applicable: lim4
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Using L'Hopital's rule, we can evaluate the limit of lim(x→0) (1-cos x) / (2x - √(√(1-x^2))). The limit is equal to -1/2.
To evaluate the limit, we can apply L'Hopital's rule, which states that if the limit of the ratio of two functions f(x) and g(x) as x approaches a is of the form 0/0 or ∞/∞, then the limit of their derivative ratios is the same as the original limit.
Taking the derivatives of the numerator and denominator, we have:
f'(x) = sin x (derivative of 1-cos x)
g'(x) = 2 - (1/2) * (1/2) * (1-x^2)^(-1/2) * (-2x) (derivative of 2x - √(√(1-x^2)))Now, we can find the limit of the derivative ratios:
lim(x→0) f'(x)/g'(x) = lim(x→0) sin x / (2 - (1/2) * (1/2) * (1-x^2)^(-1/2) * (-2x))
As x approaches 0, sin x approaches 0, and the denominator also approaches 0. Applying L'Hopital's rule again, we can take the derivatives of the numerator and denominator:
f''(x) = cos x (derivative of sin x)
g''(x) = (1/2) * (1/2) * (1-x^2)^(-1/2) * (-2x) * (-1/2) * (1-x^2)^(-3/2) * (-2x) + (1/2) * (1/2) * (1-x^2)^(-1/2) * (-2) (derivative of g'(x))
Evaluating the limit of the second derivative ratios:
lim(x→0) f''(x)/g''(x) = lim(x→0) cos x / [(1/2) * (1/2) * (1-x^2)^(-1/2) * (-2x) * (-1/2) * (1-x^2)^(-3/2) * (-2x) + (1/2) * (1/2) * (1-x^2)^(-1/2) * (-2)]
As x approaches 0, cos x approaches 1, and the denominator is nonzero. Therefore, the limit of the second derivative ratios is equal to 1. Hence, the limit of the original function is -1/2.
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the owner of a landscaping company is repairing a lawn. The owner is calculating the dimensions and costs of square pieces of sod. There are two different sizes of sod. The large pieces of sod have an area of 576 square inches. The smaller pieces of sod have an area that is 36 square inches greater than half the area of the large pieces. What is the area of a smaller piece of sod?
Answers
The area of a smaller piece of sod is,
⇒ 324 inches²
We have to given that;
There are two different sizes of sod.
And, The large pieces of sod have an area of 576 square inches. The smaller pieces of sod have an area that is 36 square inches greater than half the area of the large pieces.
Since, The large pieces of sod have an area of 576 square inches.
Hence, We get;
The area of a smaller piece of sod is,
⇒ 36 + 1/2 of 576
⇒ 36 + 288
⇒ 324 inches²
Thus, The area of a smaller piece of sod is,
⇒ 324 inches²
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Help me out I’m bad at this type of stuff
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Answer:
the answer is 3 1/2 hours
Explanation: Just add all the fractions and numbers and subtract that by 9 1/4
6. If AABC ~ ADEF, find the value of x.
Answers
Answer:
ED=22.4
Step-by-step explanation:
AB/FE=BC/ED
25/28=20/ED (x=ED)
ED=22.4
Please help!
Find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
Answers
The lateral area of the triangular prism is: 720 in.²
The surface area of the triangular prism is: 840 in.²
What is the Lateral Area of a Triangular Prism?Lateral area of a triangular prism (AL) = (a+b+c)h
What is the Surface Area of a Triangular Prism?Surface area of a triangular prism (SA) = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
a. Lateral area of a triangular prism:
a = √(17² - 15²) = 8 in.b = 15 in.c = 17 in.h = 18 in.Lateral area of triangular prism (AL) = (8 + 15 + 17)18 = 720 in.²
b. Surface area of a triangular prism:
s1 = 8 in.s2 = 15 in.s3 = 17 in.L = 18 in.b = 8 in.h = 15 in.Surface area of triangular prism (SA): (S1 + S2+ S3)L + bh = (8 + 15 + 17)18 + (8)(15) = 840 in.²
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(69 POINTS!!!)
Simplify the expression: \sqrt[3]{27x^{6}y^{4} }
(3√``````27x^6y^4)
*SHOWING OF THE WORK IS NEEDED.*
![(69 POINTS!!!)Simplify the expression: \sqrt[3]{27x^{6}y^{4} }(3``````27x^6y^4)*SHOWING OF THE WORK IS](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/gF7oUNmjSaP6InANDAJgcKf6eswV1DA0.png)
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Answer:
\(\boxed{\bold{3x^2y\sqrt[3]{y}}}\)
Explanation:
\(\bold{\sqrt[3]{27x^6y^4}}\)
\(\bold{\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0}\)
\(\bold{=\sqrt[3]{27}\sqrt[3]{x^6}\sqrt[3]{y^4}}\)
\(\bold{\sqrt[3]{27} \ = \ 3}\)
\(\bol=3\sqrt[3]{x^6}\sqrt[3]{y^4}d\)
\(\bol\mathrm{Apply\:exponent\:rule}\quad \:a^{bc}=\left(a^b\right)^cd: \ x^6=x^{2\cdot \:3}=\left(x^2\right)^3\)
\(\bol=3\sqrt[3]{\left(x^2\right)^3}\sqrt[3]{y^4}d\)
\(\bold{\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0: \ \sqrt[3]{\left(x^2\right)^3}=x^2}\)
\(\bold{=3x^2\sqrt[3]{y^4}}\)
\(\bold{\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c}\)
\(\bold{=3x^2\sqrt[3]{y^3y^1}}\)
\(\bold{\mathrm{Apply\:radical\:rule}:\quad \sqrt{a\cdot b}=\sqrt{a}\sqrt{b}}\)
\(\bold{=3x^2\sqrt[3]{y^3}\sqrt[3]{y^1}}\)
\(\bold{\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0: \ \sqrt[3]{y^3}=y}\)
\(\bold{=3x^2y\sqrt[3]{y^1}}\)
\(\bold{\mathrm{Apply\:rule}\:a^1=a: \ y^1=y}\)
\(\boxed{\bold{3x^2y\sqrt[3]{y}}}\)
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The simplified form of the expression is \(3 x^2y^\frac{4}{3}\)
Given the indices;
\(\sqrt[3]{27x^6y^4}\)
Using the law of indices,
\(\sqrt[n]{x}=x^{\frac{1}{n} }\)
The expression given will be equivalent to;
\(\sqrt[3]{27x^6y^4} = \sqrt[3]{27} \times \sqrt[3]{x^6} \times \sqrt[3]{y^4} \\=\sqrt[3]{27x^6y^4}=27^\frac{1}{3}\times (x^6)^\frac{1}{3} \times (y^4)^\frac{1}{3} \\\sqrt[3]{27x^6y^4}=3x^2y^\frac{4}{3}\)
Hence the simplified form of the expression is \(3 x^2y^\frac{4}{3}\)
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solve for x: 12+2(5−3x)=−9(x−1)−2
Answers
The value of x after solving the equation is 5.
We are given an equation consisting of a variable x. We have to solve the equation by isolating the variable to find the value of x. The equation given to us is;
12 + 2(5 -3x) = -9(x -1) - 2
We will open the brackets by multiplying the numbers.
12 + 10 - 6x = -9x + 9 -2
12 + 10 - 6x = -9x + 7
22 - 6x = -9x + 7
We will combine the variable x to one side and the constants to the other side.
-6x + 9x = 7 - 22
3x = -15
x = -5
Therefore, the value of x is 5.
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Find the shaded area. Round your answer to the nearest tenth, if necessary.
Use 3.14 for pi.
Area of the Rectangle =
Area of the Circle =
Total Shaded Area =
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Answer:
Area of the rectangle - 144 in^2
Area of the circle - 28,26 in^2
Total shaded area - 115,74 in^2
Step-by-step explanation:
\(a(rectangle) = 18 \times 8 = 144 \: {in}^{2} \)
\(a(circle) = \pi \times {r}^{2} = {3}^{2} \times \pi = 9\pi = 9 \times 3.14 = 28.26 \: {in}^{2} \)
\(a(shaded) = a(rectangle) - a(circle)\)
\(a(shaded) = 144 -28.26 = 115.74 \: {in}^{2} \)
Hi pls solve this and make sure your answer is original and whoever does this will get brainless
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Answer:
because he is wittery hitting da gwity
PLEASE HELP WORTH 15 points CURRENTLY TAKING TEST, NEED ASAP
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A- The Sum of the series is 2 - 20 + 200 .. is 2/11. B- the 12th term of the geometric sequence is option C -112.
We can observe that each term in the series is obtained by multiplying the previous term by -10.
Let the first term be a = 2, and the common ratio be r = -10.
Using the formula for the sum of an infinite geometric series, we have:
So = a / (1 - r)
So = 2 / (1 - (-10))
So = 2 / 11
So the sum of the given series is 2/11.
b- We can use the formula for the nth term of a geometric sequence to find the 12th term.
aₙ = a1×rⁿ-¹
where a1 is the first term and r is the common ratio.
We are given two terms in the sequence:
a7 = 7
a56 = ?
We can use these to find a1 and r.
First, we can find the common ratio:
r = a7 / a6 = 7 / (a7 / r) = 7 / a56
Next, we can use the formula to find a1:
aₙ = a2×rⁿ-¹
Substituting the values we know:
r = 7 / a56
Simplifying:
a1= a56^6
Now we can use the formula to find a12:
a12 = a1 * r^(12-1)
Simplifying:
a12 = 7^11 * a56^(-5)
Therefore, the 12th term of the sequence is a negative number, and the only negative option given is (c) -112. So the answer is (c) -112.
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use the exponential equation that best fits the data (2,7),(3,10),(5,50) and (8,415) to estimate the value of y when c=6
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To determine the exponential equation that best fits the data below:
\(\begin{gathered} y=ab^x \\ (2,7)\text{ (3,10) (5,50) (8, 415)} \end{gathered}\)Inorder to convert the exponential to linear, use logarithm
\(\begin{gathered} y=ab^x \\ \log y=\text{loga}+\log b^x \\ \log y=\log a+x\log b \\ \text{Let log a = c, log b = m} \\ \text{compare it to straight line equation} \end{gathered}\)\(\begin{gathered} y=mx+c \\ m=\log b \\ b=10^m \\ c=\log a \\ a=10^c \end{gathered}\)\(\begin{gathered} m=\frac{n\Sigma xy-\Sigma x\Sigma y}{n\Sigma x^2-(\Sigma x)^2} \\ \text{where n=4 , }\Sigma x=18,\text{ }\Sigma x^2=102,\text{ }\Sigma y=6.17,\text{ }\Sigma xy=34.16 \\ m=\frac{4(34.16)-18(6.17)}{4(102)-(18)^2} \\ m=0.305 \end{gathered}\)\(\begin{gathered} c=\frac{\Sigma y-m\Sigma x}{n} \\ c=\frac{6.17-0.305(18)}{4} \\ c=0.172 \end{gathered}\)\(\begin{gathered} b=10^m \\ b=10^{0.305} \\ b=2.02 \\ a=10^c \\ a=10^{0.172} \\ a=1.49 \end{gathered}\)\(\begin{gathered} y=ab^x \\ y=1.49(2.02)^x \end{gathered}\)To estimate the value of y using the above exponential equation when x= 6
\(\begin{gathered} y=1.49(2.02)^6 \\ y=1.49(67.61) \\ y=100.74 \end{gathered}\)Hence the estimate the value of y ≈ 100
Therefore the correct answer is Option D
Ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. How much would Ariana need to invest, to the nearest ten dollars, for the value of the account to reach $110,000 in 14 years?
Answers
Answer:
110000=p(1+0.019)^168
23.62p=110000
p=4660
credit: sqdancefan
Answer:
84330
Step-by-step explanation:
The compound interest formula gives the value of an investment.
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.
110,000 = P(1 +0.019/12)^(12·14)
P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168
P ≈ 110,000/1.30446
P ≈ 84326.04 ≈ 84,330 . . . . dollars
What does the remainder tell you about the
relationship between the dividend and the divisor when dividing polynomials?
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Answer:
The remainder is the number left when you completely divide out your number to its max (Dividend = Divisor × Quotient + Remainder)
Step-by-step explanation:
I hope this helped
Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer
Last Summer
140
220
190
180
190
This Summer
150
170
150
190
180
Which statement comparing the modes to the ranges is true?
The modes differ by 40 and the ranges differ by 40.
The modes differ by 20 and the ranges differ by 20.
The modes differ by 40, but the ranges differ by 20.
The modes differ by 20, but the ranges differ by 40.
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Answer:The correct statement comparing modes to ranges is ''The modes differ by 40 and the range differs by 40'' is true.
Step-by-step explanation:The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer,
Last summer: 140 220 190 180 190
This summer: 150 170 150 190 180
We have to determine,
Which statement comparing the modes to the ranges is true.
According to the question,
The mode of a data set is the value that occurs most often.
The data from last summer,
The value 190 is in the list twice, while all other values are only in once. This means 190 is the mode.
The data from this summer,
The value 150 is in the list twice, while all other values are only in once. This means 150 is the mode.
The difference in modes is 190 - 150 = 40.
The range is the difference between the maximum and minimum values in a data set.
The maximum value is 220 and the minimum value is 140,
Then,
Range = 220 - 140 = 80
The range for this summer's data,
The maximum is 190 and the minimum is 150;
Then,
Range = 190 - 150 = 40 for the range.
Therefore,
The difference in ranges is 80 - 40 = 40.
Hence, The modes differ by 40 and the range differs by 40
Answer:
A
Step-by-step explanation:
Took the quiz on edge2022.
NEED HELP ASAP!!
Translate the image using the rule down below
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By translating the pre-image triangle CRT with this translation rule (x, y) → (x + 2, y - 4), the coordinates of the image triangle C'R'T' are: C' (-2, -2), R' (-3, -5), and T' (3, -3).
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or parent function.
Note: Each interval on this graph represents 1 unit.
Next, we would transform triangle CRT by using this translation rule (x, y) → (x + 2, y - 4) to create the vertices of triangle C'R'T' as follows:
(x, y) → (x + 2, y - 4)
Point C (-4, 2) → Point C' = (-4 + 2, 2 - 4) = (-2, -2)
Point R (-5, -1) → Point R' = (-5 + 2, -1 - 4) = (-3, -5)
Point T (1, 1) → Point T' = (1 + 2, 1 - 4) = (3, -3)
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Please help me I need to finish this :)
Answers
valencia theater sold 487 tickets for a play. tickets cost $14 per student with valid valencia identification and $25 per non-student. if total receipts were $8391, how many valencia student tickets and non-student tickets were sold?
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354 Valencia student tickets and 133 non-student tickets were sold.
Let's use algebra to solve the problem. Let
x be the number of Valencia student tickets sold
y be the number of non-student tickets sold
We know that
x + y = 487 (the total number of tickets sold is 487)
14x + 25y = 8391 (the total receipts from ticket sales is $8391)
We can use the first equation to express one of the variables in terms of the other. For example, we can solve for y
y = 487 - x
Here we have to use the substitution method, we can then substitute this expression for y into the second equation
14x + 25(487 - x) = 8391
Simplifying and solving for x
14x + 12275 - 25x = 8391
-11x = -3884
x = 354
So, 354 Valencia student tickets were sold. We can use the first equation to find y
x + y = 487
354 + y = 487
y = 133
So, 133 non-student tickets were sold.
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What is the value of x? Teach me
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4) Find the LCM of 20 and 9
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Answer:
least common multiple is 180
(12x)^1/2 in radical form
Answers
Answer: \(\sqrt{12x}\)
Step-by-step explanation:
The answers to the blanks
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∠2 and ∠3 are opposite angles or vertical angles so they are equal.
What are opposite angles?Opposite angles are a pair of angles that are formed when two lines intersect. They are located across from each other and have the same degree measure. Opposite angles are also known as vertical angles.
More specifically, when two lines intersect, they form four angles at the point of intersection. The opposite angles are the angles that are directly across from each other, and they share a common vertex. In other words, if you draw a line segment connecting the vertices of the opposite angles, it will divide the intersection into two pairs of congruent angles.
The property of opposite angles is that they have equal measures. For example, if one of the opposite angles measures 60 degrees, the other opposite angle will also measure 60 degrees.
Opposite angles play an important role in geometry and are used in various proofs and theorems.
In the given problem, ∠2 and ∠3 are opposite angles which implies they must be equal to one another.
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Chris drove his car to the movie theater. The graph below represents Chris's speed over time, from when he left his house to when he arrived at the theater. At which times did Chris most likely stop at a stoplight? A. time = 3 min, time = 10.5 min, time = 12 min B. time = 2 min, time = 11 min C. time = 0 min, time = 21 min D. time = 1.5 min, time = 6 min, time = 14 min
Answers
Answer:
B
Step-by-step explanation:
Stopping at a stoplight means that Chris's speed would be zero on the graph. The times that his speed is zero are times t = 0, t = 2 min, t = 11 min, and t = 21 min. Because the graph shows his speed from the time he left his house (at t = 0) to the time he arrived at the theater (at t = 21 min), the most likely times he stopped at stoplights are times t = 2 min and t = 11 min.
debbie has at most $60 to spend on the clothes. she wants to buy a pair of jeans for $22 and spend the rest on t-shirts. each t-shirt cost $8. what is the greatest number of t-shirts debbie can buy. *
Answers
Debbie can buy a maximum of 4 t-shirts with the remaining $38 after purchasing the $22 jeans.
To determine the greatest number of t-shirts Debbie can buy, we need to find out how much money she will have left after purchasing the pair of jeans. Debbie has $60 to spend and the jeans cost $22. Therefore, she will have $60 - $22 = $38 left to spend on t-shirts.
Each t-shirt costs $8, so we divide the remaining amount by the cost per t-shirt: $38 / $8 = 4.75.
Since Debbie cannot buy a fraction of a t-shirt, we round down the decimal value to the nearest whole number. Therefore, Debbie can buy a maximum of 4 t-shirts with the remaining $38.
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Determine the quadratic function f written in standard form whose graph passes through the following points: (1, 0), (-1,0), and (0, -1).
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The quadratic function in standard form whose graph passes through the points (1, 0), (-1,0), and (0, -1) is given as follows:
y = x² - 1.
How to define a quadratic function?The standard form definition of a quadratic function is given as follows:
y = ax² + bx + c.
The graph passes through the points (1,0) and (-1,0), hence the roots of the quadratic function are given as follows:
x = -1.x = 1.According to the Factor Theorem, the function can be written as a product of it's linear factors as follows:
y = a(x + 1)(x - 1)
y = a(x² - 1).
When x = 0, y = -1, hence the leading coefficient a is given as follows:
-a = -1
a = 1.
Hence the function is:
y = x² - 1.
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V=s^2h/3
Find the volume of a square pyramid If ‘s’ is increased by 30% and ‘h’ remains constant
Answers
Answer:
1.69s^2h/3.
Step-by-step explanation:
New s = 1.3s
New volume = (1.3s)^2h /3
= 1.69s^2h/3.
guys answer this one only one more question left
Answers
Answer:
336
Step-by-step explanation:
i hope i got it right
Answer:
49
Step-by-step explanation:
A=(a+b/2)h
What do you think is a real number?
Answers
Answer:
Real numbers consist of zero (0), the positive and negative integers (-3, -1, 2, 4), and all the fractional and decimal values in between (0.4, 3.1415927, 1/2). Real numbers are divided into rational and irrational numbers.
Step-by-step explanation:
Which numbers are a distance of 2 units from 8 on a number line?
(If your answer is wrong I'm deleting it)
Answers
Answer:
10 and 6 I believe