Answer:
the answer is 379.9m²
Step-by-step explanation:
half of 22 is ll time 3.14 equals 379.94. to the nearest tenth is 379.9
A triangular prism is 18.8 meters long. It has a triangular face with a height of 9 meters. The volume of the prism is 1,353.6 cubic meters. What is the base length of its triangular face?
1) Gathering the data
width = 18.8
height = 9 m
V = 1353.6 m³
2) Let's use the formula of the Volume, derived from the Base Area and the height:
\(undefined\)how many of u are from India
Answer:
I was born in California and then moved to Texas bt Im indian because my parents are indian
Build Perseverance Find the measure of angle A and angle B for the given situation.
complementary angles A and B, where m
m
Answer:
2673+$&$ᷓ+62578
Mrs. Jones spend $15 of 12 bottles of water. How much did Mrs. Jones spend on one bottle
Divide 15/12. You'll get 1.25. (mark brainliest if u want to ty)
Answer:
$1.25
Step-by-step explanation:
15 divided by 12 = $1.25
HELP QUICK
A tourist traveled 10 km away from the city by bus, and then continued his journey by foot in the same direction at the speed of 5 km/h. At which distance y was he from the city in x hours of walking?
Will make brainiest
Answer:
y=5(x)+10
Step-by-step explanation:
The tourist had already traveled a set 10 km. He then travels 5 km more every hour.
EX 2 hours
y=5(2)+10
y=20
EX 5 hours
y=5(5)+10
y=35
Hope this helps :-)
The distance y from the city in x hours of walking is y=5x+10.
The tourist traveled 10 km away from the city by bus and then continued his journey by foot in the same direction at the speed of 5 km/h.
The tourist traveled 10km already and then he travels 5 km more every hour.
Then the equation would be y=5(x)+10
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Which represents an exterior angle of triangle EGF?
O ZMEG
O ZNEG
O ZPEQ
O ZRFS
Answer:
The correct answer is:
ZNEG/∠NEG
Step-by-step explanation:
An exterior angle is one outside the triangle that is formed by extending two of the sides of the triangle. Angle NEG is formed by extending EG and EF; this makes it an exterior angle.
A right triangle has an angle measure of 52.4 degrees. What is the value of 'x', the missing angle?
Answer:
The answer is 37.6 degrees
Step-by-step explanation:
Since a right angle is 90 degrees in total, to find the missing degree subtract 52.4 from 90 to find the value of x.
90-52.4= 37.6 degrees
37.6 degrees is your answer
Hope this helps
The army reports that the distribution of head circumference among soldiers is approximately normal with mean 22.8 inches and standard deviation 1.1 inches. helmets are mass-produced for all except the smallest 5% and the largest 5% of head sizes. soldiers in the smallest or largest 5% get custom-made helmets.
Head sizes smaller than 20.9905 inches or greater than 24.6095 inches can get custom-made helmets.
Given: Normal distribution
Mean=μ=22.8 inches
Standard deviation=σ=1.1 inches
We need to determine the head sizes for custom-made helmets, while the customer-made helmets are for the 5% smallest and the 5% largest head sizes.
The 5% largest head sizes are all head sizes excluding the 100%-5% = 95% smallest head sizes.
The standard normal distribution table in the appendix contains the proportion of observations to the left of z-scores.
Let us determine the z-score that corresponds with a proportion of 5% or 0.05 in the standard normal distribution table of the appendix. We note that the probability 0.05 lies exactly in the middle between 0.0495 and 0.0595, which corresponds with the z-scores -1.64 and -1.65 We will then use the middle z-score of -1.645 to represent the probability 0.05.
z=−1.645
Similarly, z=1.645 corresponds with 95%=0.95.
z=±1.645
Thus, evaluating:
x=22.8+1.645(1.1)=24.6095
x=22.8−1.645(1.1)=20.9905
Hence, head sizes smaller than 20.9905 inches or greater than 24.6095 inches can get custom-made helmets.
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1.)
b) find the area in square inches of a square with a radius length 8 sqrt 2
2.)
a) find The area in square centimeters of an equiangular triangle with a perimeter of 29.4 cm
b) find the area in square inches of an equiangular triangle with the radius of length 6 inches
1) The area in square inches of a square with a radius length 8 sqrt 2 is:
256 square inches.
2) a) The area in square centimeters of an equiangular triangle with a perimeter of 29.4 cm is: 41.67 square centimeters.
b) The area of the equiangular triangle with a radius length of 6 inches is 108√3 square inches.
Here, we have,
To find the area of a square with a radius length of 8√2, we need to determine the length of one side of the square.
The length of the diagonal of a square is given by d = 2r, where r is the radius of the square. In this case, the diagonal is 2(8√2) = 16√2.
The length of one side of the square can be found using the Pythagorean theorem:
s² + s² = (16√2)²
2s² = 512
s² = 256
s = 16
Therefore, the side length of the square is 16.
The area of a square is given by A = s², where s is the length of one side.
A = 16²
A = 256 square inches
2a)
To find the area of an equiangular triangle with a perimeter of 29.4 cm, we need to determine the side length of the triangle first.
Since it is an equiangular triangle, all three sides are equal in length. Let's denote the side length as s.
The perimeter of the triangle is given by P = 3s, where P is the perimeter.
29.4 = 3s
s = 29.4 / 3
s ≈ 9.8 cm
Now, to find the area of the equiangular triangle, we can use the formula A = (√3/4) * s², where A is the area and s is the side length.
A = (√3/4) * (9.8)²
A ≈ 41.67 square centimeters
2b)
To find the area of an equiangular triangle with a radius length of 6 inches, we need to determine the side length of the triangle.
The radius of the equiangular triangle is equal to the inradius, which is one-third of the height of the equilateral triangle.
Let's denote the side length as s.
The inradius (r) can be found using the formula r = (√3/6) * s, where r is the inradius and s is the side length.
6 = (√3/6) * s
s = 6 * (6/√3)
s = 12√3 inches
Now, to find the area of the equiangular triangle, we can use the formula A = (√3/4) * s², where A is the area and s is the side length.
A = (√3/4) * (12√3)²
A = (√3/4) * (144 * 3)
A = (√3/4) * 432
A = 108√3 square inches
Therefore, the area of the equiangular triangle with a radius length of 6 inches is 108√3 square inches.
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Prove each identity below, assuming that the appropriate partial derivatives exist and are continuous. If f is a scalar field an F and G are vector fields, then F middot G, and F times G are defined by (F middot G)(x, y, z) = F(x, y, z) middot G(x, y, z) (F times G)(x, y, z) = F(x, y, z) times G(x, y, z) div (F times G) = G middot curl (F) - F middot curl (G) curl (curl(F)) = grad (div(F)) - nabla^2 F
The identities to be proven are: 1) div (F times G) = G middot curl (F) - F middot curl (G), and 2) curl (curl(F)) = grad (div(F)) - nabla^2 F.
1) To prove div (F times G) = G middot curl (F) - F middot curl (G), we can expand the divergence of the vector field F times G using the product rule. The divergence of F times G is given by div (F times G) = div(F) times G + F times div(G). Applying the curl product rule, we have curl(F times G) = G times curl(F) + F times curl(G). Taking the divergence of both sides, we get div(curl(F times G)) = G middot curl(F) + F middot curl(G). Since div(curl(F times G)) is equal to div(F times G), we conclude that div(F times G) = G middot curl (F) - F middot curl (G).
2) To prove curl(curl(F)) = grad(div(F)) - nabla^2 F, we can start by expanding the curl of F. The curl of F is given by curl(F) = (nabla cross F), and the curl of the curl of F is curl(curl(F)) = (nabla cross (nabla cross F)). Applying the vector identity for the curl of a curl, we have curl(curl(F)) = grad(div(F)) - nabla^2 F, where grad(div(F)) represents the gradient of the divergence of F and nabla^2 F represents the Laplacian of F.
By assuming that the appropriate partial derivatives exist and are continuous, we have proven the identities div (F times G) = G middot curl (F) - F middot curl (G) and curl (curl(F)) = grad (div(F)) - nabla^2 F.
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Could you help me solve this?
Answer:
a and b shows a solution all you have to do is place the numbers in x value and see if it makes sense for example 8>9 is not a solution but 9> 8 that is a solution so c cannot be a solution
Step-by-step explanation:
Answer:
its a and b
Step-by-step explanation:
Help please Im stuck on this question
This is an algebraic word problem and it has a solution of $120 which is Jonathan's pocket money for each month.
Algebraic word problemIn algebraic word problems, we can represent an unknown number using letters and then carry out basic mathematics operations to get the value of the unknown number.
We shall represent Jonathan's pocket money for each month with the letter x so that;
In July he saved: x - $80 and in August he saved x - $72
Since his savings increased by 20%, then;
x - $72 + x - $80 = (20/100)(x - $80)
2x - $252 = (1/5)(x - $80)
5(2x - $252) = x - $80 {cross multiplication}
10x - $1260 = x - $80
10x - x = $1260 - $80 {collect like terms}
9x = $1080
x = $1080/9 {divide through by 9}
x = $120.
Therefore, the agebraic word problem have a solution of $120 which is Jonathan's pocket money for each month.
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Ratios that are equivalent to 7/3
Answer:
14:6, 21:9, 28:12
Step-by-step explanation:
Find the amount of an annuity of Rs. 450 payable at the end of each year for 18 years at 4. 5% compound interest pre annum
The sum of a 450-rupee annuity, which is due every year at the end of an 18-year period, is Rs. 5365.35.
what is amount ?aggregated attempting to estimate the amount, actual number, or time needed. The level in front of you or being contemplated about is quite active. the final outcome, its worth, or its import. trio accountings: principal, payment, and the third. Word derivatives include amounts, amounting, and amounted. supple noun How much something is, that however much you have, how much you need, or how many you get is its volume. He needed that much cash to get by.
given
Annual payment A=Rs. 450
n= 18
i= 4.5%=0.045
A ( 18 , 0.045) =
= [ (1+0.045)^7 −1 / 0.045 ]
= Rs. 5365.35
The sum of a 450-rupee annuity, which is due every year at the end of an 18-year period, is Rs. 5365.35.
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b) За + 4b + ба
Please help
Answer:
\(\sf 9a+4b\)
Step-by-step explanation:
\(\sf 3a+4b+6a\)
Combine like terms
\(\sf 3a+6a=9a\)
\(\sf 9a+4b\)
what is the value of the following expression? true && !false
The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.
1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".
2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".
Therefore, the value of the expression "true && !false" is "true".
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The chord of a circle of radius 6 ft is 8 ft long . find the distance if the chord from the center.
Referring to attached figure :
given values : -
radius of the circle = 6 ft measure of chord = 8 ft (AB)construction : -
I actually draw a perpendicular on chord from the centre, and we know that the perpendicular from centre on it bisects the given chord, therefore measure of
AC = BC = 1/2 × ABAC = BC = 4 ftnow, let's apply Pythagoras theorem for triangle OCB,
we get :
OC² + CB² = OB²OC² + 4² = 6²OC² + 16 = 36OC² = 36 - 16OC² = 20OC = \( \sqrt{20} \) ft OC = \( 2\sqrt{5} \) ftAnd here OC is the distance of chord from its center, therefore required answer is \( 2\sqrt{5} \)
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \boxed{ \: \: \: TeeNForeveR \: \: \: }}\)
if y is divided by x, the quotient is p and the remainnder is r, what is the relations between x, y, p, r
If the number y is divided by x, the quotient is p and the remainder is r , then the relation between x,y,p,r is given by the expression \(y=xq+r\) .
What is Euclid's Division Lemma ?
The Euclid's Division Lemma states that for two positive integers , a and b , then there exist unique integers q and r such that : \(a=bq+r,\; \; where \; 0\leq r < b\) ;
here , the number y is divided by x , that means , the divisor is "x" , the dividend is "y" ,
the quotient is denoted by "q" ;
and the remainder is denoted by "r" ;
So , According to Division Lemma :
we can write ; the relation between x,y,p,r as ⇒ \(y=xq+r\) , where \(where \; 0\leq r < x\) .
Therefore , the relation between x,y,p,r is \(y=xq+r\) .
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Find the geometric mean between 6 and 21.
Answer:
13.5
Step-by-step explanation:
That is the mean between 6 & 21
Other things being equal, the margin of error of a confidence interval increases as:
a) the sample size increases.
b) the confidence level decreases.
c) the population standard deviation increases.
d) none of the above.
The margin of error of a confidence interval increases as:
c) the population standard deviation increases.
The margin of error (MOE) is influenced by three factors: the confidence level, the population standard deviation, and the sample size.
1. Confidence level: As the confidence level increases, the margin of error also increases because a higher confidence level requires a wider interval to ensure that the true population parameter is captured.
2. Standard deviation: As the population standard deviation increases, the margin of error also increases. A higher standard deviation indicates more variability in the population, leading to a wider confidence interval to account for this variability.
3. Sample size: As the sample size increases, the margin of error actually decreases because a larger sample provides more accurate estimates of the population parameter.
Therefore, among the given options, the margin of error of a confidence interval increases as the population standard deviation increases (option c).
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You are going to build a new garage similar to the rectangular one you currently have. The current dimensions are 16 feet wide by 24 feet long. You need to stake and rope off where the concrete will be poured. If the new garage is going to have a width of 24 feet, how much rope are you going to need?-60 feet-120 feet-112 feet-56 feet
You are going to build a new garage similar to the rectangular one you currently have. The current dimensions are 16 feet wide by 24 feet long. You need to stake and rope off where the concrete will be poured. If the new garage is going to have a width of 24 feet, how much rope are you going to need?
-60 feet
-120 feet
-112 feet
-56 feet
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional , and this ratio is called the scale factor
In this problem
the scale factor is
24/16=1.5
so
the length is equal to
what is the remainder when 7 · 8 · 9 · 15 · 16 · 17 · 23 · 24 · 25 · 43 is divided by 11?
The remainder when 7 . 8 . 9. 15 . 16 . 17 . 23. 24. 25. 43 is divided by 11 is 10.
To find the remainder when 7 · 8 · 9 · 15 · 16 · 17 · 23 · 24 · 25 · 43 is divided by 11, follow these steps:
1. Calculate the product:
7 · 8 · 9 · 15 · 16 · 17 · 23 · 24 · 25 · 43
= 12,20,22,02,88,000.
2. Divide the product by 11:
3,652,761,600 ÷ 11.
3. Determine the remainder:
In this case, the remainder is 10.
So, the remainder when 7 · 8 · 9 · 15 · 16 · 17 · 23 · 24 · 25 · 43 is divided by 11 is 10.
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expand and simplify: 2(2t+3)-6(4t-4)
Answer:
Step-by-step explanation:
2(2t+3)-6(4t-4)
Multiply 2 with 2t+3 in the brackets and -6 with 4t-4,
= 4t+6-24t+24
Rearranging the equation,
= -24t+4t+24+6
= -20t+30
= -10(2t-3)
This could be the simplified form of this expression.
Yo imma need this quick.
Answer:2 11/12
Step-by-step explanation:
7/12+28/12= 35/12= 2 11/12
28/12=7/3 btw
2 4/12+7/12=2 11/12
Answer:
Ok the answer is going to be 35/12
try that I hope I helped you
Step-by-step explanation:
Ray AT bisects MAR. If m MAT = (6x - 4) and m RAT = (2x + 8), what is is the m MAR
Answer:
∠MAR = 28
Step-by-step explanation:
Given angle MAR bisected by ray AT to form angle MAT = (6x-4) and RAT = (2x+8), you want to know the measure of MAR.
Angle bisectorAn angle bisector divides an angle into two congruent parts:
∠MAT = ∠RAT
6x -4 = 2x +8
4x = 12 . . . . . . . . add 4-2x
x = 3 . . . . . . . divide by 4
Then the measure of one of the halves is ...
∠RAT = 2x +8 = 2·3 +8 = 14
So, the measure of the whole is ...
∠MAR = 2·14
∠MAR = 28
Summarize the three conditions that must be checked before carrying out significance tests.
We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.
What is random, normal and independent conditions?There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.
Any survey is carried out objectively.
It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.
Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.
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8
loo
Write each expression in the correct category in the chart.
5
Less than
8
5
Greater than
8
5
Equal to
00
Answer:
To divide powers with the same base and to simplify expressions with negative exponents. 1. Vocabulary Review. Is the expression x5 an exponent or a power
Step-by-step explanation:
six less than a number,x, is 38. what is the value of x
Answer:
44
Step-by-step explanation:
x-6=38
or, x= 38+6
hence, x=44
Answer:
44
Step-by-step explanation:
38 + 6 = 44
x = 44
6 less than 44 (x) is 38
PLEASE HELP WILL BE MARK BRAINLIEST!
If anyone could help it would be much appreciated.