Answers
Answer:
18+[tex]6\sqrt{5}[/tex]
Step-by-step explanation:
Since the helicopter flies east for six miles and north for 12 miles, it flies 18 miles. Then on the way back, it flies an unknown amount of miles. the path the helicopter takes is in the form of a triangle, and the path back is the hypotenuse of the triangle. To find the hypotenuse, we can do [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse. We do
[tex]6^2+12^2=c^2\\36+144=c^2\\180=c^2\\\sqrt{180}=c\\ 6\sqrt{5}=c[/tex]Therefore, the total distance flown by the helicopter is 18+[tex]6\sqrt{5}[/tex].
Related Questions
If quadrilateral abcd is an isosceles trapezoid, which statements must be true? select three options bc ∥ ad bd ⊥ ac ba ≅ cd be ≅ ed ∠cba ≅ ∠bcd
Answers
The true statements among the given options are written below
bc || ad
ba ≅ cd
∠cba ≅ ∠bcd
In an isosceles trapezoid, there is one pair of legs of equal length and a pair of parallel lines.
Given that quadrilateral abcd is a isosceles trapezoid.
In the given trapezoid abcd
bc || ad ( pair of parallel sides )
So this is correct.
ba ≅ cd ( For an isosceles trapezoid legs are equal)
So this is correct
∠cba ≅ ∠bcd (According to the property of isosceles trapezoid )
So this is correct.
Hence, bc || ad, ba ≅ cd, ∠cba ≅ ∠bcd are correct
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a water tank contains 200 gallons before water is added at a constant rate for six hours until there is 500 gallons in the tank. the faucet is then turned off and the plug is removed so that the tank loses all of its water in over a 10 hour period. write an absolute value function that models the amount of water in the tank V(t) in terms of elapsed time, (t) then state it’s domain.
Answers
Answer:
200+500
Step-by-step explanation:
its wrong i answered the wrong question
1. Annie and her friends are playing a game called Doubles. In the game, a player
rolls two number cubes at the same time. The outcome of each roll is the sum of the
two number cubes. Extra points are scored for rolling doubles the same number
on both number cubes.
-
Part A: Complete this table to show the sample space for each roll in the game. (6
points)
HELP ASAP WILL GIVE BRAINLIEST!!!!
Answers
Answer:
There are 6 possible outcomes for die A and 6 possible outcomes for die B.
Each of the 6 outcomes of die A can be combined with each of the 6 outcomes of die B. Therefore the total number of possible outcomes for each roll is given by:
6*6=36
Can someone please help
Answers
Answer:
31,41,51,71
Step-by-step explanation:
Answer:
The answer is: 31,41,51,71
What is the measure of this line?
80 mm
840mm
84mm
80.4 mm
Answers
Answer:
84 mm
Step-by-step explanation:
1 cm = 10 mm
8.4 cm = 84 mm
Add: -5x + (3x-8)
answer asap if possible pls
Answers
Answer:
-2x-8
Step-by-step explanation:
-5x + (3x-8)
-5x +3x -8
-2x - 8
Answer:
-2x-8
Step-by-step explanation:
-5x+(3x-8)
-5x+3x-8
-2x-8
Try this
Which expression is equivalent to 6^-3?
Answers
1/216 is the equivalent expression for the given exponent [tex]6^{-3}[/tex].
An algebraic expression is a mathematical expression involving mathematical operations, variables, numbers, and mathematical quantities and combinations of them.
A negative exponent is the reciprocal of the same exponent with a positive value.
The reciprocal of any number is given by the fraction with the number as denominator and 1 as the numerator.
Here the given negative exponent is given by,
[tex]6^{-3}[/tex]
The exponent with positive value of the given negative exponent is given by [tex]6^3[/tex]
Reciprocal of the above exponent with positive value is given by,
[tex]\frac{1}{6^3}[/tex]
So now Calculating the negative exponent we have,
[tex]6^{-3} = \frac{1}{ {6}^{3} } = \frac{1}{216} [/tex]
Hence the equivalent expression for the given negative exponent is 1/216.
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If sin theta < 0 and tan theta > 0 then
Answers
If sin theta < 0 and tan theta > 0 as described in the task content, then, cos theta < 0 and 180<theta <270.
What is correct about angle theta as described?From the task content, it was described that sin theta < 0 and tan theta > 0.
Upon recall of angle quadrants, it follows that only the 3rd quadrant angles have positive tan values and negative sin values. Hence, it follows that the angle theta is in the 3rd quadrant and also has cos theta < 0.
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Can someone pls help me?
I'm not sure how to convert a logarithm to natural logarithm.
only (a)
Answers
Answer:
[tex] \frac{2 ln(5) }{3 ln(2) } [/tex]
Step-by-step explanation:
[tex] log_{8}(25) = \frac{ ln(25) }{ ln(8) } = \frac{ ln( {5}^{2} ) }{ ln( {2}^{3} ) } = \frac{2 ln(5) }{3 ln(2) } [/tex]
Identify the equivalent expression of z + z + z + z
4z
4 + z
2z
3z
Answers
The Answer Is:
4z
Hope this helped!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Question reads....}[/tex]
[tex]\large\textbf{Identify the equivalent expression z + z + z + z}\downarrow[/tex]
[tex]\huge\textbf{Let's find out which one is equal to}\\\\\huge\textbf{the following expressions:}[/tex]
[tex]\large\textbf{z + z + z + z}[/tex]
[tex]\large\textbf{= 1z + 1z + 1z + 1z}[/tex]
[tex]\large\textbf{= 2z + 1z + 1z}[/tex]
[tex]\large\textbf{= 3z + 1z}[/tex]
[tex]\large\textbf{= 4z}[/tex]
[tex]\huge\textbf{Anwer:}[/tex]
[tex]\huge\boxed{\textsf{Option A. 4z}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15.
Predict which statements are true about the intervals of the continuous function. Check all that apply.
f(x) > 0 over the interval (−, 3).
f(x) ≤ 0 over the interval [0, 2].
f(x) < 0 over the interval (−1, 1).
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).
Answers
The true statements about the function are:
f(x) ≤ 0 over the interval [0, 2].f(x)>0 over the interval (-2,0)f(x) ≥ 0 over the interval [2,∞)How to determine the true statement?The table of values is given as:
x f(x)
-3 -15
-2 0
-1 3
0 0
1 -3
2 0
3 15
From the table, the function values do not exceed 0 at the interval 0 to 2.
This means that f(x) ≤ 0 over the interval [0, 2].
Also from the table, the function values exceeds 0 at the intervals greater than -2 but less than 0
This means that f(x)>0 over the interval (-2,0)
Also from the table, the function values are at least 0 at the intervals greater than 2
This means that f(x) ≥ 0 over the interval [2,∞)
Hence, the true statements are (b), (d) and (e)
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Answer:
The answers are B, C, and D
Step-by-step explanation:
Edge 2023
Two trees are next to each other in a clearing. The first tree is 13 feet tall and casts an 8-foot shadow. The second tree casts a 33-foot shadow. How tall is the second tree to the nearest tenth of afoot?
Answers
tall. Given Two trees are growing
in a clearing. The first tree
What is the midpoint of the line segment given endpoints (-9,1) and (-5,-9)
Answers
The midpoint formula is:
((x2 + x1)/2 , (y2 + y1)/2)
All we need to do it plug in the coordinates accordingly
((-5 - 9)/2 , (-9 + 1)/2)
Simplify:
(-14/2 , -8/2)
(-7, -4) is your answer
Answer:
Hello! The answer to your question is (-7, -4).
Step-by-step explanation:
To solve this problem, you have to use the midpoint formula:
[tex](\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Now, we can substitute our values in:
[tex](\frac{-9 + -5}{2}, \frac{1 - 9}{2} )\\= (\frac{-14}{2} , \frac{-8}{2}) \\= (-7, -4)[/tex]
Find a in degrees.
√58
3
7
α
Answers
Answer:
23.20
Step-by-step explanation:
join my stream for an explanation
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Answer:
α ≈ 23.20°
Step-by-step explanation:
given all 3 sides of the triangle , then any of the trig ratios may be used, that is sine, cosine or tangent to find α
tanα = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{3}{7}[/tex] , then
α = [tex]tan^{-1}[/tex] ( [tex]\frac{3}{7}[/tex] ) ≈ 23.20° ( to the nearest hundredth )
or
sinα = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{\sqrt{58} }[/tex] , then
α = [tex]sin^{-1}[/tex] ( [tex]\frac{3}{\sqrt{58} }[/tex] ) ≈ 23.20° ( to the nearest hundredth )
or
cosα = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{7}{\sqrt{58} }[/tex] , then
α = [tex]cos^{-1}[/tex] ( [tex]\frac{7}{\sqrt{58} }[/tex] ) ≈ 23.20° ( to the nearest hundredth )
For what values of x will the function f(x) = 3x² + 13x - 10 equal zero?
Answers
Answer:
x = - 5 , x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
the values of x that make f(x) zero are the zeros
to find the zeros let f(x) = 0 , that is
3x² + 13x - 10 = 0
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
the factors are + 15 and - 2
use these factors to split the x- term
3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )
3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term
(x + 5)(3x - 2) = 0
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]
Bricklayer Ben places 42 bricks per hour. Bricklayer Bob places 36 bricks per hour. Bricklayer Bob worked twice as many hours as Bricklayer Ben, and the two of them placed a total of 1254 bricks. How many bricks did Bricklayer Ben place
Answers
Bricklayer Ben placed a total of 462 bricks.
How to use equation to find the number of bricks placed?Bricklayer Ben places 42 bricks per hour.
Bricklayer Bob places 36 bricks per hour.
Let
x = number of hours worked by Bricklayer Bob
y = number of hours worked by Bricklayer Ben
Therefore,
x = 2y
42y + 36x = 1254
42y + 36(2y) = 1254
42y + 72y = 1254
114y = 1254
y = 1254 / 114
y = 11
Hence, Bricklayer Ben placed a total of 42 × 11 = 462 bricks.
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convert (-6, pi/2) into rectangular coordinates
Answers
The conversion of (6, pi/2) from polar into rectangular coordinates is (0, 6)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The conversion from polar to rectangular coordinates is:
x = rcosФ and y = rsinФ
Hence:
x = 6cos(π/2) = 0, y = 6sin(π/2) = 6
The conversion of (6, pi/2) from polar into rectangular coordinates is (0, 6)
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If y varies directly with x and
y = 48 when x = 6, find y if x = 3.
First, find the direct variation equation.
y = [? ]x
Answers
so y=(k)x
sub y=48 and x=6
48=6k
k=8
now you got a constant k
now sub x=3
y=(8)(3)
=24
What is the measure of ∠D?
Answers
Answer:
28°Step-by-step explanation:
the triangles are similar, so same angles
the sum of the interior angles of a triangles is 180°
take away from 180° the know angles and you will have your answer
180 - 62 - 90 =
28°
If Gabriel takes a 25 question multiple choice test and receives a score of 52%, how many questions did he answer correctly
Answers
Answer: 13 questions
Step-by-step explanation:
52% of 25 is 13
25/x=100%/52%
x=13
Suppose 40% of American singers are Grammy award winners. If a random sample of size 743 is selected, what is the probability that the proportion of Grammy award winners will differ from the singers proportion by less than 3%
Answers
Using the normal distribution, it is found that there is a 0.905 = 90.5% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 3%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].The proportion and the sample size are given, respectively, by:
p = 0.4, n = 743
Hence the mean and the standard error are given, respectively, by:
[tex]\mu = p = 0.4[/tex][tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.4(0.6)}{743}} = 0.018[/tex]The probability that the proportion of Grammy award winners will differ from the singers proportion by less than 3% is the p-value of Z when X = 0.43 subtracted by the p-value of Z when X = 0.37, hence:
X = 0.43:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.43 - 0.4}{0.018}[/tex]
Z = 1.67
Z = 1.67 has a p-value of 0.9525.
X = 0.37:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.37 - 0.4}{0.018}[/tex]
Z = -1.67
Z = -1.67 has a p-value of 0.0475.
0.9525 - 0.0475 = 0.905.
0.905 = 90.5% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 3%.
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Triangle QRS is dilated according to the rule DO,2 (x,y).
On a coordinate plane, (0, 0) is the center of dilation. Triangle Q R S has points (negative 3, 3), (2, 4), and (negative 1, 1).
What is true about the image ΔQ'R'S'? Select three options.
Which statements are true?
DO,2 (x,y) = (2x, 2y)
Side Q'S' lies on a line with a slope of -1.
QR is longer than Q'R'.
The vertices of the image are closer to the origin than those of the pre-image.
The distance from Q' to the origin is twice the distance from Q to the ori
Answers
The correct options about the dilation are; Options A, B and E
How to interpret Dilated Objects?
From the given information, find attached a dilated image.
The scale factor is 2
QRS → Q'R'S' = (x,y) → 2(x,y)
The coordinates of ∆QRS are; Q (-3, 3), R (2, 4) and S (-1, 1)
To get the coordinates of Q'R'S', we would multiply each coordinate of the original triangle by the scale factor of 2 since the dilation is from the origin. In other words, each vertex of QRS is multiplied by 2 to get each of the vertex of Q'R'S'.
2(x, y) = (2x, 2y)
The coordinates of ∆Q'R'S' becomes: Q' (-6, 6), R' (4, 8), S' (-2, 2)
To determine the statements that are true about the image ΔQ'R'S,
Starting with ΔABC, we would draw the dilation image of the triangle with a center at the origin and a scale factor of 2.
A) DO, 2 (x, y) = (2x, 2y)
A dilation about the origin with a scale factor 2 is described using the above notation.
Q' = 2(-3,3) = [2(-3), 2(3)] = (-6, 6)
R' (4, 8) = 2(2,4) = [2(2), 2(4)] = (4, 8)
S' (-2, 2) = 2(-1,1) = [2(-1), 2(1)] = (-2, 2)
Thus Option A is correct.
B) Side Q'S' lies on a line with a slope of -1
Q' (-6, 6)
S' (-2, 2)
coordinate (x, y)
Slope = m = (change in y)/(change in x)
m = (6-2)/[-6-(-2)]
m = 4/(-6+2) = 4/-4
m = -1
Option B is correct
c) QR is longer than Q'R'
Length of QR (-3 to 2) = 5
Length of Q'R' (-6 to 4) = 10
QR is not longer than Q'R'
Option C is false
d) The vertices of the image are closer to the origin than those of the pre-image.
From the diagram, the vertices of the preimage are closer to the origin than those of the dilation image.
Option D is False
e) The distance from Q' to the origin is twice the distance from Q to the origin.
The distance from Q' to the origin (6 to 0) = 6
The distance from Q to the origin (3 to 0) = 3
The distance from Q' to the origin = 2(the distance from Q to the origin)
Option E is correct.
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Which ordered pair comes from the table ?
Answers
Answer:
B
Step-by-step explanation:
The only x,y pair in the table is 4,2
There are 27000Ib of wheat to be transported, the transport company wants to know how many metric tonnes of wheat they would be transporting.
Answers
The quantity of wheat to be transported by the company in metric tonnes is; 1.224 metric tonnes.
How many metric tonnes of wheat is to be transported?Since it follows that 1 metric tonne is equivalent to 2205 lb. It therefore follows that the quantity which is equivalent to 2700lb to be transported is;
= 2700/2205 = 1.224
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An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than 13 pounds. A consumer activist decides to test the authenticity of the claim. She follows the progress of 30 women who recently joined the weight-reduction program. She calculates the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds. The test statistic for this hypothesis would be __________.
Answers
The test statistic for the hypothesis would be 1.413.
Given that the participants in its new diet program lose, on average, more than 13 pounds and the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds.
The objective is to text the advertisement's claim that participants in new diet program lose weight, on average, more than 13 pounds.
Hypothesis:
Null hypothesis:H₀:μ=13
Alternative hypothesis:Hₐ:μ>13
Here, μ be the mean weight loss of all participants.
n=30,
Degree of freedom n-1=30-1=29
[tex]\bar{x}[/tex]=13.8 and s=3.1
To test the null hypothesis H₀, the value of test static would be calculated as follows:
[tex]\begin{aligned}t&=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}\\ t_{29}&=\frac{13.8- 13}{\frac{3.1}{\sqrt{30}}}\\ &=\frac{0.8}{0.566}\\ &=1.413\end[/tex]
Hence, the value of the test static for the hypothesis with the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds is 1.413.
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What would the altimeter read if Janelle were at sea level? What do the positive readings on the altimeter represent? What do the negative readings on the altimeter represent?
.
Answers
Step-by-step explanation:
a square has the same perimeter as a 5cm by 7cm rectangle. which of the following area of the square
Answer:
At sea level, the altimeter would read 0 feet. Any positive readings on the altimeter would indicate she is above sea level. Any negative readings on the altimeter would indicate she is below sea level.
Step-by-step explanation: PLATO
Given the six rational numbers below, come up with the greatest sum, difference, product,
and quotient, using two of the numbers for each operation.
-5 1/2
3.75
-20.8
8
-4
11 1/4
Answers
The greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.
How to determine the operationsGiven the numbers -5 1/2, 3. 75, -20. 8, -4, 11 1/4
a. SUM
=8 + [tex]11* \frac{1}{4}[/tex]
= [tex]8 + \frac{45}{4}[/tex]
= [tex]\frac{32 + 4}{4}[/tex]
= [tex]\frac{36}{4}[/tex]
= 9
B. Difference
= 8 - (-4)
= 8 + 4
= 12
C. Product
= [tex]8 * \frac{45}{4}[/tex]
= [tex]2 * \frac{45}{1}[/tex]
= 90
D. Quotient
= [tex]8 * 3. 25[/tex]
= 26
Thus, the greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.
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The sum of Andys, James, and Declans age is 33. What will the sum their ages in 3 years
Answers
Answer:
one hundred and two years
Answer:
42
Step-by-step explanation:
Each ages at the same rate. In 3 years, all will be 3 years older.
ApplicationThe sum of their ages now is ...
A +J +D = 33
In 3 years, the sum will be ...
(A +3) +(J +3) +(D +3) = (A +J +D) +(3 +3 +3) = 33 +9 = 42
In 3 years, the sum of their ages will be 42.
HELP HELP HELP HELP HELP
Answers
Answer:
3√5 or ≈ 6.71
Step-by-step explanation:
The Distance Formula is d = √((x2-x1)² + (y2-y1)²)
Given Points: (-3, 2) and (0, -4)
Points: (x1, y1) and (x2, y2)
Find the difference between coordinates:
(x2 - x1) = (0 - (-3)) = 3
(y2-y1) = (-4 - 2) = -6
Square the results and sum them up:
(3)² + (-6)² = 9 + 36 = 45
Now Find the square root and that's your result:
Exact solution: √45 = 3√5
Approximate solution: 6.7082
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In a batch of 8,000 clock radios 4% are defective. A sample of 7 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?
Answers
Using the hypergeometric distribution, there is a 0.2486 = 24.86% probability that the entire batch will be rejected.
What is the hypergeometric distribution formula?The formula to find the hypergeometric distribution formula is
P(X=x)=P(x, N, n, K)[tex]=\frac{C_{k, x} C_{N-k, n-x} }{C_{N, n} }[/tex]
[tex]C_{n, x} =\frac{n!}{(n-x)!}[/tex]
The parameters are:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
For this problem, the values of the parameters are given as follows:
N = 8000, n = 7, k = 0.04 x 8000 = 320
The probability that the entire batch will be rejected is P(x≥1), given as follows: P(x≥1)=1-P(X=0)
In which,
P(X=0)=P(0, 8000, 7, 320)[tex]=\frac{C_{320, 0} C_{7680, 7} }{C_{8000, 320} }=0.7514[/tex]
Now, P(x≥1)=1-0.7514=0.2486
Therefore, 0.2486 = 24.86% probability that the entire batch will be rejected.
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