Answer:
∆QRS / ∆XZY = 1/2
Step-by-step explanation:
You want the similarity ratio of ∆QRS to ∆XZY. Side lengths are marked in the diagram.
The similarity ratio will be the ratio of two corresponding side lengths.
Corresponding sidesYou can find corresponding sides several ways:
Use the similarity statement to identify corresponding vertices. A side will be defined by 2 of them. Use vertex identifiers that are in the same positions in both triangle names: QR : XZ (first two vertices listed), for example.Use the markings in the figure to identify corresponding sides. Corresponding sides will have the same angle marks at either end. For example, the side marked 1 in ∆QRS has 1-arc and 3-arc angle markings at its ends. The side marked 2 in ∆XZY also has 1-arc and 3-arc angle markings at either end. It will be the corresponding side.Use side lengths. When both triangles have their side lengths sorted into increasing order, the corresponding numbers are corresponding sides. The side lengths in ∆QRS are {1, 2, 2}. In ∆XZY, they are {2, 4, 4}.The ratios of corresponding sides are 1:2, 2:4, and 2:4. The 2:4 ratios reduce to 1:2, which is the answer you're looking for. Written as a fraction, the ratio is ...
1/2 . . . . ratio of ∆QRS to ∆XZY
8x+3y=7. 2x+y=2. Solve with graphical method
Step-by-step explanation:
8x + 3y = 7 --------(1)
2x + y = 2 ----------(2)
y = 2 – 2x ---------(3)
just substitute for y in equation (1)
8x + 3(2–2x) = 7
8x + 6 – 6x = 7
8x – 6x + 6 = 7
2x = 7 – 6
2x = 1
x = ½
since x = ½ just substitute for x in equation(3)
y = 2 – 2x
y = 2 – 2(½)
y = 2 – 1
y = 1
so x = ½,y = 1
i hope this helped
is the wonderful wizard of oz a parable to teach the lessons of the populist era at the end of the 19 th century?
The Wonderful Wizard of Oz, according to American historian Henry Littlefield, was a metaphor for the 1890s Populist movement, which was an uprising by disaffected manufacturing and agricultural workers to gain control from the financial elite. Littlefield made this claim in 1964.
What is Wizard of Oz?Judy Garland's character Dorothy and her dog Toto are carried away in their home to the fantastical country of Oz as a cyclone tear across Kansas.
As they travel along the Yellow Brick Road to the Emerald City to visit the Wizard, they encounter characters like the brainless Scarecrow (Ray Bolger), the heartless Tin Man (Jack Haley), and the Cowardly Lion (Bert Lahr).
The Wizard of Oz set and filming process was toxic, from bosses demanding their injured and sickly players return to set despite still needing to heal to the director smacking a 16-year-old and forcing her to take drugs to control her hunger and keep thin.
Therefore, the Wonderful Wizard of Oz, according to American historian Henry Littlefield, was a metaphor for the 1890s Populist movement, which was an uprising by disaffected manufacturing and agricultural workers to gain control from the financial elite. Littlefield made this claim in 1964.
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Diana arrives late at the theater for a play.
Her ticket entitles her to sit anywhere in Circle
G. She had hoped to sit in Seat D, which she
thought would give her the widest viewing
angle of the stage. But Seat D is taken, as
are all the other nearby seats in Circle G. The
seating chart for the theater is shown.
Identify two other spots where Diana can sit
that will give her the same viewing angle she
would have had in Seat D. Explain how you
know how your points would provide the
same viewing angle, and support your claim
by showing the viewing angles on the
drawing.
We have to set ∠AMN equal to ∠D.
What are angles?
In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.
Label the rows (A nearest the screen, through G at back) and the seat numbers (starting with 1 on the far left of the diagram) and count towards the right.
The seat is not equal to 1 and will align to point D.
Viewing angle is in terms of another angle
Set ∠AMN equal to ∠D.
Hence, we have to set ∠AMN equal to ∠D.
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pls help asap negative two and one third times negative five and fifteen hundredths
Answer:
Step-by-step explanation:
the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.
How to find the product between two mixed numbers?
A mixed number is a number that is written as the addition of a whole number and an improper fraction.
Remember that the mixed number "negative two and one third" is written as:
-2 ¹/₃ = (-2 - 1/3)
Here we want to solve the product:
(-2 - 1/3)*(-5 - 15/100)
Notice that all the signs are negative, so the outcome will be positive:
(-2 - 1/3)*(-5 - 15/100) = 2*5 + (1/3)*5 + 2*(15/100) + (1/3)*(15/100)
= 10 + 5/3 + 30/100 + 5/100
= 10 + 5/3 + 3/10 + 1/20
= 10 + 3/3 + 2/3 + 6/20 + 1/20
= 11 + 2/3 + 7/20 = 11 + 40/60 + 21/60
= 11 + 61/60 = 11 + 60/60 + 1/60 = 12 + 1/60
Then the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.
Answer:
12 1/60
Step-by-step explanation:
-2 1/3 × (-5 15/100) =
= -7/3 × (-5 3/20)
= 7/3 × 103/20
= 721/60
= 12 1/60
either roll or a 7 or 11 on the first roll, or match the point value on a subsequent roll. what's the likelihood of winning after one roll? explain your answer.
The likelihood of winning after one roll in a game is 1/6. This is because there are only two ways to win on the first roll: by rolling a 7 or an 11.
What is Probability?The possibility that an event will occur is gauged by probability. It is a mathematical idea that measures the probability or possibility that a specific event will occur. Probability is expressed as a number between 0 and 1, where 0 denotes that the event is highly unlikely to occur and 1 denotes that it will definitely happen. Making predictions and judgments based on the likelihood of an event occurring is a common use of probability in many disciplines, including statistics, economics, and gambling. The number of successful outcomes is divided by the total number of possible outcomes to determine probability. For example, if a coin is flipped and has a 50% chance of landing on heads, the probability of the coin falling on chiefs is 0.5.
How to solve?
Since there are 6 possible outcomes on a single roll of a pair of dice (1, 2, 3, 4, 5, 6), the likelihood of winning on the first roll is 1/6.
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A rectangle has a length of 12 inches and a width of 2 inches whose sides are changing. The length is increasing by 10 in/sec and the width is growing at 4 in/sec. What is the rate of change of the perimeter?
The rectangle's area is increasing at a pace of 128 in2 /s.
What in math is a rate?
A rate is a unique ratio where the two words are expressed in several units. For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. This ratio compares two dissimilar units: ounces and cents
Give L and W the length and breadth, respectively. The rectangle's surface area is
A = L ⋅ W.
To obtain, differentiate both sides of the aforementioned equation with regard to time t.
dA ⁄ dt = dL ⁄ dt ⋅ W + L ⋅ dW ⁄ dt
Given the circumstances,
dL ⁄ dt = 10 and dW ⁄ dt = 4
So at the moment when L = 12 and W = 2,
dA ⁄ dt = (10)(12) + 4(2 )
= 128
The rectangle's area is increasing at a pace of 128 in2 /s.
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At the grocery store it costs $2.50 per pound of Mac n cheese how much Mac and cheese could you get per dollar?
Please give good example
Answer: 5.6 kg of Mac n cheese per dollar.
Step-by-step explanation:
1 pound = 0.45 kg
So take 2.50 divided by 0.45 = 5.6 kg of Mac n cheese per dollar.
a jar contains 10 blue marbles and 11 red marbles. two marbles are drawn without replacement. what is the probability of getting two red marbles?
0.2620 is the probability of getting two red marbles.
What is probability?Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
a jar contains 10 blue marbles and 11 red marbles.
So, there total 21 marbles are present.
Now among 21 marbles, 11 are red marble. So, odds of a red on the first are 11/21
Next, there are 20 marbles are present and 10 are red. So odds of a red on the second is 10/20.
For, probability both are red, just multiply
= (11/21) x (10/20)
= 0.2620.
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The life in hours of a battery is known to be approximately normally distributed with standard deviation σ = 1. 25 hours. A random sample of 10 batteries has a mean life of x =40. 5hours. A. Is there evidence to support the claim that battery life exceeds 40 hours? Use α = 0. 5. B. What is the P-value for the test in part (a)? c. What is the β-error for the test in part (a) if the true mean life is 42 hours? d. What sample size would be required to ensure that β does not exceed 0. 10 if the true mean life is 44 hours? e. Explain how you could answer the question in part (a) by calculating an appropriate confidence bound on life
a)[tex]$z=\frac{40.5-40}{\frac{1.25}{\sqrt{10}}}=1.265$[/tex]
Now we can calculate the p value since we have a right tailed test the p values is given by:
[tex]p_v=P(Z > 1.265)=1-P(Z < 1.265)=1-0.897=0.1029[/tex]
And since the [tex]$p_v > \alpha$[/tex] we have enough evidence to FAIL to reject the null hypothesis. So then there is not evidence to support the claim that the mean is greater than 40 .
b) [tex]$p_v=P(Z > 1.265)=1-P(Z < 1.265)=1-0.897=0.1029$[/tex]
c) [tex]$\beta=P\left(Z < 1.645-\frac{2 \sqrt{10}}{1.25}\right)=P(Z < -3.409)=0.000326$[/tex]
d) We want to ensure that the probability of error type II not exceeds 0.1, and for this case we can use the following formula:
[tex]n=\frac{\left(z_\alpha+z_s\right)^2 \sigma^2}{(x-\mu)^2}[/tex]
The true mean for this case is [tex]$\mu=44$[/tex] and we want [tex]$\beta < 0.1$[/tex] so then [tex]$z_{1-0.1}=z_{0.9}=1.29$[/tex] represent the value on the normal standard distribution that accumulates 0.1 of the area on the right tail. And we can replace like this:
[tex]n=\frac{(1.65+1.29)^2 1.25^2}{(44-40)^2}=0.844 \approx 1[/tex]
e) For this case we can calculate a one sided confidence interval given by:
[tex]$\left(-\infty, \bar{x}+z_\alpha \frac{\sigma}{\sqrt{n}}\right)$[/tex]
And if we replace we got:
[tex]$40.5+1.65 \frac{1.25}{\sqrt{10}}=41.152$[/tex]
And the confidence interval would be [tex]$(-\infty, 41.152)$[/tex]
And since 40 is on the confidence interval we don't have enough evidence to reject the null hypothesis on this case.
What is null hypothesis?
In a scientific setting, a hypothesis (plural: hypotheses) is a testable claim about the relationship between two or more variables or a suggested explanation for a phenomenon that has been observed.
Part a
We have the following data given:
n=10 represent the sample size
[tex]$\bar{x}=40.5$[/tex] represent the sample mean
[tex]$\sigma=1.25$[/tex]represent the population deviation.
We want to test the following hypothesis:
Null: [tex]$\mu \leq 40$[/tex]
Alternative: [tex]$\mu > 40$[/tex]
The significance level provided was [tex]$\alpha=0.05$[/tex]
The statistic for this case since we have the population deviation is given by:[tex]z=\frac{\bar{x}-\mu}{\frac{-\mu}{\sqrt{n}}}$[/tex]
If we replace the values given we got:
[tex]$z=\frac{40.5-40}{\frac{1.24}{\sqrt{10}}}=1.265$[/tex]
Now we can calculate the p value since we have a right tailed test the p values is given by:
[tex]p_v=P(Z > 1.265)=1-P(Z < 1.265)=1-0.897=0.1029[/tex]
And since the [tex]$p_v > \alpha$[/tex] we have enough evidence to FAIL to reject the null hypothesis. So then there is not evidence to support the claim that the mean is greater than 40 .
Part b
The p value on this case is given by:
[tex]p_v=P(Z > 1.265)=1-P(Z < 1.265)=1-0.897=0.1029[/tex]
Part c
For this case the probability of type II error is defined as the probability of incorrectly retaining the null hypothesis and is defined like this:
[tex]\beta=P\left(Z < z_\alpha-\frac{(x-\mu) \sqrt{n}}{\sigma}\right)[/tex]
Where [tex]$z_\alpha=1.645$[/tex]represent the critical value for the test that accumulates 0.05 of the area on the right tail of the normal standard distribution.
The true mean on this case is assumed [tex]$\mu=42$[/tex], so then we can replace like this:
[tex]\beta=P\left(Z < 1.645-\frac{2 \sqrt{10}}{1.25}\right)=P(Z < -3.409)=0.000326$$[/tex]
Part d
We want to ensure that the probability of error type II not exceeds 0.1, and for this case we can use the following formula:
[tex]n=\frac{\left(z_\alpha+z_\beta\right)^2 \sigma^2}{(x-\mu)^2}[/tex]
The ture mean for this case is [tex]$\mu=44$[/tex] and we want [tex]$\beta < 0.1$[/tex] so then [tex]$z_{1-0.1}=z_{0.9}=1.29$[/tex] represent the value on the normal standard distribution that accumulates 0.1 of the area on the right tail. And we can replace like this:
[tex]n=\frac{(1.65+1.29)^2 1.25^2}{(44-40)^2}=0.844 \approx 1[/tex]
Part e
For this case we can calculate a one sided confidence interval given by:
[tex]\left(-\infty, \bar{x}+z_\alpha \frac{\sigma}{\sqrt{n}}\right)[/tex]
And if we replace we got:
[tex]40.5+1.65 \frac{1.25}{\sqrt{10}}=41.152[/tex]
And the confidence interval would be [tex]$(-\infty, 41.152)$[/tex]
And since 40 is on the confidence interval we don't have enough evidence to reject the null hypothesis on this case.
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Enter segments in the blanks provided that would result in a true equation.
The true equation would be = DE/DF = AB/AC
What does an equivalent ratio look like?
When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.
Are all proportions an equivalent ratio?
Proportional quantities are represented by a collection of corresponding ratios. We can claim, for instance, that 2:3 and 4:6 are proportionate.
Is proportion a constant?
"X is to Y as A Is to B" is how a proportion is expressed. Cross products are the xb and ay products. A proportion's cross products are consistently equal.
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You and a friend both draw a card from a standard deck of 52 cards.If you draw a card, put it back, and then your friend draws, what is the probability you both draw a heart?
Step-by-step explanation:
sign of truelove or truefriendship is the probability of both draw a heart
solve it HURRY if if u can
Answer:
y= 0.25x
Step-by-step explanation:
First, use the slope formula to calculate the slope.
Second, solve for the y-intercept using the slope and one of the points.
Finally, once you've determined m and b, you can enter them into the slope-intercept form of a line (y = mx + b) to obtain the equation for the line.
an industry standard is to randomly select 10% of the completed surveys for purposes of making a call-back to validate that the interview was conducted. true false
False, an industry standard is to randomly select 10% of the completed surveys for purposes of making a call-back to validate that the interview was conducted.
What are industries standards?
A collection of standards within an industry referring to how activities are typically carried out in their respective domains of production.
In other words, it refers to the standards that are commonly accepted by an industry's participants.
Why is this industry norm?
Industry standards are primarily intended to make products compatible with one another and to ensure that consumers can mix and match products from various brands without risk.
Best Industry Standards refers to benchmarks that, taking into account elements like the nature and size of the parties, are in the upper quartile in the relevant industry for the delivery of comparable services that are essentially similar to the Services or the relevant part of them.
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Solve each system of equations without graphing.
5x + 14y = -5
-3x+10y = 72
Answer:
To solve a system of equations without graphing, you can use one of several methods, such as substitution or elimination. Here's how you can solve this system using substitution:
First, solve one of the equations for one of the variables in terms of the other variable. For example, you can solve the first equation for y:
5x + 14y = -5
y = (-5 - 5x) / 14
Substitute this expression for y into the second equation, to get an equation in terms of x:
-3x + 10((-5 - 5x) / 14) = 72
Simplify this equation to get an equation in terms of x:
-3x - 50 - 35x = 72
-38x - 50 = 72
-38x = 122
x = -3.316
Substitute this value for x back into one of the original equations to solve for y:
y = (-5 - 5(-3.316)) / 14
y = (5 + 16.58) / 14
y = 21.58 / 14
y = 1.546
So the solution to the system of equations is (x, y) = (-3.316, 1.546).
Alternatively, you could solve the system using elimination. To do this, you would add the two equations to eliminate one of the variables, and then solve the resulting equation for the remaining variable.
11
Write an equation in slope-intercept form that models the situation. In order to go bowling,
you must pay a one-time fee of $10 for rental shoes, and then pay $3 per game. Let y
represent the total cost of bowling after playing x games. (5 Points)
y = - 10x + 3
y = 10x + 3
y = 10x - 3
y=-3x + 10
y = 3x + 10
Answer:
y=3x+10
Step-by-step explanation:
The formula for an equation in slope-intercept is y=mx+b. m is the slope and b is the y-intercept
The 3 is the slope because it says that you have to pay that amount per game so that is the rate. 10 is the y-int because it says that you have to pay a one-time fee and a y-intercept is just once and isn't a rate.
Given J = 2hr + 2b, solve for h.
Answer: [tex]h = \frac{J-2b}{2r}[/tex]
Work Shown:
[tex]J = 2hr + 2b\\\\J - 2b= 2hr\\\\h = \frac{J-2b}{2r}[/tex]
Explanation:
In the 2nd step, we isolate the "2hr" by subtracting both sides by 2b. This is do unto the +2b done to the right side initially. We want 2hr all by itself since it contains h.
Then to fully isolate h, we divide both sides by 2r. It might help to think of 2hr as 2r*h so you can pull out the terms easier. The division is done to undo the multiplication.
If writing out the final step using a keyboard, then you would say (J-2b)/(2r). Use parenthesis to indicate which terms are being divided.
Butterfly is 3 times blossoms age. In 5 years, butterfly will be 2 times blossoms age.How old is blossom now?
Blossoms age now will be 5 years.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let Blossom age be x
The information will be illustrated as:
3x + 5 = 2(x + 5)
3x + 5 = 2x + 10
3x - 2x = 10 - 5
x = 5.
Therefore, Blossoms age now will be 5 years.
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Find the length of one leg of a right triangle if the length of the hypotenuse is 18 ft and the length of the other leg is 14 ft. Round to the nearest tenth
Using Pythagoras theorem, 11.31 is the length of one leg of a right triangle .
What is the Pythagorean theorem in plain English?
The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together.
This is written as a2 + b2 = c2 in the familiar algebraic notation.
Theorem: a^2 + b^2 = c^2. a and b are the legs, and c is the hypotenuse.
14^2 + b^2 = 18^2
196 + b² = 324
b² = 324 - 196
b = √128
b = 11.31
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two equivalent fractions to 7/8
Answer: 14/16 & 28/32
Step-by-step explanation: For 14/16, is simply multiplied 7/8 by 2 for the numerator and denominator, so 7 x 2 = 14, and 8 x 2=16. And, I did the same thing for 28/32. Just multiply both sides by 4. I hope this helped!
Solve for a:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Answer:
its 14
Step-by-step explanation:
50 didvdied by 20 is 18 so here u go
there are different levels and combinations of concerns among individual students. what is the rationale that supports this statement?
The rationale that supports this statement is:
Situational experiences are interpreted differently.
Now, According to the question:
Let's Know:
What is the Rationale of the Study?
The rationale of the study explains the reason why the study was conducted (in an article or thesis) or why the study should be conducted (in a proposal). This means the study rationale should explain to the reader or examiner why the study is/was necessary.
We know that :
There are different levels and combinations of concerns among individual students.
Hence, The rationale that supports this statement is:
Situational experiences are interpreted differently.
In the question;
There are different levels and combinations of concerns among individual students.
what is the rationale that supports this statement?
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Desiree ran at a speed of 16 km/hr for 30 minutes. She then walked at 8 km/hr for 45 minutes.
What was the total distance that she travelled?
The total distance Desiree travelled was 14km.
Always remember,
Average speed= Total distance travelled/ Total time taken
So, in this case, we have to find the distance,
Distance= Speed × Time
When she ran 16km per hour for 30 minutes,
⇒ Distance= 16×30/60
⇒ Distance= 8km --------------------(1)
When she ran 8km per hour for 45 minutes,
⇒ Distance= 8×45/60
⇒ Distance= 6km --------------------(2)
Adding equations (1) and (2) we get,
⇒ Distance = 8+6=14km
Hence, the Total Distance travelled was 14km.
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Need help answering this question
The measure of ∠JKM is 145°.
What is exterior angle theorem?The measure of an exterior angle of a triangle is bigger than either of the measures of the distant interior angles, according to the external angle theorem, Proposition 1.16 in Euclid's Elements.
Because the parallel postulate is not required for its proof, this is a fundamental conclusion in absolute geometry. Three of a triangle's corners are its vertices.
Two angles are produced by a triangle's sides (line segments) meeting at its apex (four angles if you consider the sides of the triangle to be lines instead of line segments). An interior angle of the triangle is the only one of these angles that has the third side of the triangle inside of it.
Here it is given that, ∠JLK= 70°
∠LJK = x°
(2x-5)°= 70°+x°
now applying exterior angle theorem,
x=75°
substitute 75 for x in 2x-5 to find m∠JKM.
=2x-5
=2×75-5
=145°
Hence, The measure of ∠JKM is 145°
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six distinct integers are selected at random from 2018 2019 2020 2027 what is the probability that among those selected the second smallest in 2020
The probability that among those selected the second smallest in 2020 is 1/3
In this question, we have been given six distinct integers are selected at random from 2018, 2019, 2020, . . . , 2027
We need to find the probability that among those selected the second smallest in 2020.
Here, total integers are: 10
The total number of ways to choose six distinct integers :
10C6
= 10!/6!(10 - 6)!
= 210
Assume 2020 is the second-lowest number.
There are 5 numbers left to choose, 4 of which must be greater than 2020.
This is equivalent to choosing 4 numbers from the seven numbers larger than 2020, and 1 number from the two numbers less than 2020
using combination formula,
7C4 * 2C1
= 35 * 2
= 70
So, the probability would be,
P = 70/210
P = 1/3
Therefore, the required probability is 1/3
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-5(-4/7) as a simplified mixed fraction
Answer:
[tex]2\frac{6}{7}[/tex]
Step-by-step explanation:
-5(-4/7)
First:
A negative multiplied by a negative is positive, so we can remove the negative symbols.
5(4/7)
Multiply:
[tex]\frac{5(4)}{7}[/tex]
20/7
Convert into a mixed number:
2 6/7
PLEASE MARK AS BRAINLIEST!!A Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.
How high above the surface of the water does the anchor begin to drop? Round to the nearest meter.
The height the anchor begins to drop is 17.5 m
How to find how high above the surface of the water does the anchor begin to drop?Since a Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.
Let
h = the height the anchor begins to drops, h' = height of anchor below water surface = 52.5 mThe total height the anchor drops is thus H = h + h'
Now, the total height the anchor drops H = vt where
v = speed of anchor = 3.5 m/s and t = time anchor drops = 20 sSo, equating both equations, we have
vt = h + h'
Making h subject of the formula, we have that
h = vt - h'
Given that
v = 3.5 m/s, t = 20 s and h' 52.5 mSubstituting the values of the variables into the equation, we have that
h = vt - h'
h = 3.5 m/s × 20 s - 52.5 m
h = 70 m - 52.5 m
h = 17.5 m
So, the anchor drops 17.5 m
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which graph represents the solution of the system of inequalities
2x+6y < 6
x + 3y > 12
A caino only ha red playing chip for $10 each and blue playing chip for $5 each. Jack paid $400 to purchae 50 playing chip at the cahier' window. How many red playing chip were given to him?
30 red playing chip were given to him.
Let m be the number of red playing chips and n be the number of blue playing chips.
since Jack purchased 50 playing chips, we get an equation.
m + n = 50 .............(1)
He pais $400 for these 50 chips, so we get an equation,
10m + 5n = 400 ........(2)
From equation (1) we get,
m = 50 - n ...............(3)
Substitute above value of m in equation (2),
10(50 - n) + 5n = 400
500 - 10n + 5n = 400
-5n = -100
n = 20
Substitute above value of n in equation (3),
m = 50 - 20
m = 30
Therefore, the number of red playing chips = 30
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A 2000 ml sample of water was collected and found to have 0.004 mL of oxygen. This is equivalent to?
The percentage of oxygen in the water is 0.0002%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that a 2000 ml sample of water was collected and found to have 0.004 mL of oxygen. Therefore, the percentage oxygen in water is equal to,
Percentage = Volume of oxygen in the water / Volume of water
= 0.004 mL / 2000 mL
= 0.004 mL / 2 mL
= 0.0002% of water
Therefore, the percentage of oxygen in the water is 0.0002%.
Learn more about Percentages here:
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At the start of 2014, Jim's house was worth £240,000.
The value of the house increased by 5% every year.
Work out the value of his house at the start of 2017.
Answer: $146,410
Step-by-step explanation: