Can someone help me with this problem? It’s Special Right Triangles: Decimal Answer. Round to the nearest tenth. Thank you ! 10 points

Can Someone Help Me With This Problem? Its Special Right Triangles: Decimal Answer. Round To The Nearest

Answers

Answer 1

Answer:

h = 1.4

c = 2.8

Step-by-step explanation:

For each problem, remember the special triangle side ratios then use a proportion. To solve, isolate the variable.

For the triangle with the variable h:

Since two of the angles are 45, this is an isosceles triangle. All isosceles triangles have two equal sides that are not the hypotenuse.

In a right isosceles triangle, the ratio for regular side to hypotenuse is 1 to √2.

[tex]\frac{1}{\sqrt2} =\frac{h}{2} \\h = 2\frac{1}{\sqrt2} \\h = \frac{2}{\sqrt2} \\h = \frac{2\sqrt2}{2} \\h = \sqrt{2}[/tex]

h = √2

h ≈ 1.4

For the triangle with the variable c:

The is an equilateral triangle cut in half because the angles are 30 and 60.

The side ratio of altitude to hypotenuse is √3 to 2.

[tex]\frac{\sqrt{3} }{2} =\frac{c}{4} \\\sqrt{3} = \frac{c}{2}\\2\sqrt3 = c[/tex]

c = 2√2

c ≈ 2.8


Related Questions

Which company offers the best deal?

Rent-All, A-1 Rentals, or Car Town

Answers

Answer:

A-1 Rentals

hopefully that helps!!

Answer:

rent all

Step-by-step explanation:

what is the answer/ how do i answer
25 = x + 7

Answers

just subtract 7 from 25. it is 18

Answer:

answer should be x = 18.

Step-by-step explanation:

25 = x + 7

we can also write it as

x + 7 = 25

as we see 7 is positive(+) on LHS( left hand side) so if we move it to RHS( right hand side) the sign will change so the equation will be:

x = 25 - 7

now just simplify it:

x = 18.

What is 16.5% of 33?

Answers

Answer:

5.445

Step-by-step explanation:

[tex]\bold{METHOD\ 1:}\\\\p\%=\dfrac{p}{100}\to16.5\%=\dfrac{16.5}{100}=\dfrac{16.5\cdot10}{100\cdot10}=\dfrac{165}{1000}=\dfrac{33}{200}\\\\16.5\%\ of\ 33=\dfrac{33}{200}\cdot33=\dfrac{1089}{200}=5.445[/tex]

[tex]\bold{METHOD\ 2:}\\\\\begin{array}{ccc}100\%&-&33\\\\16.5\%&-&x\end{array}\qquad\text{cross multiply}\\\\\\100x=(16.5)(33)\\\\100x=544.5\qquad\text{divide both sides by 100}\\\\x=\dfrac{544.5}{100}\\\\x=5.445[/tex]

which fraction is larger 29/71 or 42/100

Answers

Answer:

42/100

The drawings will help

Answer:

42/100

Step-by-step explanation:

Just looking at the fraction, you could guess that one of the fractions is larger. So my guess would be the first one, but I'm guessing which really is only a guess. I like to guess at things like this; it's a little like playing monopoly. Let's find out what the answer really is. So get out your calculator.

29/71: 29 ÷ 71 = 0.4085

42/100: 42/100 = 0.4200

Well if you guessed the second one you are a better guesser than I am

42/100  is larger that 29/71

kimi is playing hide-and-seek with Tommy and Manuel. Tommy is hiding 12 feet south of Kimi, and Manuel is hiding due east of Tommy. If Kimi is 20 feet from Manuel, how far apart are Tommy and Manuel?

Answers

Answer:

Tommy and Manuel are 16 ft apart

Step-by-step explanation:

The locations of all three players are shown in the image below

They form a right triangle where the hypotenuse is 20 ft, and one of the legs is 12 ft. We must find the other leg.

We must use Pythagoras's theorem. Being a and b the legs of a right triangle and c its hypotenuse, then

[tex]c^2=a^2+b^2[/tex]

Knowing c and one of the legs, say b:

[tex]a^2=c^2-b^2[/tex]

Using the values c=20, b=12 we find

[tex]a^2=20^2-12^2=400-144=256[/tex]

[tex]a=\sqrt{256}=16[/tex]

So, Tommy and Manuel are 16 ft apart

i need answers for 1 and 2

Answers

Answer:

c = 10 , d = 26

Step-by-step explanation:

In the rectangular prism, we know the fact that the three faces are mutually perpendicular to each other. So, it has a rectangular base.

Given, the length and breadth of the rectangle are 8 and 6 units, and the diagonal is c.

Since it is a rectangle, length , breadth and diagonal from a right angled triangle.

So we have, c² = 6² + 8² = 36 + 64 = 100

⇒           c = 10 units

For the side face:

Length = 24 units.

As we can see, the edge of the side face is perpendicular to the base of the prism. Which means, any line on the base of the prism is perpendicular to the 24units side edge.

So we can say that , the diagonal of the rectangular base of the prism (c) is perpendicular to the 24 units side face edge.

Hence, 24 , d and c (which is 10units) form a right angled triangle

From pythagoras theorem:

   d² = 24² + 10² = 576 + 100 = 676

d = 26 units

What is the cube root of b27?
ооо

Answers

Answer:

b⁹

Step-by-step explanation:

[tex]\sqrt[3]{b^{27}}=\sqrt[3]{b^{(9)(3)}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt[3]{(b^9)^3}\qquad\text{use}\ \sqrt[n]{a^n}=a\\\\=b^9[/tex]

Answer:

b^9 :)

Step-by-step explanation:

A cylinder and a cone have the same volume. the cylinder has a radius of 2 inches and a height of 3 inches. the cone has a radius of 3 inches. What is the height of the come?

Answers

Answer:h = y^2 / 27

Step-by-step explanation:

Volume of a cylinder = pi*(xx)^2*yy

= x^4*pi*yy

Volume of a cone = 1/3*pi*(9x^2)^2*h

= 27pi*x^4*h

x^4*pi*y^2 = 27pi*x^4*h

h = y^2 / 27

Answer:

4 inches

Step-by-step explanation:

The volume of the cylinder is:

V = π r² h

V = π (2)² (3)

V = 12π

The cone has the same volume, so its height is:

V = ⅓ π r² h

12π = ⅓ π (3)² h

12π = 3π h

h = 4

The height of the cone is 4 inches.

A movie theater has a seating capacity of 383. The theater charges $5.00 for children, $7.00 for students, and $12.00 of
adults. There are half as many adults as there are children. If the total ticket sales was $ 2778, How many children,
students, and adults attended?

Answers

194 children, 92 students, and 97 adults attended

Step-by-step explanation:

The given is:

A movie theater has a seating capacity of 383The theater charges $5 for children, $7 for students, and $12 for adultsThere are half as many adults as there are childrenThe total ticket sales was $ 2778

We need to find how many children,

students, and adults attended

Assume that x represents the number of children, y represents the number of students, and z represents the number of adults

∵ There were x children, y students and z adult attended

∵ The movie theater has a seating capacity of 383

x + y + z = 383 ⇒ (1)

∵ The theater charges $5 for children, $7 for students, and

   $12 for adults

∵ The total ticket sales was $2778

5x + 7y + 12z = 2778 ⇒ (2)

∵ There are half as many adults as there are children

- Half means 0.5

z = 0.5x ⇒ (3)

Substitute equation (3) in equations (1) and (2)

∵ x + y + 0.5x = 383

- Add like terms

1.5x + y = 383 ⇒ (4)

∵ 5x + 7y + 12(0.5x) = 2778

∴ 5x + 7y + 6x = 2778

- Add like terms

11x + 7y = 2778 ⇒ (5)

Let us solve equations (4) and (5) to find x and y

Multiply equation (4) by -7 to eliminate y

-10.5x - 7y = -2681 ⇒ (6)

- Add equations (5) and (6)

∴ 0.5x = 97

- Divide both sides by 0.5

x = 194

Substitute the value of x in equations (4) and (3) to find y and z

∵ 1.5(194) + y = 383

∴ 291 + y = 383

- Subtract 291 from both sides

y = 92

∵ z = 0.5 (194)

z = 97

194 children, 92 students, and 97 adults attended

Learn more:

You can learn more about the system of linear equations in brainly.com/question/6075514

#LearnwithBrainly

Paul has 30$ to spend at the fair if the admission to the fair is 5$ and the rides cost 3.50 each how many rides can paul go on

Answers

Answer:

7

Step-by-step explanation:

Start with $30.

Subtract $5 for the admission: $30 - $5 = $25.

Now he has $25 to spend on rides. Each ride costs $3.5, so we divide $25 by $3.50.

$25/$3.50 = 7.14

Since the number of rides must be a whole number, he can go on 7 rides.

by the time Paul got into the fair he would have already paid admission with his 30 bucks meaning that he would have 25 dollars left for rides and 25 divided by 3.50 is 7.blah blah blah the rest dosent matter so Paul could go on a maximum of 7 rides

Using a new app I just downloaded, I want to cut back on my calorie intake so that I can lose weight. I currently weigh 90 kilograms; my plan is to lose 1.2 kilograms a week until I reach my goal. How can I make an equation to model my weight loss for the next several weeks?

Answers

Answer:

[tex]W_{f}  = 90 - 1.2w[/tex]

Step-by-step explanation:

I want to cut back on my calorie intake so that I can lose weight.

I plan to lose 1.2 kg a week from my current weigh 90 kg until I reach my goal.

Therefore, I can model my weight loss for the next several weeks by the equation  

[tex]W_{f}  = 90 - 1.2w[/tex]  

where [tex]W_{f}[/tex] is my final weight after w weeks of treatment. (Answer)

Final answer:

To model your weight loss, you can create a linear equation using your current weight as the starting point, and representing your weekly weight loss as a negative rate of change. The equation W(t) = 90 - 1.2t will allow you to predict your future weight based on this rate of weight loss.

Explanation:

To develop an equation to model your weight loss, you need to translate the information about your weight loss goals into mathematical terms. You mentioned that your current weight is 90 kilograms and you plan to lose 1.2 kilograms per week.

Imagining that each week is a step forward in time, we can say time is represented by the variable 't' in weeks. Likewise, your weight, which will change as time increases, can be represented by 'w' in kilograms.

Giving weight loss a negative sign (since you are losing, not gaining weight), the amount of weight you will lose per week is -1.2 kilograms. When we start, at time t = 0, your weight is 90 kilograms. So we could represent your weight as a function of time with the equation W(t) = 90 - 1.2t.

In this equation, simply substitute 't' for the number of weeks to predict your weight loss. For example, if you want to find out your weight after 3 weeks, you would calculate W(3) = 90 - 1.2 * 3 = 86.4 kilograms. This is a simplified model and actual weight loss may vary due to factors like metabolic rate, type of food ingested and the amount of calories burned per day.

Learn more about Weight Loss Equation here:

https://brainly.com/question/4326508

#SPJ12

The chance that a positive response is obtained from Chicago fro program 1 is %. The chance that a positive response is obtained from Chicago for program 2 is %.

Answers

Answer:

 The chance that positive response obtained for program 1 is 65.90

And  The chance that positive response obtained for program 2 is 87.50  

Step-by-step explanation:

Given data as :

The positive response for program of different cities in percentage

Now, The positive response is obtained from Chicago for program 1 is 65.90

The total positive response for program 1 in % = 68.80

So, The chance that positive response obtained = 65.90

Again ,

The positive response is obtained from Chicago for program 2 is 87.50

The total positive response for program 1 in % = 81.70

So, The chance that positive response obtained = 87.50

Hence   The chance that positive response obtained for program 1 is 65.90

And  The chance that positive response obtained for program 2 is 87.50  answer

What is perform multiplication with -3(-3+2)-6

Answers

Answer:

-3

Step-by-step explanation:

We must do the subtraction -3 + 2 BEFORE anything else, because any operations inside parenthesis always take first priority.

We end up with:

-3(-1) - 6.  

We must multiply before addiing or subtracting.  Therefore, multiply (-3)(-1), obtaining 3 and complete result 3 - 6.

Finally do that subtraction; the result is -3.

A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 feet. Find the length of the ladder if the length is 4 feet more than its distance from the wall.

Answers

Answer:

I believe the answer is 48

Step-by-step explanation:

Solve this system of linear equations. Separate
the x- and y-values with a comma.
7x - 3y = 37
14x + 11y = 23
Enter the correct answer.​

Answers

Answer:

The solution for the given system of equations is ( 4,-3).

Step-by-step explanation:

Here, the given set of equations is:

7 x - 3 y = 37    ....  (1)

14 x + 11 y = 23   .... (2)

Now, we solve this equation by ELIMINATION METHOD,

Multiply the first given equation with ( -2), we get:

(-2) [7 x - 3 y = 37 ] ⇒   -14 x + 6 y = -74  .... (3)

Adding equation (2) and (3), we get:

14 x + 11 y  +   -14 x + 6 y  = 23 -74

or, 17 y = - 51

or, y = -51/17 = 3

y = -3

Now, out the value of y in the given second equation,we get:

14 x + 11 (-3)  = 23

or, 14 x  = 23 + 33 = 56

or, x =  56/14 =  4

x = 4

Hence, the solution for the given system of equations is ( 4,-3).

a cylindrical well has a radius of 10 feet and a height of 15 feet what volume of water will it take to fill in the well

Answers

Volume of water will it take to fill in the well is 4710 cubic feet

Solution:

Given that a cylindrical well has a radius of 10 feet

Height of cylindrical well = 15 feet

To find: volume of water will it take to fill in the well

Since, the well is in the form of cylinder, This means that we need to find the volume of cylindrical well

The volume of cylinder is given as:

[tex]\text { Volume of water in the well }=\pi r^{2} h[/tex]

Where "r" is the radius and "h" is the height of cylinder

Substituting the given values we get,

[tex]\begin{array}{l}{\text { Volume of water in the well }=(3.14) \times(10)^{2} \times(15)} \\\\ {=(3.14) \times(1500)=4710}\end{array}[/tex]

[tex]\text { Volume of water in the well }=4710 \text { feet }^{3}[/tex]

Hence, the amount of water that can be stored in the well is 4710 cubic feet

Final answer:

The volume of water that will fill the cylindrical well with a radius of 10 feet and height of 15 feet is 1500π cubic feet.

Explanation:

To calculate the volume of water that will fill the cylindrical well, we need to use the formula: V = πr²h. Given that the radius is 10 feet and the height is 15 feet, we can substitute these values into the formula as follows:

V = π(10)^2(15) = 1500π cubic feet.

Therefore, it will take 1500π cubic feet of water to fill the well.

The difference between two numbers is 53. Five times the smaller is equal to 3 more than larger. What are the numbers?

Answers

First, let's assign two variables: one for the bigger one, and one for the smaller one. The smaller number will be represented as 's,' and the bigger one will be 'b.'

Since their difference is 53, we can make an equation:
b - s = 53

Since 5 times the smaller is equal to 3 times the bigger, we can make one more equation:
5s = 3b

We can divide both sides by 5 to simplify this equation:
s = 3b/5

Input this value of 's' into our first equation:
b - (3b/5) = 53

In order to get rid of that pesky denominator, multiply everything by 5:
5b - 3b = 265
2b = 265

b = 132.5
Input this into our first equation to find the smaller number:
s = (3*132.5)/5
s = 79.5

The two numbers are 132.5 and 79.5
-T.B.

- 4(5a - 3b) simplified is?

Answers

Answer:

-20a+12b

Step-by-step explanation:

Answer:

-20a+12b

Step-by-step explanation:

-4(5a-3b)=-20a+12b

How much did Elizabeth invest?

Answers

Yeah, I think it is C...

I don't really have an explanation though.

If I'm wrong, correct me. Hope I helped! ☺☼

Answer:

Option D is the nearest answer.

Elizabeth invested = $45,714

Step-by-step explanation:

Given that:

Total amount = $80,000

Ratio given = 3:4

As the total is divided into 7 parts (3+4) so,

Each part equals = 80,000/7

Each part equals = 11,428.57

Now steive invested = 11,428.57 * 3 = $34,286

Elizabeth invested= 11,428.57*4 = $45,714

i hope it will help you

How do you turn 85 into 9.2

Answers

Answer:

Divide 85 by 9.24

Step-by-step explanation:

What is the answer to the blank?


5% x __ = 3.5

Answers

Answer:

5/100• X = 3.5

X=3.5÷5/100

X=70

The answer is 5% x 70 = 3.5

To solve for the blank in the equation 5% x __ = 3.5, we need to find a number that, when multiplied by 5%, equals 3.5.

First, express 5% as a decimal: 5% = 0.05.

Set up the equation:

0.05 x x = 3.5

Next, solve for x by dividing both sides by 0.05:

x = 3.5 / 0.05

x = 70

Thus, the blank should be filled with 70.

What is the measure of the apothem

Answers

Answer:

The apothem is also the radius of the incircle of the polygon. For a polygon of n sides, there are n possible apothems, all the same length of course. The word apothem can refer to the line itself, or the length of that line. So you can correctly say 'draw the apothem' and 'the apothem is 4cm'.

Final answer:

To find the apothem in geometry, one must utilize trigonometry, knowing the polygon's side length. In astronomy, calculating distances such as the semi-major axis involves understanding celestial mechanics and requires knowing the aphelion and perihelion distances. The problem content combines concepts from geometry and astronomy to discuss angles and distances.

Explanation:

Calculating the Measure of the Apothem

When attempting to find the measure of the apothem of a geometric figure, you're essentially looking for a segment that connects the center of the figure to the midpoint of one of its sides and is perpendicular to that side. This is especially common in regular polygons. However, this particular problem seems to blend geometry and astronomy, discussing the apparent width of the Moon and comparing it using similar triangles.

To calculate the apothem in a regular polygon, you can use trigonometry if you know the length of one of the sides and the number of sides. On the other hand, if the setting involves celestial bodies like the moon and planets, determining an apothem-like distance would involve understanding the object's orbit, size, and distance from the observer.

To compute the semi-major axis of an elliptical orbit, like that of a planet around a sun, you would use the sum of the aphelion and perihelion, divided by two. For instance, if we know the perihelion (rp) and aphelion (ra), we calculate the semi-major axis (a) as (ra + rp)/2.

Remember, an angle is used in astronomy to measure the apparent separation between celestial objects as seen from Earth. Astronomers use degrees to describe these angles, and knowing the angular size can help in estimating distances in space.

To find the aphelion or semi-major axis of an orbit, certain equations are used that involve these distances. Such calculations are essential for understanding celestial mechanics and the movement of objects in our solar system.

8y - 6(3y - 7) what is this simplified?

Answers

Answer:

-10y+42.

Step-by-step explanation:

Distribute.

8y-18y+42

-10y+42

:D I hope this helped you!

Answer:

-10y + 42 would be the answer

Use the ALEKS calculator to write 14/15 as a decimal rounded to the nearest tenth.

Answers

Answer:from calculator

0.9333333333

Answer: 3.3

Step-by-step explanation:

49 divided by 15 =3.26

Rounding 3.26 to the nearest tenth gives you 3.3

0.6 + 0.2x = -0.48
.60
What is the answer

Answers

Answer:

x=-5.4

Step-by-step explanation:

0.6+0.2x=-0.48

0.2x=-0.48-0.6

0.2x=-1.08

x=-1.08/0.2

x=-5.4

Mr. Westnoticed grapes were priced at $2.99 per pound, and bananas were priced at $0.99 per pound. How much would 3 pounds of grapes and 2 pounds bananas cost altogether?
A.$3.98
B.$9.96
C.$10.95
D.$2.96

Answers

This is the answer, hope I wasn’t late

I am horrible at math plz help

Answers

The answer is B I believe, because the parallelogram b is half parallelogram a and is reflected across the y axis, NOT the x.

What is the equation of a line in slope intercept form that passes through the points (-4,3) and (-2,4)

Answers

First find slope.

slope=change in y/change in x (y2-y1/x2-x1)

slope=4-3/-2-(-4)=1/2

Now we need to find the x intercept.

y=mx+b

3=1/2(-4)+b

b=5

So the equation is y=1/2x+5.

A rectangle is 15 ft longer than it is wide it’s area is 1000ft2 what are it’s dimensions

Answers

The dimension of the rectangle is 25 by 40

Let :

width = x length = x + 15

Area of rectangle = x * (x + 15)

1000 = x² + 15x

x² + 15x - 1000 = 0

solving the quadratic equation

x(x - 25) +40(x - 25)

x = 25 or x = -40

The width cannot be negative.

Hence,

width = 25 Length = 25 + 15 = 40

Therefore, the dimension of the rectangle is 25 by 40



Solve this problem on paper using all four steps.

Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?

Julie weighs pounds, Ted weighs pounds, and Mike weighs pounds.

Answers

Answer:

Julie weighs 35 lbs, Ted weighs 70 lbs, Mike weighs 105 lbs.

Step-by-step explanation:

Let the weight of Julie be [tex]x[/tex]

Given:

Ted weighs twice as much as Julie

Weight of Ted = [tex]2x[/tex]

Mike weighs three times as much as Julie.

Weight of Mike = [tex]3x[/tex]

Together, Ted, Mike, and Julie weigh 210 lbs.

[tex]x+2x+3x=210[/tex]

Solving above we get;

[tex]6x=210\\x=\frac{210}{6}=35\ lbs[/tex]

Hence Julie weight is 35 lbs.

Weight of Ted = [tex]2x=2\times 35 = 70 \ lbs[/tex]

Hence Ted weight is 70 lbs.

Weight of Mike = [tex]3x=3\times 35 = 105 \ lbs[/tex]

Hence Mike weight is 105 lbs.

Answer:

Julie weighs 35 lbs, Ted weighs 70 lbs, Mike weighs 105 lbs.

I hope this helps you

Other Questions
the area of a circular plot is 9856 metre square.calculate the cost of fencingthe plot at Rs.32.50 per metre. Elimination reactions are favored over nucleophilic substitution reactions: O at high temperatures. O when tert-butoxide ion is used. O when 3 alkyl halides are used as substrates. O when nucleophiles are used which are strong bases and the substrate is a 2 alkyl halide. O in all of these cases. Tin Pan Alley was located in which city?OA. PhiladelphiaOB. SeattleOc. DenverOD. None of the above What is the value of x in the equation 3x - 1 y = 18, when y = 27?o 5 A proton moves through a uniform magnetic field given by vector B = (10 i hat- 24.0 j hat + 30 k hat) mT. At time t1, the proton has a velocity given by vector v = v x i hat + vy j hat + (2000 m/s) k hat and the magnetic force on the proton is vector Fb = (3.82x10-17 N) i hat + (1.59x10-17 N) j hat. (a) At that instant, what is vx? m/s (b) What is vy? If an activity generates a positive externality, the government can increase total economic surplus by ______the activity, and if an activity generates a negative externality, the government can increase total economicsurplus by ______ the activity.A.taxing; banningB.subsidizing; banningC.subsidizing; taxingD.publicizing; taxing In the life cycle theory of consumption, the motive to save is:A.To be able to open a business.B.To become wealthy.C.To leave a large endowment for one's children.D.To build a family dynasty.E.To afford to retire. Which of the following sentences is most clearly describing a symbol?A. The phrase "kill your darlings" means to delete unneeded writingfrom a storyB. The canary that Mrs. Witherby both neglects and cherishesrepresents her soul.C. Truth, justice and honor are all values that Superman embodies inhis quest for goodness.D. Whenever a death occurs in the movie, a discordant bit of musicplays in the background. A golf-course architect has sixsix linden trees, fourfour white birch trees, and threethree bald cypress trees to plant in a row along a fairway. In how many ways can the landscaper plant the trees in a row, assuming that the trees are evenly spaced? Two balls are thrown horizontally. Ball C is thrown with a force of 20 N, and ball D is thrown with a force of 40 N. Assuming all other factors are equal, ball D will fall toward the ground The slope of line b is zacWhat is the equation of D. simplified?B(2a, 2b)y-y = m(x - x)y-0=(220)(x-c)y=[0]x-(22b)y=(220 fer-(2 bezedy=(22]x- (226)O y=(,20 ]- (250)Ela, b)A(0, 0)Dac, 0)C(2c, 0) HR Industries (HRI) has a beta of 1.8, while LR Industries' (LRI) beta is 0.6. The risk-free rate is 5.5%, and the required rate of return on a stock with a beta of 1 is 12.5%. The expected rate of inflation built into rRF falls by 1.5 percentage points, the real risk-free rate remains constant, the required return on the market falls to 10.5%, and all betas remain constant. After all of these changes, what will be the difference (in percentage points) in the required returns for HRI and LRI? A. 3.8% B. 0.9% C. 1.5% D. 2.4% E. 3.5% Plato Industries' projected sales for the first six months of 2012 are given below: Jan. $250,000 April $300,000 Feb. $340,000 May $350,000 Mar. $280,000 June $380,000 20% of sales are collected in cash at time of sale, 50% are collected in the month following the sale, and the remaining 30% are collected in the second month following the sale. Cost of goods sold is 85% of sales. Purchases are made in the month prior to the sales, and payments for purchases are made in the month of the sale. Total other cash expenses are $70,000/month. The company's cash balance as of February 28, 2012 will be $10,000. Excess cash will be used to retire shortminusterm borrowing (if any). Plato has no short term borrowing as of February 28, 2012. Ignore any interest on shortminusterm borrowing. The company must have a minimum cash balance of $40,000 at the beginning of each month. What is Plato Industries' total cash receipts for April 2012? A. $326,000 B. $340,000 C. $302,000 D. $300,000 Italian fascist party leader during world war 2 Rose knew by the shrillness of her teachers voice that she was really in trouble and would probably be placed in after-school detention. Roses teacher used _____ to communicate dismay. If the following events are arranged in the order in which they occur for an animal hiding and holding still in response to seeing a predator, which is the fourth event in the series? A) information processing in the CNS B) signaling by an efferent PNS neuron C) activation of a sensory receptor In December 2000, currency was $340 billion, traveler's checks were $4 billion; checkable deposits owned by individuals and businesses were $450 billion, saving deposits were $1,900 billion, time deposits were $1,000 billion; and money market funds were $900 billion. What was the M1 in December 2000? You are a fraud investigator working with complex data sets. You decide to the split the data sets into case-specific groupings. This process is known as_______ . a. Stratification b. Deviation c. Data mining d. Soundex What was the mistake made by the organizers of the Soviet oil drilling competition? A) They used engineers estimate for the percentage of completion. B) They compared Soviet performance measures to Western European performance measures. C) They evaluated the teams based on number of meters drilled. D) They failed to integrate both managers and workers on the same teams. E) They set the bonus thresholds too low. Designated agency means the clients do not have the full level of fiduciary duties available to them that they would have if they were fully involved in seller agency or buyer agency. In this situation, the client gives up the fiduciary duty of undivided what?A. LoyaltyB. ConfidentialityC. AccountabilityD. Blind obedience