HELP FOR BRAINLIEST ANSWER

HELP FOR BRAINLIEST ANSWER

Answers

Answer 1

Answer:

(motorboat speed is 40 km/h)

(current speed) = 10 km/h

Step-by-step explanation:

Ok, let the speed of the water current be x and the speed of the motorboat be y. Then, the speed of the motorboat upstream

against the current is (x - y)

Putting it into the equation, we get,

5h (x - y) = 150 km or

(x - y) = 30 km/h -  1

Now, downstream speed is (x + y).

Again, forming it into equation, we get,

3(x + y) = 150

x + y = 50 km/h  -   2

Adding both equations, we get,

2x = 80 km/h

x (motorboat speed is 40 km/h)

40 - y = 30 km/h

y(current speed) = 10 km/h

Answer 2

Answer:

still water (s): 40 mph

current rate (c): 10 mph

Step-by-step explanation:

We are given two things:

1) 5 hours to travel 150 mi upstream

2) return trip 3 hours downstream

Note that when the boat goes upstream, it must push against the current, versus when it goes downstream, the current helps the boat to move. Also keep in mind the trip is always 150 mi both ways.

With that said, lets set up the problem. First, let s be the rate of the boat in still water, and let c be the rate of the current. We must keep in mind that when the boat goes upstream, it impedes its overall speed. So our equation for that looks like:

5(s-c)=150 (use for upstream)

And downstream would look like:

3(s+c)=150 (use for downstream)

Now that we have both equations, the next step is to expand them. You should get the two following equations:

5s-5c=150 AND 3s+3c=150.

Essentially, we are going to need to solve a system of equations here. You must add them to solve. First, multiply the first equation above by 3 and get 15s-15c=450 and multiply the second one by 5 and get 15s+15c=750.

When we add them we will get the following equation as a result: 30s=1200. Now divide both sides by 30 revelaing s to be 40. Now substiute in:

3(40)+3c=150

120+3c=150

-120      -120

3c=30

c=10

The system of equations is now solved revelaing the speed of the boat in still water to be 40 and the current speed to be 10.


Related Questions

Isabella filled her pool with water at a constant rate.
The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes)Time Water2 1847 9412 4How fast did Isabella fill her pool?

Answers

Isabella fills her pool at a rate of 18 liters per minute as per the given condition.

The slope of the volume can be used to determine how quickly it changes when given Time t in minutes and Volume V in liters. That represents a change in volume relative to a change in time.

m = (v2-v1)/(t2-t1).

selecting the first two points (2, 184) and from the provided data (7, 94).

Volume remains in the pool at what rate =

(94-184)/(7-2) = -90/5 = -18.

Therefore the rate at which Isabella fills her pool is 18 liters/minute as per the given question.

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the length of a rectangle is 1 yd more than twice the width, and the area of the rectangle is 45 yd2. find the dimensions of the rectangle. length : yd width : yd

Answers

On solving the provided question, we can say that in rectangle W = 4.5 yd since we are unable to have a negative length. L = 2W + 1 = 10 yd

What is rectangle?

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

length  rectangle is 1 yd more than twice the width: L = 2*W + 1

e area of the rectangle

[tex]45 = L*W\\45 = (2W + 1)*W\\45 = 2W2 + W\\0 = 2W2 + W - 45\\[/tex]

Factors

x[tex](2W-9)(W+5)\\W = 4.5 and -5[/tex]

W = 4.5 yd since we are unable to have a negative length. L = 2W + 1 = 10 yd

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A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of
the second number and 5. The situation can be represented by using the graph below, where x represents the second
number.
46-
14-
42-
10+
8-
6
2-
2-
246
8 10 12 14 16 x
Which equations represent the situation?
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

First number 7

Step-by-step explanation:

First, let's make the first number y and the second number x

Next, we write our equations which are y=1/2x+3 and y=1/4x+5

Then, we set those two equations equal to each other and then solve for x

The first step of the equation is to add/subtract like terms, I subtracted 5 on each side of the equation, our new equation is 1/4x=1/2x-2, I then subtracted 1/2x on each side so now our equation is -1/4x=-2. We then multiply 1/4 by its reciprocal on each side. Its reciprocal is -4.

Now that we know x is equal to 8 now we can fill x into the original equations which were y=1/2x+3 and y=1/4x+5 you don't have to solve both, just one of your choosing.

Therefore your answer! .

Keilantra has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $488.20.
She buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05.
She plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each.

Write and solve an inequality which can be used to determine
x
x, the number of outfits Keilantra can purchase while staying within her budget.

Answers

Answer:

We know that Keilantra has $660 to spend, she has already spent $488.20 on a bicycle, $11.17 on two reflectors and $19.05 on a pair of gloves.

We can represent the amount spent on reflectors as 2 * $11.17 = $22.34

So the total amount spent so far is:

$488.20 + $22.34 + $19.05 = $529.59

We can represent the remaining amount of money she has to spend on outfits as:

$660 - $529.59 = $130.41

We can use this remaining amount to find out the number of outfits she can purchase by dividing the remaining amount by the cost of each outfit:

$130.41 / $37.26 = 3.5

The inequality that represents this situation is:

x <= 3.5

Where x is the number of outfits Keilantra can purchase while staying within her budget.

This inequality tells us that Keilantra can purchase at most 3.5 biking outfits while staying within her budget.

However, since the number of outfits has to be a whole number, the greatest number of outfits that Keilantra can buy is 3.

I need this answer asap

Answers

Answer:

According to phythagorian theorem

Hypotenus (square) = Base(square) + perpendicular (square)

H^2 = B^2 + P^2

now by substitution

H^2 = 9 +16

H^2 = 25

taking roots

Hypotenus= 5

I got 7.5…………. I jjggg

The difference of 2 times a number and -19 is -5. Find the number.

Answers

n = the number

2n - 3/4 = 1/2

2n = 1/2 + 3/4 = 2/4 + 3/4 = 5/4

2n = 5/4

n = 5/8

There are 270 students in year 7

each student studies one of french or german or spanish.

of these 270 students

2

study french

9

the number who study french : the number who study spanish = 3:7

42 boys study german

of the students who study german, what percentage are boys?

you must show your working.

Answers

Answer is 60 % is the percentage of boys studying German .

So, for this one, you must first determine the number of French students.

Simple method:

[tex]\frac{1}{9}[/tex]  is 270 divided by 9, which equals 30, hence  [tex]\frac{2}{9}[/tex]of 270 is 60. The result of multiplying [tex]\frac{1}{9}[/tex] by 2 to get [tex]\frac{2}{9}[/tex] is 60.

French is being studied by 60.

When you apply this to the French to Spanish ratio of 3:7, you get 3 and 60 on the same side. In order to get to 60, you must multiply 3 by 20. (or divide 60 by 20 to get 3).

Therefore, 20 is the number you use to apply the same formula to the other side of the ratio.

To reach 140, multiply 7 by 20 (or 7 by 10, then multiply that number by 2).

Spanish is being studied by 140.

After subtracting the French and Spanish from the overall number, you are left with 70 German speakers at 270-140-60.

42 of these 70 are males. 28 females are produced by 70-42. The percentage of males studying German is [tex]\frac{42}{70}[/tex]. This is equivalent to [tex]\frac{6}{10}[/tex], and you multiply a fraction by 10 to convert it to a percentage ([tex]\frac{60}{100}[/tex] in this case).

Additionally, 60% is equal to [tex]\frac{60}{100}[/tex]  .

Your response is thus 60%.

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7y+10x=−11 4y−3x=−15 ​
X=
Y=

Answers

Answer:

x= 108/61; y=-163/61

Step-by-step explanation:

On a cold day in November, the recorded low temperature was -10 degrees Celsius (ºC) in Pennsylvania. On the same day, the recorded low temperature was in 0ºC Michigan, -20ºC in Minnesota, and 16ºC in Florida. Which list shows the states in order from coldest to warmest?

Florida, Michigan, Pennsylvania, Minnesota

Michigan, Pennsylvania, Florida, Minnesota

Pennsylvania, Minnesota, Michigan, Florida

Minnesota, Pennsylvania, Michigan, Florida

Answers

Answer:

The last option:

Minnesota, Pennsylvania, Michigan, Florida

Step-by-step explanation:

Coldest to warmest:

-20°C, -10°C, 0°C, 16°C

Then the order is:

Minnesota, Pennsylvania, Michigan; Florida

whats the axis of symmetry y=|x-5|+1

Answers

Answer:

[tex]y \: = | \: x - 5| + 1[/tex]

The path of a ball is given by the rectangular equation . Use the result of Exercise 31 to find the position vector. Then find the speed and direction of the ball at the point at which it has traveled feet horizontally.

Answers

The direction of the ball at this point is <1/8, -4, 96/8>

The Position Of The Vector

The position vector of the ball can be found by taking the derivative of the rectangular equation with respect to time:

r(t) = <8t, -16t², 32t³>

To find the speed of the ball at the point where it has traveled 64 feet horizontally, we can use the magnitude of the velocity vector, which is the derivative of the position vector with respect to time:

v(t) = <8, -32t, 96t²>

|v(t)| =√(8² + (-32t)² + 96t⁴) = 8*√(1 + t² + 3t⁴)

We need to find the time t at which the ball has traveled 64 feet horizontally. We know that x = 8t, so we can set x = 64 and solve for t:

8t = 64

t = 8

At t = 8, the speed of the ball is:

|v(8)| = 8√(1 + 8² + 3(8⁴)) = 8√(65) = 8*8 = 64

To find the direction of the ball at this point, we can use the unit vector of the velocity vector:

v(t) = <8, -32t, 96t²> / |v(t)|

v(8) = <8, -256, 6144> / 64 = <1/8, -4, 96/8>

So the direction of the ball at this point is <1/8, -4, 96/8>

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The photograph club is selling hot chocolate at games to raise money for the new cameras the table shows a profit per game for the first five games based on the average profit per game how much money can the club expect to earn by the end of the 10 game season

Answers

The amount of money that the club expects to warn by the end of the 10 game season would be = $27.06

How to calculate profit made by the photograph club?

The profit made at the end of the first game = -12.50

The profit made at the end of the second game= -10.15

The profit made at the end of the third game= 18.65

The profit made at the end of the fourth game= 25.90

The profit made at the end of the fifth game = 45.75

First we find the average profit made in the first five games such as;

= -12.50 + -10.15 + 18.65 + 25.90 + 45.75

= 90.3 −22.65 = 67.65/5 = 13.53

Therefore for the next five games which will make it up to 10 game he is expected to have a profit of 13.53×2 = $27.06.

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y=6\left(2\right)^{x-4}-1

Answers

y = 6(2)^(x-4)-1 is an exponential function with a base of 2 and an exponent of x-4. The coefficient of the base, 6, is called the leading coefficient. The constant term, -1, is the y-intercept, the point where the graph of the function crosses the y-axis. The function is also a shifted version of the basic exponential function y= a*b^x, where a is the leading coefficient and b is the base of the function.

Since the base of the function is 2, the graph of the function will increase or decrease at an increasing rate. The leading coefficient of 6 will affect the steepness of the graph, making it steeper than the basic exponential function y=2^x. The horizontal shift of the graph is 4 units to the left, as the exponent has x-4 instead of x.

In terms of symmetry, the graph of this function has no symmetry.

The function has no rotational symmetry because it is not repeated after any rotation around the origin.

The aquarium has 10 more red fish than blue fish. 60% of the fish are red. How many blue fish are in the aquarium? Show your work.

Answers

Answer:

20 blue fish

Step-by-step explanation:

r=red fish, b=blue fish. r = 10+b. 60%r=r+b. (10+b)= 0.6(r+b); 10+b = 0.6(2b+10); 10+b=1.2b+6; 4=0.2b; b=20.

Is half and 0.5 same?

Answers

Answer: Yes.

Step-by-step explanation:

0.5 is also the same as 1/2

How do you find the absolute value of positive and negative numbers?

Answers

The absolute value of a negative number will always be a positive number.

As discussed above, regarding the absolute number, therefore, the absolute value of a negative number will always be a positive number.

for example, |-24| = 24

The absolute value of any number will always be a positive number.

As discussed above, regarding the absolute number, therefore, the absolute value of any number will always be a positive number.

for example, |-24| = 24

Positive numbers will always have a higher absolute value than negative numbers.

As discussed above, regarding the absolute number. therefore, the absolute value of any number will always be a positive number, which will be equal in value.

for example, |-24| = 24

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Use the table of values to evaluate the expressions below.

Answers

We can use the table to evaluate the compositions of the functions, we will get:

f(g(6)) = 3g(f(0)) = 8f(f(4)) = 4g(g(1)) = 1How to evaluate the expressions below?

Here we have a table for functions f(x) and g(x), and we want to use that table to evaluate the compositions of the functions.

First, we want to get f(g(6))

Using the table, we can see that g(6) = 0, then:

f(g(6)) = f(0)

And using the table we can see that f(0) = 3, then:

f(g(6)) = 3

The second composition is:

g(f(0))

We know that f(0) = 3

g(f(0)) = g(3)

And using the table g(3)=  8, then:

g(f(0)) = 8

The third one is:

f(f(4))

We can see that f(4) = 7

So: f(f(4)) = f(7)

And again, you can find f(7) on the table to see that f(7) = 4

Then:

f(f(4)) = 4

The last composition is:

g(g(1))

You can see that g(1) = 1

Then:

g(g(1)) = g(1) = 1

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X-N(5.7, 0.61). Find the z - score corresponding to an observation of 4.7. a. 1.64 b. -1.64 c. 1.02 d. -1.02

Answers

The Z-score is (b) -1.64.

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score. A Z-score of 1.0 would indicate a value that is one standard deviation from the mean. Z-scores may be positive or negative, with a positive value indicating the score is above the mean and a negative score indicating it is below the mean.

To find the z-score corresponding to an observation of 4.7, we can use the formula:

z = (x - mu) / sigma

where x is the observation, mu is the mean, and sigma is the standard deviation.

Given that X-N(5.7, 0.61) we can substitute

z = (4.7 - 5.7) / 0.61 = -1.64

So the answer is (b) -1.64.

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f(-5) = 2,ƒ(7) = - 4
Please help

Answers

Answer:

f(x) = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

f(x) = mx + c ( m is the slope and c the y- intercept )

given f(- 5) = 2, that is when x = - 5 , y = 2

f(7) = - 4, that is x = 7, y = - 4

the 2points (- 5, 2 ) and (7, - 4 ) lie on the line

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 2 ) and (x₂, y₂ ) = (7, - 4 )

m = [tex]\frac{-4-2}{7-(-5)}[/tex] = [tex]\frac{-6}{7+5}[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex] , then

f(x) = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation of the line

to find c substitute either of the 2 points into the partial equation

using (- 5, 2 ) , then

2 = - [tex]\frac{1}{2}[/tex] (- 5) + c = [tex]\frac{5}{2}[/tex] + c ( subtract [tex]\frac{5}{2}[/tex] from both sides )

- [tex]\frac{1}{2}[/tex] = c

f(x) = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{2}[/tex] ← equation of line

What is a ratio Class 6?

Answers

A ratio is a comparison of two or more numbers expressed as a fraction, such as 3/4 or 4:5. It is used to compare the size or amount of two or more objects or quantities. Ratios can also be expressed as a percent or as a decimal.

A ratio is a comparison of two or more numbers expressed as a fraction. The ratio is written as two numbers separated by a colon (:), or as a fraction. The numbers in the ratio are compared to each other to indicate the size or amount of the objects or quantities being compared. For example, 3:4 means that for every 3 objects, there are 4 of the other object. This can also be written as a fraction, 3/4, to indicate that for every 3 objects, there are 4 of the other object. Ratios can also be expressed as a percent or as a decimal. For example, 3:4 can be expressed as 75% or 0.75.

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1) Solve for a
a+6=6 a-5= -8 a x -10= 100 (5+2a) ÷ 17 = 3

2) A rectangular field has an area of 49m. If its not a square field and the dimension is a whole number then
a) What are the dimensions of the field?
b) What is the perimeter of the field?
c) Make an equation that shows how you could find the answer to A



3) The following are the first 5 terms in a patterns: 3,5,7,9,11...
a) Make a T chart of term
b) Come up with a pattern rule relating T and V

Answers

1.

a+6=6

Solving for a:

a = 0

a-5= -8

Solving for a:

a = -13

a x -10= 100

Solving for a:

a = -10

(5+2a) ÷ 17 = 3

Solving for a:

a = -4

2.

a) The dimensions of the field are 7m by 7m.

b) The perimeter of the field is 28m.

c) To find the area of the field, you could use the equation: length x width = area. In this case, the length and width are both 7m, so the equation would be 7m x 7m = 49m^23

3.

a) T | V

1 | 3

2 | 5

3 | 7

4 | 9

5 | 11

b) The pattern rule is that the value (V) is 2 greater than the previous value.

Pablo is considering two housekeeping services. Premier housekeeping charges $25 for travel to Pablo's house and $65 per hour for cleaning his house. Best house care does not have a travel fee, but charges $75 per hour for cleaning. PART A: write a system of equations that represents the housekeeping services. PART B: without solving the system of equations, explain what the solution represents. ​

Answers

The solution represents the number of hours of cleaning and cost of two housekeeping services, Premier and Best House Care.

What is algebraic equation ?

An algebraic equation is a mathematical expression containing one or more variables and an equal sign, where the goal is to find the value(s) of the variable(s) that make the equation true. The equation is formed by combining numbers, variables.

PART A:

Let x be the number of hours of cleaning that Premier Housekeeping provides, and let y be the number of hours of cleaning that Best House Care provides. The system of equations representing the housekeeping services is:

Premier Housekeeping: 25 + 65x = cost in dollars

Best House Care: 75y = cost in dollars

PART B:

The solution of this system of equations represents the point (x,y) in the coordinate plane, where x represents the number of hours of cleaning that Premier Housekeeping provides and y represents the number of hours of cleaning that Best House Care provides. The cost in dollars of each service will be given by the corresponding equation: the cost of Premier Housekeeping will be 25 + 65x, while the cost of Best House Care will be 75y.

The solution represents the number of hours of cleaning and cost of two housekeeping services, Premier and Best House Care.

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military radar and missile detection systems are designed to warn a country of enemy attacks. a reliability question deals with the ability of the detection system to identify an attack and issue the warning. assume that a particular detection system has a 0.91 probability of detecting a missile attack. answer the following questions using the binomial probability distribution: what is the probability that one detection system will detect an attack? if required, round your answer to two decimal places. fill in the blank 1 if two detection systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack? if required, round your answer to two decimal places. fill in the blank 2 if 3 systems are installed, what is the probability that at least one of the systems will detect the attack? if required, round your answer to four decimal places. fill in the blank 3 would you recommend that multiple detection systems be operated? explain. the input in the box below will not be graded, but may be reviewed and considered by your instructor.

Answers

A detection system has a probability of 0.91 to detect a missile attack. It is recommended to have multiple detection systems as it increases the overall probability of detecting an attack and allows for redundancy in case one system fails.

The probability that one detection system will detect an attack is: 0.91If two detection systems are installed in the same area and operate independently, the probability that at least one of the systems will detect the attack is: 1 - (0.09)² = 0.9801If 3 systems are installed, the probability that at least one of the systems will detect the attack is: 1 - (0.09)³ = 0.99291Yes, it is recommended to have multiple detection systems as it increases the overall probability of detecting an attack. It allows for redundancy in case one system fails and increases the chances of detecting an attack even if one system is not functioning properly.

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Find all the zeros of each equation.
[tex]7x^2-144=-x^4[/tex]

Answers

The equation 7x² - 144 = -x⁴ has the 4 solutions below:

x =  ±3

x =  ±4i

How to find the zeros of the equation?

Here we want to solve the equation below:

7x² - 144 = -x⁴

We can redefine the variable:

y = x²

Replacing that we will get:

7y - 144 = -y²

y² + 7y - 144 = 0

So we have a quadratic equation now, the using the quadratic formula we will get:

[tex]y = \frac{-7 \pm \sqrt{7^2 - 4*1*144} }{2} \\\\y = \frac{-7 \pm 25 }{2}[/tex]

Then the two solutions are:

y = (-7 + 25)/2 = 9

y = (-7 - 25)/2 = -16

And we know that:

y = x²

Then:

x = ±√9 = ±3

x = ±√-16 = ±4i

These are the 4 solutions.

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Answer the screenshot

Answers

The domain of the given function f(x) = √(x⁴ - 1) include the following: C. {x|x ≤ -1 or x ≥ 1}.

What is a domain?

In Mathematics, a domain simply refers to the set of all real numbers for which a particular function is defined. Additionally, the horizontal extent of a graph represents all domain values (input values) and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

Next, we would use an online graphing calculator to plot the graph of the given function f(x) = √(x⁴ - 1). By critically observing the graph of this function shown in the image attached below, we can reasonably and logically deduce the following domain:

Domain = (-∞, 1) U (1, ∞)

By using set builder notation, the domain of this function f(x) = √(x⁴ - 1) can be re-written as follows;

Domain = {x|x ≤ -1 or x ≥ 1}.

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(PLS HELP!!!!)

What are the degree and leading coefficient of the polynomial?
-6u+u²-23u-3
Degree:
Leading coefficient:

Answers

Degree: 2

Leading coefficient: -1 (The leading coefficient is the coefficient of the term with the highest degree in the polynomial, in this case, the coefficient of u², which is -1)

Degree 2

Leading coefficient: -1

A total of $6,000 is invested in 2 funds. One of the funds is paying 4% interest and the other is paying 6% interest. The total interest earned in one year was $280. What is the amount of money that was invested in each fund?

Answers

Answer:

Answer for the investment problem: Fund 1 was $4,000  Fund 2 was $2,000

Answer for the tickets problem: 123 student tickets were sold and 235 non-student tickets were sold.

Step-by-step explanation:

Sorry I have to go so I don't have time to type up the explanation nicely, but here is my work.  Have a great night!

B) El tamaño de las pantallas de televisión viene dado por la longitud en pulgadas de la diagonal de la pantalla. Si un televisor mide 40 pulgadas y tiene 95 cm de base, ¿Cuál será su altura? Recuerda que la pulgada tiene 2,54cm.

Answers

Answer: english please so I can answer it

Step-by-step explanation:

Answer:

√80 pulgada

Step-by-step explanation:

Convirtiendo 95 cm a pulgadas,

95/2,54 = 37,40 pulgadas

Ahora, la diagonal dada es de 40 pulgadas

Usando el teorema de Pitágoras, (40)²=(37,4)² + h² (Suponiendo h como altura)

h² = 40² - 37,4²

= 80

o h = √80 pulgada

There were 640 gallons of water in a 1600-gallon pool. Water is being pumped into the pool at a rate of 320 gallons per hour. Write and solve an equation to find how many hours it will take to fill the pool.


Word problems aren't my strong suit, they always get me confused.

Answers

Answer:

Let's call the number of hours it takes to fill the pool "h".

We know that the initial amount of water in the pool is 640 gallons, and water is being added at a rate of 320 gallons per hour. To find out how many hours it will take to fill the pool to 1600 gallons, we can set up the following equation:

640 + (320h) = 1600

To solve for h, we'll subtract 640 from both sides of the equation:

320h = 960

Then divide both sides by 320:

h = 3

So it will take 3 hours to fill the pool with water.

It will take 3 hours to fill the pool.

Amount of water that can fit in the pool= 1600 gallons.

The amount of water already present= 640 gallons.

Therefore, the amount of water required to fill the pool= 1600-640 = 960 gallons

The rate at which the water is being pumped= 320 gallons/ hour

Therefore, the time needed to fill the pool= the quantity to be supplied/ the rate at which the water is being pumped

=> 960/ 320

=> 3 hours.

Therefore, the time required to fill the pool completely is 3 hours.

Learn more about equations at:

https://brainly.com/question/15707224

a 6-foot man is running away from the base of a streetlight that is feet high. if he moves at the rate of feet per second, how fast is the length of his shadow changing?

Answers

As per the unitary method, the length of his shadow changing is 30 feet.

The term unitary method is known as a process of finding the value of a single unit, and based on this value.

Here we have given that a 6-foot man is running away from the base of a streetlight that is feet high.

Then let us consider that the man be x feet away from the street light and his shadow length be y,

Here we have also consider that let the tip of the shadow be l feet away from the light is written as

=> l = x + y

Here we are given that,

=> dx/dt=2

Then as per the concept of similar triangles, we can write it as,

=> x/5 = 6x+6/31

=> 31x = 30x + 30

=> x = 30

To know more about unitary method here.

https://brainly.com/question/28276953

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