I'm doing a project for math where I have to come up with a real-life story problem using the Pythagorean theorem. I need to write a story problem of finding a leg.

Please help me
I'll give brainiest

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 315}}{\left( \cfrac{40}{100} \right)315}\implies 126~\hfill \underset{\textit{after discount}}{\stackrel{315~~ - ~~126}{189}}[/tex]

If usual price for flight is $315.00, the airline is offering a 40% discount until the end of the month. then the cost of the flight after the discount is 126.

percentage, a relative value indicating hundredth parts of any quantity.

Given that an airline is trying to promote its new Boston to Atlanta flight.

the usual price for this flight is $315.00.

The discount offered by airlines is 40%.

We need to find the cost of the flight after the discount.

Convert 40% to decimal by dividing with 100.

40/100=0.4

Now multiply 0.4 with 315

0.4×315

Zero point four times of three hundred and fifteen.

126

Hence, the cost of the flight after the discount is 126.

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Answer: a= pq/2 p= 4a

Step-by-step explanation:

The unknown number is x .

An equation to find the value of x :-

[tex]x + 5 = - 4[/tex]

Let us solve this equation :-

[tex]x + 5 = - 4[/tex]

[tex]x = - 4 - 5[/tex]

[tex]x = - 9[/tex]

The value of x is -9 . Let us place -9 in the place of x , to check whether or not we have found out the correct value of x .

So :-

[tex] - 9 + 5 = - 4[/tex]

[tex] - 4 = - 4[/tex]

[tex]LHS = RHS [/tex]

As the left hand side of the equation is equivalent to the right hand side of the equation, we can conclude that we have found out the correct value of x .

Therefore , -9 + 5 = -4 and ( x = -9 ) .

5+x=-4 is equation of sentence 5 more than a number x is -4 and -9 is the solution of equation.

Two or more expressions with an Equal sign is called as Equation.

The given sentence is 5 more than a number x is -4.

Whenever there is a more than in a sentence means added with some number.

Let us consider the number be x.

5 more than a number x is -4 means 5 is added to number x which gives -4.

5+x=-4

This is the equation for the sentence.

Now let us solve the equation.

5+x=-4

Subtract 5 from both sides

x=-4-5

x=-9

Hence, 5+x=-4 is equation of sentence 5 more than a number x is -4 and -9 is the solution of equation.

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Answer: $0.32

Rounded to the nearest penny = tenths.

We must round 0.325675 to the nearest tenth.

Answer = 0.32.

Hope this helps!

Answer:

Curtis will get $38.40 back

Step-by-step explanation:

First, we need to find out how much "real" money he has. The equation I did was:

50 + 30 + 30 + 8 = 118

Next, we must convert this into dollars, by multiplying by 0.325675

118 x 0.325675 = 38.42965

We round 38.42965 to the nearest penny:

38.42965

    -->   2 rounds down to 0, so we keep just the $0.40

our answer is:

$38.40

Answer:

The angle is 112 degrees and the supplement is 68 degrees.

Step-by-step explanation:

Let the angle’s measure be represented by x and the supplement’s measure be represented by y. Since supplementary angles add to 180 degrees, x + y = 180.

Since the supplement is 44 degrees less than the angle,

y + 44 = x

We can substitute y + 44 = x for x in the first equation, since they are equivalent.

y + 44 + y = 180

2y + 44 = 180

2y = 136

y = 68

Substitute 68 for y in one of the original equations and solve.

68 + 44 = x

x = 112

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{9}} x-7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so then we can say that

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{2}{9}} ~\hfill \stackrel{reciprocal}{-\cfrac{9}{2}} ~\hfill \stackrel{negative~reciprocal}{-\left( -\cfrac{9}{2} \right)\implies \cfrac{9}{2}}}[/tex]

so we're really looking for the equation of a line whos slope is 9/2 and passes through (2 , 3)

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{9}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{9}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-3=\cfrac{9}{2}x-9\implies \boxed{y=\cfrac{9}{2}x-6}[/tex]

now as far as the parallel line

keeping in mind that parallel lines have exactly the same slope, so we're really looking for the equation of a line whose slope is -2/9 and passes through (2 , 3)

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{2}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{2}{9}}(x-\stackrel{x_1}{2}) \\\\\\ y-3=-\cfrac{2}{9}x+\cfrac{4}{9}\implies y=-\cfrac{2}{9}x+\cfrac{4}{9}+3\implies \boxed{y=-\cfrac{2}{9}x+\cfrac{31}{9}}[/tex]

Answer:

she made 80% of the shots over the 2 days

Answer:

26 seconds

Step-by-step explanation:

39 - 13 = 26

Answer: wut?

Step-by-step explanation:

Answer:

Speed of the boat is 9.4mph and the current is 15.4mph

Step-by-step explanation:

Rate= distance/ time

With current; rate= boat+ current= b+c

Against current; rate= boat - current = b- c

30=3(b+c)••••••••••••••eqn(1)

30=5(b-c)•••••••••••••••••eqn(2)

30=3b +3c••••••••••••••eqn(3)

30=5b-5c•••••••••••••••eqn(4)

Solve simultaneously

b=12mph

From eqn(3)

30=3b +3c

Divide both sides by 3, we have

10= b+c

If we make "b" the subject of the formula we have

b= (10-c)••••••••eqn(5)

Divide both side of eqn(4) by 5 we have

6=b-c••••••••eqn(7)

Substitute eqn(5) into 7

6= (10-c)-c

6= 10c-c^2

C^2-10c+6

C= 9.4 or 0.64

Substitute the highest value 9.4 into equation 7

6=b-9.4

b=6+9.4

b= 15.4

Speed of the boat is 9.4mph and the current is 15.4mph

The only answer possible is 11 if we are talking whole numbers but something with decimals might work as well, I mean 22 only has 2 dividends and that is 11X2 and 22X1

Answer:

25 degrees?

Step-by-step explanation:

5x + 4 + 2x + 1 = 180

7x + 5 = 180

7x = 175

x = 25 i think???

idrk about the second question though sorry!

Answer:

The numbers are 20 and 10.

Step-by-step explanation:

Let's say these teo numbers are x and y.

The sum of two numbers is 30

x + y = 30
Isolate y
y = 30 - x

Their quotient is 2
plug the newfound y value in the second equation.

x / y = 2

[tex]\frac{x}{30-x} = 2[/tex]

multiply both sides by (30 - x) to get rid of the fraction.

x = 2(30 - x)

x = 60 - 2x

x + 2x = 60 + 2x

3x = 60

dividie both sides by 3

x = 20

find y

y = 30 - x

y = 30 - 20 = 10
y = 10

The numbers are 20 and 10.

Answer:

10 and 20.

Step-by-step explanation:

x + y = 30

x/y = 2

x = 2y so substituting in the first equation:

2y + y = 30

y = 10

and  x + y =30

so x + 10 = 30  giving x = 20.

Answer:

7/25

Step-by-step explanation:

because its .28

The greatest between the 25% or [tex]\frac{7}{25}[/tex] should be considered as the [tex]\frac{7}{25}[/tex] because it is 28%.

Since one percentage i.e. 25% and one fraction i.e. [tex]\frac{7}{25}[/tex]

We need to determine greater between these two

So the fraction in percentage could be 28%

So we can say that the fraction should be bigger.

hence, The greatest between the 25% or [tex]\frac{7}{25}[/tex] should be considered as the [tex]\frac{7}{25}[/tex] because it is 28%.

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Answer:

Acute angle

Step-by-step explanation:

Since the angle is less than 90 degrees

The inverse of any function is where you sway the 'y' and 'x' positions.

Thus if the equation is [tex]y = 4x[/tex]

The inverse is:

  [tex]x = 4y\\y = \frac{1}{4} x\\[/tex]

Therefore the inverse is  [tex]h(x) = \frac{1}{4} x[/tex]

Hope that helps!

Answer: 2

Step-by-step explanation:

7 divided by 3.5 is 2

Solution:

We know that:

This means that:

Step-by step calculations:

Combine like terms and simplify:

Subtract 126 both sides:

Divide 2 both sides:

This means that one angle is 27°. Let's find the other angle.

Finding the other angle:

Thus, the measure of the angles are 27° and 153°.

Answer:

27° and 153°

Step-by-step explanation:

Let "x" represent the angle.

We know that supplementary angles must add up to 180 degrees.

First, let's set up an expression for the supplement of the angle "x":

x+126

Now, let's use this information to set up an equation:

[tex]x+x+126=180[/tex]

Combine like terms:

[tex]2x+126=180[/tex]

Subtract 126 from both sides:

[tex]2x=54[/tex]

Divide both sides by 2

[tex]x=27[/tex]

The supplement would be:

[tex]x+126=27+126=153[/tex]

Therefore the measures of the two angles are:

27° and 153°

Answer:

I’m not sure about I-ready, everyone has different ones but I’ll give you some options.

A rectangle is a quadrilateral

A rectangle is a parallelogram

Unless I-ready is asking bout which SHAPE can be a rectangle then it’s a lot of different options.
A square can be a rectangle

Or a parallelogram with the givens being able to fit in to all the things that defines as a rectangle.

These are the options I can think of but pretty sure theres more. But it’s I-ready so it’s not complicated.

Answer:

y=2x-1

Step-by-step explanation:

May God bless you and your family during this spring break

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{4}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{2}(x-\stackrel{x_1}{2}) \\\\\\ y-3=2x-4\implies y=2x-1[/tex]

6.25

meters per second or

22.5

kilometers per hour

Explanation:

1500

meters in

4

minutes or

240

seconds means

1500

240

=

1500

25

240

4

=

25

4

=

6.25

meters per second (dividing by

60

)

or

6.25

×

3600

=

22500

meters per hour

or

22.5

kilometers per hour.

Answer:

9 weeks

Step-by-step explanation:

Answer:

It will take 9 weeks

Step-by-step explanation:

Answer:

Levi is fine a_f

Step-by-step explanation:

Answer:

i dont know what AOT is

Step-by-step explanation:

Answer:

4a=4a

Step-by-step explanation:

first you multiply 4 to a then 4 to 2 you'll have 4A + 8 = 8 + 4A you subtract 8 to both sides which will make 0 and the only thing you'll have is 4a equals 4a and that's the answer

Answer: All Real Numbers

Step-by-step explanation:

All Real Numbers . Just completed this quiz

Answer: here

Step-by-step explanation:

The answer comes from the derivation of a straight line model for the cost vs students. Note that the change in cost of 145-135.50 = 9.50 for an increase of students from 25 to 30. The ratio of change of cost to change of students = 9.50/5 = 1.9 and becomes the slope coefficient "m" in the formula y= mx + b. y = the total cost, mx becomes the variable cost and b becomes the fixed cost. To find b, use the data point given where the total cost = $135.50 when the students = 25, or 135.50 = 1.9*25 +b. Solving for b yields $ 88. Note that the other data point is where the total cost is $145 for students = 30. Using the new total cost equation shows that 30*1.9+88= 145 thus verifying the math model works for the data points provided.

Answer:

-155/4

Step-by-step explanation:

-53 + 62/ 4

⬇️

-53 + 62/4

Add

-155/4