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

Answer:

-155/4

Step-by-step explanation:

-53 + 62/ 4

⬇️

-53 + 62/4

Add

-155/4

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]

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:

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

Answer:

9 weeks

Step-by-step explanation:

Answer:

It will take 9 weeks

Step-by-step explanation:

Answer: a= pq/2 p= 4a

Step-by-step explanation:

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

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:

Acute angle

Step-by-step explanation:

Since the angle is less than 90 degrees

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:

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

[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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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

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: 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: 2

Step-by-step explanation:

7 divided by 3.5 is 2

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]

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: wut?

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:

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:

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

Answer:

26 seconds

Step-by-step explanation:

39 - 13 = 26

Answer:

she made 80% of the shots over the 2 days

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.