what are the missing lengths for the triangle 45 45 5v2

Answers

Answer 1

3.5355339 cm are the missing lengths for the right triangle.

What is right triangle ?

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2 call "n" the measure of one of the legs

n√2=5

n=5/√2

multiply both terms by √2

n=5√2/2, or...

n=2.5(1.4142136)

n=3.5355339 cm (round as needed)

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The complete question is -

The length of the hypotenuse of a 45-45-90 triangle is 5 cm what is the length of each leg.


Related Questions

Use the figure below to list the slopes m₁, m₂, m3, and m4 in order of decreasing size.

Answers

In decreasing size, the slopes of the linear functions are given as follows:

m4, m3, m2, m1.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Regarding the slope, we have that:

Increasing lines have positive slopes.Decreasing lines have negative slopes.

Hence, for the lines in this graph:

m4 and m3 are positive.m2 and m1 are negative.

Then, we consider the intensity of growth/decay.

The pink line increases faster than the green line, meaning that it has a greater slope, that is, m4 > m3.The red line falls faster than the blue line, meaning that it's slope has a greater absolute value, but is less than m2, as they are negative, hence m2 > m1.

Thus the list is given by:

m4, m3, m2, m1.

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The function f(x) = + 9-3 is one-to-one and therefore invertible. Determine f1. Graph both f
and f-1, along with the identity function f(x) = x.

Answers

Answer: I hope this helps.

Step-by-step explanation:

FREE BRAINLIEST!!! What is the slope of the line?
2
-2
-1/2
1/2​

Answers

Answer:

i think its 2

Step-by-step explanation:

Answer: 2.

Step-by-step explanation:  Because if you see where the dot of line is you will see that the dot is right next to number 2

3 to the 4th power minus -6 to the 2nd power

Answers

Answer:

45

Step-by-step explanation:

3 to the 4th power is the same as 3 x 3 x 3 x 3

3 x 3 x 3 x 3 = 81

-6 x -6 = 36 (a negative times a negative is always positive)

81 - 36 = 45

the general solution to
Sin2x = Cosx+l

Answers

Answer:

Step-by-step explanation:

sin2x = cosx + l

This can be written as:

2 sinxcosx = cosx + 1

One way would be to draw graphs of sin2x and cosx + 1 and see where they intersect.

Another way is to use y = tan(x/2),  then sinx = 2y/(y^2+1) and cos x

= (-y^2 + 1) / (y^2 + 1) to substitute into the given equation and solve for y.

The algebra will be pretty challenging in this method.

Joni worked 14 hours more than Dominic last month. If Joni worked 7 hours for every 3 hours that Dominic worked, how many hours did they each work?

Answers

Answer:

look at the multiple of 3 and seven and find which number in the 7 multiple equal 14 more.

Reverse the roles of the variables by solving for the indicated variable. Solve for t: w = uv + t

Answers

The subject of the function is t = w - v

How to solve the function?

It should be noted that the function that's given is illustrated as:

w = uv + t

Subtract uv from both sides.

w - uv = uv + t - uv.

w - uv = t

Therefore, it can be seen that the subject of the function is t = w - v

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please answer as soon as possible ​

Answers

Step-by-step explanation:

the answer is, if it's correct y=4

Two trains leave towns 900 miles apart at the same time and travel toward each other. One train travels 20mi/h slower than the other. If they meet in 6 hours, what is the rate of each train?

Answers

Answer:

Hello,

Step-by-step explanation:

The time they travel is t=6 hours

v is rate of the fastest train

v-2 the slower one.

v*t+(v-20)*t=900

2vt-20t=900

12v-120=900

12v=900+120

v=1020/12

v=85 (mi/h)

v-20=65 (mi/h)

Can someone tell me if this is right if not can u help me

Answers

Answer:

It is incorrect. It is supposed to be set at -8 to 9 but instead it is at -8 to 7.

The decimal should go up 2 places higher!

Step-by-step explanation:

Jordan jogs 6.9 miles each day. How many miles does he jog in 8 days

Answers

Answer: 55.2.

Based on the given conditions, formulate: 6.9 * 8 Calculate the product or quotient:55.2get the result

Answer:

55.2 miles

Step-by-step explanation:

6.9 x 8 = 55.2

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

P=2(x+y) Solve for y

Answers

Answer:

[tex] \bf \implies \: y \: = \frac{1}{2} p - x[/tex]

Step-by-step explanation:Let's solve for yp = 2(x + y)

p = 2x + 2y

p - 2x = 2y

2y = p - 2x

[tex] \bf \frac{ \cancel{2}y}{ \cancel{2}} = \frac{p \: - \: 2x}{2} [/tex]

[tex]y = \frac{p}{2} - \frac{ \cancel{2}x}{ \cancel{2} }[/tex]

[tex] \boxed{y = \frac{1}{2}p - x} \: \bf \mathfrak {ans}[/tex]

3/2(6x+2)=-3(x-1) need help with this

Answers

Answer:

x=0

Step-by-step explanation:

:)

Answer:

[tex]{ \tt{ \frac{3}{2}(6x + 2) = - 3(x - 1) }} \\ \\ { \tt{3(3x + 1) = - 3(x - 1)}} \\ { \tt{3x + 1 = - (x - 1)}} \\ { \tt{3x + 1 = - x + 1}} \\ { \tt{3x + x = 0}} \\ { \tt{x = 0}}[/tex]

What is the area of the trapezoid shown? Show your work

Answers

The Area of the trapezoid in the image attached below is: 204 units².

How to Find the Area of a Trapezoid?

To find the area of a trapezoid, the following formula is used:

Area of trapezoid = 1/2 × (a + b) × h, where h is the height of the trapezoid, and a and b are the length of the two parallel bases of the trapezoid.

Given the trapezoid in the image attached below, we have the following parameters:

a = 10

b = 24

h = 12

Area of trapezoid = 1/2 × (10 + 24) × 12

Area of trapezoid = 1/2 × (34) × 12

Area of trapezoid = 34 × 6

Area of trapezoid = 204 units²

Therefore, the Area of the trapezoid in the image attached below is: 204 units².

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There are $13.30 worth of nickels and dimes in a piggy bank. There are 5 more nickels than dimes. How
many of each are in the piggy bank? You must solve this problem algebraically (no guess and check). Show
each step for full credit. Circle your final answer. (4 points)

Answers

Answer:

92 nickels87 dimes

Step-by-step explanation:

You want the number of nickels and dimes that make up $13.30 when there are 5 more nickels than dimes.

Setup

Let d represent the number of dimes. Then (d+5) is the number of nickels. The total value in cents is ...

  10d +5(d+5) = 1330

Solution

Simplifying the equation, we get ...

  15d +25 = 1330

  15d = 1305 . . . . . . . . subtract 25

  d = 87 . . . . . . . . . . . divide by 15

  (d+5) = 92 . . . . . . the number of nickels

[tex]\boxed{\text{There are 92 nickels and 87 dimes in the piggy bank.}}[/tex]

Help I need the answer to this question

Answers

The Density of the given plank with dimensions is; 33.82 kg/m³

How to calculate the density of an Object?

We are given;

Length of plank = 2.3 meters

Width of plank = 30 cm = 0.3 m

Height of Plank = 3 cm = 0.03 m

Mass of plank = 0.7 kg

Now, formula for density = mass/volume

Volume of the plank is gotten from the formula;

Volume = Length * width * height

V = 2.3 * 0.3 * 0.03

V = 0.0207 m³

Thus;

Density = 0.7/ 0.0207

Density = 33.82 kg/m³

Thus, we can conclude that the Density of the given plank with dimensions is 33.82 kg/m³

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The grid above shows the graph of the parent function f(x) = |x| and a translated functions graph.
Write the equation for the translated graph.

Answers

The equation of the translated graph is g(x) = |x + 2| + 1

How to write the equation of the translated graph?

The parent function is given as

f(x)= |x|

From the graph, we can see that the parent function f(x) is translated as follows:

2 units left1 unit up

This is represented as

(x, y) = (x + 2, y + 1)

So, we have

g(x) = |x + 2| + 1

Hence, the equation of the translated graph is g(x) = |x + 2| + 1

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Marie ran 5.9 miles on Tuesday. This was 1.9​ miles less than she ran on Monday. How many miles did she run on Monday?

Answers

Answer:

7.8 miles

Step-by-step explanation:

5.9 + 1.9 = 7.8miles

hector paid $56 for 7 books what is the unit rate

Answers

56/7 = 8 the unit rate would be along the lines of 8 and 7.

8,282 in verbal form

Answers

Eight thousand two hundred and eighty two

Eight thousand two hundred eighty two

HELP ASSAPP PLSASEEE

Answers

Answer:

(-2,-2)

Step-by-step explanation:

For a cartesian plane, the solutions to 2 lines is where the 2 lines intercept.

Where this interception point is put into a coordinate (x,y)

Which in this case, the point of intersection is found to be (-2,-2) (Read from the graph)

the length of a rectangle is 6 m longer than its width. of the perimeter of the rectangle is 36 m, find its area

Answers

The length of a rectangle is 6 m longer than its width. of the perimeter of the rectangle is 36 m, its area is  72 m².

Any polygon's area is the amount of space it takes up or encloses. The amount of square units that make up the polygon. Because the area is a two-dimensional object, it has both length and width. Typically, the area is expressed in square meters, square feet, or square inches. Acres, hectares, and square kilometers are used to measure the size of larger shapes like cities and farms.

Let l be the length of the rectangle

And w be the width of the rectangle.

Given, l=6+w

Perimeter,p =36m

We know that, p= 2(l+w)

p =36=2(6+w+w)

36/2= 6 +2w

18-6=2w

w=6m

Therefore, l=6+w

l=12m

Area of rectangle= lw

A = 12×6

A=72 m².

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6.3 = 2x - 4.5 solve for x

Answers

Answer:

x = 5.4

Step-by-step explanation:

6.3 = 2x-4.5  

2x = 6.3 + 4.5 = 10.8  

x= 5.4

Answer:

5.4is the value if x

Step-by-step explanation:

6.3=2x-4.5

6.3+4.5=2x

10.8=2x

10.8/2=x

5.4=x

So,x=5.4

Exercise
Squats
Crunches
Lunges
Curls
Time (h)
0.08
0.03
0.04
0.05
Javier likes to work out for 1 hour. If he
doesn't use the full hour on his exercises, he
runs on a treadmill for the remaining time. If
he completed 3 repetitions of each exercise,
how long did he run on the treadmill on
Monday? (Example 1)

Answers

By addition of all the exercise and substracting it from 1 hourJavier runs on treadmill on Monday is 0.40 hour.

Now According to the question javier completed 3 repetitions of each exercise so by multiplication time taken by javier to complete each exercise is as follow;

Squats = 0.8*3= 0.24 hour

Crunches = 0.03*3 = 0.09 hour

Lunges = 0.04*3 = 0.12 hour

curls = 0.05*3 = 0.15 hour

we can calculate total time taken to complete all exercise by Addition is,

0.24 + 0.09 + 0.12 + 0.15

0.60 hour

time taken on treadmill by javier;

1 hour - 0.60 hour

0.40 hour

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write an equation in slope intercept form for this line

Answers

Answer:

Step-by-step explanation:

Use the figure below to complete the following problem.
Given:
ZH=2x+60
LT=x+ 30
HALT is a
H
ZA =
O 30
045
O 60

Answers

The value of angle A is 60.

In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

We have the angles as:

∠H = 2x + 60

∠T = x + 30

Now, HALT is a parallelogram.

Therefore, angles H and T are supplementary.

So,

∠H + ∠T = 180

2x + 60 + x + 30 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

x = 90 / 3

x = 30

Substituting the value of x in the angles, we get:

∠H = 2x + 60

∠H = 2(30) + 60

∠H = 60 + 60 =120

∠T = x +30

∠T = 30 + 30

∠T = 60

Now, angles T and A are congruent angles.

Therefore, ∠T = ∠A

∠A = 60

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Which of the following could be the equation of the graph shown below? Check all that apply.
(Picture included)

Answers

The equations that could represent the graph shown are:

A. -4x + 2y = -6

C. y = 3x - 2

How to Determine the Equation of a Graph?

The equation of a linear graph, in slope-intercept form, can be written as y = mx + b, where:

b is the point on the y-axis that the line intercepts, which is called the y-intercept of the graph.m is the slope of the graph, which is the rise/run along the line.

Given the graph in the diagram, it would have a positive slope and a negative y-intercept.

A. -4x + 2y = -6

Rewrite in slope-intercept form

2y = 4x - 6

y = 4x/2 - 6/2

y = 2x - 3 [positive slope and negative y-intercept]

B. 2x - 3y = -9

Rewrite in slope-intercept form

-3y = -2x - 9

y = 2/3x + 3 [positive slope and positive y-intercept]

C. y = 3x - 2 [positive slope and negative y-intercept]

D. y = -10 is a horizontal line.

Therefore, the equations that could represent the graph shown are:

A. -4x + 2y = -6

C. y = 3x - 2

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13. A large group of 30 people attended a hockey game. Each person ordered a hotdog or a slice of pizza from the concession stand. Hot dogs cost $2.50 each and a slice of pizza costs $3.25 each. If the total bill for these items was $81.75, how many of each type was purchased?

Answers

Answer:

21 hot dogs

9 pizza slices

Step-by-step explanation:

Given information:

Group = 30 peopleCost of a hot dog = $2.50Cost of a slice of pizza = $3.25Total bill = $81.75

Define the variables:

Let x = the number of hot dogs purchased.Let y = the number of pizza slices purchased.

Create two equations from the given information:

[tex]\textsf{Equation 1}: \quad x + y = 30[/tex]

[tex]\textsf{Equation 2}: \quad 2.5x+3.25y=81.75[/tex]

Rewrite Equation 1 to make x the subject:

[tex]\implies x=30-y[/tex]

Substitute this into Equation 2 and solve for x:

[tex]\implies 2.5(30-y)+3.25y=81.75[/tex]

[tex]\implies 75-2.5y+3.25y=81.75[/tex]

[tex]\implies 75+0.75y=81.75[/tex]

[tex]\implies 0.75y=6.75[/tex]

[tex]\implies y=9[/tex]

Substitute the found value of y into the rewritten form of Equation 1 and solve for x:

[tex]\implies x=30-9[/tex]

[tex]\implies x=21[/tex]

Solution

Hot dogs purchased = 21Pizza slices purchased = 9

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Answer:

Number of hot dogs purchased = 21

Number of pizza slices purchased = 9

Step-by-step explanation:

Let the number of people buying hot dogs be represented by the variable H and the number of people buying pizzas be represented by the variable P

Since H hot dogs were purchased and each hot dog costs $2.50, total amount spent on hot dog purchase = $2.50H

Since P slices of pizza were purchased and each slice of pizza costs $3,25,  total amount spent on hot dog purchase = $3,25P

Total amount spent (in $) = 2.50H + 3.25P and we are given that this total amount is $81.75

So we have an equation in two variables

2.50H + 3.25P = 81.75      (1)

We know the number of people is 30 and that should equal the number of hot dogs and pizza slices purchased

So

H + P = 30     (2)

Multiply Equation (2) on both sides by 2.50
==> 2.50(H + P) = 2.50 x 30

2.50H + 2.50P = 75    (3)

Subtract equation (3) from equation (1) to eliminate the H terms

(1) - (3):

2.50H + 3.25P - (2.50H + 2.50P) = 81.75 -75

2.50H + 3.25P - 2.50H - 2.50P = 6.75

Collect like terms and simplify

==>  (2.50H -2.50H) + (3.25P - 2.50P) = 6.75

==>  0.75P = 6.75

Divide both sides by 0.75

==>  0.75P/0.75 = 6.75/0.75

==>  P = 9

So number of people who bought pizza slices = 9

This is the same as the number of pizza slices that were bought

Substitute for P in Eq (2) H + P = 30
==>  H + 9 = 30

Subtract 9 from both sides

==> H + 9 - 9 = 30 - 9

==>  H = 21

So number of people who bought hot dogs = 21

This is the same as the number of hot dogs purchased

a) Find The rate of change of f.

b) Express f in the form f(x) = ax + b

Answers

Answer:

this is hard , I suggest you see a tutor

I need help with add and sub poly

Answers

Answe[tex]10c^{2} +5c+4[/tex]

Step-by-step explanation:

Step 1 -(((6•(c2))-2c)-1)+((22c2+7c)+5)

Step 2-(((2•3c2) -  2c) -  1) +  (4c2 + 7c + 5)

in conclusion, you get [tex]10c^{2} +5c+4[/tex]

I hoped i have helped u have a wonderful day or night !

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