One leg of a 90-45-45 triangle is 5. What are the sides of the hypotenuse and the other leg?

Answers

Answer 1

Answer:

5√2, 5

Step-by-step explanation:

in a 90 45 45 triangle, each leg is the same legnth

the hypotenuse of a 90 45 45 triangle is x√2

x being the measure of the leg


Related Questions

The length of a rectangle is five more than the width. The area is 66 square meters. Find the length and width. =

Answers

Answer:

It doesn't say anything about "Length" and "Width".

Step-by-step explanation:

Brainlest . Just press the .

Answer: We can take 2 common we could also write this as 2 times X plus y.

Step-by-step explanation:

What is the equation of the line of symmetry for the parabola represented by the equation y=−2(x−7)2+11?

Enter your answer as the correct equation, like this: x = 42

Answers

Answer:

I think its x = 7

I belive it is

Susan has been thinking about starting her own independent gasoline station. Susan’s problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table:

Answers

The Maximax decision is that Susan should build a very large gas station due to the largest value of row maximums.

What is a decision table?

A decision table can be defined as a type of table that is used for the graphical representation of the actions to perform, especially based on given conditions and business level rules.

The decision table for Susan’s problem is shown below:

Size            Good market   Fair market   Poor market    Row maximum

Small              50,000           20,000            -10,000           50,000

Medium          80,000           30,000            -20,000          80,000

Large              100,000          30,000            -40,000          100,000

Very large      300,000         25,000            -160,000         300,000

Thus, the Maximax decision is for Susan to build a very large gas station due to the largest value of row maximums.

For the Maximin decision, we have:

Size            Good market   Fair market   Poor market    Row minimum

Small              50,000           20,000            -10,000           -10,000

Medium          80,000           30,000            -20,000          -20,000

Large              100,000          30,000            -40,000          -40,000

Very large      300,000         25,000            -160,000         -160,000

Therefore, the Maximin decision is that Susan should build a small gas station due to the largest value of row minimums.

For the equally likely decision, we would find the row average:

Row 1 = (50,000 + 20,000 - 10,000)/3 = 20,000.

Row 2 = (80,000 + 30,000 - 20,000)/3 = 30,000.

Row 3 = (100,000 + 30,000 - 40,000)/3 = 30,000.

Row 4 = (300,000 + 25,000 - 160,000)/3 = 55,000.

Hence, the equally likely decision is that Susan should build a very large gas station due to the largest value of row average.

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Complete Question:

Even though independent gasoline stations have been having a difficult time, Susan has been thinking about starting her own independent gasoline station. Susan’s problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline.  After a careful analysis, Susan developed the following table:

a. Develop a decision table for this problem

b. What is the maximax decision?

c. What is the maximin decision?

d. What is the equally likely decision?

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

Answers

Step-by-step explanation:

let's write this properly :

f(x) = x³

g(x) = (x - 7)³ + 9

this translation means that every point of f(x) is shifted up by 9 units (by the "+ 9" term), and shifted right by 7 units (the " x - 7" term means that for every x the original result of x-7 happens, so, 7 units "later" or more to the right than originally).

so, the original (0, 0) point corresponds to (7, 9).

Can anyone help me???

Answers

Answer:

principal (p)=$1300

Interest (I) =$28.67

Time( T) = 1 year

R=?

we have,

R = I*100/T*R

Find the nth term of this quadratic sequence
4, 16, 36, 64, 100, ...

Answers

Answer:

144, 196, 256

Mark me as brainlist, thanks me, and rate!!!

A1 term is 4. Since it was given it was a quadratic, We know it’s at least a*n^2.

First term means that n=1, squaring it gives you 1 and if you divide that into the term, you get 4.

That makes the equation An = 4n^2

Hope this helps!

Please solve this equation, I don't understand...

show all work!

Answers

Answer:

x = - 5/2

Step-by-step explanation:

Using the law of indices

. a^-n = 1/a^n

. (a^4)^5 = a^5×4 = a^20

Note : When two base are equal , we equate the Exponents.

3^4x-5 = (1/27)^2x+10

= 3^4x-5 = (27^-1)^2x+10

= 3^4x-5 = (3^-3)^2x+10

= 3^4x-5 = 3^ -3(2x+10)

= 3^4x-5 = 3^ -6x-30

The two base are 3 so we equate the exponents.

= 4x - 5 = -6x - 30

= 4x + 6x = -30+5

= 10x = -25

= 10x/10 = -25/10

x = -25/10

x = - 5/2

X is -5/2

what type of expression is 3+7-1/2

Answers

Numerical Expression

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.

find the common denominator and thin combine the numerators over the common denominator trhin simplify each term thin simplify by adding subtracing  thin the result can be shown in multiple forms

exact form 19/2

decimal form 9.5

mixed number form 9 1/2

What is the numerical sum of the degree measures of ∠DEA and ∠AEB?

Answers

Answer:

The numerical sum of the degree measures of ∠DEA and ∠AEB is

= 180°

Step-by-step explanation:

supplementary angles :

The meaning of supplementary is related to angles that make a straight angle together. It means, two angles are said to be supplementary angles when they add up to 180 degrees. Two angles that are supplementary to each other, do not have to be next to each other. Two angles are supplementary, if

One of its angles is an acute angle and another angle is an obtuse angle.Both of the angles are right angles.

This means that ∠p + ∠q = 180°.

From the given figure, we can see that:

∠DEA + ∠AEB = 180°

x+25+9x+10 = 180°

10x + 35 = 180°

10x = 180° - 35°

10x = 145°

x = 145/10

x = 14.5°

Get  ∠DEA

∠DEA = x + 25

∠DEA = 14.5 +25

∠DEA = 39.5°

Get ∠AEB:

∠AEB = 9x+10

∠AEB = 9(14.5) + 10

∠AEB = 130.5 + 10

∠AEB = 140.5 °

Hence the value of x,  ∠DEA, and ∠AEB are 14.5°, 39.5°, and 140.5°

so, The numerical sum of the degree measures of ∠DEA and ∠AEB is

= 39.5 + 140.5

= 180° (answer)

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Sergio is learning about the six different skill-related components of fitness. What are these skill-related components? How does each component enhance performance levels?

Answers

Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.

What are these skill-related components?

While performing tasks during gymnastics she needs balance so that she can maintain and control a particular position.

Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.

Balances are of two types dynamic and static. Balance used while moving and performing the task is dynamic balance while performing in a standing position is static balance.

Gymnasts require balancing as the main component cause they use poles and beams to perform their tasks.

Therefore, balance is the skill mainly required in gymnastics.

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Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the
distributive property to show equivalent expressions for the number of bags of soll he bought?
49 + 28 = 4(7 + 7)
59 + 28 - (7)(7) + (14)(2))
19 + 28 - (7)(14) + (7)(7)
49 + 28 - 7(7+ 4)

Answers

Answer:

49 + 28 = 7(7 + 4)

Step-by-step explanation:

49 bags of soil one week

28 bags of soil the next week

49 + 28 bags of soil purchased in total

Find the GCF (Greatest Common Factor) of 49 and 28.

49/7 = 7

28/7 = 4 (GCF is 7 since it is the largest number that can divide both 49 and 28 equally)

Factor out the GCF + rewrite division above (optional for visualization)

49/7 = 7 -> 49 = 7 * 7

28/7 = 4 -> 28 = 7 * 4

49 + 28 = 7(7 + 4)

Let me know if you have any questions!

urgent help needed algebra 2

Answers

The solution of the given equation (x + 5) - ( 2x - 3) = 6 is 2.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

The given equation is;

(x + 5) - ( 2x - 3) = 6

To solve;

(x + 5) - ( 2x - 3) = 6

Distribute the negative;

(x + 5) - 2x + 3 = 6

we need to get the like terms together;

x - 2x + 5+ 3 = 6

-x + 8 = 6

Subtract 8 from both sides, we get;

-x = -2

x = 2

Hence, the solution of the given equation is 2.

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Which of the following rational functions is graphed below?

Answers

Answer:

ANSWER IS B

Step-by-step explanation:

NEXT TIME USE any graph website online

Find DG.
DE
2x+17
EF
8
FG
2
x + 20

Answers

The value of DG is 4x + 45

Determine the length of a line segment

From the question, we are to determine the value of DG

From the given information,

DE = 2x + 17

EF = 8

FG = 2x + 20

Then,

DG = DE + EF + FG

DG = 2x + 17 + 8 + 2x + 20

DG = 4x + 45

Hence, the value of DG is 4x + 45

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Denise is designing the seating arrangement for a concert at an outdoor theater. To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. Explain to Denise how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 18.

Answers

As per the question each row must have 6 seats more than the row before it. And there are 11 seats in the first row.

So, the first row has 11 seats

2nd row has 11+6 seats

3rd row has 11+2*6=11+12=23

4th row has 11+3*6=11+18=29

and so on...

We know that the difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. Arithmetic progression can be calculated as

aₙ = a₁ + (n - 1)d,

where aₙ is the nth and a₁ is the first term of this progression respectively and d is the common difference between terms.

So, we can observe the trend and develop the equation for the problem.

There are 11+(n-1)*6 seats in the n-th row.

So, there is 11+(18-1)*6=11+17*6=113 seats in the 18th row.

Therefore, there are 113 seats in the 18th row.

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convert the proof to the paragraph format

Answers

Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right.

Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD

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HELP!Which linear function represents the line given by the point-slope equation y - 2 = 4(x − 3)? Of(x) = 6x-1 Of(x) = 8x-6 Of(x) = 4x - 14 Ofix) = 4x - 10 Which linear function represents the line given by the point - slope equation y - 2 = 4 ( x − 3 ) ? Of ( x ) = 6x - 1 Of ( x ) = 8x - 6 Of ( x ) = 4x - 14 Ofix ) = 4x - 10​

Answers

[tex]y-2=4(x-3)\\\\y-2=4x-12\\\\y=4x-10\\\\\boxed{f(x)=4x-10}[/tex]

What is the proper ordering (from least to greatest) of the
following numbers?
1.0.32
2.0.32%
3.3.2%
4. 3299

Answers

Answer:

.0032 .032 .32 3299

Step-by-step explanation:

0.32% =.0032

3.2% = .032

.32

3299

If the sides of a square measure 9sqrt3 units, then find the length of the fishbowl.

Answers

The length of the diagonal of the square is 22.05 units

How to find the diagonal of a square?

A square have all its sides equal to each other.

Therefore, using Pythagoras theorem,

c² = a² + b²

c² = (9√3)² + (9√3)²

c² = 81 × 3 + 81 × 3

c² = 243 + 243

c² = 486

square root both sides

c = √486

c = 22.045407685

c = 22.05 units

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Which property of real numbers IS shown below?
3 + ((-5) + 6) = (3 + (-5)) + 6

Answers

The associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have a number expression:

= 3 + ((-5) + 6) = (3 + (-5)) + 6

As we know in the associative property:

a + (b + c) = (a + b) + c

= (3 + (-5)) + 6

Thus, the associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6

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HELLPP

Let n be the middle number of three consecutive even integers. Write an expression for the sum of these integers.
sum of the integers?

Answers

Detailed Answer:

Let ‘n’ be the middle term of three consecutive even integers. Therefore, (n) is also an even number. Hence, the even number preceding it will be (n - 2) and the even number after it will be (n + 2), since we need consecutive even integers.

Hence, we have (n - 2), (n), (n + 2).

Sum of the Integers :-
= (n - 2) + (n) + (n + 2)
= n - 2 + n + n + 2
= n + n + n + 2 - 2
= n + n + n
=> 3n

Find the solution for x in the equation below.
x² + 72x = 8

Answers

[tex]x^2+72x=8\\x^2+72x+1296=1304\\(x+36)^2=1304\\x+36=\sqrt{1304} \vee x+36=-\sqrt{1304} \\x=-36+2\sqrt{326} \vee x=-36-2\sqrt{326}[/tex]

find value o x 235 degree arc

Answers

The length of the arc given in the question is; 4.1r

How to find the length of an arc?

We are given;

Angle at which arc is subtended; θ = 235°

Formula for arc length subtended at an angle θ is;

Arc Length = (θ/360) * 2πr

where r is radius of circle.

Thus;

Arc Length = (235/360)  * 2πr

Arc Length = 4.1r

The complete question is;

Find the value of the length of an arc that subtends an angle of 235 degrees to the circle's center.

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PLEASEE I BEG YOU!!!!!!

Answers

The last choice from the option list is the solution

Are both 7 and -½ integers? why or why not?​

Answers

Answer:

No. (-1/2) is not an integer

Integers involve all the no. +ve and -ve. which can be written without fraction. ie whole no. are counted as integers.

(-1/2) is a fraction

no because integers are whole number and fraction that equal a decimal aren’t

Larry Mitchell invested part of his $36,000 advance at 7% annual simple interest and the rest at 2% annual simple interest. If his total yearly interest from both
accounts was $1,970, find the amount invested at each rate.
The amount invested at 7% is $
The amount invested at 2% is $

Answers

The amount invested at each rate

Investment at 7% = $25000

Investment at 2%  = $11,000

What is investment?

Investment definition is an asset acquired or invested in to build wealth and save money from the hard earned income or appreciation.

Given:

Larry Mitchell invested = $36,000 at 7% annual simple interest

the rest at 2% annual simple interest.

Total investment = 36000

let the investment at 7% is x

then, invested at 2% = 36000 - x

Total interest earned = $1,970

Simple interest = principal * rate * time

Investment at 4%:

(x * 0.07) + [(36000 - x) * 0.02] = 1970

0.07x + 720 - 0.02x= 1970

0.05x = 1970-720

0.05x = 1250

x= 25000

Hence,

Investment at 7% = $25000

Investment at 2% = $36,000 - $25000 = $11,000

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curved surface area of a cone = Trl, where r is the
radius and is the slant height.
The cone below has a radius of 3 cm and a slant height
of 7 cm.
Work out the total surface area of the cone.
Give your answer in terms of π.
7 cm
3 cm

Answers

The total surface area of the cone is 3π + 10 cm².

What is the curved surface area?

A cone is a three-dimensional object that consists of a circular base and a vertex.

Total surface area = πr (r + l)

Where:

r = radius l = slant heightπ = pi

π x 3 + (3 + 7)

3π + 10 cm²

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Ryan also found that he could model the height of his plant with the equation h = 0.5d + 4, where d is the number of days and h is the height in centimeters. part b question 2

Answers

The domain is  {0, 1, 2, 3, 4, 5, 6} and range is {4, 4.5, 5, 5.5, 6, 6.5, 7}.

What is Domain and Range?

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

The complete question is

Ryan also found that he could model the height of his plan with the equation H = 0.5D + 4 where D is the number of days and H is the height in centimeters. Determine the domain and the range for this relationship.

Given:

h = 0.5d + 4

The Domain of the function is: {0, 1, 2, 3, 4, 5, 6}

and the Range is: {4, 4.5, 5, 5.5, 6, 6.5, 7}

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Questions in the picture!

Can I have the answer to2 decimal place

__.__cm2

Answers

Answer:

16П or approximately 50.3)

Step-by-step explanation:

The area of a circle is equal to П*r²

Since the circle is inside a rectangle with side that is equal to 8, we know that d = 8

2r = d

r = 8/2

r = 4

A = П*r²

A = П*16

А = 16П ( or 16*3.141592653589793238... = 50.26548... ≈ 50.3)

Answer:

area = 50.27 [tex]cm^2[/tex]

Step-by-step explanation:

In the diagram, we see that the diameter of the circle is 8cm. Therefore the radius of the circle is 8/2 = 4cm.

[tex]area \hspace{0.15cm}of \hspace{0.15cm}circle = $\pi$r^2[/tex]

                        = π [tex](4)^2[/tex]

                        = 50.27 [tex]cm^2[/tex]

Help needed! Thank you!

Answers

Part 1

[tex](f\circ g)(x)=f(g(x))=\frac{\frac{1}{x}}{\frac{1}{x}-3}[/tex]

Multiplying the numerator and denominator by x,

[tex](f\circ g)(x)=\boxed{\frac{1}{1-3x}}[/tex]

Part 2

The domain for this function is all values of x except for when the denominator equals 0 (because then, it would be undefined).

The denominator is equal to 0 when x=1/3, so the domain is [tex]\boxed{x \neq \frac{1}{3}}[/tex]

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Earth's escape velocity is lower, so a few helium atoms at a time are moving fast enough to escape, causing Earth to slowly lose its helium.B) Jupiter's core continually generates helium, while the Earth's core does not.C) Jupiter has a powerful magnetic field that can attract helium atoms. Earth has a magnetic field as well, but it's not strong enough. What is the measure of \angle xxangle, x?Angles are not necessarily drawn to scale. How many moles of propanereact when 294 g of CO2 form?C3H8 +502 3CO2 + 4HO?] mol C3H8 Write a program that prompts the user to input an integer and then outputs both the individual digits of the number and the sum of the digits. For example, the program should: output the individual digits of 3456 as 3 4 5 6 and the sum as18, Read this passage. Then answer the question.A predator is an animal that hunts other animals for food. 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Mr. Lius ICEP and Part D IEP begin March 1 and end on September 30. He wants prescription drug coverage with his Part A and Part B benefits. What advice can you provide him?a.He must wait until the next Annual Election Period to enroll in a MA-PD plan.b.He can enroll in a MA-PD as long as he enrolls in Part B and is entitled to Part A.c.Since this is his first time qualifying for Medicare, he will have to enroll in Original Medicare with a Part D plan this year and change his enrollment to a MA-PD plan next year.d.He can enroll in a MA plan now, but he will have to wait until the next Annual Election Period to obtain prescription drug coverage. 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