How do I solve special right triangles?

How Do I Solve Special Right Triangles?

Answers

Answer 1

Answer:

2*sqrt2

Step-by-step explanation:

In right isosceles triangles, the ratios of the sides are:

1:1:sqrt(2)

1=the legs, and sqrt2 being the hypotenuse.

So, in this problem, we can simply divide the hypotenuse by sqrt2 to find the legs.

2*sqrt6/sqrt2=2*sqrt3

Therefore, the lengths of the legs are 2*sqrt2


Related Questions

Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?

all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0

Answers

Answer:

y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e

Step-by-step explanation:

Using exponential function concepts, it is found that the range of the function after it has been reflected over the x-axis is given by:

all real numbers less than 0.

What is an exponential function?

It is modeled by:

[tex]y = ab^x + c[/tex]

In which:

a is the initial value.b is the rate of change.The range is (c, infinity).

In this problem, a reflection over the x-axis means that it was multiplied by -1, hence the range will be (-infinity, 0), hence the correct option is;

all real numbers less than 0.

More can be learned about exponential function concepts at https://brainly.com/question/25537936

Our school gets $100,000 in donations from celebrities to buy Chromebooks for class learning. Each Chromebook costs $385 plus $20 insurance. what is the maximum number of Chromebook that we can buy for our students? ​

Answers

Answer: 246 laptops.

Step-by-step explanation: if they each each take 20 for insurance and 385 then its 405 title. hen you take 100,000 and divide it by 405 getting 246.91358. but you cant buy .91358 of a computer so you round down.

Explain how to determine if the two expressions are
equivalent using x = 6 and x = 10.
8x + 40
8(x + 5)

Answers

Answer:

If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.

Step-by-step explanation:

got it right!

The two expressions are equivalent.

Important information:

The given expressions are [tex]8x+40[/tex] and [tex]8(x+5)[/tex].The given values are [tex]x=6[/tex] and [tex]x=10[/tex].Equivalent Expressions:

The values of both expression for [tex]x=6[/tex] are:

[tex]8(6)+40=48+40[/tex]

[tex]8(6)+40=88[/tex]

And

[tex]8(6+5)=8(11)[/tex]

[tex]8(6+5)=88[/tex]

The values of both expression for [tex]x=10[/tex] are:

[tex]8(10)+40=80+40[/tex]

[tex]8(10)+40=120[/tex]

And

[tex]8(10+5)=8(15)[/tex]

[tex]8(10+5)=120[/tex]

Since the values of both expressions are equal for each of the values [tex]x=6[/tex] and [tex]x=10[/tex]. Therefore, the two expressions are equivalent.

Find out more about 'Equivalent Expressions' here:

https://brainly.com/question/10628562

will mark bianleast
What are the diameter and radius of a circle with a circumference of 32π ft?

d = 32 ft
r = 16 ft

d = 8 ft
r = 16 ft

d = 16 ft
r = 8 ft

d = 16 ft
r = 32 ft

Answers

Answer:r=16 ft , d =32 ft (a)

Step-by-step explanation:

c=2 pi r

32pi= 2 x pi x r

r=32 pi/2pi

r= 16

diameter = radius x 2

d= 16 x 2

d = 32

pls help me ou i need to turn this in pls pls ​

Answers

Answer:

3

Step-by-step explanation:

If each square unit represents 3 square feet what is the area of the patio in square feet

Answers

Answer:

563

Step-by-step explanation:

PLEASE HELP ASAP WILL MARK BRAINLIEST!!

Answers

Answer:

The answer is [9, 5, -4, 12]

Step-by-step explanation:

1) distribute the 3 within all the numbers on the right side. 3*2, 3*0, 3*-1, 3*4.

2) your right side should now have the numbers, 6, 0, -3, 12.

3) now add the numbers on the left with the numbers on the right, each should correspond with their place within the box. 3+6, 5+0 -1+-3 0+12

Hope this helps :)

PLEASEEEE HELPP!!!!!!!

Answers

Answer:

im not sure but 36

Step-by-step explanation:

Help me please!!!!!!!!

Answers

i think it’s d for the standard equation

Answer:

D y= ax^2 + bx+c = 0

Step-by-step explanation:

The standard form of a quadratic equation is

ax^2 + bx+c = 0

x = -b/2a is the equation for the line of symmetry

a quadratic is a parabola, but that is not the standard form

vertex is the minimum or maximum of the parabola

Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=-3x^2 +75f(x)=−3x 2 +75f, left parenthesis, x, right parenthesis, equals, minus, 3, x, squared, plus, 75 \text{smaller }x =smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals \text{larger } x =larger x=start text, l, a, r, g, e, r, space, end text, x, equals

Answers

Answer:

Smaller x= -5Larger x=5

Step-by-step explanation:

Given the function [tex]f(x)=-3x^2 +75[/tex]

The zeros of the function are the values of x for which f(x)=0.

[tex]f(x)=-3x^2 +75=0\\-3x^2 +75=0\\-3(x^2-25)=0\\$Divide both sides by -3\\x^2-25=0\\$Add 25 to both sides\\x^2-25+25=0+25\\x^2=25\\$Take the square root \\\sqrt{x^2}=\pm \sqrt{25}\\ x=\pm 5[/tex]

The zeros of f(x) are therefore 5 and -5.

Smaller x= -5Larger x=5

This green rug has a perimeter of 36 feet. The length is 3 + x and the width is 5. Write an expression that can be used to find the missing value of x. Combine like terms of your equation until it is the most simplified form. What is the value of x? Explain your reasoning.

Answers

Answer:

An equation for this would be : 36=3+x+3+X+5+5

the simplified version would be: 20=2x

The value of x = 10 feet

Step-by-step explanation:

Since perimeter is all the sides added together, and 36 ft is the perimeter,

think of a rectangle, 2 sides would be 3+x and the other 2 would be 5.

thus,

36=3+x+3+x+5+5

now add all like terms and you get 36=16+2x

subtracting 16 on both sides,

20=2x

dividing by 2 both sides,

x=10 feet.

Which three programs or services are supported by taxes?

1. Fire Departments
2. Medicare
3. Public Education
4. Shopping Malls
5. Theaters

Answers

Answer:

Fire departments, Medicare, and public education.

Step-by-step explanation:

Click on the measure that is equivalent to 5 meters.
0 50 centimeters
50 millimeters
0 500 millimeters
0 500
centimeters

Answers

Answer:

500 cm

Step-by-step explanation:

100 cm is equal to 1 meter. *5 is 5 meters or 500 cm

Sorry if I'm wrong. I don't think I am but there is always a possibility

Answer:

Step-by-step explanation:

100cm = 1 meter so therefore 5 meters = 500cm

pi owns a cornfield and has placed fences around four polls, A, B, C, D that delimit the edges of the field. He needs to drive around the field every day to check whether anybody has tried to break in. The four poles are located at:

A (-2,1)
B (3,-11)
C (-2,-23)
D (-7,-11)

How many miles will pi drive if he starts at pole A and drives around the entire border of the field?

(please show the work)

Answers

Answer:

52 miles

Step-by-step explanation:

A to B:

sqrt( (3 - (-2))^2 + (-11 - 1)^2 )

sqrt( (5)^2 + (-12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

B to C:

sqrt( (-2 - 3)^2 + (-23 - (-11))^2 )

sqrt( (-5)^2 + (-12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

C to D:

sqrt( (-7 - (-2))^2 + (-11 - (-23))^2 )

sqrt( (-5)^2 + (12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

D to A:

sqrt( (-2 - (-7))^2 + (1 - (-11))^2 )

sqrt( (5)^2 + (12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

Adding:

13 + 13 + 13 + 13

52

helppp me its due today

Answers

Answer:

66.04

Step-by-step explanation:

0.13 * 508 = 66.04

Answer:

Step-by-step explanation:

508/x=13/100

508*100=50800

50800/3=?

now do that and simplify

Use the correct order of operations to solve the problem below.
14 - 8 + 6 - 10 ÷ 2

A.
17
B.
-5
C.
9
D.
7

Answers

Answer:

D

Step-by-step explanation:

parenthesis

exponents

multiply or divide from left to right

add or subtract from left to right

14 - 8 + 6 - 5

6 + 6 - 5

12 - 5

7

Answer:

D. 7

Step-by-step explanation:

PEMDAS

there arent parentheses, exponets or multiplication but the is division

so divide first

14-8+6-5

Next subtract

6+6-5

then subtract from left to right

12-5

7

Write 3 tenths and 9 hundredths as a decimal

Answers

Answer:

0.39

Step-by-step explanation:

1 tenth: 1/10 = 0.1

1 hundredth = 1/100 = 0.01

3(0.1) + 9(0.01)

0.3 + 0.09

0.39

.39
idk how to explain it....it’s just .39 trust me :)

HELP ME PLEASEEEE :,(

Answers

Step-by-step explanation:

[tex]{a}^{2} = b + 6 [/tex]

[tex]b = {a}^{2} - 6[/tex]

4
A mall manager asks the store owners what fraction of their products are on sale. The store owners' responses are displayed on the line plot. What fraction of the stores have or less of their products on sale?
Mall Stores Sale Items


A.


B.


C.


D.

Answers

Answer:

its 1/2

Step-by-step explanation:

people stop putting answer if your not sure you just want points

If f(x) = 3x2 + 2 and g(x) = -5x +3, find f(g(x)).
PLEASE HELP ME

Answers

Answer:

Option 2: 75x^2 -90x + 29

Step-by-step explanation:

f(g(x))

f(-5x+3) = 3(-5x+3)^2 + 2

= 3 (25x^2 - 30x +9) +2

= 75x^2 - 90x+ 27 + 2

f(g(x)) = 75x^2 - 90x + 29

A system of equations is given.

​y= x^2 −9
y= −2x−1

​What is one solution to the system of equations?

Answers

Answer:

(-4,7)

Explanation:

I graphed the two equations with a graphing tool.

The first equation forms a parabola.

The second equation is linear.

The graphed equations intercept at two points. Since the question asked for one, then one solution of the system is (-4,7).

Answer:

(- 4, 7 ) and (2, - 5 )

Step-by-step explanation:

Given the 2 equations

y = x² - 9 → (1)

y = - 2x - 1 → (2)

Substitute y = x² - 9 into (2)

x² - 9 = - 2x - 1 ( subtract - 2x - 1 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 2(- 4) - 1 = 8 - 1 = 7 ⇒ (- 4, 7 )

x = 2 → y = - 2(2) - 1 = - 4 - 1 = - 5 ⇒ (2, - 5 )

A.) $203,000.00
B.) $177,000.00
C.) $207,000.00
D.) $197,000.00


Swell Computers is preparing to market a new microchip to upgrade computers already purchased by consumers. Management sees a huge potential for sales since people will not have to purchase a whole new computer system to have access to the latest technology, just this chip. The company has already determined that it can produce these chips for $8 each, with a $5000 start-up cost. Projections indicated that sales of x chips will generate a revenue of R(x)=200x-0.01x^2. How much profit do they hope to make on the first 1000 chips sold?

Answers

Answer:

A?

Step-by-step explanation:

Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3?

Answers

Missing Part of the Question

3 (4 - y) -7 ; 5 + 3y 9 + y + 4y - 2 - 3y; -2y + 7 5 + y - 2 - 6y + y; 8y + 3 2y + 7 + y - 2 + y; 4y + 5

Answer:

2y + 7 + y - 2 + y; 4y + 5

Step-by-step explanation:

Given

y = 3

Required

Which pair of expression are equal

To get the pair of expression that are equal; we simply substitute 3 for y in each of the expressions

3 (4 - y) -7 and 5 + 3y

Substitute 3 for y in 3 (4 - y) -7

This gives 3(4 - 3) -7

= 3(1) - 7

= 3 - 7

= -4

Then Substitute 3 for y in 5 + 3y

This gives  5 + 3(3)

= 5 + 9

= 14

-4 and 14 are not equal

---------------------------------------------------------------------------------------

9 + y + 4y - 2 - 3y; -2y + 7

Substitute 3 for y in 9 + y + 4y - 2 - 3y

This gives 9 + 3 + 4(3) - 2 - 3(3)

= 9 + 3 + 12 - 2 - 9

= 13

Then Substitute 3 for y in -2y + 7

This gives  -2(3) + 7

= -6 + 7

= 1

13 and 1 are not equal

---------------------------------------------------------------------------------------

5 + y - 2 - 6y + y; 8y + 3

Substitute 3 for y in 5 + y - 2 - 6y + y

This gives 5 + 3 - 2 - 6(3) + 3

= 5 + 3 - 2 - 18 + 3

= -9

Then Substitute 3 for y in 8y + 3

This gives  8(3) + 3

= 24 + 3

= 27

-9 and 27 are not equal

---------------------------------------------------------------------------------------

2y + 7 + y - 2 + y; 4y + 5

Substitute 3 for y in 2y + 7 + y - 2 + y

This gives 2(3) + 7 + 3 - 2 + 3

= 6 + 7 + 3 - 2 + 3

= 17

Then Substitute 3 for y in 4y + 5

This gives  4(3) + 5

= 12 + 5

= 17

17 and 17 are equal

Hence, Option D is correct

Answer: 2y + 7 + y - 2 + y; 4y + 5

Step-by-step explanation: just did it

The temperature in Petersburg was recorded over a period of four
hours. The equation y= - 4x +35 describes the temperature over
this time, where y is the temperature in degrees Fahrenheit (°F) and x
is the number of hours since measurements started. Which of the
following statements correctly describes the temperature?
of QUESTIONS
It was -4°F when the temperature was first measured, and it is rising by
35 degrees per hour.
It was -4°F after four hours, and it is rising by 35 degrees per hour.
It was 35°F after four hours, and it is dropping by 4 degrees per hour.
It was 35°F when the temperature was first measured, and it is dropping
by 4 degrees per hour.​

Answers

Answer:

x = 35/4

Step-by-step explanation:

need this done as soon as possible pls help

Answers

Answer:

it should be 1.5 inches.....

Please Explain step - by - step!

Answers

Answer:

use PEMDAS

Step-by-step explanation:

start with doing what's in the parenthesis 3+2 = 5

7+4^3-3-5^2

then do ur exponents

7+64-3-25

then do you addition and subtraction left tto right

71-3-25

68-25

43

ur answer is 43



Renan found the sum (4.2x + 3) + (5.7x – 2) + (5 – 2.6x), as shown.

4.2x + 3 + 5.7x – 2 + 5 – 2.6x

4.2x + 5.7x + 2.6x + 3 – 2 + 5

(4.2 + 5.7 + 2.6)x + 3 – 2 + 5

12.5x + 6

Answers

Answer:

He used the commutative property incorrectly.

Step-by-step explanation:

Answer:

a is correct

Step-by-step explanation:

Which expression is the factored equivalent of x2 - 5x + 4?
A.
(x - 1)(x - 4)
B.
(x - 3)(x - 1)
C.
(x + 4)(x + 1)
D.
(x + 1)(x - 4)

Answers

Answer:

Step-by-step explanation:

A

The factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).

To factor the quadratic expression x² - 5x + 4, we need to find two binomials that, when multiplied, will result in the given expression.

We can start by looking for two numbers whose product is 4 (the constant term) and whose sum is -5 (the coefficient of the x term).

The numbers that satisfy these conditions are -1 and -4, as (-1)(-4) = 4 and -1 + (-4) = -5.

Using these numbers, we can express the quadratic expression as:

x² - 5x + 4 = (x - 1)(x - 4)

Therefore, the factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).

Learn more about quadratic expression click;

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#SPJ6

Did I do this right not asking for answer unless I got it wrong

Answers

yes its right

there no need to ask any way

A circle has a circumference of 32.4 mm. Find the radius and the diameter. Round your answers to two decimal places.
5.16 mm; 10.31 mm
10.31 mm; 5.16 mm
5.16 mm; 2.58 mm
2.58 mm; 5.16 mm

Answers

Answer:

5.16 mm; 10.31 mm

Step-by-step explanation:

Circumference: [tex]C = 2\pi r[/tex]

So all you do is:

[tex]32.4=2\pi r\\32.4/2\pi = r\\5.16 = r[/tex]

and then the radius is just half of the diameter so

[tex]5.16*2=10.31[/tex]

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