Which of the following sets of numbers could represent the three sides of a

45-45-90 triangle?


1, 1, square root of 2

1, square root of 2 space comma end root square root of 3

1, square root of 3, 2

1, square root of 2 , 2

Answer:

U = 16206 + 22.2x

Step-by-step explanation:

This year, water usage has increased by 20% for both regular days and special events.. Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted

Solution:

Last year regular usage of water was 13505 gallons, where as it was 18.5 gallons per special event. Let us assume that there were x special invents, hence:

The total usage for last year = 13505 + 18.5x

This year, the total usage (U) increased by 20%, hence:

Total usage for this year (U) = total usage for last year + 20% of total usage for last year

U = (13505 + 18.5x) + 0.2(13505 + 18.5x)

U = 13505 + 18.5x + 2701 + 3.7x

U = 16206 + 22.2x

Answer:

X=10

X=-8

Step-by-step explanation:

(x+1)*(x-3)=77

x²-3x+x-3=77

x²-2x-3=77

x²-2x-3-77=0

x²-2x-80=0

(x-10)*(x+8)=0

x-10 = 0

x=10

x+8=0

X=-8

The two possible numbers that satisfy the given equation model are -8 and 10.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the successor of a number, when multiplied by the number decreased by 3 units, 77 is obtained.

Assume the number to be [x]. Its successor would be [x + 1]. Then, we can write -

(x + 1)(x - 3) = 77

Refer to the graph attached. The [x] - intercepts the solution. We get -

x = - 8

x = 10

Therefore, the two possible numbers that satisfy the given equation model are -8 and 10.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

[Refer to question in english -

Find the number that meets the following condition: if its successor is multiplied by the number decreased by 3 units, 77 is obtained.]

Answer:

If Zahara finishes a level in 201 seconds, she earns:

Step-by-step explanation:

To identify the number of points that Zahara obtained when she finished a level in 201 seconds, you must use the given expression:

Where:

As Zahara took 201 seconds to finish a level, we're gonna replace this value in the equation:

As you can see, Zahara obtains 294.5 points if she finishes the level in 201 seconds.

Answer:

The scale factor is 3 and the translation is (-8,2)

Step-by-step explanation:

(I'm not very good at translation/dilation but since you asked, I'm pretty sure this is the answer!)

Answer:

we know that 8+6x=30+4x+2

2x=24

x=12

pls mark as brainliest

Answer:

Step-by-step explanation:

By applying the Exterior angle theorem.

[tex]\bf 30+4x+2+8+6x[/tex]

[tex]\bf 4x+30+2=8+6x[/tex]

[tex]\bf 4x+32=8+6x[/tex]

[tex]\bf 4x+32-32=8+6x-32[/tex]

[tex]\bf 4x=6x-24[/tex]

[tex]\bf 4x-6x=6x-24-6x[/tex]

[tex]\bf -2x=-24[/tex]

[tex]\bf \cfrac{-2x}{-2}=\cfrac{-24}{-2}[/tex]

[tex]\bf x=12[/tex]

Answer:

4/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that a student selected at random takes math or science = probability a student takes maths + probability a student takes science

probability a student takes maths = number of maths students / total number of students

probability a student takes science = number of science students / total number of students

(500 / 2000) + (1100 / 2000) = 1600/2000 = 4/5

Answer:

a. 1 fourth

b. 1 half

c. 1 whole

Answer:

Step-by-step explanation:

radius =diameter/2

=15/2

=7.5 mm

circumference=2πr

=2*3.14*7.5

=47.1 mm

The equation that can be used to determine the circumference of the DVD is π15.

The DVD has the shape of a circle. The circumference of a circle is the distance round the circle. The diameter of a circle is a straight line that touches two points on the circumference of a circle and also passes through the center.

The circumference of a circle = πD

Where:

d is the diameter

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

Answer:

10 ?

Step-by-step explanation:

need a picture.

but if 2 angles are 130 and the other 2 are 5x then x has to be 10

Answer:

equation of the line that passes through (2,7) and (7,12) is y=x+5

Answer: Natasha is 17 and Ravi is 25

Step-by-step explanation:

Let n = Natasha’s age and r = Ravi’s age

We can write an equation then substitute: 42=n+r

We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)

Simplify:

42=n+(n+8)

42= 2n+8

42-8=2n+8-8 (subtract 8 from both sides to isolate n)

34=2n

34/2=2n/2 (divide both sides by two)

17=n

Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]

Answer:

Step-by-step explanation:

Hope this helps u !!

Step-by-step explanation:

[tex] \frac{ {x}^{a + b} \times {x}^{b + c} \times {x}^{c + a} }{ {x}^{2a} \times {x}^{2b} \times {x}^{2c} } \\ \\ = \frac{ {x}^{a + b + b + c + c + a} }{ {x}^{2a + 2b + 2c} } \\ \\ (∵ {x}^{m} \times {x}^{n} = {x}^{m + n} ) \\ \\ = \frac{ {x}^{2a + 2b + 2c} }{ {x}^{2a + 2 b+ 2c} } \\ \\ = 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

Answer:

6-3=3

3 is the answer because they gave you the value of Y and Z then they asked you to subtract

Answer:

$127

Step-by-step explanation:

Ur welcome :)

Answer:

2+(2÷2)

2+1

3

La respuesta es 3 :)

Answer:

la mitad de dos mas dos es 2

Step-by-step explanation:

2+2= 4 la mitad de cuatro es 2

espero que ayude y diganme si me equivoque no entendi mucho la pregunta

porfavor denme brainslet o thanks me ayuda mucho que tengan un buen dia

Answer:

A.equal to

Step-by-step explanation:

thats the answer correct me if you want

Answer:

Alternate Interior Angles

Step-by-step explanation:

They are alternate interior angles. The reason this works is because 4 is opposite to 3, meaning that 4 is equivalent to the value of (180-Angle3)

Meanwhile 6 is equivalent to (180-Angle5). Angle 5 is the same value is Angle 4.

Answer:

x ≤ −6 or x ≥ 1

Answer:

8 times larger

Step-by-step explanation:

(15+10) is the singular equation alone. Muiltiply it by 8, and it's 8 times larger then the initial singular expression. Therefore, the answer is 8 times larger.

Answer:

366

Step-by-step explanation:

A garden table and bench cost 816 when combined together

The garden table cost 84 less than the bench

Therefore the price of the bench can be calculated as follows

x + (x+84)= 816

2x+84= 816

2x= 816-84

2x= 732

Divide both sides by 2

x= 732/2

= 366

Hence the price of the bench is 366

0.46

Step-by-step explanation:

23÷50= 0.46

.

.

.

.

.

.

Answer:

C. (2x – 3)(x + 5) = 0

Step-by-step explanation:

The equation in standard form should be 2x^2 + 7x - 15 = 0

Factored the expression is (2x - 3)(x + 5).

In order to find the factored portion, you must look for factors of the front number (2) to use in the front of the parenthesis and factors of the last number (-15) to go in the end.  

When we use the ones that we have above, it distributes to the overall end result.  

(2x - 3)(x + 5)

2x^2 - 3x + 10x - 15

2x^2 + 7x - 15

Answer:

if its addition then it will be 79cm

Answer: 4'6 2'4

Step-by-step explanation:

Answer:

4(x+3)=3(x-12)

=4x + 12= 3x - 36

= 4x- 3x= -36 - 12

= x = -48

Answer:

x = 5

Step-by-step explanation:

Add the equations

x + y = 3

x - y = 7

––––––––

2x = 10

Divide both sides by2

x = 5

Note: for the equations in the question,

none of the given answers are correct.

Answer:

t = 13 hours

The values will be equal in 10 years.

Step-by-step explanation:

Three

There are two ways to do this problem. I'll do it the simplest way -- which will benefit you most if you are about to take a physics class.

Follow these observations.

Solution

Time it takes to Catch Tom = distance to be made up / difference in speed

Distance to be made up = 65 miles

Difference in speed = 5 mph

Time taken for michelle to catch Tom = t

t = 65/5

t = 13 hours.

Solution Two

The distance is the same when Michelle catches Tom

d = r*t

Michelle's rate = 70 mph

Michelle's time = t

Tom's rate = 65

Tom's Time = t + 1

70 * t = 65(t + 1)

70 * t = 65*t + 65

70*t - 65*t = 65

5t = 65

t = 65/5 = 13

In thirteen hours, Michelle will catch Tom

Four

One house increases by 10000 the other decreases by 5000. You could do it using the first method above, but in this case the second is actually easier.

Juan: 200000 + 10000*t

Tia  : 350000 - 5000t

When will the be equal (at what price and when?).

200000 + 10000t =350000 - 5000t         Divide by 1000

200 + 10t = 350 - 5t                                    Add 5t to both sides

200 + 10t + 5t = 350                                   Combine

200 + 15t = 350                                          Subtract 200 from both sides

15t = 150                                                      Divide by 15

t = 150/15

t = 10 years

Answer:

x=-3

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

red + green = 50 + 20 = 70 marbles

Total marbles = 50 + 30 + 20 = 100 marbles

P(red or green) = 70/100

P(red or green) = 7/10