At the beginning of the business day a bank vault had $575,900. By the end of the day, $ (3.5 x 10^3) have been added to the vault how much money did the banks fault told at the end of the business day write your answer in standard form.

Answer:10

Step-by-step explanation:Use the Pythagorean theorem a^2 + b^2 = c^2, a is 8 and b is 6 so now you have 8^2 + 6^2 = C^2 this simplifies to 64 + 36 = c^2 those 2 numbers add up to 100 so C^2 is 100 then to get C you take the square root of 100 which is 10

The missing side 10.

Option C is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Applying the Pythagorean theorem.

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10

Thus,

The missing side is 10.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

Answer:

The answer is 5/6

Step-by-step explanation:

7/12 + 3/12 = 10/12

10/12 = 5/6 ( divide the numerator and denominator by 2)

Answer: 3/2

Step-by-step explanation:

To find slope you use the formula: m= y2-y1/x2-x1

So plugging stuff in it’s (7-4)/(3-1)

This comes out to be 3/2

Which means when graphing you go up 3 and right 2

Answer:

this is Newton's first law

Step-by-step explanation:

the soccer ball when kicked keep going forward until friction a person or another object like a wall stops it when the soccer ball is resting non-moving on the ground or stay like that until someone kicks it or another Force acts upon it

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].

Answer:

sorry im just answering this cuz need points

Step-by-step explanation:

this is for the Sin

*Remember that sin = opposite / hypotenuse*

a² + b² = c² (where a and b are legs and c is the hypotenuse)

From the picture, you can see:

a = 3

c = 4

Plug these into the equation and solve for b.

* a² + b² = c² *

step 1: 3² + b² = 4²

step 2: 9 + b² = 16

step 3: b² = 16 - 9

step 4: b² = 7

step 5: √(b²) = √7

step 6: b = ± √7

FOR COS:

From the picture,  you can see that if θ is in quadrant II, b has to be negative.

b = -√7 = adjacent

Remember that cos θ = adjacent / hypotenuse.

cos θ = adjacent / hypotenuse

cos θ = (-√7 / 4)

Answer:

13.695

Step-by-step explanation:

78.75/5=15.75/5.75=2.739*5=13.695

Answer: 17 to 15

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

The slope of the line will be "[tex]-\frac{2}{3}[/tex]".

The given points are:

[tex](x_1, y_1) = (0, -2)[/tex]

[tex](x_2, y_2) = (3, -4)[/tex]

As we know,

→ The slope of the line:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

= [tex]\frac{-4-(-2)}{3-0}[/tex]

= [tex]\frac{-4+2}{3}[/tex]

= [tex]-\frac{2}{3}[/tex]

Learn more about slope of line here:

https://brainly.com/question/18891994

Answer: 45 yards

Step-by-step explanation:

From the question, we are given the information that the plans for a new street show lamp post that are 2.5 inches apart and that the plans use a scale of 0.5 inch = 9 yards,

Since a scale of 0.5 inch = 9 yards is used, the actual distance between the lamp posts will be:

= (2.5inches / 0.5 inches) × 9 yards

= 5 × 9 yards

= 45 yards

Answer:

(465 - 75) ÷ 65

She worked for 6 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

jj

Answer:

Fkgjjgjvvkvkkv

Step-by-step explanation:

Mcmvvnvnvfngnfkkfkfkfxkcjccnvnvnvvn

Hhh

Answer:

h (1,2), w (3,4), y (6,0)

Step-by-step explanation:

Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign

Answer:

the answer is A because it has all numbers less than 15

Step-by-step explanation:

Answer:

I think it's 7.5 correct me if i'm wrong

Step-by-step explanation:

7.5 is half of 15

Use the midsegement theorem

Answer:

cylinder

Step-by-step explanation:

The translation of the given question is

f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient

Answer:

We need to determine slope and position coefficient which is the intercept.

f (x) = - 8x− 4   we know that f(x) is y

slope intercept form of the line

y = -8x -4

slope = -8

intercept = -4

similarly

f (x) = 6x− 12

y = 6x -12

slope =6

intercept = -12

Answer:

4

Step-by-step explanation:

Answer:

y= -6

Step-by-step explanation:

-4y - 20 + 19 = -y + 17        *add y on the right to get rid of -y

+y                    +y                then add it to -4y

-3y - 20 + 19 = 17               *add 20 to the left to get rid of -20  

     +20           +20              then add it to 17

-3y + 19 = 37                      *subtract 19 from the left to get rid of 19

       -19    -19                      then subtrcat 19 from 37 as well

-3y = 18                             *now we want to divide both sides by -3 to

-3      -3                               get y by it's self

y = -6                                *no we're left with y = -6 :D

- im sorry if this doesn't make sense x(

Answer:

3

Step-by-step explanation:

Umm there is no numbers

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

Answer:

f

Step-by-step explanation:

f

Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

Check:

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36