The balance on your ATM receipt is $93.72. You just wrote a check this morning for $12.57. What is your adjusted balance?

Answer:

BC = 28 [tex]\frac{1}{3}[/tex] ft

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AX}{AB}[/tex] = [tex]\frac{XY}{BC}[/tex] , substitute values

[tex]\frac{12}{20}[/tex] = [tex]\frac{17}{BC}[/tex] ( cross- multiply )

12BC = 340 ( divide both sides by 12 )

BC = [tex]\frac{340}{12}[/tex] = [tex]\frac{85}{3}[/tex] = 28 [tex]\frac{1}{3}[/tex]

Let's see

[tex]\\ \rm\rightarrowtail f(x)=6(4/3)^x[/tex]

Put one by one

[tex]\\ \rm\rightarrowtail f(-3)=6(4/3)^{-3}=6(3/4)^3=6(27/64)=3(27/32)=81/32[/tex]

[tex]\\ \rm\rightarrowtail f(-2)=6(4/3)^{-2}=6(3/4)^2=6(9/16)=27/8[/tex]

[tex]\\ \rm\rightarrowtail f(-1)=6(4/3)^{-1}=6(3/4)=9/2[/tex]

[tex]\\ \rm\rightarrowtail f(0)=6[/tex]

[tex]\\ \rm\rightarrowtail f(1)=6(4/3)=8[/tex]

The area of the part of the mural Trevor has completed is

Area of a rectangle is the product of its length and width.

If a rectangle has length L units and width of W units, then

Area = L × W squared units.

Given;

Width of painting= 25m

Length of painting= 34m

Area of rectangle = L x W

= 25 x 34

= 850m^2

Therefore, the area of rectangle will be 850m^2

Learn more about area of a rectangle here:

https://brainly.com/question/4887838

#SPJ2

y = a(x - p)² + q

a = -1, p = -3, q = -2

y = -(x + 3)² - 2

Answer:

[tex] m\angle A = 133\degree [/tex]

Step-by-step explanation:

Quadrilateral ABCD is inscribed In a circle.

So, ABCD is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

(4x + 5)° + (x + 15)° = 180°

(4x + 5 + x + 15)° = 180°

(5x + 20)° = 180°

5x + 20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32

[tex] m\angle A = (4x + 5)\degree [/tex]

[tex] m\angle A = (4\times 32+ 5)\degree [/tex]

[tex] m\angle A = (128+ 5)\degree [/tex]

[tex] m\angle A = 133\degree [/tex]

Answer:

B. 200 cubic feet

Step-by-step explanation:

There are two prisms: the triangular prism and the rectangular prism

first lets start with the triangular one:

remember that for a right triangular prism (this one), the area is 1/2 x base x height x length

another way to think about it is to find the area of the triangle and then multiply that by the thickness

The base is 4 feet and the height is the same as the rectangular prism, which is 5

and the length is 4 ft (same as rectangular prism)

so 1/2 x 4 x 5 x 4 is 40

next lets do the rectangular prism

remember the volume is length x width x height

8 x 4 x 5 = 160

now we simply add the volume of the two prisms

40 + 160 = 200

and there's you're answer :)

hope that helps!

Answer:

Step-by-step explanation:

Area of triangular face = 0.5×4×5 = 10 ft²

Volume of triangular prism = 10×4 = 40 ft³

Volume of rectangular prism = 8×4×5 = 160 ft³

Total volume = 40+160 = 200 ft³

Answer:

40% = 0.40

800 / 0.40 = 2000 total tickets were sold

Step-by-step explanation:

Answer:

Dividing decimals +×÷=

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Answer:

[tex]\Huge\boxed{x=11.8}[/tex]

Step-by-step explanation:

Hello There

cos = adjacent divided by hypotenuse

the adjacent side of the angle that has a measure of 49 is x and the hypotenuse is 18

so

[tex]cos49=\frac{x}{18}[/tex]

once again we want to isolate the variable using inverse operations

to get rid of the 18 we multiply each side by 18

[tex]\frac{x}{18} *=x\\cos49*18=18cos49[/tex]

we're left with

[tex]x=18cos49[/tex]

now we let the calculator do the rest of the work

we end up with

[tex]x=11.80906252[/tex]

our final step would be to round to the nearest tenth

so we can conclude that the x = 11.8

Answer:

Step-by-step explanation:

= (3 + √3) (2 - √3)

= 6 - 3√3 + 2√3 - 3

= 3 - 3√3 + 2√3

= 3 - √3 (3 - 2)

= 3 - √3

= 3 - 1.732 ...... (√3 = 1.732)

= 1.268

Answer:

The answers for this question are 1 and 0

Answer:

the correct answers are 1 and 0

Answer:

B

Step-by-step explanation:

ABC:

A = 10 degrees

B = 145 degrees

145 + 10 = 165

180 - 165 = 15 degrees

C = 15 degrees

MNP:

M = 145 degrees

N = 15 degrees

P = so therefore, P is 165 degrees

MNP is similar to ABC

Answer:

I think its 33

Step-by-step explanation:

i may be wrong

Answer:

choice 2) 90

Step-by-step explanation:

-3xy = ?

x=5 and y= -6

-3(5)(-6) = 90

Answer:

Step-by-step explanation:

graph is translated left by 8 units

Answer: (x-5)2 would be your final answer

Answer:

its prolly just (x+5)2

Step-by-step explanation:

taking the test rn for it

Answer: He got to be elected president of the Republic of Texas.

Answer:

C

Step-by-step explanation:

Remark

The easiest way to do this is to add the two givens together and then multiply by two. Why 2?  Because the formula is P = 2(L + W)

Givens

L = 8x - 2

W = 4x - 4

Solution

P = 2*(8x - 2 + 4x - 4)

P = 2*(12x - 6)

P = 24x - 12

C

Answer:

the answers for 72-y=6 is 66

Answer:

its 66 bc if ur subtracting y from 72 to get 6 it has to be that

Answer:

SAS because their is 2 lines and 1 lines

Answer:

6

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The dice will have 6 sides so divide 54 by 6

Answer:

9

Step-by-step explanation:

The dice will have 6 sides so divide 54 by 6

HOPE THIS HELPS!!!!

Answer:

180°

Step-by-step explanation:

1/2 hour = 30 minutes

1 hour is 360° degrees.

1/2 hour = 360 ÷ 2 = 180°

Answer:

180

Step-by-step explanation:

because half a circle is 180 degrees and since 1/2 hour means she returns at 9:30 the minute hand would have to move half of a circle around the clock

Answer:

angle 6

hope that helps

14, 21

Step-by-step explanation:

Let the two consecutive multiples be 7n and 7(n+1).

Now, it is given that:

(7n)² + [7(n+1)]² = 637

Simplifying,

49n² + (7n+7)² = 637

49n² + 49n² + 2(7n)(7) + 49 = 637

(as (x+y)² = x² + y² + 2xy)

98n² + 98n + 49 = 637

98n² + 98n - 588 = 0

Dividing by 98 to further simplify,

n² + n - 6 = 0

Factorising, we get

n² + 3n - 2n - 6 = 0

n(n+3) - 2(n+3) = 0

(n+3)(n-2) = 0

Therefore we get n = -3 or n = +2.

Hence, we get the consecutive multiples as 14 and 21.

Feel free to ask if you didn't understand any part.

Hope this helps! :D

Answer:

YZ = 12.2

Step-by-step explanation:

YZ bisects XW and VW, therefore it is half of XV

24.4/2 = 12.2

Answer:

C.6

Step-by-step explanation:

Remember, a constant term is a term that keeps repeating. Also, it's the only term that doesn't contain a variable. In this equation, 6 is the constant.

Hope I helped!!!

Answer:

2 Packages of Napkins, 3 Packages of Cups

Step-by-step explanation:

12 * 2 = 24

8 * 3 = 24

Answer:

3 packages of cups and 2 packages of napkins