Reuben bought a bike from an online sports store. The bike was shipped to his home in Sterling, Alberta from Provo, Utah. The list price for the bike was $688 US. On the day he ordered the bike, the currency exchange rate was 1 USD = 1.02 CAD. How much did Rueben pay for the bike in Canadian dollars?

Answer:

look at the picture i have sent

Answer:

d

Step-by-step explanation:

this shape is made up of a triangular prism and a rectangular prism. the formula for the volume of a prism (any prism, doesn't matter) is base area times height. the base areas of the rectangular prism can be found by multiplying 4*12, as these are the dimensions of the base rectangle. 4*12=48. we now multiply this number by the height of the rectangular prism as shown in the volume of a prism formula. the height of the rectangular prism is 14, so 48*14=672. the volume of the rectangular prism is 672 cm^3.

now for the triangular prism. the bases of the triangular prism are the two triangle shapes on the ends; a prism is named after the shape of its base, so be sure to note that you use the triangles for the formula and not the rectangle on the bottom. to find the area of one of these bases (they are both the same), we use the triangle area formula, 1/2*base*height. the base of the triangle shape is 4 units long, as seen by the measurements of the rectangle this triangle sits on top of. to find the height of this triangle, which isn't given, we must use the pythagorean theorem, a^2+b^2=c^2. c in this case is equal to 4 as that is the hypotenuse, and a and b are interchangeable. since the pythagorean theorem only works for right triangles, we must cut the base length in half to assume that the final side is a vertical line, which will give us the height of the original triangle. (note: halving the base length in order to apply the pythagorean theorem only works in this case because both of the other sides are equal length, as we can see on the far triangle, so make sure this applies before trying it in another context) the halved base length is 2, and this number can be either a or b, doesn't matter because the formula adds them. so: (2)^2+b^2=4^2. 2^2 is 4, and 4^2 is 16. 4+b^2=16. subtract 4 from both sides, leaving you with b^2=12, and to get rid of the square on b you take the square root of both sides. so the height of this triangle is the square root of 12, which doesn't need to be simplified if you have a calculator that can process square root input. so to find the area of this triangle, we convert the equation 1/2*base*height into 1/2*4*square root of 12. this gets you about 6.93. to find the total volume of this prism, you multiply the base area times height. as we just figured out, the base area is 6.93, and the height is 12, because this is the length between the two bases, which are the triangles. so, 6.93*12=83.16 is the volume of the triangular prism. the final step is to add this to the volume of the rectangular prism, which is 672. 672+83.16= 755.16 cm^3.

hope this helps! :)

Answer:

120miles

Step-by-step explanation:

I am not sure exactly I just guessed that since it's 40 miles an hour, it would be 40 x 3 ~ but am not sure... hope it works out!

btw am rlly bad at this :'')

- sry if am wrong

Answer:

A rectangle has 2 lines of symmetry

Answer:

112.25

Step-by-step explanation:

Answer:110.25

Step-by-step explanation:

Answer:

12/25

Step-by-step explanation:

If you got 26 tails, that means you got 50 - 26 or 24 heads. The experimental  probability can be represented by the desirable flips over the total number of flips. We are looking for heads, so the amount of heads is the amount of desirable flips, and the total is 50. From this, we get the fraction 24/50 which simplifies to 12/25.

Answer:

The approximate distance between points D and E is 8.25

Step-by-step explanation:

The figure is as follows :

To find - What is the approximate distance between points D and E ?

Solution -

By Pythagoras Theorem, we get

(DE)² = (FE)² + (DF)²

        = (8)² + (2)²

        = 64 + 4

        = 68

⇒(DE)² = 68

⇒DE = √68

⇒DE = 8.246

∴ we get

The approximate distance between points D and E is 8.25

The equation can be used to calculate the output values in the table is y = 2x.

A equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

The equation can be used to calculate the output values in the table is determined in the following equation.

The equation is;

y = 2x

When the value of y = 4 the value of x is;

y = 2x

4 = 2x

x = 4/2

x = 2

When the value of y = 6 the value of x is;

y = 2x

6 = 2x

x = 6/2

x = 3

When the value of y = 8 the value of x is;

y = 2x

8 = 2x

x = 8/2

x =4

When the value of y = 10 the value of x is;

y = 2x

10 = 2x

x = 10/2

x = 5

Hence, the equation can be used to calculate the output values in the table is y = 2x.

Learn more about equation here;

https://brainly.com/question/10413253

#SPJ2

Answer:

9.57 ft²

Step-by-step explanation:

assuming the diigram attached is similar to the one required to complete the question,

From the diagram

Area of the window = Area of the rectangle+ Area of the semi circle.

A = lw+πr²/2................ Equation 1

Where A = area of the window, l = length of the rectangle, w = width of the rectangle, r = radius of the semi circle.

From the diagram,

Given: l = 4 ft, w = 2 ft, r = w/2 = 2/2 = 1 ft.

Constant: π = 22/7

Substitute these values into equation 1

A = (4×2)+(22/7×1²/2)

A = 8+1.57

A = 9.57 ft²

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (14, - 9)

m = [tex]\frac{-9+9}{14-8}[/tex] = [tex]\frac{0}{6}[/tex] = 0

Answer:

WXV=87° because they are opposite angle

Step-by-step explanation:

frist we need to find TU

TU=1/2×87°

TU=43.5

WSTU is half circle =180°

WS+ST+TU=180°

72°+43.5+ST=180°

115.5+ST=180°

ST=180°-115.5

ST=64.5°

the measurement of UV=wu-x

UV=180°-87°

UV=93° the inner angle that made by UV

the arc of UV1/2=93° cross production

UV=46.5

vst i didn't understand

i help you???

Answer:

x ≠ 4/5, x ≠ 9/4

You can also write it as "all real numbers except 4/5 and 9/4."

Step-by-step explanation:

The denominator of a fraction cannot equal 0. We can write this relation to find what x does NOT equal:

(5x - 4)(4x - 9) ≠ 0

We can use the zero-product property to get two separate equations:

5x - 4 ≠ 0

5x ≠ 4

x ≠ 4/5

4x - 9 ≠ 0

4x ≠ 9

x ≠ 9/4

Answer:

y = -2x + 5 [ 1st option ]

Step-by-step explanation:

Consider any two points , say

Firstly let's find the slope of the line as ,

=> m = y₁ - y₂ / x₁ - x₂

=> m = 3-1 / 1-2

=> m = 2/-1

=> m = -2

Third point is, (3 , -1) . Using slope point form .

=> y - y₁ = m ( x - x₁ )

=> y - (-1) = -2( x - 3)

=> y + 1 = -2x +6

=> y +2x +1-6=0

=> y +2x -5 = 0

=> y = -2x + 5

On looking at options first one is correct

Answer:

z/y

Step-by-step explanation:

Answer:

[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]

Step-by-step explanation:

we have a right angle triangle composited in a semi-circle we want to figure out the area of the triangle

in order to do so we need to figure out the adjacent side (height AB)

since the given triangle is a right angle triangle we can consider Pythagoras theorem given by

[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]

given that,a=21 and c=28

substitute:

[tex] \displaystyle {21}^{2} + {b}^{2} = {28}^{2} [/tex]

move left hand side expression to right hand side and change its sign:

[tex] \displaystyle {b}^{2} = {28}^{2} - {21}^{2} [/tex]

square root both sides:

[tex] \displaystyle {b}^{} = \sqrt{{28}^{2} - {21}^{2} }[/tex]

use algebraic indentity:

[tex] \rm \displaystyle {b}^{} = \sqrt{({28}^{} + 21) (28 - {21}^{})}[/tex]

simplify:

[tex] \rm \displaystyle {b}^{} = \sqrt{({49}) ( 7)}[/tex]

use redical property:

[tex] \rm \displaystyle {b}^{} = 7 \sqrt{ 7}[/tex]

now to figure out the area we can consider the following formula:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]

remember that,h=AB=7√7 and b=BC=21 thus substitute:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 21 \times 7 \sqrt{7} [/tex]

simplify multiplication:

[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]

hence,

the area of the triangle is 194 (approximately)

note: you can also use horon's formula but I like to keep things simple

Please find attached photograph for your answer.

Answer:

true false true

Step-by-step explanation:

Answer:

y = 259.6/2 = 129.8 degrees. so x = 129.8 - 79.6 = 50.2 degrees.

Step-by-step explanation:

I got this answer from somewhere else. but it is correct. i hope this helped.

Answer: -1/2 and -3/2

Step-by-step explanation:

45 percent (calculated percentage %) of what number equals 15.75? Answer: 35.

Answer:

35

Step-by-step explanation:

15.75 / 0.45 = 35

Answer:

7k-7-2=75

7k-9=75

7k=75+9

k=84/7

k=12

Step-by-step explanation:

Answer:

Monsoon.

Step-by-step explanation:

Answer:

upper level

Step-by-step explanation:

I think it is because it it sounds like it match

Answer:

∠L = 43°

∠M = 121°

∠N = 16°

Step-by-step explanation:

Start by setting all sides equal to 180

3x - 5 + 7x + 9 + x = 180

Add like terms

11x + 4 = 180

Solve for x

11x + 4 = 180

      - 4     - 4

      11x = 176

     / 11     /11

        x = 16

Now, plug in 16 for all instances of x on the triangle and solve.

∠L = 43°

∠M = 121°

∠N = 16°

[tex]x_{v}[/tex]Answer:

The vertex of an up - down facing parabola of the formy = ax" + bx + c is xy =

The parabola params are:

a = 8, b = -14, c =3

[tex]x_{v}=b/2a[/tex]

[tex]x_{v}[/tex]=-(-14)/2·8

simplify

[tex]x_{v}[/tex]=-(-14)/2·8

[tex]x_{v} = 7/8[/tex]

Plug in [tex]x_{v}[/tex]=7/8to find the [tex]y_{v}[/tex] value

[tex]y_{v}[/tex]= -25/8

Therefore the parabola vertex is

(7/8 , -25/8)

If a < 0, then the vertex is a maximum value

If a > 0, then the vertex is a minimum value

a = 8

Minimum(7/8 , -25/8)

Answer:

i think it's 4^ 19

4^11/4^-8

4^ 11 +8

4^19

Answer:

A

Step-by-step explanation:

Answer:

[tex]x = 5[/tex]

[tex]y = 16[/tex]

Step-by-step explanation:

Given

See attachment for parallelogram

Required

Find variables x and y

Solving for x, we have:

[tex]5x = 25[/tex] ---- Opposite sides of a parallelogram

[tex]\frac{5x}{5} = \frac{25}{5}[/tex] ------ Divide both sides by 5

[tex]x = 5[/tex]

Solving for y, we have:

[tex]3y - 1 = 47[/tex] ---- Opposite sides of a parallelogram

[tex]3y = 1 + 47[/tex] ------ Collect like terms

[tex]3y = 48[/tex]

[tex]\frac{3y}{3} = \frac{48}{3}[/tex] ---- Divide both sides by 3

[tex]y = 16[/tex]

Answer:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Step-by-step explanation:

Answer:

You know the with and the length and height of all of them so just do math :)

Step-by-step explanation: