Triangle ABC is similar to triangle WYZ.

Determine whether the following statement is true or false.

sin(B)>sin(Y)
Question 2 options:
True
False

Answer:

Step-by-step explanation:

1/12 = 0.0833

-1 = 0.000

Part A: Sally paid less money per pound than Fred did

Part B: John paid $3.58 for 5.5 pounds of apples at the Grocery Mart

Part C: y = 0.65x

Step-by-step explanation:

Part A:

Sally: 1.5/2.5 = x/1

cross multiply: 2.5x = 1.5*1

simplify: 2.5x = 1.5

divide both sides by 2.5: x = 0.6

Fred: 1.95/3 = x/1

cross multiply: 3x = 1.95*1

simplify: 3x = 1.95

divide both sides by 3: x = 0.65

Fred paid 65¢/pound while Sally paid 60¢/pound

Part B:

price/pound*amount John bought: 0.65/1 = x/5.5

cross multiply: 1x = 0.65*5.5

simplify: x = 3.575

Part C:

y = 0.65x

Answer:

I think it is 3(x+1) not sure but try it(it is a graph answer)

Answer:

The ball is in the air for about 5.873 seconds.

Step-by-step explanation:

The function:

[tex]f(x)=-5x^2+20x+55[/tex]

Models the height of a ball x seconds after it is thrown in the air.

And we want to find the total time the ball is in the air.

So, we can simply find the time x at which the ball lands. If it lands, its height f above the ground will be 0. Thus:

[tex]0=-5x^2+20x+55[/tex]

We will solve for x. Dividing both sides by -5 yields:

[tex]0=x^2-4x-11[/tex]

The equation is unfactorable, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -4, and c = -11. So:

[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-11)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle\begin{aligned} x&=\frac{4\pm\sqrt{16+44}}{2}\\&=\frac{4\pm\sqrt{60}}{2}\\&=\frac{4\pm2\sqrt{15}}{2}\\&=2\pm\sqrt{15}\end{aligned}[/tex]

Approximate:

[tex]x_1=2+\sqrt{15}\approx5.873\text{ or } x_2=2-\sqrt{15}\approx-1.873[/tex]

Since time cannot be negative, our only solution is the first choice.

So, the ball is in the air for about 5.873 seconds.

Answer:

Number 19 is A

Number 18 is C

Number 17 is D

Step-by-step explanation:

Answer: for me it must be A or C I have a picture how I find my answer.

Step-by-step explanation: Hope this help :D

Answer:

I think -2g+5

Step-by-step explanation:

its distributive property and adding... hope this helped

Should be D. if I'm correct. This pair of angles doesn't seem to be in the right position to form a 90 degree or a 180 degree angle, ruling out supplementary and complementary angles, and they definitely aren't vertical angles, leaving only choice D: None of the above.

Answer:

That is the simplest form.

Step-by-step explanation:

[tex]3x^2+13x+4[/tex] = (3x+1)(x+4)

Answer:

The equation is already simplified!

Step-by-step explanation:

credits to the user jlinnartz for pointing out my mistake! kudos to the explanation above!!! :)

Answer:

1/2

Step-by-step explanation:

there ARE ONLY TWO GENDERS

THE dog can be male or female =

sum genders = 2

probability of been a male = 1/2

Answer:

18.0 i think

Step-by-step explanation:

Answer:

160° = (10x + 50°) [Vertically Opposite Angles]

[tex]10x + 50 = 160 \\ 10x = 160 - 50 \\ 10x = 110 \\ x = \frac{110}{10} \\ x = 11[/tex]

Option A. 11 is the correct answer.

Answer:

Step-by-step explanation:

both  A and B are equivalent

Answer:

t = 7

I hope it's helps you

Answer:

yes

because it has length, side and base

Answer:

No

Step-by-step explanation:

If it is a right angled triangle, then it will satisfy the pythagoras theorem, which is as follows:

Perpendicular² + Base² = Hypotenuse²

{hypotenuse is the longest side in a right-angled triangle}

LHS : Perpendicular² + Base²

(15)² + (10)² = 225 + 100 = 325

RHS : Hypotenuse²

(17)² = 289

LHS ≠ RHS

Does not satisfy pythagoras theorem

So the triangle is not right angled

Answer:

− 2 sin ( 0 ) ⋅ sin ( 0 ⋅ π /0 m ) + cos ( 0 ) ⋅ cos ( 0 ⋅ π /0 m ) = 0  is not an identity

Step-by-step explanation:

Answer:

One cup of coffee is $3.25

Step-by-step explanation:

Create a system of equations where c is the cost of a cup of coffee and d is the cost of a donut

2c + 4d = 10.5

c + 5d = 8.25

Solve by elimination by multiplying the top equation by -5 and the bottom equation by 4

-10c - 20d = -52.5

4c + 20d = 33

Add them together and solve for c

-6c = -19.5

c = 3.25

So, a cup of coffee is $3.25

Answer:

180 in^2

Step-by-step explanation:

to find the height you need to look at the triangle and apply pythagorean theorem

5^2=x^2=13^2

25+x^2=169

x^2=144

x=12

now we can find the area of the parallelogram:

b*h=area

15*12=180 in^2

The area of the parallelogram is 180 in^2

Answer:

Step-by-step explanation:

80-31.16=48.84 (the amount of the money that Elsa spent)

48.84:8.14=6 (the amount of coffee that she bought)

Answer:

r = 3 1/4

Step-by-step explanation:

Here, we want to find the value of r given the values

Firstly, we will write r as the subject of the formula

U = π ( r + h)

U/π = r + h

r = U/π - h

Now substitute;

U = 16 1/2 = 33/2

h = 2

π= 22/7

r = 33/2/22/7 - 2

r = (33/2 * 7/22) - 2

r = 21/4 - 2

r = (21-8)/4

r = 13/4 = 3 1/4

Answer:

40

Step-by-step explanation:

(120 - 40)/2 = 80/2 = 40

Answer:

32+160

Step-by-step explanation:

Answer:

Each age of the triplets should be 8 years old.

Step-by-step explanation:

38-14=24

24 divided by 3 = 8

Answer:

Triplets are 8 not sure on the equation but I think its y = 8x + 38.

Step-by-step explanation:

I'm assuming that all their ages together equal 38 therefore I would take,

38 - 14 = 24; this means that the triplets ages added together equal 24. Since triplets means 3 I will take,

24 dived 3 = 8.

I check my work by doing 14 + 8 + 8 + 8 = 38.

you asked for an equation I'm sure what you mean but I can try; I'm putting it into slope intercept form.

y = 8x + 38

Answer:

x = 14.4

Step-by-step explanation:

Similar means that the figures are proportional to each other. Because of this, we can form a problem. [tex]\frac{9}{5}[/tex] (the short side lengths) = [tex]\frac{x}{8}[/tex] (the long side lengths). Now we can solve this by cross-multiplying. If we multiply 9 · 8 we get 72, and 5 · x is 5x. 72 = 5x. Now divide both sides by 5. 72 ÷ 5 = 14.4. Therefore, x should be equal to 14.4. Does this make sense?

Answer:

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

Step-by-step explanation:

Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:

Triangular prism

[tex]V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm[/tex]

[tex]V_{tp} = 90\,cm^{3}[/tex]

Cuboid

[tex]V_{c} = 6\,cm\times 5\,cm \times 20\,cm[/tex]

[tex]V_{c} = 600\,cm^{3}[/tex]

Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:

[tex]r = \frac{V_{tp}}{V_{c}}[/tex]

[tex]r = \frac{3}{20}[/tex]

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

Answer:

34.8 miles

Step-by-step explanation:

First, we know that Area = Length * Width. Let's plug in those values.

1,280.64 = x * 36.8 (I put the variable "x" there since we don't know what it is)

Now, solve for x (we want to have x by itself, so divide both sides by 36.8)

34.8 = x

Now that we know that the width of it is 34.8 miles, let's check our work.

34.8 * 36.8 = 1,260.64

This equation IS true, so:

The width of the rectangle is 34.8 miles. Hope this helps!