what is the value of the expression 43 ^ 2 ?

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:

Number 19 is A

Number 18 is C

Number 17 is D

Step-by-step explanation:

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:

x > 0

y > 0

Step-by-step explanation:

The first quadrant is the quadrant formed by the positive x-axis and the positive y-axis.

And we know that all the elements in this quadrant are larger than zero.

Then, a point (x, y) is on the first quadrant only if:

x > 0

y > 0

Note that we ignore the points with x = 0 or y = 0, this is because these points are shared between quadrants, and these points are not defined as belonging to any quadrant.

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:

40

Step-by-step explanation:

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

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:

A- 0.68

Step-by-step explanation:

0.58 is most likely to be the population parameter, since the sample proportions center around this value.

Option B is the correct answer.

We have,

When many large samples are taken from a population, the sample proportions should converge to the population proportion.

If the sample proportions center around a certain value, that value is likely to be a good estimate of the population proportion.

In this case,

Since the sample proportions center around 0.58, it is likely that the population proportion is also around 0.58.

Therefore,

0.58 is the most likely population parameter.

Learn more about population parameters here:

https://brainly.com/question/30689789

#SPJ7

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:

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:

I think -2g+5

Step-by-step explanation:

its distributive property and adding... hope this helped

Solution :

Cost of carpeting per square yard = $ 15.00

For 3 ft by 6 ft

1 yard = 3 feet

∴ 1 feet =  [tex]$\frac{1}{3}$[/tex] yard

So,

Therefore, area of 3 ft by 6 ft is = [tex]$3 \times \frac{1}{3} \times 6 \times \frac{1}{3} $[/tex]

                                                    = 1 x 2

                                                    = 2 square yard

Therefore, cost of carpeting 2 square yard = 2 x 15

                                                                       = $ 30

For 9 ft by 12 ft

1 yard = 3 feet

∴ 1 feet =  [tex]$\frac{1}{3}$[/tex] yard

So,

Therefore, area of 9 ft by 12 ft is = [tex]$9 \times \frac{1}{3} \times 12 \times \frac{1}{3} $[/tex]

                                                    = 3 x 4

                                                    = 12 square yard

Therefore, cost of carpeting 2 square yard = 12 x 15

                                                                       = $ 180

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:

Step-by-step explanation:

1/12 = 0.0833

-1 = 0.000

Answer:

18.0 i think

Step-by-step explanation:

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:

Hello your question is incomplete attached below is the complete question

a) attached below

b ) Vectors a1 and a2 are linearly independent  and this is because they are a scalar multiple of each other

c)  There are 3 equations and 4 unknown hence for any t value there will be a solution

Step-by-step explanation:

A) attached below

b) Vectors a1 and a2 are linearly independent  and this is because they are a scalar multiple of each other

C) there are 3 equations and 4 unknown hence for any t value there will be a solution

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:

− 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:

1/20

Step-by-step explanation:

Simple probability is found by counting all the results which fit requirements and dividing by all possible results.

To find probability of two results in a row, multiply chance of first result by chance of second result.

Since you are replacing the marble before the second draw, we don’t have to figure out the various changes in odds for the different possible first draws. It’s just that simple.

There are 5 black marbles

There are 4 red marbles

There are always 20 marbles in all

5/20*4/20=1/4*1/5=1/20

By coincidence, the same as the chance of drawing the white marble in one draw.

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:

cos 29 = x / 11

11 * cos 29 = x

x =  11 * 0.87462

x = 9.62082

Step-by-step explanation:

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!

Answer: 1 11/12 hours

Step-by-step explanation:

Since visitors spend 1/3 of their time waiting in line for rides and the Santos family spends 5¾hours at the park.

The tune spent waiting in line will be calculated by multiplying ⅓ by 5¾. This will be:

= ⅓ × 5¾

= ⅓ × 23/4

= 23/12

= 1 11/12 hours

Therefore, they'll wait in the park for 1 11/12 hours

Answer:

t = 7

I hope it's helps you

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)