Colton has a stone paperweight composed of a triangular pyramid on top of a triangular

prism with the dimensions shown below. Use the drop-down menus to explain how to

determine the volume of the paperweight.

Answer:

0.51 and 11.24 seconds.

Step-by-step explanation:

The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:

[tex]h(t)=188t-16t^2[/tex]

And we want to find all values of t for which the rocket's height is 92.

So, we can set h(t) = 92 and solve for t:

[tex]92=188t-16t^2[/tex]

We can divide everything by four:

[tex]23=47t-4t^2[/tex]

Rearrange the equation:

[tex]4t^2-47t+23=0[/tex]

We can use the quadratic formula:

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

In this case, a = 4, b = -47, and c = 23. Substitute:

[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]

So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.

Answer:

the answer is a f(x)= x+5.

Step-by-step explanation:

the answer is f(x)= x+5 because in each row the value increases by 5.

Answer:

a

Step-by-step explanation:

Answer:

10/7 cm^3

Step-by-step explanation:

I can only assume that '30/7 cm^2' represents the area of the base and 1/3 cm the height.  If and only if that is the case, then the volume is

V = (base area)(height) = (30/7 cm^2)(1/3 cm) = 10/7 cm^3.

I think it’s positive. As it gets heavier, the cost has a positive slope, or increases. I’m not absolutely sure though

Answer:

80 + 40 + (x + 64) = 180

120 + (x + 64) = 180

-120                  -120

x + 64 = 60

-64        -64

X = -4

Step-by-step explanation:

Let's double check

64 - 4 = 60

60 + 80 + 40 = 180 It works!

Therefore X = -4.

Answer:

147.7 m²

Step-by-step explanation:

Area of the triangular faces = 1/2 × base × height

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.

Hence: 1/2 × 8 × 10 = 40 m²

A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²

= 120m²

The area of the base of the pyramid is 27.7 square meters.

Hence, the surface area of the pyramid is calculated as:

Area of the 3 lateral faces of the pyramid + Base area

= 120m² + 27.7 m²

= 147.7 m²

The surface area of the pyramid is 147.7 square meters.

Answer:

linear with a common first difference of 2

Step-by-step explanation:

If this is linear, the common first difference, or slope, will be the same throughout the entire table.

The formula for slope is



For the first set of points, we have:

m=(0--2)/(-2--3) = (0+2)/(-2+3) = 2/1 = 2

For the second set of points, we have:

m = (4-0)/(0--2) = 4/(0+2) = 4/2 = 2

For the third set of points, we have:

m = (12-4)/(4-0) = 8/4 = 2

The rate of change, or slope, is constant; this makes the function a linear function with a common first difference of 2

Hope it helps

Answer:

b on edge 2021

Step-by-step explanation:

Answer: I need this one too

Step-by-step explanation:

Answer:

180

180 - (98 + 46)

36

Step-by-step explanation:

Answer: -4,-2

Step-by-step explanation: Since it is reflected across the x- axis, translated two units left and six units down it would be -4, -2 because 2-6= -4

Answer:

area = 110.72 m²

Step-by-step explanation:

area of square = 8 x 9 = 72 m²

area of triangle = 1/2 x 3 x 9 = 13.6 m²

area of semi circle = 1/2πr² = 1/2(3.14)(4²) = 25.12 m²

total area = 72 + 13.6 + 25.12 = 110.72 m²

Answer:

The modes are 0 and 2. There are two because there are the same number of numbers. (four 0s and four 2s)

Answer: acute 90-

Step-by-step explanation:

Answer: 21.9

Step-by-step explanation:

tan-1(4 / 10)

I hope im right

Answer:

$137.50

Step-by-step explanation:

Simples interest = amount deposited x time x interest rate

2500 x 0.055 x 1 = 137.50

Answer:m

Step-by-step explanation:

Answer:

9:45pm

Step-by-step explanation:

3 hours= 9:30pm

3 hours including 15 minutes= 9:45 pm

Answer:

x = 18√3

Step-by-step explanation:

From the picture attached,

In a right triangle,

Measure of one angle = 30°

Measure of adjacent side of the angle = 9 units

We have to find the measure of Hypotenuse from the given properties.

By cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3}}{2} =\frac{9}{x}[/tex]

[tex]x=18\sqrt{3}[/tex]

Therefore, measure of Hypotenuse is 18√3 units.

Answer:

(B)

Step-by-step explanation:

I think it will help you

Answer: 1:44

Step-by-step explanation: 1:32. take the 32 and add 12. 1:44

Answer:

1:32

Now add 12 minutes to 32.

1:44

Step-by-step explanation:

The number on the left of the colum is the hour and the number on the right of the colum is the minutes.

Answer:

niki minaj " im the queen of rap" she said it

Step-by-step explanation:

Answer:

Nicki Minaj

Explanation:

Onika Tanya Maraj-Petty, known professionally as Nicki Minaj, has held the “Queen of Rap” title for at least ten years.

Answer:

-5.3 Fahrenheit

Step-by-step explanation:

mark me brainliest

Answer:

b

Step-by-step explanation:

Sorry there isn't. I have experienced the same thing before an unfortunately I was not able to view the question after it was deleted. Sorry again :(

Answer:

Exact Form: 70/3

Decimal Form: 23.333

Mixed Number: 23 1/3

Step-by-step explanation:

Answer:

3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying [tex]\sqrt{12}[/tex]

[tex]\sqrt{12}[/tex]

= [tex]\sqrt{4(3)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex]

= 2[tex]\sqrt{3}[/tex]

Then

[tex]\sqrt{3}[/tex] + [tex]\sqrt{12}[/tex]

= [tex]\sqrt{3}[/tex] + 2[tex]\sqrt{3}[/tex]

= 3[tex]\sqrt{3}[/tex]

Answer:

When your input is 3, (x value), the y-value would be 6.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

x = 10.7 (as rounded to the nearest tenths)

Step-by-step explanation:

Angle 50 is given and so is it's adjacent side, we have to find its opposite side so we will use the Tangent ratio;

Tan(50) = [tex]\frac{x}{9}[/tex]

=> To isolate the variable x, multiply 9 on each side of "="

Tan(50) * 9 = x

10.7 = x

Hope this helps!

Answer:

b. 2/5

Step-by-step explanation:

[tex] \frac{8}{20} \frac{ \div 4}{ \div 4} = \frac{2}{5} [/tex]

Answer:

The experimental probability of tossing heads is [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

The experimental probability is the probability that is determined on the basis of the results of an experiment repeated many times. Since Vernon tossed 8 heads during his 20 experiments, the experimental probability of tossing heads is [tex]\frac{8}{20}[/tex] or [tex]\frac{2}{5}[/tex].

Answer: A reasonable estimate of the minimum is 20.

Answer:

a = 21%

b = 260%

c = 25%

Step-by-step explanation:

I just answered that question

Answer:

The difference in areas:

Percent increase: