Helpppp meee pleaseee!!!! 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:

240 Square Inches

Step-by-step explanation:

See the attached diagram

The Isosceles Triangle based prism consists of two triangles of equal area, to rectangles of equal area and the rectangle at the base.

Therefore:

Surface Area of the Prism =Surface Area of Two Triangular Base+Area of three Rectangles

Area of one Triangular Base=0.5 X 8 x 3 =12 Square inches

Area of Rectangle 1=5 x 12 =60 Square Inch

Area of Rectangle 2=5 x 12 =60 Square Inch

Area of Rectangle 3=8 x 12 =96 Square Inch

Therefore:

Surface Area of the Prism=2(12)+2(60)+96

=240 Square Inches

Answer:

240 in²

Step-by-step explanation:

The prism has an isosceles triangle with the following data:

- Two lengths = 5 inches

- Other length = 8 inches

- Height = 12 inches

Since the prism consist of 2 triangle bases and three rectangular faces, the surface area (SA) of the prism can be calculated as follows:

[tex] SA = SA_{b1} + SA_{b2} + SA_{f1} + SA_{f2} + SA_{f3} [/tex]

Where:

[tex]SA_{b1}[/tex] and [tex]SA_{b2}[/tex] are the surface areas of the two triangle bases.

[tex]SA_{f1}[/tex], [tex]SA_{f2}[/tex] and [tex]SA_{f3}[/tex]: are the surface areas of the three rectangular faces.  

The surface area of the triangle bases can be calculated as follows:

[tex] SA_{b1} = SA_{b2} = \frac{b*h}{2} [/tex]

Where:

b: is the base = lenght of 8 inches

h: is the height = 3 inches

[tex] SA_{b1} = SA_{b2} = \frac{8*3}{2} = 12 in^{2} [/tex]

Now, we need to find the surface area of the rectangular faces using the following data:

Rectangular face 1 = rectangular face 2:  

- One side = 12 inches

- Other side = 5 inches

Rectangular face 3:

- One side = 12 inches

- Other side = 8 inches

Hence, the SA of the rectangular face 1 and rectangular face 2 is:

[tex] SA_{f1} = SA_{f2} = 12*5 = 60 in^{2} [/tex]

And the SA of the rectangular face 3 is:

[tex] SA_{f3} = 12*8 = 96 in^{2} [/tex]

Finally, the SA of the prism is:

[tex] SA = SA_{b1} + SA_{b2} + SA_{f1} + SA_{f2} + SA_{f3} [/tex]

[tex] SA = 2*12 + 2*60 + 96 = 240 in^{2} [/tex]      

Therefore, the surface area of the prism is 240 in².

I hope it helps you!

Answer:

The answer is exponentially.

Step-by-step explanation:

Because your X goes up by one while your f(x) goes up by three for every X, which makes it exponential.

Answer:

exponentially

Step-by-step explanation:

Answer:

The question is incomplete, here is the complete question.

Carmen used a random number generator to simulate a survey of how many children live in the households in her town. There are 1,346 unique addresses in her town with numbers ranging from zero to five children. The results of 50 randomly generated households are shown below. Children in 50 Households Number of Children Number of Households 0 5 1 11 2 13 3 10 4 9 5 2 Using a proportion, what can you infer about the number of households in her town that have more than three children?

A) About 242 households have more than three children.

B) About 269 households have more than three children.

C) About 296 households have more than three children.

D) About 565 households have more than three children.

Step-by-step explanation:

The given sample size is 50

The number of households with more than three children = 9+2

= 11

The proportion of household where more than three children are present is calculated by:

Household with a greater number of children/sample size

= 11/50

The original household size= 1,346

Therefore, the amount of household with children greater than 3 is:

= 1346×11/50

= 1346× 0.22

= 296.12

= 296

Thus, about 296 households have more than three children.

Answer: hi lissette

Step-by-step explanation:

Answer:

Step-by-step explanation:

Annually: 14.21 years

Quarterly: 13.95 years

Daily: 13.86 years

Continuously: 13.86 years

:)

Answer:

-1

Step-by-step explanation:

3x-6=7x-2

Collect the like terms

3x-7x=6-2

-4x = 4

x = -1

Answer:

[tex]x\approx 422.4[/tex]

Step-by-step explanation:

Assuming 'x'  the distance helicopter needs to fly to be directly over the tower.

It is given that a helicopter flying 3590 feet above ground spots the top of a 150-foot tall cell phone tower at an angle of depression of 83°.

From attachment that helicopter, tower and angle of depression forms a right triangle.

As height of tower is 150 feet, so the vertical distance between helicopter and tower will be: 3590-150=3440 feet.

Also, the side with length 3590-150 feet is opposite and side x is adjacent side to 83° angle.

As the tangent relates the opposite side of a right triangle to its adjacent  side, so we will use tangent to find the length of x.

[tex]\text{Tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

[tex]\text{Tan}(83^o)=\frac{3590-150}{x}\\[/tex]

[tex]\text{Tan}(83^o)=\frac{3440}{x}[/tex]

[tex]x=\frac{3440}{\text{Tan}(83^o)}[/tex]=>[tex]x=\frac{3440}{8.14434}[/tex]

[tex]x\approx 422.4[/tex]

Thus, the helicopter must fly approximately 422.4 feet to be directly over the tower.  

Answer:24

Step-by-step explanation:

Answer:

a=-b(x-1)

Step-by-step explanation:

Is it factored, but that question doesn't have too much helpful in it

Answer:

a=-b(x-1)

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

You have make y equals to 0 and solve each and every equation one by one :

Option A,

[tex] {x}^{2} + x - 6 = 0 \\ {x}^{2} + 3x - 2x - 6 = 0 \\ x(x + 3) - 2(x + 3) = 0 \\ (x - 2)(x + 3) = 0 \\ x = 2 \: or \: - 3[/tex]

Option B,

[tex] {x}^{2} - x - 6 = 0 \\ {x}^{2} - 3x + 2x - 6 = 0 \\ x(x - 3) + 2(x - 3) = 0 \\ (x + 2)(x - 3) = 0 \\ x = - 2 \: or \: 3[/tex]

Option C,

[tex] {x}^{2} - 5x - 6 = 0 \\ {x}^{2} + x - 6x - 6 = 0 \\ x(x + 1) - 6(x + 1) = 0 \\ (x - 6)(x + 1) = 0 \\ x = 6 \: or \: - 1[/tex]

Option D,

[tex] {x}^{2} + 5x - 6 = 0 \\ {x}^{2} - x + 6x - 6 = 0 \\ x(x - 1) + 6(x - 1) = 0 \\ (x + 6)(x - 1) = 0 \\ x = - 6 \: or \: 1[/tex]

Answer:

The percentage is 70%

Answer:

the answer is 70%

Step-by-step explanation:

Let's consider 42 as x% of 60.

x% of 60 = 42 (x% means x/100)

(x/100) * 60 = 42

60x/100 = 42

60x = 42 * 100 = 4200

x = 4200

Answer:

Probability tells you the likelihood of an event happening

Answer:

£352.80

Step-by-step explanation:

Divide the total number of catalogues by the per hours and hours.

15 per hour x 8 hours= 90 catalogues

360 catalogues ÷ 90 catalogues = 4 students.

Divide the total number of leaflets by the per hours and hours.

80 per hour x 8 hours= 640 leaflets

1440 leaflets ÷ 640 leaflets = 3 students

4 students + 3 students=7 students.

7 students x £51.30 per day = £352.80

The wage will be £352.80

Answer:

hi

Step-by-step explanation:

hi

Step-by-step explanation:

use substitution method so it will now look like

8x + 5(-4x) = 24

8x + (-20x) = 24

-12x = 24 (divide both sides by 12)

-x = 2 (multiply both sides by negative 1)

x = -2

substitute to find y

y= -4(-2)

=8

Answer:

[tex]x=-2\\y=8[/tex]

Step-by-step explanation:

[tex]8x+5y=24\\y=-4x[/tex]

We already have y in terms of, so the easiest way to do is by plugging that value in the first equation.

[tex]8x+5y=24\\8x+5(-4x)=24\\8x-20x=24\\-12x=24\\x=\frac{24}{-12} \\x=-2[/tex]

After having found the value of x, replace it in the second equation to find y.

[tex]y=-4(-2)\\y=8[/tex]

Answer:

Is a tangent

Step-by-step explanation:

* Great question by the way *

~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~

1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.

2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.

3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:

AB^2 + OA^2  =  BO^2,

15^2 + x^2 = 17^2,

x = 8

4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8

5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition AB is a tangent

Answer:

Step-by-step explanation:

The set up will form a right angled triangle. The distance that Laura let out her kite string will be the hypotenuse of the triangle, the angle that the kite makes with the ground will be the angle of elevation, facing the height of the kite.

The height of the kite H, will be the opposite side of the triangle since it is facing the angle directly.  based on the trig identity SOH;

sintheta = opposite/hyp

sin68° = H/60

H = 60sin68°

H = 55.6m

The height of the kite is 55.6m

Answer:

see below

Step-by-step explanation:

The age is not a proportional relationship because it does not go through the point (0,0)

The hours is a proportional relationship.  It goes through the point (0,) and has a constant slope

Answer:

3. NO

4. YES

Step-by-step explanation:

A proportional relation is of the form:

y = kx

Note that the y-intercept has to be 0, and slope should be constant

First one (Height against age) is not proportional because the intercept is 30, not 0

Second one (Time against distance) is proportional because the slope is constant and the y-intercept is 0

Answer:

q=−3x3+4x2−x

hope this helped :)

Step-by-step explanation:

Answer:

The eight people to march in a sportsmanship parade.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The slope of the green line is the negative reciprocal of that of the red line:

-1 / (-1/4), or just 4

Answer:

+4

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals of one another.

Here, with one slope being -1/4, the slope of a perpendicular line would be +4.

Answer:

Talia is not correct. The lateral area has three faces, so the expression should be 3 (one-half (8) (6.9)).

Step-by-step explanation:

A triangular prism has four triangles, three at the sides and one at the base.

A congruent shape has the same feature (side dimensions and angles), therefore all three sides of the prism, and the basal triangle have the same area (since they are congruent).

The area of the base will be One-half (8) (6.9), therefore each of the three sides too will have that same area.

Lateral area means only the areas of the sides excluding the base, therefore, the lateral area will be 3 (one-half (8) (6.9))

Answer:

Its D

Step-by-step explanation:

Answer:

Probability that 24 or more of those drivers were involved in accidents is 0.15625.

Step-by-step explanation:

We are given that an insurance agent research suggested that first year drivers had roughly an 13% chance of being involved in an automobile accident while driving.

The insurance agent provided insurance to 152 first year drivers last year.

Let [tex]\hat p[/tex] = sample proportion of drivers who were involved in accidents

The z score probability distribution for sample proportion is given by;

                           Z  =  [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex]  ~ N(0,1)

where, p = population proportion of first year drivers involved in an automobile accident while driving = 13%

           n = sample of first year drivers = 152

Now, probability that 24 or more of those drivers were involved in accidents is given by = P([tex]\hat p[/tex] [tex]\geq[/tex] [tex]\frac{24}{152}[/tex])

       P([tex]\hat p[/tex] [tex]\geq[/tex] 0.16) =  P( [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex] [tex]\geq[/tex] [tex]\frac{0.16-0.13}{\sqrt\frac{0.16(1-0.16)}{152} {} }[/tex] ) = P(Z [tex]\geq[/tex] 1.01) = 1 - P(Z < 1.01)

                                                                      = 1 - 0.84375 = 0.15625

The above probability is calculated by looking at the value of x = 1.01 in the z table which has an area of 0.84375.

Hence, the required probability is 0.15625.

Answer:

Luis because the sample is taken from the population of all seventh graders.

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

the first part of the question was unnecessary information its just 5% move the decimal two to the right to find the actual number

Answer:

In this problem, I can not tell what is V, so I will answer it in a general way.

A polynomial is something of the form:

a*x^5 + b*x^4 + c*x^3 + d*x^2 + e*x + f

a, b, c, d, e, and f are real numbers and constant.

Where the degree of the polynomial is equal to the greatest power (in this case 5).

You write:

4x^2 + 3Vx + 5

Now, if V is a real number, then we have that this is a polynomial of degree 2.

Because we can write this as:

4*x^2 + (3V)*x + 5

So the answer is true.

Now, if V is a variable or an operation, the answer will be false.

Answer:

100,000

Step-by-step explanation:

Answer:

D I and IV

Step-by-step explanation:

The opposite of an integer "x" is "-x".

I. The integer is 53.  →  Since the opposite of George's integer is -53, the integer is -(-53) = 53

II. The integer has an absolute value of - 53.  →  The absolute value of 53 is 53.

III. The integer is - 53.  →  It was 53, found in I.

IV. The integer has an absolute value of 53.  →  It has an absolute value of 53, found in II.

Answer:

$16.90

Step-by-step explanation:

First you need to find how much the markup is in dollars.

Multiply 13(0.3).

This will give you 3.9.

Then you add this to the original cost of the glasses.

13+3.9= 16.9.

So, the final cost of the glasses is $16.90.

Answer and Step-by-step explanation:

As we know that

[tex]Perimeter\ of\ rectangle = 2\times (length + breadth)[/tex]

Given that

The perimeter of a rectangle is  16  inches i.e length and breadth should be measured by that way in which the perimeter of rectangle comes 16 inches

We considered four way of measuring the perimeter

Length  Width  Perimeter

    1            7           16

    2            6          16

    3            5           16

    4            4           16

Simple it is as we multiply the 8 by 2 it gives 16 inches and the same is displayed above

So there are four combinations of 8 how it came.

Answer:

A

Step-by-step explanation:

Edgenuity

Answer:

384

Step-by-step explanation:

The formula for the volume is Area of Base * H / 3

The area of the base is 144

If you draw the height from the peak, you will get a right triangle with side length 6 and hypotenuse 10

Pythagorean Theorem, and the height is 8

144 * 8 / 3 = 384

Hope this helps.