10. Find the total surface area of the triangular prism
shown below.

Answer:

8.236%

Step-by-step explanation:

P(G,G,G) = 8/17 x 7/16 x 6/15

= 7/85 (simplified)

7/85, in decimal form, is .082352

.082352 in percent form is 8.236%

Answer:

True ☑

Step-by-step explanation:

[tex] - 3 \times - 7 \\ = {}^{ + } 21[/tex]

Answer:

that as a fraction is 3 and 201 over 500

Answer:

3 402/1000 = 3 201/500 simplified or 1701/500 as an improper fraction

Step-by-step explanation:

Answer:

thats about like ummm 69?

Step-by-step explanation:

Answer:

ITS C IT IS C!!!!!!!

Answer:

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

Step-by-step explanation:

Use the point-slope form:  [tex]y - y_{1} = m(x - x_{1})[/tex]

[tex](x_{1}, y_{1})[/tex] = (-4, 2)

y - 2 = -5/4(x + 4)       Multiply by 4 to remove the fraction

4y - 8 = -5(x + 4)

4y - 8 = -5x - 20

4y = -5x - 12

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

Answer:

24-6-9-2-3+2+2-3 = 5

Step-by-step explanation:

I hope this helps!

Answer:

BE = 22.4 cm

Step-by-step explanation:

Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is

[tex]\frac{CB}{CE}[/tex] = [tex]\frac{AB}{DE}[/tex] , substitute values

[tex]\frac{6.4}{CE}[/tex] = [tex]\frac{8}{20}[/tex] ( cross- multiply )

8 CE = 128 ( divide both sides by 8 )

CE = 16 cm

Then

BE = BC + CE = 6.4 + 16 = 22.4 cm

Answer:

1/6

Step-by-step explanation:

[tex]2/3 \text{ of } 1/4 = (2/3)*(1/4) = 2/12 = 1/6[/tex]

Answer:

1/6

Step-by-step explanation:

(2/3)(1/4)=2/12=1/6

Answer:

B) 24

Step-by-step explanation:

The area of the rectangle is 48 units (8 x 6).

The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.

b = base

h = height

A = [tex]\frac{1}{2}[/tex](6)(8)

A = 24

Answer:

[tex]24[/tex]

Step-by-step explanation:

If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.

Answer:

A

Step-by-step explanation:

∠4 and ∠8 are corresponding angles

corresponding angles are congruent ( equal to each other )

so if ∠4 = 100° then ∠8 also equals 100°

Answer:

A

Step-by-step explanation:

8 is equal to 4(100) because it is corresponding angle, corresponding angle are equal to each other...If 4 is 100 then 8 will be 100

Answer:

Third zero is 4

Step-by-step explanation:

The polynomial is;

f(x) = x³ − 4x² − 3x + 12

We are given 2 zeros which are √3 and -√3.

This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.

Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.

I have attached this long division method and we have the third factor as; (x - 4)

Equating to zero, we have x = 4 as the third zero of the polynomial

Answer:

Step-by-step explanation:

There are no pics

Answer:

its A

Step-by-step explanation:

it is a because its -9 down and 7 to the right

Answer:

[tex]a + c = 180 - 65 = 115[/tex]

Answer:

I think I just posted that last time. Check my timeline

Answer:

10 guests

Step-by-step explanation:

Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.

Let us represent additional guests = g

Lazer Zone charges $50 for parties, and an additional $10 per guest.

=$50 + $10 × g

50 + 10g

For fun place

Fun Palace charges $90 for parties, and an additional $6 per guest.

= $90 + $6 × g

90 + 6g

For how many ?

We equate both Equations together

= 50 + 10g = 90 + 6g

Collect like terms

10g - 6g = 90 - 50

4g = 40

g = 40/4

g = 10

Hence, g = 10 guests

Therefore, the number of guests for which the cost of both companies is the same is 10 guests

Answer:

Step-by-step explanation:

The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.

The volume of a prism is the total space occupied by it.

The density of a prism is the mass occupied by the 1 cubic unit volume of the prism. The formula for the density of a prism is:

Density = Mass/Volume

In the question, we are given a triangular prism of height 6cm, width 4cm, and length 10cm. Its density is given as 0.8 g/cm³.

We first find the volume of the prism.

The volume = Area of triangle*length = ((1/2)*6*4)*10 cm³ = 120 cm³.

Let the mass of the prism be m grams.

We know the density of the prism is given by the formula,

Density = Mass/Volume

or, 0.8 = m/120

or, m = 120*0.8

or, m = 96

∴ The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.

Learn more about density at

https://brainly.com/question/1354972

#SPJ2

Answer:

(.4x+7)(.4x-7)

Step-by-step explanation:

Answer:

If we were to use 3.14 as pi . . .

43.96/3.14 = 14

14/2 = 7

7 x 7 = 49

49 x 3.14 = 153.86

153.86 would be the correct answer

But if we were to use pi. . .

615.1279985 would be the answer.

Answer:154 rounded to whole number

Step-by-step explanation:

C=pi ×d

43.96 = 3.14 ×d

d= 43.96÷3.14

d= 14

So radius is 7 (half of diameter)

Area=3.14×7×7

=153.86

Answer:

The total number of child ticket sold  = 87

The total number of adult ticket sold = 128

Step-by-step explanation:

Given -  The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.

To find - Use an inverse matrix to determine the number of each type of ticket sold .

Proof -

Let the total number of child ticket sold = x

Let the total number of adult ticket sold = y

Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.

⇒x + y = 215

Also,

Given that,  Tickets cost $11 child and $15 per adult, bringing in a total of $2877

⇒11x + 15y = 2877

So,

The equations becomes

x + y = 215

11x + 15y = 2877

So,

The matrix form becomes

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]

By comparing, we get

x = 87

y = 128

So, we get

The total number of child ticket sold = x = 87

The total number of adult ticket sold = y = 128

Answer:

46°

Step-by-step explanation:

tan Ф = 21/20

Ф = tan-1 (21/20)

= 46°

Answer:

B

Step-by-step explanation:

Have a good day :)

Answer: I think D.

Step-by-step explanation:

Answer:

I believe it is 7/20

Step-by-step explanation: