Find the total surface area of the
following prism:
5 cm
5 cm
-apothem = 3.44 cm
5 cm
5 cm
10 cm
5 cm
SA = [?] cm2

Answer:

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.

[my response: talk to them in formal language about the topic.]

Step-by-step explanation:

C. complementary angles

Step-by-step explanation:

two angles are called complementary when their measures add to 90 degrees

Answer:

See explanation

Step-by-step explanation:

The coordinate of ABCD is not given; So, I will solve using general coordinates (x,y).

First, ABCD is dilated by 1/3.

The rule is:

[tex](x,y) \to \frac{1}{3}(x,y)[/tex]

This gives

[tex](x,y) \to (\frac{x}{3},\frac{y}{3})[/tex]

Next, it is reflected across y-axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex](\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]

So, the complete transformation is:

[tex](x,y) \to (\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]

Assume that:

[tex]A = (1,3)[/tex]

The transformation will be:

[tex]A' = (-\frac{1}{3},\frac{3}{3})[/tex]

[tex]A' = (-\frac{1}{3},1)[/tex]

Step-by-step explanation:

An=-6+(20-1)×2

=-6+19(2)

=-6+38

=32

Answer:

yes both chances are 1/2 = equal

Step-by-step explanation:

Answer:

a) yes

b) y = -x

c) yes it goes thru the origin (0,0)

Step-by-step explanation:

a) x**2 + y**2 = 17

(-4)**2 + (-1)**2 = 17

16 + 1 = 17 YES

b) the slope of DE is

(y1 - y2)/(x1 - x2)

(-1 -4)/(-4 -1) = -5/-5 = 1,  so a perpendicular segment will have a

slope of - 1/current slope or -1.

The midpoint of DE is

x = (x1 + x2)/2 = (-4 +1)/2 = -3/2

y = (y1 + y2)/2 = (-1 +4)/2 = 3/2 so

y = mx + b

y = -x + b plug in the point (-3/2,3/2)

3/2 = -(-3/2) + b

b = 0 SO y = -x

c) The circle equation dictates that it has no offset so centers around the origin (0,0) and the equation of the bisector y = -x indeed fits (0,0).

Answer:

[tex]{ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ 36\pi = \frac{4}{3} \pi \times {(2d)}^{3} \\ \frac{36 \times 3}{4} = 8 {d}^{3} \\ 27 = 8 {d}^{3} \\ {d}^{3} = \frac{27}{8} \\ diameter = 1.5 \: units[/tex]

Answer:

y = 5x-11

Step-by-step explanation:

The slope intercept form of a line is y =mx+b where m is the slope

y = -1/5 x-3

The slope is -1/5

Lines that are perpendicular have negative reciprocal slopes

-1 /(-1/5)

-1 * -5/1

5

The slope of the line that is perpendicular is 5

y=5x+b

Using the point (4,9)

9 = 5(4)+b

9 = 20+b

9-20 =b

-11

y = 5x-11

Answer:

Following are solutions to the given question:

Step-by-step explanation:

First-test probability: [tex]\frac{3}{4}[/tex]

A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]

However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.

[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]

One of the other.

Answer:

-x^2-10x-26

Step-by-step explanation:

f(x) = -x^2 – 1, and

g(x) = x + 5

f(g(x)) = Plug g(x) in for x in f(x)

        = -(x+5)^2 -1

        = -(x^2 +10x+25) -1

         = -x^2 -10x-25 -1

         =-x^2-10x-26

Step-by-step explanation:

75 is divisible by both 15 and 25

Answer:

379

Step-by-step explanation:

4(-9)²+73-18

4(81)+55

324+55

379

Answer:

-x^2 +4

Step-by-step explanation:

f(x) = -x^2 – 1, and

g(x) = x + 5,

g(f(x)) = Plug f(x) in for x in g(x)

          =-x^2-1 +5

          =-x^2 +4

Answer:

x^²-x+6

Step-by-step explanation:

Just add

Answer:

Exact Form:

235235

Decimal Form:

4.64.6

Mixed Number Form:

4 3/5

Answer:

5649

Step-by-step explanation:

4^3=64

64^5=5649

Answer:

Hello my friend... The answer is 233/100

Step-by-step explanation:

I hope this helps my friend(つ✧ω✧)つ

Answer:

2 33/100 or 233/100

Step-by-step explanation:

divide 2.33 by 100 and you'll get an improper fraction of 233/100. Just turn it into a mixed fraction if that is what the question states (2 33/100)

Answer:

Option 1: Double the radius

Step-by-step explanation:

The formula for the volume of a cone is:

1/3[tex]\pi[/tex]r^2h

It squares the radius whereas it only multiplies by the height. Let's try both situations.

1. 1/3[tex]\pi[/tex](2)^2(1) --> 4/3

2. 1/3[tex]\pi[/tex](1)^2(2) --> 2/3

Option one is better.

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Next, we shall obtained the value of x from x + 2. This can be obtained as follow:

x + 2 = 0

Collect like terms

x = 0 – 2

Finally, we shall determine the the value of k. This can be obtained as  illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

f(–2) = 0 since x + 2 is a factor

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

Therefore, the value of k is –10

Learn more: https://brainly.com/question/13587979

Answer:

its easy dont worry

Step-by-step explanation:

Answer:

The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is approximately 125.66 square units

Step-by-step explanation:

The given parameters are;

The radius of the circle with center G, r = 15

The measure of the given angle, m∠AGB = 64°

The area of a sector is given as follows;

Area of a sector of a circle = (θ/360°) × π × r²

Therefore;

The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is given as follows;

The area of the sector in circle G  = (64°/360°) × π × 15² ≈ 125.66 square units

It is hard to find out question cn u pls take a pic and upload so it will more easier to find out the question

Answer:

7/10

Step-by-step explanation:

½ of a cup of cheddar=½ x 1=½

⅕ of a cup of parmesan=⅕ x 1=⅕

all cheese used=½ + ⅕= 7/10

Answer:

The domain of the function is (-2,&)

Answer:

A number s plus 21

Step-by-step explanation:

s+21

A number s plus 21

Answer:

18 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 5 + (6+1)) * 3

A = 1/2 ( 5+7)*3

    = 1/2 (12)3

     = 18

Answer:

B

Step-by-step explanation:

greater base = 6 + 1 = 7 m

Area = [(greater base + minor base) * height] / 2 = [(7+5) * 3]/2 =18 m^2

Answer:

n = 70

Step-by-step explanation:

14 * x < 80

x = 6 won't work

14 * 6 = 84 which beyond the boundry.

14 * 5 = 70 which is less than 80 and is divisible by 14

14 * 3 = 42

70 does not have a 3 in it.

So the largest number that has 14 in it and is less than 80 is 70

Answer:

AD=27

Step-by-step explanation:

Answer:

See explanation

Question has been corrected

Step-by-step explanation:

Given:

3x² + 11x + 30

To factorise, multiply the coefficient of x² by 30

= 3 * 30

= 90

Find two numbers that have a product of 90 and a sum of 11

** There are no such two numbers, therefore the question can't be solved using factorization

Correcting the error in the question:

x² + 11x + 30

To factorise, multiply the coefficient of x² by 30

= 1 * 30

= 30

Find two numbers that have a product of 30 and a sum of 11

6 and 5

6 + 5 = 11

6 * 5 = 30

x² + 11x + 30

= x² + 6x + 5x + 30

= x(x + 6) + 5(x + 6)

= (x + 6) (x + 5)