which of the following is equal to the rational expression?

Answer:

[tex]V=192\ in^3[/tex]

Step-by-step explanation:

Given that,

The area of base, A = 24 in²

The height of the pyramid, h = 8 in

We need to find the volume of the following figure.

The volume of pyramid is given by :

[tex]V=A\times h[/tex]

Substitute all the values,

[tex]V=24\times 8\\\\=192\ in^3[/tex]

So, the volume of the pyramid is equal to [tex]192\ in^3[/tex].

Answer:

Step-by-step explanation:

Did you ever find the answer?/ I also am confused. please let me know

Answers

D 36

Step-by-step explanation:

77 is the area for the squared trapezoid and 36 is the closest to 77

Answer:

radius=2.62cm

hope it helps.

Answer:

2.89

Step-by-step explanation:

4.08-1.19 = 2.89

you just do simple subtraction

Answer:

A. 2.89 pounds

Step-by-step explanation:

4.08 pounds of apples all together subtract the Gala apples 1.19 pounds and you'll get that Jake bought 2.89 pounds of Cameo apples.

4.08 - 1.19 = 2.89

Answer:

0.9851 = 98.51% probability that the person is actually infected.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Infected

Probability of a positive test:

99% of 25%(People have the disease).

0.5% of 100 - 25 = 75%(People do not have the disease). So

[tex]P(A) = 0.99*0.25 + 0.005*0.75 = 0.25125[/tex]

Probability of a positive test and being infected:

99% of 25%, so:

[tex]P(A \cap B) = 0.99*0.25 = 0.2475[/tex]

What is the probability that the person is actually infected?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2475}{0.25125} = 0.9851[/tex]

0.9851 = 98.51% probability that the person is actually infected.

Answer:

12r ft

Step-by-step explanation:

you're welcome have a nice day

Answer:

Width of rectangle = 4 ft

Step-by-step explanation:

Given:

Area of rectangle = 48 ft²

Length of rectangle = 3[Width of rectangle]

Find:

Width of rectangle

Computation:

Assume;

Width of rectangle = a

So,

Length of rectangle = 3[Width of rectangle]

Length of rectangle = 3a

Area of rectangle = l x b

48 = 3a x a

3a² = 48

a² = 16

a = 4

Width of rectangle = 4 ft

Length of rectangle = 3[Width of rectangle]

Length of rectangle = 3[4]

Length of rectangle = 12 ft

Answer:

A = 6940 m²

Step-by-step explanation:

We are told that there is a clover leaf intersection.

I have attached a picture of it with the 4 circles showing.

We are told the diameter of each circle is the same and equal to 47 m.

Thus, radius = 47/2 = 23.5 m

We want to find the area of grass that will cover the 4 circles. Thus;

Formula for area of a circle is;

A = πr²

For the 4 circles, we have;

A = 4πr² = 4 × π × 23.5²

A = 6939.78 m²

Approximately A = 6940 m²

Step-by-step explanation:

sorry I don't know the answer I want some points so because I do this I really really sorry. and thanks for point

Answer:

I think the answer should be D) 23 km but if its wrong my bad

Step-by-step explanation:

Answer:

35

Each sequence has a difference of eight numbers so we add 8 numbers in each sequence

Answer:

a) (i) 36

(ii) previous+8

b) 75

Step-by-step explanation:

a) (i) 27+8=36

(ii) previous+8

b) 10 th term is 3+9×8= 75

Complete question :

Compute the probability of each of the following events.

Event : The sum is greater than 6

Event : The sum is not divisible by 2

Answer:

7/12 ; 1/2

Step-by-step explanation:

Sample space :

2, 3, 4, 5, 6, 7

3, 4, 5, 6, 7, 8

4, 5, 6, 7, 8, 9

5, 6, 7, 8, 9, 10

6, 7, 8, 9, 10, 11

7, 8, 9, 10, 11, 12

Probability that sum is greater than 6:

Number of outcomes greater Than 6 = required outcomes = (7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12) = 21

Total sample space = total possible outcomes = 36

Probability = required outcome / Total possible outcomes

P(sum is greater Than 6) = 21 / 36

2.)

Obtaining an even number :

Sum not divisible by 2 = required outcomes = (3, 5, 7, 3, 5, 7, 5, 7, 9, 5, 7, 9, 7, 9, 11, 7, 9, 11) = 18

Total sample space = total possible outcomes = 36

P(sum is not divisible by 2) = 18 / 36 = 1 / 2

Answer:

-3ab, -9x^2 -13x

Step-by-step explanation:

45a^4b^3 - 90a^3b/ 15a^2b

-45ab^2/15a^2b

-3ab

13) (x-7x^2) - (2x^2+14x)

-9x^2 -13x

Answer:

31.25 is the answer at your question

Answer:

Find five rational numbers between 2/3 and 4/5 -

61/90 62/90 63/90 64/90 65/90 66/90 67/90

choose any five :)

Answer:

the length of the opposite side (x), is 27.2

Step-by-step explanation:

For the given right triangle problem;

the opposite side of the given angle, opp. = 22

the hypothenuse side,  hypo. = x

given angle of the triangle, θ = 54⁰

The length of the opposite side (x), is calculated as follows;

[tex]sin \ \theta = \frac{opp.}{hypo.} \\\\sin (54) = \frac{22}{x} \\\\x = \frac{22}{sin(54)} \\\\x = 27.2[/tex]

Therefore, the length of the opposite side (x), is 27.2

Answer:

ooo

Step-by-step explanation:

Answer:

B) 48cm²

Step-by-step explanation:

find the area of the 2 rectangles

A = bh

A = 9×4

A = 36

A = bh

A = 6×2

A = 12

add them up you get 48cm²

Answer:

For 35 its C

Step-by-step explanation:

Answer:

Angle YXU is equal to 113 degrees. those are supplementary angles

Step-by-step explanation:

Answer:

23x-8

Step-by-step explanation:

8x + 15x = 23x

4 + (-12) = -8

Answer:

[tex] \boxed{23x \: – \: 8} [/tex]

Step-by-step explanation:

(8x + 4) added to (15x – 12) =

(8x + 4) + (15x – 12) =

[Group like terms]

(8x + 15x) + (4 – 12) =

[Simplify]

23x – 8