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bagirrra123 [75]
2 years ago
15

Write an expression to represent how much shorter the base is compared to the side: 4x + b is the base and ax + 9 is the side, i

t's a triangle btw
Mathematics
1 answer:
katen-ka-za [31]2 years ago
7 0

Answer:

The required expression would be (a-4)x + (9-b)

Step-by-step explanation:

Given,

In the triangle,

Base = 4x + b,

Side = ax + 9

Since, Side - base = (ax + 9) - (4x + b)

=ax + 9 - 4x - b

=ax - 4x + 9 - b

=(a-4)x + (9-b)

That is,

The base is (a-4)x + (9-b) shorter compared to the side.

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Rina8888 [55]

Answer: The last answer is correct

Step-by-step explanation:

BAC and BCA are the same because A=70 degrees B=70 degrees.

if the top looks exactly like the bottom or vise versa, its the same degree.  

7 0
3 years ago
A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If the
notsponge [240]

Answer:

<u>The area of the rectangular field is 20,000 square meters.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of times a person jogged along the rectangular field = 10

Speed of the person jogging = 12 km per hour

Time he/she jogged = 30 minutes = 0.5 hours

Length of the field = twice its width

2. Find the area of the field in square meters.

Step A: Let's calculate the distance the person jogged

Let's recall the formula of the speed:

Speed = Distance/Time

Distance = Speed * Time

Replacing with the values we know:

Distance = 12 * 0.5

<u>Distance = 6 kilometers</u>

Step B: Let's calculate the perimeter of the rectangular field

Distance jogged = ¨Perimeter * 10

6 kilometers = Perimeter * 10

Perimeter = 6/10

<u>Perimeter = 0.6 kilometers = 0.6 * 1,000 = 600 meters</u>

Perimeter = 2 * Length + 2 * Width

x = Width of the rectangular field

2x = Length of the rectangular field

600 = 2 * 2x + 2 * x

600 = 4x + 2x

600 = 6x

<u>x = 600/6 = 100 meters ⇒ 2x = 200 meters</u>

Step C: Let's calculate the area of the rectangular field

Let's recall the formula of the area of a rectangle:

A = Length * Width

A = 200 * 100

<u>A = 20,000 m² (square meters)</u>

7 0
3 years ago
Gary is testing a river water sample in his lab. Initially, there are 64 bacteria in the river water sample. The number of bacte
rusak2 [61]
<h2>Hello!</h2>

The answers are:

- The quantity that represents the initial number of bacteria is <u>64.</u>

- The quantity that represents the rate at which the number of bacteria is increasing is (1+0.12) or <u>1.12</u> which means the growth rate percentage for the bacteria is 0.12 or (0.12*100), it will be <u>12%.</u>

<h2>Why?</h2>

To solve the problem, and complete the statements, we need to remember the form of the exponential growth.

The exponential growth formula is given by the following formula:

P(t)=StartAmount(1+PercentageRate)^{t}

Where,

Start Amount, is the starting population or amount.

(1+Percentage Rate), is the increasing rate

Percentage Rate, is the growth rate percentage.

t, is the time elapsed.

Now, we are given the following expression:

P(3)=64(1.12)^{3}

Which can be rewrited as:

P(3)=64(1+0.12)^{3}

So, we have that:

- The quantity that represents the initial number of bacteria is 64.

- The quantity that represents the rate at which the number of bacteria is increasing is (1+0.12) or 1.12 which means the growth rate percentage for the bacteria is 0.12 or (0.12*100), it will be 12%.

Have a nice day!

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Solnce55 [7]

Answer:


Step-by-step explanation:

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