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3 years ago

Is 8(a+b) and (6a+3b)+2b equivalent

Mathematics

1 answer:

miv72 [106K]3 years ago

5 0

Answer:

Step-by-step explanation:

8a+8b are not equivalent 6a+5b

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Find the area. 5cm 3cm 4 cm

Ostrovityanka [42]

Answer:

6 cm²

Step-by-step explanation:

Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

$\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}$

⇒ s = Perimeter/2

⇒ a, b, and c = side lenths of triangle

Replacing a, b, and c as the given side lengths:

$\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}$

Determining the perimeter of the triangle:

$\text{Perimeter of triangle = Sum of it's side lengths}$

$\implies \text{Perimeter of triangle =}\ 5 + 4 + 3$

$\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}$

Determining the half of perimeter:

$\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}$

$\implies s = \dfrac{12}{2}$

$\implies s = 6$

Replacing the value of "s" in the formula:

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

Evaluating the area:

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(6)}$

$\implies \text{Area of triangle} = 6 \ \text{cm}^{2}$

6 0

2 years ago

An ant population starts at 1200 for a certain colony. As each month goes by in the winter, 6.5% of the population dies off. How

Nitella [24]

Answer:

There will be 916 ants alive after 4 months.

Step-by-step explanation:

Step 1

Let's change the percentage to a decimal by dividing by a 100.

6.5% / 100 = .065

Step 2

So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.

1200 * .065 = 78

This means that after the first month, 1200 - 78 = 1122 ants will be alive.

Step 3

Now for the second month: 1122 * .065 = 72.93 (rounded to 73)

1122 - 73 = 1049 ants will be alive

Step 4

For the third month 1049 * .065 = 68.185 (rounded to 68)

1049 - 68 = 981 ants will be alive

Step 5

For the fourth month 981 * .065 = 63.765 (rounded to 64)

981 - 64 = 916 ants will be alive

Hope this helps!

5 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!!!

Fynjy0 [20]

Answer:

It is not valid since there is more than one variable being changed at one.

Step-by-step explanation:

Jackson changed the brand of soil, but he also changes the amount of water, and the amount of sunlight the plants are receiving, so his conclusion that the soil was more effective is not valid.

6 0

3 years ago

Pls I need the answer for 3 and 4 and it’s very hard

Elodia [21]

#4 is 47, 48, 49

47+48+49=144

4 0

3 years ago

Factor x2 + 29x - 30.

marysya [2.9K]

Ok the w to your question is to cross multiply 216=9m m=24

8 0

3 years ago

Read 2 more answers