All categories

3 years ago

Explain why 6^3x7^3=42^3 is correct.

2 answers:

5 0

Because 6 x 6 x 6 is 216 and 7 x 7 x 7 is 343 if you multiply those two umbers together you will get the same answer as 42 x 42 x 42 which is 74,088

Orlov [11]3 years ago

4 0

Answer:

${6}^{3} \times {7}^{3} = {(6 \times 7)}^{3} = {42}^{3}$

Step-by-step explanation:

When two or more quantities have the same exponents, their bases can be multiplied together.

You might be interested in

A solid with volume 8 cubic units is dilated by a scale factor of k to obtain a solid with volume V cubic units. Find the value

Katena32 [7]

Answer:

a. k = 27

b. k = 216

c. k = 0.216

Step-by-step explanation:

The value of the scale factor can be given by the following formula:

$k = \frac{Final\ Volume}{Initial\ Volume}$

where,

Initial Volume = 8 cubic units

Final Volume = 216 cubic units

Therefore,

$k = \frac{216\ cubic\ units}{8\ cubic\ units}$

k = 27

Final Volume = 1 cubic units

Therefore,

$k = \frac{216\ cubic\ units}{1\ cubic\ units}$

k = 216

Final Volume = 1000 cubic units

Therefore,

$k = \frac{216\ cubic\ units}{1000\ cubic\ units}$

k = 0.216

8 0

2 years ago

(12y 2+17y-4)+(9y-13y+3)

IrinaVladis [17]

Answer:

4y+3

Step-by-step explanation:

8 0

2 years ago

Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of possible

Anna71 [15]

Answer:

558

Step-by-step explanation:

I can't say :>

3 0

3 years ago

Each point on the coordinate plane has an address called

RideAnS [48]

I do not understand what to do , more explicitly sorry :(

8 0

2 years ago

Find the area of the regular pentagon. 4.1 cm 6 cm Area = [?] cm? Enter your answer to the nearest tenth.

Assoli18 [71]

Answer:

Area of the given regular pentagon is 61.5 cm².

Step-by-step explanation:

Area of a regular polygon is given by,

Area = $\frac{1}{2}aP$

Here, a = Apothem of the polygon

P = Perimeter of the polygon

Apothem of the regular pentagon given as 4.1 cm.

Side of the pentagon = 6 cm

Perimeter of the pentagon = 5(6)

= 30 cm

Substituting these values in the formula,

Area = $\frac{1}{2}(4.1)(30)$

= 61.5 cm²

Therefore, area of the given regular pentagon is 61.5 cm².

8 0

2 years ago