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2 years ago

Write using exponents. Rewrite the expression below in the same sequence.

Mathematics

1 answer:

Maksim231197 [3]2 years ago

8 0

Answer:

$10^2a^2b$

Step-by-step explanation:

Exponents are a way of shortening multiplication statements. The exponent represents how many times a term is being multiplied by itself. So, when two terms have the same base it can be written with exponents. For example. 10*10 can be written as $10^2$ because 10 is being multiplied 2 times. Therefore, if we do this with every term you get $10^2a^2b$ .

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ANSWER FAST ITS URGENT

Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

${x}^{2} = {2}^{2} + {6}^{2}$

${x}^{2} = 4 + 36$

${x}^{2} = 40$

$x = \sqrt{40}$

$x = 6.3$

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

$n = 6 \sqrt{2}$

The hypotenuse can be found using Pythagoras Theorem.

${m}^{2} = {(6 \sqrt{2} )}^{2} + {(6 \sqrt{2} )}^{2}$

${m}^{2} = 36(4)$

$m = \sqrt{36 \times 4} = 6 \times 2 = 12$

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

$n = \frac{1}{2} (12) = 6$

and

$m = 6 \sqrt{3}$

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

${x}^{2} + {115}^{2} = {350}^{2}$

${x}^{2} = {350}^{2} - {115}^{2}$

${x}^{2} = 109275$

$x = \sqrt{109275} = 330.6 ft$

3 0

3 years ago

Please please please please

Mariulka [41]

The numbers given are length-15 width-10 and height-2

perimeter: 50 feet (15 + 10 + 15 + 10)
area: 150 feet (15 × 10)
volume: 300 feet (15 × 10 × 2)

7 0

3 years ago

Improper fracations

NemiM [27]

Answer:

64+77=141

Step-by-step explanation:

The whole number times the denominator plus the numerator. Then, add and do the same thing again with the other number and you get 64 and 77 then add and you get 141

5 0

3 years ago

Predict the next three numbers in the pattern 10,7,4,1

Anettt [7]

-2, -5, -8. The pattern shows that the numbers decrease by 3.

6 0

3 years ago

Read 2 more answers

Please help out explanation need it

prisoha [69]

Answer:

A=2(wl+hl+hw)

A=2(6ft×7ft+6ft×7ft+6ft×6ft)

A=2(42ft²+42ft²+36ft²)

A=2(120ft²)

A=240ft²

Step-by-step explanation:

8 0

3 years ago