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3 years ago

Please help me with this real quick

Mathematics

1 answer:

tia_tia [17]3 years ago

6 0

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

8 |\ x

|_\ it's not a good triangle but you get the point

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

10=x

BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5

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What’s an inverse operation?

yulyashka [42]

The opposite of a equation. Such as addition will be subtraction

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2 years ago

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Vika [28.1K]

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3 years ago

Habib wants to cover a kitchen wall in ceramic tile. The wall is 42 feet by 10 feet.

Slav-nsk [51]

Answer: Side of largest square tile will be 105 feet.

Explanation:

Since we have given that

dimensions of the wall is 42 feet by 10 feet

So,

Length of wall = 42 feet

Breadth of wall = 10 feet

First we calculate the H.C.F. of 42 and 10,

which is 2 only.

The largest square tile side would be 2 feet.

Now, we find the number of tiles used,

Number of tiles =

$\frac{\text{Area of wall}}{\text{H.C.F. of }42\text{ and }11\times\text{ H.C.F. of }42\text{ and } 11}}\\\\=\frac{42\times 10}{2\times 2}\\\\=\frac{420}{4}\\\\=105$

We get integer value of number of tiles.

Therefore, Side of largest square tile will be 2 feet.

7 0

2 years ago

Convert 5 square root of a into exponential form?

stich3 [128]

Answer:

The answer is: " $5a^\frac{1}{2}$ " .

_____________________________________________

Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a" ; into "exponential form".

Note that "5 square root of a" ;

or; " 5 root a " ;

means: " 5 times the {square root of the variable, "a" };

or : " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as: " $5\sqrt{a}$ " .

_______________________________________________

Note the following property of exponents:

$\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n$ .

_____________________________________________

So; to write: " √a " ; as an exponent :

______________________________________________

Note:

" $\sqrt{a} = \sqrt[2]{a} = \sqrt[2]{a^1} = (\sqrt[2]{a})^1 = a^\frac{1}{2}$ " .

_______________________________________________

So:

" $\sqrt{a} = a^\frac{1}{2}$ " ;

_______________________________________________

And:

________________________________________________

" $5\sqrt{a} = 5a^\frac{1}{2}$ " .

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→ The answer is: " $5a^\frac{1}{2}$ " .

________________________________________________

Hope this helps!

Best wishes in your academic endeavors

— and within the "Brainly" community!

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6 0

3 years ago

If x is a rational number and y is the opposite of x, why do x and y have the same absolute value

grin007 [14]

Answer:

Absolute value is the distance away from zero, so if x is a rational number and y is opposite, they would both be the same distance away from zero, regardless of their sign.

Step-by-step explanation:

Absolute value is the distance of a number away from zero. For example, if x is equal to the rational number -2, the absolute value of -2 is just 2, given that both 2 and -2 are only a distance of 2 away from the number zero. Think of it as your walk or drive to school. If you live 4 miles from school, you drive a distance of 4 miles there and 4 miles back. That distance is not calculated as a positive 4 miles there and a negative 4 miles back, but rather just 4 miles there and 4 miles back, for a total distance of 8 miles. So, if x=4 and y=(-4), the absolute value of both would be 4.

8 0

3 years ago