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2 years ago

7.97 as a mixed fraction and a improper fraction

Mathematics

1 answer:

4vir4ik [10]2 years ago

6 0

Answer:

7 97/100

797/100

Step-by-step explanation:

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Write and equivalent expression to the expression below (17x93) (17x97)

mart [117]

(17 * 93) ^ 2 = 1581

6 0

3 years ago

Read 2 more answers

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Novay_Z [31]

Answer: $3+\sqrt{2}$

Step-by-step explanation:

Given the following expression shown in the picture:

$\frac{7}{3-\sqrt{2} }$

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

Step 2. Then you must apply the Distributive property in the numerator.

Step 3. You must apply the following property in the denominator: $(a+b)(a-b) = a^2 - b^2$

Therefore, applying the procedure shown above, you get:

$=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}$

Step 4. You can observe that the expression can be simplified even more. Since:

$\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$

You get:

$\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}$

3 0

2 years ago

The measure of the exterior angle of the triangle is what degree?

RSB [31]

Answer:

92°

Step-by-step explanation:

By exterior angle theorem:

$(2x - 2) \degree = x \degree + 45 \degree \\ \\ (2x - 2 - x) \degree = 45 \degree \\ \\ (x - 2) \degree = 45 \degree \\ \\ (x - 2) = 45 \\ \\ x = 45 + 2 \\ \\ x = 47 \\ \\ (2x - 2) \degree = (2 \times 47 - 2)\degree \\ \\ (2x - 2) \degree = (94 - 2)\degree \\ \\ (2x - 2) \degree = 92\degree \\ \\ measure \: of \: the \: exterior \: angle \\ = 92 \degree$

4 0

2 years ago

I NEED HELP PLEASE !!!!

Amiraneli [1.4K]

Answer:

NEVER INTERSECT

Hope this Helps

7 0

2 years ago

The diagonal of a rectangle is 25 inch. the width is 15 in. what is the area of the rectangle?

givi [52]

D= diagonal= 25 in
w= 15 in

A= w√(d^2﹣w^2)

A= (15)√(25^2 - 15^2)
square in parentheses

A= (15)√(625 - 225)
subtract in parentheses

A= (15)√(400)
take square root of 400

A= (15)(20)

A= 300 in^2

ANSWER: The area is 300 inches squared

Hope this helps! :)

6 0

3 years ago