two positive improper fractions are multiplied,,is the product sometimes,always,or never less than one?

Mathematics

1 answer:

Elis [28]3 years ago

8 0

Sometimes, eg:
9/2 × 4/3 = 6
1/2 × 1/5 = 1/10

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Angle is in standard position and (-6, 7) is a point on the terminal side of 0. Whatis the exact value of sin 8 in simplest form

elena-s [515]

You are asked to find

$\sin (\theta)=\sin (\theta-90^{\circ})$

The sin of an angle equals the opposite side divided by the hypotenuse, so the next drawing will help to find the answer:

$\sin (\theta)=\frac{7}{\sqrt[]{6^2+7^2}}=\frac{7}{\sqrt[\square]{85}}$

The hypotenuse is the square root of 6 to the square plus 7 to the square because of the Pythagorean theorem. In order to have a rational denominator:

$\frac{7}{\sqrt[]{85}}=\frac{7\cdot\sqrt[\square]{85}}{85}=\frac{7\cdot\sqrt[]{17}\cdot\sqrt[\square]{5}}{17\cdot5}$

Because

4 0

1 year ago

What is the missing justification?

frozen [14]

Answer:

Option A is correct.

The missing justification is: Transitive property

Step-by-step explanation:

Given: $\angle A \cong \angle B$ , $\angle C \cong \angle B$

Symmetric property of equality states the if for all real values of x , y

if x =y then, y =x.

Then, by symmetric property of equality:

we can write $\angle C \cong \angle B$ as

$\angle B \cong \angle C$

Transitive property of equality states that if we have the two things that are equal to each other and the second thing is equal to a third thing.

i.e, if a =b and b =c

then a =c

By transitive property of equality:

if $\angle A \cong \angle B$ and $\angle B \cong \angle C$

then;

$\angle A \cong \angle C$ ......[1]