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3 years ago

Why is the greatest common factor one?

Mathematics

1 answer:

lubasha [3.4K]3 years ago

8 0

because one times every number is the same

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3) A regulation basketball has a diameter of 9.4 inches. What is the volume of the ball?

Marrrta [24]

Answer:

Volume = 434.89276543154 inch³

Step-by-step explanation:

volume = 4/3πr³

where r is the radius

r = 9.4/2

r = 4.7³

Volume = 4/3×π×4.73³

Volume = 434.89276543154 inch³

7 0

3 years ago

Why the following triangles are congruent!

noname [10]

Answer:

They have equal ticks and angles. They are congruent because they are equal in all sides and angles.

Step-by-step explanation:

4 0

3 years ago

A right triangle has leg lengths of 9 units and 12 units. Write an equation that can be

LenKa [72]

<h2>The Pythagorean Theorem</h2>

The Pythagorean Theorem: $a^2+b^2=c^2$

<em>a</em> and <em>b</em> are the two legs in a right triangle
<em>c</em> is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
<em>*keep in mind that this theorem applies only to right triangles</em>

<h2>Solving the Question</h2>

We're given:

Legs = 9 units and 12 units
Hypotenuse = <em>c</em>

<em />

Plug these measurements into the Pythagorean theorem:

$a^2+b^2=c^2\\9^2+12^2=c^2$

⇒ Combine like terms:

$81+144=c^2\\c^2=225$

<h2>Answer</h2>

$c^2=225$

4 0

2 years ago

Which expression represents a factorization of 32m + 56m

luda_lava [24]

Answer:

8m(4+7p)

Step-by-step explanation:

32m = 4*8*m

56 mp = 7*8*m*p

We can factor out an 8m. What is left goes inside the parentheses

32m + 56mp

8m(4+7p)

5 0

3 years ago

What is the measure of angle R?

tigry1 [53]

Option B:

25 degrees

Solution:

Given data in triangle PQR,

The side opposite to angle P is p.

The side opposite to angle Q is q.

The side opposite to angle R is r.

q = 36, r = 20, angle Q = 50°.

<u>To find the measure of angle R:</u>

Using law of sine,

$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

$$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}$

Take only two sides.

$$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}$

Substitute the given values.

$$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}$

Do cross multiplication.

$\Rightarrow36\times\sin R = \sin50^\circ\times20$

sin 50° = 0.766

$\Rightarrow36\times\sin R = 0.766\times20$

$\Rightarrow36\times\sin R = 15.32$

$$\Rightarrow\sin R = \frac{15.32}{36}$

$$\Rightarrow\sin R = 0.4255$

$$\Rightarrow R = \sin^{-1}(0.4255)$

⇒ R = 25.18°

⇒ R = 25° (approximately)

Option B is the correct answer.

Hence the measure of angle R is 25 degrees.

3 0

3 years ago