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3 years ago

What is the quotient in simplest form? 8 Over 3 divided by two-thirds

Mathematics

1 answer:

Darina [25.2K]3 years ago

7 0

Answer:

Step-by-step explanation:

8/3 ÷ 2/3

8/3 * 3/2

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2 years ago

Hello I need help Find the missing side lengths, leave your answers as radicals in simplest form

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$y = \frac{1}{2} \times \frac{8 \sqrt{3} }{3} \\$

$y = \frac{4 \sqrt{3} }{3} \\$

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$x = \frac{ \sqrt{3} }{2} \times \frac{8 \sqrt{3} }{3} \\$

$x = \frac{8 \times { \sqrt{3} }^{2} }{2 \times 3} \\$

$x = \frac{8 \times 3}{2 \times 3} \\$

$x = \frac{8}{2} \\$

$x = 4$

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3 years ago

find all the solutions of sec theta - 2 =0. It says use "or" as necessary and gives an example of kpi.

swat32

Sec t (theta) - 2 = 0
sec t = 2
1/ cos t = 2
cos t = 1/2
Answer:
t = π / 3 + 2 k π , or : t = 5 π / 3 + 2 kπ,
k ∈ Z

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3 years ago

State the degree x^3y^2+7x^2y^5-3xy^8

KATRIN_1 [288]

The main formula for a polynomial ax^my^n+...
the degree is the sum of the highest degree of the polynomial, it is m+n

the degree of x^3y^2+7x^2y^5-3xy^8 is 9, because 3xy^8 is the term where we can find a highest value of power (8)
so the degree is degree of x, it is 1 + degree of y (it is 8)

4 0

3 years ago

Read 2 more answers

If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are: