Consider the sequence defined by the following explicit formula<br><br> An =4N2 + 6

What is the value of -2/5 divided by 3/4

wlad13 [49]

Answer:

$-\frac{8}{15}$

Step-by-step explanation:

To divide a fraction by another fraction, you flip the second fraction and also change the divide sign to a multiply sign.

$-\frac{2}{5}\div \frac{3}{4}=-\frac{2}{5}\times \frac{4}{3}$

Multiply:

$-\frac{2\times \:4}{5\times \:3}$

$-\frac{8}{15}$

8 0

3 years ago

Find Exact Answers, Show your work. BRANLIEST ASAP!! THANK YOU

4vir4ik [10]

$$\cos\theta=\frac{\text{5}}{\text{13}}, \ \sin\theta=\frac{\text{12}}{13}, \ \tan\theta=\frac{\text{12}}{\text{5}}$

$$\sec\theta=\frac{\text{13}}{\text{5}},\ \csc \theta=\frac{\text{13}}{\text{12}} , \ \cot \theta=\frac{\text{5}}{\text{12}}$

Solution:

Given triangle is a right triangle.

Base = 5, Hypotenuse = 13, Height = ?

Height (h) = opposite

<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

$5^2+h^2=13^2$

$25+h^2=169$

$h^2=144$

Taking square root on both sides.

h = 12

$$\cos\theta=\frac{\text{Base}}{\text{Hypotenuse}}$

$$\cos\theta=\frac{\text{5}}{\text{13}}$

$$\sin\theta=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$$\sin\theta=\frac{\text{12}}{13}$

$$\tan\theta=\frac{\text{Opposite}}{\text{Base}}$

$$\tan\theta=\frac{\text{12}}{\text{5}}$

$$\sec\theta=\frac{\text{Hypotenuse}}{\text{Base }}$

$$\sec\theta=\frac{\text{13}}{\text{5}}$

$$\csc \theta=\frac{\text{Hypotenuse}}{\text{Opposite }}$

$$\csc \theta=\frac{\text{13}}{\text{12}}$

$$\cot \theta=\frac{\text{Base }}{\text{Opposite}}$

$$\cot \theta=\frac{\text{5}}{\text{12}}$

6 0

4 years ago

Aaron and Maria collected shells one morning at the beach. Maria had 3 times as many as Aaron, but they would have the same numb

avanturin [10]

3A = M
A + 8 = M - 6
3A = M

A + 8 = 3A - 6
A + 14 = 3A
14 = 2A
A = 7

M = 3A
M = 3 x 7
M = 21

So overall Aaron had 7 shells, and Maria had 21.

6 0

3 years ago

A photographer will arrange 6 people of 6 different heights for a photograph by placing them in two rows of three so that each p

Svetllana [295]

Answer:5

Step-by-step explanation:

This can be solved by fixing the position of shortest and tallest person in the first and second row respectively .

Rest we have four person remaining and we have to arrange 4 person in 4 positions therefore we can do it in

$^4P_2$ ways out of which we have to exclude the case when both the tall persons is in the first row and short person in second rows

Therefore a total of 6-1 ways is possible

3 0

4 years ago

Kevin wants to earn more than $58 trimming trees. He charges S6 per hour and pays $8 in equipment fees. What are the possible nu

jonny [76]

Answer:

58 ≤ 6r - 6

64 ≤ 6r

10.3 ≤ r

Step-by-step explanation:

6 0

3 years ago

Consider the sequence defined by the following explicit formula An =4N2 + 6 ​

Consider the sequence defined by the following explicit formula An =4N2 + 6