All categories

2 years ago

Evaluate rs + 14s when r = 6 and s = 8

Mathematics

1 answer:

Ivahew [28]2 years ago

3 0

Answer:

160

Step-by-step explanation:

Plug in 6 for r, and 8 for s in the expression:

(r)(s) + (14)(s) = (6)(8) + (14)(8)

Remember to follow PEMDAS. First, multiply, then add:

(6 * 8) + (14 * 8)

48 + 112

112 + 48 = 160

160 is your answer.

You might be interested in

PLS HELP!! :))<br><br> Find the volume......

OLEGan [10]

Answer:

19 + 14 + 10 = 43

Step-by-step explanation:

7 0

2 years ago

What is the growth factor for y=4^x

tester [92]

Since 4>1, this represents exponential growth.

5 0

2 years ago

Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.

GalinKa [24]

Q = 5/5 q= 3/5 zzzzzzzzzzzzzzzz

7 0

3 years ago

Read 2 more answers

If sinA+cosecA=3 find the value of sin2A+cosec2A

Irina18 [472]

Answer:

$\sin 2A + \csc 2A = 2.122$

Step-by-step explanation:

Let $f(A) = \sin A + \csc A$ , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

$\csc A = \frac{1}{\sin A}$ (1)

$\sin^{2}A +\cos^{2}A = 1$ (2)

Now we perform the operations: $f(A) = 3$

$\sin A + \csc A = 3$

$\sin A + \frac{1}{\sin A} = 3$

$\sin ^{2}A + 1 = 3\cdot \sin A$

$\sin^{2}A -3\cdot \sin A +1 = 0$ (3)

By the quadratic formula, we find the following solutions:

$\sin A_{1} \approx 2.618$ and $\sin A_{2} \approx 0.382$

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

$\sin A \approx 0.382$

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

$A \approx 22.457^{\circ}$

Then, the values of the cosine associated with that angle is:

$\cos A \approx 0.924$

Now, we have that $f(A) = \sin 2A +\csc2A$ , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used: