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4 years ago

Find a number whose product with 7 is the same as its sum with 18

Mathematics

1 answer:

SSSSS [86.1K]4 years ago

7 0

7 + 18 = 25
25 ÷ 7 = 3.5714285714285714285

so 3.5714285714285714285 is the answer

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PLEASE HELP ME!!! (assume that no variable equals 0)

irina1246 [14]

Answer:

9a - 2b

I hope this helps!

8 0

3 years ago

!!!PLEASE HELP ME !!! AND INCLUDE AN EXPLANATION

Ede4ka [16]

Since you have the 42-deg angle and the length of the opposite side, 31, you can use the Law of Sines.

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

We will use the law of sines first to find x.

Once we know x, we can find the angle opposite y.

Then we can find y.

$\dfrac{31}{\sin 42^\circ} = \dfrac{37}{\sin x}$

$\sin x = \dfrac{37\sin 42^\circ}{31}$

$\sin x = 0.798639$

$x = \sin^{-1} 0.798639 = 53^\circ$

Let z = the angle opposite y.

z + 42 + 53 = 180

z = 85

$\dfrac{31}{\sin 42^\circ} = \dfrac{y}{\sin 85^\circ}$

$y = \dfrac{31 \sin 85^\circ}{\sin 42^\circ}$

$y = 46.2$

3 0

3 years ago

The measures of the angles in a triangle have a ratio of 2:9:1. How do you find the measures of these angles

romanna [79]

Hello. Firstly you have to remembet that the sum of the three angles in any triangle is 180grades
So, determining the constant (k) you will have:
2:9:1
2k+9k+1k=180
12k=180 180/12=k
k = 15
Multiply the constant by 180 and divide by the given ratio:
180*15 / 2
180*15 / 9 etc
then your angles are
2:9:1
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8 0

3 years ago

Verify the identity sin (x + ???? / 2) = cos(x) for all real numbers x by using a graph.

Tamiku [17]

Answer:

See proof and explanation below.

Step-by-step explanation:

First we can proof this analitically first using the following property:

$sin(a+b) = sin(a) cos(b) + sin (b) cos(a)$

If we apply this into our formula we got:

$sin (x + \frac{\pi}{2}) = sin (x) cos(\frac{\pi}{2}) + sin (\frac{\pi}{2}) cos (x)$

And if we simplify we got:

$sin (x + \frac{\pi}{2}) = sin (\frac{\pi}{2}) cos (x)= cos (x)$

And that complete the proof.

If we analyze the graphs sin(x) and cos (x) we see that we have a gap between two graphs of $\pi/2$ as we can see on the figure attached.

When we do the transformation $sin(x +\pi/2)$ we are moving to the left $\pi/2$ units and then would be exactly the cos function.

4 0

3 years ago

5. (08.02 MC) Which of the following graphs shows a pair of lines that represents the equations with the solution (3, -6)? (1 po

svlad2 [7]

Answer:

Hello, it appears you did not attach an image that would provide the necessary information for me to answer your question. I cannot see the graphs, so I'm afraid unless you present a photograph, I'm cannot help you. If you show me the graphs, I'd be more than happy to help you!

Step-by-step explanation:

5 0

3 years ago