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3 years ago

Pla help pls : What is the first step to solving the following equation? 5x – 11 = 42

Mathematics

1 answer:

kow [346]3 years ago

3 0

Answer:

x = 10.6

Step-by-step explanation:

5x - 11 = 42

first +11 so,

5x = 53

then ÷5

x = 10.6

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16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

Katyanochek1 [597]

We will use the sine and cosine of the sum of two angles, the sine and consine of $\frac{\pi}{2}$ , and the relation of the tangent with the sine and cosine:

$\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta$

$\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0$

$\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}$

If you use those identities, for $\alpha=x,\ \beta=\dfrac{\pi}{2}$ , you get:

$\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x$

$\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x$

Hence:

$\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x$

3 0

3 years ago

Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each

Cloud [144]

Answer:

Step-by-step explanation:

4 pies.. cut into 6 slices each.. is 4 *6 = 24

8 0

3 years ago

Read 2 more answers

Its 94 i said it first tho so does that mean i get brainliest

Softa [21]

Answer:

YA if you said it first ya you are supposed to get brainlies ONLY if the question says will give brainliest if your right

Step-by-step explanation:

3 0

2 years ago

X squared + 7 x equals -10

LenKa [72]

Hi there

x² + 7x = -10
x² + 7x + 10 = 0
Now, we can factor left side
(x+2)(x+5) = 0
Set factors equal to 0
x + 2 = 0 or x + 5 = 0
x = 0 - 2 or x = 0 - 5
x = -2 or x =-5

I hope that's help !

5 0

3 years ago

In a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about t

Alisiya [41]

Answer:

$\frac{7}{60}$

Step-by-step explanation:

Given that in a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience.

Since the two are drawn without replacement the first trial affects the second trial. In other words, each trial is not independent of the other.

a) Hence this cannot be binomial experiment. The reason is p=probability for each trial is not constant as first draw affect the probability for Ii draw

b) The probability that in a random sample of 2, no one has been abroad

=Prob of selecting both people from the group where no one has been abroad

We have in the group 35% i.e. 14 people never been to abroad

So required probability = Prob of selecting both from 14 people

= $\frac{14C2}{40C2} \\=\frac{14*13}{40*39} \\=\frac{7}{60}$

3 0

3 years ago