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3 years ago

Help? Find the value of x.

Mathematics

2 answers:

mafiozo [28]3 years ago

8 0

Answer:

x = 10

Step-by-step explanation:

If you add the angles up, you get 110, so the missing angle is 70. It is an isosceles triangle. The bottom length should be about 11.

prohojiy [21]3 years ago

5 0

Answer:

X = 10in

Step-by-step explanation:

The 55 degree angle has a side value of 10in, so another 55 degree angle will also be 10in.

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Hana Coffee Company roasts and packs coffee beans. The process begins by placing coffee beans into the Roasting Department. From

yan [13]

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6 0

3 years ago

What value of θ makes cosθ = sin70° a true statement?<br> A) 20° <br> B) 40° <br> C) 70° <br> D) 90°

Delvig [45]

Answer:

A) 20°

Step-by-step explanation:

Sine and cosine are co-function complements which means that value of sine of an angle is equal to the value of cosine of the complementary angles.

This can be represented by:

$\sin\theta=\cos(90\°-\theta)$

$\cos\theta=\sin(90\°-\theta)$

Given statement:

$cos\theta=\sin70\°$

Applying co-function complements

$\cos\theta=\sin(90\°-\theta)$

Since, we can represent 70° = 90°-20°

$\cos20\°=\sin(90\°-20\°)$

Thus, $\theta=20\°$ makes the statement true.

3 0

3 years ago

Please help and explain!!!!!

FinnZ [79.3K]

Let $x$ be the amount of the 30% alloy and $y$ the amount of the 60% alloy the metalworker will use. However much is used, the final alloy will have a mass of

$x+y=100$

kilograms. For each kg of the 30% alloy used, 0.3 kg is copper; similary, each kg of the 60% alloy contributes 0.6 kg, so that

$0.3x+0.6y=0.54(x+y)=54$

Now,

$x+y=100\implies y=100-x$

$\implies0.3x+0.6(100-x)=54$

$\implies60-0.3x=54$

$\implies0.3x=6$

$\implies x=20$

$\implies y=100-20=80$

6 0

4 years ago

PLEASE HELP! IM ALMOST DONE !

maksim [4K]

Answer:

D. $\frac{22x + 48}{x^2 - 36}$

Step-by-step explanation:

Given:

$\frac{15}{x - 6} + \frac{7}{x + 6}$

Required:

Find its equivalent expression

Solution:

Add both fractions

Thus,

$\frac{15}{x - 6} + \frac{7}{x + 6}$

$\frac{15(x + 6) + 7(x - 6)}{x^2 - 36}$

$\frac{15x + 90 + 7x - 42}{x^2 - 36}$

$\frac{15x + 7x + 90 - 42}{x^2 - 36}$

$\frac{22x + 48}{x^2 - 36}$

Therefore,

$\frac{15}{x - 6} + \frac{7}{x + 6} = \frac{22x + 48}{x^2 - 36}$

3 0

3 years ago

If 3 suspects who committed a burglary and 6 innocent persons are lined up, what is the probability that a witness who is not su

Nataly [62]

The number of ways you can pick 3 people from 9 = 9*8*7 / 3*2*1 = 84

So chance of picking the 3 suspects = 1 / 84.

The number of ways to pick 3 from the 6 innocent people = 6*5*4 / 3*2*1 = 20

Chances of picking 3 innocent people = 20 / 84 or 5/21

7 0

4 years ago