All categories

3 years ago

I need help number 13 and 14, how can I find x?

Mathematics

1 answer:

Alex73 [517]3 years ago

7 0

#13.
x = 50

#14
x = 142

You might be interested in

Suppose that the terminal side of angle alphaα lies in Quadrant I and the terminal side of angle betaβ lies in Quadrant IV. If s

melamori03 [73]

Solution :

It is given that :

$\alpha$ lies in the first quadrant.

And $\beta$ lies in the fourth quadrant.

Since, $\sin \alpha = \frac{5}{13}$ and $\cos \beta = \frac{6}{\sqrt{85}}$ (given)

$\sin \alpha = \frac{5}{13}$

$\cos \alpha = \sqrt{1-\sin^2 \alpha}$

$\cos \alpha = \frac{12}{13}$

Similarly $\cos \beta = \frac{6}{\sqrt{85}}$

$\sin \beta = \sqrt{1-\cos^2 \beta}$

$\sin \beta = \sqrt{1-\frac{36}{85}}$

$-\frac{7}{\sqrt{85}}$ (IVth quadrant)

Therefore,

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

$=\frac{12}{13}\times \frac{6}{\sqrt{85}}-\frac{5}{13}\times \frac{-7}{\sqrt{85}}$

$= \frac{107}{13 \sqrt{85}}$

6 0

3 years ago

think about your children blue will help take care of that he wont try to "build a wall" so mexicans cant visit there familes

sergiy2304 [10]

Answer:

Exactly. Under Trump so many families have gone missing and children are without their parents. He is such a horrible person and the fact that people actually like him mean they are ignorant and gullible or just as much of a racist as he is.

Step-by-step explanation:

Vote Biden 2020 #republicansforBiden

7 0

2 years ago

Which expression is the same as 809 thousand and 45 hundredths

Klio2033 [76]

Answer and explanation:

To find : Which expression is the same as 809 thousand and 45 hundredths ?

Solution :

Expression 809 thousand and 45 hundredths can be in the form,

Standard form is writing in number form.

809 thousand = 809000

45 hundredths = 0.45

So, 809 thousand and 45 hundredths is 809000.45.

Expanded form is writing number according to their place value.

$809000.45=8\times 100000+0\times 10000+9\times 1000+0\times 100+0\times 10+0\times 10^0+4\times 10^{-1}+5\times 10^{-2}$

$809000.45=800000+9000+0.4+0.05$

4 0

3 years ago

HELP ME ASAP PLEASE<br> 1/5 X- 2/3 equals 4/3.<br> The solution is X equals what??

Kazeer [188]

Answer:

x=10

Step-by-step explanation:

1/5 X- 2/3=4/3

+2/3 +2/3

1/5x=6/3

1/5x=2

*5 *5

x=10

8 0

2 years ago

The sum of 6 consecutive even numbers is 126

Elis [28]

6 consecutive even numbers...x, x + 2, x + 4, x + 6, x + 8, x + 10

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 126
6x + 30 = 126
6x = 126 - 30
6x = 96
x = 96/6
x = 16

x + 2 = 16 + 2 = 18
x + 4 = 16 + 4 = 20
x + 6 = 16 + 6 = 22
x + 8 = 16 + 8 = 24
x + 10 = 16 + 10 = 26

ur numbers are : 16,18,20,22,24,26

3 0

3 years ago