All categories

2 years ago

Use the diagram to complete the statement

Mathematics

1 answer:

poizon [28]2 years ago

7 0

I believe it is 105 since if added together they make a linear pair(I believe) so, 180-75 equals 105.

You might be interested in

There are 6 minutes of commercials for every 24 minutes of television. How many minutes of commercials are there in 1 hour and 3

mafiozo [28]

Answer:

$16\ minutes$

Step-by-step explanation:

For every $24\ minutes$ of television time of commercials = $6\ minutes$

% of commercials $\=frac{6}{24}\times 100=25\%$

Now when time of television $=1\ hour\ 36\ minutes=60+36=96\ minutes$

$25 \%\ of 96=\frac{25}{100}\times 96=\frac{96}{4}=16\ minutes$

6 0

3 years ago

Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

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

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

$\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}$

8 0

3 years ago

If y is 15 times x, which equation shows the relationship between x and y?

zhannawk [14.2K]

Is= equals sign
times= multiplication

So y equals 15 times x

y= 15 * x
y= 15x

ANSWER: y= 15x (bottom choice)

Hope this helps! :)

4 0

2 years ago

What irrational number is between 6 and 7

Alexxandr [17]

Answer:

2pi?

Step-by-step explanation:

Pi is an irrational number so I guess double of pi would be irrational too.

2pi would be something like 6.28318531...

4 0

3 years ago

Reggy is a reading a 340 page book. It takes him 7 days to read the first 119 pages. At this rate, how much longer will it take

julsineya [31]

Answer:

Step-by-step explanation:

If he reads 119 pgs in 7 days that mean 119/7 = 17 he reads 17 pgs per day

next 340-119 = 221 then 221/17= 13

5 0

3 years ago

Use the diagram to complete the statement ​

Use the diagram to complete the statement