11 5/8 +9 1/2 is my problem

John needs to cut three strips of woods, 25.5 cm, 15.3cm and 9.25cm long. He has a strip that is 72 cm long. How long will lefto

horsena [70]

Add 25.5, 15.3, 9.25 all together and subtract it from 72. The answer is 21.95

7 0

3 years ago

The parking garage has 9 rows with 10 parking space in each row . There are 8 empty space . How many space are filled.

tatiyna

Answer:

82 .

Step-by-step explanation:

9x 10 = 90 then 90-8 = 82 that how many spaces are filled .

7 0

3 years ago

If sin theta = (4)/(7), theta in quadrant II, find the exact value of (a) cos theta (b) sin (theta + (pi) / (6) ) (c) cos (the

EleoNora [17]

Answer:

a) $\cos(\theta) = \frac{\sqrt[]{33}}{7}$

b) $\sin(\theta + \frac{\pi}{6})\frac{-3\sqrt[]{11}+4}{14}$

c) $\cos(\theta-\pi)=\frac{\sqrt[]{33}}{7}$

d) $\tan(\theta + \frac{\pi}{4}) = \frac{\frac{-4}{\sqrt[]{33}}+1}{1+\frac{4}{\sqrt[]{33}}}$

Step-by-step explanation:

We will use the following trigonometric identities

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

$\cos(\alpha+\beta) = \cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)$ $\tan(\alpha+\beta) = \frac{\tan(\alpha)+\tan(\beta)}{1-\tan(\alpha)\tan(\beta)}$ .

Recall that given a right triangle, the sin(theta) is defined by opposite side/hypotenuse. Since we know that the angle is in quadrant 2, we know that x should be a negative number. We will use pythagoras theorem to find out the value of x. We have that

$x^2+4^2 = 7 ^2$

which implies that $x=-\sqrt[]{49-16} = -\sqrt[]{33}$ . Recall that cos(theta) is defined by adjacent side/hypotenuse. So, we know that the hypotenuse is 7, then

$\cos(\theta) = \frac{-\sqrt[]{33}}{7}$

b)Recall that $\sin(\frac{\pi}{6}) =\frac{1}{2} , \cos(\frac{\pi}{6}) = \frac{\sqrt[]{3}}{2}$ , then using the identity from above, we have that

$\sin(\theta + \frac{\pi}{6}) = \sin(\theta)\cos(\frac{\pi}{6})+\cos(\alpha)\sin(\frac{\pi}{6}) = \frac{4}{7}\frac{1}{2}-\frac{\sqrt[]{33}}{7}\frac{\sqrt[]{3}}{2} = \frac{-3\sqrt[]{11}+4}{14}$

c) Recall that $\sin(\pi)=0, \cos(\pi)=-1$ . Then,

$\cos(\theta-\pi)=\cos(\theta)\cos(\pi)+\sin(\theta)\sin(\pi) = \frac{-\sqrt[]{33}}{7}\cdot(-1) + 0 = \frac{\sqrt[]{33}}{7}$

d) Recall that $\tan(\frac{\pi}{4}) = 1$ and $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}=\frac{-4}{\sqrt[]{33}}$ . Then

$\tan(\theta+\frac{\pi}{4}) = \frac{\tan(\theta)+\tan(\frac{\pi}{4})}{1-\tan(\theta)\tan(\frac{\pi}{4})} = \frac{\frac{-4}{\sqrt[]{33}}+1}{1+\frac{4}{\sqrt[]{33}}}$

5 0

3 years ago

What is the measure of m<3<br>A. 58 degrees<br>B. 122 degrees<br>C. 116 degrees<br>D. 64 degrees

Firdavs [7]

Hello!

$\large\boxed{\text{ D. 64 degrees}}$

Angles in a triangle sum up to 180°, so:

180° = 58° + 58° + m∠3

Combine and subtract:

180° = 116° + m∠3

64° = m∠3

Thus, the answer is D.

5 0

3 years ago

Read 2 more answers

Which one is closer to 1 whole , 1 1/4 , 1 1/12 , 1 5/12 ? explain

N76 [4]

Answer:

1 1/2

Step-by-step explanation:

We need to convert all of these into one denominator. 1 1/4 needs to be converted into 12ths. 4 x 3 = 12 1 x 3 = 3. Our new fraction instead of 1 1/4 is 1 3/12.

Which is closer to the whole number?

1 1/12 is 1/12 away from a whole number

1 3/12 is 3/12 away from a whole number

1 5/12 is 5/12 away from a whole number

Hope this helps!

5 0

3 years ago