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3 years ago

15

There are 18 students in Mr. Alvarez’s art class. Throughout the year, every student must pair up with every other student to co

mplete a project. How many projects will be finished?
A. 149 projects
B. 153 projects
C. 171 projects
D. 135 projects

1 answer:

Anna35 [415]3 years ago

5 0

To my knowledge it would be:
B. 153 projects

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Tony is mailing packages. Each small package costs him $2.80 to send. Each large package costs him $3.60. How much will it cost

Natasha_Volkova [10]

Answer:

The answer is $33.6

Step-by-step explanation:

Each small package costs him $2.80

3 small packages will cost him 3 x $2.80 = $8.4

Each large package costs him $3.60

7 large packages will cost 7 x $3.60 = $25.2

Cost to send 3 small packages and 7 large packages = $8.4 + $25.2

= $33.6

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3 years ago

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:

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

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3 years ago

Four friends bought 2 pizzas and 4 large soft drinks. They shared the cost equally. Each pizza cost

valina [46]

Answer:

$7.85

Step-by-step explanation:

2 pizzas at 11.99=23.98

4 soft drinks at 1.85=$7.40

23.98+7.40=31.38

31.38/4=7.845

Each friend pays $7.845, or $7.85 .........

7 0

3 years ago

The rectangle shown has a perimeter of 154 cm and the given area. Its length is 5 more than five times its width. Write and solv

Andreyy89

Answer:

2(L+W) = 34

L + W = 17

.

L*W = 52

.

L = 2W+5

.

2L + 2W = 34

L - 2W = 5

--------------- add

3L = 39

L = 13

8 0

3 years ago

Read 2 more answers

The pair of points is on the graph of an inverse variation. Find the missing value. (1.6,6) and (8,y)

____ [38]

<h3>Answer: y = 1.2</h3>

Work Shown:

Inverse variation equations can be written in the form x*y = k for some fixed number k. Let's plug in the first point (x,y) = (1.6, 6) to compute the value of k

x*y = k

1.6*6 = k

9.6 = k

k = 9.6

Therefore the equation updates to

x*y = 9.6

Plug in x = 8 and solve for y

x*y = 9.6

8*y = 9.6

y = 9.6/8 .... divide both sides by 8

y = 1.2

5 0

3 years ago