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aleksandr82 [10.1K]
3 years ago
12

(-16) - (+12) + (-୨)

Mathematics
2 answers:
sveticcg [70]3 years ago
7 0

Answer:

-37

Step-by-step explanation:

Nesterboy [21]3 years ago
3 0

Answer:

-37

Step-by-step explanation:

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Which of the following are solutions to the equation sinx cosx = (sqrt of 3)/4? Check all that apply.
Dmitriy789 [7]

\sin x \cos x = \dfrac{\sqrt 3}{4}


2 \sin x \cos x = \dfrac{\sqrt 3}{2}


\sin 2x = \sin \frac \pi 3


2x = \frac \pi 3 + 2 \pi n \textrm{ or } 2x = (\pi - \frac \pi 3) + 2 \pi n \quad \textrm{integer } n


x = \frac \pi 6 +  \pi n \textrm{ or } x =  \frac \pi 3 +  \pi n


Choices A and C



6 0
3 years ago
A roller coaster has four cars each with the same number of seats. these are 21 passengers seated in the roller coaster, but 3 s
belka [17]

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

                                   = 21 + 3

                                   = 24

Now, the required equation is

4s=24

Therefore, the required equation is 4s=24.

Divide both sides by 4.

s=\dfrac{24}{4}

s=6

Therefore, the number of seats in each car is 6.

6 0
3 years ago
Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder
Rashid [163]

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

3 0
3 years ago
Does anyone know how to do #4 plz help me!!!
liberstina [14]
If you can get me some numbers this would be easier
however there's r= radius
h=height
I'm not fully understanding this
4 0
3 years ago
Read 2 more answers
AM= 5x+10 MB= 4x+16 is the midpoint of AM. Find AM
Lady bird [3.3K]
5x+10=4x+16
x=6
AM= 40
6 0
3 years ago
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