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galben [10]
3 years ago
13

Find the average of the following numbers: −34 and −37

Mathematics
1 answer:
OverLord2011 [107]3 years ago
5 0

Answer:-35.5

Step-by-step explanation:

-34 + -37 = -71

-71 divided by 2 = -35.5

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat
Lelechka [254]
<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

                             A = 0.5 ab SinC

Here we need to find how area changes with  a and b fixed and C is changing,

                       \frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}

We have

                 a = 8 m

                 b = 9 m

                 C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s

Substituting

                 \frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s

Rate at which area is increasing is 1.08 m²/s.

4 0
3 years ago
(PLS HELP AND FAST!!!!) 1. A single, standerd number cube is tossed. What is the probality of getting a number GREATER then 3? A
11111nata11111 [884]

Answer:

D

Step-by-step explanation:

assuming a 6 sided die half of the die is above 3 so 1/2

5 0
2 years ago
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -3 2 -9 3 -15 4 -21
aleksley [76]

Answer:

The numbers:

1, -3, 2, -9, 3, -15, 4, -21,

are not linear.

Step-by-step explanation:

If it was linear:

4, 3, 2, 1, -3, -9, -15, -21

8 0
3 years ago
How do you solve 3 x 3 1/3
Butoxors [25]

Answer:

10

Step-by-step explanation:

Turn 3 1/3 into an improper fraction.

(3*3) + 1 = 10/3    so 10/3 is the same as 3 1/3

Turn the 3 into an improper fraction of 3/1

Now multiply 10/3 * 3/1  multiplying straight across: 10*3/3*1=30/3=10

4 0
3 years ago
A plane descends 1000 ft while flying<br> 2.7 mi. What is the angle of descent?
Murrr4er [49]

Answer:

4.02°

Step-by-step explanation:

The angle of descent can be obtained using trigonometry ;

Since we have a right angled triangle ;

Let's use the relation:

Sin θ = opposite / hypotenus

Hypotenus = 2.7 miles

1 mile = 5280 feets

2.7 miles = (2.7 * 5280) = 14256 feets

Sin θ = 1000 / 14256

Sin θ = 0.0701459

θ = sin^-1(0.0701459)

θ = 4.0223674

3 0
3 years ago
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