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zhenek [66]
3 years ago
11

Find a ⋅ b. a = 9i + 5j, b = 4i + 3j

Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0
-36 + 47ji + 15j^2


Best luck with your studying
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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 16o when staring at the top of the sta
NemiM [27]

Answer:

The height of the statue is 21.4 feet

Step-by-step explanation:

We are given

A person is standing 50 ft from a statue

The person looks up at an angle of elevation of 16 degree when staring at the top of the statue

hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue

Firstly, we will draw diagram

In triangle ABF:

FC=50

we can use trig formula

tan(16)=\frac{y}{50}

y=50tan(16)

y=14.33727ft

now, we can find x

In triangle DEF:

we can use trig formula

tan(8)=\frac{x}{50}

x=50tan(8)

x=7.0270ft

we can see that

height of statue =x+y

so, the height of statue is

=14.33727+7.0270

=21.4ft


6 0
3 years ago
Determine algebraically whether the function is even, odd, or neither even nor odd.
m_a_m_a [10]
For a function (fn) to be odd:
f(x) = - f(-x)
For a fn to be even:
f(x) = f(-x)
For a fn to be neither even nor odd
f(x) != f(-x)  [No Relation]

(-x)^n = x^n   for n -> even
(-x)^n = -x^n  for n -> odd
In your example:

f(x) = -4x^3 + 4x
f(-x) = -4 (-x)^3 + 4 (-x)^1  ( 3 and 1 are odd powers )
f(-x) = 4x^3 - 4x   (take -1 common to do the check)
f(-x) = -( -4x^3 + 4x ) = - f(x)  [between the bracket was the original fn]

f(x) = - f(-x)   
so the function is odd also called symmetric about the origin
7 0
3 years ago
URGENT PLEASE HURRY I'M RUNNING OUT OF TIME!!!!!
tester [92]
2.15
1hr is 60 min so
60÷15=4
45miles×2hrs=90
45÷4=11.25
90+11.25=101.25 miles
101.25 miles÷ 25 miles per gallon= 4.05 gallons
4.05 gallons× $2.75 per gallon= $11.1375
$11.1375= $11.14
Alicia spends $11.14 on gas to get to work

7 0
4 years ago
3×=18 what the answer to this problem
Luden [163]

Answer:

x=6

Step-by-step explanation:

Divide both sides by 3

7 0
3 years ago
Read 2 more answers
Please help ASAP!!!!!!!
AveGali [126]

Answer: 63.3

Step-by-step explanation:

9.5v + 8.7w

v = 3

w = 4

9.5(3) + 8.7(4)

28.5 + 34.8

63.3

8 0
3 years ago
Read 2 more answers
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