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3 years ago

The complement of an angle is 53°. What is the measure of the angle?

1 answer:

3 0

The complement of
53
°
53
°
is the angle that when added to
53
°
53
°
forms a right angle (
90
°
90
°
).
90
°
−
53
90
°
-
53
Subtract
53
53
from
90
90
.
379
°

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The vectors x and y are unit vectors that make and angle of 30 degrees with each other. Calculate the value of | 2x + y | and th

ICE Princess25 [194]

Answer: the value of | 2x + y | = 1.39

the direction of 2x + y = 21°

Step-by-step explanation:

Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.

Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.

Therefore

2x-y=

2< 1,0 > - < cos(30),sin(30) >

=<2-(√2)/2, 0-1/2>

and

|2x-y|=√((2-(√2)/2)² + (-1/2)^2)

=1.3862

Therefore the value of | 2x + y | = 1.39

=atan((-1/2)÷(2-(√2)/2))

=atan(1.29289/-0.5)

=-0.369 radians

= -21.143°

Therefore the direction of 2x + y is

21°

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2 years ago

Identify the constant of proportionality for each direct variation below.

andriy [413]

Answer:

see explanation

Step-by-step explanation:

The equation of 2 quantities in direct proportion is

y = kx ← k is the constant of proportionality

y = - 4x ← in standard form

with k = - 4

$\frac{y}{x}$ = 2 ( multiply both sides by x )

y = 2x ← in standard form

with k = 2

$\frac{x}{y}$ = 3 ( multiply both sides by y )

x = 3y ( divide both sides by 3 )

$\frac{1}{3}$ x = y ← in standard form

with k = $\frac{1}{3}$

3 0

2 years ago

6. Dina is moving and he is going to rent a moving van. She will need it for one day. The cost of renting the van $145 for the d

Marat540 [252]

Answer:

403.75

Step-by-step explanation:

we can write the following equation

.75m+145=price

we just need to plug in 345 for m

.75*345+145=price

put this into a calculator and get 403.75

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2 years ago

You deposit $200 in an account earning 3.5% simple interest how long will it take for the balance of the account to be $221

Rus_ich [418]

It takes 3 years for the balance of account to be $ 221

Solution:

From given information,

Principal = $ 200

Rate of interest = 3.5 %

Amount after "n" years = $ 221

To find: number of years

In simple Interest,

Simple interest = amount earned - principal

Simple interest = 221 - 200 = 21

Thus simple interest earned is $ 21

The formula for simple interest is given as:

$simple\ interest = \frac{ p \times n \times r}{100}$

Where,

p is the principal

n is the number of years

r is the rate of interest per annum

Substituting the given values in formula,

$21 = \frac{200 \times n \times 3.5}{100}\\\\21 = 2n \times 3.5\\\\n = \frac{21}{7}\\\\n = 3$

Thus it takes 3 years for the balance of account to be $ 221

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3 years ago

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Afina-wow [57]

5a) rotational symmetry is 2 because it can be rotated only 2 times before it turns to the original form.

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d) The diagram will show the answer!

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2 years ago