Evaluate b2 for b = -4.

I would really appreciate it if someone helped answer these 4 questions. I will rate 5 stars. Thank you (:

ELEN [110]

Answer:

7. 13.6

8. 19.5

9. 6.5

10. 12.6

Step-by-step explanation:

Recall the three main trig functions

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

( remember hypotenuse = longest side length , opposite = side length opposite of angle , and adjacent = side length thats not the opposite or hypotenuse )

We will use these to solve each problem

7.

We are given :

An angle with a measure of 39 degrees
The angles opposite side length
The adjacent side as the unknown

When dealing with opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in opp = 11 and adj = x as well as given angle 39

tan(39) = 11/x

==> multiply both sides by x

xtan(39) = 11

divide both sides by tan(39)

x = 11/tan(39)

plugging this into a calculator , we get x = 13.6 ( rounded )

8.

We are given :

an angle with a measure of 46 degrees
the hypotenuse which has a length of 28
and the adjacent as the unknown

When dealing with adjacent and hypotenuse we use cos

We have cos = adj / hyp

==> plug in given angle 46 , adj = x and hyp = 28

cos(46) = x/28

==> multiply both sides by 28

x = 28cos(46)

plugging this into a calculator we get x = 19.5 ( rounded )

9.

We are given :

an angle with a measure of 51 degrees
its opposite side length with a length of 8
the adjacent side length as the unknown

When dealing with the opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in 51 degrees for angle , opp = 8 and adj = x

tan(51) = 8/x

==> multiply both sides by x

xtan(51) = 8

==> divide both sides by tan(51)

x=8/tan51

plugging this into a calculator we get that x = 6.5 ( rounded )

10.

We are given:

an angle with a measure of 24 degrees
the hypotenuse which has a length of 31
the side length opposite of given angle as the unknown

When dealing with the opposite and hypotenuse we use sine

We have sin = opp / hyp

==> plug in angle as 24 , opp = x and hyp = 31

sin(24) = x / 31

==> multiply both sides by 31

31sin(24) = x

plugging this into a calculator we get that x = 12.6 ( rounded )

And we are done!

Let me know if you have any doubts in the comments ! : )

6 0

3 years ago

Whats its the result Of 25099.506/4.45?

777dan777 [17]

$\dfrac{25099.506}{4.45} \ \text{Divide}$

Shift the decimal points of both 25099.506 and 4.45 to the right by 2 decimal places.

(This is needed to convert 4.45 to 445, since long division must divide by a whole number.)

$\text{Set up the long division.}
$

$\text{Calculate 2509 divided by 445, which is 5 with a remainder of 284.}$

 $\text{ Bring down 9, so that 2849 is large enough to be divided by 445.}$

$\text{Calculate 2849 divided by 445, which is 6 with a remainder of 179.} 
$

$\text{Bring down 5, so that 1795 is large enough to be divided by 445.}$

$\text{Calculate 1795 divided by 445, which is 4 with a remainder of 15.}$

$\text{Bring down 06, so that 1506 is large enough to be divided by 445.
}$

$\text{Calculate 1506 divided by 445, which is 3 with a remainder of 171.}$

$\text{Bring down 0, so that 1710 is large enough to be divided by 445.}$

$\text{Calculate 1710 divided by 445, which is 3 with a remainder of 375.}$

$\text{Bring down 0, so that 3750 is large enough to be divided by 445.}$

$\text{Calculate 3750 divided by 445, which is 8 with a remainder of 190.}$

$\text{Bring down 0, so that 1900 is large enough to be divided by 445.}$

$\text{Calculate 1900 divided by 445, which is 4 with a remainder of 120.}$

$\text{Bring down 0, so that 1200 is large enough to be divided by 445.}$

$\text{Calculate 1200 divided by 445, which is 2 with a remainder of 310.}$

Therefore, 25099.506 ÷ 4.45 ≈ 5640.33842

8 0

3 years ago

∠1 and ∠2 are complementary angles.

Gwar [14]

Angle two would be 180-m<1

180-52= 128

Measurement of angle two is 128 degrees

5 0

3 years ago

Read 2 more answers

Write the number seven hundred fifty -one with digits

Stells [14]

751......do u seriously need this?

6 0