Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Answer:

40 feet

Step-by-step explanation:

long sides are 16

short sides are 4

Perimeter is l + l + w + w

so 16 + 16 + 4 + 4

= 40

The perimeter of the given rectangle is 40 feet.

The perimeter of a rectangle is defined as the sum of all the four sides of the rectangle.

The perimeter of a rectangle = 2( l + b)

It is given that rectangle is 4 times as long as it is wide. If the area is 64 square feet,

The area is 64 square feet = l x w

So,

The long sides are 16

The short sides are 4

Perimeter = 2 (l + w)

Perimeter = 2( 16  + 4)

Perimeter = 40

Learn more about the area;

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Answer:

y= -1/4x

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).

NO is corresponds to TS, thus sides NO and side TS are ≅.

=> 20 = 3x - 7

=> 3x = 27

=> x = 9

Answer:

50.2 in.

Step-by-step explanation:

To find the circumference of a circle, multiply the radius by 2, or multiply the diameter by pi.

Here, only the radius is displayed.

8 ⋅ 2 = 16.

16 is the diameter.

Now we can multiply the diameter by pi to get the circumference.

16 ⋅ 3.14 = 50.24

50.24 rounded to the nearest tenth is 50.2

Again, the formula for circumference is diameter ⋅ π (pi).

Therefore, 50.2 in. is the circumference of this circle.

Answer:   9.397

Step-by-step explanation: c = a·sin(C)/sin(A) = 9.39693

Answer:

2*t

Step-by-step explanation:

That should be it...

Just multiply 2 by t

Answer:

2t

"t" is the variable, and is similar to something that would look like this: 2(2)

i think you're overthinking this but I'll help out if I'm wrong

Answer:

85

Step-by-step explanation:

Answer:

ESTEBAN IS FOKING BROKE

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mixed number 1 1/3 is equal to the improper fraction 4/3.

Answer:

4/3

explanation:

She has 36 shells

9+(9*3)

9+27

=36

Please mark as brainliest. :)

Answer:

32 kilometers

Step-by-step explanation:

65 - 33 = 32 kilometers

Hope this helps

Answer:

b = 56km is the answer.

Step-by-step explanation:

a (Northbound train) = 33km

b (Eastbound train) = ?

c (Distance between them) = 65km

According to the Pythagorean theorem,

a² + b² = c²

33² + b² = 65²

1089 + b² = 4225

b² = 4225 - 1089

b² = 3136

b = 56km

∴ the eastbound train has travelled 56km.

Answer:

a. Jacques will be 46.4m below the surface and his assistant will be 78.1m below the surface.

b. 10 minutes

c. 6 minutes

Step-by-step explanation:

Let the equation for Justin's motion be J(x)=-13.9-7.5x (where J(x) is his distance from the surface in metres and x is time in minutes), because he starts off 13.9m below the surface and descends 7.5m every minutes.

Let the equation for the assistant be a(x)=-97.3=+6.4x (where a(x) is his distance from the surface in metres and x is time in minutes), because he starts off 97.3m below the surface and ascends 6.4m every minutes.

a.

J(x)=-13.9-7.5x

J(3)=-13.9-7.5(3)=-13.9-22.5=-36.4

a(x)=-97.3=+6.4x

a(3)=-97.3+6.4(3)=-97.3+19.2=-78.1

b.

a(x)=-97.3=+6.4x

-33.3=-97.3=+6.4x

64=6.4x

x=10

c.

when divers are at the same depth, J(x)=a(x)

J(x)=a(x)

-13.9-7.5x=-97.3=+6.4x

83.4=13.9x

x=6

Answer:

Step-by-step explanation:

1/4. Two lines are perpendicular if -1/m1 = m2 where m1 and m2 are the slopes of which are perpendicular.

Answer:

600 sq.ft.

Step-by-step explanation:

10 * 24 = 240 / 2 = 120

20*24 = 480

480+120 = 600

600 sq.ft.

Answer:

720

Step-by-step explanation:

So there are two things you need to remember to sovle this problem.

First, the formula for area of a square. This is just base x height.

Second, the formula for area of a triangle. THis is just 1/2 x base x height.

Lets plug our values into both formulas and see what we get.

So the area of the square would be:

24 x 20.

This is 480.

Now that we know the area of the square is 480, lets find the area of the traingle:

1/2 x 24 x 20

This will get you 240.

Low lets just add the two together, and we get:

240+480=720

So the area is:

720

Answer:

35

Each sequence has a difference of eight numbers so we add 8 numbers in each sequence

Answer:

a) (i) 36

(ii) previous+8

b) 75

Step-by-step explanation:

a) (i) 27+8=36

(ii) previous+8

b) 10 th term is 3+9×8= 75

Answer:

7

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

180-48=132

Answer:

24 glasses

Step-by-step explanation:

If a glass holds 1/6 liters of liquid, that means that 6 of them can hold one liter

1/6 * 6 = 1

and if 6 of them can hold 1 liter, that means 24 of them can hold 4 liters

6 * 4 = 24

Answer:

False

Step-by-step explanation:

Answer:

24.1

Step-by-step explanation:

Answer:

y = -2x + 4

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:

[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]

So, the slope is -2.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.  

3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:

[tex]y = -2x + 4[/tex]

Answer:

the answer is A. 6 red

Step-by-step explanation:

3*3=9 3*2=6

Answer:

x=22/9

Step-by-step explanation:

4(3√(x-2))+1=9

4(3√(x-2))=8

3√(x-2)=2

√(x-2)=2/3

x-2=4/9

x=4/9+2

x=4/9+18/9

x=22/9

Therefore, the solution is x=22/9

Answer:

table C

Step-by-step explanation:

We have to try to substitute the x with its value and y with its value. If the equality is satisfied, the points are points of the line

Table A

0 = 0 + 2

0 = 2 false, table A can’t be the answer

Table B

2 = 2 true

4 = 6 + 2

4 = 8 false, table B can’t be the answer

Table C

2 = 2 (true)

8 = 6+2 ; 8=8 (true)

14 = 12 + 2 ; 14= 14 (true)

20 = 18 + 2 ; 20=20 (true)

Answer:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]

Step-by-step explanation:

We want to evaluate the limit:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}[/tex]

To do so, we can divide everything by x². So:

[tex]=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}[/tex]

Now, we can apply direct substitution:

[tex]\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}[/tex]

Any constant value over infinity tends towards 0. Therefore:

[tex]\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3[/tex]

Hence:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]

Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3x², and in the denominator it is x². So:

[tex]\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to\infty}3=3[/tex]

The limit of a constant is simply the constant.

We acquire the same answer.

Answer:

I am guessing A or C.

Step-by-step explanation:

Hope this helps you :)

Answer:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

Step-by-step explanation: