I don’t understand please help

Given :

Magnitude of vector is 30 units.

Direction of vector from x-axis is 116°.

To Find :

The component form of the vector.

Solution :

We know, vector in component form is given by :

[tex]\vec{v} = (Acos\ \theta) \hat{i} + (Asin\ \theta)\hat{j}[/tex]

Putting given values,

[tex]\vec{v} = (30\times cos\ 116^o) \hat{i} + (30\times sin\ 116^o)\hat{j}\\\\\vec{v} = -13.15 \hat{i} + 0.90 \hat{j}[/tex]

Hence, this is the required solution.

Answer:

To find the hypotenuse, you would use the formula a^2 + B^2 = C^2

That is the formula for the pythagorean theorem.

I suggest you first plot it on a graph, then could the units on the sides that make up the legs.

When you plot it, the legs are both 1 unit.

so it would be, following the formula:

1^2 + 1^2 = c^2

1 x 1 + 1 x 1 = c^2

2 = c^2

Then you square root:

√2 = √c^2

1.41421356 = c

1.41421356 rounded to the nearest tenth is 1.4.

So the length of (5,1), (4,0) is ≈1.4

Answer:

14.6

Step-by-step explanation:

We solve using the Trigonometric function Cosine

cos θ = Adjacent/Hypotenuse

θ = 40°

Hypotenuse = 19

Adjacent = x

Therefore,

cos 40 = x/19

Cross Multiply

x = cos 40 × 19

x = 14.554844419

Approximately to the nearest tenth,

x = 14.6

Answer:

270 s

Step-by-step explanation:

4 minutes = 240s

add the other 30s

boom

9514 1404 393

Answer:

  29 in²

Step-by-step explanation:

No need to be stumped. The dashed lines divide the figure into three recognizable forms, for which you have area formulas.

The area of a rectangle or parallelogram is given by the formula ...

  A = bh . . . . .  where b represents the base, and h represents the height.

__

The top part of the figure is a square. That is, it is a rectangle with its base equal to its height. In this figure, both are labeled 2 in.

  A = (2 in)(2 in) = 4 in² . . . . . . area of top square

The middle part of the figure is a parallelogram. Its base is the same as the base of the rectangle below it. Its height is labeled 3 in.

  A = (5 in)(3 in) = 15 in² . . . . . . area of middle parallelogram

The bottom part of the figure is a rectangle with a height of 2 in. Its base is the same length we used for the parallelogram: 5 in.

  A = (5 in)(2 in) = 10 in²

The area of the figure is the sum of the areas of its parts:

  figure area = 4 in² + 15 in² + 10 in² = 29 in²

The area of the figure is 29 in².

Answer: [tex]39\ \text{Ounces}[/tex]

Step-by-step explanation:

Given

The amount of cashews is [tex]1\frac{1}{4}\ \text{Pounds}[/tex]

Amount of almonds [tex]7\ \text{ounces}[/tex]

The amount of pecans is [tex]\frac{3}{4}\ \text{Pounds}[/tex]

We know, [tex]1\ \text{Pound}=16\ \text{Ounces}[/tex]

Converting pounds to ounces and adding them

[tex]\Rightarrow 1\dfrac{1}{4}\times 16+7+\dfrac{3}{4}\times 16\\\\\Rightarrow \dfrac{5}{4}\times 16+7+3\times 4\\\\\Rightarrow 20+7+12=39\ \text{ounces}\ or\ \dfrac{39}{16}\ \text{Pounds}[/tex]

Thus, the nuts weigh [tex]39\ \text{Ounces}[/tex]

Answer: [tex]y=\dfrac{3}{4}x[/tex]

Step-by-step explanation:

Given

3 cups of milk are required for 4 cups of flour

Suppose there are x cups of milk and y cups of flour

So, according to the question

[tex]\Rightarrow 3x=4y\\\\\Rightarrow y=\dfrac{3}{4}x[/tex]

The above equation represents the linear equation.

Answer:

C. 3.5 mi

Step-by-step explanation:

Reference angle = angle of elevation

Angle of elevation = angle of depression = 6° (alternate angle theorem)

Hypotenuse = x

Opposite = 1905 ft

Apply trigonometric function SOH:

Sin 6° = Opp/Hyp

Sin 6° = 1905/x

x * Sin 6° = 1905

x = 1905/Sin 6°

x = 18,224.7 ft

Convert form feet to miles

1 mi = 5,280 ft

Therefore,

18,224.7 = 18,224.7/5,280

= 3.45164773 mi

≈ 3.5 mi (nearest mile)

Answer:

g

Step-by-step explanation:

Answer:

g is the answer trust me all the best

Answer:

x = 25

Step-by-step explanation:

Using the formula a²+b²=c², you can easily find out the hypotenuse of the triangle (which is the long side of it, and is the x in this problem.)

If we substitute the side lengths for the question in a²+b²=c², you'll get

20²+15²=x²

Simplifying the numbers and squaring them, you get

400+225=625²

Since you want the value of the x side, you'll need to root 625.

√625=25

Therefore, x = 25

Answer:

x = 25

Step-by-step explanation:

To find the side lengths of a right triangle, we can use the Pythagorean Theorem, a² + b² = c². a and b are the legs, and c is the hypotenuse, the longest side. In this figure, x is the hypotenuse, c.

Plug in our values for a and b and solve for x.

[tex]a^2+b^2=c^2[/tex]

[tex]20^2+15^2=c^2[/tex]

[tex]400+225=c^2[/tex]

[tex]625=c^2[/tex]

[tex]\sqrt{625}[/tex] = [tex]\sqrt{c^2}[/tex]

[tex]25=c[/tex]

c, or x is equal to 25. The missing sidelength is 25 units.

Good luck ^^

Given:

A regular hexagon with side 11.5 units and apothem 10 units.

To find:

The area round to the nearest tenth.

Solution:

Area of a regular polygon is:

[tex]A=\dfrac{1}{2}Pa[/tex]           ...(i)

Where, P is the perimeter and a is the apothem.

The given figure is a regular hexagon with six sides. So, the perimeter of the given figure is the product of number of sides and the side length.

[tex]P=6\times 11.5[/tex]

[tex]P=69[/tex]

Putting [tex]P=69,a=10[/tex], we get

[tex]A=\dfrac{1}{2}(69)(10)[/tex]

[tex]A=(69)(5)[/tex]

[tex]A=345 [/tex]

Therefore, the area of the regular polygon is 345.0 square units.

Answer: 43.9823

Step-by-step explanation:

The equation to find the circumference is c=2πr. By the “r” in the equation represents the radius. The question says the radius is 7 so you just input the 7 where the “r” is. So 2·π·7=43.9823.

C=2πr=2·π·7≈43.9823

Answer:

A=3, B=4, C=-5

Step-by-step explanation:

So A represents the amplitude, which is the distance between the midline (C), the middle of the graph, and the maximum (or minimum). B is the distance of the period of the graph. In this case, we see that the midline is C=-5 because that is the halfway point of the sine function. We also see that the period distance is B=5-1=4, so our period would be 2π/4 or π/2. Our amplitude would be A=3 because |a|=|-5-(-2)|=|-5+2|=|-3|=3. Observe the graph to see this visually.

Answer:

Step-by-step explanation:

A

Answer:

b is the answer I believe so because it have to be greater than 0

Step-by-step explanation:

I hope it's right and if not my bad

Answer:

-1 i think

Step-by-step explanation:

Answer:

d. $681.15

Step-by-step explanation:

Bedroom 1:

Width = 10 ft

Length = 8.5 ft

Area of bedroom 1 = length × width

= 10 ft × 8.5 ft

= 85 ft²

Bedroom 2:

Width = 11.75 ft

Length = 13.25 ft

Area of bedroom 2 = length × width

= 11.75 ft × 13.25 ft

= 155.6875 ft²

Total carpet in the two bedrooms = 85 ft² + 155.6875 ft²

= 240.6875 ft²

If the

carpet he wants to buy is $2.83 per square foot, then how much will it cost for both rooms?

Total cost for both rooms = Total carpet in the two bedrooms × cost per square foot

= 240.6875 ft² × $2.83

= $681.145625

Approximately $681.15

Answer: $27.89

Step-by-step explanation:

Since the price decreases every week by 10%, its is basically being marked down to 90% of its original value. We can construct an equation for this, where we have our original value, multiply by a modifier, and raise the modifier to a power equal to the number of weeks it is on sale. Since the original price was $80, that will be 80. Since it is 10% off, we will multiply by 0.9, and since its ten weeks, we will raise the 0.9 to the power of 10.

Thus, 80×0.9^10 = 27.89

Answer:

The identity property

Step-by-step explanation:

.......

Answer:

d. 127.41

hope it helps....

Answer:

$2471.53

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r/n)^(nt), where n is the number of compoundings per year

Here,

A = ($2,400)(1 + 0.019/12)^(12·3), or

      ($2,400)(1.0015)^36

    =  ($2,400)(1.026) =

     =  $2471.53

Answer:

512 in^3

Step-by-step explanation:

It would be length x height x width = AREA

8 x 8 x 8= 512 and since its 3d it will be 512^3

Answer:

Step-by-step explanation:

23

Answer: 1/4

Step-by-step explanation:

Answer:

1/4 would be your answer.

Step-by-step explanation:

Hope this helps!, and if this Is wrong someone correct me.

Answer:

10 cm

Step-by-step explanation:

The volume of a rectangular prism is calculated by multiplying the length, width and height together. So, to find one of the dimensions, all we need to do is divide the volume by the given dimensions. In this case we divide the volume, 640, by the height, 5, and length, 8.

The width, or w, is equal to 640 divided by 5 and 8.

w = 640 ÷ 5 ÷8

w = 80 ÷ 8

w = 10

The width is 10 cm.

I hope this helps ^^ Good luck n.n

Answer:

I need help too it's so hard

Answer:

450 freshman would have internet access

Answer:

450

Step-by-step explanation:

750 student is 100% of highschool freshman so

let x be how may would be expected

x/750=60%/100%

750*60=100*x

45000=100x

x=450

Answer:

1

Step-by-step explanation: