Dont answer this question if you dont know the answer

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:

Step-by-step explanation:

23

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:

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:

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)

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:

Step-by-step explanation:

2 units × 4 units × 8 units = 64 units³

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:

I need help too it's so hard

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: 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:

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:

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:

21064

Step-by-step explanation:

21000

+    64

-----------

21064

Answer:

The identity property

Step-by-step explanation:

.......

Answer:

A or D is tge correct awnser

Answer:

Area  =  4073.1429 mm²

Step-by-step explanation:

Input Data :

Radius = 36 mm

Objective :

Find the area of the circle.

Solution :

Area = πr2

= 3.14 x (36)2

= 3.14 x (1296)

Area = 4073.1429 mm²

Answer:

Step-by-step explanation:

A

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: [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:

270 s

Step-by-step explanation:

4 minutes = 240s

add the other 30s

boom

Answer:

the answer is D. x=-7

E. x=4

Answer:

jimmy got 30,000

Step-by-step explanation:

10,000

the wife got 60% = 60,000

jimmy got 3x prince = 30,000

prince = 10,000

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: 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.

[tex]\Large{\underline{\mathcal{Given: }}}[/tex]

radius = 12m

volume = ❓

[tex]\Large{\underline{\mathcal{solution :}}}[/tex]

volume of a sphere:

☞4/3 πr³ cu.units

☞4/3 × 22/7 × 12 × 12 × 12

☞ 7214 m³