How do you find the volume of a sphere

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

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:

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: $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:

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:

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:

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:

g

Step-by-step explanation:

Answer:

g is the answer trust me all the best

Answer:

270 s

Step-by-step explanation:

4 minutes = 240s

add the other 30s

boom

Answer:

Step-by-step explanation:

A

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:

-1 i think

Step-by-step explanation:

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: 68

Step-by-step explanation:

Simplifying the expression:

= 8a² + 6b + 9a² + 9b² + 3b

Collect like terms

= 8a² + 9a² + 6b + 3b + 9b²

= 17a² + 9b + 9b²

We then substitute a=2,b=−1.

= 17a² + 9b + 9b²

= 17(2)² + 9(-1) + 9(-1)²

= 68 -9 + 9

= 68

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'm pretty sure it's 18 degrees

Step-by-step explanation:

Answer:

I need help too it's so hard

Answer: (6, -30)

Step-by-step explanation:

Substitute the points into the equation:

3.5 = -1/2(1^3) - 3(1) + 7 = 3.5: (1, 3.5) is on the graph.

-60.5 = -1/2 (9^2) -3(9) + 7 = -60.5: (9, -60.5) is on the graph.

-1 = -1/2 (-8^2) -3(-8) + 7 = -1. (-8, -1) is on  the graph.

-30 = -1/2(6^2) -3(6) + 7 = -29 (6, -30) is not on the graoh.

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

[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

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: 32 matches

Step-by-step explanation:

Let the games in total that the baseball team played be represented by x.

Based on the information given in the question, we can form an equation as:

62.5% × x = 20

62.5/100 × x = 20

0.625 × x = 20

0.625x = 20

x = 20/0.625

x = 32

The team played a total of 32 matches.

Answer:

1 hour and 43 min

Step-by-step explanation:

I TOOK THE TEST IN K12

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:

A, C, and D

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: this is an arithmetic sequence and the common difference is equal to -4

Step-by-step explanation: