Hey sphere has a diameter of 18 inches what is the volume of the sphere

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ1

The expressions on the left matched with the simplified form on the right:

-(-9) = 9

|-9| = 9

-|9| = -9

|9| = 9

-|-9| = -9

Mathematical rules to simplify the expressions:

a negative sign multiplied by a negative sign is equal to a positive sign

a positive sign multiplied by a negative sign is equal to a negative sign.

a positive sign multiplied by a positive sign is equal to a positive sign.

Also, this sign | | indicates that the number is positive.

Therefore,

-(-9) = 9

|-9| = 9

-|9| = -9

|9| = 9

-|-9| = -9

To learn more about addition, please check: brainly.com/question/349488

#SPJ1

Answer:

y = -2(50) + 20  

y = -100 + 20 = -80

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

Answer:

1the answer for this is easy it is 4.4

Answer:

x = 23

Step-by-step explanation:

A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.

2x + 3x + 1 + 3x - 5 = 180

8x - 4 = 180

8x = 184

x = 23

The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In triangle ABC,

As, the sum of all the angles of triangle is equal to the 180 degree. Thus,

\(m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o\)

Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

Learn more about the triangle angle sum theorem here;

https://brainly.com/question/7696843

#SPJ2

Answer:

54.308 kilograms

Step-by-step explanation:

Answer:

that's your answer

Answer:

C

Step-by-step explanation:

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

To know more about Integral.

https://brainly.com/question/27419605

#SPJ8

Airplane 1 had the fastest rate of descent during its landing.

To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.

Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:

-130 ft/s × 60 s/min = -7800 ft/min

Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:

(-97/8) ft/s × 60 s/min = -729.375 ft/min

Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:

-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)

Therefore, Airplane 1 had the fastest rate of descent during its landing.

for such more question on rate

https://brainly.com/question/16981791

#SPJ11

Answer:

---------------------------------

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Answer:

y represent the number of weeks

Step-by-step explanation:

Given expression

x - 2y

The veterinarian suggested that the overweight large-breed lose 2 pounds of its weight per week .

Let

x = initial weight

The overweight large-breed lose 2 pounds per week .

After first week of the weight loss

( x - 2)

The weight loss after one week = x - 2

The weight lost after 2 weeks

x - 2(2)

The weight lost after 2 weeks = x - 2(2)

The weight lost after y weeks

x - 2(y)

Where y = number of weeks

x - 2y

The weight lost after y weeks = x - 2y

Therefore, y represent the number of weeks

Answer:

No Solution: Top- left, Top, Right

One Solution: Top - middle, Bottom -Middle, Bottom - right.

Infinitely Many solutions: Bottom- left,

Explanation:

If an equation has one solution, then the left-hand side of the equation does not equal the right-hand side.

If an equation has no solution then the slopes are the same for right and left equations; however, the intercepts are not the same. For example 3x -3 = 3x -5 has no solutions.

If an equation has infinitely many solutions, then the equation on the right is equal to the equation on the left. For example, 4x +5 = 2x + 2x + 5 which implies to 4x + 5 = 4x + 5 and therefore, it has infinitely many solutions.

With this knowledge in mind, we simplify each of the equations given.

For example, for the equation on the Top- left

Simplifying both sides (adding like terms ) gives

The expressions on both sides of the equality sign have the same slopes but different y-intercepts; therefore, this equation has no solutions - when graphed lines 5u + 40 and 5u - 3 will never intersect.

The same goes for other equations, and in simplifying them we get the answers:

No Solution: Top- left, Top, Right

One Solution: Top - middle, Bottom -Middle, Bottom - Right.

Infinitely Many solutions: Bottom- left,

Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Answer:

32.2 km

Step-by-step explanation:

Answer:

32.1869

Step-by-step explanation:

for an approximate result, multiply the length value by 1.609

Answer:

Solution

verified

Verified by Toppr

m

2

−3m−1=0

m

2

−3m=1 → (1)

Third term =(

2

1

coeeficientofm)

2

(

2

1

×(−3))

2

=(

2

−3

)

2

=

4

9

Adding

4

9

to both sides of equation (1), we get

m

2

−3m+

4

9

=1+

4

9

∴ m

2

−3m+

4

9

=

4

4+9

∴ (m−

2

3

)

2

=

4

13

Taking square roots on both sides

∴ m−

2

3

=±

2

13

∴ m=

2

3

+

2

13

or m=

2

3

−

2

13

m=

2

3+

13

,

2

3−

13

are the roots of the given quadratic equation.

Answer:

About 7 minutes

Step-by-step explanation:

3 minutes + 4 minutes= 7 minutes memory used for two songs

Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

Learn more about complex number here:

https://brainly.com/question/5564133

#SPJ1

Answer:

10(x + 30)

Step-by-step explanation:

10x + 300

Both terms have 10 in common, so you can factor out 10.

10x + 300 = 10(x + 30)

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

Read more about Area of shaded portion at: https://brainly.com/question/1297097

#SPJ1

Population of this survey is community service group.

Population in statistics is a set group of individuals from which a statistical sample is drawn for a survey or study.

Kitchen Guillermo randomly surveys 15 members of his community service group and gains ideas for the next community service project.

The population of his survey is community service group.

Out of his community he select just 15 members as a sample for his survey.

Hence, population of this survey is community service group.

Complete question:

Guillermo randomly surveys 15 members of his community service group to gain ideas for the next community service project. What is the population of this study?

Learn more about population here:

https://brainly.com/question/11999222

#SPJ9

I assume the set A referred to among all the answer choices is actually supposed to be B, or the other way around so that

A = {1, 2, 3, {4, 5, 6, {7}}, 8}

A has 5 elements:

• 1

• 2

• 3

• {4, 5, 6, {7}}

• 8

Any non-empty subset of A is a set containing at least one of these elements.

The fourth element listed above, {4, 5, 6, {7}}, is itself a set with 4 elements (4, 5, 6, and yet another set {7} that contains just the 1 element 7).

Now,

• { } ⊆ A is true - the empty set is subset of every set

• {2, 3} ⊆ A is true - both 2 and 3 are elements of A, so {2, 3} is a subset of A

• {4, 5, 6, {7}} ⊆ A is false - the set {4, 5, 6, {7}} is an element of A, but not a subset

• {{2, 3}} ⊆ A is false - 2 and 3 are elements of A, but the set {2, 3} is not an element of A, so {{2, 3}} is not a subset

• {{4, 5, 6}, 8} ⊆ A is false - the set {4, 5, 6} is not an element of A

• {{4, 5, 6, {7}}} ⊆ A is true - the set {4, 5, 6, {7}} is an element of A

Answer:

23

Step-by-step explanation:

im sorry i just  want some points but look it up im sure youll figure it out !

Answer:

86,016

Step-by-step explanation:

There are 64 blocks on each layer so

1344 x 64

The area of the base of each pyramid is x² inches.

The correct option is B.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.

Given:

A sound roofing is made of 8 identical solid right pyramids with square bases.

The length of the whole tile shown is x inches.

And the tile is squared in shape.

So,

the base area of the tile is x² inches.

Hence, the base area of the tile is x² inches.

To learn more about the pyramid;

https://brainly.com/question/17615619

#SPJ1

The base area of the prism is 2x² + 5x - 18

From the question, the given parameters are

Volume = 2 x cubed + 9 x squared minus 8 x minus 36

Height =  x + 2

Rewrite properly as

Volume = 2x³ + 9x² - 8x - 36

Height =  x + 2

The base area is calculated as

Base area = Volume/Height

Using the synthetic division, we have

Set the divisor to 0

x + 2 = 0

This gives

x = -2

So, we have the representation to be

-2 | 2   9  - 8  - 36

Write out 2

So, we have

-2 | 2   9  - 8  - 36

     2

Multiply 2 and -2

This gives

-2 | 2   9  - 8  - 36

          -4

     2

So, we have

-2 | 2   9  - 8  - 36

          -4

     2    5

Repeat the process

So, we have

-2 | 2   9  - 8  - 36

          -4  -10

     2    5   -18

Repeat the process

So, we have

-2 | 2   9  - 8  - 36

          -4  -10   36

     2    5   -18    0

This means that

Base area = 2x² + 5x - 18

Read more about synthetic division at

https://brainly.com/question/24629353

#SPJ1

Answer:

1/4

Step-by-step explanation:

As far as I can tell, your graph is correct.

If you look at the x-axis of the graph, you'll see that the graph crosses it when x is 0, 1, 2, 3, and 4. The asymptotes are halfway in between these points, so if you find the midpoints between each set of points, you'll get 0.5, 1.5, 2.5, and 3.5. These are your answers.

Step-by-step explanation: