find the value of x in the below complementary angle 3x(5x+2)​

The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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Answer:

Step-by-step explanation:

...

...

..

..

......

Answer:

∠A = 20

Step-by-step explanation:

Given:

Vertical angles

∠A=x

and

∠B=5x−80

Find:

∠A

Computation:

∠A = ∠B

x = 5x - 80

4x = 80

x = 2o

∠A = 20

Answer:

A=20

Step-by-step explanation:

Answer:

It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10

Step-by-step explanation:

In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.

• Take the products of both functions.

f(x)g(x) = 3x²+5 • x-2

• Next, expand the functions. We expand by combining like terms.

= 3x^3 - 6x^2 + 5x - 10

Since the function cannot be simplified further, this leads to option B being our answer.

Hope this helps!

Answer:

42/11

Step-by-step explanation:

11/7 = 6/v

cross multiply:

11v = 6x7 = 42.

v = 42/11 ≈ 3.81

Answer:2

Step-by-step explanation:

For given functions, The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

What is the definition of a function?

A function is a mathematical rule that gives each input value a distinct output value. A function is officially defined as a collection of ordered pairs (x, y) in which each input value x is coupled with exactly one output value y. The domain of the function refers to the input values, while the range refers to the output values. A graph, table, equation, or verbal explanation can all be used to depict a function. When the input value is x, the notation f(x) is commonly used to express the output value of a function f.

Now,

From given function f(x) and g(x)

For f(x) when x=0 then y=1 or y-intercept=1

for g(x), the y-intercept is 1 from equation y=4x+1

and slope of g(x)=4

and slope of f(x)=(11-1)/(2-0)

=10/5

=2

Hence,

           The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

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Answer:

Step-by-step explanation:

x = 3

Step-by-step explanation:

\({ \blue{ \sf{n(x) = 4x + 4}}}\)

\({ \blue{ \sf{16 = 4x + 4}}}\)

\({ \blue{ \sf{16 - 4 = 4x}}}\)

\({ \blue{ \sf{12 = 4x}}}\)

Divide both the sides with 4

\({ \blue{ \sf{ \frac{12}{4} = \frac{4}{4}x}}}\)

\({ \green{ \boxed{ \red{ \sf{x = 3}}}}}\)

Answer:

45

Step-by-step explanation:

9x1=9

9x2=18

9x3=27

9x4=36

9x5=45

The value of x is 6

A line segment can be defined as the partition formed by end points of a line.

From the information given, we have that line JL is the line with segments JK, KL and JL and K and the midpoint between J and L

This can be represented as;

JK + KL = JL

Where;

Substitute the values into the formula, we have;

5x -8 + 7x - 12 = 52

Now, collect like terms

12x = 52 + 20

Add like terms

12x = 72

Make 'x' the subject of formula

x = 72/12

x = 6

Thus, the value of x is 6

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Step-by-step explanation:

Let the speed of the current be c km/h.

When the ship sails with the current, its effective speed is (50 + c) km/h.

When the ship sails against the current, its effective speed is (50 - c) km/h.

We know that the distance traveled is the same in both cases, which is 60 km.

Let's use the formula:

time = distance / speed

When sailing with the current, the time taken is:

60 / (50 + c)

When sailing against the current, the time taken is:

60 / (50 - c)

We know that when sailing against the current, it takes 0.5 hours more time than when sailing with the current:

60 / (50 - c) = 60 / (50 + c) + 0.5

Simplifying the equation, we get:

60(50 + c) = 60(50 - c) + 0.5(50^2 - c^2)

3000 + 60c = 3000 - 60c + 1250 - 0.5c^2

Simplifying further,

120c = 1250 - 0.5c^2

0.5c^2 + 120c - 1250 = 0

Solving the quadratic equation by factoring or using the quadratic formula, we get:

c = 10 km/h (ignoring the negative root)

Therefore, the speed of the current is 10 km/h.

Answer: 50km/h, 60km, 0.5 hr

Step-by-step explanation:

The new coordinates of the image of the shape are

The picture of the graph showing the image is attached

The rule for 90 degrees clockwise rotation is

(x, y) becomes (y, -x)

The rule involves interchanging the coordinates of the ordered pair such that x takes the place of y and y tales the place of x and a change of sign

performing the rotation we have the new coordinates as below

(2, 3) becomes (3, -2)

(2, 2) becomes (2, -2)

(4, 2) becomes (2, -4)

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9514 1404 393

Answer:

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

__

a) For 1 km, the time in hours is ...

  time = (1 km)/(3.5 km/h) = 1/3.5 h = 2/7 h

In minutes, that is ...

  (60 min/h)(2/7 h) = 120/7 min = 17 1/7 min . . . . time for 1 km

__

b) The time for 10 km is 10 times the time for 1 km, so will be ...

  (10)(2/7 h) = 20/7 h = 2 6/7 h

In hours and minutes, that is 2 hours and (6/7)(60 min) = 360/7 min = 51 3/7 min.

The time for 10 km is 2 hours 51 3/7 minutes.

Cara's first error was not 7 - 13, leading to an incorrect result of -32.

Cara's first error was that she did not evaluate (Negative 4) squared.

The expression in question is not provided, so let's assume it is "6 - 2 × (-4)² + 7 - 13".

According to the order of operations (PEMDAS/BODMAS), we evaluate operations inside parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

To evaluate the expression correctly, we follow the order of operations:

Evaluate the exponent (-4)².

Since (-4) squared is positive, (-4)² = 16.

Multiply 2 and 16.

2 × 16 = 32.

Evaluate the addition and subtraction from left to right.

6 - 32 + 7 - 13.

At this point, we see that Cara did not evaluate 7 - 13.

Therefore, her first error was not evaluating the subtraction correctly.

Continuing the evaluation:

6 - 32 + 7 - 13 = -32.

So, Cara's first error was not evaluating 7 - 13, leading to an incorrect result of -32.

It's important to carefully follow the order of operations to ensure accurate evaluations of mathematical expressions.

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Answer:

R/= se volveran a encontrar el 30 de diciembre

Step-by-step explanation:

voy a sacar el m.c.m :

8  10 =2  

4  5 =2

2  5 =2               2x2x2x5= 8x5 =40

1  5 = 5

1  1 =

Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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The angle between 0° and 360° that is coterminal with -160° is 200 degrees.

Two different angles that have identical starting and ending edges are termed coterminal angles however since one angle is measured clockwise and the other is determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

It is given that:

The angle is -160 degrees

An example of a positive coterminal angle would be 360-160=200 degrees since angles always travel either counterclockwise or clockwise from the +x axis.

There can be an unlimited number of rotations and hence infinite coterminal angles because there is no range.

= -160 + 360 = 200 degrees

= 200+ 360n

= -160 - 360n degrees

Thus, the angle between 0° and 360° that is coterminal with -160° is 200 degrees.

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The algebraic expression is x - 16/ 7. Option B

An algebraic expression is a mathematical statement containing a combination of numbers, symbols, variables and mathematical operators such as addition, subtraction, multiplication, division, etc.

From the information given, we have to find the algebraic expression for the statement  "the quotient of 16 and 7 less than x"

It could be represented thus;

x - 16/ 7

We can see that the algebraic expression is represented as x - 16/ 7

Hence, the algebraic expression is x - 16/ 7. Option B

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Answer:

3 counting ALL VOWELS, or, 2 counting no double ups

Step-by-step explanation:

vowels - a, e, i, o, u

Answer: 275,400

Step-by-step explanation:

- First we do 18 multiplied by 20 which would get us the answer of 360

- Next we do 45 multiplied by 17 which would get us the answer of 765

- Now we multiply both 360 and 765 and get the answer of 275,400

Answer:

de eitcukqrncjakgkciwitjfuqjrjcjwjtjfkwjtkckskrkchakrjfnrjcjdnsnfncdn

Answer:

the answer is c for the second one and the first one is A

Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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Answer:

I think m= +or- 31.623

Step-by-step explanation:

divide 100k by 100 then square root. its a quadratic so 2 answers

Answer:

3

Step-by-step explanation:

in the image Attached

......

Answer:

3

Step-by-step explanation:

Prime factorize both numbers :

The GCF is the highest common term that both terms share.

Hence,

Answer:

There are 28 red marbles and 56 green marbles in the bag.

Step-by-step explanation:

Let's define:

R = number of red marbles in the bag.

G = number of green marbles in the bag.

We know that:

"There is a total of 84 marbles in the bag"

Then we can write this as:

R + G = 84

"The bag has twice as many green marbles as red marbles"

Then:

G = 2*R

So we have two equations:

R + G = 84

G = 2*R

This is the system of equations we need to solve.

To solve this, we usually start by isolating one of the variables in one of the equations, here we can see that G is already isolated in the second equation, then we can ignore the first step.

Now that we have an isolated variable, we can replace it in the other equation, then we can replace the second equation in the first one to get:

R + G = 84

R + (2*R) = 84

3*R = 84

R = 84/3 = 28

This means that there are 28 red marbles in the bag.

Now we can use the equation:

G = 2*R

To find the number of green marbles, where we need to replace R y 28, then we get:

G = 2*28 = 56

Which means that there are 56 green marbles.

Answer:

100°

Step-by-step explanation:

The sum of the angles in a triangle is 180°

180°-30°-50°=100°