Write an expression which can
be used to describe the area in
square units of a rectangle that
has a length of 5x3y5z2 units
and a width of 3x2yz4 units.

Answer:

1/105

Step-by-step explanation:

Total Marbles= 2+6+7=15

2/15 * 1/14 = 2/210 = 1/105

(It becomes 1/14 since you take out own red marble)

It looks like the equation is

cos(2x) + cos(x) = 0

Use the double angle identity for cosine to write this as

(2 cos²(x) - 1) + cos(x) = 0

2 cos²(x) + cos(x) - 1 = 0

Factorize the left side:

(2 cos(x) - 1) (cos(x) + 1) = 0

Then either

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

2 cos(x) = 1   or   cos(x) = -1

cos(x) = 1/2   or   cos(x) = -1

[x = cos⁻¹(1/2) + 2nπ   or   x = -cos⁻¹(1/2) + 2nπ]

…   or   [x = cos⁻¹(-1) + 2nπ]

(where n is any integer)

x = π/3 + 2nπ   or   x = -π/3 + 2nπ   or   x = π + 2nπ

We get the following solutions in the interval [0, 2π):

x = π/3   and   x = π   and   x = 5π/3

Answer: 141 degrees

Step-by-step explanation:

4000 pieces of stones needed

Explanation:

All measurements should be taken in cm unit wise

For wall:

For each stone:

Volume of the wall:

Volume of each stone:

Pieces of stone needed:

Answer:

=> 4000 pieces

Step-by-step explanation:

First change m into cm

20m -> 2000cm

2m -> 200cm

volume of wall = 2000×200×60

=> 24000000 cm³

volume of each stone = 20×30×10

=> 6000 cm³

stone needed = 24000000/6000

=> 4000 pieces

Answer:

Step-by-step explanation:

The domain is the allowed 'x' values that the function can take on without it being undefined. The natural log function is undefined for negative numbers and zero. It can only take on positive inputs. Therefore, we can set up an inequality:

[tex]3-4x > 0[/tex]

Subtrauct 3 on both sides:

[tex]-4x > -3[/tex]

Divide both sides by -4. When you divide an inequality by a negative number, you must switch the sign of the inequality:

[tex]x < 3/4[/tex]

Therefore, our allowed 'x' values is anything less than 3/4:

-∞ < x < 3/4

Answer:

2/8

Step-by-step explanation:

denominator is 8 as it's the total of the entire dice.

your numerator is 2 as you only have 1 #8 and 1 #7 so 1+1=2

answer is 2/8

Some General Information:

  ⇒ both triangles are isosceles triangle

    ⇒because two of the angles are equal to each other

       ⇒ which means there are two equal sides that always join at the

           same angle to the base (the third side), and meet directly above    

           the midpoint of the base (I attached a diagram for a better

           explanation)

Question 11:

 ⇒ x and 10 are equal

   ⇒ because their sides join the third side at the base with the same

       angle

       ⇒ so x = 10

Question 12:

 ⇒ '2x + 23' and 7 are equal

   ⇒ because their sides join the third side at the base with the same

       angle

      ⇒ so:

           [tex]2x+23=7\\2x=-16\\x = -8[/tex]

         ⇒ thus x = -8

Hope that helps!

Answer:

This question cant be determine

Step-by-step explanation:

there's no input

Answer:

5 * sqrt(3)

Step-by-step explanation:

First, find the area of the triangle. Do this by determining the height of the triangle. The main triangle is really two right triangles, so do half of it at a time. This causes the base to become one.

According to the Pythagorean Theorem, the height is the square root of 3.

The area of one half of the triangle is sqrt(3)/2, but you need to double that to find the whole triangle's area, so the whole area is sqrt(3).

Now just multiply by 5.

The answer is 5 * sqrt(3), the one you have selected in the image.

Answer:

The answer is 5550

Step-by-step explanation:

Just do

6154- 604=5550

Answer:

First one

SA = 2lw + 2lh + 2wh

Step-by-step explanation:

The area is this, it is a fact..

A=2(wl+hl+hw)

Answer:

first one

Step-by-step explanation:

SA = 2wl + 2lh + 2hw

Answer:

See below ↓↓↓↓

Step-by-step explanation:

⇒ 3

⇒ 2

⇒ 6

⇒ 4

Answer:

x = 146

Step-by-step explanation:

x and 34° are adjacent angles and sum to 180°, then

x + 34 = 180 ( subtract 34 from both sides )

x = 146

The functions f(x) and g(x) are different functions.

The function f(x) is a cubic function, while the function g(x) is a logarithmic function. The common feature of both functions is their range

The functions are given as:

f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2

This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.

From the attached graph, we have the following features:

Domain: -∞ < x < ∞

Range: -∞ < y < ∞

y-intercept = 3

x - intercepts = -2.37

Function g(x)

Domain: x > 0

Range: -∞ < y < ∞

y - intercept = None

x - intercepts = 0.01

By comparing the key features above, we can conclude that the common features in both functions are their range

Read more about functions at:

brainly.com/question/24123211

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reflections of a line or a figure across an axis does not change its lengths.

Therefore, the corresponding parts are equal.

Solving for x

Solving for y

Solving for z

Answer:

B) V= 4/3πr^3

Step-by-step explanation:

The volume of the cone according to the given condition is V = 4πr³/3

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.

Given that the height of a cone is two times its base diameter. we need to find the formula for the volume of cone in terms of base radius,

So, the volume of a cone in general is = π × radius² × height/3

According to the question,

The height is 2x the base diameter, that mean =

h = 2d

Since, d = 2r

So, h = 2(2r)

h = 4r

So the volume according to this condition is =

π × r² × 4r/3

V = π × 4r³/3

V = 4πr³/3

Hence the volume of the cone according to the given condition is V = 4πr³/3

Learn more about cones, click;

https://brainly.com/question/16394302

#SPJ7

Answer:

Number of 7th Graders= 360 - X

Step-by-step explanation:

As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from &th grade. As we know: Total number of students on the A honor roll = 360 We are asked to calculate, number of students from 7th grade on the A honor roll. So, let's assume that "X" represents the all the students who are on the A honor roll except 7th grade. Mathematical Expression: Number of 7th Graders = Total number of students on the A honor roll - X Number of 7th Graders = 360 - X So, if you know the value of X, you can easily calculate the number of students which are from 7th grade on the A honor roll.

Answer:

gang

Step-by-step explanation:

ion

Answer:

the function is subtracting 5 from the next number, the next number would be 20. If this helped please mark brainliest

Step-by-step explanation:

Answer: I got 4/7

Step-by-step explanation:

(-3,1)(4,5)[this points from graph btw]

the formula of slop is [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1} }[/tex]

[tex]\frac{5-1}{4-(-3)\\}\\ \\\frac{5-1}{4+3} \\\\=\frac{4}{7}[/tex]

Answer:

2inches=5.08cm

TSA of cylinder=2πr(r+h)

2×22/7×5.08(5.08+5.08)

6×5.08×10.16

324.42cm^3

Answer:

35 divided by 5 = 7

Step-by-step explanation:

The domain for the rational expression as given in the task content is; All real numbers except -5.

The domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.

On this note, the expression is undefined when, 3x + 15 = 0.

Hence, the domain is All real numbers except -5.

Read more on rational functions;

https://brainly.com/question/13763081

Based on the inventory on hand, the lead time, and the standard deviation, the in-stock probability will be 96.56%

To find the in-stock probability, you first need to find the Z score as:

= On-hand inventory / Standard deviation x √(lead time + 1)

Solving gives:

= 5,050 / 800 x √(11 + 1)

= 5,050 / 2,771.28

= 1.82

With a Z score of 1.82, the probability according to the Z tables will be 96.56%

Find out more on Z scores at https://brainly.com/question/25638875.

Answer:

29.7 cm

Step-by-step explanation:

Since A and B are related by a scale of 3:1 then :

3 × (hypotenuse of A) = (hypotenuse of B)

then

(hypotenuse of A) = (hypotenuse of B)/3

                              = 89/3

                              = 29.7

Answer:

30,000

Remember the hundreds place rounding rule...

Answer:

30,000

Step-by-step explanation:

the answer is 30,000 because, the three is getting rounded up or down based on the zero behind it. Since there is no way the three can round up because the zero is under five, all the numbers after it shall become a zero. But if it were a decimal, the answer would just be thirty. But the actual answer is 30,000