This diagram shows the dimensions of a plastic tab
used in a toy
What is the volume of the plastic tab?
Enter your answer in the box.

The area of the triangle is 97.07 units².

Given is a triangle we need to find the area,

So, let the triangle be ABC and the altitude be AD.

Using the trigonometric ratios,

Sin 52° = AB / AD

Sin 52° = 9 / AD

AD = 9 / Sin 52°

AD = 11.42

Now,

Tan 26° = DC / AD

Tan 26° = DC / 11.42

DC = 5.56

Also,

Cos 26° = AD / AC

Cos 26° = 11.42 / AC

AC = 12.7

BC = 11.42 + 5.56

BC ≈ 17

Now, the sides are BC = 17, AC = 12.7 and AB = 9,

The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42

= 5.71 x 17

= 97.07

Hence the area of the triangle is 97.07 units².

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Answer:

500,000 + 80,000 + 2,000 + 30

Answer:

d my friend

Step-by-step explanation:

Answer:

  x = 4

Step-by-step explanation:

You want to know the value of x in the arithmetic sequence x, 2x+4, 5x.

Terms of an arithmetic sequence have a common difference. This means ...

  (2x+4) -x = 5x -(2x+4)

  x +4 = 3x -4 . . . . . . . . . . simplify

  8 = 2x . . . . . . . . add 4-x

  4 = x . . . . . . divide by 2

The value of x is 4.

__

Additional comment

The common difference is x+4 = 8. The sequence is ...

  4, 12, 20, ...

Answer:

A = Length × breath

A = 3 × 7

A = a × 4

A = m × m

Answer:

96 and 288

Step-by-step explanation:

So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).

Such order independent pairs are (1,7) and (3,5).

Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.

The differences are 6*48=288 and 2*48=96.

We have found difference without finding numbers.

Ans.: 96 and 288

p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)

Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.

Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.

Answer:

x=11

Step-by-step explanation:

b/the part of the angle is a total of 53 degrees and 6(11)-13=53

The expression is factorized to give (x + 7) and (x + 7)

Factorization described a mathematical methods that consists of writing a number or mathematical object as a product of several other factors that are mostly simpler or smaller objects of the same kind.

Given the quadratic equation;

x² + 14x +49

Find the pair factors of 49 that sum up to 14, the numbers are 7 and 7

Now, substitute the numbers in the expression

x² + 7x + 7x + 49

Make into two expressions, we have;

(x² + 7x) + (7x + 49)

factor out the common terms, we get;

x(x + 7)+ 7(x + 7)

Then, we have;

(x + 7)

(x + 7)

Hence, the factorized form is (x + 7) and (x + 7)

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Answer:it’s 1/4

Step-by-step explanation:

The slope of the function is m = -3.5, which indicates that the temperature decreases by 3.5 degrees for each 1000 feet increase in elevation.

The temperature at Sea level is 87 °F

The slope of a straight line function is the ratio of the rise to the run of the function.

Parts of the question that appear missing includes; The slope and the temperature at Sea level is required.

A point on the table of the graph is that at 4 feet, the temperature is 73 °F

The rate at which the the temperature changes = -3.5 °F  per 1,000 feet

The slope of the equation is therefore;

y - 73 = -3.5·(x - 4)

y = -3.5·x + 14 + 73 = -3.5·x + 87

y = -3.5·x + 87

The equation of the the line of the temperature above Sea level is an equation of a straight line, which is of the form; y = m·x + c

Where;

m = The slope of the function

By comparison, the slope of the equation of the line the function is; m = -3.5

The temperature at Sea level, which is the y-intercept is found at the point where x = 0, which gives;

y = -3.5 × 0 + 87 = 87

The temperature at Sea level is 87 °F

The slope of line of the graph of the function, m = -3.5

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Answer:

there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Step-by-step explanation:

The counting principle states that if there are n ways to do one thing and m ways to do another, then there are n x m ways to do both.

In this case, we want to determine how many ways we can select 3 batteries out of 6. Using the counting principle, we can break down the selection process into three steps:

Select the first battery. There are 6 choices for the first battery.

Select the second battery. There are 5 choices left for the second battery, since we've already selected one.

Select the third battery. There are 4 choices left for the third battery.

Using the counting principle, we can multiply the number of choices for each step to get the total number of ways to select 3 batteries:

6 x 5 x 4 = 120

Therefore, there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Answer:

Step-by-step explanation:

1) (x) is economy class and (y) is first class

2) The objective function is to avoid making a loss in prophet making the train have the avalibility  for 10 economy class passengers and at least 20 first class passengers.

3) The constraints are that there are only 10 spots for economy class and at least 20 for first-class passengers.

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

The value of y is 6√3 unit.

Option B is correct.

The Pythagorean theorem, or Pythagorean theorem, illustrates the relationship between the three sides of a right-angled triangle. The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.

From the given figure using Pythagoras theorem

H² = 6² - 3²

H² = 36 - 9

H²  = 27

H = 3√3 unit

Now, again using Pythagoras theorem

y² = 9² + ( 3√3)²

y² = 81. + 27

y = √108

y = 6√3 unit

Thus, the value of y is 6√3 unit.

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Answer:

I hope this is the correct solution

Step-by-step explanation:

slope=1-4/6-5= -3/1=-3

Answer:

C.   AB=10.56, BC=7.68

Step-by-step explanation:

AB) 8.8x7.32÷6.1=10.56

BC) 6.4x7.32÷6.1=7.68

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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The percent of increase from 60 to 70 rounded to the nearest percent is 17%.

Percent​ increase is simply the amount of increase from the initial value to the new value in terms of 100 parts of the initial value.

It is expressed as;

C = ((x₂ - x₁) / x₁)100%

Where x₁ is initial value and x₂ is new value

Given that;

Plug in the given values and solve for C.

C = ((x₂ - x₁) / x₁)100%

C = ((70 - 60) / 60) × 100%

C = ( 10 / 60) × 100%

C = 1/6 × 100%

C = 17%

Therefore, the percentage increase is 17%.

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Option A correctly describes the area of the graph of the function.

How is an area of the graph calculated?

The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.

It is the integration of the function polynomial of the possible values of x that the function curve lies in.

Here the function equation is : \(f(x) = ( 25 - x^{2} )\)

From the figure, we can see that the value of x varies from -5 to 5.

Initial x-value of integration = minimum value of x

                                          = -5

Final x-value of integration = maximum value of x

                                          = 5

Thus, the area of the graph can be correctly calculated as. :

               \(Area = \int\limits^{maxX}_ {minX} \, f(x)dx\)

               \(Area = \int\limits^5_ {-5} \, (25-x^{2} )dx\)

Hence, Option A correctly calculates the area of the graph given.

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Answer:

the answer is -1

Step-by-step explanation:

Answer:

The answer is -1

Step-by-step explanation:

If you have 3 and you take away 4, so you end up with a negative number. or what you can do is also just flip the numbers around so subtract 4 minus 3 and put a negative sign when the first number is less than the second one!!

Hope this helps!!!!

1. P=2.625

2. variable= p

3. operator= subtraction

4. constants= -10, 32

5. coefficients= 16p

6. 5w + 50 = 150    w=20

Answer:

the answer is B) 24.

Step-by-step explanation:

To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.

Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:

3 cm + 4 cm + 5 cm = 12 cm

The height of the prism is given as 2 cm. Therefore, the lateral surface area is:

12 cm x 2 cm = 24 cm²

So the answer is B) 24.

IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you

1) slope is 125 y int is 400

y=125x+400

2) 125(53) + 400

7025

Answer:

a) y=25x+200

b) 25(53)+200 = 1525

Step-by-step explanation:

1) A linear equation would mean you need y=mx+b

2) Check how much it's being added per 5 x's then put it into the "M" (m=25)

3) Use your new m to subtract to find "B" (b=200)

4) Solve everything with your equation.

Answer:

\(106 \frac{3}{5}\)

Explanation:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

\(\frac{26}{5} \times \frac{-31}{3}\)

Next, apply the fractions formula for multiplication. Formula below:

\(\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d}\)

\(= \frac{26 \times -41}{5 \times 2}= \frac{-1066}{10}\)

Simplifying -1066/10, (you can do this by using division) the answer is:  

\(106 \frac{3}{5}\)

Answer:

-3 1/3

Step-by-step explanation:

5 2/10 x -10 1/3

10/10 x -10/3

1 x-10/3

-10/3

-3 1/3

your question is unclear. I think I understand it correctly

Answer:

86/3

Step-by-step explanation:

28.6

The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.

The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.

The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.

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Answer:

1 5/8

Step-by-step explanation:

I believe the answer to your quesrion is 1 5/8.

I hope this helps you!