help the question is on the image.​

Help The Question Is On The Image.

Answers

Answer 1

Answer:

[tex]\boxed {tan\theta = \frac{2}{3}}[/tex]

Step-by-step explanation:

Let's derive a formula :

⇒ Area (triangle) × 3 = Area (square)

⇒ 1/2(bh) × 3 = a²

∴ But a = h (shown in diagram)

⇒ 3/2(bh) = h²

⇒ h = 3b/2

Now, taking tan θ :

⇒ tan θ = b/h

⇒ tan θ = b/(3b/2)

⇒ tan θ = 2b/3b

tan θ = 2/3


Related Questions

What is the formula for capacity of a prism?

Answers

Answer:

The prism volume formula is B*h B (area of one end) =0.5*1000*566 = 283,000 mm 2 (area of a triangle) H (length/height of prism) = 1000 mm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any prism volume is equal to the area of the base (B) multiplied by the height of prism (H)  

V = BH

Now, to find the area of the base you need this formula : B = 1/2 h(b1+b2), then multiply by the height of the prism.

Which of the following best describes the folding method needed to create a
perpendicular line segment?
A. Fold tracing paper at a point on the line segment and twist it, creating an acute angle.
B. Fold tracing paper at a point on the line segment and extend the line segment indefinitely.
C. Fold tracing paper at a point not on the line segment so that the line segment lies upon itself.
D. Fold tracing paper so that the line segment's endpoints line up with each other.

Answers

Fold tracing paper so that the line segment's endpoints line up with each other ,  Option D is the correct answer.

What is a Perpendicular ?

A perpendicular is a line drawn at 90 degree to a given line or line segment .

Fold tracing paper so that the line segment's endpoints line up with each other.

After drawing a line segment ,

when the end point will be on each other and a crease will be made by pressing the paper , The crease formed will be perpendicular to the line segment.

Therefore,  Option D is the correct answer.

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Answer:

The correct answer is C.

Step-by-step explanation:

Fold tracing paper so that the line segment's endpoints line up with each other.

On a map 1/4 inch between represnts an actual distance of 2 miles between the location what is the actual distance in miles between two cities that are 3 3/4 inch apart on the map

Answers

Answer:

30 miles is the actual distance.

Step-by-step explanation:

3 3/4 = 15/4

15*2=30

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?

Answers

All potential rational roots of f(x) = 15x¹¹ - 6x⁸ + x³ - 4x + 3, going by the rational rots theorem are {±1, ±1/3, ±1/5, ±1/15, ±3, ±3/5}.

The rational root theorem suggests that for a polynomial function

f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x¹ + a₀, all potential rational roots can be given by the formula p/q, where p is the set of all factors of ±a₀ and q is the set of all factors of ±aₙ.

In the question, we are asked to find the potential rational roots of

f(x) = 15x¹¹ - 6x⁸ + x³ - 4x + 3.

Comparing the given polynomial function with the standard polynomial function f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x¹ + a₀, we can say aₙ = 15, and a₀ = 3.

By rational root theorem, we know that all potential rational roots can be given by the formula p/q, where p is the set of all factors of ±a₀ and q is the set of all factors of ±aₙ.

Therefore, we can say that p = {factors of ±3} and q = {factors of ±15},

or, p = {±1, ±3}, q = {±1, ±3, ±5, ±15}.

Now, we can write all potential roots by calculating p/q.

p/q = {±1, ±1/3, ±1/5, ±1/15, ±3, ±3/5}

Therefore, all potential rational roots of f(x) = 15x¹¹ - 6x⁸ + x³ - 4x + 3, going by the rational roots theorem are {±1, ±1/3, ±1/5, ±1/15, ±3, ±3/5}.

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x = 4 is a solution to x + 2 > 5.

true or false

Answers

Answer:

False

Step-by-step explanation:

Beacuse the equation is 4+2>5 with equals 7

Answer:

x = 4 ...In the equation, substitute 4

4 + 2 > 5

6 > 5

(This sign > means greater than)

(This sign < means less than)

In this case of the equation, 6 > 5, it's True

when you purchase a new car, what kind of tax will you usually pay

Answers

Answer:

Whether you're buying a new car or a used car, or even leasing a car, you'll have to pay state sales tax. Nearly every state has a sales tax, ranging from under 3 percent to over 8 percent. The national average in the United States is 5.75 percent.

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The gravel path is 5.6 cm long

Answers

What about the grass

Solve for k in g=k-a.​

Answers

Answer:

k = g + a

Step-by-step explanation:

g = k - a ( add a to both sides )

g + a = k , that is

k = g + a

Which set of ordered pairs represent a line that is perpendicular to the given set: (1,8)
(2,10)?

Answers

Using linear function concepts, it is found that a set of ordered pairs with a slope of [tex]-\frac{1}{2}[/tex] is perpendicular to the given set.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two sets are perpendicular, the multiplication of their slopes is -1. The set (1,8) and (2,10) has slope given by:

m = (10 - 8)/(2-1) = 2.

Then, for the perpendicular set:

2m = -1

m = -1/2.

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Can you solve this question and explain it for me? Thank you

Answers

By direct observation on the graph and concept of relative minimum, we conclude that the relative minimum of the graph is contained by the point (x, y) = (3, - 17).

How to determine the relative minimum of a given graph

Let be f a function that exists in a interval [a, b], there is a value c such that f(c) < f(x), for x ≠ c and x ∈ [a, b]. In this case, f(c) is the relative minimum of f. By direct observation, we find that the relative minimum of the graph is contained by the point (x, y) = (3, - 17).

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If the sales tax on a $825 television set is 7%, how much will you pay in total?

Answers

Answer:

$882.75

Step-by-step explanation:

825 x 7% = 57.75 <- thats the price of the tax

57.75 + 825 = 882.75

can someone please help mee

Answers

Answer:

0,5                    b

Step-by-step explanation:

Solve the equation 4 sin x - cosec x =cot x for 0° < x < 360°. ​

Answers

For this question, I will be writing 'csc' instead of 'cosec'

[tex]4\sin x-\csc x=\cot x\\\\4\sin x-\frac{1}{\sin x}=\frac{\cos x}{\sin x}\\\\4\sin^{2} x-1=\cos x\\\\4(1-\cos^{2} x)-1=\cos x\\\\4-4\cos^{2} x-1-\cos x=0\\\\4\cos^{2} x+\cos x-3=0\\\\ (4\cos x-3)(\cos x+1)=0\\\\\cos x=\frac{3}{4}, 1\\\\\therefore \boxed{\cos^{-1} \left(\frac{3}{4} \right), 180^{\circ}, 360^{\circ}-\cos^{-1} \left(\frac{3}{4} \right)}[/tex]

g(x) =2x+3, find g(-3)

Answers

The value of g(-3)=-9

The function is a relation between two sets X and Y which are one-one or many-one. Here set X is called the domain and set Y is called codomain.

For example: f(x)=3x+9

To get the value of the function at any point of x, we have to put the number in the function to get its function value.

For example the value of f(x) in above function at x=a will be f(a)=3a+9

Similarly given function in the question

g(x)=2x+3

to get the value of g(x) at x=-3 put the value of x in the function,

g(-3)= 2(-3)+3 = -3

Therefore the value of g(-3) is -3.

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(9x + 1) − (−7x² + 4x + 10)

Answers

Answer:

7x² + 5x - 9

Step-by-step explanation:

(9x + 1) - (- 7x² + 4x + 10) ← distribute parenthesis by - 1

= 9x + 1 + 7x² - 4x - 10 ← collect like terms

= 7x² + 5x - 9

Find the value [[23]] (step functions) helpp pls im so confused if you could also explain it :3

Answers

I assume [[x]] stands for "the largest integer smaller than or equal to x".

If x is already an integer, then x itself satisfies the definition. 23 is an integer that is equal to 23. So [[23]] = 23.

Which polynomial is equal to the sum of polynomials 1 and 2?
Polynomials 1 and 2 are represented below with tiles.
Polynomial 1
X²X²

Polynomial 2
A. 2x²+2x+1
OB. 5x² + 4x+6
OC. 7x² +6x+7
OD. 7x² +6x+5

Answers

The polynomial 7x² + 6x + 7 is equal to the sum of polynomials 1 and 2.

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved. Example, x² + 3x + 5.

As per the given informations, the first polynomial is 2x² + 2x + 1.

The second polynomial equal is 5x² + 4x + 6.

Now, the sum of the two polynomial can be written as,

Sum = 5x² + 4x + 6 + 2x² + 2x + 1 = 7x² + 6x + 7

Therefore, the polynomial 7x² + 6x + 7 is equal to the sum of polynomials 1 and 2.

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What is the value of x/2 + 4 when x = 6?

Answers

Step-by-step explanation:

solution:

here,

x/2+4

= 6/2+4 ( x = 6 )

= 3+4

= 7

Answer:

7

Step-by-step explanation:

x/2 + 4

=> 6/2 + 4 (x=6)

=> 3 + 4

=> 7

A small company manufactures picnic tables. The daily fixed cost is 1,200 and the variable cost is $45 per table. How many picnic tables can be produced for a total daily cost of 4,800.

Answers

Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:

C(n) = 1200 + 45n.

Now, we have to solve for n when C(n) = 4800, hence:

1200 + 45n = 4800

45n = 3600

n = 3600/45

n = 80.

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Which of the following is the appropriate notation when calculating
conditional probabilities?
A. P(EF)= P(E)+ P(F)- P(EUF)
B. P(EIF)=P(EnF)
P(F)
OC. P(EIF)=P(EA)
P(E)
D. P(EUF)=P(E) + P(F)-P(EF)
SUBMIT

Answers

The following are the appropriate notations is P(EIF)=P(E n F) / P(F).

What is Conditional Probability?

Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.

As, from the property of conditional probability

P(EIF)=P(E n F) / P(F)

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Solve for the value of x:-
7(x+2)=35​

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 3 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 7(x + 2) = 35[/tex]

[tex]\qquad \tt \rightarrow \: 7x + 14 = 35[/tex]

[tex]\qquad \tt \rightarrow \: 7x = 35 - 14[/tex]

[tex]\qquad \tt \rightarrow \: 7x = 21[/tex]

[tex]\qquad \tt \rightarrow \: x = \cfrac{21}{7} [/tex]

[tex]\qquad \tt \rightarrow \: x = 3[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Write the equation of the line that is parallel to the line y = -x - 2 through the
point (4,-2)

Answers

Answer:

y = -x +2

Step-by-step explanation:

Equation of a line in slope-intercept form :

   y = mx + b    where m = slope and 'b' is the y-axis intercept

y = -x-2    is in this form.....  slope m = -1      b = -2

   the parallel line will have the same slope = -1 and will look like

        y = -x + b

       to calculate the value of 'b' for this line, substitute in the point given:

             -2 = - (4) + b      shows b = 2

  so your line becomes   y = -x + 2

Answer:

  y =-x + 2

Step-by-step explanation:

Equation of line:

    Parallel lines have same slope.

     y = -x - 2

Compare with the equation of the line in slope y-intercept form: y =mx + b

Slope = m = -1

So, equation of line: y = -x + b

Point(4 ,-2) is going through this line. so, substitute x = 4 & y = -2 in the above equation.

            -2 = -4 + b

          -2 + 4 = b

              [tex]\sf \boxed{b = 2}[/tex]

Equation of the required line:

            [tex]\sf \boxed{\bf y = -x + 2}[/tex]

The graph shows two lines, A and B:
Based on the graph, which statement is correct about the solution to the tC system of equations for lines A and B?
O (3, 4) is the solution to both lines A and B.
© (3, 4) is the solution to line A but not to line B.
O (0, 2) is the solution to both lines A and B.
O (0, 2) is the solution to line A but not to line B.

Answers

Answer:

the answer is (3,4) is the solution to line A but to not line B

a father is twice as old as his son. 20 yrs ago the father was four times as old as his son. find their present ages

Answers

Answer:

son's present age = 30

father's present age=60

Step-by-step explanation:

his son's present age = x years

his father's present age = 2x years

before 20 years his son's age=(x-20) years

before 20 years father's age=(2x-20) years4(x-20)=(2x-20)

4x-80=2x-20

4x-2x=80-20

2x=60

x=30

Fireside Flowers has 75 daisies, 60 lililes, and 30 roses. What is the greatest common factor Fireside Flowers can use to divide the flowers into equal groups​

Answers

Answer:

3

Step-by-step explanation:

bc im vary smert

Answer:

15

Step-by-step explanation:

Start by factoring each number into primes.

30  =  2 · 3 · 5

60  =  2 · 2 · 3 · 5

75  =  3 · 5 · 5

Look for prime numbers used in all three factorizations and include these common primes in the greatest common factor (GCF).

Since 3 is used at least one time in all three factorizations, the GCF will contain one 3.

Since 5 is used at least one time in all three factorizations, the GCF will contain one 5.

Therefore, the GCF Fireside Flowers can use to divide the flowers into equal groups is 3 · 5 = 15.

write 9 430 049 in international number system

Answers

Step-by-step explanation:

9, 430, 049 = 9 million four hundred thirty thousand and fourtynine....

[tex]...[/tex] :)..

A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.

Answers

Answer:

see below

Step-by-step explanation:

Acid in = acid out             acid out = 10 liters of 20% = .2 * 10 = 2

x = 5% amount

10-x = 40% amount

.05x  + .40 ( 10-x) =   .20 (10)

.05x + 4 - .4x = 2

-.35x = -2

x = 5.7 liters   of 5 %        10 - 5.7 = 4.3 liters of 40%

Question 7 of 10
Which choices are equivalent to the expression below? Check all that apply.
3√6
A. √54
B. 18
C. √27.4
☐D. √27.√2
□E √9.6
F. 54
PREVIOUS

Answers

Step-by-step explanation:

[tex] = 3 \sqrt{6} [/tex]

[tex] = \sqrt{ {3}^{2}.6 } [/tex]

[tex] = \sqrt{9.6} [/tex]

[tex] = \sqrt{54} [/tex]

The answer is A.

Suppose f(x)=x^2 and g(x)=5x^2. Which steamy best compares the graph of g(x) with the graph of f(x)?

Answers

By understanding and applying the concepts of dilation and quadratic functions, the function g(x) is a vertically dilated version of f(x) by a factor of 5.

How to compare the graphs of two functions

In this questions we know two quadratic equations of the form y = a · x². f(x) is known as the canonical function as a = 1 and g(x) is the consequence of dilating f(x) vertically by a factor of 5. Now we proceed to present graphically between the two functions.

In a nutshell, the function g(x) is a vertically dilated version of f(x) by a factor of 5.

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what is the answer??? so confused

Answers

Answer:

3  1/2

Step-by-step explanation:

Put '3' where 'y' is and compute :

[12 -3(3) ] / 2   + 3 [ (2(3)-4 )/3) =

   3/2              +   2  

    =   3  1/2

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