A tree casts a 65-foot shadow, while a nearby tree that 7 feet tall casts a 5- foot shadow. How tall is the larger tree

Answer:

(4.7) ⁴

(4.7)-⁴

Step-by-step explanation:

Mark brainliest please

\(4 + 20 = 8d \\ \\ 8d = 24 \\ \\ d = \frac{24}{8} \\ \\ d = 3.\)

The value of d is 3 .

Answer:

Choice C. \((f-g)(x)=-x^2+17x+7\)

Step-by-step explanation:

Recall that \(f-g\) is defined by

\((f-g)(x)=f(x)-g(x)\)

Therefore we compute

\((f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7\)

The compositions of the functions are given as follows:

The domain and the range of the functions are given as follows:

The representation of the composite function is that the output of the inner function works as the input to the outer function, as follows:

(f ∘ g)(x) = f(g(x)).

Hence, at x = 0, the composite function is given as follows:

(f ∘ g)(0) = f(g(0)) = f(1) = 0.

At x = 1, the composite function is given as follows:

(g ∘ f)(0) = g(f(0)) = g(1) = -2.

The definitions of the domain and of the range of a function are given as follows:

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The trigonometry expression which is not an identity is 1+cos² x/sin²x + 1. The Option A is correct.

Trigonometric Identities refers to equalities that involve trigonometry functions and hold true for all variables in the equation. There are numerous trigonometric identities involving the side length and angle of a triangle.

The primary trigonometry functions are sine, cosine, and tangent, while the other three functions are cotangent, secant, and cosecant. All six trig functions are used to derive the trigonometric identities.

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9514 1404 393

Answer:

  AE = CE = 12 in

Step-by-step explanation:

Angles BDF and BCF are base angles of their respective isosceles triangles. That means the a.pex angle of each, DBF and ABC respectively is ...

  180° -2×30° = 120°

In your diagram, BC is 120° from the -x axis, so is 60° from the +x axis. It bisects the angle DBE. Similarly, BE is 120° from the +x axis, so is 60° from the -x axis. It bisects angle ABC. In an isosceles triangle, the a.pex angle bisector is an altitude and is the perpendicular bisector of the base segment. Any point on that line is equidistant from the base vertices.

Point C lies on the perpendicular bisector of DE, so CD ≅ CE = 12 in.

Point E lies on the perpendicular bisector of AC, so EC ≅ EA = 12 in.

The measurements of interest are ...

  AE = CE = 12 in.

_____

Additional comment

Point F serves no purpose except to confuse the issue. Each of the angles that reference point F could be described equally well using a different point:

  ∠BDF = ∠BDE

  ∠BCF = ∠BCA

This makes it more obvious that the triangles of interest are similar.

Answer:

12

12

Step-by-step explanation:

see the below figure

i got that both triangles are similar

we get that in triangle ABC angle BCF is 30

so angle A is also 30 (isosceles)

so the remaining angle ABC is 120

and angle CBD becomes 180 - 120 = 60

now in triangle BDE angle BDF is 30

so angle BED is also 30

now angle EBC becomes 120 - angle CBD = 120 - 60

and got angles ABE EBC CBD as 60 each

so three 60 degree angles are formed at vertex B as shown in the figure

 tw0 30 30 120 degree triangles are similar

BC becomes perpendicular angular bisector of ED

C is a point on that line which is at equal distance from the base vertices

so CD = CE = 12

here BE is perpendicular bisector of AC

so AE = EC = 12    

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

Step-by-step explanation:

Answer:

what is the question?

Step-by-step explanation:

i dont see it hehe

Answer:

What’s the point of teh question may be tell us what you need help with....?

Step-by-step explanation:

Answer:

x=2, x=-3

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

The graph (g-f)(x)=-4x complies with the query.

An edge denotes the connection between the x and y vertices and is represented by the pair (x ,y). In the examples that follow, circles stand in for vertices and lines for edges.

The graph indicates that line generated by function f(x) passes through the points (1,-3) and (0,0) and that line similarly passes through the points (1,1) and (0,0).

With the use of the formula Y-Y1 = y2-y1/x2-x1, we can thus determine the equation of the lines (x-x2)

Therefore, the equation of the line produced by the function f(x) y+3= 3-0/0-1 (x-1)

Function f(x) Equals 3x since y+3=-3x+3 y=-3x.

the line drawn by the function g(x) has the equation y=x, hence function g(x)=x.

We now need to figure out, (g-f) (x) = g(x)- f(x) = -3x-x = -4x

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Answer:

5 remainder 50 and 2 remainder 100

Step-by-step explanation:

432 /73

432=400

73=70

70/400 = 005 Remainder 50

1275=1300

588=600

1300/600=2 remainder 100

Estimations are used to get the approximated value of an expression.

\(\mathbf{(a)\ 432 \div 73}\)

Round up to 1 digit

\(\mathbf{432 \div 73 \approx 400 \div 70}\)

Divide

\(\mathbf{432 \div 73 \approx 5.714}\)

Hence, the estimate of 432 ÷ 73 is 5.714

\(\mathbf{(b)\ 1275 \div 588}\)

Round up to 1 digit

\(\mathbf{ 1275 \div 588 \approx 1000 \div 600}\)

Divide

\(\mathbf{ 1275 \div 588 \approx 1.667}\)

Hence, the estimate of 1,275 ÷ 588 is 1.667

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After 3 years, there will be $2,810.95 in the Richardsons' account and the interest earned on the Richardsons' investment after 3 years will be around $310.95.

(a) The interest rate per month is r = 1.36% ÷ 12 = 0.01133333. The number of compounding periods in 3 years is n = 3 × 12 = 36. Therefore, the amount A after 3 years is:

A = 2500 × (1 + r)ⁿ

A = 2500 × (1 + 0.01133333)³⁶

A = $2,810.95

Therefore, after 3 years, there is $2,810.95 in the Richardsons' account.

(b) The interest earned is the difference between the final amount and the initial investment:

Interest = A - P

I = $2,810.95 - $2,500

I = $310.95

Therefore, the interest earned on the Richardsons' investment after 3 years is $310.95.

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Answer:

The third one

Step-by-step explanation:

Answer:

common endpoint

Step-by-step explanation:

Answer:

The responses to this questin can be defined as follows:

Step-by-step explanation:

Take system A. The predator must be there. If we feel the attacker is x, that drop in y (a further prey eaten) must raise by x. Growing x could render y falling much quicker because more predators become available. See the equation of \(\frac{dx}{dt}\).

\(\frac{dx}{dt} = 3x(1- \frac{x}{10})-20xy\)

It will see that dx/dt is an x both y function. It is indeed difficult to tell something about the dependence among \(\frac{dx}{dt}\) and x, but it is quite easy: the higher to y, its higher the 20xy (since x and y are positive numbers). And therefore -20xy is much more negative, but \(\frac{dx}{dt}\) is much worse. Going to find: the larger y, the less or even more negative \(\frac{dx}{dt}\), the less x.

Test: It implies that higher y means less x (more prey) (fewer predators). Then, does the assumption which x is a predator confirmed? No, because more prey, and thus more predators, would mean better lunch for both the predators, People could see that x is now a prey as well as y a predator, even though more predators(y) exist.

They use the second equation to check this:

\(\frac{dy}{dt} = -\frac{5y+xy}{20}\)

Perhaps, now we're just talking about basic dependency as of now: one is from dy/dt to x. A larger x means that the y (predator) is growing faster. For System B we are using the same rationale.Thus, x is a predator and y a predator (as high x indicates higher 25 x but this results in increased y population increase (EQ.2), as higher x means lower \(\frac{XY}{100}\) and reduces x) Afterwards, we would like to learn which system has big and small predators. To conclusion, they must realize that this piranha does not impact that population of humans in the case of piranhas. However in cases where y = I and y = i+1 would not significantly differ from \(\frac{dx}{dt}\) (alter in the number of individuals) (i is an arbitrary number of piranhas)

This function of system B can be seen: \(\frac{dx}{dt} = 0.3x - \frac{xy}{100}\). And what's the reason? Given the fact that the element beside y is \(\frac{1}{100}\), another tiger shark is no worse than \(\frac{dx}{dt}\) and therefore not willing to make a significant contribution to the elimination of global life. Through system A, they could see that the predator is huge because one predator implies a major shift in \(\frac{dx}{dt}\) almost. I belive that, this message has been observed by you. But I also hope that throughout the end I have created no error:) This should try to not learn with your heart, since it is helpful when you grasp the task. Another way to approach the problem might be to try to consider \(\frac{dy}{dt}\) instead of \(\frac{dx}{dt}\) for both systems and then to see that what prey is tiny or large. This big predator should not imply many hunters with one location or each other and will eat a meal (System A seems to have this feature: \((\frac{dy}{dy} = -5y)\)

Answer:

28 dogs are present

Step-by-step explanation:

Dogs : Cats

= 4 : 7

= ? : 49

= 4 x 7 : 7 x 7

= 28 : 49

Answer:

y = -x -2

Step-by-step explanation:

Answer:

-x - 2 = y

I hope this is correct :P

the x-coordinate of the point that is 2/5 of the way from V to W on this line segment is approximately 8.08.

A coordinate is a number or set of numbers that specifies the position of a point in a space. Coordinates are used to describe the position of objects in various mathematical systems, including two-dimensional and three-dimensional Euclidean spaces, as well as non-Euclidean spaces like spherical or hyperbolic geometries.

by the question.

The x-coordinate of the point that is 2/5 of the way from V to W can be found by first determining the x-coordinate of the point that is 2/5 of the way from V to W and then using the formula for finding the x-coordinate of a point on a line given its y-coordinate.

To find the point that is 2/5 of the way from V to W, we need to first find the distance between V and W. Using the distance formula:

d =\(\sqrt{11-(-4)^{2} }\) + (2 - \((-4)^{2}\)) = \(\sqrt{225+36}\)= \(\sqrt{261}\)

Then, the distance between V and the point we're looking for is (2/5) * \(\sqrt{261}\), and the distance between the point we're looking for and W is (3/5) * \(\sqrt{261}\).

To find the x-coordinate of the point we're looking for, we can use the formula:

x = (distance from V to point we're looking for)/ (total distance) * x

coordinate of W + (distance from point we're looking for to W)/(total distance) * x-coordinate of V.

Substituting the values, we found:

x = (2/5 *\(\sqrt{261}\))/\(\sqrt{261}\)) * 11 + (3/5 * \(\sqrt{261}\))/\(\sqrt{261}\)) * (-4) = 8.08

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The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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The quotient when 480 is divided by -60 is 8.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

The numbers given are 480 and -60.

Both are in opposite signs, that is one negative and other positive.

So the quotient will be negative.

Now divide 480 by 60.

Since both of the numbers contain 0 at the end, cancel it.

Then it becomes 48 divided by 6.

48 / 6 = 8

Hence the quotient is 8.

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Answer:

maybe if u translate it in English

Step-by-step explanation:

it wouldv been helpful if u mind?

Answer:

3 days.

Step-by-step explanation:

All you need to do is take th amout you want to o have by the end of a period and divide it by hw much they make in one day.

Answer:

Figure out how their teacher, teaches them and try to mimic that learning style. So the child's learns with one way and not multiple.

Step-by-step explanation:

Answer:

-I help children with their homework by :

1.Know the teachers and what they're looking for.

2.Set up a homework-friendly area.

3Schedule a regular study time.

4.Help them make a plan.

5.Keep distractions to a minimum.

6.Make sure kids do their own work.

7.Be a motivator and monitor.

8.Set a good example.

The value of the determinant |A| = 1

In the above question, a determinant is given, having k as one of the entry

We need to find the, value of |A|

If A is the matrix, then |A| stands for the matrix's determinant. The first element of the first row is multiplied by a secondary 2x2 matrix made up of the other 3x3 matrix elements that do not belong to the row or column to which your first chosen element belongs in order to get the determinant of the 3x3 matrix.

Calculus, linear algebra, and advanced geometry frequently make use of the determinant of a matrix.

So, |A| = a11(a22.a33 - a23.a32) - a12(a21.a33 - a23.a31) + a13(a21.a32 - a22.a31)

|A| = 1.(1 -0) - 0(0 - 0) + 0(0-k)

|A| = 1

Hence, the value of the determinant |A| = 1

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Answer:

  150 cm

Step-by-step explanation:

The total of exterior angles is 360°. We can use this fact to find the number of sides. The perimeter is the total length of all of the congruent sides.

The measure of an exterior angle of the regular polygon is the supplement of the adjacent interior angle:

  exterior angle = 180° -156° = 24°

The total of n of these angles is 360°, so n is ...

  24°×n = 360°

  n = 360°/24° = 15

The polygon has 15 exterior angles, hence 15 sides

The perimeter is the total length of the 15 congruent sides:

  P = 15×(10 cm) = 150 cm

The perimeter of the regular polygon is 150 cm.

Answer:

x = r ,r is a whole number

y = 5(.5)^r

y=5(.5)

Step-by-step explanation:

The equation of the exponential function represented by the table given is f(x)=(5)\((0.5^{x} )\).

Function:

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

For x=0 for  f(0)=(5)\((0.5^{0} )\)=5

⇒ x=1 for  f(1)=(5)\((0.5^{1} )\)=2.5

⇒ x=2 for  f(2)=(5)\((0.5^{2} )\)=1.25

⇒ x=3 for  f(3)=(5)\((0.5^{3} )\)= 0.625

Therefore,The equation of the exponential function represented by the table given is f(x)=(5)\((0.5^{x} )\).

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