Is this correct? Or what do you think the answer is please

The height of the kite off the ground is approximately 17.87 feet rounded to two decimal places.

To solve the problem can use similar triangles.

Let's draw a diagram:

     A

      |\

      | \

   h |   \   x

      |      \

      |____\

       d   B

Point A represents the kite, point B represents the tip of the kite's shadow on the ground and point D represents the point directly below the spool of string on the ground.

The height of the kite represented by h.

The length of the string is 42.9 feet so the distance from point A to point D is also 42.9 feet.

The distance from point B to point D is 16.5 feet.

These two lengths to find the length of segment AB:

AB/AD = BD/AD

AB/42.9 = 16.5/42.9

AB = 16.5

So AB is 16.5 feet.

Now we can use the similar triangles to find h.

We have:

h/x = AB/AD

h/x = 16.5/42.9

h = x × 16.5/42.9

We need to find x.

The spool of string is 3.4 feet above the ground and we know that the kite is directly above the spool when it is at its highest point in the sky.

So the height of the kite above the ground is the same as the height of the spool above the ground plus the length of string that has been let out:

x = 3.4 + 42.9

= 46.3

Now we can substitute this value of x into the previous equation to find h:

h = 46.3 × 16.5/42.9

= 17.87

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1) Note that the population mean is 153.

2) there are 36 possible random samples of size two that can be selected from a population of nine.

1) Population Mean = (172 + 148 + 156 + 170 + 161 + 138 + 142 + 156 + 134) / 9

= 1377 / 9

Population Mean = 153

2) To get the number of possible random samples, we must use Combination whose equation is given as

nCr = n! / (r! (n-r)!)

nC2 = 9! / (2!(9-2)!)

= 9! / (2! 7!)

= (9 x 8 x 7!) / (2!7!)

= (9 x 8) / 2

= 36

Thus, the number of random samples that can be selected form a population of 9 is 36.

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Answer:

16 in

Step-by-step explanation:

50 ft x 12 in/ft = 600 in

Scale factor:  2 : 600 = 1 : 300

x = length of island on the map

400 ft = 4800 in

1/300 = x/4800

x = 4800/300 = 16 in

1. The product of MG is as follows;

[tex]\left[\begin{array}{ccc}1&k_1+9&4k_2+36 \\2t_1&k_1t_1-17&3k_2-19t_1-11\\t_2+1&k_1-4t_2+5&k_2t_2-8\end{array}\right][/tex]

2. The values are k₁ = -9, k₂ = -9, t₁ = 0 and t₂ = -1 given that G = M⁻¹

Matrix M and matrix G are given as

M = [1, 4, 5; t₁, 3, -1; 1, t₂, 1] and

G = [2, k₁, -19; 1, -4, k₂; -1, 5, 11]

MG becomes

1×2 + 4×1 + 5×-1         1k₁+4×-4+ 5×5       1×-19+4k₂+5×11

t₁×2+3×1+-1×-1             t₁k₁+3×-4+-1×5       t₁×-19+3k₂+-1×11

1×2+t₂×1+1×-1               1k₁+t₂×-4+-1×5        1×-19+t₂k₂+1×11

=

1             k₁+9         4k₂+36

2t₁          k₁t₁-17        3k₂-19t₁-11

t₂+1        k₁-4t₂+5      k₂t₂-8

To solve G = M⁻¹ we know it is an identity matrix

I = | 1 0 0 |

    | 0 1 0 |

    | 0 0 1 |

We can equate the elements of MG and I to find the values of t₁, t₂, k₁, and k₂:

1 = 1,         k₁+9 = 0,       4k₂+36 = 0

2t₁ = 0     k₁t₁-17 = 1        3k₂-19t₁-11 = 0

t₂+1 = 0     k₁-4t₂+5 = 0   k₂t₂-8 = 1

k₁+9 = 0           4k₂+36 = 0            2t₁ = 0          t₂+1 = 0

k₁ = -9                 k₂ = -9                   t₁ = 0           t₂ = -1

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Answer:

  80°

Step-by-step explanation:

You want the sum of angles 1 and 2 in the attached figure where line m ║ line n.

Vertical angles are congruent. This means angle 1 is 60°, and the unnumbered angle in triangle ABC at vertex A is 20°.

Where a transversal crosses parallel lines, alternate interior angles are congruent. This means angle 2 is congruent with the unnumbered interior angle at A, which we know is 20°.

Angle 1 is 60° and angle 2 is 20°. Their sum is ...

  ∠1 +∠2 = 60° +20° = 80°

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Answer:

The correct answer is D. 56x^2.

The equation of the quadratic function C(t) is given as follows:

C(t) = t² + 3.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The vertex is the turning point of the function, where it changes from decreasing to increasing, or vice versa, hence:

(0,3).

Then:

y = at² + 3.

When x = 1, y = 4, hence the leading coefficient a is obtained as follows:

4 = a(1)² + 3

a = 1.

Hence the function is given as follows:

y = t² + 3.

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The remaining credit after 91 minutes of calls is $16.76.

We are given that;

(24, 22.12) and (63, 17.44)

Now,

To find the slope and the y-intercept of the function. You can write your solution as:

Slope = (y2 - y1) / (x2 - x1) = (17.44 - 22.12) / (63 - 24) = -0.08 y-intercept = y - mx = 22.12 - (-0.08)(24) = 24.04 Equation: y = -0.08x + 24.04

To find the remaining credit after 91 minutes of calls, you need to substitute x = 91 in the equation and simplify. You can write your answer as:

y = -0.08(91) + 24.04 y = -7.28 + 24.04 y = 16.76

Therefore, by the intercept the answer will be $16.76.

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[tex]w^2 - 6w + 4[/tex] is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

[tex](w^2 - 4w + 14) - (2w + 10)[/tex]

Simplifying the expression:

[tex]w^2 - 6w + 4[/tex]

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is [tex]w^2 - 6w + 4[/tex].

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a) The first mistake that Fatima made was in the first step.

b) She incorrectly changed the place value of 0.02 in the subtraction operation.

c) Based on the correct subtraction operation and place value in step one, Fatima has 0.395 kilograms of rose petals left.

The place value shows the position of a digit in a number.

The right place values are essential for correct mathematical operations.

The quantity of rose petals that Fatima bought initially = 0.454 kilograms

The quantity of rose petals used for making rose water = 0.02 kilograms

The remaining quantity of rose petals = 0.434 (0.454 - 0.02)

The additional quantity of rose petals Fatima bought = 0.056

The quantity of rose petals used for making the second rose water = 0.095

The quantity of rose petals left = 0.395 (0.434 + 0.056 - 0.095)

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Answer: attached in image, look at both

Step-by-step explanation:

The amount Sam needs to pay in each installment is $141.1

From the question, we have the following parameters that can be used in our computation:

Cost of refrigerator = 1058

Down payment = 211.40

Number of equal installments = 6

Using the above as a guide, we have the following:

Each installment = (Cost of refrigerator - Down payment)/Number of equal installments

substitute the known values in the above equation, so, we have the following representation

Each installment = (1058 - 211.40)/6

Evaluate

Each installment = 141.1

Hence, the amount in each installment is $141.1

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The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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Answer:

Step-by-step explanation:

Answer:

301.59289cm²

Step-by-step explanation:

The solution to the equation  [tex]2log_a(x) - log_a(x-1) = log_a(x-2)[/tex]  is

x = 2/3.

To solve the equation [tex]2log_a(x) - log_a(x-1) = log_a(x-2)[/tex] for x, We can employ algebraic manipulation and logarithmic characteristics.

Apply logarithmic properties.

Using the logarithmic property[tex]log_a(b) - log_a(c) = log_a(b/c),[/tex] we can rewrite the equation as:

[tex]log_a(x^2) - log_a(x-1) = log_a(x-2).[/tex]

Combine the logarithms.

Applying the logarithmic property [tex]log_a(b) - log_a(c) = log_a(b/c),[/tex] we can combine the logarithms on the left-hand side:

[tex]log_a[(x^2)/(x-1)] = log_a(x-2).[/tex]

Take the logarithms out.

We can do away with the logarithms because the base of the equation is the same.

[tex](x^2)/(x-1) = x-2.[/tex]

Streamline the equation.

We can eliminate the denominator and simplify the equation by multiplying both sides by (x-1):

[tex]x^2 = (x-2)(x-1).[/tex]

Expand and simplify.

Expanding the right-hand side, we have:

[tex]x^2 = x^2 - 3x + 2[/tex]

Rearrange the equation.

Rearranging the equation, we get:

0 = -3x + 2.

Do the x math.

We must isolate x on one side of the equation in order to find its value. Taking 2 away from both sides:

3x = 2.

Finally, divide both sides by 3:

x = 2/3.

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The break-even point would be when the cost is equal to 44 dollars.

Option B is the correct answer.

We have,

The break-even point represents the point at which the cost equals the revenue or the point where there is no profit or loss.

Now,

In this case, if the graph represents the cost (dollars) on the y-axis and units on the x-axis, the break-even point occurs when the cost is equal to the revenue or total sales.

Given that two lines intersect at (11, 44),

The break-even point would be when the cost is equal to 44 dollars.

Thus,

The break-even point would be when the cost is equal to 44 dollars.

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Answer:

Step-by-step explanation:

What is the Formula for Calculating the Square Root of a Number? The square root of any number can be expressed using the formula: √y = y½. In other words, if a number has 1/2 as its exponent, it means we need to find the square root of the number.

In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number.

The square root of a number "a" is denoted by the symbol "√a" or "a^(1/2)." For example, the square root of 9 is 3 because 3 * 3 = 9.

Answer:

Step-by-step explanation:

PEMDAS (order in which to do operations)

P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction

there are no parentheses so skip that

5^2 is an exponent so do that first

3x10 + 3x5^2 + 3 -->    3 x 10 + 3 x 25 + 3

Next, do multiplication/division operations from left to right

3 x 10 + 3 x 25 + 3 -->    30 + 75 + 3

Finally, do the addition operations

30 + 75 + 3 = 108

final answer: 108

An equation that can be used to find the value of x include the following: 110° + 7x = 180°.

In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of the given angles are supplementary angles:

110 + 7x = 180°

7x = 180° - 110°

7x = 70°

x = 70°/7

x = 10°

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The error E = ± 4.04 %

Sample data = ( p ).

success p = success percentage = 40 %

confidence interval CI = 98%

sample size n = 800

margin of error E:

The margin of error "E" for estimation of population proportion ( p ) is given by:

E = z - critical √(p(1-p)/n)

P ( Z < Z-critical ) = a/

a = 1 - CI

P ( Z < Z-critical ) = (1 - 0.98) / 2

P ( Z < Z-critical ) = 0.01

Z-critical = 2.33

The error E = ± 4.04 %

Thus, the correct answer is E=± 4.04 %

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In the figure, AB is a diameter, and AB⊥CD, If m AC = 54°, BD is 36°. Option A

In a circle, a diameter divides it into two equal parts and forms a straight line that measures 180°.

Given that AB is a diameter = 180°.

AB is perpendicular to CD, therefore m∠AC + m∠BD = 90°.

Substituting m∠AC =54°, we get m∠BD + 54°  = 90°.

Solving for m∠BD, we get 90° - 54° = 36°.

There BD is 36°.

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The statement thet complete the proof of the congruent triangles is (a) SAS criterion

From the question, we have the following parameters that can be used in our computation:

The incomplete proof

In the proof, we have

AD ≅ BC --- side length

DC ≅ DC --- side length

∠ADC ≅ ∠BCD -- angle

This means that the triangles are congruent by the SAS theorem

The SAS theorem is defined by "If two sides in one triangle are congruent to two sides in another triangle and the included angle in both are congruent, then the two triangles are congruent"

This means that they are congruent by the SAS congruent

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Answer: A. SAS criterion.

Step-by-step explanation: Angle : ∠ADC ≅ ∠BCD                                         Side length : AD ≅ BC                                                                                       Side length : DC ≅ DC                                                                                                

Because of this △ADC ≅ △BCD by SAS criterion.

Step-by-step explanation:

"Range'' is the values of 'y' that a graph can have....there are no limits on this one

(-∞,+∞)

Answer:

2 forms

Step-by-step explanation:

hope this helps <3

[tex] \sf \longrightarrow \: \frac{8}{5} \div 6 \\ [/tex]

[tex] \sf \longrightarrow \: \frac{5}{8} \times 6 \\ [/tex]

[tex] \sf \longrightarrow \: \frac{5 \times 6}{8} \\ [/tex]

[tex] \sf \longrightarrow \: \frac{30}{8} \\ [/tex]

[tex] \sf \longrightarrow \: \frac{8}{30} \\ [/tex]

[tex] \sf \longrightarrow \: 0.26 \\ [/tex]

_____________________________

After analysing the given data we conclude that the probability that Dina will randomly choose that is not green and change it and again randomly choose a marble that is yellow is 17.5%.

The given  probability of Dina drawing a green marble is 30%. Then, the probability of her not drawing a green marble is 70%. It can be said that  probability of her drawing a yellow marble is 25%. Hence, the probability of her not drawing a yellow marble is 75%.
The probability of Dina drawing a marble that is not green and then replacing it is
70% × 100% = 70%.
The probability of her then drawing a yellow marble is 25%. Therefore, the probability of Dina randomly drawing a marble that is not green, replace it, then randomly draw a yellow marble is
70% × 25% = 1750
 1750× 100 = 17.5%.
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Step-by-step explanation:

She walks the entire CIRCUMFERENCE of the circle

circumference = pi X diameter

                       = pi X 14 ft = 43.98 ft  = ~ 44 ft (rounded)

Answer:

7

Step-by-step explanation:

yw ;)

The value of the limit of the function f(x) = x² - 2 is 7.

The value of the limit of the function f(x) = -3x + 15 is -6.

We have,

To evaluate the limit as x approaches 3, we need to find the limit of function f(x) as x approaches 3 from both sides of 3.

First, let's evaluate the limit from the left side of 3:

lim x → 3⁻ f(x) = lim x → 3⁻ (x^2 - 2)

Substituting x = 3 - h (where h approaches zero) gives:

lim h → 0⁺ [(3 - h)^2 - 2]

= lim h → 0⁺ [9 - 6h + h^2 - 2]

= lim h → 0⁺ [h^2 - 6h + 7]

= 7

(since the limit of a quadratic function as h approaches zero is the constant term)

Next, let's evaluate the limit from the right side of 3:

lim x → 3⁺ f(x)

= lim x → 3⁺ (-3x + 15)

= -6

Since the limit from the left side is not equal to the limit from the right side, the limit of f(x) as x approaches 3 does not exist.

Thus,

The value of the limit of the function f(x) = x² - 2 is 7.

The value of the limit of the function f(x) = -3x + 15 is -6.

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The area of the sector is approximately 9.25 ft².

We have,

The formula for the area of a sector.

A = (θ/360°) × πr²

where A is the area of the sector, θ is the central angle in degrees, and r is the radius.

Substituting the given values.

A = (40°/360°) × 3.14 × (16.7 ft)²

A = 0.1111 × 3.14 × 278.89 ft²

A = 9.2465 ft²

Rounding to the nearest hundredth.

A ≈ 9.25 ft²

Therefore,

The area of the sector is approximately 9.25 ft².

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