Please Help!!
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

1: The horizontal distance h can be expressed as a function of the slanted distance d.

2:

To understand the relationship between the horizontal distance h and the slanted distance d, we can visualize a right triangle formed by the airplane's altitude, the slanted distance, and the horizontal distance. In this triangle, the altitude acts as the vertical leg, the slanted distance as the hypotenuse, and the horizontal distance as the adjacent leg.

Using the Pythagorean theorem, we can relate the three sides of the triangle: altitude squared plus horizontal distance squared equals slanted distance squared. Mathematically, this can be represented as h² + 3700² = d².

By rearranging the equation and solving for h, we can express the horizontal distance h as a function of the slanted distance d: h = √(d² - 3700²).

This function provides a way to calculate the horizontal distance based on the given slanted distance. By plugging in different values of d, we can obtain the corresponding horizontal distances.

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The correct option  a. 0. 35%, for the monthly growth rate.

Provided that we have done so;

The definition of the phrase is;

f(x) = 12(1. 035)ˣ   .....eq1

As we are aware, the exponential function's general form is:

f(x) = a(1 + r)ˣ  ...eq 2

Comparing reveals that;

1 + x = 1.035

r = 0.035

r = 0.035 x 1005

x = 3.5%.

Thus, according to the given function, the monthly growth rate is found as 3.5%.

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The value of \(x=-\frac{1}{5}\) and \(y=\frac{31}{5}\).

The given equations are \(y=4x+7\) and \(y=9x+8\).

We have to solve these equations using the substitution method.

Substitution Method

In this method we find the value of one variable from one equation using elimination method and then put that value of that variable in other equation. In simple word we substitute value of one variable from one equation to the other equation.

In the given equation the two equation are

\(y=4x+7\dots\dots\dots\)Equation \((1)\)

\(y=9x+8\dots\dots\dots\)Equation \((2)\)

Putting the value of \(y\) from the Equation \((1)\) in the Equation \((2)\)

\(4x+7=9x+8\)

Subtract \(8\) on both side

\(4x+7-8=9x+8-8\)

Simplifying

\(4x-1=9x\)

Subtract \(4x\) on both side

\(4x-1-4x=9x-4x\)

Simplifying

\(-1=5x\)

\(5x=-1\)

Divide by \(5\) on both side

\(\frac{5}{5}x=-\frac{1}{5}\)

\(x=-\frac{1}{5}\)

Now putting the value of \(x\) in equation \((1)\)

\(y=4(-\frac{1}{5})+7\)

Simplifying

\(y=-\frac{4}{5}+7\)

\(y=-\frac{4}{5}+7\times\frac{5}{5}\)

\(y=-\frac{4}{5}+\frac{35}{5}\)

\(y=\frac{-4+35}{5}\)

\(y=\frac{31}{5}\)

Hence, the value of \(x=-\frac{1}{5}\) and \(y=\frac{31}{5}\).

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Answer: nomial  data

Step-by-step explanation:

Answer:

1) I believe 6 (im wrong I know it)

Step-by-step explanation:

you do whatever like 13902-1 , im so smart

Answer:

We can find the volume of a sphere using the volume of a cylinder. Cylinder is a solid which has a circular base. We know the fact that the volume of any solid is equal to the product of base area and height of the solid. So, the volume of a right circular cylinder of base radius ‘r’ and height ‘h’ is given by

Step-by-step explanation:

Answer: 3 / 85

Step-by-step explanation:

Given the following :

Number of gift basket = 3

Nunber of entries = 85

Probability of winning a gift basket if you have one of the entries :

With one entry, one has a chance of winning one of 3 gift baskets

Hence, the required outcome of one entry = 3

Total possible outcomes = number of entries = 85

P(winning a gift basket with one entry) :

Required outcome / Total possible outcomes

= 3 / 85

Also, it could be calculated thus ;

Probability of one entry from a total of 85;

= 1/ 85.

And one entry has a Chance of winning one of 3 different gift baskets

Hence (1/85 × 3) = 3/85

Answer:

Answer is 3/85.

Step-by-step explanation:

There is no need for one, periodt.

Answer:

8x2 to the second power plus 8.

Step-by-step explanation:

not my answer but I hope this helps

40 = 49 - 9

49 is equal to 7×7, or 7². 9 is equal to 3×3, or 3².

we can write this as \(7^{2}\) - \(3^{2}\)

Another way:

(10 - 3\()^{2}\) - \(\sqrt{81}\)

Answer:

g(-2) = 20

Step-by-step explanation:

from my understanding, the equation is

\(g(x) = 10+4x^{2} +3x\\\)

to find g(-2), substitute -2 into the x.

\(g(-2) = 10 +4(-2^{2})+3(-2)\\ = 10 + 4(4)-6\\ = 10 + 16 - 6\\ = 20\)

Answer:

x = -16 and x = 1

Step-by-step explanation:

"Finding the roots" means solving the equation. We'll set the equation equal to 0 (replace f(x) with zero) and factor.

0 = x^2 + 15x - 16

0 = (x + 16)(x - 1)

This is factored.

Using the Zero Product Property, we separate this into two small equations.

x+16 = 0 and x-1 = 0

Solve these one-step equations.

x = -16 and x = 1

These are the roots (and roots are solutions, are zeros, are x-intercepts) If the question ask for zeros, roots, solutions or x-intercepts, set it equal to 0, factor and solve.

Answer:

X = 2
Y = 8

Step-by-step explanation:

X is 2 because half of 4 is 2 and Y is 8 because double of 4 is 8.

Hey there!

2y - c

= 2(7) - 6

= 14 - 6

= 8

Therefore, your answer is: 8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

\( = > 2y - c\)

\( = > 2(7) - 6\)

\( = > 14 - 6\)

\( = > 8\)

Answer:

\(-7^\circ C\)

Step-by-step explanation:

Let

x -----> the height in meters

y ----> the temperature in Celsius degree

we know that

The linear equation in slope intercept form is equal to

\(y+mx+b\)

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

The slope or unit rate is equal to

\(m=-\dfrac{1}{100} \dfrac{^\circ C}{m}\) ---> is negative because is a decreasing function

The y-intercept or initial value is equal to

\(b=4^\circ C\) ----> value of y when the value of x is equal to zero (sea level)

substitute

\(y=-\dfrac{1}{100} x+4\)

For x=1,100 m

substitute in the linear equation and solve for y

\(y=-\dfrac{1}{100} (1,100)+4\)

\(x=-7^\circ C\)

Answer:

0.15 is the right answer

Answer:

0.15

Step-by-step explanation:

15% is equivalent to the decimal 0.15. Notice that dividing by 100 moves the decimal point two places to the left.

No.

1) Because in the cubic root of 8, as below represented in this function:

There is no other negative number that can be inserted in the Domain to yield a positive value in the Range.

Unlike, the quadratic radical function. For example:

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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\(\tan 37^{\circ}=\frac{x}{16} \\\\x=\boxed{16 \tan 37^{\circ} \text{ ft}}\)

All we need to do is solve for y.

\(y - 3 = 4(x + 2)\\\\y - 3 = 4x + 8\\\\y = 4x + 11\)

The answer is A. y = 4x + 11.

Check the picture below.

Answer:

\(\boxed {v = -12}\)

Step-by-step explanation:

Solve for the value of \(v\):

\(v - 15 = -27\)

-Add both sides by \(15\):

\(v - 15 + 15 = -27 + 15\)

\(\boxed {v = -12}\)

Therefore, the value of \(v\) is \(-12\).

The statement  "If gcd(a,b) ≠ 1 and gcd(b,c) ≠ 1, then gcd(a,c) ≠ 1." is false, and a counterexample is gcd(a) = 2, gcd(b) = 2, gcd(c) = 4. In this case, gcd(a,b) = gcd(b,c) = 2, but gcd(a,c) = 4, which contradicts the statement.

To prove that the given statement  "If gcd(a,b) ≠ 1 and gcd(b,c) ≠ 1, then gcd(a,c) ≠ 1." is false we can look at a counterexample:

Let a = 6, b = 4, and c = 9.

gcd(a,b) = gcd(6,4) = 2 (which is not 1)
gcd(b,c) = gcd(4,9) = 1 (which is 1)

Although gcd(a,b) ≠ 1 and gcd(b,c) ≠ 1, gcd(a,c) = gcd(6,9) = 3, which is not equal to 1. This counterexample shows that the statement is false.

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A unit fraction is a fraction with the numerator equals 1.

So, in order to have the fraction 4/5, we can multiply the number in the numerator by a unit fraction with the same denominator:

So the first blank space is filled with 4 and the second one with 1/5.

Asaad having median salary makes more money in comparison to Amahle who makes minimum salary.

From the attached box plot we have,

Box plot always shows,

First Minimum → Lower quartile → Median → Upper quartile → Maximum

The minimum salary for an actuary is equals to

Approximately 35 dollars

And the median salary for a CPA from the box plot is equals to,

Approximately 60 dollars

Here , by comparing the both the values we have,

Median salary for CPA (60 dollars ) is greater than minimum salary for actuary ( 35 dollars ).

The median salary for a CPA is typically higher than the minimum salary for an actuary.

Therefore, Asaad representing median salary makes more money than Amahle .

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The above question is incomplete, the complete question is:

Amahle makes the minimum salary for an actuary. Asaad makes the median salary for a CPA. Who makes more money?

Box plot is attached.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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An nth-degree polynomial function with real coefficients satisfying the given conditions and n = 4, 2i and 3i are zeros and f(-1) = 150 can be found as follows:First of all, the complex conjugate of 2i is -2i and that of 3i is -3i. Since all coefficients of the polynomial are real, so their product must also be a factor of the polynomial.

The factor of the polynomial whose zeroes are 2i and -2i is(x - 2i) (x + 2i) = (x^2 + 4).Similarly, the factor of the polynomial whose zeroes are 3i and -3i is(x - 3i) (x + 3i) = (x^2 + 9).Therefore, the nth-degree polynomial function with real coefficients satisfying the given conditions is:f(x) = a (x^2 + 4) (x^2 + 9)Where a is the constant of proportionality.To find the value of a, substitute the value of x as -1 in the equation given in the problem and equate it to 150.

f(-1) = a ((-1)^2 + 4) ((-1)^2 + 9)150 = a (5) (10)a = 150/50a = 3

Hence, the required nth-degree polynomial function with real coefficients satisfying the given conditions is:f(x) = 3 (x^2 + 4) (x^2 + 9) and it has been obtained above.

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By answering the given question, we may state that Hence, the first-time interest home buyer's mortgage brokerage fees would be $1,653.45.

Divide the principal by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing formula. This method makes it easiest to calculate interest. The most typical technique to figure out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a friend and agrees to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an annual percentage of the loan total. The interest on the loan is this percentage.

In order to determine the mortgage brokerage fees, we must first determine 1.05% of the funded amount and then add the $300 flat charge.

The formula for 1.05% of $128,900 is as follows:

1.05/100 x $128,900 = $1,353.45

The following would be the mortgage brokerage fees:

$1,353.45 + $300 = $1,653.45

Hence, the first-time home buyer's mortgage brokerage fees would be $1,653.45.

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Answer:

72

Step-by-step explanation:

7(10) + 2

70 + 2

72

Answer:

there is no picture,you need to add a pic

If the sequence is geometric, the common ratio 2:1.

In mathematics, an Sequence is an enumerated collection of objects in which repetition is allowed and in case order. Like a collection, it contains members (also called elements or items). The number of elements (possibly infinite) is called the length of the array. Unlike sets, the same item can appear multiple times at different positions in the sequence, and unlike sets, order matters. Formally, a sequence can be defined in terms of the natural numbers (positions of elements in the sequence) and the elements at each position.

The concept of series can be generalized as a family of indices, defined in terms of any set of indices.

According to the Question:

Given GP is 18,9,0,-9.

Common ratio =  second number/ first number

​                         =  18/9

                       ​ = 2

​So, the common ratio is  2:1

​

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Answer:

351cm³

step by step explanation:

Volume of the prism:

=[1/2×(a+b)×h]×l

=[1/2×(5+8)×6]×9

=(1/2×13×6)×9

=(6.5×6)×9

=39×9

=351cm³