What is the equation?

The ditch is 14.54 feet deep.

Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc. It is used naval and aviation industries. It is used in cartography (creation of maps). Also trigonometry has its applications in satellite systems.

As, both brother have height of 6 feet.

We will use the concept of application of trigonometry to find the depth of ditch.

The explanation is attached below

Now, by solving both equations we get

0.8391y= (2+√3)(30-y)

4.5711y=111.96

y= 24.49 feet.

Now,

x= 14.54 feet.

Hence, the depth of ditch is 14.54 feet.

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Answer:

still don't get it

Step-by-step explanation:

but please write it in an understanding meaning

Answer:

[tex]x=-2\pm2\sqrt13[/tex]

Step-by-step explanation:

The area of the triangle is;

[tex]A=\frac{1}{2} \times b\times h[/tex]

[tex]b=x+4[/tex]

[tex]h=x[/tex]

[tex]Area=A=24[/tex]

[tex]A=\frac{1}{2}\times[(x+4)\times x] \\24=\frac{x^{2} +4x}{2} \\24\times2=x^{2} +4x\\48=x^{2} +4x\\x^{2} +4x-48=0\\[/tex]

This can only be solved by the quadratic formula.

[tex]x=\frac{-b\pm\sqrt {b^{2}-4ac }}{2a}[/tex]

where;

[tex]a=1\\b=4\\c=-48[/tex]

and we get,

[tex]x=-2\pm2\sqrt13[/tex]

[tex]\rule{200}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

      The radius of a circle is 10 m. Find its area to the nearest whole number.

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We're asked to find the area of the circle, which we can find using the following formula:-

[tex]\bold{Area_{(circle)}=\pi r^2}[/tex]

Where:-

[tex]\dagger[/tex] Substitute 10 for r and 3.14 for π:-

[tex]\hookrightarrow\sf{A=3.14\times(10^2)}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\bold{A=3.14\times100}[/tex]

[tex]\bigstar[/tex] On further simplification,

[tex]\bold{A=314}[/tex]

[tex]\bigstar[/tex] The Area is:-

[tex]\bold{A=314\:m^2}[/tex]

[tex]\square\!\!\!\!\!\!\bigstar[/tex] Note:- Area is always measured in units² (units squared)

[tex]\rule{300}{3}[/tex]

Answer:

A is the answer

Step-by-step explanation:

because 3 is shaded

and there is 5 rows with three shaded

Using linear function concepts, it is found that the representation of the value of 4,000 is given by:

B the gallons of water initially in the pool.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the amount of water in the pool after x hours is modeled by:

y = -720 x + 4000.

4000 is the y-intercept, which is the initial amount of water in the pool, hence option B is correct.

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The area of the kite will be C. 14 square units.

From the information given, on coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1),

The area of the kite will be;

= 2(1/2 × 7 × 2)

= 2 ×7

= 14 units²

Therefore, the area of the kite will be 14 square units.

In conclusion, the correct option is C.

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Answer:

14 square units

Step-by-step explanation:

Answer: 128.7

Step-by-step explanation:

Answer:

512

Step-by-step explanation:

or is the 4 4 a fraction? if it was a fraction, it is 32 bc 4 4 = 1.

Answer:

1) C (Not Sure as Much as I do for #2 & #3)
2) D
3) C

Answer:

Step-by-step explanation:

We have a transversal and lines intersecting with it.

The angle measures formed by the lines and the transversal are not all equal to each other.

Four of the angles measure 85° and one 79°.

These are corresponding angles (the angles which occupy the same relative position at each intersection where a straight line, transversal,  crosses two or more others).

If corresponding angles are equal, the lines are parallel.

In our case all the lines intersecting the transversal are parallel apart from the one with different angle measure.

Therefore, correct answer choice is:

Answer:

60π

Step-by-step explanation:

Formula for surface area of a cylinder is 2πrh + 2r²π

2πrh: this is the formula to find the area of the cylinder itself (circumference of the base times the height of the cylinder)

2r²π: this is the formula to find the area of the 2 circles at the end of the cylinder (area of a circle times 2)

We can substitute h with 7 and r with 3 to solve:

2πrh + 2r²π

2(3)(7)π + 2π(3²)

42π + 18π

60π

That is your answer

- Kan Academy Advance

Answer:

C. -18

I hope that this helped you.

Answer:

  C.  -18

Step-by-step explanation:

The value of the expression is found by substituting the given value for the variable and following the Order of Operations to evaluate it.

__

  [tex]\dfrac{2(4(6-t)^2+t-3(t+5))}{3}\qquad\text{given}\\\\=\dfrac{2(4(6-6)^2+6-3(6+5))}{3}=\dfrac{2(4(0^2)+6-3(11))}{3}=\dfrac{2(6-33)}{3}\\\\=\dfrac{2(-27)}{3}=\dfrac{-54}{3}=\boxed{-18}[/tex]

_____

Additional comment

In this instance, the Order of Operations can be shortcut a bit by factoring 3 from the numerator and denominator early in the evaluation.

  = 2(2 -11) = 2(-9) = -18

Answer:

use The Law of Cosines first to calculate the largest angle. then use The Law of Sines to find another angle. and finally, use the angles of a triangle add to 180° to find the last angle.

Step-by-step explanation:

The scalene triangle is a type of triangle with sides of three different lengths and angles of three different measurements. In every scalene triangle, the shortest side is opposite the smallest angle and the longest side is opposite the largest angle.

Answer:

see the attachment!

i hope this can help you!

Answer:

6

Step-by-step explanation:

you times it and you get the answer

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

The air plane descends 15 feels every 1.45 seconds, so it's unit rate is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{15}{1.45} \: \: ft / sec[/tex]

Now we have to calculate the descent in 3.5 minutes ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{15}{1.45} \: \: \times 3.5 \times 60[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2172.41 \: \: ft[/tex]

So, the airplane descends 2172.41 feels in three and a half minutes ~

Answer:

WX < YW < XY

Step-by-step explanation:

Sum of all angles of triangle = 180

  114 + 53 + ∠y = 180

           167 + ∠Y = 180

                   ∠Y = 180 - 167

                  ∠Y = 13

The side opposite to smallest angle is shortest.

Angles in ascending order: ∠Y < ∠X < ∠W

Sides in ascending order: WX < YW < XY

Answer:

If I'm right, the answers should be 40.

Answer:

2340

Step-by-step explanation:

4590*.51=2340.9

Because you can not have .9 people, you round down to 2340

2341 students are in the freshman class.

Percentage is defined as ratio expressed as a fraction of 100.

Total no. of students in the freshman Economics majors = 4590

51% students of a university's freshman class,

Let x no. of students in the freshman class,

x = 51/100×(4590)

x = 0.51×(4590)

x = 2340.9

x = 2340.9 ≈ 2341

Hence, 2341 students are in the freshman class.

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Answer:

    27. (4) 4 in

    28. (2) 13

Step-by-step explanation:

Question 27

Question 28

Answer:

The line should be a negative sloping line that looks something like this:

The limit of the expression [tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]a s x approaches 3 is -1/2

The expression is given as:

[tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]

As the variable x approaches 3, the limit is represented as:

[tex]\lim_{x \to 3} f(x)[/tex]

So, we have:

[tex]\lim_{x \to 3} = \frac{3^2 - 12}{3^2 - 3}[/tex]

Evaluate the exponents

[tex]\lim_{x \to 3} = \frac{-3}{6}[/tex]

Evaluate the quotient

[tex]\lim_{x \to 3} = -\frac{1}{2}[/tex]

Hence, the limit of the expression as x approaches 3 is -1/2

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Answer:

B. 7/3

Step-by-step explanation:

Took the final test and this was the correct answer

Answer:

Step-by-step explanation:

Assuming the question is x^2 + 6x = 27x, subtract 6x from both sides.       x^2 = 21x. Then, divide both sides by x and you get x= 0, 21

Answer:

x=-1

Step-by-step explanation:

x+2-1=0

-1+2=1

1-1=0

y=0

Answer:

X = -2

Step-by-step explanation:

Y = | (-2) + 2 | - 1

Y = |0| - 1

y = -1

Answer:

75 more girls.

Explanation:-

Given:- Ratio of girls to boys = 5:3

And, the number of boys= 300

Let boys be 4x and girls be 5x

So, 4x = 300 (Given)

x = 300/4 = 75

Thus number of girls:- 5x = 5×75= 375 girls

now you take the 375 girls minus the 300 boys.

375-300 = 75 Girls more

~~~~-Hope this helped-~~~~

Assuming that L and d are known numbers, we can write.

[tex]W = \frac{49d + 91}{L}[/tex]

Remember that for a rectangle of width W and length L, the area is given by:

A = L*W

In this case, the area is 49d + 91, and the length is a known number, so we know the value of L.

Then we can write:

A = L*W =  49d + 91

To get the value of W, we need to isolate it on one side of the equation.

We can do that by dividing both sides by L.

[tex]W = \frac{49d + 91}{L}[/tex]

We assume that d and L are known, so with the above rational expression, we have W totally determined.

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Answer:

b

Step-by-step explanation:

Answer:

y = 4 - x / 2

Step-by-step explanation:

y = 2x - 4

x = 2y - 4

y = 4 - x

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