Select the correct answer from each drop-down menu. use . a boy weighing kilograms is riding a skateboard. he’s moving at 2 meters/second and has 40 joules of kinetic energy. he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules.

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:

Step-by-step explanation:

Figure Interpretation:

m∠CBA + m∠CDE = 180

m∠BCA = (180-m∠CBA)/2

m∠DCE = (180-m∠CDE)/2

=======================

Then

m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2

                                = [360-(m∠CBA+m∠CDE)]/2

                                = [360 - 180]/2

                                = 90

finally,

m∠ACE= 180 - (m∠BCA + m∠DCE)

             = 180 - 90

             = 90

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:

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

[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]

The value of cot x/2 is √3/√5.

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.

given:

cos x=-1/4

sin x= √15/4

cosec x= 4/√15

and, cot x= -1/√15

Now, cot x/2= cosec x+ cot x

= 4/√15-1/√15

= 3/√15

= √3/√5

Hence, the value of cot x/2 is  √3/√5.

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Answer:

still don't get it

Step-by-step explanation:

but please write it in an understanding meaning

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:

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:

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:

Linear

Step-by-step explanation:

X = X + 1

Y= Y *3

A table of data is linear if there is a constant average rate of change between all pairs of points

There is because X is being added one every time and Y is being multiplied by 3 every time.

Hope this helps!

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-~~~~

Answer:

y = 4 - x / 2

Step-by-step explanation:

y = 2x - 4

x = 2y - 4

y = 4 - x

----------

2

Answer:

b

Step-by-step explanation:

Answer:

    27. (4) 4 in

    28. (2) 13

Step-by-step explanation:

Question 27

Question 28

The ratio of the area of sector abc to the area of sector dbe is 4:3

The formula for calculating the area of a sector is expressed as:

A = r²Ф

where:

For the sector ABC

A1 = (2r)²β
A1 = 4r²β

For the sector DBE
A2 = (r)²3β
A2 = 3r²β

Take the ratios

Ratio= A1/A2
Ratio = 4r²β/3r²β
Ratio = 4/3

Hence the ratio of the area of sector abc to the area of sector dbe is 4:3

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Answer:

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

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:

To find a certain part of the arc:

   ⇒ we find a fraction of the circumference

Based on the diagram and information given:

         ⇒ which spans 116 degrees of the entire 360 degrees the whole

             arc covers

Thus let's solve:

  [tex]Length_.of_.arc = (\frac{116}{360})*(2*\pi *14)[/tex] ≈ [tex]28.34_.meters[/tex]

Answer: 28.34 meters

Hope that helps!

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:

See below ~

Step-by-step explanation:

Question 4

Finding the lateral area :

⇒ Lateral area = 2πrh

⇒ Lateral area = 2π(8)(20)

⇒ Lateral area = 320π cm²

===============================================================

Finding the surface area :

⇒ Surface area = Lateral area + 2 × area of the circle

⇒ Surface area = 320π + 2 × π(8)²

⇒ Surface area = 320π + 128π

⇒ Surface area = 448π cm²

=============================================================

Question 5

⇒ In this scenario, the part that is painted is the lateral area

⇒ Area painted = 6 × 4 × 170

⇒ Area painted = 24 x 170

⇒ Area painted = 4,080 mm³

Answer: 128.7

Step-by-step explanation:

Answer:

A is the answer

Step-by-step explanation:

because 3 is shaded

and there is 5 rows with three shaded

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:

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

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:

6

Step-by-step explanation:

you times it and you get the answer

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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