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Answer: D. Law Of Cosines

Step-by-step explanation: A law in trigonometry: the square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.

Note: Answer is confirmed by Buzz/Acceleration Education.

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The sum of the interior angle of the triangle is 180 degrees. Then by the sine rule, angle E can be determined. Then the correct option is A.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

For triangle DEF, the length of side e and the measures of angles D and F are known.

We know that the sum of the interior angle of the triangle is 180 degrees. Then the angle E can be determined.

Hence the sine rule is easy to apply.

More about the trigonometry link is given below.

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Step-by-step explanation:

The answer is scalene triangle

Answer:

scalene

Step-by-step explanation:

all the sides of a scalene triangle have different lengths, as shown in the picture :)

Answer:

248 cm

Step-by-step explanation:

62×4=248

62+62=124+64=186+64=248 cm

Answer:

The polynomial in the standard form of this expression would be [tex]3x^3-8x^2+7x-2[/tex].

Step-by-step explanation:

If you are trying to expand a binomial multiplied by a trinomial, you need to multiply each term from the binomial to each term in the trinomial. In this case, [tex](3x-2)(x^2-2x+1)=3x^3-6x^2+3x-2x^2+4x-2=3x^3-8x^2+7x-2[/tex], so that will be the answer.

C

Step-by-step explanation:

hope this helps

Answer:

37

Step-by-step explanation:

the equation is /a^2 + b^2 =c

so 12^2=144 and 35^2=1225

144+1225=1413

the square root of 1413 is equal to 37

Answer:

17 meters

Step-by-step explanation:

Plug x=30 into the equation H(x) = 11 + 0.2x

H(30) = 11 + 0.2 * 30

H(30) = 11 + 6

H(30) = 17

Thus, the answer is 17 meters.

Answer:

solution given:

For triangle

side1=9ft

side2=10ft

base[b]=11ft

height[h]=7.7ft

and for rectangle

length [l]=3ft

wide [w]=9ft

Now

total surface area=lateral surface area +2curved surface area

=perimeter of triangle×length +2area of triangle

=(9+10+11)×3+2×1/2×2(½×b*h)

=90+11×7.7

=174.7

=175ft²is a required answer.

Answer:

John

Step-by-step explanation:

3/4 > 3/8

3/4 = 6/8

6/8 > 3/8

Answer:  b = 14/3 = 4.667 feet

The decimal value is approximate. In reality the 6's go on forever. Round that however you need to.

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

Work Shown:

b = unknown base

h = height = 6 ft

A = area = 14 sq ft

A = b*h/2

14 = b*6/2

14 = b*3

14 = 3b

3b = 14

b = 14/3

This approximates to 14/3 = 4.667 ft

The perimeter goes from 24 to 72

24*3 = 72

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Explanation:

I recommend plotting the four points on the same xy grid system. Connect the points with segments to form a rectangle. This rectangle is also a square. You should find that each side of the square is 6 units long, so the perimeter is 4*6 = 24 units.

If we multiply each coordinate by 3, then that will make each side length 3 times longer than before. That means each side is now 6*3 = 18 units long. The perimeter is 4*18 = 72 units.

Note how the jump from 24 to 72 is "times 3". Therefore, the scale factor of 3 will make the new perimeter 3 times longer compared to the old perimeter.

Answer:

94 yards

Step-by-step explanation:

2x47=94

Answer:

HII

1

Step-by-step explanation:

Answer:

for the number 13

Step-by-step explanation:

[tex]x = \sqrt{9 { }^ {2} + 6 { }^{2} }[/tex]

by Pythagoras theorem

x= √81+36

x= √117

punch square root of 117 with a calculator, I don't have one now

Answer:

Regular Price = $56

Step-by-step explanation:

3/4 x = 42

42/3 * 4 = x

14 * 4 = 56

x - 56

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-Chetan K

Answer:

D

Step-by-step explanation:

Answer:

Proved , since LHS= RHS

Step-by-step explanation:

We need to prove the given expression ,

=> 1 + cos x / 1 + sec x = cos x

=> 1 + cos (x) / 1 + sec (x)

=> 1 + cos (x) / 1 + 1/cos (x)

=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)

=> 1 + cos (x) × cos(x) / { 1 + cos (x) }

=> cos (x)

= RHS

Answer:

True :)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

got it right

Answer:

https://www.arlingtonschools.org/cms/lib/NY02215626/Centricity/Domain/5167/Skill39AK.pdf

Step-by-step explanation:

Answer:

So are we doing permutations

Step-by-step explanation:

P(14,5)14*13*12*11*10

There are 240,240 ways to order the team.

There are 240 ways a starting team of 5 players can be chosen from a team of 14 players.

The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.

Suppose there are n items.

Suppose we have

[tex]i_1, i_2, ..., i_k[/tex]

sized groups of identical items.

Then the permutations of their arrangements is given as

[tex]\dfrac{n!}{i_1! \times i_2! \times ... \times i_k!}[/tex]

P(14,5) = 14 x 13 x 12 x 11 x 10

           = 240

There are 240 ways to order a team of 14 players.

Learn more about permutations here:

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Answer:

22

Step-by-step explanation:

4 x 2 + 7 x 2 = 22

Answer: 22

Step-by-step explanation:

to find perimeter you have to add up all the sides around a shape.

7 + 7 + 4 + 4 = 22

OR

7+7= 14

4 + 4 = 8

14 + 8 = 22

Answer:

picture??

Step-by-step explanation:

Answer:

9 is the answer of this question

Answer:

18) A: only if you have an additional point not on the line.

19) D: No, because all the points may be on the same line.

Step-by-step explanation:

There are basically 4 ways we can determine a plane and they are;

- When we have three non - collinear points: What this means is that if we have three points that are not on one line, then it means that only one particular plane can pass through those points.

- When we have a line and a point that's not on the line

- When we have two lines that intersect each other.

- When we have two lines that are parallel to each other.

From the four conditions above, we can now answer the question;

18) You can only have a plane if there is an additional point not on the line.

Option A

19) Having just three points may not always be sufficient to have a plane because it's possible that the three points may be on the same line which is not a condition for a plane. Thus, option D is correct.

Answer:

62.8 ft³

Step-by-step explanation:

Volume = π · r² · h

V = 3.14 · 2² · 5

V = 3.14 · 4 · 5

V = 62.8

Answer:

to every 3 buckets with a shovel there is 4 buckets without a shovel

Answer:

Step-by-step explanation:

The zeros are the values of x for which f(x) = 0.

f(x) = (x-3)(2x-8) = 0

x = 3, 4