cos 60 degrees=1/2 and sin 60 degrees = square root 3/2 true or false

Let t be the time elapsed in hours, starting at 8:00 A.M. So t = 0 at 8:00 A.M. and t = 3 at 11:00 A.M. The distance traveled by the train can be expressed as the definite integral of its velocity with respect to time:

distance = ∫(87 mph) dt from t = 0 to t = 3

Since mph is a unit of speed, we need to convert it to a unit of velocity (feet per second) in order to evaluate the integral:

87 mph = 87 miles/hour × 5280 feet/mile = 454840 feet/hour

distance = ∫(454840 ft/hr) dt from t = 0 to t = 3

distance = 454840 ft/hr * t from t = 0 to t = 3

distance = 454840 ft/hr * 3 hours

distance = 1364520 feet

So, the train travels a distance of 1364520 feet from 8:00 A.M. to 11:00 A.M.

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The Equation of line is 3x - y + 24 =0.

Given:

The table is given by:

X: 0 1 2 3 4 5 6 7

Y:-8 -5 -2 -1 -1 2 5 8

To find the equation of line by using the above data.

Now, According to the question:

From the table, We have

We know that,

Slope (m) = \(\frac{y_{2}-y_{1} }{x_{2} - x_{1} }\)

and, slope (m) = \(\frac{-5-(-8)}{1-0}\)

m = (-5 + 8)/ 1 = 3

So, \(y - y_{1} = m (x - x_{1} )\)

y - 0 = 3 (x - (-8))

y = 3(x + 8)

y = 3x + 24

Hence, The Equation of line is 3x - y + 24 =0.

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Answer:

A = 228 tickets

Step-by-step explanation:

We need to set up a system of equation to find the number of adult tickets sold, where A represents the adult tickets and S represents the student tickets.

Because the number of adult and student tickets together equals 506, we have A + S = 506.

Because there are 56 more student tickets than adult tickets we have A + 56 = S

And the way the system is already set up allows us to use substitution.

Thus, we have:

\(A + S=506\\A+56 = S\\\\A+A+56 =506\\2A+56=506\\2A=456\\\\A=228\\228+56=S\\278=S\)

The number of student tickets was not necessary to find in this problem, but I found anyway just in case you wanted check the work or wanted to prove the validity of the values.

Answer:

3(3px + 4y)(3px - 4y)

Step-by-step Explanation:

This is the answer because:

1) We can factor using the difference of squares formula.

2) a^2 − b^2 = (a + b) (a − b) where a = 3px and b = 4y .

Hope this helps!

The correct option is the Measurement and Comparison strand.

When families play "fill and dump" activities and explore large and small objects with children, they are likely extending learning in the Measurement and Comparison strand of the mathematics curriculum. This strand involves understanding and using concepts of size, weight, capacity, and length to compare, measure, and describe objects and events. Activities like filling and dumping containers of different sizes and comparing the quantities of objects can help children develop their understanding of these concepts and their ability to compare and measure objects.

The Number and Quantity strand involves understanding and using numbers and number concepts to count, compare, and describe quantities. The Geometry and Spatial Thinking strand involves understanding and using geometric concepts and spatial reasoning to describe, analyze, and compare shapes and spatial relationships. The Mathematical Reasoning strand involves using logical thinking and problem-solving skills to make sense of mathematical ideas and solve problems. All of these strands are important for children's overall mathematical development and can be supported through a variety of activities and experiences.

Answer:

31.5 i think

Step-by-step explanation:i used multi if its wrong im so sorry

Answer:

10.50$

Step-by-step explanation:

if you divide the cost of 3 oranges by 1 orange you get one oranges price then multiply it by 18.

Answer:

r = 5

Step-by-step explanation:

-12r + 24 = -36

-12r = -36 - 24

12r = 60

r = 5

Hope this helps!

Have a nice day!

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Answer:

there is no word problem it is just a big cross

Step-by-step explanation:

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

The value of angle x in the straight line is 41 degrees.

The sum of angles on a straight line is 180 degrees. In other words, angles on a straight line add up to 180°. Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.

Therefore, let's find the angles x.

Using sum of angles on a straight line,

x + 139 = 180

subtract 139 from both sides of the equation

x + 139 - 139 = 180 - 139

Hence,

x = 41 degrees

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Answer: \(-7^2 * 5^4\)

Step-by-step explanation:

Answer:

fast as heck 0.o (i think 170

Step-by-step explanation:

Answer:

Step-by-step explanation:

solution:

            Data,

                      driving speed of car intially velocity at = Vi = 60km/h

                      the speed was then raised to final velocity at = Vf = 70km/h

                       the total period of speed raised = t = 5 sec

            Req,    acceleration = ?

                     put the formulae :  a =  Vf - Vi/t

                            a = 70 - 60/5

                             a =  2 m/sec2 ans

Answer:

6(3x−4y)

Step-by-step explanation:

Answer: 2x + 43 is already solved  and so is x 1/3 and x < 1/3

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

Answer:

  f(x) = (x +6)(x -5)  or  f(x) = x² +x -30

Step-by-step explanation:

You want a quadratic function whose zeros are -6 and +5.

If p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...

  f(x) = (x -(-6))·(x -5)

  f(x) = (x +6)(x -5) . . . . . . . . simplify a bit

This can be put in standard form by multiplying the factors:

  f(x) = x(x -5) +6(x -5) = x² -5x +6x -30

  f(x) = x² +x -30 . . . . . . . . simplified quadratic function

The quadratic function of the zeros is f(x) = \(x^2+x-30\).

What is quadratic function?

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.

Here the zeros of the function is -6 and 5.

We know that if zeros of the function is a then the factor is (x-a).

Then,

=> f(x) = (x-(-6))(x-5)

=> f(x) = (x+6)(x-5)

=> f(x) = \(x^2+6x-5x-30\)

=> f(x) = \(x^2+x-30\)

Hence the quadradic function is f(x) = \(x^2+x-30\).

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Answer:

32≠10

False

Step-by-step explanation:

Answer:

d) 1/12

Step-by-step explanation:

Answer:

the second choice

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.

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Answer:

9/-24  or ~ -0.38

Step-by-step explanation:

x       y

3      9

12   -15

from 9 to -15 it will be subtracting 24

From 3 to 12 it will be adding 9

y/x = 9/-24  or -0.375 ~ -0.38

Answer:

\( \huge{ \boxed{ \bold{ \tt{ - 2x + 1}}}}\)

Distribute 2 through the parentheses

\( \dashrightarrow{ \sf{5 - 2x - 4}}\)

Now , subtract 4 from 5

\( \dashrightarrow{ \boxed{\sf{ - 2x + 1}}}\)

Therefore , Option A is the best choice.

Hope I helped!

Have a wonderful time! ツ

~TheAnimeGirl

Given that,

Total number of snails shells and shark teeth = 60

The ratio of snail shells to shark teeth is 5:1

To find,

Total no of snail shells used by the Jeweler.

Solution,

Let there are 5x snail shells and x shark shells.

According to question,

5x+x = 60

6x = 60

x = 10

Snail shell = 5x

= 5(10)

= 50

Hence, he uses 50 snail shells.

Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer:

is 12 taro 7 fjuvdkb 7+€77*+"-{$=jjjjdjfjf

Step-by-step explanation:

\( \frac{4 \times - 6}{12 \times 2} \)

\( = \frac{ - 24}{24} \)

\( = - 1\)

Answer:

OA d= pp they are represents the relationship between displacement and power

Answer:

18

Step-by-step explanation:

The solution set of the equation will be;

⇒ x = 18

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''2/3 of a number is 12."

Now,

Since, The expression is,

''2/3 of a number is 12."

Let a number = x

So, We can formulate;

⇒ 2/3 of x = 12

⇒ 2/3 × x = 12

⇒ 2x = 12 × 3

⇒ 2x = 36

⇒ x = 36/2

⇒ x = 18

Thus, The solution set of the equation will be;

⇒ x = 18

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