hello can you help me with this trigonometry question and in the question I have to answer it in radians hopefully you can help me please

ANSWER

854x

EXPLANATION

We have that:

850x + 40(x)

First, expand the bracket:

850x + 40x

Because the two terms are of the same kind (terms of x) we can add them up:

850x + 4x = 854x

That is the answer.

The first problem is modeled by the following inequality:

The second problem is represented by

The third problem is represented by

Observe that, "spending" refers to subtraction, "earnings" refers to addition. Also, the variables represent time. Additionally, "less than" is expressed as "<", "as much as or more than" is expressed as >=.

Answer:

3.1? 4.0? 3.0000001?

I did not know what are you mean sorry but uf i correct say me it

If the probability of failing a test is 0.115 if you consider a group of 12 people taking a test on a given day, then the probability that two or more of them will fail the test is 0.41

The probability of failing a test = 0.115

Total number of people = 12

We have to find the probability that two or more of them will fail the test

We know the binomial distribution

P(X≥2) = 1 - P(X<2)

= 1 - P(X=0) - P(X=1)

P(X≥2)= 1 -  [tex](12C_{0}) (0.115^0)(1-0.115)^{12}[/tex] - [tex](12C_{1}) (0.115^1)(1-0.115)^{11}[/tex]

= 0.41

Hence, if the probability of failing a test is 0.115 if you consider a group of 12 people taking a test on a given day, then the probability that two or more of them will fail the test is 0.41

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Answer:

g = 105

Explanation:

We want to find the value of g if

We multiply both sides of the equation by 7

Therefore, the value of g is 105

Answer:

[tex]15=g/7[/tex]

We can get the value of g by multiplying the denominator, which in this case is 7.

So,

[tex]g = 15 x 7\\ g=105[/tex]

Given:

The number of total students = 200

The number of students like cooking = 61

The number of students who like reading = 32

The number of students who like both cooking and reading= 19

The number of students who like video games = 73

The number of students who like cooking and video games= 23

The number of students who like reading and video games = 92

The number of students who like all 3 hobbies = 6

Required:

(a)

we have that

The trapezoidal approximation is equal to

where

a=0

b=10

f(a)=f(0)=0.05

f(b)=f(10)=0.043

substitute given values

therefore

The question provides the following parameters:

For 15 minutes, the z-score is calculated using the formula:

At x = 15:

The probability is calculated using the formula:

The expected number of callers will be calculated using the formula:

Therefore, the expected number of callers whose calls last less than 15 minutes is 570 callers.

If AC denote the ladder and B be foot of the wall the length of the ladder AC be x metres then the length of the ladder exists 5 m.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.

Let AC denote the ladder and B be foot of the wall. Let the length of the ladder AC be x metres.

Given that ∠ CAB = 60° and AB = 2.5 m In the right Δ CAB,

cos 60° = AB / AC

simplifying the above equation, we get

⇒ AC = AB / (cos 60°)

x =2 × 2.5 = 5 m

Therefore, the length of the ladder exists 5 m.

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Given:

The quadratic model of the ball is given as:

Required:

Find the time when it takes to hit the ground.

Explanation:

When the ball hits the ground then h(t)=0.

Solve the quadratic equation by using the middle term splitting method.

Since time can not be negative.

So t = 7 sec

Final Answer:

The ball will take 7 sec to hits the ground.

Length of screwdriver = 0.75

Length of road = 18cm

Number of screws that can be placed on a road

Answer:

A. 6

Step-by-step explanation:

Using the Pythagorean theorem which states that: Hypotenus² = Opposite² + Adjacent²

Where: hypotenus = 10, opposite = x, adjacent = 8

So:

[tex] {10}^{2} = {x}^{2} + {8}^{2} [/tex]

Solving for x

[tex]100 = {x}^{2} + 64[/tex]

Collect like terms to make x the subject of formula

[tex]100 - 64 = {x}^{2} →36 = {x}^{2} [/tex]

[tex]36 = {x}^{2} ⟹ {x}^{2} = 36[/tex]

square root both sides of the equation to find the value of x

[tex] \sqrt{ {x}^{2} } = \sqrt{36} →x = 6[/tex]

Therefore: Option A is correct

To Determine: How to determine a relation is function on a GRAPH

In other to achieve this, we will use the vertical test

If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function

Check the image below for a better clarification

With the use of the vertical line test, the graph in OPTION C and OPTION D are functions and the graph in OPTION A and B are not functions

In summary, you determine a relation is a function on a graph by using a vertical line test

we know that

The domain is the set of all possible values of x and the range is the set of all possible values of y

so

In this problem

The domain is the interval {-6,5}

The range is the interval {-2,1}

Intercepts

we have

x-intercepts (values of x when the value of y is equal to zero)

x=-5,x=0 and x=3

y-intercepts (values of y when the value of x is equal to zero)

y=0

Maximum value y=1

Minimum value y=-2

Increasing intervals

{-6,4}, {2,3}

Decreasing intervals

{-1,2} and {3,5}

To find the amount of servings, we just need to divide the entire bar weight by the serving weight. Solving this calculation, we have

Given:

The number of sides in a given polygon is n = 5.

The length of each side is s = 8

The length of the apothem is a = 5.5

To find:

The area of the regular polygon

Explanation:

The formula of the area of the regular polygon is,

Thus, the area of the given regular polygon is 110 square units.

Final answer:

The area of the regular polygon is 110 square units.

We know that a geometric sequence is given by:

where r is the common ratio of the sequence.

For this sequence we have that the common ratio is r=2, this comes from the fact that in the first day we have 6 dots, for the second day we have twelve and for the third day we have 24. We also notice that the first term is:

Therefore the sequence is given by:

Now, to find the zeoth term we plug n=0 in the sequence above, therefore the zeroth term is:

the fact that both functions are polynomial of degree 1 we get that the domain and range of both functions are the real numbers. In intervalo notation this is:

The given expression is:

It is required to write the expression in factored form.

Next, factor out 3 in the last two terms of the expression:

Factor out the binomial 2x+5 in the expression:

Consider the first, third, and fifth terms of the sequence: p,q,r; these are consecutive letters starting with p.

Similarly, as for the second, fourth, and sixth terms: g,h, i; these are consecutive letters starting with g.

Thus, the seventh term has to be the letter that follows r; this is, s.

Analogously, the eighth and ninth terms are

Thus, the missing terms are: s, j, and t.

The statements in (A), (B), (E) are correct and satisfy the conditions in question.

What is ratio and proportion?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion. Because b is not equal to 0, the ratio establishes the link between two quantities such as a:b.

Given, for every 7 kids, pizzas needed = 3 --(iii)
Therefore, for every 1 kid, pizza needed = (3/7)
Thus, for every x kids, pizza needed = (3/7)x
Again, ratio of pizzas to kids is = 3:7 --(i)
Also, the ratio of kids to pizza is = 7:3 --(ii)
From (A), using (ii), the statement in (A) is correct.
From (B), using (ii), the statement in (B) is correct.
From (C), using (i), the statement in (C) is incorrect.
From (D), using (i), the statement in (D) is incorrect.
From (E), using (iii), the statement in (E) is correct.
Thus, the statements in (A), (B), (E) are correct and satisfy the conditions in question.

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Julie has $250 to plan the party.

The room costs $175 to reserve plus $1.25 per person for food and drinks.

Let "x" represent the number of people she can invite, you can express the total cost for the party as follows:

From this expression, we can determine the number of people she can invite, without exceeding the $250 budget.

The first step is to pass 175 to the right side of the expression by applying the opposite operation "-175" to both sides of it:

Next, divide both sides of the equation by 1.25 to reach the value of x:

She can invite up to 60 people to the party

If two triangles are said to be congruent, then they must have equal side lengths and equal angle measures.

See a sketch of triangles JKL and TUV below:

As shown in the sketch above:

- The side JK is equal in length as with the side TU

- The angle L is equal in measure as with the angle V

- The side LJ is equal in length as with the side VT

- The angle K is equal in measure as with the angle U

Therefore, we can NOT conclude that the angle J is equal in measure as with the angle V: Option B

You can notice that the given function is symmetric respect to the y-axis.

It means that the value of the function for both x and -x is the same:

This is the characteristic of a even function.

Hence, the answer is B

Given:

Two ships left a port at the same time.

One travelled due north at an average speed of 25.5 km/h

And the other ship was due east at average speeds of 20.8 km/h

We will find their distance apart using the Pythagorean theorem.

The distance = Speed * Time

Let the time = t

So, the distance of the first ship = 25.5t

And the distance of the second ship = 20.8t

So, the distance between the ships (d) will be as follows:

So, the answer will be:

The distance in terms of time = 32.907t

We will find the distance when t = hours

So, distance = 164.54 km

From the present question, it is said that the scale of a model is equal to:

It means that the ratio of the size of the model and the real size of the giant squid must be always this same value. It was given that the size of the model is 5 in. Because we don't know the size of the real-life giant squid, we will use it as x. From this, we can write the following relation:

Now, we just need to isolate x in the present relation to find how tall would be a giant squid in real life.

From the solution developed above, we conclude that the real-life giant squid would be 12.5 ft tall.

In this problem

Divide total skills by the total night per week

so

7/5=1.4 skills per night

therefore

Let

x ----> number of night

y ----> total skills

so

The x intercept is the value of x at the point where the curve touches the x axis of the graph. Looking at the graph,

x intercept = - 1

It is written as (- 1, 0)

The zeros of the quadratic function is the same as the x intercept. Since the curve touches the x axis at only x = - 1, the zeros would be

x = - 1 twice

Solving the operation_

We are given two figures that represent a garden. We are asked to determine its areas.

The shape of figure A is a rectangle of 9 ft by 12 ft. The area of a rectangle is the product of its dimensions therefore, we have:

Solving the operations:

The shape of figure B is a circle of radius 5ft. The area of a circle is:

Where "r" is the radius. Substituting we get:

In decimal notation, the area is: