**Answer:**

8 × sin(35)

**Step-by-step explanation:**

remember the trigonometric norm circle and the triangle inside describing with its sides the trigonometric function values of the angle at the center of the circle.

sine is the vertical side, cosine is the horizontal side.

and the longest side really creating that angle at the center is the radius (going all the way from the center to the circle arc).

do not forget, the trigonometric functions sine, cosine, ... deliver values for the norm circle only (radius = 1).

for any circle larger or smaller these function values need to be multiplied by the actual radius to get the actual side lengths of the triangle.

now, we are allowed to rotate or twist/turn a given right-angled triangle to be oriented like the basic trigonometric triangle.

in our case we can simply flip things upside-down.

and we see, BC is simply sine of 35° (multiplied by the radius 8).

it does not matter that it is originally pointing down. it is for the angle 35°, and sine of angles 0° <= angle <= 180° must be positive.

Question

Evaluate the expression when a=14 and b=6.

−8ab=

**Answer:**

**Step-by-step explanation:**

-672 would be your answer

In certain deep parts of oceans, the pressure of sea water, P, in pounds per square foot, at a depth of d feet below the surface, is given by the following equation:

P = 16+4d/9

If a scientific team uses special equipment to measures the pressure under water and finds it to be 172 pounds per square foot, at what depth is the team

making their measurements?

Answer: The team is measuring at ???? feet below the surface.

Therefore , the solution of given problem of **equation **comes out to be

P is equal to 12 pounds per square foot.

Define equation.Comparable to a balance scale, an equation. The equation (or scale) is out of balance if we add or subtract **variable** from one side. We also Must keep the "scale" (or equation) balanced while solving math equations such that both parts are always equal as **expression **are equal.

Here,

P= p = 12 + 4/9d is the equation that describes the relationship between the pressure,

p, of sea water in some deep ocean regions and the depth, d, below the surface.

Where

In pounds per square foot, p.

in feet is d

1) At a depth, seawater has a pressure of 85 pounds per square foot.

85 = 12 + 4/9d

4.9d/9 = 85 - 12 = 73

By xing it out, it becomes

4.9d = 73 × 9 = 657

d = 657/4.9

d = 134.1 feet

2) At 85 feet just below water's surface, the pressure of saltwater is

p = 12 + 4/9 × 85 = 12 + 4/765

P is equal to 12 pounds per square foot.

Therefore , the solution of given problem of equation comes out to be

P is equal to 12 pounds per square foot.

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Carrie solved -8 = 2y - 2 and got the solution y = 3 is she correct

**Answer:**

**No**

**y**** ****=**** ****–****3**

**Step-by-step explanation:**

**s****o****l****u****t****i****o****n**

–8 = 2y – 2

–8 + 2 = 2y

– 6 = 2y

[tex] \frac{ \\ - 6}{2 } = \frac{2y}{2} [/tex]

–3 = y

y = –3

How do the interior and exterior angles of a polygon relate? *

They are congruent

O They are supplementary

O They are complementary

There is no relations

** **The relationship between the **interior **and **exterior angles **of a** polygon **is they are **supplementary.**

**What is a regular polygon?**

If a **polygon **has equal sides and angles, it is said to be **regular**. As a result, an **equilateral triangle **is a** regular triangle**, and a square is a **regular quadrilateral.**

Here,

we have to show how the **interior **and **exterior angles **of a **polygon **relate to each other.

A special rule exists for **regular polygons**: because they are equiangular, the **exterior angles** are also **congruent**, so the measure of any given exterior angle is 360/n degrees.

As a result, the **interior angles** of a **regular polygon** are all equal to 180 degrees minus the measure of the **exterior angle**(s).

Hence, ** t**he relationship between the **interior **and **exterior angles **of a** polygon **is they are **supplementary.**

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write an equation in slope-intercept form of the line given the slope- 1/4 pass through (-2,1).

On solving the question we can say that **slope intercept form **of the equation is y = -1/4x +1/2

One of the most popular ways to describe a **line's equation **is in the slope intercept form of a straight line. When the slope of the **straight **line and the y-intercept are known, the slope intercept formula may be used to get the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.

The slope intercept form is a technique for figuring out a straight line's equation in the coordinate plane. Any point's coordinates on a straight line must fulfill a certain relation, which is known as the equation of a straight line.

Any location that is not on the line will not fulfill the coordinates.

This equation's solution is simple to find. A straight line's slope, or angle of inclination from the x-axis, and the intercept it makes with the y-axis are both necessary to determine the slope intercept form of the line.

The line passes through (-2,1)

slope = -1/4

The equation of the line

y = mx + c

here m is the slope and c is the intercept.

putting the point and slope in the equation

1 = -1/4 *(-2) + c

⇒ c = 1/2

So the slope intercept form of the equation is

y = -1/4x +1/2

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Find the answer for this equation

Consider **units digit **as u and tens digit as t, so t=1/2 u is the **right equation**.

Finding the values of the variables that result in the equality is the first step in solving an **equation **with variables. The **unknown variables **are also known as the variables for which the equation must be solved, and the unknown variable values that satisfy the equality are known as the **equation's solutions**. Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain **combinations **of the **variables**' values make a conditional equation true.

given : t + u=9

1/2u+u=9 by substituting the value of t

3u=18

u=6.

t=1/2*6=3.

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PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE HELP MEEE. Which statement best describes a graph of paired points that form a proportional relationship? Responses A straight line cannot be drawn through all the points, and the line passes through the origin. A straight line cannot be drawn through all the points, and the line passes through the origin. A straight line can be drawn through all the points, and the line passes through the point (3, 0). A straight line can be drawn through all the points, and the line passes through the point , begin ordered pair 3 comma 0 end ordered pair, . A straight line can be drawn through all the points, and the line passes through the point where x = 0 and y = 0. A straight line can be drawn through all the points, and the line passes through the point where , x, = 0 and , y, = 0. A straight line can be drawn through all of the the points, but the line does not pass through the origin.

A **graph** of paired points that form a **proportional** relationship is a straight line that can be drawn through all the points, and the line passes through

the point where, x, = 0 and, y, = 0.

What are coordinates in a graph?The **coordinates** in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The equation of a line on a graph that forms a **straight** line and forms a **proportional** relationship will have to pass through the **origin**.

origin = (x, y) = (0, 0)

Thus,

The **graph** of paired points that form a **proportional** relationship is a straight line that can be drawn through all the points, and the line passes through the **origin**.

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Name the following function.

**Answer: it is not a function**

**Step-by-step explanation: occurs when there was an attempt to call a value from a function, but the value is not actually a function.**

There were some fiction and non fiction books in a second hand bookstore. The number of fiction bookw was 3/5 of non fiction bookw. After an equal number of fiction and non fiction books were sold,the ratio of the number of fiction books to the number of non fiction books left was 5:9. There were 240 books altogether at first. How many books were sold altogether?

An equation is a mathematical statement that proves two mathematical **expressions** are equal in algebra, and this is how it is most commonly used.

Give** nonfiction** books an x-factor.

Since there are three times as many fiction books as nonfiction books, we have a 3x/5 ratio, according to the question.

Due to the fact that they initially only sold two of these sorts and the fact that there were 240 volumes overall,

Due to this, the equation will be framed.

3x/5+x=240

So 8x/5=240

x=150 ( Number of non fiction books) ( no of non fiction books)

90 novels are so required.

Right at the start, this was a number.

Allow the number of** books** sold to increase.

In light of this, the equation is

Since there were 5:9 books in each category (fiction and nonfiction),

(90-y)/(150-y)=5/9

y=15

Therefore, the answer is 15.

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Please help me with this question

The** solution **to the **equation **cosh(t) = t does not exist

The equation is given as

cosh(t) = t

To solve the equation cosh(t) = t, we can start by **expressing **the equation in **terms **of e^t and e^-t.

So, we have"

cosh(t) = (e^t + e^-t)/2 = t.

Rewrite the above equation as

e^t + e^-t = 2t.

Using a **graphing calculator**, the curve of e^t + e^-t and the line of 2t do not **intersect**

Hence, the equation has no **solution**

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Find an explicit formula for the geometric sequence 3\,,\,15\,,\,75\,,\,375,...3,15,75,375,...3, comma, 15, comma, 75, comma, 375, comma, point, point, point.

Note: the first term should be \textit{a(1)}a(1)start text, a, left parenthesis, 1, right parenthesis, end text.

a(n)=a(n)=a, left parenthesis, n, right parenthesis, equals

The **explicit formula** for this **geometric sequence** 3, 15, 75, 375... is aₙ = 3(5)ⁿ⁻¹.

In Mathematics, the **nth term** of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

aₙ represents theNote: The **nth term** of a geometric sequence is equal to the explicit formula for the geometric sequence.

Next, we would determine the **common ratio **as follows;

Common ratio, r = a₂/a₁

Common ratio, r = 15/3

**Common ratio**, r = 5.

Now, we can calculate the **nth term** (explicit formula) of this geometric sequence as follows:

aₙ = a₁rⁿ⁻¹

aₙ = 3(5)ⁿ⁻¹

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Complete Question:

Find an explicit formula for the geometric sequence 3, 15, 75, 375...

A bridge is to be built across a small lake from a gazebo to a dock (see figure). The bearing from the gazebo to the dock is S 41° W. From a tree x = 90 meters from the gazebo, the bearings to the gazebo and the dock are S 74° E and S 28° E, respectively. Find the distance from the gazebo to the dock. (Round your answer to the nearest whole number.)

**Solving the triangle** we found *the distance between the gazebo and the dock is: 69.34 meters*. The answer is explained below:

The first thing to know is that to **solve any triangle** *you must know at least one side and two other elements* that can be sides or angles, that is, at least three elements of the six that make up a triangle.

Now, in the problem we know the value of one side (90 m) and 3 angles (see attached image), therefore the calculation of the distance (one side) is very easy if we apply the * law of sines*:

According to the **Law of Sines**, the ratio of the length of the sides of a triangle (not a rectangle) and their respective opposite angle sines, *is the same value*. Then:

d / sen (46°) = 90 m / sen (69 °)

After, we pass sen (46°) to the second term of the equation.

d= sen(46°)*90 m / sen (69°)

d = 0,7193*90/ 0,9335

**d = 69,34 m**

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The graph of the function f shown in the figure above has horizontal tangents atx=3 and x=6. Ifg(x)=∫02xf(t)dtwhat is the value ofg′(3)?(A) 0 (B)−1(C)−2(D)−3(E)−6

The **horizontal tangents** at x=3 and x=6 on the graph of the function f are shown in the given image. If** **[tex]g(x)=\int\limits^{2x}_0 {f(t)}\;dt[/tex], then **g'(3)** is -2. Then, **option (C)** is correct.

A function's zero slopes is indicated by a** horizontal tangent** line that runs parallel to the x-axis. The given graph of function f has horizontal tangents at x =3 and x = 6. Then, the given function is [tex]g(x)=\int\limits^{2x}_0 {f(t)}\;dt[/tex]. Then, we have to find g'(3). It is clear from the graph that f(3) = -3 and f(6) = -1.

Then, applying the** Leibnitz rule** for differentiation of the given function, we get,

[tex]\begin{aligned} g(x) &= \int^{2x}_0 f(t)\;dt\\g'(x)&=f(2x)\cdot\frac{d}{dx}(2x)-f(0)\cdot\frac{d}{dx}(0)\\&=2f(2x)\end{aligned}[/tex]

Now, substituting x = 3 in the above equation, we get,

[tex]\begin{aligned}g'(3)&=2f(2\times3)\\&=2f(6)\\&=2\times -1\\&=-2\end{aligned}[/tex]

The required **answer **is -2.

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Answer the question.

**Answer:**

16 boys and 8 girls

**Step-by-step:**

24 / 3 = 8

so 8 girls

24 - 8 = 16

and 16 boys

A passenger jet flies from one airport to another 1,213 miles away in 2.7 h. Find its average speed.

**Answer:m/s**

**Step-by-step explanation:**

**Answer:**

**To find the average speed of the passenger jet, we need to divide the distance traveled by the time it took to travel that distance.**

**Average speed = distance / time**

**In this case, the distance is 1,213 miles and the time is 2.7 h.**

**Average speed = 1213 miles / 2.7 h = 449.6 miles/h**

**So the average speed of the passenger jet is 449.6 miles per hour.**

Please help its geometry

**Answer: B**

**Step-by-step explanation:**

b is 64 because exterior angles are congruent

Select all the expressions that are equal to 89.7 divided by 10 (/=divide)

1. 897.5/100

2. 8.975/100

3.8.975/1

4.8,975/1000

5.89,750/1000

The **expression **that is equal to 89.7 ÷ 10 is 897.5/100

**Expressions **in math are mathematical statements that have a minimum of two terms containing numbers or **variables**, or both, connected by an operator in between.

Given that an **expression **89.7 ÷ 10

89.7 ÷ 10 = 8.97

1. 897.5/100

= 8.97

2. 8.975/100

= 0.08975

3. 8.975/1

= 8.975

4. 8.975/1000

= 0.008975

5. 89.750/1000

= 0.08975

Hence, the **expression **that is equal to 89.7 ÷ 10 is 897.5/100

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Find m∠ABD and m∠DBC

**Answer:**

m∠ABD=116°

m∠DBC=64°

**Step-by-step explanation:**

The sum of the two angles given equals 180°. To find the two angle measures, use the following equation:

m∠ABD+m∠DBC=180°

For this problem, m∠ABD=(7x+67)° and m∠DBC=(8x+8)°. So,

(7x+67)°+(8x+8)°=180°

15x+75=180

15x=105

x=7

Next, substitute x=7 into the original expressions for the angle measures.

m∠ABD=(7(7)+67)°

m∠ABD=(49+67)°

m∠ABD=116°

and

m∠DBC=(8(7)+8)°

m∠DBC=(56+8)°

m∠DBC=64°

what is the slope of the line -3y=12x+6

Answer:

Step-by-step explanation:

uhh

A quadratic equation has solutions of (4+i) and (4−i). Which could represent the quadratic equation?

The **quadratic equation** with solutions of (4 + i) and (4- i) is,

⇒ x² - 8x + 17 = 0

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The **solutions **of the quadratic equation are,

⇒ (4 + i) and (4- i)

Now, We know that;

A quadratic equation with roots a and b is,

⇒ x² - (a + b)x + a × b = 0

Hence, A quadratic equation with **roots **(4 + i) and (4 - i) is,

⇒ x² - (4 + i + 4 - i)x + (4 + i) (4 - i) = 0

⇒ x² - 8x + (4² - i²) = 0

⇒ x² - 8x + 16 + 1 = 0

⇒ x² - 8x + 17 = 0

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how many groups of 1/4 are in 7

**Answer:**

28

**Step-by-step explanation:**

28 groups of 1/4 goes into 7

**Answer:**

28

**Step-by-step explanation:**

This is a division problem.

7 ÷ 1/4 =

= 7/1 ÷ 1/4

= 7/1 × 4/1

= 28/1

= 28

Answer: 28

You can also solve it this way.

There are 4 1/4's in 1.

In 7, there must be 7 times as many 1/4's.

7 × 4 = 28

Answer: 28

Reasoning with linear equations

We can **rewrite** **one side** of the given **equation** using **distributive** **property**.

**What is distributive property?**

The **distributive property** states that **multiplying** the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

A, B, and C are the operands in the formula for the **distributive property**, which is written as **a (b + c) = (a b) + (a c**). Here, each term enclosed in a **bracket** **multiplies** the number outside of it, and the **results** are **added**.

The given equation is: 3(x + 2) = 18

Simplifying this,

3*x + 3*2 = 18

3x + 6 = 18

Hence, we can **rewrite** **one side** of the given **equation** using **distributive** **property**.

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a flooring tile has a shape of a parallelogram Hight is 10cm and base is 24cm how many tiles do you need to fill a room with area 1080 msq

45000 tiles we need to fill a room with **area **1080 m²

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

**Area **of floor =1080m²

Base of parallelogram shaped tile (b) =24 cm

and corresponding **height** (h)=10 cm

Area of one tile=b×h

=24×10

=240 cm²

=240/10000=24/1000 m²

**Number of tiles** required=1080/(24/1000)

=1080×1000/24

=45000 tiles

Hence, 45000 tiles we need to fill a room with **area **1080 m²

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michael and martha run a mechanic shop. in one hour michael can perform eight oil changes or change ten tires. in one hour martha can perform seven oil changes or change fourteen tires. michael and martha have the same amount of resources. given this information which of the following is true?

Based on the information given the correct option is option E.) Michael has an **absolute** and **comparative** advantage in changing the oil.

Absolute advantage refers to the ability of a country or firm to produce a good or service at a lower cost than another country or firm. It is a concept in international trade and **economic** theory.

A country or firm has an absolute advantage in a good or **service** if it can produce that good or service more efficiently than another country or firm.

An individual has a comparative **advantage** in production if it produces at a lower opportunity cost when compared with other individuals.

The opportunity cost of Michael in the changing of oil = 10/ 8 = 1.25

Opportunity cost of Michael in changing tyres = 8 / 10 = 0.8

The opportunity cost of Martha in the changing of oil = 14 / 7 = 2

The opportunity cost of Martha in the changing of tyres = 7 / 14 = 0.5

Michael has an opportunity cost in changing of oil and Martha has an opportunity cost in changing of tyres.

Absolute advantage is when an individual produces more quantity of a good or service when compared to others.

So, Michael changes more oil (8) than Martha (7). Martha changes more tyres (14) than Michael (7)

Therefore, Based on the information given the correct option is option E.) Michael has an **absolute** and **comparative** advantage in changing the oil.

The complete question is:

Michael and Martha run a mechanic shop. In one hour Michael can perform eight oil changes or change ten tires. In one hour Martha can perform seven oil changes or change fourteen tires. Given this information which of the following is true?

A) Martha has a comparative advantage in changing oil.

B) Martha has an absolute advantage in changing oil.

C) Michael has a comparative advantage in changing tires.

D)Michael has an absolute advantage in changing tires.

E.) Michael has an absolute and a comparative advantage in changing oil

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HELP ME PLEASE!!!!!! I NEED IT ASAP.

**Answer:**

14. x = 9.7 cos(17) = 9.28

15. x = cos^-1 (10/16) = 51.32

16. x = 41/tan(35) = 58.55

The first term in a sequence is 5 and the fifth term 17.what is the common difference ?

Using the concept of **arithmetic **progression , We have t(n) = a +(n-1)d **formula**, The answer is 3.

A number sequence is a **series **of numbers that are listed in a particular order. The numbers in a sequence may follow a specific **pattern **or rule. Examples of number sequences include the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, etc.), the Fibonacci sequence (1, 2, 4, 8, 16, 32, etc.), and the triangular number sequence (1, 3, 6, 10, 15, etc.). Number sequences are often studied in mathematics and have many applications in fields such as computer science, engineering, and physics.

An arithmetic progression (AP) is a type of number sequence in which the difference between any two consecutive terms is always the same. This common difference is known as the "common ratio" of the sequence. For example, the sequence 2, 5, 8, 11, 14 is an arithmetic progression because the common difference is 3.

t(n) = a + (n-1)d

n=5

t(5)=17

a=5

17 = 5 +(5-1)d

12=4d

d=12/4 = 3

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Solve the system of equations using substitution. 3x + 2y = 7 x = 3y + 6 (0, −2) (1, 2) (3, −1) (6, 0)

**Answer:**

(3, −1)

**Step-by-step explanation:**

I did the test

Brianna has a loyalty card good for a 10% discount at her local hardware store. If the

total cost, before tax and discount, of all the items she wants to buy is c, which

expression represents the cost after the discount?

(1-0.2)C expression represents the cost after the **discount**

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I need help on this question I have attached it on this assignment. THX

Answer:

I) 5575

ii) 312.50

b) 345

Step-by-step explanation:

I)11.15(500)=5575

ii) 1.25(250)=312.50

b) 407.10/1.18 = 345

Just a quick question!

Solve using substitution.

–3x − 4y = 17

x − y = –1

Help please!

**Answer:**

(-3, -2)

**Step-by-step explanation:**

-3x -4y = 17

x -y = -1 Can be rewritten x = y - 1

Substitute y -1 for x into the first equation

-3(y - 1) - 4y = 17 Distribute the -3

-3y + 3 -4y = 17 Combine like terms

-7y + 3 = 17 Subtract 3 from both sides

-7y = 14 Divide both sides by -7

**y = -2**

Substitute -2 for y in x = y -1 to solve for x

x = -2 -1

**x = -3**

**Check**

-3x -4y = 17

-3(-3) - 4(-2) = 17

9 + 8 = 17

17 = 17 checks

x -y = -1

-3 -(-2) = -1

-3 + 2 = -1

-1 = -1 checks

Manganese reacts with hydrochloric acid to produce manganese(II) chloride and hydrogen gas. Mn(s) + 2 HCl(aq) + MnCl, (aq) + H (9) When 0.620 g Mn is combined with enough hydrochloric acid to make 100.0 mL of solution in a coffee-cup calorimeter, all of the Mn reacts, raising the temperature of the solution from 23.5C to 28.6 C. Find AHxn for the reaction as written. (Assume that the specific heat capacity of the solution is 4.18 J/g C and the density is 1.00 g/mL.) -189 kJ 0 -3.44 kJ 0 -1.17 kJ O -2.13 kJ
4. Why was the case Brown v. Board of Education important in the struggle for civil rights?
INTRODUCTION: Portion-controlled cuts are ready-to-cook meats cut according to customer's specifications. Steaks and chops are ordered either by weight per steak or by thickness. Portion-controlled cuts require the least work for the cook of all meat cuts. They are also the most expensive per pound of all categories of cuts.Why are portion-controlled meats so widely used in food service, even though their per-pound cost is higher?Describe the difference between purchasing primal cuts and portion-controlled cuts.
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Prove that (5^(2n+1) + 2^(2n+1) is divisible by 7nN?
3:19 use of hardened intermediary systems within a security zone to allow the monitoring of activity is called:
Consider the following three class declarations.public class ClassOne{public void methodA(){ /* implementation not shown */ }public void methodB(){ /* implementation not shown */ }}public class ClassTwo{public void methodA(){ /* implementation not shown */ }}public class ClassThree extends ClassOne{public void methodB(){ /* implementation not shown */ }}The following declarations occur in a method in another class.ClassOne one = new ClassOne();ClassTwo two = new ClassTwo();ClassThree three = new ClassThree();/* missing method call */Which of the following replacements for /* missing method call */ will cause a compile-time error?Aone.methodA();Btwo.methodA();Ctwo.methodB();Dthree.methodA();Ethree.methodB();
The Haber process generates ammonia from nitrogen andhydrogen gas through the following chemical equation. N2 + 3H2 + 2NH3Which is the excess reagent in the Haber reaction if equalmoles of Hydrogen and Nitrogen are used?
Match each example to the correct behavioral therapy technique.vicarious reinforcementPhoebe watches as her therapist's assistant praises the therapist for positive social interactions while roleplaying making new friends.contingency managementClint is quickly isolated from other children every time he taunts or picks on one.modelingTanya's therapist demonstrates how to stand up for herself. Tanya then practices defending herself against her therapist, who pretends to be Tanya's boss.