Can you teach me how to do this task please!

Answer:

SOH CAH TOA

Little triangle first - hypotenuse is 4, now we used this info help us find the opposite.

Opposite & Hypotenuse - Sin

Sin(45) = O/H

Sin(45) = O/4

x 4 both sides, to get Opposite

Opposite = 4 x Sin(45)

= 2 root 2

= 2.8284.......

Big Triangle next,

Opposite is 2.8284......

Y is the adjacent

Opposite & Adjacent - Tan

Tan (30) = O/A

Tan(30) = 2.8/A

x A

A x Tan(30) = 2.8

÷Tan(30)

A = 2.8 ÷ Tan(30)

A= 2 root 6

A= 4.8989...

So, y is 5 to 1 significant figure

Or

Y = 4.9 to 1d.p

(Haven't rounded anything in my calculation, even though it's shown that way, in my workings. So, you can follow along)

Hope this helps!

System Linear equation has no solution , because it is paralell lines but no intersection.

What is system linear equation?

An equation for a line is known as a linear equation. alternatively, y + 0.5x 3.5 = 0 and others. (Note that each linear equation is the same.) When multiple linear equations interact, we get a system of linear equations.

Here the given system linear equations,

\(3y=\frac{3}{2}x+6\) -------> 1    and \(\frac{1}{2}y-\frac{1}{4}x=3\) --------> 2

Divide by 3  of equation 1 on both sides then,

\(y=\frac{1}{2}x+2\)  -----------> 3

Now put 3 into 2 then,

=> \(\frac{1}{4}x+1-\frac{1}{4}x=3\)

=> 1=3

Hence the given system equation has no solution , because it is paralell lines but no intersection.

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Answer:

$ 3 DOLLAR DIFFERENCE WHICH IS A 16.67 % DECREASE.

Step-by-step explanation:

Answer:

Therefore, when the stadium is full, a total of 740 people can sit in the three sections.

Step-by-step explanation:

The red section seats 200 people.

The blue section seats 200 - 20 = <<200-20=180>>180 people.

The green section seats 180 * 2 = <<180*2=360>>360 people.

The total number of people who can sit in the stadium is 200 + 180 + 360 = <<200+180+360=740>>740 people.

Step-by-step explanation:

this is a college level question ?

and you don't know how to do this (because doing this yourself would have been much faster than posting the question and looking for the answer here) ?

oh my ...

red = 200

blue = red - 20 = 200 - 20 = 180

green = 2×blue = 2×180 = 360

total number = 200 + 180 + 360 = 740

Answer:

The answer is 1.62 ounce

Step-by-step explanation:

Now,

3.6% of his 45 ounce

45 × 3.6 ÷ 100

162 ÷ 100 = 1.62

Thus, Jaydon has eaten 1.62 ounce block of chocolate fudge.

A fraction is the numerator divided by the denominator best describes a fraction.

Given,

- A fraction is the denominator divided by the numerator.

- A fraction is the numerator divided by the denominator.

- A fraction is the numerator multiplied by the denominator.

- A fraction is the denominator multiplied by the numerator.

We need to find which option best describes a fraction.

A fraction has two parts: Numerator and Denominator.

It is in the form of Numerator / Denominator.

We have,

- A fraction is the denominator divided by the numerator.

It is written as denominator / Numerator.

- A fraction is the numerator divided by the denominator.

It is written as Numerator / Denominator

- A fraction is the numerator multiplied by the denominator.

It is written as Numerator x Denominator.

- A fraction is the denominator multiplied by the numerator.

It can be written as Denominator x Numerator.

We see that the option "a fraction is a numerator divided by the denominator" is the correct answer.

Thus A fraction is the numerator divided by the denominator best describes a fraction.

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The algebraic expression for Desmond's height is x + 5.

If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.

So the algebraic expression for Desmond's height is x + 5.

Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).

They can contain one or more variables and can be evaluated for different values of the variables.

For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.

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Answer:

Step-by-step explanation:

Height

The height of it is the distance between the bottom and the top. You can count grid squares (6), or you can subtract y-coordinates:

  4 -(-2) = 4 +2 = 6

The height of the figure is 6 units.

__

Length

The length is the difference between the left side and the right side. Once again, you can count grid squares (7), or you can subtract x-coordinates:

  4 -(-3) = 4 +3 = 7

The length of the figure is 7 units.

__

Shape

The two upper points are on the same horizontal line, as are the two lower points. The two left-side points are on the same vertical line, as are the two right-side points. Vertical and horizontal lines are at right angles, so all of the corner angles are 90°. The quadrilateral is a rectangle.

__

Area

The area of the quadrilateral is the product of its length and height:

  A = LH

  A = (7 units)(6 units) = 42 units²

The area is 42 square units.

__

Perimeter

The perimeter is the sum of the lengths of the four sides. There are to sides that are 6 units long, and 2 sides that are 7 units long.

  P = 2(6 +7) = 26

The perimeter is 26 units.

Answer:

d=-6.5

Step-by-step explanation:

2d+13=0

2d=-13

d= -13/2

d=-6.5

Answer:

6:24 or 1:3 (this is reduced)

Step-by-step explanation:

I added 18 plus 6 together getting 24, which tells me that there are 24 flowers in Mr. Lopez's garden. I then set up the ratio as 6:24, but i knew that i could reduce it. (I'm noy sure if you want it reduced or not) So I divided both sides by 6 getting the ratio 1:3.

Hope this helps!

The parameters of the exponential function in this problem are given as follows:

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

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Answer:

0

Step-by-step explanation:

Answer:

none!

Step-by-step explanation:

Answer:

D=221 m

Step-by-step explanation:

In order to solve this problem, we can start by drawing a diagram of the given situation. (see attached picture)

As you may see, we have a right triangle there, so we can use trigonometric functions to solve this. Specifically, the sine function.

\(sin \theta = \frac{OS}{Hyp}\)

in this case we need to find the hypotenuse, so we solve the equation above for the Hyp, so we get:

\(Hyp= \frac{OS}{sin \theta}\)

in this case, the opposite side (OS) is the heght of the helicopter, the angle is the 42° and the Hyp is the direct distance between the helicopter and Jackson, so we substitute the given data to get:

\(Distance=\frac{148m}{sin 42^{o}}\)

Which yields:

D=221m

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer: Yes

Step-by-step explanation:

Most fractions can be simplified into smaller fractions, while some are in it's simplest form. When putting a bit in its simplest form it is much easier to compare to other fractions  

What I did first tried to simplify all the factions, starting with 1 1/2.

After looking at 1 1/2, I can see that it is in its simplest form.

Then looking at 1 2/4 I can see that it can be simplified into 1 1/2.

Lastly looking at 1 3/6 I can see that it can be simplified into 1 1/2.

a) We have to calculate the magnitude M of the earthquake.

We will use the first intensity measure, that is I = 10^5.4*I₀.

We then can calculate the magnitude M as:

b) Now we will use the revised measure of I = 10^6.2*I₀ to calculate the magnitude:

c) We have to calculate how many more intense was the earthquake than originally thought. We can calculate this as the ratio between the actual magnitude (revised) and the original:

It was 1.1 times more intense (about 10% more intense).

Answer:

a) M = 5.4

b) M = 6.2

c) 1.1 times

The true statement is his friend's tank can hold almost twice as much water as Julian's tank.

The volume of the friend's tank 1 1/4 x 1 1/4 x 300

5/4 x 5/4 x 300 = 468.75

Ratio of the friend's tank to Julian's tank = 468.75 / 300 = 1.56

Here is the complete question:

One of Julian's friends also has a rectangular aquarium. The dimensions of his friend's tank are each exactly 1 1/4 times the dimensions of Julian's tank.

If the area of the rectangular base of Julian's tank is approximately 300 square inches, which of the following statements is true?

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Answer:

20

12

16

Step-by-step explanation:

Answer:

Option A is correct

Step-by-step explanation:

Given: FH is the altitude to the hypotenuse EG

To find: length of FH

Solution:

According to Pythagoras theorem, square of hypotenuse is equal to sum of squares of other two sides.

In \(\Delta EHF\),

\(\angle EHF=90^{\circ}\)

So,

\(EF^2=EH^2+FH^2\)

Put EH = 6 units and EF = 7 units

\(7^2=6^2+FH^2\\49=36+FH^2\\49-36=FH^2\\13=FH^2\)

Option A is correct

Take square root on both sides

\(FH=\sqrt{13}=3.606\,\,units\)

Answer:

b. y=0.6x+6

Step-by-step explanation:

First, find the slope using the slope formula, \(\frac{0-6}{-10-0}\). This is 6/10, which simplifies to 3/5 or 0.6. Then you need to find the y-intercept, however, this is already given to you. Remember that the y-intercept is when x=0, so (0,6) must be the y-intercept. Therefore the equation is y=0.6+6.

Answer:

x=7.5 and x=-12.5

Step-by-step explanation:

|2x+5|-4=16

|2x+5|=20

2x+5=20

2x=15

x=7.5

2x+5=-20

2x=-25

x=-12.5

Answer:

-5

Step-by-step explanation:

f(-1) = -1^2 - 4

f(-1) = -1 - 4

f(-1) = -5

The monthly payment for the auto loan is approximately $762.43.

(a) To find the required down payment, we need to calculate 20% of the cost of the van.

Down payment = 20% of $22,000

Down payment = 0.2 \(\times\) $22,000

Down payment = $4,400

Therefore, the required down payment is $4,400.

(b) The amount of the auto loan is the remaining cost of the van after the down payment.

Loan amount = Total cost of van - Down payment

Loan amount = $22,000 - $4,400

Loan amount = $17,600

Therefore, the amount of the auto loan is $17,600.

(c) To calculate the monthly payment for the auto loan, we can use the formula for the monthly payment on an amortized loan:

Monthly payment = (Loan amount \(\times\) Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Number of months))

In this case, the loan amount is $17,600, the annual interest rate is 4%, and the loan duration is 2 years, which is 24 months.

Monthly interest rate = Annual interest rate / 12

Monthly interest rate = 4% / 12

Monthly interest rate = 0.04 / 12

Monthly interest rate = 0.00333

Plugging in the values into the formula:

Monthly payment \(= ($17,600\times0.00333) / (1 - (1 + 0.00333)^{(-24)})\)

After calculating, the monthly payment comes out to be approximately $762.43.

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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The volume of the composite figures, which can be obtained by adding the volume of the individual figures are;

13. 497,469.005 cm³

14. 480,000 cm³

The volume of a figure is the three dimensional space occupied by the figure.

13. The volume of the shape is the sum of the volumes of the rectangular prism and the volume of the half cylinder.

Volume of the rectangular prism = 45 cm × 60 cm × 90 cm = 243,000 cm³

Volume of the half cylinder = π × (30 cm)² ×90 cm ≈ 254,469.005 cm³

Volume of the figure, V ≈ 254,469.005 + 243,000 = 497,469.005 cm³

14. The volume of the chest is the area of the trapezoidal face × The length of the of the figure

Area of the trapezium = 80 × (40 + 60)/2 = 4000

The area of the trapezium = 4000 cm²

The length of the figure = 120 cm

Therefore; Volume of the figure = 4000 cm² × 120 cm = 480,000 cm³

The volume of the chest is 480,000 cm³

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Given the hypotenuse of the right triangle, using the  Pythagorean theorem, the numerical value of x is 16.

The Pythagorean theorem states that the "square on the hypotenuse c of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c² = a² + b²

Given the data in the question;

Now, plug the given values into the Pythagorean theorem formula and solve for x.

c² = a² + b²

( 16√2 )² = x² + x²

512 = x² + x²

512 = 2x²

Divide both sides by 2

512/2 = 2x²/2

x² = 256

Take the square root of both sides

x = ±√256

x = ±16

Since the length of the polygon cannot be negative.

x = 16

Given the hypotenuse of the right triangle, using the  Pythagorean theorem, the numerical value of x is 16.

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