How many millimeters are in 90 ounces?

Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

Answer:

-3x-12

Step-by-step explanation:

-10x-4-8+7x

-3x-4-8

-3x-12

Answer:

-3x-12

Step-by-step explanation:

– 10x + – 4 – 8 + 7x

Combine like terms

-10x +7x   -4-8

-3x              -12

The transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

A Transformation in Math is a process of moving an object (two-dimensional shape) from its original position to a new position.

Given that, a function f(x) undergo some transformations to become f(x+9)-1,

We know that,

Vertical Shifting:

Adding a constant to a function will shift its graph vertically (i.e. y = f (x) + c). Adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.

Horizontal Shifting:

Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.

Therefore, there is transformation of a horizontal and vertical shift.

Hence, the transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

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Answer:

Look in Step by Step Explanation

Step-by-step explanation:

3)SOHCAHTOA

tan=opposite/adjacent

tan(20)=x/83

83tan(20)=x

x=30.209

2) SOHCAHTOA

Tangent=opposite/adjacent

Tan(62)=x/8

8tan(62)=x

x=15.04

3)SOHCAHTOA

Sin=opposite/hypotonouse

sin(25)=30/x

x=30/sin(25)

x=70.986

The solutions of given functions are : 1. (f + g)(x) = 2x² + 3x - 2, 2. (fog)(x) = 6x² + 4, 3. (gof)(x) = 18x² - 60x + 53, 4. (f.g)(x) = 6x³ - 10x² + 9x - 15, 5. (f - g)(x) = -2x² + 3x - 8, 6. (fog)(3) = 58.

What are the functions?

We have the given functions:

f(x) = 3x - 5

g(x) = 2x² + 3

Here are the solution steps of the given functions f(x) and g(x).

1. (f + g)(x) = f(x) + g(x) = (3x - 5) + (2x² + 3) = 2x² + 3x - 2

So, (f + g)(x) = 2x² + 3x - 2.

2. (fog)(x) = f(g(x)) = f(2x² + 3) = 3(2x² + 3) - 5 = 6x² + 4

So, (fog)(x) = 6x² + 4.

3. (gof)(x) = g(f(x)) = g(3x - 5) = 2(3x - 5)² + 3 = 18x² - 60x + 53

So, (gof)(x) = 18x² - 60x + 53.

4. (f.g)(x) = f(x)g(x) = (3x - 5)(2x² + 3) = 6x³ + 9x - 10x² - 15

So, (f.g)(x) = 6x³ - 10x² + 9x - 15.

5. (f - g)(x) = f(x) - g(x) = (3x - 5) - (2x² + 3) = -2x² + 3x - 8

So, (f - g)(x) = -2x² + 3x - 8.

6. (fog)(3) = f(g(3)) = f(2(3)² + 3) = f(21) = 3(21) - 5 = 58

So, (fog)(3) = 58.

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Answer:

32

Step-by-step explanation:

p=x+y , P=22+10 , P=32

I think the answers 3048_&8_9_)_)_

Answer:

Only the second and third statements are correct:

Doubling r quadruples the volume.

Doubling h doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

\(\displaystyle V=\pi r^2h\)

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2r. Hence, our volume is:

\(\displaystyle V=\pi (2r)^2h=4\pi r^2h\)

So, compared to the old volume, the new volume is quadrupled the original volume.

Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

If the height is doubled, our new height is now 2h. Hence, our volume is:

\(V=\pi r^2(2h)=2\pi r^2h\)

So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2r and doubling the height results in 2h. Hence, the new volume is:

\(V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h\)

So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

Answer:

A. 7%

Step-by-step explanation:

Given the following data;

Principal, P = $2,000

Time, T = 2 years

Simple Interest, I = $280

To find the simple interest rate, R?

Mathematically, simple interest is calculated using this formula;

\( S.I = \frac {PRT}{100} \)

Where;

Substituting into the equation, we have;

\( 280 = \frac {2000*R*2}{100} \)

Cross-multiplying, we have;

\( 280 * 100 = 4000*R\)

\( 28000 = 4000R \)

\( R = \frac {28000}{4000} \)

Simple interest rate, R = 7%

The y-coordinate of the solution of the equation will be 2.

Given that:

x - 2y = 4

x + 3y = 14

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slopes are different then the lines are intersecting.

And if the slopes are different then the system has one solution.

The lines are drawn on the graph and their intersection point will be (8, 2).

The y-coordinate of the solution of the equation will be 2.

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im not being rude i was just trying yo say sais the Anser but.it wouldnt let mr so now im sad

Step-by-step explanation:

we can find the length of other side by hypotenuse formula,

which is h² = a² + b²

so,

a = 157

b = 168

now after inserting the values we got,

→ h² = (157)² + (168)²

→ h = 24649 + 28224

→ h = 52,873

→ h² = √52873 = 229.94

so, length of other side is 229.94

hope this answer helps you dear! take care and may u have a great day ahead!

Answer:

B

Step-by-step explanation:

Answer:

23 1/4

Step-by-step explanation:

3/6 ^ 2 = 1/4

7 * 4 = 28

28 + 1/4 = 113/4

113/4 - 5 = 93/4

93/4 = 23 1/4

Answer:

5 ,10 , 15 , 20

Step-by-step explanation:

y=5(0)+5    

=5

y=5(1)+5

=10

y=5(2)+5

=15

y=5(3)+5

=20

Answer:

Step-by-step explanation:

The sum of exterior angles in a quadrilateral is always 360 degrees.

So, 2x+x+4x+3x=10x=360

Soling for x, we get x=36 degrees.

Answer:

24964

Step-by-step explanation:

hope this works - btw this is not including 2 and 33

Answer:

When using exponential notation an, the base a is used as a factor n times. When the exponent is 2, the result is called a square. When the exponent is 3, the result is called a cube. ... The square root of a number is a number that when squared results in the original number.

Step-by-step explanation:

Answer:15 miles

Step-by-step explanation: well he biked for all of the 15 miles!?

Answer:

If he wants to bike 15 miles and completes it, then he’s gone 15 miles.

The coefficient of x⁴y⁴ is 70 when the expression is (x+y)⁸ by binomial coefficient expansion.

Given that,

We have a equation that is (x+y)⁸.

We have to find what is coefficient of x⁴y⁴ when we expand the coefficients with number.

We know that,

Take the expression

(x+y)⁸

By using binomial coefficient expansion visit:  

(x+y)⁸= ⁸C₀x⁰y⁸⁻⁰+ ⁸C₁x¹y⁸⁻¹+ ⁸C₂x²y⁸⁻²+ ⁸C₃x³y⁸⁻³+ ⁸C₄x⁴y⁸⁻⁴+ ⁸C₅x⁵y⁸⁻⁵+ ⁸C₆x⁶y⁸⁻⁶+ ⁸C₇x⁷y⁸⁻⁷ +⁸C₈x⁸y⁸⁻⁸

(x+y)⁸= ⁸C₀x⁰y⁸+ ⁸C₁x¹y⁷+ ⁸C₂x²y⁶+ ⁸C₃x³y⁵+ ⁸C₄x⁴y⁴+ ⁸C₅x⁵y³+ ⁸C₆x⁶y²+ ⁸C₇x⁷y¹ +⁸C₈x⁸y⁰

So the coefficient of x⁴y⁴ is ⁸C₄.

⁸C₄= 8!/(4!(8-4)!)

⁸C₄= 8!/4!4!

⁸C₄=70.

Therefore, The coefficient of x⁴y⁴ is 70 when the expression is (x+y)⁸ by binomial coefficient expansion.

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Answer:

greatest common factor

Step-by-step explanation:

To find the GCF of a set of numbers, list all the factors of each number. The greatest factor appearing on every list is the GCF. For example, to find the GCF of 6 and 15, first list all the factors of each number. Because 3 is the greatest factor that appears on both lists, 3 is the GCF of 6 and 15.

Solving an Equation

We are given the equation:

The first step is to multiply the constants by the binomials in parentheses:

This step was correctly done by Jose.

The second step is to 'pass' the 4x from the right side of the equation to the left by adding 4x on both sides:

This step was also correct.

Now we must 'pass' 15 to the right by subtracting 15:

And here we find the first error. Jose subtracted 15-20 instead of 20-15 and erroneously got -5.

Answer: First error in step 3

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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Answer:

The answer to the equation 5y - 3z + 6 is answer choice B or 44.

Step-by-step explanation:

The first step is writing what we know.

Equation:  5y - 3z + 6

y = 10

z = 4

Since we know what y and z are, we know we have to use substitution.

\(5y-3z+6\)

\(5(10)-3(4)+6\)  Substitute the values in for y and z.

\(50-3(4)+6\)  Multiply 5 and 10 together.

\(50-12+6\)  Multiply -3 and 4 together.

\(38+6\)  Subtract 50 and 12

\(44\)

The formula for f : M = 38 + 5f will be f = (M - 38) / 5.

no

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The equation given is:

M = 38 + 5f

We want to make f the subject of the formula

M = 38 + 5f

Subtract 48 from both sides

M - 38 = 5f

Divide through by 5

f = (M - 38) / 5

Therefore, f = (M - 38) / 5

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Answer:

2x^3  +7x^2+3x-2

Step-by-step explanation:

3x^3 +7x^2 -x

- ( x^3 -4x +2)

------------------------

The first step is to line up the variables by degree

 3x^3 +7x^2 -x

- ( x^3           -4x +2)

----------------------------

Then distribute the minus sign

 3x^3 +7x^2 -x

-  x^3           +4x -2

----------------------------

2x^3  +7x^2+3x-2

A like radical to the one shown is Option C.

We know that we can be able to perform mathematical operations on the radicals such as adding and subtracting but this must be performed when we have like radicals.

When we talk about like radicals we mean that the radicals must be such that it easy for the radical to be worked upon as we have it in the question that is before us here to locate a like radical among the options.

The radical in option C has the same 2x and power as the given radical hence they are like radicals.

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Answer:

42

Step-by-step explanation:

because its 42

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)

where s = half the perimeter,

s = (a + b + c)/2.

given data:

In ΔHIJ,

semi -perimeter s = (i + j + h) / 2

s = (33 + 61 + 39) / 2

s = 66.5

Now,

s - h = 66.5 - 33 = 33.5

s - i = 66.5 - 61 = 5.5

s - j = 66.5 - 39 = 27.5

area of ΔHIJ = √s(s - h)(s - i)(s - j)

area of ΔHIJ = √66.5*33.5*5.5*27.5

area of ΔHIJ = √336947.1875

area of ΔHIJ = 580.47

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

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