he equation sin (40 degree) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC.

Triangle A B C is shown. Angle A C B is a right angle. The length of side A C is b and the length of hypotenuse A B is 20 centimeters.

What is the length of ? Round to the nearest tenth.

Answer:

$5.20 x 20 = $104.00

$104.00 ×8= $832.00

Answer:The volcano has a height of nearly 22 km (13.6 mi or 72,000 ft) as measured by the Mars Orbiter Laser Altimeter (MOLA). Olympus Mons is about two and a half times Mount Everest's height above sea level.

Olympus Mons - Wikipedia

Step-by-step explanation:

Olympus Mons on Mars is the tallest mountain in the solar system, standing over 20 kilometers above its surroundings and nearly 30 kilometers above the lowest points on Mars.

The height of Olympus Mons, which is the tallest mountain in the solar system, located on Mars, is incredibly impressive in comparison to mountains on Earth. Olympus Mons towers more than 20 kilometers above its surroundings, reaching nearly 30 kilometers above the lowest elevation areas on Mars. When converted to more familiar units, this equals approximately 22 miles in height, a figure that dwarfs the height of Mount Everest, which stands at 29,029 feet or about 8.848 kilometers.

2/3x=36

multiply by 3 both sides

2x=108

divide by 2

x=54

The value of the number whose two thirds part is equal to the number 36 is number 54.

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

Two thirds of a number is 36. Let suppose the number is x. As it is given that the two third of this number x is equal to the 36.

Thus, we have to multiply the fraction 2/3 to x and equate it to 36.

[tex]x\times\dfrac{2}{3}=36\\x=\dfrac{36\times3}{2}\\x=54[/tex]

Hence, the value of the number whose two thirds part is equal to the number 36 is number 54.

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Answer:

60

Step-by-step explanation:

y+y+60=180

2y =120

therefore,y=60

Answer:

C. 60°

Step-by-step explanation:

To answer this problem we must make use of the sum of the internal angles of a triangle.

For any triangle the sum of its internal angles is equal to 180 °.

So we must add all the angles to find the answer:

[tex]y+y+60=180[/tex]

now we can add the two terms 'y'

[tex]2y+60=180[/tex]

and now we clear for 'y':

[tex]2y=180-60\\2y=120\\y=120/2\\y=60[/tex]

The value of y is 60°

Answer:  Range: y = {-7.5, -5, 10, 15}

Step-by-step explanation:

Domain is "x" and range is "y" f(x)

Replace the x's in the equation with each given value:

[tex]f(x)=3x-\dfrac{x}{2}\qquad \qquad \text{when}\ x={-3, -2, 4, 6}\\\\\\\\f(-3)=3(-3)-\bigg(\dfrac{-3}{2}\bigg)\\\\\\.\qquad =-9+\dfrac{3}{2}\\\\\\.\quad =\dfrac{-18}{2}+\dfrac{3}{2}\\\\\\.\quad =\large\boxed{-\dfrac{15}{2}}[/tex]

[tex]f(-2)=3(-2)-\bigg(\dfrac{-2}{2}\bigg)\\\\\\.\qquad =-6+1\\\\\\.\qquad =\large\boxed{-5}[/tex]

[tex]f(4)=3(4)-\bigg(\dfrac{4}{2}\bigg)\\\\\\.\qquad =12-2\\\\\\.\qquad =\large\boxed{10}[/tex]

[tex]f(6)=3(6)-\bigg(\dfrac{6}{2}\bigg)\\\\\\.\qquad =18-3\\\\\\.\qquad =\large\boxed{15}[/tex]

The range of the function with the specified domain of {-3, -2, 4, 6} is {-15/2, -5, 10, 15}.

The student asks: if fx=3x-x/2 find the range if the domain is {-3,-2,4,6}. To find the range of the function f(x) = 3x - x/2, we will evaluate the function for each value in the given domain and record the corresponding outputs. This function simplifies to f(x) = (5/2)x when you combine like terms.

For x = -3, f(-3) = (5/2)(-3) = -15/2.

For x = -2, f(-2) = (5/2)(-2) = -10/2 = -5.

For x = 4, f(4) = (5/2)(4) = 20/2 = 10.

For x = 6, f(6) = (5/2)(6) = 30/2 = 15.

Answer:

[tex]72[/tex]  [tex]times[/tex]

Step-by-step explanation:

This answer can be found by a very easy method.

72 divided by 1

==> 72

Meaning that if we do 1 * 72, and we get 72, this means that 1 can go into 72, 72 times

Answer:

[tex]8x[/tex]

Step-by-step explanation:

Let us suppose that items carried by one hiker is [tex]x[/tex]

We know that everyone will carry same number of items

hence for a group of [tex]8[/tex] hikers, total number of items will be [tex]8x[/tex]

Hey!

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

[tex]\large\boxed{0.65~rotations~per~foot}[/tex]

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

Solution:

speed = rotations / distance

speed = 65 / 100

speed = 0.65

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

Hope This Helped! Good Luck!

Answer:

B. x^4+2x^2+2

Step-by-step explanation:

(x^2+1)^2+1

=(x^2+1)(x^2+1)+1

=(x^4+x^2+x^2+1)+1

=x^4+2x^2+2

Just divide one by another and you'll get the ratio

4000/15 = 800/3 ≈ 266,67

So 4000 is 266,67 times greater than 15

Answer:

266.666 or 266.67

Step-by-step explanation:

You´d divide 4000 by 15 and you get 266.666, which can be simplified to 266.67.

Answer:

1

Step-by-step explanation:

It would be 1 because it is the least number there

Answer:

-1

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{0 + 8}{ - 2 - 6} = - \frac{8}{8} = - 1[/tex]

I am joyous to assist you anytime.

Answer: 600.62

Step-by-step explanation:

1018 x 0.59 = 600.62

Answer:

600.6. to the nearest tenth.

Step-by-step explanation:

59 % = 59/100 = 0.59.

0.59 * 1018

= 600.6.

Answer:

The dolphin speed in miles per hour is 6

Step-by-step explanation:

we know that

1 mi=1,609.34 m ------> 1 m=1/ 1,609.34 mi

1 h= 3,600 sec ----> 1 sec=1/3,600 h

we have

[tex]2.68\frac{m}{sec}[/tex]

Convert to mi/h

[tex]2.68\frac{m}{sec}=2.68\frac{(1/1,609.34)}{(1/3,600)}=6\frac{mi}{h}[/tex]

Answer:

6

Step-by-step explanation:

Answer:r

Step-by-step explanation:

let x and y this numbers : x +y = -103 and x = y +59

so : y+59 +y = -103

2y +59 = -103

2y +59-59 = -103-59

2y = -162

y = -162/2

y = -81  but  x = y +59

so : x = -81+59

x = -22

The two numbers satisfying the given condition is -22 and -81.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have sum of two numbers is -103. One number is 59 less than the other.

Assume that the first number is [x]. Then, another number would be (x - 59).

We can write -

x + (x - 59) = - 103

2x - 59 = - 103

2x = - 103 + 59

2x = - 444

x = - 22

Another number would be -

x - 59 = - 22 - 59 = - 81

Therefore, the two numbers satisfying the given condition is -22 and -81.

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Answer:

x = y + 8

Step-by-step explanation:

Given

y = x - 8 ( add 8 to both sides )

y + 8 = x

Final answer:

To make x the subject of the equation y = x - 8, simply add 8 to both sides of the equation to get x = y + 8, which is the rearranged equation.

Explanation:

To rearrange the equation y = x - 8 to make x the subject, you need to isolate x on one side of the equation. Here are the steps to do so:

Add 8 to both sides of the equation to get y + 8 = x.

Once you have done that, the equation is already solved for x, and the new equation with x as the subject is x = y + 8.

This process is common in algebra when solving linear equations or finding the equation of a line, similar to when you want to determine the line of best fit in a set of data points. For example, in the equation y = 9 + 3x, rearranging to solve for x would involve subtracting 9 from both sides and then dividing by 3.

Answer:

The last digit of this number is 5

Therefore, it is divisible by 5

It is composite

Step-by-step explanation:

For this case we have that the total minutes spent in yoga classes last week was 165.

Subtracting the 45 minutes of the Saturday day we have:

[tex]165-45 = 120[/tex]

Those 120 minutes were distributed in the weekly yoga classes

where each lasted 30 minutes.

[tex]\frac {120} {30} = 4[/tex]

So, 4 week yoga classes were held

ANswer:

4 week yoga classes were held

we can alsoways find the slope by simply using two points off the table, bearing in mind  that slope goes by different names

rate of change

average rate of change

delta difference

rise over run

however is the same cat disguised in different costumes.

[tex]\bf \begin{array}{|cc|ll} \cline{1-2} time&distance\\ \cline{1-2} 15&2\\ 30&4\\ 45&5\\ 60&6\\ \cline{1-2} \end{array} \begin{array}{llll} \\[1em] \leftarrow \\\\ \leftarrow \end{array}\qquad \qquad (\stackrel{x_1}{30}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{60}~,~\stackrel{y_2}{6})[/tex]

[tex]\bf \stackrel{\textit{\large average rate of change}}{\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{60}-\underset{x_1}{30}}}\implies \cfrac{2}{30}\implies \cfrac{1}{15}}[/tex]

A trapezoid has exactly one pair of parallel sides.

I hope I was helpful! :)

Answer:

x=9

Step-by-step explanation:

-2(-5x - 4) + 2x - 2 = 114

-2(-5x - 4) + 2x = 116

10x + 8 + 2x = 116

12x + 8 = 116

12x = 108

x = 9

Answer:

(x + 4) × (2x - 5)

Step-by-step explanation:

Hope this helps!!

Answer:

Answer:

(2x−5)(x+4)

Step-by-step explanation:

Factor 2x2+3x−20

2x2+3x−20

=(2x−5)(x+4)

Answer:

(2x−5)(x+4)

Step-by-step explanation:

given

[tex](1.5 \times {10}^{4} )(8 \times {10}^{8} )[/tex]

in order to make multiplication easier we need to change the 1.5 into a whole number form.

thus

[tex](15 \times {10}^{ - 1} \times {10}^{4} )(8 \times {10}^{8} )[/tex]

[tex] = (15 \times {10}^{4 - 1} )(8 \times {10}^{8} )[/tex]

First law of indices applied there

=(15×10^3)(8×10^8)

=(15×8)(10^3×10^8)

=120×10^3+8 ( first law of indices, which states that , numbers of the same base multiplying each other, take one of the base and add the exponent. and clearly both 15 and 8 are in base 10

=120×10^11

=1.20×10^2 ×10^11

=1.20×10^11+2

=1.20×10^13

so the answer is alt B

(1.5 x 10^4)(8 x 10^8) written in scientific notation will be  1.2×10¹³.

We write standard numbers in scientific form as it can be written in more compact way.Think of writing a billion in copy and writing it in scientific notation.

Given (1.5×10⁴)(8×10⁸) and we have to write it in scientific form.

Let us first multiply the bases which are (8×1.5) = 12 and 10⁴×10⁸ is 10⁴⁺⁸ = 10¹².

∴ (1.5×10⁴)(8×10⁸) = 12×10¹² but is scientific natation base should be less than 10 so we'll a decimal one digit before 12 like dividing it by 10 so to balance it out we also have to multiply by 10 we'll multiply that 10 to the 10¹² which will make it 10¹³.

∴ 12×10¹² = 1.2×10¹³.

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Answer:  (a) 3     (b) -4      (c) 8      (d) 8i        (e) 11

Step-by-step explanation:

For a cubed root, you need three like terms on the inside to make one on the outside.

[tex]a)\quad \sqrt[3]{27}\quad = \sqrt[3]{3\cdot3\cdot3}\quad =\large\boxed{3}\\\\b)\quad \sqrt[3]{-64}\quad = \sqrt[3]{-4\cdot-4\cdot-4}\quad =\large\boxed{-4}[/tex]

For a square root, you need two like terms on the inside to make one on the outside. Reminder that √-1 = i

[tex]c)\quad \sqrt{64}\quad = \sqrt{8\cdot8}\quad =\large\boxed{8}\\\\d)\quad \sqrt{-64}\quad = \sqrt{-1\cdot8\cdot8}\quad =\large\boxed{8i}\\\\e)\quad \sqrt{121}\quad = \sqrt{11\cdot11}\quad =\large\boxed{11}[/tex]

Answer:

I am not sure but the answer might be: $1688.1816

Step-by-step explanation:

Hey!

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

Steps To Solve:

~Follow PEMDAS

6.4 − 2.4 ÷ 0.1

~Divide

6.4 − (2.4 ÷ 0.1)

~Simplify

6.4 - 24

~Subtract

(6.4 - 24)

~Simplify

-17.6

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

Answer:

[tex]\large\boxed{-17.6}[/tex]

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

Hope This Helped! Good Luck!

Answer:

-17.6

Step-by-step explanation:

6.4 - 2.4 ÷ 0.1

6.4 - 24 *Order of operations tells you

to divide first

-17.6 *Subtract

Using the given number line, the plotted number is 1000 when rounded to the nearest thousand.

How to round a number to the nearest thousand?

To round a number to the nearest thousand, you need to identify the digit in the thousands place and then decide whether to round up or down based on the digit in the hundreds place.

Now, the nearest number too the plotted dot is 1000.

Thus, we can clearly conclude that the using the given number line, the plotted number is 1000 when rounded to the nearest thousand.

For this case we must solve the following equation:

[tex]\frac {2} {5} + p = \frac {4} {5} + \frac {3} {5}[/tex]

Since the denominators on the right side of the equation are equal, then we add the fractions:

[tex]\frac {2} {5} + p = \frac {4 + 3} {5}\\\frac {2} {5} + p = \frac {7} {5}[/tex]

We subtract [tex]\frac {2} {5}[/tex]on both sides of the equation:

[tex]p = \frac {7} {5} - \frac {2} {5}\\p = \frac {7-2} {5}\\p = \frac {5} {5}\\p = 1[/tex]

Thus, the value of p is 1.

Answer:

[tex]p = 1[/tex]

The solution to the linear equation is; p= 1.

The equation given in the task content is;

On this note, By isolating the unknown variable, p, we have;

By taking the LCM, we have; p = (4+3-2)/5

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Answer:

-$195

Step-by-step explanation:

If she made 3 withdrawals and they are all the same amount then the equation is

65 x 3 or 65+65+65

Which equals 195

Since she is taking money out of her bank account, the total change is negative because she is subtracting it from her current amount

The total change is -$195