Evaluate the expression?????

Answer:

Step-by-step explanation:

Sin 50° = [tex]\frac{opposite}{hypotenuese} = \frac{8}{n}[/tex]

[tex]n=\frac{8}{sin 50}[/tex] = 10.44

Cos 50° = [tex]\frac{adjacent}{hypotenuese} = \frac{m}{n}[/tex]

m = n cos 50 =  6.71

The value of each variable using sine and cosine are,

⇒ n = 10.44

⇒ m = 6.71

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in image.

Now, By using trigonometry identity we get;

⇒ sin 50° = Opposite / Hypotenuse

⇒ sin 50° = 8 / n

⇒ n = 8 / sin 50°

⇒ n = 10.44

And,

⇒ cos 50° = Adjacent / Hypotenuse

⇒ cos 50° = m / n

⇒ m = 10.44 cos 50°

⇒ m = 6.71

Thus, The value of each variable using sine and cosine are,

⇒ n = 10.44

⇒ m = 6.71

Therefore, The value of each variable using sine and cosine are,

⇒ n = 10.44

⇒ m = 6.71

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Answer:

200

Step-by-step explanation:

separate the two squares

the squares are 10 x 10 so the area is 100

since there are two of the same size squares that means 100 x 2

there ya go

Answer:

x=2

Step-by-step explanation:

3x - 9x + 7 - 3 = -8

Combine like terms

-6x +4 = -8

Subtract 4 from each side

-6x +4-4 = -8-4

-6x = -12

Divide each side by -6

-6x/-6 = -12/-6

x = 2

Answer:

x=2

Step-by-step explanation:

add like terms (3x-9x= -6x, 7-3= 4)

then move the constant to the right (-8+4=-12)

finally divide it by 6 which gives you "x"

Answer:

3,456,000

Step-by-step explanation:

brainliest please ;)

The solutions to the equations are: a) x = 0, b) No real solutions, c) x = 7, -7.

In order to find the solutions to each equation, we can use a graph of the related function. Let's go through each equation:

a. x² + 4 = 4

Subtracting 4 from both sides of the equation, we get x² = 0. This means x = 0 is the only solution.

b. x² + 16 = 0

Subtracting 16 from both sides gives us x² = -16. Since the square of a real number cannot be negative, there are no real solutions to this equation.

c. x² - 49 = 0

Adding 49 to both sides yields x² = 49. Taking the square root of both sides gives x = ±7. So the solutions to this equation are x = 7 and x = -7.

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Answer:

[tex] \pm1[/tex]

Step-by-step explanation:

The given equation is

[tex] {x}^{3} - 4x + 1 = 0[/tex]

According to the rational roots theorem, the possible rational roots are all factors of the constant term, expressed over all

factors of the leading coefficient.

The factors of the leading term, 1 are:

±1

The factors of the leading coefficient are:

±1

The possible rational roots are:

[tex] \pm1[/tex]

Answer:

volume of cube = side × side × side

Step-by-step explanation:

1120 × volume of one cube

1120× (1/8)

1120/8

= 140 units

Hope it helps you

Thanks

Answer:

133.87 ft

Step-by-step explanation:

Answer:

225

Step-by-step

15 x 15 =225

Answer:

225

Step-by-step explanation:

multiply 15x15 to get your answer. We do this because each row has 15 stamps and 15 rows have 225 stamps.

Answer: there is no x

Step-by-step explanation:

5x + 3(×)= 10x -2x -37

Open the bracket

5x + 3×= 10x -2x -37

Combine like terms

8x= 8x-37

8x - 8x = -37

0 = -37

Question:

If y varies inversely with the square of r, what is the constant of proportionality when y =10 and r = 5?

Answer:

The constant of proportionality is 250

Solution:

Given that,

y varies inversely with the square of r

Which means,

[tex]y \propto \frac{1}{r^2}\\\\y = k \times \frac{1}{r^2}[/tex]

Where, "k" is constant of proportionality

Subtitute y = 10 and r = 5

[tex]10 = k \times \frac{1}{5^2}\\\\10 = k \times \frac{1}{25}\\\\k = 10 \times 25\\\\k = 250[/tex]

Thus the constant of proportionality is 250

Answer:

Range: 12 - 32     Median: 15

Step-by-step explanation:

The range is pretty simple... It is the lowest number in the set to the highest number in the set. The lowest number is 12 and the highest number is 32.

The median of a set of numbers is the number that's in the middle. This is different from the mean because you're not finding the average, but actually the middle number.

To find the median, order the numbers from lowest to highest...

12,  13,  13,  15,  16,  19,  32

So, the median of this set is 15, because it is the middle number.

Answer:

Opens downward, like a frowning face

Step-by-step explanation:

Answer:

down

Step-by-step explanation:

Since the coefficient of the x^2 term is negative, the parabola makes a frown and opens upside down

Answer:

d

Step-by-step explanation:

Answer: 48

Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set which in this case is 108 - 60 or 48. So the range of this data set is 48.

NO.,the given measures can not be the lengths of the sides of a triangle

Step-by-step explanation

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

so, Find the range for the measure of the third side of a triangle given the measures of two sides.

here given measures are 2,2,6

2+2 = 4 which is less than the third side 6

        = 4 < 6    

This not at all a triangle.

Hence, the given measures can not be the lengths of the sides of a triangle

Answer:

The best is Option D, because the number 7.28 is between 7 and 8 which is a good estimate.

Step-by-step explanation:

Since the square root of 53 is:  7.28...

sqrt(36) = 6

sqrt(64) = 8

sqrt(81) = 9

sqrt(49) = 7

Option D would be the best estimate

Answer:  The best is Option D, because the number 7.28 is between 7 and 8 which is a good estimate.

Answer:

D

Step-by-step explanation:

A.√36 and √64  = 6 +8

B.√64 and √81  = 8+9

c.√36 and √49  6+7

D.√49 and √64  7+8

The estimate of 53? is below 8 and above 7 so it is D

The total cost is about $26.58

The total cost including the sales tax and the tip is approximately $26.58.

The total cost including the sales tax and the tip is calculated as follows:

First, calculate the sales tax by multiplying the bill amount by the sales tax rate:

Sales tax = $21.60 × 7% = $21.60 × 0.07 = $1.512.

Add the sales tax to the original bill to get the total after sales tax:

Total after sales tax = $21.60 + $1.512 = $23.112.

Next, calculate the tip by multiplying the total after sales tax by the tip rate:

Tip = $23.112 × 15% = $23.112 × 0.15 = $3.4668.

Finally, add the tip to the total after sales tax to get the final total cost:

Total cost including tip = $23.112 + $3.4668 = $26.58 (rounded to the nearest cent).

Answer:

Step-by-step explanation:

Multiply the given values by any number you like. The results will be integers if the number is even.

  ×2 gives 3×2 : (3 1/2)×2 = 6 : 7

  ×3 gives 3×3 : (3 1/2)×3 = 9 : 10 1/2

  ×4 gives 3×4 : (3 1/2)×4 = 12 : 14

Answer:

Step-by-step explanation:

The given table is

x    f(x)

-2   -10

-1    -8

0    -6

1     -4

2    -2

3    0

Remember, x-intercept has the form [tex](k,0)[/tex] where [tex]k[/tex] is a real number. In other words, x-intercept are points with a null y-coordinate.

As you can see in the given table, the x-intercept is at [tex](3,0)[/tex].

Therefore, the right answer is the second choice.

Answer:

fraction 1 over 2 (18 × 4) = 36

[tex] \because [/tex]Area of standard triangle

[tex]= \frac{1}{2} \times base\times height. [/tex]

Where,

Base of triangle = lenght of rectangle = 18 feet

&

Height of triangle = width of rectangle = 4 feet

Zhen pattern will be

[tex]0, 18, 36, 54, 72, 90,\ldots[/tex]

Justin pattern will be

[tex]0, 6, 12, 18, 24, 30,\ldots[/tex]

Since Zhen always add 18 and Justin always adds 6, and 6 is one third of 18, the n-th element of Zhen's pattern will always be three times the n-th element of Justin's pattern.

Answer: A

Step-by-step explanation:

Triangle Proportionality Theorem Converse states that if a line divides two sides of a triangle proportionally, then it is parallel to the third side.

Answer:

14.4

Step-by-step explanation:

Use the Pythagorean Theorem: a^2 + b^2 = c^2

Answer:

14.4

Step-by-step explanation:

Answer:

Question 1:  4/5 or %80

Question 2:  7/10 or %70

Step-by-step explanation:

Step 1:  Find the total amount of marbles

5 + 2 + 3

10

Step 2:  Find the probability of not drawing a black marble

Add the total amount of marbles that are not black

5 + 3

8

Now find the probability:  

8/10

4/5 or %80

Answer:  4/5 or %80

Step 3:  Find the probability of not drawing a red marble

Add the total amount of marbles that are not red

5 + 2

7

Now find the probability:

7/10 or %70

Answer:  7/10 or %70

Answer: its 4/81

Step-by-step explanation:

i just did it

Answer:

D. Positive association

Step-by-step explanation:

The line of best fit would have a positive slope

Speed is 231 ft/s.

Distance is 4620 ft.

Solution:

First we have to convert the unit of speed from m/s to ft/ s.

Then for 20 seconds, we have to calculate the feet covered by the parachute.

[tex]1 meter $=3.3$ feet\\\\$\frac{70 \frac{m}{s} \times 3.3 f t}{1 m}=231 \frac{f t}{s}$[/tex]

In 20 seconds, the parachute covers the distance of,

[tex]231 \frac{f t}{s} \times 20 s=4620 \mathrm {ft}[/tex]

Answer:

(4,3), y-coordinate is 3

Step-by-step explanation:

If we're translating down, that means we are subtracting however many units we go down by the y-coordinate.

So 5-2=3, and the new y-coordinate is 3

Answer is (4,3)

Step-by-step explanation:

So you need to this...

(x), (y-2)

Now you need to leave the x because It won't do nothing but the y yes because it said bring 2 units down so its (y-2) because its going negative. Now subtract the number you have given.

Now replace y with 5 and subtract 2.

Now you will be given the answer (4,3)

Hope this helps you :)

Answer:

The correct answer is B. 144