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3 years ago

2/3 to twenty-firsts

Mathematics

1 answer:

nikdorinn [45]3 years ago

6 0

Answer:

14/21

Step-by-step explanation:

1. Find the value of x

Step 1: Write it as an equation.

$\frac{2}{3} = \frac{x}{21}$

Step 2: Cross-multiply.

$2 * 21 = 3 * x$
$3x = 42$

Step 3: Divide both sides by 3.

$\frac{3x}{3} = \frac{42}{3}$
$x = 14$

2. Now that we know the numerator is 14 and the denominator is 21, we can write it as a fraction: 14/21.

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At which values of x does the function F(x) have a vertical asymptote? Check

Vaselesa [24]

Answer:

x=0, x= - 3, x=9

Step-by-step explanation:

f(x)=7/2x(x+3)(x-9)

f(x) doesn't exist for x=0,-3,9

$\lim_{x \to \ 0,-3,9} f(x) = inf$

vertical asymptote:

x=0, x= - 3, x=9

3 0

2 years ago

Devon will drive 7×3 or 21 miles in 7 hours. Logan will drive 7×3 or 21miles in 7 hours so logan will drive _ or how many miles

natulia [17]

Answer: I believe you answered your own question 21.

Step-by-step explanation: Logan will drive 7×3 or 21miles in 7 hours

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2 years ago

Find the exact length of the arc s in the figure. (Assume r = 3 and θ = 106°.)

NemiM [27]

Circumference = 2Pi(r) = 6Pi

angle of arc s = 360 - 106 = 254 degree

Arc length = 6Pi ( 254 ) / 360 = 4.2Pi

Pi = 3.14

8 0

2 years ago

The expressions 10/12(245b−365) and 2/3(3b+6) represent the lengths of the diagonals of parallelogram WXYZ. For what value of b

makkiz [27]

Answer:

b = 1.52

Step-by-step explanation:

Length of diagonals of a parallelogram = $\frac{10}{12}(245b - 365)$ and $\frac{2}{3}(3b+6)$

If the given parallelogram is a rectangle,

Length of the diagonals will be equal in measure,

Therefore, $\frac{10}{12}(245b - 365)=\frac{2}{3}(3b+6)$

245b - 365 = $\frac{12}{10}\times \frac{2}{3}(3b+6)$

245b - 365 = $\frac{4}{5}(3b+6)$

5(245b - 365) = 4(3b + 6)

1225b - 1825 = 12b + 24

1225b - 12b = 24 + 1825

1213b = 1849

b = $\frac{1849}{1213}$

b = 1.52

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2 years ago

Write and solve an equation to find the unknown angle.

Julli [10]

There's many properties you can use to find an unknown angle.

There are too many to lists but one core example would be an isosceles triangle that has two adjacent sides and angles.

Let's say that the sides of an isosceles triangle are any number "x"

now since two sides of the triangle are the same we can add these two x's together.

x+x = 2x

now the other side of the triangle can be anything you like. We can call it 4x for this example.

now if we add them all together we'll get 4x+2x=6x

Now since the angles of a triangle add up to 180 degrees
we can equate 6x=180 leaving x to be 30.

Now since x belongs to both sides of the triangle we can say that both angles are congruent as well because the two sides of the triangle are congruent. This is a known triangle law.

Since both angles are now 30 degrees this will leave us with 2(30) = 60

now if we subtract 180 - 60 we'll get 120 which is the remainder of the 3rd angle of the side that corresponds with 4x.
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3 years ago