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2 years ago

The public debt of Apexico is 4,628,599,173,971,366 Apex dollars, while its

Mathematics

1 answer:

Ivanshal [37]2 years ago

3 0

The public debt of Apexico is 4,628,599,173,971,366 Apex dollars, while its

gross domestic product (GDP) is 15,274,449,110,385,172 Apex dollars. What

is Apexico's debt-to-GDP ratio?

Answer: 30%

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What is the domain of the function y=tan (x/8)<br> Please Help<br> 15 Points

7nadin3 [17]

1. You have the function $y=tan(\frac{x}{8} )$

2. You know that $y=\frac{sinx}{cosx}$ with $cosx\neq 0$ , because the division by zero is not defined. So , $cosx=0$ for $\frac{(2n+1)\pi}{2}$ where $n$ is a integer number.

3. Then, to find the domain of the function given in the problem, you must make $\frac{x}{8} \neq \frac{k\pi}{2} \\ x\neq 4k\pi$

Where $k$ is odd number.

4. Therefore:

$x\neq 4\pi (2n+1)$

5. Finally, the domain is: $4\pi (2n+1)$

The answer is: $4\pi (2n+1)$

5 0

3 years ago

Read 2 more answers

Jean is 25 years older than her daughter Charlotte. In ten years, Jean will be twice Charlotte's age. How old are Jean and Charl

allsm [11]

Charlotte is 15 while jean is 40

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2 years ago

WORTH 20 POINTS HELP

vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}$

$RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}$

$ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}$

$TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}$

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$QR = \frac{9 + 1}{2 + 3} = \frac{10}3$

$RS = \frac{5-9}{-4 - 2} = \frac{2}3$

$ST = \frac{5+5}{-4 + 7} = \frac{10}3$

$TQ = \frac{-5+1}{-7 + 1} = \frac{2}3$

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

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2 years ago

Two different lines lie in the same plane.

nikitadnepr [17]

Answer:

Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times. The symbol // is used to denote parallel lines.

how to prove that two lines are equal: If two lines are cut by a transversal and the alternate exterior angles are equal, then the two lines are parallel. Angles can be equal or congruent; you can replace the word "equal" in both theorems with "congruent" without affecting the theorem. So if ∠B and ∠L are equal (or congruent), the lines are parallel. therefore the answer is E. The two lines are everywhere equidistant.

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2 years ago

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15. The length of each edge of a regular tetrahedron,

grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35 $\mathrm{cm}^{3}$