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3 years ago

What is the solution to y^4z^3/y^6z^2=

1 answer:

7 0

Subtract the exponents of the corresponding variables.

y: 4-6 = -2
z: 3-2 - 1

Place the positive exponent of 1 as the numerator of the fraction. The negative exponent is placed as the denominator and switched to positive.

Final answer:
z/y^2
In words: z over y raised to the power of 2.

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June and Armando are each in a hot air balloon. Armando's balloon is at a slightly higher elevation than June's. The two balloon

Mandarinka [93]

Answer:

46.63 ft

Step-by-step explanation:

I've drawn and attached a triangle diagram to represent this elevation and distance of balloons.

Now, from the diagram attached, we can see the angle at which June must look up to see Armando is 25°.

Also, the height of Armando above June is represented by "x".

Thus, using pythagoras theorem, we can find x.

Thus;

x/100 = tan 25

x = 100 × tan 25

x = 100 × 0.4663

x = 46.63 ft

6 0

3 years ago

A triangle has a 60° angle, and the two adjacent sides are 12 and "12 times the square root of 3". Find the radius of a circle w

shusha [124]

The radius of a circle with the same vertex as a center is 12 units

<h3>Application of Pythagoras theorem;</h3>

To get the radius of the circle, we need to determine the diameter of the circle first:

According to SOH CAH TOA:

$sin\theta = \frac{opp}{hyp} \\sin60 = \frac{12\sqrt{3}}{hyp} \\hyp =\frac{12\sqrt{3}}{sin60} \\hyp =\frac{2\times12\sqrt{3}}{\sqrt3}} \\hyp = 24 = diameter$

Determine the radius of the circle

Radius = dismeter/2

Radius = 24/2

Radius = 12

Hence the radius of a circle with the same vertex as a center is 12 units

Learn more on radius of a circle here: brainly.com/question/24375372

5 0

2 years ago

4/5 of the magnets in George's collection are flags. 1/2 of those flags are U.S. flags.

enyata [817]

Answer: 2/5

Step-by-step explanation: How I got this answer is that 4/5 of George's collection are flags right? So I divided 4/5 by 2 to get 0.4 or 2/5. Hope this helps!!

3 0

4 years ago

Read 2 more answers

What is the sum of m A and m B if angles A and B are supplementary?

jok3333 [9.3K]

Answer:

following

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If A+B+C=<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align="absmiddle" class="latex-formula"

seraphim [82]

Answer:

$a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b)$

Step-by-step explanation:

we have:

$\tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)$

we also have:

$\tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)$

from (1)(2) => proven

5 0

3 years ago