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KiRa [710]
2 years ago
15

What is the greatest common factor of 34, and 85​

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
7 0

Answer:

GCF = 17

Step-by-step explanation:

For the values 34, 85

Solution by Factorization:

The factors of 34 are: 1, 2, 17, 34

The factors of 85 are: 1, 5, 17, 85

Then the greatest common factor is 17.

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Find the integer that lies between <img src="https://tex.z-dn.net/?f=%24%5Csqrt%5B3%5D%7B-45%7D%24%20and%20%24%5Csqrt%5B3%5D%7B-
Romashka-Z-Leto [24]

∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45

Similarly,

∛(-101) = - ∛101

Now,

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• 5³ = 125, so ∛101 would similarly fall between 4 and 5

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3 < ∛45 < 4 < ∛101 < 5

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2 years ago
What’s the value of X in this triangle
bearhunter [10]

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6 0
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Read 2 more answers
How many solutions are possible for a triangle with A = 113° , a = 15, and b = 8
statuscvo [17]

Answer:

One solution.

Step-by-step explanation:

To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A  it is equal to side b divided by the sine of angle B,  and also equal to side c divided by the sine of angle C</em>".

Using the law of sines we have:

\frac{sin(A)}{a} = \frac{sin(B)}{b}

\frac{sin(113)}{15} = \frac{sin(B)}{8}

Solving for B, we have:

sin(B)=0.4909

∠B = 29.4°

Therefore, the measure of the third angle is: ∠C = 37.6°

There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.

Therefore, there is one triangle that satisfies the conditions.

7 0
2 years ago
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