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3 years ago

10

5, 6, 7 will these numbers create a right triangle true or false

1 answer:

kobusy [5.1K]3 years ago

4 0

So in order to tell if something makes a right triangle we would use the formula Pythagorean theorem.a^2+b^2=c^2 and it must be equal and the same if not then those sides cant be use to make a right triangle

5^2+6^2=7^2

25+36=49

61=49

No ! False

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A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l

lesya692 [45]

Answer:

The probability that a call last between 4.2 and 4.9 minutes is 0.4599

Step-by-step explanation:

Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula

$W = \frac{X-\mu}{\sigma} = \frac{X-4.2}{0.4}$

We will use $\phi$ , the cummulative distribution function of W. The values of $\phi$ are well known and the can be found in the attached file

$P(4.2 < X < 4.9) = P(\frac{4.2-4.2}{0.4} < \frac{X-4.2}{0.4} < \frac{4.9-4.2}{0.4}) = P(0 < W < 1.75) = \\ \phi(1.75) - \phi(0) = 0.9599-0.5 = 0.4599$

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599

7 0

3 years ago

Why can you use cross products to solve the proportion

Bezzdna [24]

Answer:

B) because 18 times 100 is equal to 5 times x, which means that x is equal to

Step-by-step explanation:

B is the only statement that is true

<em>If you use cross product property to solve these proportions B is the only one that is correct</em>

<em>A) 18/x and 5/100 </em><em>x= 360 not 36</em>

<em>B) 18/x and 5/100 </em><em>x=360</em>

<em>C) 18/100 and 5/x </em><em>x = 27.7 not 36</em>

<em>D) 18/100 and 5/x </em><em>x= 27.7 not 360</em>

8 0

3 years ago

Read 2 more answers

while teresa listened to the radio, there were 9minutes of commercials, 12 minutes of talk, and 29minutes of music what percent

ahrayia [7]

To find this, you'll want to divide the amount of music by the total amount of time. 29/(9+12+29) = 29/50 = 58/100 = 58%

4 0

3 years ago

Use a half-angle identity to find the exact value

Tatiana [17]

Given:

$\cos 15^{\circ}$

To find:

The exact value of cos 15°.

Solution:

$$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}$

Using half-angle identity:

$$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}$

$$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}$

Using the trigonometric identity: $\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}$

$$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}$

Let us first solve the fraction in the numerator.

$$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}$

Using fraction rule: $\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}$

$$=\sqrt{\frac {2+\sqrt{3}}{4}}$

Apply radical rule: $\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

Using $\sqrt{4} =2$ :

$$=\frac{\sqrt{2+\sqrt{3}}}{2}$

$$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}$

5 0

3 years ago

Cual es el 20% de 75

ValentinkaMS [17]

20% de 75 es 50...<span>Es el iniciador</span>

4 0

3 years ago

Read 2 more answers