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DanielleElmas [232]

3 years ago

8

Consider this right triangle with given measures.

2 answers:

MrMuchimi3 years ago

8 0

Answer:

The answer is actually 39

Step-by-step explanation:

on edge

statuscvo [17]3 years ago

4 0

Answer:

The answer is 6 feet.

Step-by-step explanation:

Let's take a right angled triangle ABC which has 3 sides of lengths a, b and c. c is the longest side or the hypotenuse.

Then by Pythagoras rule:

$a^{2} +b^{2} =c^{2}$

Let's take the length of the unknown leg in the figure as $x$ .

Now lets substitute the values from the figure to above equation.

$x^{2} +5^{2} =\sqrt{61} ^{2}$

= $x^{2} +25 =61$

= $x^{2} =61-25$

= $x^{2} =36$

= $x=6$ or $x=-6$

Length of a triangle cannot be a negative value, so we can take +6 as the value of x.

So the answer is 6 feet.

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Which statement is true about the discontinuities of the function f(x)? f (x) = startfraction x minus 5 over 3 x squared minus 1

barxatty [35]

Answer:

there are holes at x= 3/2 and x=-1/3

Step-by-step explanation:

6 0

3 years ago

Suppose the distribution of home sales prices has mean k300, 000 and standard

777dan777 [17]

<u>Given</u>:

Mean,

$\mu = 300,000$

Standard deviation,

$\sigma = 50,000$

The Chebyshev theorem will be used for the solution of the given query,

i.e., $P(|X - \mu| < k \sigma ) \geq 1-\frac{1}{k^2}$

(i)

⇒ $1-\frac{1}{k^2} = 0.75$

$k = 2$

The lower limit will be:

= $\mu - k \sigma$

= $300000-2\times 50000$

= $200000$

The upper limit will be:

= $\mu + k \sigma$

= $300000+2\times 50000$

= $400000$

hence,

The 75% houses sold are between:

⇒ (200000, 400000)

(ii)

⇒ $\mu -k \sigma = Lower \ limit$

By putting the values, we get

$300000-50000k = 150000$

$300000-150000=50000k$

$150000=50000k$

$k=\frac{150000}{50000}$

$=3$

now,

⇒ $1-\frac{1}{k^2} = 1-\frac{1}{3^2}$

$=\frac{8}{9}$

$=0.8888$

$=88.88$ (%)

hence,

88.88% houses sold between 150000 and 450000.

(iii)

⇒ $\mu - k \sigma = Lower \ limit$

By putting the values, we get

$300000-50000k = 170000$

$300000-170000=50000 k$

$130000= 50000 k$

$k = \frac{130000}{50000}$

$=2.6$

now,

⇒ $1-\frac{1}{k^2} = 1-\frac{1}{2.6^2}$

$=0.8521$

$=85.21$ (%)

hence,

85.21% houses are sold between 170000 and 430000.

Learn more:

brainly.com/question/20897803

3 0

3 years ago

Mr. Rodriguez is assembling supply kits for his students. He has 24 pencils and 32 erasers. All the kits must have the same numb

lbvjy [14]

Answer:

1. 8 kits

2. 3 pencils and 4 erasers

4 0

3 years ago

A submarine is searching for underwater features. It is accompanied by a small aircraft

Ivanshal [37]

Answer:

255 m

Step-by-step explanation:

From the given question, the surface of the water body is the reference point. And this point is assumed to be 0, so that any distance above it is positive, and any distance below is negative. This is synonymous to the number line system.

Thus,

For the aircraft, its height = +200 m

For the submarine, its depth = -55 m

So that the difference between the submarine and aircraft can be determined as;

200 - (-55)

= 200 + 55

= 255 m

The distance between the submarine and aircraft is 255 m.

7 0

3 years ago

Write an equation for the line that passes through (-2,4) and (0,7)

xz_007 [3.2K]

Answer:

y = 3/2x + 7

Step-by-step explanation:

The slops is rise over run, so in this case the slope is 3/2 because it goes up 3 units while going 2 units to the right.

The points (0,7) is on the y axis. This means that 7 is the y intercept

With this information, we can follow the format of the slope intercept equation: y = mx + b

m stands for the slope and b stands for the y intercept. Plugging the information in, our equation is:

y = 3/2x + 7

8 0

3 years ago