All categories

3 years ago

Please help and show all work

Mathematics

2 answers:

Verizon [17]3 years ago

8 0

1) a^2 = c^2 - b^2
a^2 = 5^2 - 4^2
a^ 2 = 9
(Square root 9)
a = 3

2) a^ 2 + b^2 = c^2
8^2 + 4^2 = c^2
80 = c^2
(Square root of 80)
C = 8.9 cm

3) a^2 + b^2 = c^2
6^2 + 2^2 = c^2
40 = c^2
(Square root of 40)
C = 6.3 cm

4) a^2 + b^2 = c^2
10^2 + 24^2 = c^2
676 = c^2
(Square root of 676)
C = 26

5) a^2 + b^2 = c^2
6^2 + 5^2 = c^2
61 = c^2
C = 7.8cm

6) a^2 + b^2 = c^2
12^2 + 12^2 = c^2
288 = c^2
C = 16.97cm

7) 8^2 + 6^2 = c^2
100 = c^2
C = 10

8) a^2 = c^2 - b^2
a^2 = 25^2 - 20^2
a^2 = 225
a = 15

9) a^2 = 14^2 - 9^2
a^2 = 115
a = 10.7cm

10) a^2 = 20^2 - 15^2
a^2 = 175
a = 13.2cm

11) Does 15^2 + 8^2 = 17^2?
289 = 289

Yes it’s a right angled triangle because 15^2 + 8^2 = 17^2

Do the same for the others

12) 7^2 + 5^2 = 74
9^2 = 81

So it’s not a right angled triangle

13) 5^2 + 12^2 = 169
13^2 = 169

It is a right angled triangle

14) 9^2 + 12^2 = 225
16^2 = 256

Not a right angled triangle

15) 10^2 + 24^2 = 676
26^2 = 676

It is a right angled triangle

16) 2^2 + 2^2 = 8
3^2 = 9

Not a right angled triangle

frutty [35]3 years ago

5 0

Im just here to correct what the other person wrote so I dont have to write everything I read it and its right please give her a thanks

You might be interested in

What is the equation of the line in slope-intercept form that is perpendicular to the line y=3/4x-2 and passes through the point

tatyana61 [14]

Answer:

Step-by-step explanation:

You have to plug numbers into point slope formula (make sure to use a slope of -4/3 since its perpendicular) and then solve for y.

7 0

3 years ago

Leveled Practice in 1-4, find the unit rate.

pashok25 [27]

Answer:

13mph

Step-by-step explanation:

you must multiply both fractions by the reciprocal of 1/65 which is 65/1

(1/5 * 65/1) / (1/65 * 65/1)

(65/5) / (65/65)

13/ 1

13/1 = 13

5 0

3 years ago

Y= -2x+3 fill in the table using this function rule.

sp2606 [1]

Answer:

there is no table!

Step-by-step explanation:

7 0

3 years ago

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

Average winter temperatures in 45 states were recorded and divided by geographic region. Choose True or False for each statement

san4es73 [151]

Answer: SU, TU, ST is the right answer

Step-by-step explanation: In a triangle

The largest side and the largest angle are opposite to each other

The shortest side and the shortest angle are opposite to each other.

So using the above axioms we can observe the triangle.

The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largest

The smallest angle is m∠T = 25° so the shortest side is SU

The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°

So the sides in order from least to greatest are: SU, TU, ST

5 0

3 years ago