Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So

a^2 +b^2 = c^2

5^2 + 5^2 = c^2

25 + 25 = c^2

√50 = c

Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).

a^2 +b^2 = c^2

√50^2 + 5^2 = c^2

50 + 25 = c^2

√75 = c

c = 8.6602...

<em>when rounded to 1 d.p.</em>

c = 8.7

Line AB is 8.7 cm long.

7 0

3 years ago

It has long been reported that human body temperature follows a normal distribution with a mean of 98.6 degrees Fahrenheit. Ther

Kay [80]

Solution :

The normal body temperature of any human body is considered to be 98.6 $^\circ \ F$ . But there is a constant debate about the body temperature of a long held standard to the body temperature.

It is given that :

Null hypothesis and alternate hypothesis :

$H_0 : \mu = 98.6$

And $H_A : \mu > 98.6$

n is given as = 180

Test statistics = 3.64

Prove = 0.018 < α = 0.05 (let reject null hypothesis for α = 0.05 )

Therefore, their results are statistically significant and the result is unlikely due to chance alone.

7 0

3 years ago

The larger of two numbers is 4 more than 2 times the smaller number. If the sum of the two numbers is 28, what is the larger num

Musya8 [376]

Answer:

The larger number is 20.

Step-by-step explanation:

Let x and y be the two numbers.

y = 2x + 4

x + y = 28

So x + 2x + 4 = 28

3x = 24

x = 8

y = 20

3 0

3 years ago