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3 years ago

Find the missing side of the triangle

Mathematics

1 answer:

Leona [35]3 years ago

6 0

Answer:

Step-by-step explanation:

Using Pythagoras theorem, we have

x^2+11^2=15^2, x^2=104, x=2*sqrt(26)

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Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that

timama [110]

Answer:

Step-by-step explanation:

Given that evolution theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and wakingdash–even if they are not exposed to the usual pattern of sunlight.

Sample size n = 8

df = 8- 1=7

Since population std deviation is not known, and sample size is small we can use only t test

$H-0: x bar = 24\\H_a: x bar \neq 24$

(two tailed test at 5% level of significance)

mean 25

sd 3.142857143

se 1.111167799

Test statistic = Mean diff/se = 1.595

p = 0.1546

since p >0.05, accept null hypothesis.

There is no evidence to prove that the steady cycle is different from 24 hours.

4 0

4 years ago

The real numbers $x$ and $y$ are such that \begin{align*} x + y &= 4, \\ x^2 + y^2 &= 22, \\ x^4 &= y^4 - 176 \sqrt{

tamaranim1 [39]

You get everything you need from factoring the last expression:

$x^4-y^4=-176\sqrt7$

The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with

$x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)$

Plug in everything you know and solve for $x-y$ :

$-176\sqrt7=(x-y)\cdot4\cdot22\implies x-y=\boxed{-2\sqrt7}$

4 0

3 years ago

Read 2 more answers

Find two consecutive intergers whose sum is -29

boyakko [2]

-29= x + (x + 1)
-29= 2x +1
-30= 2x
-15=x
The answer is -15, -14.

6 0

3 years ago

Select the correct answer.<br> Which graph represents the given exponential function?

Allushta [10]

Answer:

the ans is C..... good luck

7 0

3 years ago

What’s the answer to number 4 ?

Marizza181 [45]

Answer:

$4.36*10^-^1$

Step-by-step explanation:

Given:

$(3.6*10^-^2)+(4.0*10^-^1)$

Make the power of '10' equal by shifting the decimal place of any one value.

$(0.36*10^-^1)+(4.0*10^-^1)$

Taking the ' $10^-^1$ ' common

$10^-^1*(0.36+4.0)$

Adding the values in the bracket gives:

$4.36*10^-^1$

7 0

4 years ago

Read 2 more answers