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3 years ago

How do you know if vertices make a right triangle?

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

If the angle is 90 degrees then it is automatically a right triangle anything above or below that is either acute or obtuse angles

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Solution to m^2- 36=0

alex41 [277]

Answer:

m=(-6,6)

Step-by-step explanation:

m^2 -36 = 0

Reorder the terms:

-36 + m^2 = 0

Solving for variable 'm'.

Add '36' to each side of the equation.

-36 + 36 + m^2 = 0 + 36

Combine like terms: -36 + 36 = 0

0 + m^2 = 0 + 36

m^2 = 0 + 36

Combine like terms: 0 + 36 = 36

m^2 = 36

Simplifying

m^2 = 36

Take the square root of each side:

√m^2=+/-√36

m=(+/-)6

m = {-6, 6}

4 0

3 years ago

50 Points What is the value of r? 6.4r−5.9r=−3.25 Question 1 options: A -6.5 B 6.5 C -3

Oliga [24]

Answer:

Option A. -6.5

Step-by-step explanation:

we have

$6.4r-5.9r=-3.25$

Solve for r

That means ---> isolate the variable r

Combine like terns left side of the equation

$0.5r=-3.25$

Divide by 0.5 both sides

$0.5r/0.5=-3.25/0.5$

$r=-6.5$

4 0

3 years ago

A researcher is interested in determining the mean energy consumption of a new

Nana76 [90]

Answer:

The most appropriate value of the critical value is 2.289.

Step-by-step explanation:

We are given that a researcher takes a random sample of 41 bulbs and determines that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.

We have to find that when constructing a 97% confidence interval, which would be the most appropriate value of the critical value.

Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.

So, for finding the critical value we will look for t table at (41 - 1 = 40) degrees of freedom at the level of significance will be $\frac{1 - 0.97}{2} = 0.015$ .

Now, as we can see that in the t table the critical values for P = 1.5% are not given, so we will interpolate between P = 2.5% and P = 1%, i.e;

$\frac{0.015 - 0.025}{0.025-0.01}= \frac{\text{Critcal value}-2.021}{2.021-2.423}$

So, the critical value at a 1.5% significance level is 2.289.

7 0

3 years ago

graph these two equations The quadratic equation y = –6 x 2 + 100 x – 180 models the store daily profit, y, for selling soccer b

kolezko [41]

Solve the equations and plot the anwsers

6 0

3 years ago

Arithmetic and geometric series -Find the sum of the first 50 terms of the following series, to the nearest integer.

grandymaker [24]

Answer:

Step-by-step explanation:

21-13=8 and 29-21=8

So this is aritmetic series where a₁ = 13, and r = 8

Sum of the first n terms:

$S_n=\dfrac{a_1+a_n}{2}\cdot n=\dfrac{a_1+a_1+(n-1)r}{2}\cdot n=\dfrac{2a_1+(n-1)r}{2}\cdot n\\\\\\S_{50}=\dfrac{2\cdot13+(50-1)\cdot8}{2}\cdot50=(13+49\cdot4)\cdot 50=10,450$

5 0

3 years ago