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2 years ago

In Exercises 4 and 5, tell whether the triangle is a right triangle

1 answer:

meriva2 years ago

7 0

A triangle that is a right triangle will have a sides that form the basis of Pythagorean triple or theorem, which is given as: c² = a² + b². (see diagram attached below).

<h3>What is a Right Triangle?</h3>

A triangle that has one of its angles as right angle or two of its sides are perpendicular is referred to as a right triangle or right-angled triangle.

Thus, a triangle that is a right triangle will have a sides that form the basis of Pythagorean triple or theorem, which is given as: c² = a² + b². (see diagram attached below).

Learn more about right triangle on:

brainly.com/question/2437195

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Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. she starts by assigning coordinates

storchak [24]

The solution for the problem is:

d(S,P) = √(0-0)^2 + √(b-0)^2<span>
d(S,P) = √b^2
d(S,P) = b

</span>

so we know that<span>, SP = b</span>

d(P, Q) = √(a-0)^2 + √(b-b)^2
d(P, Q) = √a^2
d(P, Q) = a
so
PQ = a

SQ = c^2 = a^2 + b^2
SQ = √(a^2 + b^2)

Therefore, the answer is √(a^2 + b^2).

5 0

4 years ago

Microsoft wanted to increase the average length of time consumers spend playing their games during a gaming session. They found

Alecsey [184]

Answer:

The answer is "Yes".

Step-by-step explanation:

In this question, the answer is "yes" because as the sample group of 50, it is now under the population size of 10 percent, and Often the random sample is less than 30. It doesn't require the standard deviation, and for each of the samples it was selected randomly, therefore randomization becomes achieved.

5 0

3 years ago

What is the value of y in the following system y= 3x-5 6x+3y=15

Misha Larkins [42]

X=2. You use substitution to put the y=3x-5 into 6x+3y=15.
So you get 6x+3(3x-5)=15
=6x+9x-15=15
add 15 on both sides to get the x's alone and add the x's together.
6+9=15 -- 15+15=30
15x=30
30/15 =2
x=2

7 0

4 years ago

Read 2 more answers

PLS HELP ME!!! The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of

Pachacha [2.7K]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

$V = 3.14*16*4$

$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$