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2 years ago

Select the false statement

Mathematics

2 answers:

Vlad1618 [11]2 years ago

5 0

Answer: D. Angles that form a linear pair are sometimes supplementary.

That is not true, linear pairs are always supplementary.

lbvjy [14]2 years ago

5 0

Answer:

D. Angles that form a linear pair are sometimes supplementary.

~OAmalOHopeO

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Which of the following sets could be the sides of a right triangle?

coldgirl [10]

Answer: Choice B) {3, 5, sqrt(34)}

=====================================

Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

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For choice A,

a = 2

b = 3

c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

c^2 = (sqrt(10))^2 = 10

which is not equal to 13 from above. Cross choice A off the list.

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Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

a^2 = 3^2 = 9

b^2 = 5^2 = 25

c^2 = (sqrt(34))^2 = 34

We can see that

a^2+b^2 = 9+25 = 34

which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

25+64 = 144

89 = 144

which is a false equation allowing us to cross choice C off the list.

7 0

2 years ago

Let me know the answer plz

Gala2k [10]

Answer:

The correct answer option is H. 4374.

Step-by-step explanation:

We are given the following geometric sequence and we are to find its 8th term:

$\frac{2}{9}, \frac{2}{3}, 2,...$

Here $a_1=\frac{2}{9}$ and common ratio $(r) = \frac{\frac{2}{3} }{\frac{2}{9} } =3$ .

The formula we will use to find the 10th term is:

nth term = $a_1 \times r^{(n-1)}$

Substituting the values in the formula to get:

10th term = $\frac{2}{9} \times 3^{(10-1)}$

10th term = 4374

7 0

2 years ago

A solution's temperature increased 11.3°C in 5 minutes. What was the average temperature increase per minute? Answer: _______ °C

sertanlavr [38]

Answer:

2.26° per minute

Step-by-step explanation:

11.3 / 5

7 0

2 years ago

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from

Kryger [21]

Answer:

The expression would give the probability that one marble is yellow and the other marble is red is,

$P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)$

Step-by-step explanation:

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. So in total there are 25 marbles.

Hence,

Probability of getting yellow ball = $P(Y)=\dfrac{8}{25}$

Probability of getting red ball = $P(R)=\dfrac{5}{25}$

Probability that one marble is yellow and the other marble is red is,

$P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)=\dfrac{8}{25}\cdot \dfrac{5}{25}+\dfrac{5}{25}\cdot \dfrac{8}{25}=0.128$

8 0

2 years ago

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The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is cl

gladu [14]

Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.

The distances: