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3241004551 [841]

3 years ago

5

In geometry, you can use deductive rules to.

1 answer:

Katen [24]3 years ago

7 0

B. Prove conjectures

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Determine and prove what shape is formed for the given coordinates for ABCD, and then find the

ella [17]

Answer:

Square

Step-by-step explanation:

Plot points A (10,-4), B (6,-7), C (3,-3), D (7,0) on the coordinate plane.

Find slopes of the sides:

$AB:\ \dfrac{-7-(-4)}{6-10}=\dfrac{3}{4}\\ \\BC:\ \dfrac{-3-(-7)}{3-6}=-\dfrac{4}{3}\\ \\CD:\ \dfrac{0-(-3)}{7-3}=\dfrac{3}{4}\\ \\DA:\ \dfrac{-4-0}{10-7}=-\dfrac{4}{3}$

The slopes of opposite sides are the same, so opposite sides are parallel. The slopes of adjacent sides have product of -1, then adjacent sides are perpendicular.

Find the lengths of all sides:

$AB=\sqrt{(10-6)^2+(-4-(-7))^2}=\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5\ units\\ \\BC=\sqrt{(6-3)^2+(-7-(-3))^2}=\sqrt{3^2+4^2}=\sqrt{16+9}=\sqrt{25}=5\ units\\ \\CD=\sqrt{(3-7)^2+(-3-0)^2}=\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5\ units\\ \\AD=\sqrt{(10-7)^2+(-4-0)^2}=\sqrt{3^2+4^2}=\sqrt{16+9}=\sqrt{25}=5\ units\\ \\$

All four sides are of the same length.

Quadrilateral ABCD is a square (all sides of equal length and perpendicular)

4 0

3 years ago

Find the volume of the cone.

Murrr4er [49]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Volume of cone :

$\qquad \sf \dashrightarrow \: \frac{1}{3} \pi{r}^{2} h$

Now, let's plug in the values as per the diagram ~

$\qquad \sf \dashrightarrow \: \frac{1}{3} \times 3.14 \times {(18)}^{2} \times 10$

$\qquad \sf \dashrightarrow \: \frac{1}{3} \times 31.4 \times 324$

$\qquad \sf \dashrightarrow \: 31.4 \times108$

$\qquad \sf \dashrightarrow \:3391.2 \: \: ft {}^{3}$

7 0

2 years ago

How much water vapour is contained in a cubic room.

Natalka [10]

Answer:

(the most the mixing ratio can be is) a maximum 10.699 g/kg of water vapor.

Step-by-step explanation:

i hope this helps u!

7 0

2 years ago

MATH PROBLEM SOLVING

Ksenya-84 [330]

Answer:

Probability[Selected ball is a white ball without replacement (W)] = 5 / 22

Step-by-step explanation:

Given:

Number of white ball in jar = 5

Number of black ball in jar = 6

Find;

Probability[Selected ball is a white ball without replacement (W)]

Computation:

Probability of an event = Number of favorable outcomes / Total number of outcomes

Probability of 1st white ball = 5 / [5 + 6]

Probability of 1st white ball = 5 / 11

Probability of 2nd white ball [without replacement] = 5 / [11 - 1]

Probability of 2nd white ball [without replacement] = 5 / 10

Probability[Selected ball is a white ball without replacement (W)] = [5/11][5/10]

Probability[Selected ball is a white ball without replacement (W)] = 25 / 110

Probability[Selected ball is a white ball without replacement (W)] = 5 / 22

4 0

3 years ago

Bruce added some chlorine to the water in a pool. The chlorine evaporated at a fixed rate every week. The table below shows the

jok3333 [9.3K]

The answer is F(n)=54 (0.5)^(n-1)

5 0

3 years ago