Solve for 7 and 8 please

Mathematics

1 answer:

Masteriza [31]2 years ago

8 0

To divide exponents they have to have the same base and then you just subtract the bottom exponent from the top exponent.

7) k × 3^9
----------- =
3^5

k × 3^9-5 =
k × 3^4 =
k × 81 = 81k

8) x^4 × y^10 × 2^11
------------------------ =
y^8 × 2^7

x^4 × y^10-8 × 2^11-7 =
x^4 × y^2 × 2^4 =
x^4 × y^2 × 16=
16x^4y^2

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Given that a randomly chosen quadrilateral has four right

motikmotik

Answer:

0.25

Step-by-step explanation:

complete question:

Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R).

See attachment for the figure.

SOLUTION:

At Venn diagram there are 4 parts (20 pieces):

-> blue colored - quadrilaterals having four equal side lengths (3 pieces)

-> orange colored - quadrilaterals with four right angles (6 pieces)

-> blue and orange colored - quadrilaterals with four right angles and with four equal side lengths (2 pieces)

-> white colored - quadrilaterals without previous two properties (9 pieces).

Considering events:

A -> a randomly chosen quadrilateral has four right angles;

B -> a randomly chosen quadrilateral has four equal side lengths;

By using formula : $P(B|A)=\dfrac{Pr(A\cap B)}{Pr A}$ in order to find probability that a randomly selected quadrilateral with 4 right angles also has four equal side lengths: