How is the answer 16? Please explain

Mathematics

1 answer:

Viktor [21]3 years ago

7 0

Triangle STU is similar to triangle SVW
so

TU ST
------- = ---------- (as you know SV = ST + TV = 12 + 18 = 30)
VW SV
so
TU 12
------- = ----------
40 30

TU = 12 * 40 / 30
TU = 16

answer
16 inches

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{[14-2×3]-[18÷(12-3)]}+{42-11×3+[(65-9×5)+3]}

natali 33 [55]

Use Bidmas, solve all the inner brackets (), with first division, then multiplication then addition then subtraction

5 0

3 years ago

The probability that A will die within the next 20 years is 0.025, and that B will die within the next 20 years is 0.030. What i

sergey [27]

Answer:

0.00075

0.02425

0.94575

Step-by-step explanation:

Let E1 be the event that A dies within next 20 years and E2 be the event that B dies within next 20 years.

Probability that E1 occurs = P(E1) = 0.025

Probability that E2 occurs= P(E2)= 0.030

Since the two events does not depend on each other, E1 and E2 are independent events.

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P(E1 ∩ E2) = P(E1)*P(E2)

Probability that both A and B dies in next 20 years = $0.025\times0.03=0.00075$

Probability that A will die and B will not die is given by=

P(E1 ∩ E2') = P(E1) - P(E1 ∩ E2) = 0.025 - 0.00075 = 0.02425.

Probability that neither A nor B dies is given by=

P(E1' ∩ E2') = 1 - [ P(E1 ∪ E2) ] = 1 - [ P(E1) + P(E2) - P(E1 ∩ E2) ]

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4 0

3 years ago

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stepan [7]

Answer:

$\large\boxed{x=6}$

Step-by-step explanation:

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