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4 years ago

What is p(king or club)?

Mathematics

1 answer:

Lelechka [254]4 years ago

8 0

There are 52 cards in which 13 clubs and 4 kings but one king of club
p(king or club)=(13+3)/52
=16/52
=4/13

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70 POINTS!!!!!!!!!! Given: E, F, Q, D∈k(O),O ∈ ED, m∠DFQ = 10°, measure of arc EF = 28° Find: Angles of △EFQ

Likurg_2 [28]

Answer:

The measures of angles of triangle EFQ are

1) $m\angle EFQ=100\°$

2) $m\angle FEQ=66\°$

3) $m\angle EQF=14\°$

Step-by-step explanation:

step 1

Find the measure of arc QD

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle DFQ=\frac{1}{2}(arc\ QD)$

substitute the given value

$10\°=\frac{1}{2}(arc\ QD)$

$20\°=(arc\ QD)$

$arc\ QD=20\°$

step 2

Find the measure of arc FQ

we know that

$arc\ QD+arc\ FQ+arc\ EF=180\°$ ---> because ED is a diameter (the diameter divide the circle into two equal parts)

substitute the given values

$20\°+arc\ FQ+28\°=180\°$

$arc\ FQ=180\°-48\°=132\°$

step 3

Find the measure of angle EFQ

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle EFQ=\frac{1}{2}(arc\ QD+arc\ ED)$

substitute the given value

$m\angle EFQ=\frac{1}{2}(20\°+180\°)=100\°$

step 4

Find the measure of angle FEQ

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle FEQ=\frac{1}{2}(arc\ FQ)$

substitute the given value

$m\angle FEQ=\frac{1}{2}(132\°)=66\°$

step 5

Find the measure of angle EQF

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle EQF=\frac{1}{2}(arc\ EF)$

substitute the given value

$m\angle EQF=\frac{1}{2}(28\°)=14\°$

5 0

4 years ago

chubhunter [2.5K]

9514 1404 393

Answer:

$3277.23

Step-by-step explanation:

The future value of the CD with interest at rate r compounded semiannually for t years will be given by ...

A = P(1 +r/2)^(2t)

where P is the principal value.

For the given rate and time, this is ...

A = $2000(1 +0.05/2)^(2·10) = $2000(1.025^20) ≈ $3277.23

The value of the CD at maturity will be $3277.23.

6 0

3 years ago

John's goal is to have more than -7−7minus, 7 dollars in his bank account by the end of the month. The variable ddd is the numbe

gregori [183]

Answer:

tricky picky question pal,

Step-by-step explanation:

What are the awnswes

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3 years ago

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The science club is raising money for a trip to the museum. Tickets to the museum cost $8. Five students already have a membersh

serious [3.7K]

Answer:

s=? 296/8=37 37+5=42 42 kids will go

Step-by-step explanation:

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3 years ago

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Simplify the expression. Please help, really stuck!!

andrew11 [14]

(-2y + 5 ) ( y+3)
= -2y^2 -6y +5y +15
= -2y^2 - y +15
the answer is B

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4 years ago