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satela [25.4K]
3 years ago
13

Hi guys . pls help me with this​

Mathematics
1 answer:
daser333 [38]3 years ago
6 0

Step-by-step explanation:

The upstream speed is S / t₁, and the downstream speed is S / t₂.

If we say f is the speed of the fish in calm water, and r is the speed of the river, then:

f − r = S / t₁

f + r = S / t₂

If we say T is the time it takes to cross the river, then the speed perpendicular to the river is ℓ/T, the speed parallel to the river is r, and the overall speed is f.

Using Pythagorean theorem:

f² = (ℓ/T)² + r²

f² − r² = (ℓ/T)²

(f − r) (f + r) = (ℓ/T)²

(S / t₁) (S / t₂) = (ℓ/T)²

S² / (t₁ t₂) = (ℓ/T)²

(t₁ t₂) / S² = (T/ℓ)²

√(t₁ t₂) / S = T/ℓ

T = ℓ√(t₁ t₂) / S

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Answer:

45

Step-by-step explanation:

Every Triangle has 180 degrees.

x + 8x + 3x = 180

12x = 180

x = 180/12

x = 15

Angle K = 3x

K = 3 * 15

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3 0
2 years ago
The mayor of a town believes that over 47G% of the residents favor construction of an adjoining community. Is there sufficient e
photoshop1234 [79]

Answer:

There is sufficient evidence at the 0.05 level

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

Step-by-step explanation:

percentage favoring construction of adjoining community = 47%

level = 0.05

To determine if the 0.05 confidence level is enough to support the major's claim we have to state the Null and alternative hypothesis

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

5 0
2 years ago
One bag contains three white marbles and five black marbles, and a second bag contains four white marbles and six black marbles.
Troyanec [42]
It will be 21/40

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probability getting both black marbles

5/8×6/10=30/80

12/80+30/80=42/80= 21/80
5 0
3 years ago
Read 2 more answers
Segment MN has endpoints at M(-5, 4) and N(7, -5). What is the midpoint of MN???? PLZ HELP
Paha777 [63]
Theres a formula to find the midpoint it’s... (x1+x2)/2, (y1+y2)/2. You fill in the x’s and y’s to get (-5+7)/2 for x, which equals 1 and (4-5)/2 to get -0.5. (1, -0.5) is your answer

7 0
3 years ago
Suppose there is a pile of quarters dimes and pennies with a total value of $1.07 how much of each coin can be present without b
Korolek [52]
Hello,

Very nice as problem.

2 solutions:
1 quater,8 dimes, 2 pennies
and
3 quaters,3 dimes, 2 pennies

since
107=( 0, 0, 107) but : 100= 0*25+ 0*10+ 100
107=( 0, 1, 97) but : 100= 0*25+ 1*10+ 90
107=( 0, 2, 87) but : 100= 0*25+ 2*10+ 80
107=( 0, 3, 77) but : 100= 0*25+ 3*10+ 70
107=( 0, 4, 67) but : 100= 0*25+ 4*10+ 60
107=( 0, 5, 57) but : 100= 0*25+ 5*10+ 50
107=( 0, 6, 47) but : 100= 0*25+ 6*10+ 40
107=( 0, 7, 37) but : 100= 0*25+ 7*10+ 30
107=( 0, 8, 27) but : 100= 0*25+ 8*10+ 20
107=( 0, 9, 17) but : 100= 0*25+ 9*10+ 10
107=( 0, 10, 7) but : 100= 0*25+ 10*10+ 0
107=( 1, 0, 82) but : 100= 1*25+ 0*10+ 75
107=( 1, 1, 72) but : 100= 1*25+ 1*10+ 65
107=( 1, 2, 62) but : 100= 1*25+ 2*10+ 55
107=( 1, 3, 52) but : 100= 1*25+ 3*10+ 45
107=( 1, 4, 42) but : 100= 1*25+ 4*10+ 35
107=( 1, 5, 32) but : 100= 1*25+ 5*10+ 25
107=( 1, 6, 22) but : 100= 1*25+ 6*10+ 15
107=( 1, 7, 12) but : 100= 1*25+ 7*10+ 5
107=( 1, 8, 2) is good
107=( 2, 0, 57) but : 100= 2*25+ 0*10+ 50
107=( 2, 1, 47) but : 100= 2*25+ 1*10+ 40
107=( 2, 2, 37) but : 100= 2*25+ 2*10+ 30
107=( 2, 3, 27) but : 100= 2*25+ 3*10+ 20
107=( 2, 4, 17) but : 100= 2*25+ 4*10+ 10
107=( 2, 5, 7) but : 100= 2*25+ 5*10+ 0
107=( 3, 0, 32) but : 100= 3*25+ 0*10+ 25
107=( 3, 1, 22) but : 100= 3*25+ 1*10+ 15
107=( 3, 2, 12) but : 100= 3*25+ 2*10+ 5
107=( 3, 3, 2) is good
107=( 4, 0, 7) but : 100= 4*25+ 0*10+ 0



4 0
3 years ago
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