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GalinKa [24]
4 years ago
14

A bridge connecting two cities separated by a lake has a length of 5.651 mi.

Mathematics
1 answer:
Vlada [557]4 years ago
7 0

Answer:

The equivalent of 5.651 mi is 9945.76  yards

Step-by-step explanation:

Given:

Length of lake = 5.651 mi

Required:

Length of bridge in yards

From table of facts;

1 mile = 1760 yards

This implies that

5.651 miles will be:5.651 * 1760 yards

5.651 * 1760 yards = 9945.76  yards

5.651 * 1760 yards = 9945.8  yards (Aproximated)

Hence, the equivalent of 5.651 mi is 9945.76  yards

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The circle below has center O, and its radius is 4 ft. Given that m ZAOB=50°find the length of the minor arc AB.
exis [7]

Answer:

The length of minor arc AB is \frac{10}{9} π  ft

Step-by-step explanation:

The formula of the length of an arc in a circle is L = \frac{\alpha }{360} × 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle

∵ The radius of the circle is 4 ft

∴ r = 4

∵ ∠AOB is a central angle subtended by minor arc AB

∵ m∠AOB = 50°

∴ α = 50°

Substitute the values of r and α in the rule above

∵ L = \frac{50}{360} × 2π(4)

∴ L = \frac{10}{9} π

∴ The length of minor arc AB is \frac{10}{9} π  ft

7 0
4 years ago
Sebastian has 50 marbles in a bag. 20% of the marbles are green. How many marbles are green?
Ede4ka [16]

Answer: 10

Step-by-step explanation:

50 divided by 10 is 5

10%=5

20%=10

7 0
3 years ago
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Inessa05 [86]
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8 0
3 years ago
Probability is a measure of how likely an event is to occur. write the probability of the following statements:
attashe74 [19]

Step-by-step explanation:

This is a probability related question, let the event be E

We know that the likelihood of an event happening is given as

Pr(E)=1

if an event will not occur the probability is

Pr(E)=0

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b.This event will occur more often than not, but is not extremely likely:  

Pr(E)=0<E>0.5

c.This event is extremely unlikely, but it will occur once in a while in a long sequence of trials:

Pr(E)=0<E<0.5

d.This event will occur for sure: Pr(E)=0

7 0
3 years ago
The equation of line m is 3x−5y=−4
vaieri [72.5K]
Slope of this line, -5y = -3x - 4
y = 3/5x + 4/5
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In short, Your Answer would be -5/3

Hope this helps!
4 0
4 years ago
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