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4 years ago

Set -A

Mathematics

2 answers:

Angelina_Jolie [31]4 years ago

6 0

7193829 trust me bro

Phantasy [73]4 years ago

5 0

Answer:

he gained 717523484

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Two lighthouses are located 60 miles from one another on a north-south line. If a boat is spotted S 21o E from the northern ligh

jasenka [17]

Answer:

(A)The northern lighthouse is 8.2 miles closer than the southern lighthouse.

Step-by-step explanation:

The triangle attached represents the given problem.

First, let us determine the distance of the Boat from each of the lighthouse.

In Triangle ABC,

∠A+∠B+∠C=180 degrees

21+∠B+16=180

∠B=180-37=143 degrees.

Using Law of Sines

$\frac{a}{Sin A}=\frac{b}{Sin B}\\\frac{a}{Sin 21^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\a*sin143=60*sin21\\a=60*sin21\div sin143\\a=35.73 miles$

Similarly

$\frac{c}{Sin C}=\frac{b}{Sin B}\\\frac{c}{Sin 16^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\c*sin143=60*sin16\\c=60*sin16\div sin143\\c=27.48 miles$

Difference in Distance =35.73-27.48=8.25 miles

Therefore, the northern lighthouse is 8.2 miles closer than the southern lighthouse.

8 0

3 years ago

Stephanie is 62 inches tall. Her brother is t inches shorter than she is.

Law Incorporation [45]

Answer: 62 - T

Step-by-step explanation:

I think it is 62 - T because Stephanie is 62 inches and it says that her brother is shorter which I believe it means that you have to subtract.

7 0

3 years ago

WHATS THE MEASURE OF THE ANGLE INDICATED?<br> GEOMETRY/PLS HELP/GOD BLESS

ch4aika [34]

Answer:

∠SQR = 1/2 m ∠SR = 1/2 x 86 = 43°

5 0

3 years ago

On a coordinate plane the location of 3 points are (0,6) (5,-4) and (-1,-5) where would the fourth point need to be located in o

REY [17]

Answer:

(9.2)

Step-by-step explanation:

idkc

5 0

3 years ago

the length of an arc of a circle is 269⁢πcentimeters and the measure of the corresponding central angle is 65∘. what is the leng

scZoUnD [109]

The length of the circle's radius = 744.92 cm

Given the length of arc of a circle, arc length = 269⁢π cm

Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.

The corresponding central angle = 65°

To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians

We have, arc length of a circle = radius x central angle

Therefore, radius of the circle = arc length / central angle

= 269⁢π /(13π/36)

= 744.92 cm

Learn more about arc length of a circle at brainly.com/question/28108430

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6 0

2 years ago