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2 years ago

Please help me solve numbers 4, 5, and 6 with some type of explanation as to how you got that answer.

Mathematics

1 answer:

Mila [183]2 years ago

6 0

Answer:

4.R=16

D=16+16=32

$\pi \times d$

C=32π

then do the same thing for other problem

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Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago

1/3 times what equals 1?

Mama L [17]

Answer:

Step-by-step explanation:

1/3 + 1/3 + 1/3 = 3/3 = 1 whole.

1/3 x 3 = 1

Hope this helps!

5 0

1 year ago

In a city the distance between the libary and the police station is 3 miles less than than the distance between the police stati

Mademuasel [1]

Answer:

8 miles

Step-by-step explanation:

Given

Represent the police station with P, Library with L; Fire station with F

The first statement can be represented as:

$L - P = P - F - 3$

The second can be represented as:

$L - P = 5$

Required

Determine the distance between the police station and the fire station (P - F)

$L - P = P - F - 3$ --- (1)

$L - P = 5$ --- (2)

Substitute 5 for L - P in (1)

$5 = P - F - 3$

Add 3 to both sides

$3 +5 = P - F - 3 + 3$

$3 +5 = P - F$

$8= P - F$

$P - F = 8$

5 0

2 years ago

Mel Needs to park his car for eight hours. Spikes parking place charges five dollars per hour for the first three hours and thre

Dima020 [189]

Answer:

Spike's Parking
$5 less

Step-by-step explanation:

After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...

s(h) = 6h -3

For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars

After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...

m(h) = 8h -14

For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars

For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.

6 0

2 years ago

On the way home from school, Ross wears his 20-pound backpack and carries his 7-ounce lunchbox. How many ounces does he carry in

Angelina_Jolie [31]

Answer:327

Step-by-step explanation:

20 pounds is 320 ounces and the lunch box plus that is 327 ounces

8 0

3 years ago