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igomit [66]
2 years ago
12

Use the Law of Sines to solve the triangle. Round your answers to two decimal places.

Mathematics
1 answer:
mario62 [17]2 years ago
8 0

Answer:

Step-by-step explanation:

The Law of Sines is

\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}

Filling in what we are given:

\frac{sin(110.8)}{25.3}=\frac{sin(18.2)}{c}

Cross multiply to get

csin(110.8)=25.3sin(18.2) and divide to solve for side c:

c=\frac{25.3sin(18.2)}{sin(110.8)} which gives you that

c = 8.45

We know that angle B has to be the difference between 180  and angle A and angle C, so

angle B = 51

Now we can solve for side b:

\frac{sin(110.8)}{25.3}=\frac{sin(51)}{b} and

b=\frac{25.3sin(51)}{sin(110.8)} and

b = 21.03

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Is 301 in the sequence below?<br> -9, -5,-1,3,7,...
dusya [7]

Answer:

no

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

a_{n} = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

3 0
2 years ago
What is the length of the unknown side?
mestny [16]

Answer:

use Pythagoras theorem

✓12x12+16x16

✓400

20

3 0
2 years ago
Read 2 more answers
I need help i only have 5 min left
kirza4 [7]

Answer:

find the slope then use this y-y1=m(x-x1)

Step-by-step explanation:

6 0
3 years ago
Use the information provided to calculate the different parts of the proposal: The lazy river is basically a large circle that w
Step2247 [10]

Answer:

10,995.6 ft^3.

2300.3 gallons.

(both to the nearest tenth).

Step-by-step explanation:

Area of the surface of the river =  area of the  outer circle - area of the inner circle.

Radius of the outer circle  = 30 *3 = 90 feet.

So the surface area of the river = π(90)^2 - π(85)^2

= 875π ft^2

Also the volume of the river = surface area * depth = 875π*4 = 3500π ft^3

= 10,995.6 ft^3.

Number of gallons of water it will hold = 10,995.6 /  4.78

= 2300.3 gallons.

4 0
3 years ago
If a car dealership buy as car for $9000, and wants to make a 45% profit, how much do they need to sell the car for? ​
Degger [83]

Answer:

A car dealership needs $13050 to sell the car to earn the 45% profit if a car dealership buys a car for $9000.

Step-by-step explanation:

Car cost = $9000

Profit percentage = 45% profit

Thus,

Profit amount = 45% of 9000

                       = 45/100 × 9000

                       = 0.45 × 9000

                       = $4050

In order to determine how much a car dealership needs to sell the car to earn the 45% profit, all we need is to add the profit amount i.e. $4050, and the car cost i.e. $9000.

i.e.

Car cost + Profit amount = $9000 + $4050

                                         = $13050

Therefore, a car dealership needs $13050 to sell the car to earn the 45% profit if a car dealership buys s car for $9000.

6 0
2 years ago
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