All categories

3 years ago

-4+3b^2=143 Simplest radical form

Mathematics

1 answer:

Karolina [17]3 years ago

3 0

Answer:

$- 4 + 3b {}^{2 } = 143 \\ 3b {}^{2} = 143 + 4 \\ 3b {}^{2} = 147 \\ b {}^{2} = \frac{147}{3} \\ b {}^{2} = 49 \\ b = 7$

You might be interested in

53.1 L =___ mL What is the answer to this?

Sveta_85 [38]

1 liter = 1000 ml
53.1 liter = 53.1*1000 = 53100

Hope this helps :)

6 0

3 years ago

Read 2 more answers

David and Lacey are 2000 feet apart on a coastline. They each look at the same boat in the water. The angle between the coastlin

Ulleksa [173]

By using the given distances and directions, we have;

Part A: 1083.5 feet

Part B: 1921.37 feet

Part C: 58.05°

<h3>How can the distances and directions be calculated?</h3>

The distance between David and Lacey = 2000 feet

David's angle to the boat = 70°

Lacey's angle to the boat = 32°

Part A

The distance of the boat from David is found as follows;

Imaginary lines drawn from the boat to David and then to Lacey form a triangle.

In the triangle, let A = 70°

B = 32°

Therefore by the sum of angles in a triangle, we have;

C = 180° - (70° + 32°) = 78°

By using sine rule we have;

$\frac{a}{sin(A)} = \frac{b}{sin( B )} = \frac{c}{sin(C)}$

David's distance from the boat, b, is therefore;

$\frac{b}{sin( 32 )} = \frac{2000}{sin(78)}$

The angle subtended by the coastline, C, is therefore;

$b = \frac{2000}{sin(78)} \times sin( 32 ) = 1083.5$

David's distance from the boat is 1083.5 feet

Part B

The distance between the boat and Lacey is found as follows;

$\mathbf{ \frac{a}{sin( 70)} }= \frac{2000}{sin(78)}$

$a = \frac{2000}{sin(78)} \times sin( 70 ) = 1921.37$

Lacey's distance from the boat is 1921.37 feet

Part C

When b = 1200 feet, we have;

Finding the vertical distance of the boat from the coastline, we have;

1083.5 × sin(70) = 1018.17

We have;

$\frac{1200}{sin(90)} = \frac{1018.17}{sin( B' )}$

${sin( B' )} = \frac{sin(90)}{1200} \times 1018.17$

The angle between the coastline and his view to the boat, B', is therefore;

B' = arcsine (1018.17÷1200) = 58.05°

Learn more about sine rule here:

brainly.com/question/4372174

#SPJ1

4 0

2 years ago

290 is 10 times as much as?

katrin2010 [14]

I'm pretty sure it's 29 . . . A way to remember is that when you multiply a number by ten, add a zero. For example, 34 x 10 is 340. Just add the zero!

3 0

4 years ago

A light aircraft travels 5 miles per hour less than twice the speed of a bus. If the bus can travel 114 miles in the same time i

Rufina [12.5K]

A represents the speed of the aircraft.
b represents the speed of the bus.

a=2b-5
114/b=218/a

Substitution method

114/b=218/(2b-5)

(2b-5)*(114/b)= 218

(228b-570)/b = 218

228b-570= 218b

228b-218b=570

10b= 570

b=57

Plug the value of b into one of the original equations.

a=2(57)-5
a=114-5
a=109

Final answer:
Average speed of plane= 109
Average speed of bus= 57

3 0

3 years ago

???????????????????????????????

mrs_skeptik [129]

Answer:

i think its A

Step-by-step explanation:

you add all the numbers up together and dvide by how many numbers there are. thats what i did and got 6

8 0

3 years ago