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3 years ago

Find all solutions for a triangle with C=17deg, a=10, c=11. Round to the nearest tenth

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

5 0

Answer: Angle A = 15.42°, angle B = 147.58°, and side b = 20.17 units.

Step-by-step explanation: Please refer to the attached diagram for details.

A triangle with angles ABC has been sketched from the information given, and we have the missing dimensions as, angles A and B and side b. Since we have an angle with a corresponding side, and another side has been given, we shall apply the Sine Rule which states that;

a/SinA = b/SinB = c/SinC

We can start with the known values as follows

a/SinA = c/SinC

10/SinA = 11/Sin 17

By cross multiplication we now have

(10 x Sin 17)/11 = SinA

(10 x 0.2924)/11 = SinA

2.924/11 = SinA

0.2658 = SinA

By use of calculator or a table of values,

A = 15.42°

Having calculated angle A as 15.42 and having known angle C as 17, angle B can be derived as,

A + B + C = 180° {Sum of angles in a triangle equals 180}

15.42 + B + 17 = 180

32.42 + B = 180

Subtract 32.42 from both sides of the equation

B = 147.58°

And now to calculate the missing side c, we still apply the Sine Rule

b/SinB = c/SinC

b = (c x SinB)/SinC

b = (11 x 0.5361)/0.2924

b = 5.8971/0.2924

b = 20.168

Approximately, b = 20.17

Therefore, the missing angles and side is calculated as

Angle A = 15.42°, angle B = 147.58° and length of side b = 20.17 units

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zalisa [80]

Answer:

The answer would be c

Step-by-step explanation:

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3 years ago

Decomponha os seguintes números a) 1.585 = b) 1.059= c) 2.440 d) 5.329 e) 8.801 f) 9.999 g) 3.718 h) 6.840 i) 7.504 j) 5.225 1)

vlada-n [284]

Answer:

a) 1.585 =1.0 + 0.5+ 0.08+0.005

b) 1.059= 1 .0+ 0.0+ 0.05+0.009

c) 2.440 = 2.0 + 0.4+ 0.04

d) 5.329= 5.0 + 0.3+ 0.02+0.009

e) 8.801 = 8.0 + 0.8+ 0.00+0.001

f) 9.999= 9.0 + 0.9+ 0.09+0.009

g) 3.718 = 3.0 + 0.7+ 0.01+0.008

h) 6.840= 6.0 + 0.8+ 0.04

i) 7.504 = 7.0 + 0.5 +0.004

j) 5.225 = 5.0 + 0.2+ 0.02+0.005

1) 4.063 = 4.0 + 0.0+ 0.06+0.003= 4+0.06+0.003

m) 2.597= 2 .0+ 0.5+ 0.09+0.007

Step-by-step explanation:

A medida que nos alejamos del punto decimal, el número de ceros aumenta y el dígito se mueve hacia la derecha.

Los valores después del decimal se denominan décimas, centésimas y milésimas.

a) 1.585 =1.0 + 0.5+ 0.08+0.005

b) 1.059= 1 .0+ 0.0+ 0.05+0.009

c) 2.440 = 2.0 + 0.4+ 0.04

d) 5.329= 5.0 + 0.3+ 0.02+0.009

e) 8.801 = 8.0 + 0.8+ 0.00+0.001

f) 9.999= 9.0 + 0.9+ 0.09+0.009

g) 3.718 = 3.0 + 0.7+ 0.01+0.008

h) 6.840= 6.0 + 0.8+ 0.04

i) 7.504 = 7.0 + 0.5 +0.004

j) 5.225 = 5.0 + 0.2+ 0.02+0.005

1) 4.063 = 4.0 + 0.0+ 0.06+0.003= 4+0.06+0.003

m) 2.597= 2 .0+ 0.5+ 0.09+0.007

The values after the decimal are called tenths hundredths and thousandths

6 0

3 years ago

The quadratic x^2+440x+440^2 can be written in the form (x+b)^2+c, where b and c are constants. What is c/b?

Sauron [17]

This form (x+b)²+c is a vertex form that can be found by completing square for the equation x²+440x+440².

To complete square we will need to use formula a² +2ab + b² = (a+b)²

 x²+440x+440²,
x² +2*220²x +220² -220² +440² (we added 220² -220², so nothing really changed here).

x² +2*220²x +220² -220² +440² ( here , bold part can be rewritten as (x+220)²)

(x+220)² -220² +440² (calculating bold part)

(x+220)² -220² +440² = (x+220)² + 145200

Now we have x²+440x+440², in the form that we need
x²+440x+440² = (x+220)² + 145200

(x+b)²+c = (x+220)² + 145200,
b=220,
c= 145200

So,
c/b = 145200/220 = 660
c/b = 660/1 (if you need it in a fraction form) or 660.

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