All categories

3 years ago

Solve the following triangle for all missing sides and angles.

Mathematics

1 answer:

AlekseyPX3 years ago

5 0

Answer:

Part 1: 100

Part 2: 29.19 (Rounded)

Part 3: 20.96 (Rounded)

Step-by-step explanation:

Part 1: Triangle Sum Theorem (All angles of a triangle add up to 180 degrees)

45 + 35 + A = 180

80 + A = 180

Move the constant to the other side

80 + A = 180

-80 -80

A = 80°

Part 2: Law of sines

$\frac{a}{sin(100)} = \frac{17}{sin(35)}$

Cross multiplication

sin(35)a = 16.7417318

Divide both sides by sin(35)

a = 29.18831866

Part 3: Law of cosines

$b=29.19^{2}+17^{2}-2*29.19*17*cos(45)$ = 439.2809039

Square root the answer

$\sqrt{439.2809039}$ =20.95902917

You might be interested in

What is the first step in solving this equation? 3(2x+6)-4x 2(5x- 2) +6 Use the subtraction property of equality to subtract 6 f

LekaFEV [45]

Answer:

Use the distributive property on each side of the equation.

Explanation:

PEMDAS

5 0

3 years ago

What is one intothirds -4/5

Sphinxa [80]

Answer: 13/15

Step-by-step explanation:

1 2/3 - 4/5

Use LCD or least common denominator:

1 10/15 - 12/15 =

25/15 - 12/15 =

13/15

7 0

4 years ago

You have been doing research for your statistics class on the prevalence of severe binge drinking among teens. You have decided

Serggg [28]

Answer:

(1.218 ; 1.322)

the confidence interval is appropriate

Step-by-step explanation:

The confidence interval :

Mean ± margin of error

Sample mean = 1.27

Sample standard deviation, s = 0.80

Sample size, n = 914

Since we are using tbe sample standard deviation, we use the T table ;

Margin of Error = Tcritical * s/√n

Tcritical at 95% ; df = 914 - 1 = 913

Tcritical(0.05, 913) = 1.96

Margin of Error = 1.96 * 0.80/√914 = 0.05186

Mean ± margin of error

1.27 ± 0.05186

Lower boundary = 1.27 - 0.05186 = 1.218

Upper boundary = 1.27 + 0.05186 = 1.322

(1.218 ; 1.322)

According to the central limit theorem, sample means will approach a normal distribution as the sample size increases. Hence, the confidence interval is valid, the sample size of 914 gave a critical value at 0.05 which is only marginally different from that will obtained using a normal distribution table. Hence, the confidence interval is appropriate

8 0

3 years ago

URGERNT HELP PLEASE!!?

timofeeve [1]

Four order pairs are ( 2, 5 ), ( 4, 8 ), ( 6, 11 ), ( 0, 2). All those I cited are whole numbers so that should help plot them, and from there get a ruler or straight edge and align all the dots to create the line for the equation. The equation you gave was the standard form which was created out of the formula to find a equation it's y = mx + b, there could be small variations made. How I know it's proportional is because all linear equations are. But if that's not enough I also know since there's a ratio or pattern that it follows and doesn't stray from. In more depth, porportional relationship is a ratio between y and x which is the same thing everytime shown if simplified.

7 0

3 years ago

Passo a passo a conta 2+x=7

Jlenok [28]

2+x=7 x=5 eso es todo

7-2=x

7-z=2

7 0

3 years ago