In triangle ABC, angle A = 74°, a = 126, and b = 84. Find angle B.A. 39.9°
B. 79.4°
C. 80.8°
D. impossible to tell

Answers

Answer 1

Answer: Triangle ABC
Angle A = 74°
a = 126
b = 84
Use the sine rule
$(a)/(sin A) = (b)/(sin B)$
Plug in the given
$(126)/(sin(74)) = (84)/(sin(B))$
Cross multiply
126 × sin(B) = 84 × sin(74)
Divide by 126
$(126sin(B))/(126) = (84sin(74))/(126)$
126 and 126 cancels out
sin(B) = $(84sin(74))/(126)$
take sin inverse ( $sin^(-1)$ )
B = $sin^(-1)$ ( $(84sin(74))/(126)$ )
B = 39.85° = 39.9°

Answer 2

Answer:

Answer:

Currently doing the test and got A. 39.9°.

The full process is explained above. This is a confirmation that the other person is correct.

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Multiplying a number by which of the following would result in a smallest number? 10^-1 10^0 10^1 10^2

Answers

Answer:

To obtained the smallest number multiply the number with $(10)^(-1)$ .

Step-by-step explanation:

Given : $(10)^(-1),\ (10)^0,\ (10)^1,\ (10)^2$

We have to find when we multiply any number with the given number which number will give the smallest value.

Consider the given numbers,

$(10)^(-1),\ (10)^0,\ (10)^1,\ (10)^2$

We find the values of each number one by one,

1) consider $(10)^(-1)$ , using property of exponents $a^(-m)=(1)/(a^m)$ , we have

$(10)^(-1)=(1)/(10)=0.1$

2) $(10)^0$ we know any thing to power 0 is always 1.

$(10)^0=1$

3) $(10)^1$ is same as itself that is 10.

4) $(10)^2$ is $(10)* 10=100$

Thus, To obtained the smallest number multiply the number with $(10)^(-1)$ .

10^-1 would be the smallest answer...

10^-1= .1
10^0= 1
10^1= 10
10^2= 100

Which of the following equations represent the Pythagorean theorem?A. c =
$\sqrt{ {a}^(2) } + {b}^(2)$
B. m =
$(y2 - y1)/(x2 - x1)$
C. c= a+b
D. ab=ba

Answers

There's no equation represent the pythagorean theorem in the options. The option A is closed to pythagorean theorem, except the b² should be under root.

Pythagorean Theorem is supposed to be like this
$c= \sqrt{a^(2)+b^(2)}$

Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations.|x + 5| = 55

Answers

$|x+5|=55\n\nx+5=55\ \vee\ x+5=-55\n\nx=55-5\ \vee\ x=-55-5\n\nx=50\ \vee\ x=-60$

Find the -intercept and -intercept of the line.3x-7y=-21

x-intercept
y-intercept

Answers

x intercept (- 7,0)

y intercept (0,3)

What is 35 percent of 70

Answers

35 Percent of 70 is 24.5
We assume, that the number 70 is 100% - because it's the output value of the task. We assume, that x is the value we are looking for. If 70 is 100%, so we can write it down as 70=100%. We know, that x is 35% of the output value, so we can write it down as x=35%. Now we have two simple equations: 1.)70=100% 2.)x=35%where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that: 70/x=100%/35% Now we just have to solve the simple equation, and we will get the solution we are looking for.

To me, the best thing to do first is translate the question into math,
so that you can work with it.

-- "What" means "x "

-- "is" means " = "·

-- "percent" means " /100"

-- "of" means "times"

Translated into math, the question says:

      x = 35/100 · 70

Clean up the right side of the equation and simplify it:

   x = (35 · 70) / 100

   x = 2450 / 100

   x = 24.5

Two minutes after a diver enters the water, he has descended 52 feet After 5 minutes, he has descended 130 feet At what rate is the scuba diver descending

Answers

Answer:

26ft/minute

Step-by-step explanation:

The question asks to calculate the rate at with a scuba diver is descending.

Firstly, we should know that the rate at which the scuba diver is descending is calculated as the total amount of distance descended, divided by the total amount of time taken.

The total amount of distance descended is 52ft + 130ft = 182ft

The total amount of time taken is 5 + 2= 7 minutes

The rate of descending is thus 182ft/7min = 26ft/minute

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