Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.

Given The Triangle Below And The Equation: Sin A = 3/5.Determine The Value Of B.

Answers

Answer 1

Using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.

Recall:

The trigonometry ratio is used in solving a right triangle, having, hypotenuse, adjacent, and the opposite side, given a reference angle.Trigonometry ratios are: SOH CAH TOAPythagorean Theorem is given as: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse).

Given the trigonometry ratio of sin A = 3/5

Recall that, sin ∅ = opp/hyp (SOH)

Thus, this means that, in sin A = 3/5,

A = ∅3 = opposite side, which corresponds to a in the given triangle.5 = hypotenuse, which corresponds to c in the given triangle.b is therefore the adjacent side

Thus, find the value of b by applying the Pythagorean theorem.

[tex]b = \sqrt{c^2 - a^2}[/tex] (Pythagorean Theorem)

Substitute

[tex]b = \sqrt{5^2 - 3^2}\\\\\mathbf{b = 4}[/tex]

Therefore, using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.

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Related Questions

A group of adults and kids went to see a movie. Tickets cost $8 each for adults and $5 each for kids. The group paid $59 in total. There were 10 people in the group.
Find the number of adults and kids in the group.



A
2 adults and 8 kids
B
3 adults and 7 kids
C
4 adults and 6 kids
D
5 adults and 5 kids

Answers

The answer is Letter B.
Answer:
(B) 3 Adults and 7 Kids
Explanation:
The first thing we have to do is define variables:
X = adult
Y = kids
Next we will create equations for the information given:
8X + 5Y = 59
X + Y = 10
So to determine the answer we must combine the equations.
X = 10 - Y
8(10 - Y) + 5Y = 59
Distribute the 8
80 -8Y + 5Y = 59
Move the 80 to the other side and combined like terms
-3Y = -21
Divide by -3
Y = 7
Plug Y into an original equation
X + 7 = 10
Subtract 7
X = 3
Double check by plugging both variables into the other original equation
8(3) + 5(7) = 59
24 + 35 = 59
59 = 59
Therefore, there are 3 adults and 7 kids. (B)

How to find maxima and minima without derivatives.

Answers

Answer:

Finding out the relative maxima and minima for a function can be done by observing the graph of that function

A former Olympic platform diver had a kinetic energy of 12,300 J prior to hitting the surface. If the divers speed is 17 m/s, what is their mass?

Answers

Answer:

Step-by-step explanation:

How to find the equation of a line.

Answers

Answer:

Step-by-step explanation:

1. Identify the slope.

2. Identify the point.

3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

4. Write the equation in slope-intercept form.

Callum says that every number is greater than its opposite. Do you agree?

Answers

Answer:

I disagree with Callum because the opposite of -1 is 1 and a positive number is greater than a negative number. If Callum wants to be right then he has to say every positive number is greater than its opposite in order to be true.

Step-by-step explanation:

A mountain climber started at zero elevation. The first day he hiked 10 miles up
the mountain, the second day it got steeper and only hiked 3 miles, the third day he
had to detour and went down 4 miles and the last day he went up 1 mile. How far
did he get up the mountain?

Answers

Answer:

14 miles if that's how far he went up

17miles if you're calculating his distance covered

The distance he hiked up the mountain is 10 miles.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a mountain climber started at zero elevation. On the first day he hiked 10 miles up the mountain, on the second day it got steeper, and only hiked 3 miles, On the third day he had to detour and went down 4 miles, and on the last day, he went up 1 mile.

The total elevation will be calculated as below:-

Elevation  = 10 + 3 + 1 - 4

Elevation = 14 - 4

Elevation = 10 Miles

Therefore, the distance he hiked up the mountain is 10 miles.

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7x+20=7x+20
help asap
step by step please

Answers

Answer:

The given equation is true for all x.

Step-by-step explanation:

Graph the line x = -6 on the axes delta math

Answers

Answer:

Draw a vertical line on a graph, with the x-axis at -6

this line should be parallel to the y-axis, but shift to the left 6 units.

Step-by-step explanation:

PLEASE HELP WITH STEPS 25 POINTS!!!!

Answers

Answer:

[tex]1.75+0.25log_{10}a[/tex]

Step-by-step explanation:

Given:

[tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]

Simplify:

[tex]x =\sqrt[4]{10^210a} /0.1[/tex][tex]x =10\sqrt[4]{10^3a}[/tex][tex]x=10^{1+3/4}a^{1/4}[/tex][tex]x=10^{1.75}a^{0.25}[/tex]

log both sides:

[tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex][tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex][tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]

Timmy is 6 feet tall and casts a 10-foot shadow. Nikki casts a 9-foot shadow. How tall is Nikki?

Answers

Answer:

5.4 im pretty sure

Step-by-step explanation:

HELP ME!! Move the terms to their corresponding categories. Either Domain or Range.

Answers

Step-by-step explanation and answer:

To understand this problem, you must first understand the definition of domain and range. Domain is all possible x values (possible input), and range is all possible y values (possible output). Based on this, we can now sort the terms as the following:

Domain

Independent variableInput valueX-value

Range

Dependent variableY-valueOutput value

Hope this helps!!

does anyone know how to solve this

Answers

Answer:

46

240

Step-by-step explanation:

Substitute the given values for the variables, and evaluate the expressions.

1.

n = -5; m = 4

2n² - m = 2(-5)² - 4 = 2(25) - 4 = 50 - 4 = 46

2.

H = 60; Q = 40; V = 10

HQV/100 = (60)(40)(10)/100 = 6(4)(10) = 240

Answer:

46

240

Step-by-step explanation:

1) Put n = -5 and m = 4 into the equation, you'll then have;

2(-5)²-4

2(25)-4

50-4=46

2) Put H=60, Q=40 and V=10 into the equation, then you'll have that;

(60×40×10)/100

24000/100

=240

A trail mix recipe includes granola, oats, and almonds. There are
135 Calories in a __
1
4-cup serving of the trail mix. How many Calories

are in 2 cups of trail mix?
what is the answer plz ?

Answers

Answer:

1080

Step-by-step explanation:

in 135 calories there is 1/4 cup

? there is 2 cup

135×2=270 ÷1/4

270×4=1080 cups of trail mix

help me pls I need help​

Answers

Answer:

parallel lines are two lines drawn next to each other without a intersection

A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts. What is the equation and slope.

Answers

The equation is y = 0.5x and the slope is 0.5.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the tomato after x weeks. Let us assume that the points are (0, 0) and (6, 3), hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{3-0}{6-0} (x-0)\\\\y=0.5x[/tex]

Therefore the equation is y = 0.5x and the slope is 0.5.

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The equation for the scenario "A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts" is y = mx + c

The slope = m

The duration after which the farmer measures the average height of her tomato = x weeks

The average height of the tomato plant after x weeks = y

For the slope to be required, it means the relationship between the average height of the her tomato (y) and the number of weeks (x) is linear

This means that the average height of the tomato will be represented by a linear equation as shown below

y  =  mx   +  c

The slope of the equation is m

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Someone plz help me :(

Answers

Answer:

The answer is a

Step-by-step explanation:

Like and give 5 star rating

Answer:

8/3 miles over 8miles

8 mi/3 hrs = 8/3 mi/hr = 2.66666.

QUICK PLEASE HELP WHAT IS THE ANSWER TO THIS QUESTION I NEED HELP: Jennifer earned $75.00 babysitting. She went shopping and bought a shirt for $18.50, a skirt for $22.95, and 3 pairs of socks for $4.75 each. She paid a 7% sales tax on all of the items she bought. How much money did Jennifer have left?

Answers

Answer:

15 dollars and 40 cents

Step-by-step explanation:

you add the shirt cost to the skirt cost to 3 times the sock cost

After that, you multiply that by 1.07 for the sales tax

then you take 75(her money) and subtract it from your previous answer to get how much she has left

30 - 6 (x + 3) + 2x = 8

Answers

Answer:

I believe the correct answer would be the first X=1 and the second X=1

Basically they both equal 1

Answer:

X=1

Step-by-step explanation:

the locus of all points that are the same distance from (3,-2) and (3,4) is one straight line. Draw this straight line

Answers

Answer:

No answer i can provide

Step-by-step explanation:

If you need to make a line on a graph, you need to plot at least 2 points. Luckily, the two points have been given.

Plot the points on your graph. for your first coordinate, go 3 over and down 2. for your second point, go over 3 and up by 4. for the line, draw it through your 2 points.

Hope this helps!

Answer:

line is y = 1

Step-by-step explanation:

the question is talking about loci, in this case 2 point

these 2 points are (3,-2) and (3,4)

draw a line to connect these to points and bisect the line.

to do this use a compass : put the compass more than half way and place it one the first point - draw an arc .

then draw another arc at the sencond point

were the 2 arcs meet draw a line - this straight line will be the answer.

y = 1

What is a negative z score and when would it be in your favor to have one?

Answers

Answer:

A positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.

Step-by-step explanation:

Examples: Calculating a Z-Score

Suppose we have the following dataset that shows the height (in inches) of a certain group of plants:

5, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20

The sample mean of this dataset is 13 and the sample standard deviation is 5.51.

1. Find the z-score for the value “8” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (8 – 13) / 5.51  =  -0.91

This means that the value “8” is 0.91 standard deviations below the mean.

2. Find the z-score for the value “13” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (13 – 13) / 5.46  =  0

This means that the value “13” is exactly equal to the mean.

3. Find the z-score for the value “20” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (20 – 13) / 5.46  =  1.28

The negative z-score indicates that a particular value will be less than the mean.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The points regarding the z-score are as follows:

A positive z-score shows that a specific worth is more prominent than the mean.A negative z-score demonstrates that a specific worth is not exactly the mean.A z-score of zero shows that a specific worth is equivalent to the mean.

The negative z-score indicates that a particular value will be less than the mean.

More about the normal distribution link is given below.

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I need help! Show all the work, step by step.​

Answers

Answer:

z = [tex]\frac{4x}{3y}[/tex]

Step-by-step explanation:

x = [tex]\frac{3yz}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

4x = 3yz ( isolate z by dividing both sides by 3y )

[tex]\frac{4x}{3y}[/tex] = z

Lesson Check (4.NBT.B.6
1. To divide 572 = 4, Stanley estimated to place
the first digit of the whole-number quotient.
In which place is the first digit of the whole-
number quotient?

Answers

The first digit of the whole- number quotient will be in the hundred place.

To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;

Round up 572 to 1 significant figure. The value expressed as one significant figure is 600.

Since the divisor is a unit value, we will not be rounding it up.

Take the quotient of 600 and 4.

[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]

From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)

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Consider the expression 8ab +3b + 16 - 4a ·How many terms are there ? ·How many factors are in the term (identify them ) · Which term is a constant ?

Answers

Answer:

the answers are below

Step-by-step explanation:

1: 4

2: 3 and they are 8ab, 3b, and 4a

3: 16

Answer:

8 a b - 4 a + 3 b + 16. Simplify: 8 a b - 4 a + 3 b + 16 Answer: 8 a b - 4 a + 3 b + 16

Step-by-step explanation: Coefficient is any of the factors with the sign of the term. ... The given algebraic expression has three terms, namely, 4a 4b2c – 3a3b2c and 3/2 ab3c2

Calculate the distance between the points H= (0, 2) and E = (3, -6) in the coordinate plane.

Answers

Answer:

The answers is root 73.

Process is shown in the picture.

Round 4.01 to the nearest one decimal place.

Answers

The answer should be 4.00

I’m a poll, 100 people were asked to indicate if they prefer to drive a truck or car and their gender. Based on the table, which of the following statements is NOT true?

Answers

Answer:

B) men are less likely to prefer driving trucks than women

Step-by-step explanation:

“a fraction f multiplied by 13 equals 29.

Answers

Answer:

29/13

Step-by-step explanation:

The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.

Find the perimeter. Simplify your answer.

Answers

Answer:

8v + 4

Step-by-step explanation:

Perimeter = 3v + 2 + 3v + 2 + 2v + 8v + 4

= 8v + 4...ans

Hope it Helps you!!

help me with this please!?!?!?!?!

Answers

Answer:

17/4

Step-by-step explanation:

add the fractions

what is the least common factor for 1,000 and 150

Answers

Answer:

least common multiple: 1000

greatest common factor is 50

least common factor would be 1, but that isn't really a common thing to calculate

Step-by-step explanation:

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