use pythagoras theorem to find the missing side, then find the an angle using the sine rule. at this point you will only have one angle left. using the law that sum of all angles of a triangle add up to 180⁰, you can do 180⁰- ( [the angle you found by the sine rule] + 90⁰) hope this wasn't too complicated :)
i did (b) as an example attatched (2 photos bc it couldn't fit it all)
HELP PLEASE ILL MAKE YOU THE BRAINIEST What is the area of the regular polygon?
Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².
How to calculate the area of a regular polygon?Mathematically, the area of a regular polygon can be calculated by using this formula:
Area = (n × s × a)/2
Where:
n is the number of sides.s is the side length.a is the apothem.Note: The apothem of a regular polygon is half the length of one side.
Therefore, Length = 2 × 2 = 4 meter.
Substituting the parameters into the formula, we have;
Area = (6 × 4 × 2)/2
Area = 48/2
Area = 24 m².
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4.
In the diagram of AABC below, DE || BC,
AD= 3, DB=2, and DE = 6.m
6
E
2
B
What is the length of BC?
1) 12
2) 10
3) 8
4) 4
C
What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
0162 √3
0162
081 √6
018 √3
The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.
What is a Rhombus ?A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.
Let x be the half of the other diagonal.
tan 60 = x / 9
x = 9 tan 60
x = 9√3
Area of the Rhombus = (d1 * d2 /2 )
d1 and d2 are the length of the diagonal.
Area of the Rhombus = (9*2)(2 *9√3)/2
Area of the Rhombus =162√3 sq.unit
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Sonya's heart rate was 76 beats per minute.
She ran a mile on her treadmill and checked
her heart rate again. This time, her heart rate
was 133 beats per minute. What was the
percent increase in Sonya's heart rate?
Answer:
75 percent
Step-by-step explanation:
To find percent increase, do (final-initial/initial) * 100.
This would be 133-76/76 * 100, meaning you get a 75 percent increase.
The percent increase is 75 %.
What is Percent increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
Sonya's heart rate was 76 beats per minute.
After running, heart beat rate= 133 beats per minute.
So, percent increase
= (133- 76)/ 76 x 100
= 0.75 x 100
= 75%
Hence, the percent increase is 75 %.
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guys help just with part b for number 2!
Answer:
22 8th graders
Step-by-step explanation:
if 25% of the 88 kids are 8th graders then do this.
88x.25=22
88x.75=66
there are 22 eighth graders
and 66 seventh graders.
I'm confused I got an answer but got it wrong help please.
Answer:
[tex]y = \frac{2}{3}x -6[/tex]
Step-by-step explanation:
I'm just gonna assume you want the equation of the line
Standard slope-intercept form is [tex]y=mx+b[/tex] with [tex]m[/tex] being the slope [tex]\frac{rise}{run}[/tex] (aka [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]) and [tex]b[/tex] being the y-intercept (the point where the line crosses the y-axis)
First we will find the slope using the 2 points on the line.
[tex]\frac{-2 - (-4)}{6-3} = \frac{2}{3}[/tex]
This means our slope ([tex]m[/tex]) is [tex]\frac{2}{3}[/tex].
Next we can find our y-intercept. The line crosses the y-axis at [tex](0, -6)[/tex] meaning the y-intercept ([tex]b[/tex]) is -6.
Finally we can plug in our values and find the equation of the line.
[tex]y = \frac{2}{3}x -6[/tex]
That might be the answer (i don't know the question)
- Kan Academy Advance
PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?
Answer:
46.272 or 46 34
125
Explains :
Let see :
Based on the given conditions, formulate: 16×14.46÷5
Calculate the product or quotient:231.36
5
Convert decimal to fraction:23136
100
5
Divide a fraction by multiplying its reciprocal:23136 × 1
100 5
Write as a single fraction:23136
100×5
Cross out the common factor:5784
25×5
Calculate the product or quotient:5784
5784 125
get the result: 46.272 or 46 34
125
Answer: 46.272 or 46 34
125
Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing department. In her new position, she will be paid an annual salary of $30,534. How much more will she earn per week in her new position
Answer:
$ 65.59 more per week
Step-by-step explanation:
Assuming she worked 52 weeks a year as a clerk :
30534 - 52 * 521.6 = $ 3410.80 more per year
now each WEEK that is 3410.80 / 52 = 65.59
pls help me pls it's my homework
Answer:
i think its just water bro
Can someone help me?
Answer:
It's the third one hun :>
Answer:
yup third one
Step-by-step explanation:
parabolas are ALWAYS a U shape ;-)
Sequence A: 4;9;16;25;36; ... ; ...
a) write the next two numbers
b) describe how sequence A is being formed
Answer:
49,64
Step-by-step explanation:
Every time the number changes there is an addition of two. for instance, from 4 to 9 the was an addition of 5 and from 9 to 16 there was an addition of 7. Thats how it works
Which graph represents the function f(x))=2•(1/3)^xm
Answer: the on to the bottom left
Step-by-step explanation: c would be right because you have a positive slope
find m ab in the figure below a90 b108 c72 d162
IM IN NEED OF HELP ASAP!!
Answer:
B. [tex]\frac{14}{625}[/tex]
Step-by-step explanation:
Total paper in the hat:
2 blue + 6 red + 10 yellow + 7 purple = 25 total pieces of paper
P(AB) = 7 / 25 x 2 / 25
A is the probability of pulling a purple paper
B is the probability of pulling a blue paper
Answer:
14/625
Step-by-step explanation:
probability = favorable outcomes/total number of outcomes
First find the probability of drawing a purple piece of paper.
There are 7 pieces of purple paper.
Add all the amounts of colored paper together to get the total number of outcomes.
2 + 6 + 10 + 7 = 25
The probability of drawing purple is 7/25
Now find the probability of drawing blue. There are 2 blue pieces of paper. Since he replaces the purple paper the total stays at 25.
The probability of drawing blue is 2/25
This is a compound probability problem, so multiply the two probabilities together.
7/25 x 2/25
14/625
Solve system of equation using elimination by addition.
Will give brainliest!!
Answer:
[tex]x = 2, y = -1[/tex]
Step-by-step explanation:
We can add the 2 equations together to solve for y.
[tex](-3x + 5y) + (3x + 7y) = (-11) + (-1)\\-3x + 3x + 5y + 7y = -11 -1\\12y = -12\\y = -1[/tex]
Now we can solve for x by substituting y in one of the original equations.
[tex]3x + 7y = -1\\3x + 7(-1) = -1\\3x - 7 = -1\\3x = 6\\x = 2[/tex]
Those are the answers
- Kan Academy Advanced
Consider isosceles ΔXYZ.
What is the value of n?
What is the measure of leg XY? ft
What is the measure of leg XZ? ft
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.
A.) The value of n can be found by equating XY and XZ together,
XY = XZ
9n + 12 = 15n - 6
12 + 6 = 15n - 9n
18 = 6n
n = 3
Hence, the value of n is 3.
The length of different legs of the triangle is,
B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39
C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39
Hence, the length of the legs XY and YZ is equal to 39 units.
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Answer:
Step-by-step explanation:
3
39
39
Given (x – 1)2 = 50, select the values of x.
Answer:
[tex]x= 1 +5\sqrt 2,~~ x=1-5\sqrt 2[/tex]
Step-by-step explanation:
[tex]~~~~~~(x-1)^2 = 50\\\\\implies x -1 = \pm\sqrt{50}\\\\\implies x = \pm\sqrt{25 \times 2} +1\\\\\implies x= 1 \pm 5\sqrt 2[/tex]
(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.
x y
4 3
6 4
8 9
11 12
13 17
A: y = 1.560x - 4.105
B: y = -4.105x + 1.560
C: y = 4.105x - 1.560
D: y = -1.560x + 4.105
please hurry
Answer:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
where:
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptTo determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.
From inspection of the data, we can see that as x increases, y increases. Therefore, the slope of the equation will be positive.
(If the y-values decrease as the x-values increase, then the slope would be negative).
Therefore, we can immediately discount answer options B and D as they have negative slopes.
The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.
Therefore, the line of best fit is:
A: y = 1.560x - 4.105
To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).
Choose 2 points on the line of best fit: (4, 2) and (11, 13)
Use the slope formula with these points to calculate the approximate slope:
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]
Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.
How to find the surface area of a hexagon?
Answer:
adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.
Step-by-step explanation:
6. Multiply: (x – 4)(x + 5)
(a) x2 + 5x - 20,
(b) x2 - 4x - 20,
(c) x2 - x - 20,
(d) x2 + x - 20.
Find the sum of the cubes of first 15 natural numbers.
The sum of the cubes of first 15 natural numbers.
Solution:[tex]( \frac{(15 \times 16)}{2} {)}^{2} [/tex]
[tex] = (15 \times 8 {)}^{2} [/tex]
=14400
Hence, the sum of the cubes of first 15 natural numbers is 14400
A puppy weighs
10 pounds and is
gaining 1 pound
each week.
Can someone help please?
In a a computer game positive numbers represent earning points and negatiive numbers represents.wich number represents losing more than 500 points
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that represents losing more than 500 points is x<-500.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given In a computer game positive numbers represent earning points and negative numbers represent losing points. Therefore, the loss of more than 500 points is given by the inequality,
x< -500
Hence, the expression that represents losing more than 500 points is x<-500.
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What is the equation of a line with a slope of -1 and a y-intercept of -5?
Answer:
y = -x - 5
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
Since you have been given the slope and y-intercept, you can substitute these values into the equation to find the answer.
m = -1
b = -5
y = mx + b
y = (-1)x + (-5)
y = -x - 5
Answer:
y = -x -5
Step-by-step explanation:
We can use y = mx + c to find the equation of the line.
Here,
m ⇒ slope of the line
c ⇒ y - intercept
They have already given that,
m ⇒ -1
c ⇒ -5
So, now we can write the equation of the line like this.
To write the equation of the line you can replace m and c with -1 & -5 respectively.
Let us write now.
y = m x + c
y = -1x - 5
The measure of A∠ is greater than twice the measure of B∠ . If the angles’ sum is 42 degrees, find the measure of A∠ .
Step-by-step explanation:
I think angle A = 21 degree
because in the question there is angle A Is twice means angle a + angle a= 4G degree
2 angle a=42 degree
42 divides by 2
answer is 21 degree
what is the full answer to pie
Answer:
[tex]\pi[/tex]= 3.1415926...= c/d
Step-by-step explanation
Pie is infinite so there is no simple answer.
circumference divided by the diameter = pie
Find the width of the rectangle shown with an area of 18 mm2 and a length of 6 mm.
In the fall of 2003, a magazine article reported that about 87% of adults drink milk. A local dairy farmers' association is planning a new marketing campaign for the tri-county area they represent. They randomly polled 800 people in the area. In this sample, 654 people said that they drink milk. If 87% is the correct percentage of adults who drink milk, what is the probability that the association would observe 654 or less people who drink milk in the sample
Using the normal distribution, it is found that the probability that the association would observe 654 or less people who drink milk in the sample is of 0%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].For the binomial distribution, the parameters are given as follows:
n = 800, p = 0.87.
Hence, the mean and the standard deviation of the approximation are given by:
[tex]\mu = np = 800 \times 0.87 = 696[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{80 \times 0.87 \times 0.13} = 9.5121[/tex].The probability that the association would observe 654 or less people who drink milk in the sample, using continuity correction, is [tex]P(X \leq 654.5)[/tex], which is the p-value of Z when X = 654.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{654.5 - 696}{9.5121}[/tex]
Z = -4.36
Z = -4.36 has a p-value of 0.
0% probability that the association would observe 654 or less people who drink milk in the sample.
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Graph the solution to this system of inequalities in the coordinate plane.
For the system of equations, we need to plot a straight line passing through the intercepts.
Inequality GraphsInequalities are equations separated by an equal sign. Given the following system of inequality
3y >2x + 12
2x + y ≤ -5
For the system of equations, we need to plot a straight line passing through the intercepts.
For the inequality 3y >2x + 12, the upper part of the graph will be shaded and the line dashed.
For the inequality 3y >2x + 12, the lower part of the graph will be shaded and the line solid.
The graph of the system of equations is graphed below
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