The Law of Cosines can be used to calculate the angles of an isosceles triangle given three side lengths. Two of the angles are equal, while the third can be found by subtracting the two known angles from 180°.
Since you are given three sides of an isosceles triangle, you can use the Law of Cosines to calculate the angles of the triangle. The Law of Cosines states that for a triangle with side lengths a, b, and c and angle C opposite side c, the following equation holds:
c² = a² + b² - 2abcosC
Therefore, you can rearrange the equation to solve for angle C:
C = arccos((a² + b² - c²) / (2ab))
For an isosceles triangle, two of the angles will be equal, so you can calculate those two angles using the equation above, and the third angle can be found by subtracting the two known angles from 180°.
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How could this be solved
On solving the provided question, we can say that - area of the following cylinder is [tex]2\pi rh + 2\pi r^2 = > 2 * 3.14 *3*2 + 2 *3.14*2*2 = > 62.8[/tex]
what is cylinder?One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.
r=3
and h= 2
area =
[tex]2\pi rh + 2\pi r^2\\\\2 * 3.14 *3*2 + 2 *3.14*2*2\\62.8[/tex]
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•40 POINTS• don’t explain.
Answer:
ASA-------------------------
We can see two angles marked as same, one of them is a right angle.
The included vertical side is common to both triangles so is a congruent side.
Since we have congruence of two angles and the included side, it is Angle-Side-Angle or ASA.
help fast it is due soon
Answer:
1/81/21/201/161282016Answer:
1.) [tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]
2.) [tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{12}[/tex]
3.) [tex]\frac{1}{4}[/tex] ÷ 5 = [tex]\frac{1}{20}[/tex]
4.) [tex]\frac{1}{4}[/tex] ÷ 4 = [tex]\frac{1}{16}[/tex]
5.) 3 ÷ [tex]\frac{1}{4}[/tex] = 12
6.) 4 ÷ [tex]\frac{1}{2}[/tex] = 8
7.) 5 ÷ [tex]\frac{1}{4}[/tex] = 20
8.) 4 ÷ [tex]\frac{1}{4}[/tex] = 16
Hope this helps!
True or False: Surface area is the combined area for all of the surfaces of a 3D shape.
A. False
B. True
Answer:
A.
Step-by-step explanation:
It's false
How do you find the slope of two points on a graph?
To find the slope of two points on a graph, use the formula:
[tex]Slope =\frac{y2 - y1}{x2 - x1}[/tex]
Substitute the coordinates of the two points into the formula and solve for the slope.
Finding the Slope of Two Points on a GraphThe slope of two points on a graph is a measure of how steep the line connecting the two points is. To find the slope, you can use the slope formula: [tex]Slope =\frac{y2 - y1}{x2 - x1}[/tex]
This formula requires the coordinates of the two points, which can be found on the graph. Once you have the coordinates, you can substitute them into the formula and solve for the slope. This will give you the slope of the line connecting the two points.
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what is the perimeter of the triangle?
Answer:
Step-by-step explanation:
8,15,15 너 도넛
Answer if yk asap! no links.
Answer:
9
Step-by-step explanation:
Hope it helps
if the area of a sector is 15pi square cm and the radius is 5cm find the measure of the central angle
Given:
Area of a sector = [tex]15\pi[/tex]
Radius = 5 cm
To find:
The central angle.
Solution:
The area of a sector is:
[tex]A=\dfrac{1}{2}r^2\theta[/tex]
Where, r is the radius and [tex]\theta[/tex] is the central angle in radians.
Putting [tex]A=15\pi, r=5[/tex] in the above formula, we get
[tex]15\pi=\dfrac{1}{2}(5)^2\theta[/tex]
Multiply both sides by 2.
[tex]30\pi=25\theta[/tex]
Divide both sides by 25.
[tex]\dfrac{30\pi}{25}=\theta[/tex]
[tex]\dfrac{6\pi}{5}=\theta[/tex]
Therefore, the central angle in radians is [tex]\theta=\dfrac{6\pi}{5}[/tex].
helpppppppppppppppppppp
Given:
A rectangle with sides 40 and 25.
A circle with radius 8 inside the rectangle.
The area of circle is unshaded.
To find:
The probability that a point (randomly selected) will lie in the unshaded region.
Solution:
The area of the rectangle is:
[tex]A_1=Length\times Width[/tex]
[tex]A_1=40\times 25[/tex]
[tex]A_1=1000[/tex]
The area of the circle is:
[tex]A_2=\pi r^2[/tex]
Where, r is the radius.
[tex]A_2=\pi (8)^2[/tex]
[tex]A_2=\pi (64)[/tex]
[tex]A_2=64\pi[/tex]
[tex]A_2\approx 201.06[/tex]
The probability that a point (randomly selected) will lie in the unshaded region is:
[tex]\text{Probability}=\dfrac{\text{Unshaded region}}{\text{Total region}}[/tex]
[tex]\text{Probability}=\dfrac{A_2}{A_1}[/tex]
[tex]\text{Probability}=\dfrac{201.06}{1000}[/tex]
[tex]\text{Probability}=0.20106[/tex]
Therefore, the required probability is 0.20106.
I need help with one problem quick its due next hour show WORK. NO links
x + 3 = 5
Step-by-step explanation:
x + 3 = 5
x=5-3
×=2
Therefore the answer is x=2
Where is the graph of inequality 2x 3y 6 lies?
The graph of the inequality 2x+3y>6 is a half-plane the neither contains origin nor the points of the the line 2x+3y=6.
A linear inequality is a mathematical statement involving a linear function and one of the symbols <, >, ≤, or ≥. It represents a range of values for the variables that satisfy the inequality. The solution to a linear inequality is the set of all points that make the inequality true. These points form a region in the coordinate plane, which is known as the solution set. The solution set can be represented graphically as a half-plane, a line, or a combination of lines and half-planes, depending on the inequality.
The graph of the inequality 2x+3y>6 is the set of all points (x,y) that satisfies the inequality 2x+3y>6. It can be represented by a line 2x+3y=6 and all the points on one side of the line. This side is determined by the inequality sign ( > in this case).The side is away from the origin and the line 2x+3y=6 is the boundary line, and all the points on one side of the line satisfy the inequality while all the points on the other side do not.
The line 2x+3y=6's origin and its points are not present on the half-plane that represents the inequality 2x+3y>6.
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The quadrilaterals ABCD and JKLM are similar.
Find the length x of JK.
B
K
A
U
S
3. 5
2. 1
3
M
2. 1 L
D
3
c
X
0
X 5 ?
The length x of JK is 3.6 units
Here, quadrilaterals ABCD and JKLM are similar.
We know that the corresponding sides of similar triangles are in proportion.
So, by definition of similar triangles,
AB/JK = BC/KL = CD/LM = AD/JM
To find: the length x of JK
So, consider an equation
AB/JK = AD/JM
Substitute the length of each side in above equation.
4/x = 2/1.8
(4 × 1.8)/x = 2
(4 × 1.8)/2 = x
x = 2 × 1.8
x = 3.6
Therefore, the length of JK = 3.6 units
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The volume of a cylinder is 81n in. 3 and the height of the cylinder is 1 in. What is the radius of the cylinder?
Answer:
R=9
Step-by-step explanation:
. Mr. Johannsen has a farm with 3 cows, 8 chickens, and some ducks. If the total number of farm animal legs is 40, how many ducks does Mr. Johannsen have on his farm
The number of ducks on the farm is 12 legs / 2 legs/duck = 6 ducks.
To determine this:
Each cow has 4 legs, so the cows have 3 cows * 4 legs/cow = 12 legs.
Each chicken has 2 legs, so the chickens have 8 chickens * 2 legs/chicken = 16 legs.
We know the total number of farm animal legs is 40 legs.
So the number of duck legs can be calculated by subtracting the number of cow legs and chicken legs from the total number of farm animal legs: 40 legs - 12 legs - 16 legs = 12 legs.
Since each duck has 2 legs, the number of ducks on the farm is 12 legs / 2 legs/duck = 6 ducks.
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Find the numbers. A room is 12 feet longer than it is wide. Half the perimeter of the rectangular floor is 72 feet. Find the length and the width. Use elimination or substitution to solve this problem.
Answer: The width of the room is 36 feet and the length of the room is 48 feet.
Step-by-step explanation:
To solve this problem using elimination, you can set up a system of equations to represent the information given in the problem.
Let w be the width of the room, and let l be the length of the room. We are told that the length of the room is 12 feet longer than its width, so we can set up the equation:
l = w + 12
We are also told that half the perimeter of the rectangular floor is 72 feet. The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (length + width)
Since half the perimeter is 72 feet, the full perimeter is 2 * 72 = 144 feet. Substituting the equation for the length of the room, we get:
144 = 2 * (w + 12 + w)
Combining like terms and solving for w, we get:
w = 36
Substituting this value back into the equation for the length of the room, we get:
l = 36 + 12 = 48
Therefore, the width of the room is 36 feet and the length of the room is 48 feet.
To solve this problem using substitution, we could start by solving for the width of the room in one of the equations, and then substituting that value into the other equation to solve for the length of the room.
For example, we could solve the equation l = w + 12 for w to get:
w = l - 12
Substituting this expression for w into the equation for the perimeter, we get:
144 = 2 * (l - 12 + l)
Combining like terms and solving for l, we get:
l = 48
Substituting this value back into the equation for the width of the room, we get:
w = 48 - 12 = 36
Therefore, the width of the room is 36 feet and the length of the room is 48 feet.
400 families were surveyed. It was found that 90% had a TV set and 60% had a computer. Every family had at least one of these items. One of these families is randomly selected, and it is found that it has a computer. Find the probability that it also has a TV set.
A random selection of one of the families is made, and a computer is discovered there. P(computer AND TV) = 5/6.
How to find the Calculation?We surveyed 400 households. 60% of people had computers, while 90% of them had TVs.
These were something that every family owned at least one of.
A random selection of one of the families is made, and a computer is discovered there.
Check to see if there is a TV there as well.
union: # with computer, # with TV, - # with both, # with both
400 = 360 + 240 - # with both # with both = 200 / 400 = 0.9 * 400 + 0.6 * 400
P(computer AND TV) = 200/400 = 1/2 ——-
P(TV | computer) + P(TV and computer) / P(computer) = 0.5/0.6 = 5/6
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Peter owns a total of one hundred and forty four prized baseball cards. If he were to add 7 more American League players and three more national league players, his collection of American to national would be in a ratio of nine five. Find out how many cards of each league he has currently.
Answer:
24
Step-by-step explanation:
A woman looking out from the window of a height 30m, observed that the angle of depression of the top of a flagpole was 44°. if the foot of the pole is 25m from the foot of the building and on the same horizontal ground, find, correct to the nearest whole number, the angle of depression of the foot of the pole from the woman
Answer:
here is your answer = 56.7m
-2x < -6
Hi, can someone please explain this question?
The answer is x > 3 but i do not know how.
Please explain
Answer:
Ans is x<3
Step-by-step explanation:
➜-2x<-6
Multiply (-) on both sides➜2x<6
Divide both sides by 2➜2x/2<6/2
➜x<3
Distribute and then combine the like terms to simplify each expression.
8f - 6 (-5 - 7f)
please help
Answer: We start by distributing the -6 to the terms inside the parentheses:
8f - 6(-5) - 6(7f)
Then we simplify each term inside the parentheses:
8f + 30 + 42f
Now we combine like terms:
8f + 30 + 42f = 50f + 30
So the simplified expression is 50f + 30
Step-by-step explanation:
What is a no solution answer?
what is the value of x?
Answer:
43
Step-by-step explanation:
Sum of any two intieior angles in a triangle equal to the opposite exterior angle. (Therom)
So the interior angle opposite to 80 is also 80
Then
123 - 80 =43
If cost of 15 eggs is ? 75, then find out the cost of 4 dozens eggs.
Answer:
360
Step-by-step explanation:
15+75 equal 90
so 90+90+90+90 equal 360
A frosting is made of cream cheese and powdered sugar in
the ratio 3:2. If you use 120g of cream cheese, how much
powdered sugar should you use?
Plz help
Answer:
80g
Step-by-step explanation:
Answer:
80g
Step-by-step explanation:
80g
Simplify 4.5km:90m
.
Answer:
1km=1000m
so 4.5(1000m)/90m
4500m/90m,we eliminate meter by meter
,4500/90=50
Answer:
50
Step-by-step explanation:
1km = 1000 m
4.5 * 1000 = 4500 m
4500/90 = 50/1 = 50 m
GIVING BRAINLIEST AND MANY POINTS FOR ANSWER I BEG PLEASE PLEASE
1. Use the Distributive Property to simplify the expression.
6(5 - q)
Group of answer choices
11 - 6q
11 - q
30 - 6q
1 - q
Answer:
C) 30 - 6q--------------------------
Distributive Property is:
a(b + c) = ab + acApply it to the given expression:
6(5 - q) = 6*5 - 6*q = 30 - 6qThe matching choice is C.
Answer:
[tex] \sf \: c) \: 30 - 6q[/tex]
Step-by-step explanation:
Given expression,
→ 6(5 - q)
Let's simplify the expression,
→ 6(5 - q)
→ 6(5) - 6(q)
→ (6 × 5) - (6 × q)
→ (30) - (6q)
→ 30 - 6q
Hence, option (c) is correct.
What do the following two equations represent? y+1= -4(x - 2) 2x8y = 16
On solving the provided question, we can say that the values of the equation here will be y +1 = 8X 8y = 16 => y = 9.455
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
y+1= -4(x - 2) 2x8y = 16
x = 0
y +1 = 8X 8y = 16
y = 9.455
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Can someone Help me please
Answer:
Step-by-step explanation:
e
Answer:
B
Step-by-step explanation:
Natalie needs the number of tulips to be at least twice the number of lilies. 8 is more than double 3.
And 8 + 3 is less than 12 so it fits both requirements.
A 64 acre coconut farm is arranged in an 8 by 8 array. Mika wants to know the average number of coconut palms on each acre of land. The number in each cell tells how many coconut palms grow on that particular acre
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
Specify median.The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.
Here,
To do the average you add all the numbers then divide by how ever many numbers there are. I remember this through a rhyme:
=> 48 + 38 + 47 + 48+ 43+ 34+ 64+ 54 + 53+ 67 = 443/10 =44.3
Hey fiddle fiddle the medians the middle
You add and divide for the mean
The mode is the one you so the most
And the range is the difference between them
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
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The solution of the given problem of median comes out to be
option (A) 44.3.
What is median?
The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.
Here,
To do the average you add all the numbers then divide by how ever many numbers there are. I remember this through a rhyme:
=> 34 + 51 + 43 + 35 + 52 + 35 + 62 + 38 + 34 + 59 = 443/10 =44.3
Hey fiddle fiddle the medians the middle
You add and divide for the mean
The mode is the one you so the most
And the range is the difference between them
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
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The complete question is:
A 64‐acre coconut farm is arranged in an 8‐by‐8 array. Mika wants to know the average number of coconut palms on each acre. Each cell in the table represents an acre of land. The number in each cell tells how many coconut palms grow on that particular acre.
45 54 40 34 44 66 32 65 66 33 42 36 33 51 50 35 51 45 66 33 47 43 66 61 46 35 48 67 60 59 52 67 46 32 64 35 55 47 61 59 45 48 53 62 55 58 51 41 48 38 47 48 43 34 64 54 53 67 44 59 58 48 62 45
The numbers in green represent Mika's random sample of 10 acres. What is the average number of coconut palms on the randomly selected acres? Round your answer to the nearest tenth. The average number of coconut palms is
A. 44.3
B. 49.3
Determine which branch of statistics was used to make the following statement. In an online survey of 500 Virginia Tech students between spring 2010 and spring 2011, 3190 said that they had missed class because of alcohol consumption. A) differential statistics C) inferential statistics B) time series statistics D) descriptive statistics
The branch of statistics used to make the given statement is Option(D) Descriptive Statistics.
Which are the different branches of statistics?
The area of mathematics that deals with data is statistics. Data collection, descriptive statistics, and inferential statistics are the three main subfields of statistics.
The process of gathering data is what data collection is all about.The area of statistics known as descriptive statistics deals with how we present the data we have. Basically, this can be done in one of two ways: either visually (using graphs, charts, etc.) or quantitatively (via averages and so on).The part of statistics that deals with drawing inferences from the data is called inferential statistics.For the given question, we are presented with data quantitatively. The data shows out of 500 students, 31% missed class due to alcohol consumption.
Therefore the branch of statistics that was used to make the above statement is descriptive statistics.
Hence Option(d) is correct.
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