Answer:
113.97 degrees
Step-by-step explanation:
use the cosine rule for finding an angle
cosA = b^2 + c^2 - a^2
2bc
In the given triangle angle A is greatest than any other angle.
What is the triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given sides of triangle, a=2cm,b=8cm,c=9cm
cosine law
Cos A = [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144
Cos B = [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36
Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex] = -13/52
A = Cos⁻¹ (141 /144 )
B = Cos⁻¹ (21/ 36 )
C = Cos⁻¹ (-13/52 )
Thus Angle A < Angle B < Angle C.
Therefore, Angle A is the greatest in the triangle.
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Help Please I need to finish my assignments still
Answer:
4.155
Step-by-step explanation:
4.53-0.375=4.155
If you were to flip a coin 20 times, what is the probability you will get at least 13 heads?
Answer:
A good chance because getting heads is most likely what you will get
Step-by-step explanation:
Help this is seventh grade fractions.
Answer:
3/8
2/3
(3/8)(3/2) = 9/16 pages/1 minute
Step-by-step explanation:
Find the slope of the line through each pair of points.
1. (19, -16), (-7, -15)
2. (-4, 7), (-6, -4)
3. (20, 8), (9, 16)
Step-by-step explanation:
1)
[tex] \frac{ y_{2} - y_{1}}{x_1 - x_2} [/tex]
[tex] \frac{ - 15 - ( - 16)}{ - 7 - ( + 19)} [/tex]
[tex] \frac{ - 15 + 16}{ - 7 - 16} [/tex]
[tex] \frac{ + 1}{ - 23} [/tex]
[tex] - \frac{1}{23} [/tex]
2)
[tex] \frac{ - 4 - 7}{ - 6 - ( - 4)} [/tex]
[tex] \frac{ - 11}{ - 2} [/tex]
[tex] + \frac{11}{2} [/tex]
3)
[tex] \frac{16 - 8}{9 - 20}[/tex]
[tex] \frac{6}{ - 11} [/tex]
[tex] - \frac{6}{11} [/tex]
Help please true or false?
Does anyone know how to do this?? I don’t understand. I need help please ASAP! Tysm
17. 30
19. 58
21. 55
23. 23
If white light is made up of all colors, how can you tell what color an object is.
Answer:
See explanation
Step-by-step explanation:
White light is composed of seven different wavelengths. This can easily be established by using a prism to separate the various wavelengths that constitute white light.
How come we get to tell if an object has a particular colour? We get to know colours because the observed colour of an object is the wavelength that is reflected by that object.
An object that absorbs all other wavelengths in the spectrum of white light but reflects red light will appear red to the eye.
If Fun Reads Bookstore has a ready club with a $40 fee and charges $5 per book and Cool Covers Bookstores club charges $100 fee and charges $2 per book how many books would you have to buy to make Cool Covers Bookstore club a better buy?
Answer:
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
Step-by-step explanation:
Given that:
Fee charged by Fun Reads Bookstore = $40
Charges per book = $5
Let x be the number of books.
A(x) = 5x+40
Fee charged by Cool Covers Bookstore = $100
Charges per book = $2
B(x) = 2x+100
For making Cool Cover Bookstores club a better deal,
B(x) > A(x)
2x+100 > 5x+40
2x-5x > 40-100
-3x > -60
Dividing both sides by -3
[tex]\frac{-3x}{-3}>\frac{-60}{-3}\\x>20[/tex]
Hence,
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
Two customers went to the post office to buy postcards and large envelopes. Each postcard costs the same amount and each large envelope costs the same amount.
● The first customer paid $12 for 14 postcards and 5 large envelopes.
● The second customer paid $24.80 for 10 postcards and 15 large envelopes.
What was the cost in dollars of each large envelope?
1. $1.42
2. $1.15
3. $0.63
Answer:
The first one $1.42
Step-by-step explanation:
1.42x5=7.1 (cost of all envelopes)
12-7.1=4.9
4.9/14=0.35 (one postcard)
10 postcards= 3.5
1.42x15=21.3 (cost of all envelopes)
3.5+21.3=$24.80
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Answer:
11^-2 = 0.0082644628
11^-1 = 0.0909090909
11^0 = 1
11^1 = 11
11^2 = 121
Three is less than the sum of a number x and 4.
Answer:
3 < x+4
Step-by-step explanation:
The less than symbol is <
3 is less than the sum ( add) of x and 4
3 < x+4
Solving
Subtract 4 from each side
3-4 < x+4-4
-1 <x
A minicar race is being held in Shipton. There are 4 students from Westview School who have entered it. There are 7 students from Eastmont School who have entered. How many students from both schools have entered the race? "_______ students from both schools have entered the race."
Answer:
11 students
Step-by-step explanation:
In order to solve this problem, you would simply need to add the provided number of students from each school together. This would give you the total number of students from all of the aforementioned schools that have decided to enter the race.
4 + 7 = 11 students
Therefore, we can see that a total of 11 students from both schools have entered the race.
$2,300 invested at 7.5% for 10 years. In simple interest
Answer:
here's the answers............
Q. At the gas station Jessie purchases a candy bar for $1.25, a drink for $2.58 and a bag of
Takis for $3.24. What will Jessie spend on a sales tax if it is 3.2%?
Please help me by answering my question
A park has the dimensions indicated in the diagram. Which expression represent the perimeter of the park?
Answer:
78m.
Step-by-step explanation:
Since we are not given any dimension we can use the following dimension.
Let the park be rectangular in nature
Length = 25m
Width = 14m
Perimeter = 2(L+W)
Perimeter = 2(25 + 14)
Perimeter = 2(39)
Perimeter = 78m
Hence the perimeter of the park is 78m.
Note that the dimension were assumed and any values can be used using similar calculation.
How much interest would $4000 earn in one year at a rate of 3.2%?
Use the graph below to choose a solution to the system of inequalities,
y
2.0
4
A) (2.1
B 6. 6
5.
6
02.1
Answer:
D
Step-by-step explanation:
Pls help. I don't know how to do this and pls don't answer if you don't know the answer.
Answer:
m = 3 5/18
All you need to do is rewrite the equation as 8 1/9- 4 5/6
(x+5)(x-2) Expand and simpliy
Step-by-step explanation:
x(x-2) +5(x-2)
x² -2x + 5x -10
x² + 3x - 10
Answer:
the answer is x^2 + 3x - 10 I guess!
Step-by-step explanation:
This is an algebraic equation so-
please answer this question
Answer:
D. 1,300
Step-by-step explanation:
The scale on a map is 1 cm equals 10 miles. Find the length on the map of 300 miles, 150 miles, 60 miles, and 170 miles. List your answers in numerical order.
Answer:
30 cm = 300 miles
15 cm = 150 miles
6 cm = 60 miles
17 cm = 170 miles
The length of maps of 300miles, 150 miles,170mile and 60 miles are 30cm ,15cm, 17cm and 6cm respectively.
What is unit conversion?
A method of converting from one unit to another.
According to the given question we have
1cm = 10miles
⇒ 1mile = [tex]\frac{1}{10} cm[/tex] = 0.1cm
Therefore, the length on map of
300 miles = 300 × 0.1 = 30cm150 miles = 150 × 0.1 = 15cm170 miles = 170 × 0.1 = 17cm 60 miles = 60 × 0.1 = 6cmLearn more about unit conversion here:
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What are the steps, in order, needed to solve 3x + 4 = 13?
Answer:
3
Step-by-step explanation:
First, subtract 4 from both sides. When you do this, that leaves you with: 3x=9. Then, divide 9 by 3 to get x by itself. x=3
Answer:
Find out what X is (X = 3) , Multiply X times three, add your new number with 4.
3 x 3 + 4 = 13
if f(x) =3/4x+5/6 what is f(12)
Answer:
59/6
Step-by-step explanation:
Multiply 3/4 with 1212 x 3 will become 36 and divided by 4 is 99 + 5/6 cannot be added because they do not have the same denominator. Next you have to multiply 9/1 with 6/6 so that it has the same denominator as 5/6The problem will now become 5/6 + 54/6Now you can add the numerators and get the answerThe answer is59/69. The diameter of the Earth is 7899.83 miles from the North Pole to the South Pole and 7926.41 miles from opposite points at the equator.
a. Find the approximate surface area of Earth using each measure.
b. About 75% of Earth's surface is covered by water. Find the surface area of water on Earth, using the diameter of the Earth is 7926.41 miles from opposite points at the equator.
Answer:
We could think of the Earth as a sphere, where the diameter of this sphere will the mean diameter between the measure from the North pole to the Soth pole and the measure from opposite points of the equator.
Remember that the mean between two numbers A and B is:
Mean = (A + B)/2
In this case, the mean diameter will be:
D = (7,899.83mi + 7,926.41mi)/2 = 7,913.115 mi
And we know that the surface of a sphere of diameter D is:
S = 4*pi*(D/2)^2
Where pi = 3.14
Then the surface of the Earth will be something like:
S = 4*3.14*(7,913.115mi/2)^2 = 196,618,601.47 mi^2
b) We know that 75% of the Earth's surface is water, now we will use the diameter 7,926.41 mi to compute the surface.
First, the total surface of the Earth will be:
S = 4*3.14*(7,926.41mi/2)^2 = 197,279,843.03 mi^2
And 75% of this is water, then the total water surface is 0.75 times that area, this is:
water surface = 0.75*197,279,843.03 mi^2 = 147,959,882.27 mi^2
PLEASE HELP NO SPAM! BRAINLIEST AND 5 STARS!
Answer:
has 3 sides
The formula for sum of interior angles is S = (n - 2) * 180. Therefore, 1980° = (n - 2) * 180. or, (n - 2) = 1980 / 180 = 11. or, n = 13
Step-by-step explanation:
that should be the answer
ur welcome
hope it helps
Estimate the value of y when x =2.5
Both of them
Step-by-step explanation:
[tex]y = {2.5}^{2} - 2(2.5) - 3 [/tex]
-1.75
Here we need to learn how to read a graph.
In a normal graph we have the inputs (the values of x) in the horizontal axis and the outputs in the vertical axis.
Here we want to see what is the value of y for the blue graph when x = 2.5
We will find y = -1.5
(the blue graph is the one that corresponds to: y = x^2 - 2x - 3)
To find this:
The first thing we need to do is find x = 2.5 in the horizontal axis.
Now that we found it, we need to draw a vertical line, and see at which point of the blue graph this vertical line intersects the curve. At that point we draw an horizontal line that intercepts the vertical axis.
At that point we have the y-value
You can see an example of this, a good estimation by only looking at the graph is y = -1.5
For the other point, the value of x when y = 1.
We do exactly the same thing but in the inverse order, we first find y = 1
Then we draw an horizontal line that intercepts the graph
Then we draw a vertical line that intercepts the x-axis and we find the value.
We can see that for y = 1 we have x = 3.2 aprox.
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Determine if x=2 is a solution.
Answer:
Do you have a picture for the problem that you want to be solved?
A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight in water and ate half its weight in food. Which equation can be used to find t, the combined weight of the water and the food, in ounces, that the hummingbird had on this day?
t = w + 8 - 1/2
t = w +8 + 1/2
t = 8w + w/2
t = 2w + 2/8
The "/" represent fractions not dividing
Juanita is making bread. She needs 3 1/2 cups of flour. Juanita only has 1/4 measuring cup. How many cups of flour will Juanita u see to prepare the bread
Answer:
if she uses a 1/4 measuring cup she would need to get 14 1/4 cups of flour
Step-by-step explanation: