The law of cosines generalizes the Pythagorean formula to all triangles. It says that c^2, the square of one side of the triangle, is equal to a^2 + b^2, the sum of the squares of the the other two sides, minus 2ab cos C, twice their product times the cosine of the opposite angle. When the angle C is right, it becomes the Pythagorean formula.
c^2=a^2 + b^2 - 2abcosC
Pythagorean formula
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
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Christine has a bookcase with 21 books. There are 7 shelves in the bookcase. Each shelf has the same number of books. How many books does each shelf have?.
Answer:
3 books
Step-by-step explanation:
You divide 21 by 7 to equally distribute the books on each shelf.
Find the volume of a rectangular pyramid with the following dimensions.
length = 9 in ; width = 7 in ; height = 5 in
A 315
B 105
C 0157.5
D 472.5
Answer:
B
Step-by-step explanation:
like my answer please gimme the brain
Number Machine #1
We've built a machine that follows these instructions:
Subtract 1
Multiply by 3
If we put 6 into this machine, what will come out?
Subtract 1
Multiply by 3
Submit
6
Answer:
6-1=5 times 3 =15
Step-by-step explanation:
Triangle ABC is taken to triangle ABC by a dilation. Which of these scale factors for the dilation would result in an image that was larger than the original figure?
A)3/5
b)13/17
c)1
D)4/3
Answer:
D
Step-by-step explanation:
you would see this as correct because it has a larger numerator than its denominator.
given MN AC find the length of BN
a21
b18
c29
d27
Answer:
C
Step-by-step explanation:
15 - 9 = 6, So I then looked at each answer to see which had a difference of 6 and 35 - 29 = 6.
GOOD LUCK IN MATH!
Ashleys Shoe Store buys shoes for $35 and then sells them for
$85.
What is the percent of increase on the price of the shoes?
Round to the nearest whole number
Step-by-step explanation:
% Increase = ((New value - Old Value) / Old Value) * 100
Given New value = $85
and Old Value = $35
% Increase =
[tex] (\frac{85 - 35}{35} ) \times 100 \\ = ( \frac{50}{35} ) \times 100 \\ = 143percent(nearest \: whole \: number)[/tex]
how to solve 7x+(-3)=18
Answer:
x=3
Step-by-step explanation:
7x(-3)=18
add 3 to both sides
7x=21
divide by 7 on both sides
x=3
Answer:
7x+(-3)=18
7x-3=18
7x-3+3=18+3
7x=18+3
7x=21
7x/7=21/7
x=21/7
x=3
Which of the following points lies on the graph of y=x^2-5?
Answer:
(-2,-1)
Step-by-step explanation:
The point (-2, -1) lies on the graph of y=x²-5
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given function is y=x²-5
A relation is a function if it has only one y-value for each x-value.
We have to find the points which lies on the graph of y=x²-5
The graph is a parabola which has vertex of (0, -5)
Let us find few points of function
When x=-2, y=-1
When x=0, y=-5
when x=1, y=-4
when x=2, y=-1
when x=3, y=4
when x=4, y=11
when x=5, y=20
Hence, the point (-2, -1) lies on the graph of y=x²-5
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Prove: The opposite sides of a parallelogram are equal.
Answer:
A=(0,0), B=(b,0), C=(b+c,d), D=(c,d) Then Using the distance formula
DC=√(c-[b+c])2+(d-d)2 DC=√b2 DC=b AB=√(0-b)2+(0-0)2 AB=√(-b)2 AB=√b2 AB=b then DC=AB DA=√(c-0)2+(d-0)2 DA=√c2+d2 CB=√(b+c-b)2+(d-0)2 CB=√c2+d2 then DA=CB
Step-by-step explanation:
9x -5y = 16
-3x + 7y = 16
-4x - 2y = 14
10x - 7y = 25
1) Is this relation a function? WHY or WHY NOT?
X
-1
у
-8
5
9
-9
7
-8
-6
5
4
Answer:
yes its a function because the x side doesnt repeat itself
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
I need help with this pls
Answer:
JanetStep-by-step explanation:
Because janet daily step count is 5000-9000And brends step count is7000-10000Janat step count is 1000 greater than brenda.Please mark me brainalist.Find the base of a parallelogram with a hight of 10.5 feet and an area of 189 square feet?
Base=18
Step-by-step explanation:
I have used area equals to base times height that's the formula of a parallelogram and I've gotten that base equals to 18 hope this helps.
99+72 = 9( ? +8) \
Pls help
HELPPPPPPPPPP!!!!!!!!!
Answer:
100 hours
Step-by-step explanation:
can i get brainlist
Answer:
100
Step-by-step explanation:
80-1800
90-1900
100-2000
A bag contains. 7 red, 8 blue, 2 green, 5 black, and 3 yellow marbles. A marbles will be drawn from the bag and replaced 175 times. what is the reasonable prediction for the number of times a yellow or green marble be drawn?
A. 35
B. 25
C. 5
D. 7
Answer:
A. 35
Step-by-step explanation:
The total number of marbles is 25
The number of green & yellow marble is 5
The probability of getting a yellow or green marble (if drawn once) = 5/25
So, if drawn 175 times, 5×175/25 = 35
links will get banned
Answer:
TrueStep-by-step explanation:
It's a square, so it'll have rotational symmetry.
[tex] \infty \infty [/tex]
5. (5 points) You have a jar full of jelly beans. You will randomly pick 2 jelly beans without replacement.The probability that you choose 2 green jelly beans is 14/95 and the probability of drawing one green jelly been is 2/5 . what is the probability of picking a second green, given the first was green?
Answer:
7/19
Step-by-step explanation:
In order to find the probability that two events happen in a sequence you simply have to multiply the probability of each individual event together. Since the probability of the sequence is given to us as well as the probability of drawing the first green jelly bean, this means we need to divide the first probability by the probability of the sequence to get the probability of the second event. Basically, reversing the process. Dividing two fractions, we simply divide the numerators by each other and then the denominators by one another.
[tex]\frac{14 / 2}{95 / 5} = \frac{7}{19}[/tex]
Therefore, the probability of picking the second green jelly bean is 7/19
the differences of 4 and a number x is 14
Answer:
x=18
Step-by-step explanation:
x-4=14
+4 +4
x=18
Plz help thank you alot
Answer:
A. 117.2 cubic feet
Step-by-step explanation:
Volume of the cone = ⅓πr²h
Where,
r = 4 ft
h = 7 ft
π = 3.14
Substitute
Volume = ⅓*3.14*4²*7
Volume = 117.226667 ≈ 117.2 cubic feet
What is the domain of the linear function below?
Y=6x+3
A. All negative numbers
B. All positive numbers
C. Integers only
D. All real numbers
Jamal is a real estate agent who earns a 4.5% commission on her sales. If she sells a home worth $250,000, what is her commission?
A) $10,450
B) $11,250
C) $12,150
D) $12,850
Answer:
B 11,250
Step-by-step explanation:
Answer:
11,250
Step-by-step explanation:
what is q(x)=9x2-24x+16
Answer:
1 1/ 3
Step-by-step explanation:
find the perimeter of the figure
Answer:
(19x+10)/2
Step-by-step explanation:
Perimeter of the figure is the sum of all the sides
Perimeter of the figure = 4x+3 + x+2+2x+2 + x/10 -1 + 2x/5 + 2x-1
Perimeter of the figure = 4x+x+2x+2x+x/10+2x/5 + 3 + 2 + 2 -1-1
Perimeter of the figure = 9x + (x+4x)/10 + 5
Perimeter of the figure = 9x + 5x/10 + 5
Perimeter of the figure = 9x + x/2 + 5
Perimeter of the figure = (18x+x)/2 + 5
Perimeter of the figure = 19x/2 + 5
Perimeter of the figure = (19x+10)/2
Karen has a new job as a teacher's aide. Her annual salary is $26,210. What is her bi-weekly salary? Round your answer to the nearest cent.
Answer:
$1008.08
Step-by-step explanation:
biweekly is every 2 weeks
52/2 = 26
$26,210/26 = $1008.08
Covert 50 °F to °C
°C = ( 50 -32)
Answer:
50 Fahrenheit (F) 10 Celsius (C)
1 F = -17.222 C 1 C = 33.800 F
Answer:
50 Fahrenheit (F) 10 Celsius (C)
1 F = -17.222 C 1 C = 33.800 F
MATH DUE IN A BIT TYSMMMM!!!!!!!!!!!
Answer:
A i think sorry if I'm wrong
Step-by-step explanation:
1/2 x 2/3 should equal 3/4 so it can be b or d
7. A parabola has a maximum or minimum point called the
This is the point where the
curve changes direction. If the parabola opens up, the vertex is the
point. If it opens
down, it is the
point.
a) Axis of symmetry, minimum, maximum
b) Vertex, maximum, minimum
c) Axis of symmetry, maximum, minimum
d) Vertex, minimum, maximum
Please just type which letter ASAP, no links.
Answer:
D
Step-by-step explanation:
Costas has an after school job. He budgets his money, allowing 0.31 of his earnings for food and 0.58 of his earnings for entertainment. The rest of the money he saves. If he earns $67.50 per week, which is the best estimate of the amount of money he saves each week ?
Answer: the amount of money he saves a week is $19.56
Step-by-step explanation: I am assuming that you mean percent so you subtract the percentages ($67.50 - 58%) - 31% This should give you a remaining amount of $19.56
Need help asap !!!! It also said round to the nearest tenth
Answer:
4524.9
Step-by-step explanation:
Area of a parallelogram:
A = bh
A = 63 x 90
A = 5670
Area of half-circle:
A = (πr²)/2
A = (π x 27²)/2
A = (π x 729)/2
A = 729/2π
Combined:
5670 - 729/2π
4524.9