Explain why they substituted cos(60) with 1/2 ?
(Look at image)
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Answer:
equals can be substituted anytime anywhere
Step-by-step explanation:
cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.
__
If you don't substitute at some point, you find the answer to be ...
x = 10/cos(60°)
Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.
find the common ratio 3, 9, 27, 81
if the ordered pairs (x-2,3y+1) and (y+1,x+3) are equal,find x and y
plz help me
Một lớp có 40 học sinh gồm học sinh giỏi, học sinh khá , và học sinh trung bình , số hs trung bình chiếm 1/4 cả lớp , số hs khá bằng 60% số học sinh còn lại a) tính số học sinh mỗi loại B) tổng số hs khá và giỏi chiếm bao nhiêu phần trăm trong lớp
Answer:
Đổi 60% = 3/5
a) Số học sinh trung bình là: 40 * 1/4 = 10 (hsinh)
Tổng số hsk và hsg là: 40 - 10 = 30 (hsinh)
Số học sinh khá bằng 60% số học sinh còn lại nên số hsk là:
30 * 60% = 18 (hsinh)
Số học sinh giỏi là: 30 - 18 = 12 (hsinh)
b) Tổng số hs khá và giỏi chiếm số phần trăm trong lớp là:
30 : 40 * 100 = 75%
pls help me ASAP !!!!!!!!!
find the area of circle having its radius 15cm
Answer:
A≈706.86
Step-by-step explanation:
welcome to brainly
Answer:
Let π =22/7
area of circle = πr²
= 706.86
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Given the following coordinates complete the glide reflection transformation.
hopefully this answer can help you to answer the next question.
Consider these four statements about a line that passes through two points on a plane.
Statement A: The lines on a different plane from the points.
Stament B: The line lies in only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.
Which statement is true?
Answer:
4
Step-by-step explanation:
Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
A number line going from negative 4 to positive 4. Points are at negative 1 and positive 1.
A number line going from negative 8 to positive 8. Points are at negative 7 and positive 7.
A number line going from negative 7 to positive 1. Points are at negative 7 and positive 1.
Answer:
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
Step-by-step explanation:
We have the equation:
|8 - 2*p| = 6
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|8 - 2*p| = 6
as:
(8 - 2*p) = 6
or
(8 - 2*p) = -6
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
8 - 2*p = 6
8 - 6 = 2*p
2 = 2*p
2/2 = p = 1
so one solution is p = 1
Now from the other equation, we can get the other solution:
(8 -2*p) = -6
8 - 2*p = -6
8 + 6 = 2*p
14 = 2*p
14/2 = p = 7
So the two solutions are p = 1 and p = 7
Then the correct option is:
"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."
i think i got the hang of it but i still need help
pls help !
Answer:
50
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 degrees
since one of the angle is given as 80 the remaining is 100
The given is an isosceles triangle which means two of its side length and so its angles are equal in measure so 100/2 = 50
Answer:
4/5 t
Step-by-step explanation:
why?
80%xt by definition of p%=p/100
80/100t
80/100t reduce the fraction with 20
so the answer is;
4/5 t
Hope it helps
7t + 6 + 3v + 6v
Hey can someone help ne
Answer:
7t + 6 + 9v
Step-by-step explanation:
7t + 6 + 3v + 6v (since 3v and 6v are like terms you will add them both.)
7t + 6 + 9v
Hope this helps, thank you :) !!
Answer:
7t+6+9v
Step-by-step explanation:
7t+6+3v+6v
7t has no opponent it is =7t
6 is on it own =6
3v+6v=9v,reason is 3v has an opponent which is 6v so addition of 3v and 6v is =9v
so ur ans. is =7t+6+9v
A farmer uses 1/3 of his land to grow corn and 1/4 to grow yams . What fraction of the land is left?
Answer:
7/12
Step-by-step explanation:
3*4=12. 4/12+3/12=7/12.
Answer:
5/12
Step-by-step explanation:
you find the common factor of 12, divide 12 by the denominator, multiply the numerator by that, add the new numerators, put it on the denominator of 12, subtract it from 12/12
what expressions are equivalent to 5+(-3)(6x-5)
Answer:
Hi!
Step-by-step explanation:
-5 (x-3) + 3(4 - x) + 2x
Let's distribute the -5 within its parentheses.
A negative multiplied by a negative number has a positive result.
Let's distribute the 3 within its parentheses.
-5x+15+12-3x+2x
Combine like terms...
-5x-3x+2x=-6x
15+12=27
-6x+27
Both numbers are divisible by 3...
3(-2x+9)
or -3...
-3(2x-9)
Daniel buys a new car.
In the first year, the value of the car decreases by 12% of its original value.
The value of the car at the end of the first year is £9680.
(a) Work out the original value of the car.
The value of the car at the end of the first year is £9680.
In each of the second year, the third year, fourth year and the fifth year, the value of the car decreases by
x% of its value at the beginning of each year.
The value of the car at the end of the fifth year is £5000.
(b) Work out the value of x.
Give your answer correct to 3 significant figures.
Answer:
Step-by-step explanation:
Value of the car at the end of the first year = £9680
Depreciation = 12 %
Original price = £ x
If we reduce 12% of original price from x, we will get £9680
x - 12% of x = £ 9680
[tex]x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000[/tex]
Original price = £ 11000
Solve the equation |8y+4|=2|y−1|.
Explain.
[tex]\\ \sf\longmapsto |8y+4|=2|y-1|[/tex]
[tex]\\ \sf\longmapsto 8y+4=2y-1[/tex]
[tex]\\ \sf\longmapsto 8y-2y=-1-4[/tex]
[tex]\\ \sf\longmapsto 6y=-5[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-5}{6}[/tex]
In the town of Rockville, 35 of the students in middle school participate in organized sports after school. If 14 of them play basketball, what fraction of the students play basketball?
Answer:
2/5
Step-by-step explanation:
The fraction that play basketball is the number that play basketball over the total
14/35
Divide the top and bottom by 7
2/5
Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?” The results are shown in the table below:
(attached)
Help Andrew determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process.
Answer:
Honor students have a probability of 43% to non-honor students 25%.
Step-by-step explanation:
Prob of honor student getting math class choice = 215/500 = 43%
Prob of non-honor student getting math class choice = 125/500 = 25%
please help me with this trigonometric ratio/terminal arm question, giving brainliest!
your outlook on the increasing spread of epidmics
Answer:
increasing spread epidemics your outlook
Please help me find x
Need help fast!!
Answer:
x = 100°
Step-by-step explanation:
p and q are parallel lines. Construct line 'l' parallel to p and q
a = 30° {p// l when parallel lines are intersected by transversal alternate interior angles are congruent}
c +110 = 180 {linear pair}
c = 180 - 110
c = 70°
b= c {q // l when parallel lines are intersected by transversal alternate interior angles are congruent}
b = 70°
x = a + b
x = 30° + 70°
x = 100°
Find the length of the side and area ot the square whose perimeter is given below a)44cm b)80cm
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Answer:
a) 11 cm
b) 20 cm
Step-by-step explanation:
A square has four equal-length sides, so the perimeter is 4 times the side length. Then the side length is 1/4 of the perimeter.
a) s = (1/4)(44 cm) = 11 cm
b) s = (1/4)(80 cm) = 20 cm
Evaluate ab+bc+ca . If a²+b²+c²=50 and a+b+c=12
Answer:
ab+bc+ac=47
Step-by-step explanation:
(a+b+c)=12
Square both sides
a^2+b^2+c^2+2(ab+bc+ac)=144
2(ab+bc+ac)=94
ab+bc+ac=47
Answer:
ab + bc + ca = 47
Step-by-step explanation:
Using the algebraic identity
(a + b + c) = a² + b² + c² + 2(ab + bc + ca) , then
12² = 50 + 2(ab + bc + ca)
144 = 50 + 2(ab + bc + ca) ← subtract 50 from both sides
94 = 2(ab + bc + ca) ← divide both sides by 2
47 = ab + bc + ca
Please do a explanation:’)
Answer:
3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)
By BODMAS rule...
= 3x-5x-3xy-2xy+6
= -2x-5xy+6
hope you understood...
Answer and Step-by-step explanation:
We are given an expression to simplify. According to PEMDAS
(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.
With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.
Start with the first set of terms in the expression.
3(x - xy)
We need to multiply 3 to the x and negative xy.
3x - 3xy
Now we go to the next set of terms in the expression.
-x(2y + 5)
Distribute the x (multiply) to the 2y and 5.
-2xy - 5x
Now, we combine like terms within the entire expression.
Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.
3x - 3xy - 2xy - 5x + 6
____________________________________________
-5xy - 2x + 6 <- This is the final answer; the simplified version of the expression.
#teamtrees #PAW (Plant And Water)
Pls help answer, also explain. I will give brainliest
Answer:
8 lb box
Step-by-step explanation:
Find which laundry detergent has a lower unit price
The unit price is how much something costs for a single unit
In this case, it is how much the detergent costs for 1 pound
7.4/8 lbs = 0.925 dollars per lb
5.38/4 lbs = 1.345 dollars per lb
Since 1.345 > 0.925, the 8 lb box is a better buy
Case 1
Cost of 8 pound detergent = $7.40
So, cost of 1 pound detergent
= $7.40 ÷ 8
= $0.925
Case 2
Cost of 8 pound detergent = $5.38
So, cost of 1 pound detergent
= $5.38 ÷ 4
= $1.345
$0.925 < $1.345
$0.925 < $1.345So, cost per pound in 8 pound box < cost per pound in 4 pound box
So, buying the 8 pound box is better.
If A is directly proportional to B and B = 5 when A = 6.
(a) Find the value of B when A=4.
(b) Find the value of A when B = 2.
(c) Sketch the graph of A against B.
Answer:
good question
but I don't know
please I am so sorry
3. Find the product, using suitable properties :
a) 26 x (-48) + (-48) x (-36)
b) 625 x (-35) + (-625) x 65
please answer fast 10 marks
a) 26 x (-48) + (-48) x (-36) = ( –1248) + ( + 1728) = – 1248+ 1728 = 480
b) 625 x (-35) + (-625) x 65 = ( –21875) + ( –40625) = – 21875 –40625 = –62500
I hope I helped you^_^
what's the rational approximation of 15
Answer:
15 / 1
hope that helps uh...☺
Which function represents g(x), a refection of f(x)=1/2(3)^x across the y-axis
Answer: g(x) = (1/2)3^-x reflection over y axis yields (-x,y)
factor and solve problem in picture pleaseeee
I hope it's right have a great day :)
Answer ASAP please!
………
Answer:
47.746, answer choice C
Step-by-step explanation:
47.746