Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
x [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
x = 4
and
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{2\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )
y [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
y = 2
Factor the following Polynomial a) 6x - 18
find the domain and range of the following functions
Answer:
Step-by-step explanation:
X values are the domain and y values are range.
Domain = {-1,8,1,-2 }
Range = {3,2,5}
What is the equivalent ratio to 14:10 ?
?:30
Answer:
42:30
Step-by-step explanation:
10 x 3 = 30
14 x 3 = 42
Help me please this is due tommorow
A choir teacher is dividing 6 sopranos and 20 altos into singing groups. He wants each group to have the same combination of sopranos and altos, with no singers left over. What is the greatest number of groups he can make?
How do you solve this
Answer:
x = 8
Step-by-step explanation:
1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](16x+5x)+(7+5)=180[/tex] [tex]21x + 12 = 180[/tex]Step 2: Subtract 12 from both sides.
[tex]21x + 12 - 12 = 180 - 12[/tex] [tex]21x = 168[/tex]Step 3: Divide both sides by 21.
[tex]\frac{21x}{21}=\frac{168}{21}[/tex] [tex]x = 8[/tex]Step 4: Check if solution is correct.
[tex]16(8)+7+5(8)+5=180[/tex] [tex]128 + 7 + 40 + 5 = 180[/tex] [tex]135 + 40 + 5 = 180[/tex] [tex]175 + 5 = 180[/tex] [tex]80= 80[/tex]Therefore, x = 8.
can somebody please help me I’m begging I need help
Answer:
4.0%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100
percent change = (25475 - 24500)/(24500) * 100
percent change = 3.979...%
Answer: 4.0%
)
2 ft
2 ft
Perimeter:
Area:
Answer:
perimeter = 8 ftarea = 4 ftSolution:
perimeter- 2 + 2 + 2 + 2 = 8
area of square- (length × width) 2 × 2 = 4
I need this bonus question
Answer:
52 units^2
Step-by-step explanation:
The area of the dresser is simple. It is just a rectangle that is 4 units by 3 units.
A_dresser = LW = 4(3) = 12 units^2
The area of the bed is a little more complicated, but you can get by using just areas of rectangles.
See the picture below.
Notice that the entire bed fits within a square (shown in blue) that is 9 units by 9 units.
The area of the square is 81 units^2.
We need to subtract the areas of the 4 triangles at the corners.
There are two triangles, top left and bottom right (shown in green), that have a base of 5 and a height of 5. They combine to for a square that is 5 units by 5 units. The area of this square is 25 units^2.
There are two triangles, top right and bottom left (shown in red), that have a base of 4 and a height of 4. They combine to for a square that is 4 units by 4 units. The area of this square is 16 units^2.
Now subtract 25 and 16 from 81 to get the area of the bed.
81 - 25 - 16 = 40
A_bed = 40 units^2
Combined area of bed and dresser:
A = 40 units^2 + 12 units^2 = 52 units^2
Answer: 52 units^2
Here's another way of finding the area of the bed:
Count the number of full squares inside the bed (there are 31). Each full square is 1 unit^2. Then count the number of half-squares inside the bed (there are 18). Each half-square is 1/2 units^2. Add them all up:
31 + 1/2 * 18 = 31 + 9 = 40
You get 40 units^2
Jones needs to travel from Town A to Town B in 2 hours. If the distance between between two towns is 320km. At what speed will Jones need to drive?
Answer:jone cần lái xe với tốc độlà:
Step-by-step explanation: 320/2=160(km/h)
Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as fractions, if necessary. passes through (6, 2), parallel to y = -}x+1
How are rates and ratios related?
Answer:
Rates are ratios that are renamed so that one of the numbers is 1. It is usually the denominator of the original ratio.
Jorge has a standard deck of 52 cards and a six-sided number cube. What is the probability that he will draw a diamond from the deck of cards and roll a number greater than two? Write your answer as a simplified
The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 2/39
Probability is the like likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
If Jorge has a standard deck of 52 cards, the total outcome is 6
If Jorge draw a diamond card, the probability that he will draw a diamond card is 4/52 = 1/13
For a six-sided cube, the total outcome is 6. If he rolls a number greater than two, the expected outcome will be 4
The probability that he rolls a number greater than 2 is 4/6 = 2/3
The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 1/13 * 2/3 = 2/39
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If someone could help me I would mean a lot man.
Use the equation for the constant of proportionality, k =y/x, to determine each unknown value.
a. k = and y = 15
b.k = 1 and y = 5
Answer:
a k= and y=15
B . k=1 and y=5
please help me thank you
Answer:
Step-by-step explanation:
1.x +y = 1 Yes
2. Power of variable e is 3. So, it is not a linear equation
No.
3) Great than symbol is there. No, it is not a linear equation.
4. 2x -y = 2x + 5
2x - y - 2x = 5
-y = 5 is not a linear equation with two variable.
No.
5. No.
1) (5,14) ; (19,7)
[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{7-14}{19-5}\\\\=\dfrac{-7}{14}\\\\=\dfrac{-1}{2}[/tex]
2) (-10 , 1) ; (-10 ,4)
x- coordinate is same for both the points. So, the line is parallel to y-axis
Slope = undefined
[tex]3) (-3,-3) ; (15,13)\\\\slope=\dfrac{13-[-3]}{15-[-3]}\\\\=\dfrac{13+3}{15+3}\\\\=\dfrac{16}{18}\\\\=\dfrac{8}{9}[/tex]
[tex]4)(\dfrac{-1}{2},\dfrac{1}{7}) ; (\dfrac{-3}{2},\dfrac{2}{7})\\\\Slope=\dfrac{\dfrac{2}{7}-\dfrac{1}{7}}{\dfrac{-3}{2}+\dfrac{1}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{\dfrac{-2}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{-1}\\\\\\=\dfrac{-1}{7}[/tex]
Compare with y = mx + b ; here m is slope
1. y = -2x - 8
slope = -2
2. x = 3
Line is parallel to y-axis.
So, slope = undefined
3.2x - y = 4
2x - 4 = y
y = 2x - 4
Slope = 2
4.) 2x + y - 5 = 0
y = -2x + 5
Slope = -2
Use the following graph to find the slope, y-intercept, and x-intercept. 2 (-6,0) (2,-2)
Evaluate 4.56 × 3.6/ 0.12 and leave you answer in standard form.
Answer:
136.8
Step-by-step explanation:
As per DMAS rule, we can divide first or multiply first. I would choose divide first. Then:
4.56 x 3.6/0.12
= 4.56 x 30.
Since I divided first, the next step is to multiply.
4.56 x 30
= 136.8
Since there is no addition or subtraction happening next, the process ends here and the answer is 136.8.
Kind requests:
Please give me brainliest if this was helpful.
The expression value [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10².
To evaluate the expression [tex]4.56 \times \frac{ 3.6}{0.12}.[/tex]
Find the multiplication of the numerator with 4.56 and then divide it by 0.12.
Perform the multiplication first:
4.56×3.6 = 16.416
Now we divide the result by 0.12:
[tex]\frac{16.416}{0.12} = 136.8[/tex]
To express the answer in standard form, we rewrite it as a number multiplied by a power of 10.
In this case, we move the decimal point two places to the right to obtain a whole number:
136.8=1.368×10²
Therefore, the answer to the expression [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10²
To learn more on Expressions click:
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If x + y = 10 and x - y = 4, find the value of x² - y²
Answer:
x²-y² = 40
Step-by-step explanation:
Factorising x²-y²:
x²-y² = (x+y)(x-y)
This is due to the property that states:
a²+b² = (a+b)(a-b)
Substituting the given values into the above equation:
x²-y² = (10)(4)
= 40
Hence, x²-y² = 40
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Answer:
x² - y²=40 or 7²-3²=40
Step-by-step explanation:
if x=7 that would make y=3
7+3=10 and 7-3=4
7x7=49
3x3=9
49-9=40
Help plsssssssssssssssssssssssssssssssssssssssssss
Hehe it’s a test for y’all the best will get full marks and 100 points with brainly
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Make me as brain liest
USE THE CLUES TO CRACK THE CODE
The digits of the code are 4,4, 0, and 2.
The number is less than 1.
The value of the thousandths digit is
value of the hundredths digit.
the
10
Answer:
Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.
pls help
Which of the sets of ordered pairs represents a function? (5 points)
A = {(3, −5), (4, 6), (−3, 9), (2, 7)}
B = {(2, 4), (−1, −7), (5, 6), (4, 3)}
i need serious help guys!!!!!!
Answer:
b.
Step-by-step explanation:
can someone help me with this i am so confused
Answer:
HGI = 30
b/ce they are Vertically opposite angles
JGH = FGI
Answer:
1: Angle HGI is 30 degrees, Angle FGI is the same as JGH
Hope that helps. Brainliest is appreciated if it did!
If the slope of a line and a point on the line are known, the equation of the line can be found using the slope-intercept form, y = mx + b. To do so, substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b. Using the above technique, find the equation of the line containing the points (-4,7) and (2,-2).
What is the equation of the line?
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
Answer:
y=-3/2x+1
Step-by-step explanation:
NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.
Step 1: plot your 2 known points.
Step 2: draw a line that goes between both points
Step 3: find the distance of the points in RISE/RUN format.
-9/6. The slope is negative because the line goes down to the right.
Step 4: find your y-intercept.
1.
Step 5: simplify your equation
-9/6 = -3/2
a 450-square-foot apartment in new york city costs $540,00 what is the price per square foot?
Answer:
$1200
Step-by-step explanation:
Let cost of 1 square foot be x
So, Cost of 450 square feet = 450x
We are given that A 450-square-foot apartment in New York City cost $540,000.
So, 450x = 540000
x= [tex]\frac{540000}{450}[/tex]
x= 1200
Cost of 1 square foot = $1200
Hence the price per square foot is $1200
3x(5+4)=7
what dose that =
answer my sister need help
Answer:
1. B 1/3
2. C 12
1) 1/3
2) 12
ur welcome:)
Solve the Expression
5-(2*8)+14=
Answer:
3
Step-by-step explanation:
5-(2*8)+14=
Parentheses first
5-16+14=
Then add and subtract from left to right
-11 +14
3
A good first
step to solve
4(X-9)=36
would be
to
Answer:
Use the distriputive property which would give you:
4x-36=36
Step-by-step explanation:
help ill give brainly
Answer:
The answer would be 26%
Step-by-step explanation:
Answer:27
i think that 27 is the answer