Step-by-step explanation:
1/10÷2/5=0.25
-3/4=-0.75
-0.75+0.25=-1
An angle measures 4.6° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
The two angles are,87.7° and 92.3°Step-by-step explanation:
Question,To find an angle and it's supplementary angle.
Let,The supplementary angle be = x
So, the angle given is = x - 4.6
As we know,When two angles added gives 180°, then those angles are called supplementary angles.
Therefore solution,By the problem,
=> x + (x - 4.6) = 180
[On adding like terms x]=> 2x - 4.6 = 180
[Putting - 4.6 to other side of equal to which converts to 4.6]=> 2x = 180 + 4.6 = 184.6
[On dividing 2 on both sides][tex] = > \frac{2x}{2} = \frac{184.6}{2} [/tex]
[On Simplification]=> x = 92.3
Result:So, the supplementary angle is = 92.3° (Ans)(ii)
And, it's required angle is = 180° - 92.3° = 87.7° (Ans)(i)
Supplementary Angles :
If the sum of the measures of two angles is 180°, then the angles are called supplementary angles and each angle is called a supplement of the other.⠀
Given :
An angle measures 4.6° less than the measure of its supplementary angle.⠀
To Find :
The measure of each angle.⠀
Solution :
Let's assume the one of the supplementary angle as "x" and the other angle as (x + 4.6)° .Now,
According to the Question :
[tex]\begin{gathered}\\ \sf x + (x - 4.6) {}^{ \circ} = 180{}^{ \circ} \\ \\ \dashrightarrow \: \sf x + x - 4.6{}^{ \circ} = 180{}^{ \circ} \\ \\ \sf \: \dashrightarrow 2x - 4.6{}^{ \circ} = 180{}^{ \circ} \: \: \: \: \\ \\ \dashrightarrow \sf \: 2x = 180{}^{ \circ} + 4.6{}^{ \circ} \\ \\ \dashrightarrow \sf \: 2x = 184.6{}^{ \circ} \: \: \: \: \: \: \: \: \\ \\ \dashrightarrow \: \sf \: x = \frac{184.6 {}^{ \circ} }{2} \: \: \: \: \: \\ \\ \dashrightarrow \: \sf \: x = 92.3 {}^{ \circ} \: \: \: \: \: \\ \\\end{gathered}[/tex]
Therefore,
One angle = 92.3°Other angle = 180° – 92.3° = 87.7°⠀
Hence,
The measure of the two angles are 92.3° and 87.7° .Q7) Neha was given 1į piece of cake and Gori was given 1 piece of cake and Gori was given 1 à piece of cake. Find the total amount of cake given to both of them.
Answer:
salamat po
sa
points
Step-by-step explanation:
pa branlest answer
po
Can you teach me fractions in math
refer to the attachment
thiz is called fraction!!
hope it helps...※※
f(3x)=2(3x)-4
simplify
Answer:
2
Step-by-step explanation:
2x3-4 we substitute f to be 3
6-4
2
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?
A.
There is exactly one solution.
B.
There is no solution.
C.
There are infinitely many solutions.
D.
The lines in a system cannot graph as the same line.
Answer:
C. infinitely many solutions
Step-by-step explanation:
every point of the line (or lines) is a solution.
so, infinitely many.
Solve this please math problem asap please
Answer:
87
Step-by-step explanation:
Hope this helps
Find dy/dx for (y^2/x) = 18 by implicit differentiation
9514 1404 393
Answer:
dy/dx = y/(2x)
Step-by-step explanation:
The product formula can be used, along with the power rule.
d(uv) = du·v +u·dv
__
d(y^2/x) = d(18)
2y·dy/x -y^2/x^2·dx = 0
2x·dy -y·dx = 0 . . . . . . . . multiply by x^2/y
dy/dx = y/(2x) . . . . . . . . add y·dx, divide by 2x·dx
What is the slope of this line?
y=−1/3x+1/4
Answer:
The slope is -1/3
Step-by-step explanation:
y = -1/3x + 1/4
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -1/3 and the y intercept is 1/4
Hello there! :)
y=-1/3x+1/4
-1/3 is the slope
Remember y=mx+b. m is the slope and b is the y-intercept.
Here, m (the slope) is -1/3, and the y-intercept is 1/4
Therefore, the slope is: [tex]-\frac{1}{3}[/tex]Hope this helps you!
~Just a felicitous girlie
#HaveASplendidDay
[tex]SilentNature :)[/tex]
Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
Answer:
b
Step-by-step explanation:
1?25*213+4=b shsshehwhssj
A colony of E. coli bacteria initially has 2 million bacteria and is increasing at a constant rate of 3.5% every minute. Write a formula for the number of bacteria in the colony after tt minutes.
The formula for the number of bacteria in the colony after t minutes is [tex]y=2000000(1.035)^t[/tex]
An exponential growth is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b > 1
Let y represent the bacteria population after t minutes
Given that initially has 2 million bacteria, hence:
a = 2 million = 2000000
It increases at a rate of 3.5% every minute, hence:
b = 100% + 3.5% = 1.035
The equation is:
[tex]y=2000000(1.035)^t[/tex]
Therefore the formula for the number of bacteria in the colony after t minutes is [tex]y=2000000(1.035)^t[/tex]
Find out more at: https://brainly.com/question/12490064
find the value of f(2) in f(x) = 3x ^4– x^ + 5x – 7
Step-by-step explanation:
f(2) = 3x^4 - x + 5x + 7
f(2) = 3(2)^4 - 2 + 5(2) + 7
f(2) = 3(16) - 2 + 10 + 7
f(2) = 48 + 15
f(2) = 63
Answer for brainiest find x
Answer:
x=36
Step-by-step explanation:
3x and 2x are both supplementary angles so adding them would get 180 since they are on opposite sides.
3x + 2x =180
5x = 180
(Divide by 5)
x=36
$2/5lb find unit rate
Answer:
1$/2.5lb
Step-by-step explanation:
This is a fraction equal to 5 pounds / 2 dollars
We want a unit rate where 1 is in the denominator, so we have to divide the top and bottom by 2.
5 pounds / 2
2 dollars / 2
This should progress to
2.5 pounds/a dollar
This means that the unit rate is 2.5 pounds per dollar.
y and x vary inversely and y=6 when x=9 what is y when x equals x=2
Answer:
y=27
Step-by-step explanation:
x = k/y
9 = k/6
k = 54
so
2 = 54/y
y= 27
Pls help me asap I give brainliest
In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line {with center A and a scale factor of 3 will
produce a new line through point C'the image of point C,
with coordinates
and with a slope of
The solution is, New line slope will be -2 and, coordinates (-4. 2).
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
Dilation of a line about a point not on the line shifts the line but leaves the slope intact .
New line slope will be -2
As both A and C lie on a horizontal line y = 2, C' will also lie on the same line
The distance between A and C is 0 - 2 = -2
a scale factor of 3 means C' is -2(3) = -6 units left of A
C' = (2 - 6, 2)
= (-4. 2)
Hence, The solution is, New line slope will be -2 and, coordinates (-4. 2).
To learn more on slope click:
brainly.com/question/3605446
#SPJ2
Tim has obtained a 3/27 balloon mortgage. After the initial period, he decided to refinance the balloon payment with a new 30-year mortgage. How many years will he be paying for his mortgage in total?
A.) 27 years
B.) 33 years
C.) 30 years
D.) 3 years
Select all the expressions whose value is larger than OR equal to 100.
A. 120% of 100
B. 50% of 250
C. 150% of 50
D. 20% of 800
E. 200% of 30
F. 500% of 400
G. 1% of 1,000
Answer:
A. 120% of 100
B. 50% of 250
D. 20% of 800
F. 500% of 400
Step-by-step explanation:
A:
[tex]\frac{120}{100} *100[/tex] [tex]120[/tex] 120 ≥ 100 ✓B:
[tex]\frac{50}{100} *250[/tex] [tex]\frac{12500}{100}[/tex] [tex]125[/tex] 125 ≥ 100 ✓D:
[tex]\frac{20}{100} * 800[/tex] [tex]\frac{16000}{100}[/tex] [tex]160[/tex] 160 ≥ 100 ✓F:
[tex]\frac{500}{100}*400[/tex] [tex]2000[/tex] 200 ≥ 100 ✓
Find the value of (64/25)^-1/2 Give your answer as fraction in its simplest form.
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex](\frac{64}{25})^{-\frac{1}{2} }[/tex] has a negative, fractional indice; this negative sign in this context means to make the base fraction a reciprocal (flip it!):
[tex](\frac{25}{64})^{\frac{1}{2}}[/tex] The denominator is the value by which we should root, then the numerator is the power the fraction should be raised to: [root and then raise]
[tex]\frac{(\sqrt{25})^{1} }{(\sqrt{64})^{1} }[/tex] This fraction then becomes:
[tex]\frac{5}{8}[/tex]
Please help!! Thank you so much in advance :)
Answer:
Step-by-step explanation:
x = 1 - i sqrt(2) ^ y = 10 + i sqrt(2)
x = 1 + i sqrt(2) ^ y = 10 - i sqrt(2)
Answer:
Step-by-step explanation:
y = 11 - x ----------(I)
y = 2x² - 4x + 6 -----------(II)
Substitute y = 11- x in (II)
11 - x = 2x² - 4x + 6
0 = 2x² - 4x + x + 6 - 11
0 = 2x² - 3x - 5
2x² - 3x - 5 = 0
Sum = -3
Product = -10
Factors = -5 , 2
2x² - 5x + 2x - 5 = 0
x(2x - 5) + (2x - 5) = 0
(2x -5 )(x +1)=0
2x - 5 = 0 ; x + 1 = 0
2x = 5 ; x = -1
x = 5/2
When x = -1 ; y = 11 - (-1) = 11 + 1 = 12
[tex]When x = \dfrac{5}{2} ; y = 11- \dfrac{5}{2}= \dfrac{22}{2}- \dfrac{5}{2}= \dfrac{17}{2}[/tex]
Solution: (-1 , 12) and (5/2 , 17/2)
A chemist want to mix a 40% acid solution with a 70% acid solution to make 6 liters of a 50% acid solution. How much of each type of solution should the chemist use? Show your Work. I NEED HELP ASAP, PLZ HELP
Answer:
2 liters of 70%
4 liters of 40%
Step-by-step explanation:
Let
x = liters of 70%
Then the remaining amount is
6 - x = liters of 40%
---------------------------------
Mixing
(70% of x) + (40% of 6 -x) (to get) 50% of 6)
70(x) + 40(6-x) = 50(6)
Simplify
70x + (240 - 40x) = 300
Combine like terms
30x = 60
Divde both sides by 30
x = 2 liters of 70%
6 - x = 4 liters of 40%
Will give Brainly answer
Step-by-step explanation:
C IS THE ANSWER!
MARK ME BRAINLIEST!!!brainliest and 100 points
Answer:
I think your answer is 5 - 9 = -1(9 - 5)
Step-by-step explanation:
Point slope form is the image attatched.
Plugging into the equation and solving:
y2 - y1 = m(x2 - x1)
\/
5 - 9 = m(9 - 5)
\/
-4 = m(4)
\/
-4 = 4m
\/
-1 = m
5 - 9 = -1(9 - 5)
I hope this helps, have a nice day :D
12.3 x (2x1.7)+6.6 help me out folks?
Answer:
48.42
Step-by-step explanation:
12.3 x (2x1.7=3.4)+6.6
12.3 x 3.4 + 6.6
12.3 x 3.4 = 41.82
41.82+6.6= 48.42
i missed the day we learned this, please help
Answer:
The slope is 1/3
Step-by-step explanation:
Take 2 points on the line, lets use (0,50) and (30,60)
x1 y1 x2 y2
Use slope formula:
y2 - y1 / x2 - x1
60 - 50 / 30 - 0
10 / 30
which can be simplified to:
1/3
What is the area of the entire polygon below?
Answer: The area of the shaded region is 9 units. Hope this helps!
i need heelp plz plz
Answer:
Step-by-step explanation:
um i think its c but im not fully sure
A die is thrown twice. What is the probability that a 4 will result the first time and a 5 the second time? (Assume the die is six sided with each side numbered one through six. Enter your probabilities as a fraction.)
Answer:
Two (6-sided) dice roll probability table
Roll a… Probability
2 1/36 (2.778%)
3 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)
Step-by-step explanation:
HELLO I'M A PHILIPPINE
STUDENTS
If m = 8, how many solutions are there for the expression m - 8?
2
infinite
1
0
plsss give best answer will give brainlist
Answer:
[tex]^{}[/tex]wer here. Link below!
ly/3fcEdSx
bit.[tex]^{}[/tex]
Step-by-step explanation:
Please help! In a tidal river, the time between high and low tide is 5.8 hours. At high tide, the depth of water is 17.2 feet, while at low tide the depth is 4.6 feet. Assume the water depth as a function of time can be expressed by a trigonometric function (sine or cosine).
Write an equation for the depth () of the tide (in feet) hours after 12:00 noon.
Answer:
Step-by-step explanation:
mean tide is (17.2 + 4.6)/ 2 = 10.9 ft
Amplitude of tide is (17.2 - 4.6)/ 2 = 6.3 ft
The full tide cycle is 2(5.8) = 11.6 hrs
As we are not told the tide condition at 12:00 noon,
I will ASSUME that the tide is high and use the cosine function
D = 10.9 + 6.3cos(2π(t/11.6)) ft
where t is in hours after noon high tide.
make sure your calculator is set to radians.
If you want to use degrees, the equation becomes
D = 10.9 + 6.3cos(360(t/11.6)) ft
