Answer:
8/9
Step-by-step explanation:
(19-3)/(12-[-6])
16/18
8/9
Answer:
1/3
Step-by-step explanation:
Use a system of linear equations with two variables and two equations to solve. A number is 9 more than another number. Twice
the sum of the two numbers is 30. Find the two numbers. Let the two numbers be represented by x and y. Let y represent the
larger number. Write your answer as an ordered pair (x, y).
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Answer:
(x, y) = (3, 12)
Step-by-step explanation:
Using the given variable definitions, we can write the equations ...
y = x + 9
2(x +y) = 30
__
Solving the second equation for y, we have ...
y = 15 -x
Substituting this into the first equation gives ...
15 -x = x +9
6 = 2x . . . . . . . . . add x-9
3 = x . . . . . . . . . . divide by 2
y = 3+9 = 12 . . . . substitute into the first equation
The numbers are (x, y) = (3, 12).
I dont understand can someone help me ill mark brainliest
The segments shown below could form a triangle.
Answer:
False
Step-by-step explanation:
It's been a while since I did this but here we go:
So to find if the triangle lengths are possible, we take the shorter two lengths and we add them.
Those shorter two lengths sum have to be greater than the longest length.
I hope this helps.
solve for x. 8×-3=5(2×+1)
Answer:
x = -4
Step-by-step explanation:
8x - 3 = 5(2x + 1)
8x - 3 = 10x + 5
8x - 10x = 5 + 3
-2x = 8
x = 8/-2
x = -4
find the slope of the line
-6/1 it said i wont letme give u the answer unless i do this so ywahhhhhhhhh
Consider a square-based straight pyramid. Suppose that the base is a square with sides 10 km long, and all other edges are 17 km long. Find an approximate value of the angle formed between the base and a triangular face. Present your answer in degrees, accurate up to four or more decimal places.
Answer:
72.06
Step-by-step explanation:
Given that :
Side Lenght, a = 10
Edge length, b = 17
Using Pythagoras :
h = height of pyramid
h = sqrt (b² - 1/2a²)
h = sqrt(17^2 - 10^2/2)
h = sqrt(289 - 50)
h = 15.46
Slant height :
L = sqrt(h² + a²/4)
L = sqrt(15.46² + 25)
L = sqrt(239 + 25)
L = sqrt(264)
L = 16.25
Sinα = h/L
α = sin^-1 (15.46/16.25)
α = 72.060933
= 72.06
The approximate value of the angle formed between the base and a triangular face is 72.0775°.
Let [tex]h[/tex] be the distance between the center of the square base and the midpoint of the side of the square and let [tex]H[/tex] the height of the triangular face of the pyramid. By properties of the square and the Pythagorean theorem we derive expressions for [tex]h[/tex] and [tex]H[/tex], respectively:
Square base
[tex]h = 0.5\cdot L[/tex] (1)
Triangular face
[tex]H = \sqrt{l^{2}-0.25\cdot L^{2}}[/tex] (2)
Where:
[tex]L[/tex] - Side length of the square base, in kilometers.[tex]l[/tex] - Remaining side length of the triangular face, in kilometers.Finally, by trigonometry we can derive an expression for the angle between the base and a triangular face ([tex]\theta[/tex]), in sexagesimal degrees:
[tex]\theta = \cos^{-1} \frac{h}{H}[/tex] (3)
If we know that [tex]L = 10\,km[/tex] and [tex]l = 17\,km[/tex], then the angle between the base and a triangular face is:
[tex]h = 5\,km[/tex]
[tex]H = \sqrt{17^{2}-5^{2}}[/tex]
[tex]H \approx 16.248\,km[/tex]
[tex]\theta = \cos^{-1} \frac{5\,km}{16.248\,km}[/tex]
[tex]\theta \approx 72.0775^{\circ}[/tex]
The approximate value of the angle formed between the base and a triangular face is 72.0775°.
We kindly invite to check this question on pyramids: https://brainly.com/question/16303112
Round 1.18769843885 to 5 decimal places
Answer:
1.18770
Step-by-step explanation:
zzzzzzzzzzzzzzzzz
The rounding up of 1.18769843885 to 5 decimal places is 1.18770.
What is the rounding up of numbers in decimal places?The rounding up of numbers is an estimate that says if a digit is more than 5, that number can be considered as one and added to the next preceding number.
To round up a number in a decimal place, we need to start counting our decimal place after the decimal point.
Here,
we are to round 1.18769843885 to 5 decimal placesSo, 1.18769843885 becomes:
= 1.18770
Learn more about rounding up in decimal places here:
https://brainly.com/question/235613
#SPJ6
3x+6=36 ?????? ???????
Answer:
x=10
Step-by-step explanation:
What is the value of 3 in the figure shown below?
с
4.3
D
61
3
3
53
A
4.3
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Answer:
66
Step-by-step explanation:
Angle D (x°) is the same measure as angle A. The measure of angle A is that required to make the total of angles in ΔABC be 180°.
∠A = 180° -61° -53° = 66°
The value of x is 66.
4. MARBLES Virginia's
mother gave her marbles for
her birthday. Virginia lost 13
of them. If she has 24 marbles
left, write and solve an
equation to find how many her
mother gave her.
Answer:
37
Step-by-step explanation:
If she has 24 left, and lost 13, you add 13 and 24 to find the original amount.
Virginia's mother gave her 37 marbles for her birthday.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Virginia's mother gave her marbles for her birthday.
Let number of marbles = x
Here, Virginia lost 13 of them and she has 24 marbles left.
So, We get;
⇒ x - 13 = 24
Solve for x;
⇒ x = 24 + 13
⇒ x = 37
Thus, Virginia's mother gave her 37 marbles for her birthday.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
a line passes through the points (-6,4) and (-2,2) which is the equation if the line?
y=-1/2x +1
y=1/2x+ 7
y=-2x -8
y=2x +16
Answer:
y= -1/2x+1
Step-by-step explanation:
what is 2m + 2 =8? i have been wondering about this question alot
Answer:
Her u are asked to find the value of 'm'
We can do it by transposing values from LHS to RHS
Thus it will go like this
2m=8-2
2m=6
m=6/2
m=3
Answer:
2m=8-2
2m=6
m=6/2
m=3
can someone complete it all
Answer:
Here it is
Step-by-step explanation:
#1. 3:4
#2. 3 to 4
#3. 3/4
what are 3 equivalent fractions of 5/6
Answer:
Answer is 10/12 , 15/18 , 20/24 , 25/30 .
Step-by-step explanation:
1. 5/6 { Multiply both numerator and denominator with 2 }
5/6 = 10/12
2. 5/6 { Multiply both numerator and denominator with 3 }
5/6 = 15/18
3. 5/6 { Multiply both numerator and denominator with 4 }
5/6 = 20/24
4. 5/6 { Multiply both numerator and denominator with 5}
5/6 = 25/30
help me fast pls!!!
A model of the ocean floor takes up 2/5 of the space in an aquarium. If 3/8 of the model is coral, what fraction of the space in an aquarium is taken up by coral?
Answer:
The fraction of space taken by coral is 3/20 in the aquarium.
Step-by-step explanation:
The fraction of space taken by coral is C=3/8of2/5 in the aquarium.
•C=3/8.2/5=6/40=3/20
The fraction of space taken by coral is 3/20 in the aquarium.
I hope it's helpful!
Which of the following is true if YW is an angle bisector.
Answer:
Third option is the correct answer
Step-by-step explanation:
[tex] \angle XYW\cong \angle ZYW[/tex]
Answer:
Step-by-step explanation:
Angle XYW is congruent to angle ZYW
a line passes through the points (2,2) and (5,8). What is its equation in slope-intercept form?
Answer:
y=2x+6
Step-by-step explanation:
Slope of line is 2
Plug slope and first set of coords into point-slope intercept form
Can you help me do this or you can write it on a piece of paper to help as well!
Which statement about the angles in the figure is true?
Helppp
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Answer:
m∠1 +m∠8 = 90°
Step-by-step explanation:
There is no necessary sum relation between angles 3 and 5 or angles 7 and 10. The only thing you can say about those angle pairs is ...
∠3 + 90° = ∠5
∠10 +90° = ∠7
Angles 8 and 9 are congruent, so don't have any necessary sum.
Angle 1 is congruent with angle 3, which is complementary to angle 8, so we must have ...
m∠1 +m∠8 = 90°
64 is 128% of what number?
Answer:
64 is 128% of 50
Step-by-step explanation:
The answer is 50!
I used a calculator.
1. 0.5.
2. 50
3. 81.92
4. 2
Brayden was out at a restaurant for dinner when the bill came. His dinner came to $22. After adding in a tip, before tax, he paid $28.60. Find the percent tip.
Answer:
Step-by-step explanation:
Your answer
Price = 22$
TIP IN PRICE = 28.6$
Tip in discount = 30%
Mark it as Brainlist answer. Follow me.
Answer
Step-by-step explanation:
What is 10 to the power of 18
Answer:
1e+18
Step-by-step explanation:
The point M is the midpoint of LN where M(-12, 6) and N (-2,-5).
What are the coordinates of point L?
Answer:
(-22,17)
Step-by-step explanation:
Finding X co-ord for L:
M=x2-x1/2
-12=x2-2/2
-24=x2-2
-22=x2
Finding Y co-ord for L:
M=y2-y1/2
6=y2-5/2
12=y2-5
17=y2
Solve for y 35 = 11y
Answer:
y=35/11
or
3.18 repeating
Step-by-step explanation:
Answer: 3.18181818182y
Step-by-step explanation:
You would do 11y divided by 11. Then 35 divided by 11.
That would get you 3.18181818182=y
Please help will mark brainlist .
Distribute – 2x (-1 + 3x).
Answer:
4x
Step-by-step explanation:
2x(-1+3)
distributive property: -2x+6x
-2x+6x=4x
Based on what you've read, answer the following
1. What's the temperature change?
a. 35° F to 72° F
b. 40° F to 21° F
c. 120° F to 250° F
d. 15° F to 68° F
Answer:
a.+37 b.-19 c.+130 d.+43
Step-by-step explanation:
a.72-35 b.21-40 c.250-120 d,68-15
A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 3 L/min. If the concentration of salt in the brine entering the tank is 0.2 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.1 kg/L?
Answer:
a. [tex]m(t) = 26.67 - 26.67e^{-0.03t}[/tex] b. 7.44 s
Step-by-step explanation:
a. If the concentration of salt in the brine entering the tank is 0.2 kg/L, determine the mass of salt in the tank after t min.
Let m(t) be the mass of salt in the tank at any time, t.
Now, since a brine solution flows in at a rate of 4 L/min and has a concentration of 0.2 kg/L, the mass flowing in per minute is m' = 4 L/min × 0.2 kg/L = 0.8 kg/min
Now, the concentration in the tank of volume 100 L at any time, t is m(t)/100 L. Since water flows out at a rate of 3 L/min, the mass flowing out per minute is
m(t)/100 × 3 L/min = 3m(t)/100 kg/min
Now the net rate of change of mass of salt in the tank per minute dm/dt = mass flowing in -mass flowing out
dm/dt = 0.8 kg/min - 3m(t)/100 kg/min
So, dm/dt = 0.8 - 0.03m(t)
The initial mass of salt entering m(0) = 0 kg
dm/dt = 0.8 - 0.03m(t)
separating the variables, we have
dm/[0.8 - 0.03m(t)] = dt
Integrating, we have
∫dm/[0.8 - 0.03m(t)] = ∫dt
-0.03/-0.03 × ∫dm/[0.8 - 0.03m(t)] = ∫dt
1/(-0.03)∫-0.03dm/[0.8 - 0.03m(t)] = ∫dt
-1/0.03㏑[0.8 - 0.03m(t)] = t + C
㏑[0.8 - 0.03m(t)] = -0.03t - 0.03C
㏑[0.8 - 0.03m(t)] = -0.03t + C' (C'= -0.03C)
taking exponents of both sides, we have
[tex]0.8 - 0.03m(t) = e^{-0.03t + C'} \\0.8 - 0.03m(t) = e^{-0.03t}e^{C'}\\0.8 - 0.03m(t) = Ae^{-0.03t} A = e^{C'}\\0.03m(t) = 0.8 - Ae^{-0.03t}\\m(t) = 26.67 - \frac{A}{0.03} e^{-0.03t}\\when t = 0 \\m(0) = 0\\m(0) = 26.67 - \frac{A}{0.03} e^{-0.03(0)}\\\\0 = 26.67 - \frac{A}{0.03} e^{0}\\26.67 = \frac{A}{0.03} \\\frac{A}{0.03} = 26.67\\\frac{A}{0.03} = 6.67\\A = 26.67 X 0.03\\A = 0.8\\m(t) = 26.67 - \frac{A}{0.03} e^{-0.03t}\\\\m(t) = 26.67 - \frac{0.8}{0.03} e^{-0.03t}\\[/tex]
So, the mass of the salt after t min is
[tex]m(t) = 26.67 - 26.67e^{-0.03t}[/tex]
b. When will the concentration of salt in the tank reach 0.1 kg/L?
When the concentration of the salt reaches 0.1 kg/L, m(t) = 0.1 kg/L
Solving the equation for t,
[tex]m(t) = 26.67 - 6.67e^{-0.03t}\\0.1 = 26.67 - 26.67e^{-0.03t}\\26.67e^{-0.03t} = 26.67 - 0.1\\26.67e^{-0.03t} = 26.57\\e^{-0.03t} = 26.56/26.67\\e^{-0.03t} = 0.9963\\[/tex]
taking natural logarithm of both sides, we have
-0.03t = ㏑0.9963
-0.03t = -0.0038
t = -0.0038/-0.03
t = 0.124 min
t = 0.124 × 60 s
t = 7.44 s
Help pls I mark brainliesy
Answer:
no sé jajajajajajjajajajaja
What is the value of X in this question?? I need help please!
Answer:
The value of x would be 23
Step-by-step explanation:
You must first find the angles of triangle CDE. So to find angle C you must know that a straight line is equal to 180 degrees, 180-117=63 So angle C would be 63 degrees. Angle D is congruent to Angle B so Angle D would equal 24 Degrees. Then to find the angle of Angle E simply subtract 87 from 180 (You Get 87 From Adding 24 and 63), 180-87=93. Know that you know that Angle E is 93 Degrees set up the equation, 4x+1 = 93 SOLVE.
4x+1=93
4x = 92
x = 23.