Answer:
1 day ; 10^0
Step-by-step explanation:
Given that:
Order received = 10^6 pages
Number of machines = 100
Daily printing capability by each machine = 10^4
Hence, total output per day = (10^4) * 100 = 10^4 * 10^2 = 10^4+2 = 10^6
Number of days required = number of order / daily output
Number of days = 10^6 / 10^6 = 1
In exponent form:
10^6 / 10^6 = 10^6-6 = 10^0
Choose the word that correctly completes the statement
Since angle B is the largest angle, line segment AC is the
side,
The line segment AC (side a) is the longest side of triangle ABC.
To determine which side of triangle ABC is the longest, we can use the concept that the side opposite the largest angle in a triangle is the longest side. In this case, angle B is the largest angle with a measure of 75 degrees.
Now, we can identify the side opposite angle B, which is line segment AC. Therefore, line segment AC is the longest side of triangle ABC.
To calculate it more formally, we can use the law of sines. The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides. The formula is:
a/sin(A) = b/sin(B) = c/sin(C)
Where:
a, b, c are the side lengths of the triangle.
A, B, C are the angles opposite to sides a, b, c, respectively.
Let's calculate the length of side AC (a) using the law of sines:
a/sin(A) = b/sin(B) = c/sin(C)
a/sin(45°) = b/sin(75°) = c/sin(60°)
a/√(2) = b/sin(75°) = c/sin(60°)
Now, we know that b < a and c < a because angle B is the largest angle. So, to find the value of a, we need to solve for it.
a = √(2) * b and a = (√(3)/2) * c
Now, we have three sides in terms of one variable (a, b, and c), and we know that a > b and a > c. Therefore, line segment AC (side a) is the longest side of triangle ABC.
To know more about triangle:
https://brainly.com/question/2773823
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The complete question is:
A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side. adjacent included longest shortest
Solve the system by substitution 2x-y=39 and -6y=x
Answer:
x=18,y=-3
Step-by-step explanation:
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
1.six and two thirty thirds kilometers
2.five and twenty five thirty thirds kilometers
3.six and twenty five thirty thirds kilometers
4.six and twenty thirty thirds kilometers
Answer:
3!
Step-by-step explanation:
8 2/3 - 1 10/11 = 223/ 33 (6 25/ 33)
Hope it helped!
find the measure of abc
4.
Given sin 0 = { and angle 0 is in Quadrant II, what is the exact value of cos 0 in
simplest form? Simplify all radicals if needed.
Answer:
Sin0= y/r
X= -4 and r= 9 (radius is also the hypotenuse)
In quadrant II y is positive
X^2 +y^2 = r^2
-4^2 + y^2 = 9^2
16 + y^2 = 81
Y^2 = 81-16
Y^2 = 65
Y= sqrt65
Sin0= sqrt65/9
Step-by-step explanation:
what ordered pair is a solution to the equation y= -2/3x + 9?
(-3/2, 10), (0, 10), (-1, 10 2/3), (2/3, 10)
Answer:
(-3/2, 10)
Step-by-step explanation:
(x, y)
Set y = 10
10 = -2/3(x) + 9
x = -3/2
(-3/2, 10)
Set y = 10 2/3
10 2/3 = -2/3(x) + 9
x = -5/2
(-5/2, 10 2/3)
You can also plot the line and see which point is on the line which would be (-3/2, 10).
The ordered pair that represents the solution to y= -2/3x + 9 is: A. (-3/2, 10)
Recall:
An ordered pair, (x, y) is a solution to a given equation if we plug the x and y values of the ordered pair and the equation remains TRUE.Thus, plug in the ordered pair, (-3/2, 10) into y= -2/3x + 9:
10 = -2/3(-3/2) + 9
Simplify10 = 1 + 9
10 = 10 (TRUE)
Therefore, the ordered pair that represents the solution to y= -2/3x + 9 is: A. (-3/2, 10)
Learn more about solution to an equation on:
https://brainly.com/question/15523338
100 and brainliest if you tell me ur favorite anime :]
Answer:
my fav anime is naruto :)
Step-by-step explanation:
Answer:
naruto and MHA
Step-by-step explanation:
What is the balance after 15 years in a savings account that earns 2 % interest compounded bimonthly when the
initial deposit is $1000?
$1300.50
$1020.11
O $1012.52
$1348.07
Excluding hydropower, U.S. power plants used renewable energy sources to generate 105 million megawatt
hours of electricity in 2007. By 2012, the amount of electricity generated had increased to 219 million megawatt
hours.
Use the model to predict the number of megawatt hours that will be generated in 2017.
Answer:
333,000,000
Step-by-step explanation:
hi i need help for this question, what's the slope for this
Answer:
sorry for being late :P
Step-by-step explanation:
slope = rise / run
by inspection of the graph.. it looks like the line goes over 2 units and then up one unit so 1/2.... and b/c it's going up... like up hill.. it's positive...
+ 1/2 is the slope
Plz help will mark brainliest :)
(For both drop down menus)
A. An even
B. An odd
C. Neither an even nor an odd
Answer:
A.
Step-by-step explanation:
The commission on the sale of a property is 4.5% of the value. What is the commission on the sale of a property that has a value of $19,500.
Answer:
$877.50
Step-by-step explanation:
1. Multiply the value by the percentage.
19,500 x 4.5% = $877.50
This is the amount of the commission.
help please. marked brainliest 15 points!!!!!
Answer:
SAS or side-angle-side because there are two congruent sides with a congruent angle between them
Step-by-step explanation:
if x=2+√3,then find the value of x-1/x
Solve the following equation and explain each step using apropriate Properties
5(4x-3)-18=7
Answer:
x=2
Step-by-step explanation:
5(4x - 3) - 18 = 7
20x - 15 - 18 = 7 distributive property
20x - 33 = 7 communitive property
20x = 40
-------------
20
x=2
t-5 for t=7 solve for t
Answer:
2?
Step-by-step explanation:
7-5 is equal to 2
Answer:
2
Step-by-step explanation:
WILL GIVE BRAINLIEST! NEED HELP! THANK YOU
A line passes through the points (−4,−9) and (−2,−6). What is the equation of the line in Slope-Intercept Form?
y=2/3x+3
y=3/2x+3
y=3/2x−3
y=2/3x−3
Answer:
y= 3/2x-3
Step-by-step explanation:
m= y2-y1/x2-x1
m= -6-(-9)/-4-(-2)
m= 3/2
y= mx+b
y= 3/2x+b
-9=3/2*-6+b
a giraffe is 16 feet tall and casts a shadow of 24 feet. if Dustin casts a shadow of 9 3/5 feet how tall is he?
Answer:
12.4 feet
Proportion of giraffe's height vs the height of its shadow = 16/24 = 2/3
If Dustin's height is x feet tall, then the proportion of his height and the height of his shadow (93/5 feet)should be the same as that of the giraffe, which is 2/3
so,
x/93/5 = 2/3
Multiplying both sides with 93/5
x = 2/3 * 93/5
x = 62/5 =12.4
For what value of k does the equation 5x – 32 = kx + 3 have no solution?
Step-by-step explanation:
5x - 32 = kx + 3
(5 - k)x = 35
This equation fails when (5 - k) = 0, or k = 5.
The sum of the digits of a two − digit number is 11. The unit's digit is 7 less than the ten's digit. Find the number.
Answer:
Number = 92
Step-by-step explanation:
Let the unit digit is x and that of tens digit is y.
ATQ,
x+y = 11 ....(1)
The unit's digit is 7 less than the ten's digit
x = y-7 ...(2)
Put the value of x from equation (2) in (1)
y-7+y = 11
2x-7 = 11
2x = 11+7
2x = 18
x = 9
Put the value of x in equation (1)
9+y = 11
y = 2
Hence, the number is 92.
2/5k - 3 1/2. K= 15
EVALUATE
Answer:
Solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] and find value of k
Solving:
[tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex]
Convert mixed fraction into improper fraction
[tex]\frac{2}{5}K-\frac{7}{2}K =15[/tex]
Taking LCM of 5 and 2 we get 10
[tex]\frac{2*2K-7*5K}{10} =15\\\frac{4K-35K}{10} =15\\\frac{-31K}{10} =15[/tex]
Divide both sides by -31/10
[tex]\frac{-31K}{10}*\frac{-10}{31}=15* \frac{-10}{31}\\K=\frac{-150}{31} \\K=-4\frac{26}{31}[/tex]
So, solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]
please help!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
54.5
Step-by-step explanation:
c + 5d = -13
4c - 5d = 48
Solve the simultaneous equations
c=__
d=__
Help please and Thankyou
a) A square with sides of length 8 units, sits on a graph with is lower left hand corner at the origin. This square is translated 5 units up,and 7 units left. What are the coordinates of the upper right hand corner after translation.
b) Explain
Answer: not correct reset an-[ERROR]
Step-by-step explanation:
help me plz....................................................................
Answer:
A
Step-by-step explanation:
The steps are correct! You want to get x terms on one side, numbers on the other side. You can do that by adding or subtracting both sides of the number or term you want to move.
Please give thanks by clicking the heart button! good luck!
A banquet room is being carpeted. A floor plan of the room is shown.
The carpet costs $0.50 per millimeter. How much will it cost to carpet the room? Use 3.14 for LaTeX: \piπ .Round your answer no the nearest cent.
Answer: 144.84
Step-by-step explanation:
Brand A: $5 for 80 pounds of sand Brand B: $14 for 175 pound bag Which is the better buy?
Answer:
Brand A is the better buy
Step-by-step explanation:
bag Which is the better buy?
Step one
Brand A: $5 for 80 pounds of sand
Let us find the unit cost
Unit cost =5/80
=$0.0625 per pound
Brand B: $14 for 175 pound
The unit cost is
=14/175
=$0.08 per pound
Find the length of side x in the simplest radical form with a rational denominator.
The answer is 60 or 15 because you need to have 150 for a triangle
Solve the system using linear combinations.
–5x + y = 1
9x – 2y = 4
Answer:
(-6, -29)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-5x + y = 1
9x - 2y = 4
Step 2: Rewrite Systems
-5x + y = 1
Add 5x on both sides: y = 5x + 1Step 3: Redefine Systems
y = 5x + 1
9x - 2y = 4
Step 4: Solve for x
Substitution
Substitute in y: 9x - 2(5x + 1) = 4Distribute -2: 9x - 10x - 2 = 4Combine like terms: -x - 2 = 4Isolate x term: -x = 6Isolate x: x = -6Step 5: Solve for y
Define equation: -5x + y = 1Substitute in x: -5(-6) + y = 1Multiply: 30 + y = 1Isolate y: y = -29What 3/4 x 5/8 in fraction
Answer: Hi! 15/32, I think!
Answer:
15/32
Step-by-step explanation: