Answer:
47.4°, 132.6°
Step-by-step explanation:
Given the difference of two angles is 85.2° and their sum is 180°, you want to find their measures.
SetupLet the smaller angle be represented by x. Then the larger angle is (x +85.2). Their sum is ...
x +(x +85.2) = 180
SolutionSimplifying the equation, we get ...
2x +85.2 = 180
2x = 94.8 . . . . . . . . subtract 82.5
x = 47.4 . . . . . . . divide by 2
x +85.2 = 132.6
The two angles are 47.4° and 132.6°.
5x - 7 > 8 ?? what is the answer solve the inequality
Answer:
Step-by-step explanation:
Explanation:
This can be rewritten as
−
18
<
5
x
+
7
<
2
To solve this, isolate
x
. The first step will be subtracting
7
. However, subtract
7
from all parts of the inequality.
−
18
−
7
<
5
x
+
7
−
7
<
2
−
7
Which yields
−
25
<
5
x
<
−
5
Now, divide each part by
5
.
−
5
<
x
<
−
1
wolframalpha.com
Answer:
x>3
Step-by-step explanation:
Thats all hope this helps.
2) a number v divided by 12
14. A certain real estate agent uses what he calls a step- strategy to sell houses. He puts a house on the market at a higher-than - expected selling price and if it hasn't sold in two weeks, he drops the price by 5%. If it still hasn't sold in another 2 weeks , he drops the price by another 5 %. After that , he continues to drop the price by 3% every two weeks until it reach es a cut -off amount assigned by the home owner , or the house sells , whichever comes first . If a house is originally listed at $200,000 and the homeowner sets a cut -off amount of $166,000 , what is the final selling price given that the house sells after being on the market for 9 weeks ? A ) $162,901.25 B) $164,737.48 $166,000.00 D ) $169,832.45
Answer:
vvvyaz
Step-by-step explanation:
szahvzlvzlz
(23)n=(1111)2 what is the value of n
Answer:
Hello,
n=6
Step-by-step explanation:
1111 in binary is 15 in décimal
(23) base n=15 ==>
2*n+3=15
2n=12
n=6
Answer this question please
The solution to the inequality is w ≥ 470 or w ≤ 530
How to determine the solution to the inequality?The given parameters are:
Number of words = 500
Absolute deviation = 30
Acceptable number of words = w
The absolute value inequality is represented as
|w - Number of words| ≥ Absolute deviation
So, we have
|w - 500| ≥ 30
Remove the absolute bracket
So, we have
w - 500 ≥ -30 or w - 500 ≤ 30
Add 500 to both sides of the inequality
So, we have
w ≥ 470 or w ≤ 530
Hence, the solution to the inequality is w ≥ 470 or w ≤ 530
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Kim drew a map of Mississippi Rive. The scale was 5 centimeters represents 120 mikes. Th as tusk length is 2320 miles. What is actual length in centimeters of the Mississippi River?
The actual length of the river on centimetres is 97 centimetres
How to find the length of the Mississippi River using the scale?The scale was 5 centimetres represents 120 miles.
Therefore, on the scale
5 centimetres = 120 miles
Now, let's find the length in centimetres if the river is measured as 2320 miles.
120 miles = 5 centimetres
2320 miles = ?
cross multiply
actual length of the river in centimetres = 2320 × 5 / 120
actual length of the river in centimetres = 11600 / 120
actual length of the river in centimetres = 96.6666666667
actual length of the river in centimetres = 97 centimetres.
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Find all real solutions of the equation, rounded to two decimals. (Enter your answers as a comma-separated list.)
x^4 − 4x^2 + 2 = 0
The real solution of the equation are +0.77, -0.77, +1.85, -1.85.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
x^4 − 4x^2 + 2 = 0
(x²)² - 4x² + 2 =0
let us consider y= x², then the above equation become
y² - 4y + 2 =0
On further solving for 'y' we have
y= -b±√(b² -4ac) / 2a
y= 4±√(16-8)/2
y=4±2√2/2
y= 2 + √2, y=2-√2
Now, y= x²
x² = (2 + √2), x²= 2-√2
x= +1.8477, -1.8477 , +0.7653, -0.7653
x= +0.77, -0.77, +1.85, -1.85
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what is the perimeter of (-2,1) (3,1) (3,-1) (-2,-1)
Answer:
14
Step-by-step explanation:
Given the points (-2,1), (3,1), (3,-1), and (-2,-1) that are the vertices of a quadrilateral, you want to find the perimeter.
PerimeterThe perimeter of a plane figure is the sum of the lengths of its sides. When you plot these points, you see they define a rectangle with horizontal sides of length (3-(-2)) = 5, and vertical sides of length (1 -(-1)) = 2. There are two sides of each of these lengths, so the perimeter is ...
P = 2(L+W) = 2(5 +2) = 2(7)
P = 14
The perimeter of the figure is 14 units.
__
Additional comment
When trying to work out measures associated with a set of points, it is often useful to graph those points.
You're a manager in a company that produces rocket ships. Machine A and Machine B both
produce cockpits and propulsion systems. Machine A ran for 22 hours and produced 3 cockpits
and 5 propulsion systems. Machine B ran for 44 hours and produced 6 cockpits and 10
propulsion systems.
Assume both machines produce cockpits at the same rate and both produce propulsion systems
at the same rate.
Step-by-step explanation:
so, what's the question ?
I don't need to "assume" that both machines have the same rate. it is clearly written there :
A produces in 22 hours 3 cockpits and 5 propulsion systems.
and B produces in twice the time (44 hours) twice the results (6 cockpits, 10 propulsion systems).
that means they have exactly the same production rate for both products.
so, this is confirmed. but what should we do now with this information ?
Answer:
C - No; the system has many solutions
Step-by-step explanation:
I just got it right on khan.
(x)/(p)+(x)/(q)=s solve for x
Answer:
x = s/(1/q + 1/p)
Step-by-step explanation:
Solve for x:
x/p + x/q = s
Collect in terms of x:
x (1/q + 1/p) = s
Divide both sides by 1/q + 1/p:
Answer: x = s/(1/q + 1/p)
What are the scale factors
Answer:
10 if going from the smallest to the largest or 1/10 if going from the smallest to the largest.
Step-by-step explanation:
Let s = scale factor
10s = 100 Divide both sides by 10
s = 10
Can someone please help me does anyone know the rest of the problem I can’t sloved please help
The equation of the given function will be h=-0.096x+30.6. The mass will be 63.5 grams.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is y-intercept.
1.) The slope of the given function will be,
Slope = (25.8 - 30.6) / (50 - 0) = -4.8/50 = -0.096
Now, substitute the values in the general linear equation,
h = -0.096x + c
30.6 = -0.096(0) + c
c = 30.6
Therefore, the equation of the given function will be h=-0.096x+30.6.
2.) Mass when the height is given as 24.5 cm, will be,
h = -0.096x + 30.6
24.5 = -0.096x + 30.6
24.5 - 30.6 = -0.096x
-6.1 = -0.096x
x = -6.1/-0.096
x = 63.5
Hence, the mass will be 63.5 grams.
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Test coming up need your help.
The linear equation that represents the number of pages that Lourdes still need to read will be y = y = 30x + 3/5y.
How to illustrate the information?It should be noted that an equation is used to show the relationship between the variables. It should be noted that the person is reading a biography.
It should be noted she reads 30 pages each day and after 9 days, he has read 3/5 of the pages.
Therefore, the linear equation that represents the number of pages that Lourdes still need to read will be:
y = (30 × x) + (3/5 × y
y = 30x + 3/5y.
Finally, this is the linear equation representing the pages that Lourdes read.
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Two positive integers that differ by 9 are in the ratio of 8 to 11. What is the value of the smaller of the two numbers?
The numbers are 24 and 33 so the smaller one is 24
Answer:
24 and 33 are the numbers among which 24 is the smallest.
Step-by-step explanation:
Let one positive integer be x, then another will be x - 9
Solve:
[tex]\sf \dfrac{x-9 }{x} = \dfrac{8}{11}[/tex]
cross multiply
[tex]\sf 11x-99= 8x[/tex]
collect like terms
[tex]\sf 11x-8x = 99[/tex]
simplify
[tex]\sf 3x = 99[/tex]
divide both sides by 3
[tex]\sf x = 33[/tex]
As the integer is positive, x = 33, then another will be 33 - 9 = 24.
convert the radio to a percent
Answer:
62.5%
Step-by-step explanation:
We only have the measurement of 2 corresponding sides AE and A'E'. We are going from the large to the small.
Let x = the scale factor
4x = 2.5 Divide both sides by 4
x = .625 to change that to a decimal multiply by 100
.625 x 100 = 62.5%
Jasmine used the number line to find the distance between 0 and 5. what was Jasmine’s error
1.jasmine should have counted from 5 to 0
2.jasmine started with the wrong integer.
3.jasmine gave a negative answer for distance.
4. Jasmine ended with the wrong integer.
The correct answer is option c.
Jasmine gave a negative answer for distance.
The number line is the main visual base in statistics and we often want to look at two points on the number line and determine the distance between them. This is used to find the base of a rectangle or another figure that lies above the number line. By the end of this section, you will be able to determine the distance between any two points on a number line that comes from a statistics application.
The absolute value of 5 is 5, because it is 5 units away from 0. A negative number is a number that is less than zero. On a horizontal number line, negative numbers are usually shown to the left of 0. Two numbers are opposites if they are the same distance from 0 and on different sides of the number line.
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Can someone help me pls
Answer:
See below
Step-by-step explanation:
Line Segment AD=11x+10.6. Find the length of AB and CD. Show all work
The lengths of AB and CD are 12 and 26.5 units
How to find the lengths of AB and CD?The given parameters are
AB = 2x + 3
BC = 21
CD = 7x - 5
AD = 11x + 10
The points are on line AD
So, we have
AD = AB + BC + CD
This gives
11x + 10 = 2x + 3 + 21 + 7x - 5
Evaluate the like terms
2x = 9
Divide by 2
x = 4.5
Substitute x = 4.5 in AB = 2x + 3 and CD = 7x - 5
AB = 2 * 4.5 + 3 = 12
CD = 7 * 4.5 - 5 = 26.5
Hence, the lengths of AB and CD are 12 and 26.5 units
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please help!!!!!!!!!!
PLEASE HELP!!!! WIILL MARK BRAINLIEST
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6.50 and each adult ticket sells for $10. The auditorium can hold no more than 140 people. The drama club must make at least $1100 from ticket sales to cover the show's costs. If a represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
y ≥ -0.65x +110
y ≤ -x +140
45 students, 95 adults
Step-by-step explanation:
6.50x + 10y ≥ 1100 --> 10y ≥ -6.50x + 1100 --> y ≥ -0.65x +110
x + y ≤ 140 --> y ≤ -x +140
can someone awnser this for me please?
Answer:
1.Yes
2.Yes
3.No
4.Yes
5.Yes
6.No
I hope it's help
Answer:
1. yes
2.Yes
3.no
4.no
5.yes
6.yes
Step-by-step explanation:pa brainliest po thankyou
1.Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
Answer:
x=8
Step-by-step explanation:
So 6^2+x^2=10^2
36+x^2=100
x^2=64
x=8
Answer:
first put name of triangle abc than
angle _abc =180degree
10+6+c=180
16+c=180
180÷16=c
c=11.25
the value of x is 11.25 ans
how many real solutions does 3x² +24x = -48 have
Answer:
1
Step-by-step explanation:
3x² +24x = -48
3x² +24x + 48 = 0
x² +8x + 16 = 0
By using cross multiplication,
(x-4)² = 0
Therefore,
x-4 = 0
x = 4 (repeated)
Answer:
Only one real solution
Step-by-step explanation:
[tex]{ \tt{ {3x}^{2} + 24x = - 48}} \\ { \tt{ {3x}^{2} + 24x + 48 = 0 }} \\ { \tt{ {x}^{2} + 8x + 16 = 0}} \\ { \tt{(x + 4) = 0}}
Which number sentence is not true?
A) -4.51 4.5
B) |0| < |-45|
C) |45|> 0
D) 14.5| |-45|
Please help me
Find the slope of the line on the graph
Answer:
slope = 6/10
Step-by-step explanation:
Point 1: (0,2)
Point 2: (10,8)
m= Slope= Rise/run = (y2-y1)/(x2-x1) = (8-2)/(10-0) = 6/10
What is logs (4-7)+logs2 written as a single log?
O log 21
O log 26
O log,30
O log,56
Answer:
[tex]\log_556[/tex]
Step-by-step explanation:
Given:
[tex]\log_5(4 \cdot 7)+\log_52[/tex]
Multiply the 4 and 7:
[tex]\implies \log_528+\log_52[/tex]
[tex]\textsf{Apply the Log Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]
[tex]\implies \log_5(28\cdot2)[/tex]
Multiply the 28 and 2:
[tex]\implies \log_556[/tex]
Below is a distance with given lengths to help Cecil cross the tightrope. Find a way to get cecil cross the tightrope.Write your
solutions as numerical expressions. the length of the tightrope is 15 feet long the lengths are 2,6 and 8 feet. Explain why or why not you can use these lengths. PLEASE HELP WORTH A LOt OF POINTS
The lengths can be used since it's more than the tightrope.
How to illustrate the information?It should be noted that the the length of the tightrope is 15 feet long and the lengths given are 2,6 and 8 feet.
The addition of the lengths will be:
= 2 + 6 + 8
= 16 feet
Therefore, the lengths can be used since it's more than the tightrope. In this case, 26 feet is more than 15 feet.
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Which relation is a function?
HURRY IM TIMED Explain how to find the estimated sum of 5/8+2/9
Answer:
61/72
Step-by-step explanation:
first find the lowest common denominator - basically in this case the lowest number that goes into 8 and 9 - 8 x 9 which is 72, then
8 goes into 72 9 times so do 9 x the numerator (5)
9 x 5 = 45
Do the same for the second fraction, 9 goes into 72 8 times so do 8 x numerator (2)
8 x 2 = 16
Now add 45+ 16 = 61 ( this is your numerator)
and you keep the denominator (72) the same, so the answer is 61/72
Question
If the point (1, 4) is on the graph of an equation, which statement must be
true?
о A. The values x= 1 and y = 4 are the only values that make the
equation true.
O B. The values x = 1 and y = 4 make the equation true.
C. There are solutions to the equation for the values x= 1 and x = 4.
OD. The values x = 4 and y = 1 make the equation true.
SUBMIT