The value u > -16 that makes the inequality 5u > -80 is true.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
We have the inequality,
5u > -80
To find the solution set of the inequality;
Divide by 5 to both sides,
5u/5 > -80/5
u > -16.
That means, the inequality is true for u > -16.
Therefore, the inequality is true for u > -16.
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A triangle is placed in a semicircle with a radius of 2 yd, as shown below. Find the area of the shaded region. Use the value 3.14 for pie, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
[tex]A_s=2.28yd^2[/tex]
Step-by-step explanation:
From the question we are told that:
Radius [tex]r=2yd[/tex]
Pie [tex]\pi=3.14[/tex]
Generally the equation for Area of the shaded part [tex](A_s)[/tex] is mathematically given by
[tex]A_s=Area\ of\ semi-circle(A_c)-Area\ of\ triangle(A_t)[/tex]
Generally the equation for Area of semi-circle is mathematically given by
[tex]A_c=\frac{1}{2}\pi r^2[/tex]
[tex]A_c=\frac{1}{2}*(3.14) (2)^2[/tex]
[tex]A_c=6.28yd^2[/tex]
Generally the equation for Area of triangle is mathematically given by
[tex]A_t=\frac{1}{2} base*height[/tex]
[tex]A_t=\frac{1}{2} (2+2)*2[/tex]
[tex]A_t=4yd^2[/tex]
Therefore Area of the shaded part [tex](A_s)[/tex]
[tex]A_s=A_c-A_t[/tex]
[tex]A_s=6.28yd^2-4yd^2[/tex]
[tex]A_s=2.28yd^2[/tex]
Find the lengths of the diagonals of rectangle WXYZ.
WY= 16x + 2-
XZ=36x-6
The length of each diagonal is
units.
Therefore , the solution of the given problem of equation comes out to be each diagonal measures 8.4 units in length..
Define equation.An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.
Here,
Given: 16x + 2 = 36x - 6 8 = 20x x = 8/20, simplifying to 2/5, or 0.4
You would set the two equations equal to one another and find x because a rectangle's diagonals are congruent.
Re-enter the value of x into a single of the equations.
=>16(0.4) + 2
=>6.4 + 2
=>8.4
To make sure, confirm with the other diagonal.
=>36(0.4) - 6
=>14.4 - 6
=>8.4
Each diagonal measures 8.4 units in length..
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Find the x-intercept and y-intercept
from the following linear equation:
X + 4y = -56
x - intercept ()
y - intercept ()
Answer:
x-intercept: (-56, 0)
y-intercept: (0, -14)
Step-by-step explanation:
The x-intercept is the point at which the line crosses the x-axis, so when y=0. To find the x-intercept, substitute y=0 into the given equation:
[tex]\begin{aligned}y=0\implies x+4(0)&=-56\\x+0&=-56\\x&=-56\end{aligned}[/tex]
Therefore, the x-intercept of the given linear equation is:
(-56, 0)The y-intercept is the point at which the line crosses the y-axis, so when x=0. To find the y-intercept, substitute x=0 into the given equation:
[tex]\begin{aligned}x=0\implies 0+4y&=-56\\4y&=-56\\y&=\dfrac{-56}{4}\\y&=-14\end{aligned}[/tex]
Therefore, the y-intercept of the given linear equation is:
(0, -14)If the slope of a line is į and the y-intercept is (0, 6)
Vilhich one is the slope-intercept form of that line?
Answer:
y = i*x + 6
Step-by-step explanation:
Most often we use 'm' to represent 'slope.' Here you have used 'i' which is highly unusual.
Plugging in 'i' for slope and 6 for b, y = mx + b becomes
y = i*x + 6
Find all of the solutions for the following equation.
Answer:
3 tan theta=root 3
tan theta=root 3/3
tan theta=0.57
Step-by-step explanation:
plsss answer for brainliest
Answer:
answer is below
Step-by-step explanation:
1.
Two lines from right angles.
The lines are perpendicular
2.
x + 20 = 32
x =12
3.
You are a third year high school student.
You are a junior high school student.
4.
An angle measures 20°.
The angle is acute.
5.
A figure is square.
The figure is quadrilateral.
Mr. Reginer's class has been struck with hiccups. Three of the students track their number of hiccups over time
Answer:
Step-by-step explanation:
I dont understand the question.
How to determine if a triangle is right acute or obtuse based on side lengths calculator?
A triangle is said to be acute if the sum of the squares of its two shorter sides is greater than the square of its longest side.
How do you know if its right obtuse or acute?Less than 90 degree angles are considered acute. Right angles have a 90 degree angle. Angles that are obtuse exceed 90 degrees.
See samples of various angles and learn about them. If and only if side lengths a, b, and c satisfy a2 + b = c2, a right triangle will be formed. These numbers are referred to as a Pythagorean triple. When the square of a triangle's longest side equals the sum of the squares of its other two sides, the triangle is said to be a right triangle. So, in the ABC equation, if c2=a2+b2, then C is a right triangle, with PQR serving as the right angle.
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create a situation relating to coins that can be modelled by the linear system and explain the meaning of each variable
x + y = 24
0.25x + 0.05y = 4.60
The situation involving coins that is modeled by the system of equations x + y = 24, 0.25x + 0.05y = 4.60 is given as follows:
You have a combination of 24 quarters and cents, and the total you have is of $4.60. How many coins of each type you have.
What is the system of equations?To obtain the meaning of each of the variables x and y, we look at the second equation, given as follows:
0.25x + 0.05y = 4.60.
This means that:
The variable x represents the total number of quarters, as each quarter coin is worth $0.25.The variable y represents the total number of nickels, as each nickel coin is worth $0.05.The result of this sum means that the total amount of money that you have is of $4.60.
The first equation is given as follows:
x + y = 24.
Which means that the total number of coins that you have is of 24.
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help me out thankyou
Answer: A
Step-by-step explanation:
I took the test
Select all of the expressions that are equivalent to 109+ 29m − 49n.
2(5 + m − 2n)
9(10 + 2m + 4n)
29(5 + m − 2n)
2(−2n + m + 5)
9(−4n + 2m + 10)
−29(2n − m − 5)
The equivalent expressions of 10/9 + 2/9m − 4/9n are 2/9(5 + m - 2n) and -2/9(2n − m − 5)
How to determine the equivalent expressionsFrom the question, we have the following parameters that can be used in our computation:
109+ 29m − 49n
Express the expression properly
So, we have the following representation
10/9 + 2/9m − 4/9n
Factor out 2/9
So, we have
2/9(5 + m - 2n)
Factor out -1 from the expression
So, we have the following representation
-2/9(2n − m − 5)
Hence, the equivalent expression is -2/9(2n − m − 5)
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witch it correct help us
Answer:
1st off its which*
and ur answer is 138
how do you find LCM? please give a good explanation!
Answer:
72xy1
Step-by-step explanation:
becuz the multiple of 9,6 and 24 is 72 and the multiple of x is 1x which is just x and the multiple of y is 1y
Everyone at Lorenzo's school wore either red or green for school spirit day. 738 students wore red and 162 students wore green. What percentage of the students wore red?
Answer:
Given that ,
738 students wore red while 162 students wore green.
Therefore , total number of students ,
[tex]\dashrightarrow \: 738 + 162 \\ \dashrightarrow \: 900[/tex]
Now , 738 students out of 900 wore red.
So , percentage of students who wore red ,
[tex]\dashrightarrow \: \frac{738}{9\cancel{00}} \times \cancel{100} \\ \\ \dashrightarrow \: \cancel\frac{738}{9} \\ \\ \dashrightarrow \: 82\%[/tex]
hope helpful :-;
Can someone show me step by step what to do next please I’m confused?!!! Please anyone
Answer:
You need to combine like terms
the slope of the line below is -1. write the point-slope equation of the line using the coordinates of the labeled point. (7, -7)
Answer:
y + 7 = -(x - 7)
Step-by-step explanation:
point slope is written in the form y - y₁ = m(x - x₁)
substitute -1 for m, 7 for x₁ and -7 for y₁
a circular fish pond has a diameter of 14 m the pond is surrrounding by a concrete path 1.75 meters wide. Find the ponds area. take pi as 22/7
Area of the pond is 86.625 m²
What is the area formula to a circle?The following formulae can be used to determine a circle's area: Area is equal to r2, where r stands for radius. Area is equal to (/4) d2, where d stands for diameter.The region encircled by a circle of radius r is known as r2 in geometry. Here, the Greek letter stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159.A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.Pi () is a unique mathematical constant that expresses the relationship between a circle's circumference and diameter.Given data :
Diameter of the pond = 14m
Radius of the inner circle (pond), r = 7 m
Width of the concrete path = 1.75m
Radius of outer circle (Including pond + Path), R = 7 + 1.75 = 8.75 m
Area of the path = Area of the outer circle − Area of the inner circle.
= πR² - πr²
= 22 / 7 x ( 8.75 + 7) ( 8.75 − 7 )
= 86.625 m²
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(2⋅3) 2 −5 2 =
PLEASE HELP!
Answer: -40
Step-by-step explanation:
This answer is only correct if that last number is 52. So if the last number is something other than 52 then the answer is wrong,
A math class has 3 girls and 5 boys in the seventh grade and 3 girls and 3 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys? Write your answer as a fraction in simplest form.
answer:
5/3 m
Step-by-step explanation:
because 3/3=1 so teacher choose boys
The scale factor of the blueprint of a garage door to the actual garage door is 0.05. The area of the actual garage door is 220 ft2 . What is the area of the garage door on the blueprint
The area of the garage door on the blueprint is 0.55 ft^2.
The size of a patch on a surface is determined by its area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Given in question,
Scale factor = 0.05
Since this scale factor is for length.
The scale factor for the area = 0.05*0.05
= 0.0025
Original Area = 220
The area on the blueprint = 0.0025*220
= 0.55
Hence, the area of the garage door on the blueprint is 0.55 ft^2.
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Solve for x.
4. 31-1 = 92x+4
a Sin CA-45°) = - 言 √2 (cos A-SinA)
Answer:-√2 sin (45° - A)
Step-by-step explanation:
What is 24.21 written in expanded form?
Answer:
(2 x 10) + (4 x 1) + (2 x 0.1) + (1 x 0.01)
Step-by-step explanation:
The expanded form of 24.21 = (20 + 4 + 0.2+ 0.01)
The expanded form of an equation requires writing out the place value term of each digit of the number given :
24.21 :
Tens digit = 2 × 10 = 20
Unit digit = 4 × 1 = 4
Tenth digit = 2 × 0.1 = 0.2
Hundredth digit = 1 × 0.01 = 0.01
Hence, the expanded form of the number is :
(20 + 4 + 0.2+ 0.01)
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help? anyone? please
Answer:
Step-by-step explanation:
Perimeter is the addition of all the sides.
So in this question, if you add up all the sides :
14x + 8x +7x +12
Simplify by adding all terms with x :
29x + 12
(As you can not add a number constant to a variable )
Example 2: An object is thrown upward from the top of a building, where h is the height of the object in metres and t is the time in seconds. The graph below represents the relationship between height and time.
a) What is the maximum height of the object above
the ground?
b) After how many seconds does the object reach this
maximum height?
c) From the moment the object was thrown, how much
time would it take for it to reach he ground?
d) How tall is the building?
The answers are given as 1) 165 m 2)3 seconds 3) 9 seconds 4)120 m
What is a curve in a graph?A curve is defined as a smoothly- flowing continuous line that has bent. It does not have any sharp turns. The way to identify the curve is that the line bends and changes its direction at least once. Curve of the graph is a pictorial representation of a particular function.
Given : A object is thrown from the top of the building thus by observing the graph we derive the following information
1) Maximum height = 165 m
2) The object reaches maximum height at t=3 seconds
3) The time it took to reach the ground is 9 seconds
4) The building is 120 m tall
Hence, the answers are 1) 165 m 2)3 seconds 3) 9 seconds 4)120 m
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The table shows the number of practice problems completed in 30 minutes in three samples of 10 randomly selected math students.
Which statement is most accurate based on the data?
O A. A prediction based on the data is not completely reliable, because the means are too close together.
B. A prediction based on the data is reliable, because each sample has 10 data points. O
C. A prediction based on the data is reliable, because the means of the samples are close together.
D. A prediction based on the data is not completely reliable, because the means of samples 1 and 2 are greater than 16 and the mean of sample 3 is less than 16.
Answer: C. a prediction based on the data is reliable, because the means of the samples are close together.
Step-by-step explanation:
Solve
the equation 2y" + 3y' - 5y = 0
Answer:
y= ae^pi + C2e ^ -1/2 pi
Step-by-step explanation:
i couldnt type out symbols, hope this helps
what's the slope of (-2,2) and (4,-2)
can someone please answer question #5
i will mark brainliest
uh ..................
What is the volume of the pyramid?
A solid oblique pyramid has an equilateral triangle as a
base with an edge length of 4/3 cm and an area of 12
3 cm?
A. 12/3 cm3
B. 16/3 cm3
C. 24/3 cm3
D. 32/3 cm3
Answer:
B 16/3
Step-by-step explanation:
on edg
The volume of the pyramid shown is 16√3 cm³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given a solid oblique pyramid.
It has an equilateral triangle as a base with an edge length of 4√3 cm and an area of 12√3 cm².
Volume of the pyramid = 1/3 × base area × height
Base area = 12√3 cm²
Height = 4√3 × tan (30°) = 4√3 × 1/√3 = 4
Volume = 1/3 × 12√3 × 4
= 16√3 cm³
Hence the volume is 16√3 cm³.
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