The center of the circle must be on the perpendicular bisector of chord PQ since it passes through the center.
What is a perpendicular bisector?It should be noted that a perpendicular bisector simply means a line the intersect another line through the intersection point.
In this case, the center of the circle must be on the perpendicular bisector of chord PQ since it passes through the center. This bisects it at a right angle. The chord closer to the centimeter will be the one closer to the diameter.
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1) lan's new Mercedes cost him $75,000. From the
moment he drives it off the lot, it will depreciate
by 20% each year for the first five years. What will
be the car's value be at the end of five years?
(Round to the nearest whole number.)
Answer: The answer to this is 3000,
Step-by-step explanation:
I think this is the answer because when you find out what 20% of 75000 is, (which is 15000) you can divide 20% by 5 and there is your answer, i hope this helps
An item on sale costs 15% of the original price. The original price was $97
Answer:
$14.55
Step-by-step explanation:
Martina's inground swimming pool is finally finished, and all that's left to do is fill it with water. Martina's family decides to fill their pool using their garden hose to save money, even though they know it will take a really long time. The swimming pool is 10 meters long and 5 meters wide, and Martina's family wants the water to be 2 meters deep. Water from the garden hose flows at a rate of 2,500 liters, or 2.5 cubic meters, per hour.
How long will it take to fill the pool?
Write your answer as a whole number or decimal. Do not round.
hours
Answer:
40 hoursStep-by-step explanation:
Find the required water volume using the volume of prism formula
V = lwhV = 10*5*2 = 100 m³Find the time required
100/2.5 = 40 hoursAnswer:
40 hours
Step-by-step explanation:
The swimming pool can be modeled as a rectangular prism.
Volume of a rectangular prism
[tex]V = lwh[/tex]
where:
l = lengthw = widthh = heightFirst, calculate the volume of water needed:
Given:
l = 10 mw = 5 mh = 2 mSubstitute the given values into the formula and solve for V:
[tex]\implies V=10 \cdot 5 \cdot 2=100\:\: \sf m^3[/tex]
If the water flows as a rate of 2.5 m³/h, divide the volume by the rate to calculate how long it will take to fill the pool:
[tex]\implies \sf Time=\dfrac{Volume}{rate}[/tex]
[tex]\implies \sf Time=\dfrac{100}{2.5}[/tex]
[tex]\implies \sf Time=40\:\:hours[/tex]
what is the surface area of this?
Answer:
Surface Area = 96
Step-by-step explanation:
Area of Triangle: Area = 1/2 * Base * Height
Top Triangle:Area = 1/2 * 6 * 2 = 6
Bottom Triangle:Area = 6
Area of Rectange: Area = Length * Height
Left Rectangle:Area = 7 * 3 = 21
Mid RectangleArea = 7 * 6 = 42
Right RectangleArea = 21
Surface Area = TopTri + BotTri + LeftRect + MidRect + RightRect
Surface Area = 6 + 6 + 21 + 42 + 21 = 96
A composite figure is formed by combining a square and a triangle. Its total area is 49.5 ft. The area of the
triangle is 33.5 ft. What is the length of each side of the square? Complete the explanation.
The area of the square is
it?, so each side of the square is
ft.
Answer:
The length of each side of square is 5ft.
Step-by-step explanation:
A composite figure is formed by combining a square and a triangle. Its total area is 32.5ft squared.
The area of the triangle is 7.5ft squared.Area of combined figure - area of triangle = area of square.
32.5 ft squared - 7.5 ft squared = 25 ft squared.
So, area of square = 25 ft squared.
Now, by putting the formula for getting the length of each side:
Let the side = a.
Area of square = 25 ft squared
Area of square = a²
Using square root both sides we get:
So, the side = 5 ft.
Therefore, the length of each side of square is 5ft.
Solve the system of equations using elimination: 8x - 8y = 0 and
-5x - 7y= -12.
Answer:
My answers were (1,1) for both lmk if it works ;)
Step-by-step explanation:
Can someone help I’m in a bit of a pickle here
Step-by-step explanation:
Im maybe wrong but it might be that morgan earns morgans hourly rate on friday is 12$
7/5 as a mixed number
Answer:
The answer is given in the picture
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASELET ME KNOW IF YOU NEED EXPLANATION
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEy = 6x - 3 non linear or linear
Answer:
Linear
Step-by-step explanation:
The equation is in the form y = mix + b, which means it is linear.
What is the equation that represents the function
Answer:
y= 1/5 x -1
Step-by-step explanation:
Find two points ( any two of the three given)
find the slope between 5,0 and 10, 1
( 1-0)/(10-5) = m = slope = 1/5
so the line is of the form y = mx + b :
y = 1/5 x + b sub in any point to calculate 'b'
1 = 1/5 (10) + b
b = -1
y = 1/5 x -1 is your answer
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a) 1.6×10⁻⁶
b) 2×10⁷
Step-by-step explanation:
You want the product or quotient in standard form of ...
(8×10⁻³)×(2×10⁻⁴)(6×10²)÷(3×10⁻⁵)ExponentsThe rules of exponents apply:
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
Scientific notationA number is said to be in scientific notation if there is one digit to the left of the decimal point, and the multiplier is expressed to an appropriate power of 10. The power of 10 may need to be adjusted so the decimal point is in the correct place. In general, the power of 10 represents the place value of that most-significant digit.
Standard formIn the US, a number is written in standard form as a sequence of digits with an optional decimal point. Integers are written so the least-significant digit has a place-value of 1.
Elsewhere, a number is written in standard form when it is written in scientific notation.
We have given both forms a number here, so you will need to choose the one that is standard form where you are.
a) (8×10⁻³)×(2×10⁻⁴)The product is (8×2)×10^(-3-4) = 16×10^-7 = 1.6×10^-6
= 0.0000016
b) (6×10²)÷(3×10⁻⁵)The quotient is (6/3)×10^(2-(-5)) = 2×10^7
= 20,000,000
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The number of items, n, made in 1 hour by a machine is given by n=30/t, t is the time in minutes the machine takes to make one item. The value of r changes for different types of item. On the grid, plot the points that would be used to draw the graph of n = 30/t for values of t from 1 to 4
The equation n = 30/t is an illustration of an inverse variation
The points on the graph are: (1,30), (2,15), (3,10) and (4,7.5)
How to plot the graph?The equation is given as:
n = 30/t
When t = 1, we have:
n = 30/1
n = 30
When t = 2, we have:
n = 30/2
n = 15
When t = 3, we have:
n = 30/3
n = 10
When t = 4, we have:
n = 30/4
n = 7.5
So the points on the graph are:
(1,30), (2,15), (3,10) and (4,7.5)
See attachment for the graph of the equation n = 30/t
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whats the y intercept and rate of change ill give 20 pt please help me thank u
Answer:
y-intercept= (0,7) and rate of change=
Step-by-step explanation:
The y-intercept of a graph is the point on the graph where it intersects the y-axis or where x=0. In this case it is (0,7) so that is the y-intercept. The rate of change is equal to y2-y1 divided by x2-x1. Basically, just pick 2 random points on the line and subtract their y coordinates, then subtract their x-coordinates and divide the answers with each other. So, one point is (0,7) and another point is (2,4). Therefore, rate of change is 7-4 divided by 0-2. This gives us a rate of change of -3/2
Please help me ):
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.
.
.
Jeremy is x years old. He is 5 years younger than his sister. Together, the sum of their ages is 29 years. Enter an equation that can be used to find Jeremy's age (x).
Answer:
Jeremy is 12 years old
Step-by-step explanation:
Jeremy age=X
Sister age=Y
1. X+Y=29 (sum of their ages)
2. X=Y-5 (he is 5 years younger than his sister)
*Substitute eq 2 into eq 1
Y-5+Y=29
2Y=29+5
2Y=36 (divide both sides by 2)
Y =17
Substitute value of Y into eq 1 to find X
X+17=29
X=29-17
X= 12
Checking answer:
12+17=29
17-5=12
Hence why Jeremy is 12
HELP ASAP !!!!!Consider the function f(x) = 10x and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of f(x)? A. The graph of g(x) is the graph of f(x) shifted 6 units down. B. The graph of g(x) is the graph of f(x) shifted to the right 6 units. C. The graph of g(x) is the graph of f(x) shifted to the left 6 units. D. The graph of g(x) is the graph of f(x) shifted 6 units up.
Answer:
the answer is B, the graph of g(x) is the graph of f(x) shifted to the right 6 units. hope this helps!
Answer:
C. The graph of g(x) is the graph of f(x) shifted to the left 6 units.
Hope this helps and good luck!
How much would a 20% tip be on a $65 restaurant bill?
Answer:
13 dollars would be the answer you're welcome lol
1 A triangle ABC ,AB = 7.8 cm,AC= 7 cm an
Isosceles Triangle
Scalene triangle
Equilateral triangle
Right angled Triangle
Answer:scalene
Step-by-step explanation:none of the sides are equal length
How do you solve this? In volume...
PLEASE HELPP QUICKLY!!!!!
Answer:
the first option, LON and NOP
Step-by-step explanation:
adjacent angles are side by side and cannot overlap
Answer:
1) angle LOM and angle MON
2) A. angle LON and angle NOP
Help oh my god give me the area of this shape I’m gonna cry
Answer:
96
Step-by-step explanation:
2 x 8 =16
8 x 7 = 56
3 x 8 = 24
24 + 56 = 80
80 + 16 = 96
Hi!
The area of the entire figure is 76 units squared.
NOTE: This question has two different shapes: a rectangle, and a triangle.
Rectangle Formula:
Length * Width = Area
[tex]LW=A[/tex]
Triangle Formula
(Base * Height) / 2 = Area
[tex]\cfrac{bh}{2}=A[/tex]
Let's first get the rectangle's area:
[tex]LW=A[/tex]
[tex]8*7=A[/tex]
[tex]56=A[/tex]
The area of the rectangle is 56.
Now, for the top triangle:
[tex]\cfrac{bh}{2} =A[/tex]
[tex]\cfrac{8*2}{2} =A[/tex]
[tex]8=A[/tex]
The area of the top triangle is 8.
Now, for the bottom triangle.
[tex]\cfrac{bh}{2} =A[/tex]
[tex]\cfrac{8*3}{2} =A[/tex]
[tex]12=A[/tex]
The area of the bottom triangle is 12.
Now, add them all together:
[tex]56+8+12=76[/tex]
A right triangle has one side that is 6 inches
long, and a height of 12 inches. What is the
perimeter of the triangle?
Answer:
31.4 inches
Step-by-step explanation:
36+144 = 180
sqrt(180) = 13.41
6 + 12 + 13.4
Factorise the following:
A. 4xy-16
B. xy+2xy-x
C. 2x²-18x+12
D. 5xy+20x-9y-36
=4(xy−4)
B. xy+2xy-x3xy−x
=x(3y−1)
C. 2x²-18x+122x²−18x+12
=2(x²−9x+6)
D. 5xy+20x-9y-365xy+20x−9y−36
=(y+4)(5x−9)
Graph f(x) = 4[x] +5.
a.
b.
X
C.
d.
r
16
Answer:
C
Step-by-step explanation:
What two-dimensional shape is formed by the cross section shown below?
Answer:
I believe rectangle.
Step-by-step explanation:
This is lesson 9.4 - special right triangles.
Please help me
Triangle ABC is an equilateral triangle. it is equiangular. Therefore, the value of x is 60 degrees.
What is an equilateral triangle?An equilateral triangle is a triangle that has all it sides and angles equal to each other.
An equilateral triangle is equiangular.
Therefore, the angles of an equilateral triangles are equal to 60 degree each.
Recall the sum of an angle of a triangle is 180 degrees.
Therefore, the value of angle x is 60 degrees.
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5.7.PS-7
Solve the inequality. Then graph the solutions on a number line.
6< - 3(2x-6)
A. X≥
• B. X >
O C. X <
O D. XS
the answer is a x equal to or greater than
The first thing you should do in solving a word problem is estimate what you think the answer would be.
True
False
Answer:
The answer is True.
Step-by-step explanation:
Estimate the Answer Before Solving Having a general idea of a ballpark answer .Or the problem lets students know if their actual answer is reasonable or not.What is the area for 12ft and 8.5 for a parallelogram
Answer:
102 ft^2
Step-by-step explanation:
Im pretty sure area for a parallelogram is the same as a rectangle, so A = bh which would be 12 x 8.5
There are `11` dancers in a performance. Their ages (in years) are: `5. 5`, `6`, `6`, `6. 5`, `7`, `7. 5`, `8`, `8`, `8. 5`, `9`, `9` What is the median age of the dancers?
Answer:
7.5
Step-by-step explanation:
The median is the middle of a set of numbers. In this case, the median is 7.5.
simplify the answer should be 2/5 i just don’t understand how to get it
Step-by-step explanation:
((8x⁶)²)⅙ = (64x¹²)⅙
= (2⁶x¹²)⅙
= 2x²
(625x⁸)¼ = (5⁴x⁸)¼
= 5x²
2x²/5x² = 2/5