Answer:
A
Step-by-step explanation:
Edge
The measure of MN is equal to 58cm, the correct option is A.
What is a Triangle?A triangle is a polygon with three sides, vertices and angle.
Triangle A B C is cut by line segment M N.
such that,
A M = M B = 88 centimeter
CN =NB = 75 centimeter
AC = 116 centimeter
If a line segment joins the mid-points of two sides of a triangle, then the line segment is parallel to the third side of the triangle and the measure is equal to half of its length.
MN = (1/2) AC
MN = (1/2) * 116
MN = 58 centimeter
To know more about Triangle
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Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. width units height units
This question is incomplete, the remaining part of the question is upload as an image alongside this answer.
Answer:
Width = 2x = 2( r/√2 ) = √2 r units
Height = 2y = 2( r/√2 ) = √2 r units
Step-by-step explanation:
From the Figure on the image; lets consider the circle of radius r, centered at the origin.
let ABCD be the largest rectangle that can be inscribed inside the circle.
Let the half width of the rectangle be x, then in right triangle ONB using Pythagorean theorem,
half height of rectangle y = √(r² - x²)
Thus the width of the inscribed rectangle = 2x and height of the inscribed rectangle = 2√(r² - x²)
thus the area of the inscribed rectangle = length × width
⇒ A(x) = 2x(2√(r² - x²))
⇒ A(x) = 4x√(r² - x²)
now in order to maximize the area, we find critical points.
so we find the derivative and set that zero, that is Ai(x) = 0.
so using product rule, we get
A'(x) = 4x × ( -2x / 2√(r² - x²) ) + ( 4 × √(r² - x²) )
A'(x) = ( -4x² / √(r² - x²) ) + ( 4√(r² - x²) )
Now for critical points, set A'(x) = 0
so
( -4x² / √(r² - x²) ) + ( 4√(r² - x²) ) = 0
( 4x² / √(r² - x²) ) = ( 4√(r² - x²) )
x² = r² - x²
2x² = r²
x² = r²/2
x = ±√(r²/2)
Now since x represent the with, it cannot be negative, Thus
x = r/√2
hence
y = √(r² - x²) = √(r² - r²/2) = √(r²/2) = r/√2
Therefore, the dimensions of the rectangle of largest area will be;
Width = 2x = 2( r/√2 ) = √2 r units
Height = 2y = 2( r/√2 ) = √2 r units
Explain how to evaluate algebraic expression
given value of a variable.
Describe another pattern you see in this set of numbers 20,24,28,32, and 36
A water tower that is 132 feet tall casts a 48-foot long shadow. If Shannon is 1 point
5'6" inches tall and standing near the tower, find the length of her shadow.
Answer:
2.03 ft
Step-by-step explanation:
132 divided by 48 is 2.75 and 5.6 divided by 2.75 is 2.03
Complete the proof.
Drag and drop the expression to correctly complete the proof of the polynomial identity (x−y)2+4xy=(x+y)2.
Answer:
See attached
Step-by-step explanation:
The proof is attached
Answer:
x^2-2xy + y^2 + 4xy = (x + y)^2
x^2 + 2xy + y^2 = (x + y)^2
(x + y)^2 = (x + y)^2
One -tenth of books are picture books 2/10 are story books and half are science fiction and remainings are encyclopaedia what fraction are encyclopaedia
Answer:
1/5 of books are encyclopediaStep-by-step explanation:
Remaining fraction:
1 - (1/10 + 2/10 + 5/10) = 1 - 8/10 = 2/10 =1/51/5 of books are encyclopedia
Answer:
Let the total fraction of books be 1, then;
[tex]1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }[/tex]
Therefore, 1/5th of the books are encyclopaedia.What is 8/25 as a decimal representation and as a percent representation please answer thank you
Answer:
decimal: 0.32 percent: 32%
Step-by-step explanation:
What is the solution to the inequality −2x+8<3(2x−4)?
Answer:
x>5/2
Step-by-step explanation:
write an equation that represents the relationship between
Complete Question:
Write an equation that represents the relationship between <FCB and <GBC
Answer:
m<FCB = m<GBC
Step-by-step explanation:
Given that GE is parallel to HF, and AD crosses both, thus:
<FCB and <GBC are alternate interior angles.
Alternate interior angles are congruent.
Therefore, the equation that represents the relationship between <FCB and <GBC would be:
m<FCB = m<GBC
Write 56\90 as a decimal
Answer:
0.62
Step-by-step explanation:
divide 56 by 90
Hope this helps :)
Answer:
0.622222222222
Step-by-step explanation:
Jenny bought gas for her car. Gas cost $3.45 per gallon. She bought 12.2 gallons for her car. What was the total cost of gas for Jenny's car?
Answer:
42.09
Step-by-step explanation:
3.45 x 12.2 = 42.09 (checked with a calculator)
z=−24i−19
Re(z)=
Im(z)=
9514 1404 393
Answer:
Re(z) = -19Im(z) = -24Step-by-step explanation:
There is some disagreement over whether the "imaginary part" includes the factor "i" or not. Here, we assume it is simply the coefficient of i.
Re(z) = -19 . . . . the part that does not have a factor of i
Im(z) = -24 . . . . the coefficient of i
What is an equation of the line that passes through the points (4, -2) and (8, – 7)?
Answer:
y = -1.25x + 3
Step-by-step explanation:
To see if the coordinate pairs are on this line, plug x into the equation above.
y = -5 + 3
y = -2, so (4, -2) is on that line.
y = -1.25(8) + 3
y = -10 + 3
y = -7, so (8, -7) is also on that line.
Answer:
y = -1.25x + 3
Step-by-step explanation:
i got it right
if you answer right, I will give points.... this is homework so it's important. so be honest please.
give two ways to write the expression as a phase for 15-b
Answer:
((c)) man so simple. bye
help please help mesda
Answer:
25, 25, 22.5, 22
Step-by-step explanation:
It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.
We are given all of these values:
x -> 2, 3, 4, 5
y -> 50, 75, 90, 110
Use the formula given and solve for K.
50/2 = 25
75/3 = 25
90/4 = 22.5
110/5 = 22
Best of Luck!
please help asap!! no trolls
Answer:
Cannot prove as congruent
Step-by-step explanation:
AAA cannot be used to prove whether a triangle is congruent. Only SSS, SAS, ASA, and AAS can be used.
What is this? Please answer with an explanation
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = - [tex]\sqrt{x+11}[/tex] - 3 ← substitute x = - 7
f(- 7) = - [tex]\sqrt{-7+11}[/tex] - 3
= - [tex]\sqrt{4}[/tex] - 3
= - 2 - 3
= - 5 ← output is real
find the value of x showing your steps. identify the postulate that allowed you to solve for x.
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesGeometry
CongruencyAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
3(x + 7)° = 63°
3(x + 7)° + 63° + y° = 180°
Step 2: Solve for x
Divide 3 on both sides: x + 7 = 21Subtract 7 on both sides: x = 14Use the order of operations to simplify the expression. 5 + 21 ÷ 7 x 2 - 3
Help me with these maths, thanks.
-Tornado
The required answer is -2.85.
Hope it helps!
Answer:
-2.85
Step-by-step explanation:
first take l. c. m
(-35-22)/20
and -57/20= -2.85
Find the distance between the points (-12.3, 15.1) and (17.5, 2). Round your answer to the
nearest hundredth.
Answer:
32.55
Step-by-step explanation:
d = 32.552266
For:
(X1, Y1) = (-12.3, 15.1)
(X2, Y2) = (17.5, 2)
Distance Equation Solution:
d=(17.5−(−12.3))2+(2−15.1)2−−−−−−−−−−−−−−−−−−−−−−−−−√
d=(29.8)2+(−13.1)2−−−−−−−−−−−−−−−√
d=888.04+171.61−−−−−−−−−−−−−√
d=1–√059.65
d=32.552266
could be confusing.
186 = 6 (3n + 7) answer for N
Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
186 = 6(3n + 7)
Step 2: Solve for n
Divide 6 on both sides: 31 = 3n + 7Isolate n term: 24 = 3nIsolate n: 8 = nRewrite: n = 8Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: 186 = 6(3(8) + 7)Multiply: 186 = 6(24 + 7)Add: 186 = 6(31)Multiply: 186 = 186Here we see that 186 does indeed equal 186.
∴ n = 8 is the solution to the equation.
Please I need help !!!!
Answer:
The first one is c the second is b
The table below represents a function. Write a number from the given values below to complete the table of values.
The answer is -3/-1/2
Tap on a clip to paste it in the text box.
express 0.361 as a fraction
Answer:
361/1000
Hope I helped
Answer:
179/495
Step-by-step explanation:
x = 0.3616161.......... ---------------(I)
Multiply by 1000
1000x = 361.616161......
Multiply (I) by 10
10x = 3.616161........
1000x = 361.6161......
10x = 3.6161........ {Now subtract}
990x= 358
x = 358/990
x = 179/495
What should the following rate be divided by to convert it to a unit rate?
6 inches
12 hours
A.12/12
B.2/2
C.12
D.6/6
Answer:
Can someone help, please?
-1/2(7z+4)+1/5(5z-15)
Answer:
21
Step-by-step explanation:
bc i said
Simplify -6
.
2
041
318
4
8
318
[tex] - 6 \frac{1}{4} - ( - 2 \frac{1}{8} )[/tex]
[tex] = - 6 \frac{1}{4} + 2 \frac{1}{8} [/tex]
[tex] = \frac{ - 25}{4} + \frac{17}{8} [/tex]
[tex] = \frac{ - 50}{8} + \frac{17}{8} [/tex]
[tex] = \frac{ - 50 + 17}{8} [/tex]
[tex] = \frac{ - 33}{8} [/tex]
[tex] = - 4 \frac{1}{8} [/tex]
Use the Distributive Property on the
equation below.
3(4y + 3) = [ ? ]y +[ ]
Answer:
12y+9
Step-by-step explanation:
What are some of the more significant limitations of mathematical models as imitators/predictors of natural phenomena
Answer:
See explanation
Step-by-step explanation:
A mathematical model refers to a mathematical function that describes natural phenomena.
Models are used to approximate natural phenomena hence they are not really exact representations of reality. Thus mathematical models are inherently imperfect and so is our understanding of natural phenomena represented by these mathematical models.
The mathematical parameters used in models to represent real processes are uncertain since they are determined from experiment or represent more than one process.
Lastly, the initial and the boundary conditions in a model may not be explicitly established.