Answer:
Step-by-step explanation:
That will be a square with a diagonal of 20
side length of 20sin45
and area of (20sin45)² = 200 units²
prove it you say?
Area of a rectangle is base times height
A = bh
With a radius of 10, the diagonals of any rectangle inscribed will be 20 units
20² = b² + h²
h = [tex]\sqrt{400 - b^2}[/tex]
A = bh
A = b[tex]\sqrt{400 - b^2}[/tex]
Area will be maximized when the derivative is set to zero
dA/db = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]
0 = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]
b²/[tex]\sqrt{400 - b^2}[/tex] = [tex]\sqrt{400 - b^2}[/tex]
b² = 400 - b²
2b² = 400
b² = 200
b = [tex]\sqrt{200}[/tex]
h = [tex]\sqrt{400 - b^2}[/tex]
h = [tex]\sqrt{400 - \sqrt{200}^2 }[/tex]
h = [tex]\sqrt{200}[/tex]
A = bh
A = [tex]\sqrt{200}[/tex]•[tex]\sqrt{200}[/tex]
A = 200 units²
Solve for x. Round to the nearest hundredth. 10^x = 42
Answer: The answer is 1.62.
Explanation: It is in the image.
Find the area of the shaded region below.
Answer:
145
Step-by-step explanation:
yeah-ya...... right?
solution to the system
y=-x2-3x+2
y=x+6
Answer:
[tex]x=-2,y=4[/tex]
Step-by-step explanation:
[tex]y=-x^2-3x+2[/tex]
[tex]y=x+6[/tex]
[tex]x+6=-x^2-3x+2[/tex]
[tex]x^2+x+6=-3x+2[/tex]
[tex]x^2+4x+6=2[/tex]
[tex]x^2+4x+4=0[/tex]
[tex](x+2)(x+2)=0[/tex]
[tex]x=-2[/tex]
[tex]y=(-2)+6=4[/tex]
Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 24 miles, how much will her mother donate?
Answer:
4 dollars and 80 cents
Step-by-step explanation:
24 times 20 is 480 but its money so u would say $4.80.
Find the percent increase. Round to the nearest percent. From 95 books to 153 books
Answer:
62%
Step-by-step explanation:
(The part/ the whole)× 100
(95/153) = 0.62
0.62×100 = 62%
can I have some help?
Answer:
[tex]x = \sqrt{58} [/tex]
Step-by-step explanation:
first, you should draw a line to separate the triangle from the rectangle
You can get the height if the triangle by saying 16-9
This will give you 7
The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal
Now that we have the measurements of the triangle we can use the Pythagorean theorem
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {x}^{2} = {7}^{2} + {3}^{2} [/tex]
[tex] {x}^{2} = 49+ 9[/tex]
[tex] {x}^{2} = 58[/tex]
[tex]x = \sqrt{58} [/tex]
Number 8 Please!!!!!
Thank You!!!
Answer:
x = 2 + 5i√2 / 6 and x = 2 - 5i√2 / 6
Step-by-step explanation:
If this isn't right, I'm sorry. Also, you can put x = 2 ± 5i√2 /6 to make it shorter and not have two answers. Hope this helps :)
Y= (3x-4)3
Y=(2-4x)3
Y=(3x6-2x4)4
Answer:
y=24
Step-by-step explanation:
Mark each equation with the number that makes it true!
Answer:
Check step-by-step
Step-by-step explanation:
18 + s = 33 = (15)
27 = 9 • s = (3)
40 - s = 23 = (17)
5 • m = 35 = (7)
18/s = 3 = (6)
m/5 = 10 = (50)
m + 14 = 18 - m= (2)
m + m + 12 = 22 (5)
n + 7 = 18 (11)
n - 9 = 22 (31)
Have A good day! Let me know if this helps!
I don’t understand this question can you please help me ?.
Answer:
Girl: YES = 12 ; NO = 38
Boy: YES = 29 ; NO = 21
Total: YES = 41 ; NO = 59
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
51.33333333 just round it plz
Answer:
51
Step-by-step explanation:
The answer would be 51 because the numbers behind the decimal are below 5
Answer:
51
Step-by-step explanation:
51.33333333 rounds to 51 because 3 is less than 5.
When rounding, always look at the number before the first number in front of the decimal. If it is more than 5, round up. If it is less than, round down.
help please its overdue
Answer:
B) 4cm
Step-by-step explanation:
Hope this helps! Pls give brainliest!
-3x-8? I would like to know the steps also
Answer:
24
Step-by-step explanation:
a - and a - make a +
so -3 x -8 becomes positive
so 3 x 8 = 24
Pls help me I’ll brainlest ASAP
Choose the best selection for the quadrilateral with vertices at the following points: (-2,0), (0,4), (4,0), (6,4) Hint: Start by graphing the points. Distance Formula: d= (x2 – x1)2 + (y2 – yı)? + B. Parallelogram a. Rectangle D. Trapezoid Rhombus
The best selection for the quadrilateral with the given vertices is: parallelogram.
Recall:
Parallel lines are lines do not intersect and they are equal distant apart.
The opposite side of a parallelogram are of equal length.
Thus, the points of the vertices of the quadrilateral has been graphed in the diagram shown below:
Point A (-2,0)
Point B (0,4)
Point C (6,4)
Point D (4,0)
Find the distance between each vertices using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Distance between Point A (-2,0) and Point B (0,4):
[tex]AB = \sqrt{(0 -(-2))^2 + (4 - 0)^2} \\\\\mathbf{AB = \sqrt{20} }[/tex]
Distance between Point B (0,4) and Point C (6,4):
[tex]BC = \sqrt{(6 - 0)^2 + (4 - 4)^2} \\\\\mathbf{BC = 6 }[/tex]
Using the same distance formula, CD = √20 while AD = 6
This means that the opposite sides of the quadrilateral with the given vertices are equal in length. Parallelogram has two pairs of equal sides.
Therefore, the best selection for the quadrilateral with the given vertices is: parallelogram.
Learn more about Parallelogram on:
https://brainly.com/question/12167853
PLEASE HELP!!
what is the intermediate step in the form (x+a)^2=b as a result of completeting the square for the following equation?
x^2-34=16x
Answer:
1: x =(16-√392)/2=8-7√ 2 = -1.899
2: x =(16+√392)/2=8+7√ 2 = 17.899
Step-by-step explanation: I found two solutions it’s either one or two.
I hope this helped :) I tried my best.
Graph the line with slope -2/3
passing through the point (-4,5).
Answer:
graph this equation
y = -2/3x 7/3
Step-by-step explanation:
y-5=-2/3(x--4)
y-5 = -2/3x - 8/3
y = -2/3x 7/3
Write a number using the following clues:
a multiple of 6
• greater than 30 but less than 90
Answer: The answer is 36(multiple possible answers though).
Pre college need help thiss
Answer:
25
-35
5
Step-by-step explanation:
yeah-ya.............. right?
solve for X:
10( x + 1) = 2 x-7
-1
-3
-17/8
-18/8
-17/8
Step-by-step explanation:
10( x + 1) = 2 x-7
10x + 10 = 2x - 7
10 + 7 = 2x - 10x
17 = - 8x
x = -17 /8
Answer:
Hiya There....!!!
______________________
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = − 17 /18Decimal Form:
x = − 2.125
Mixed Number Form:
x = − 2/ 1 8
_______________________
“To forgive is wisdom, to forget is genius. And easier. Because it's true. It's a new world every heart beat.”
― Joyce Cary, The Horse's Mouth
__________________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
Given
f(x) = 3x^2+ 2x – 1 and g(x) =4x- 5find (gof)(-2)
Answer:
27
Step-by-step explanation:
yeah-ya......... right?
What is the next whole number after 267 In base 8
The next number would be 270₈. The given number has an digit expansion of
267₈ = 2•8² + 6•8¹ + 7•8⁰
If x is the next number, then adding 1 to the both sides gives
x = 2•8² + 6•8¹ + 7•8⁰ + 1
x = 2•8² + 6•8¹ + 7•8⁰ + 1•8⁰
x = 2•8² + 6•8¹ + 8•8⁰
x = 2•8² + 6•8¹ + 1•8¹
x = 2•8² + 7•8¹
x = 2•8² + 7•8¹ + 0•8⁰
and so x = 270₈.
What is the answer to this 1/3(n+1)=1/6(3n-5)
Answer:
n=7
distribute 1/3 by 1/3 and 1 then distribute 1/6 to 3n and 5 combine like terms for both sides simplifying to -n=(-7) divide - by n and -7 getting you n=7.
What is the area of a triangle with a base of √10 and a height of √13 Will mark brainliest
Answer:
the answer is shown on the photo!
Answer:
a=570
Step-by-step explanation:
correct sure
Evaluate the given expression for x = 4.
x? + 5x - 8
Answer:
16
Step-by-step explanation:
[tex]x = 4 \\ 4 + 5(4) - 8 = 16[/tex]
If answer is correct you will be marked as brainliest
What is the discriminant of the polynomial below?
4x^2+4x+1
A. 32
B. -12
C. -4
D. 0
Answer:
Discriminant is [tex] {b}^{2} - 4 \times a \times c [/tex]
[tex]16 - 4 \times 4 \times 1 = 0[/tex]
Karen has 7/8 cup of ice cream. How many 1/3 cup servings can she make ?
Answer:
She can make 4 1/3 cups
Step-by-step explanation:
Answer:
2.625 should be your answer
Step-by-step explanation:
hope you have a good day!
There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.
Answer:
His mother baked 7 more cookies
Name:
Unit 4: Congruent Triangles
Date:
Per: :
Homework 1: Classifying Triangles
H
** This is a 2-page document!
Directions: Classify each triangle by its angles and sides.
1.
2.
73
15.6 m
73°
349
14,4 m
6 m
3.
7 in
123
4.
3 mm
10 in
15 in
3 mm
3 mm
5.
6.
34 m
34 m
2011
72
17
177
489
48 m
60
22 it
7.
8.
600
20
24 in
604
15 in
106
15 in
O
16.
Step-by-step explanation:
is it like this ? no diagrams ?
An M&Ms factory produces 109,500,000 M&M’s every day. About 1/5 of its M&Ms are yellow. Find the number of yellow M&M’s produced at this factory
Answer:
It's not possible to answer precisely. About 1/5 of 109,500,000 is equal to about 109,500,000*.2 which is about 21,900,000.
Step-by-step explanation:
The first thing to note is that the amount of yellow M&Ms isn't precisely 1/5th. It's about 1/5th.
So, applying the math, 109,500,000 times 1 and divided by 5 = 21,900,000, but that's not the answer, because of the uncertainty.
The answer has to be "about 21,900,000."