Answer: Length = 70 meters
Width = 31 meters
Step-by-step explanation:
Let the width of the rectangle be x.
Since the length of the base of the Parthenon is 8 meters more than twice its width. This will be: = 2x + 8
Area = 2170
Since length × width = area
(2x + 8) × x = 2170
2x² + 8x = 2170
Divide through by 2
x² + 4x = 1085
x² + 4x - 1085 = 0
x² + 35x - 31x - 1085 = 0
x(x + 35) - 31(x + 35) = 0
(x + 35) = 0 or (x - 31) = 0
x - 31 = 0
x = 0 + 31
x = 31
Width = 31 meters
Length = 2x + 8
= 2(31) + 8
= 62 + 8
= 70 meters
The rectangular base has a length of 70 meters and a width of 31 meters.
AreaArea is the amount of space occupied by a two dimensional object or figure. The area (A) of a rectangle is:
A = length * width
Let w represent the width, hence:
l = 2w + 8
Area = (2w + 8)w
2170 = 2w² + 8w
2w² + 8w - 2170 = 0
w = 31 m
l = 2(31) + 8 = 70 m
The rectangular base has a length of 70 meters and a width of 31 meters.
Find out more on Area at: https://brainly.com/question/25292087
Will mark brainly! 20 points please hurry and help!!
Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a nonincluded angle of 30°. Select all the triangles that he could have drawn.
The correct drawn triangle with an angle of 3 degrees is represented by A, B, and E.
What is geometry?Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.
Given that Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a nonincluded angle of 30°.
The triangle must have the properties given below:-
The triangle has the following characteristics: All triangles, regardless of kind, have an angle sum of 180 degrees.The length of a triangle's two longest sides added together is longer than the third side.Similarly to this, the length of the third side of a triangle third side is shorter than the difference between its two sides.The correctly drawn triangles are represented by triangles A, B, and E.
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Jerry plans on saving money for a trip by putting $1 in a savings account the first month and then adding
enough to double the amount in the account each following month. Write a function to show how much money Jerry will have in his savings account s (t) after t months
9514 1404 393
Answer:
s(t) = 2^(t-1)
Step-by-step explanation:
The amount in the account is the sum of the series ...
1 + 1 +2 +4 +8 +16 +...
We note that terms after the first are a geometric sequence with a first term 1 and a common ratio 2. The sum of such a sequence is ...
Sn = a1×(r^n -1)/(r -1) . . . . where n is the number of terms being summed
For our values, this simplifies to ...
Sn = 1×(2^n -1)/(2 -1) = 2^n -1
We notice here that the account balance is 1 more than this sum, and that n = t-1, so the balance a(t) is ...
s(t) = 1 +(2^(t -1) -1)
s(t) = 2^(t -1) . . . . . . the function showing how much Jerry has
will mark as brainlist please
Answer:
maximum
vertex at (-1,1)
axis of symm: x = -1
2 solutions
(-2,0) and (0,0)
Step-by-step explanation:
Julie deposited $500 into an account that earned 10% compound interest over 5 years. What is the account value earned after 5 years?
Answer:
$821
Step-by-step explanation:
A = p (1 + r/n)^nt
Where,
A = future value
P = principal = $500
r = interest rate = 10% = 0.1
n = number of periods = 12
t = time = 5 years
A = p (1 + r/n)^nt
= 500 (1 + 0.1/12)^12*5
= 500 (1 + 0.0083)^60
= 500 (1.0083)^60
= 500 (1.6420)
= 821
A = $821
NEED HELP FAST!!! picture is attached.
b.
Convert each rational number in the table to its decimal equivalent.
0
0
20
99
= 0.20
30
99
0.30
45
= 0.45
99
99
10
= 0.10
99
62
= 0.62
99
58
0.58
77
99
0.7
81
= 0.81
99
98
99
0.98
99
Do you see a pattern? Explain.
Can you find other rational numbers that follow similar patterns?
Answer:
0.39
Step-by-step explanation:
each one is below zero i guess
PLEASE HELP
What two numbers that add each other give you -7 but times it give you -120
Christian purchased t-shirts that cost $3 each, and shorts that cost $10 each. His total came up to $66. Let t-shirts be represented by X, and shorts, Y. Write an equation in standard form that represents the situation.
Need help Asap pls will give brainlest whatever it's call
Answer:
3(x)+10(y)=66$
Step-by-step explanation:
Answer:
3X + 10Y = 66
Step-by-step explanation:
The students in a science class recorded the change in high temperature for four consecutive days. On days when the
high temperature decreased, the change was recorded as a negative number. On days when the temperature
increased, the change was recorded as a positive number. Which day's temperature change was the greatest?
Day 1: -17°F
Day 3: 14°F
Day 2: -3°F
Day 4: 18°F
Answer:
Day 3
Step-by-step explanation:
Day 3 Changed by 17 F
Answer:
its day 4
Step-by-step explana
3(x+2)^2+7 in standard form
Answer:-2x^2+3x-7=0
Step-by-step explanation:
3. A line contains the points P (1,1) and Q (7,10) what is the slop of the line
Answer:
9/6 is the slope but that simplifies to 3/2
Step-by-step explanation:
y2-y1
x2-x1
10-1=9
7-1=6
I need help with these questions (see image). Please show workings.
Answer:
Q1. 37.3 cmQ2. (a) 8.66 cm (b) 17.3 cmStep-by-step explanation:
Question 1
GivenChord 1 c1 = 36 cmChord 2 c2 = 30 cmRadius r = d/2 = 50/2 = 25 cmChords are parallelTo find The distance between the chordsSolutionThe distance between the chords is sum of the distances between the center and the midpoint of the chords
The segments between the center to the midpoints of the chords for right triangles with one side being the radius.
The distance is:
h = h1 + h2 h1 = [tex]\sqrt{r^2 - (c1/2)^2} = \sqrt{25^2 - 18^2} = \sqrt{301}[/tex] ≈ 17.3 cm (rounded)h2 = [tex]\sqrt{r^2 - (c2/2)^2} = \sqrt{25^2 - 15^2} = \sqrt{400}[/tex] = 20 cmh = 17.3 + 20 = 37.3 cm------------------------------------------
Question 2
GivenEquilateral triangle inscribed into circleSide of the triangle is 30 cmTo findDistance between the center and the sideRadiusSolutionMidpoint of the side, the center and the vertex form a right triangle with 30° angle at the vertex.
Let the radius be r, the distance from the center to the side be h
Then we have:
r² = h² + (30/2)²As per property of 30°-60°=90° triangle, the side opposite to 30° is half of the hypotenuse. In this case, h = r/2 or r = 2h
Substitute r into equation above and solve for h:
(2h)² = h² + 2253h² = 225h² = 75h = √75 = 8.66 cm (rounded)Find the value of r:
r = 2*8.66 = 17.3 cm (rounded)Write an equation in slope intercept form for the given line (-7,2) and (5,8)
PLEASE HELP ASP 10 MINUTES LEFT TILL THE DEADLINE
Answer: y= 0.5x + 5.5
Step-by-step explanation: Y = mx + C
SLOPE INTERCEPT FORM:
First we need to find the slope of the two points. Which is y2-y1 / x2-x1.
8 is Y2 and 2 is Y1. 5 is Y2 and -7 is Y1. Plug those numbers into a calculator and solve. The slope (m) is 1/2 or 0.5
Then we have to find C as the slope intercept form is Y = mx + C. To find C we replace x and y with one of the points, and solve as an algebric equation. C will be 5.5
Evaluate: 4 + 8 / 2 • (6 - 3)
Answer:
4 + 8 / 2 · (6 - 3) = 16
Step-by-step explanation:
Use PEMDAS
Parenthesis first
6 - 3 = 3
the equation is now 4 + 8 / 2 · 3
divide 8 and 2 = 4
4 + 4 · 3
multiply 4 and 3 = 12
4 + 12
add 4 and 12 = 16
Write the number below as a fraction in its simplest form
0.569
Answer:
[tex] \binom{569}{1000} [/tex]
Step-by-step explanation:
Step 1:
[tex] \binom{0.569}{1} [/tex]
Step 2:
Then multiply both by 1000
[tex] \binom{569}{1000} [/tex]
It cant be simplifyed further so its in simplest form
6a+5=5 what is a in the equation?
Answer:
a = 0
Step-by-step explanation:
Given
6a + 5 = 5 ( subtract 5 from both sides )
6a = 0 , then
a = 0
4. Write an equation in slope intercept form for a line with a slope of 3/8
y-intercept = -4.
What is -536/4 as a mixed number?
Answer:
-134
We cannot make a "mixed number" because -536-4 can already be divided...
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As I like to keep my answers short, I hope you have a wonderful day!
Randal bought a game pack for $98.00. He found the same game pack at a different store for n dollars less. Which open sentence will be most helpful for finding the price of the game pack at the other store? A n - $98.00 = ? Bn x $98.00 = ? C $98.00 = n = ? D $98.00 - n = ?
Answer:
98.00 - n =
Step-by-step explanation:
The game he found is less than 98.00, which makes it subtraction.
Also, I see you with that Gaara profile picture... (0/-\0)
Answer:
I will try to find the answer right new
Step-by-step explanation:
Get as many people to answer this question will give brainiest for free!!!!
Answer:
huh?
Step-by-step explanation:
(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a - 2b) + b (b + 2a - c) (vi) 5 (x - y + z) + (4x + 3y) plzz solve
Answer:
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Step-by-step explanation:
Solving (i):
[tex]3 (a + 5b) + a (a + 4)[/tex]
Open brackets
[tex]3 (a + 5b) + a (a + 4) = 3a + 15b + a^2 + 4a[/tex]
Collect like terms
[tex]3 (a + 5b) + a (a + 4) = a^2 + 4a+3a + 15b[/tex]
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
Solving (ii)
[tex]y (10 - y) + 3 (y - 2)[/tex]
Open bracket
[tex]y (10 - y) + 3 (y - 2) = 10y - y^2 + 3y - 6[/tex]
Collect like terms
[tex]y (10 - y) + 3 (y - 2) = - y^2+10y + 3y - 6[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
Solving (iii)
[tex]2 (8a - 5b) + 3 (5a - 12)[/tex]
Open bracket
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a -10b + 15a - 36[/tex]
Collect like terms
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a+ 15a -10b - 36[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
Solving (iv)
[tex]3 (y - 3) + ( 8 - 6y + x)[/tex]
Open bracket
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x[/tex]
Collect like terms
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 6y + x- 9 + 8[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
Solving (v):
[tex]a (a - 2b) + b (b + 2a - c)[/tex]
Open bracket
[tex]a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc[/tex]
Collect like terms
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2 - bc[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
Solving (vi)
[tex]5 (x - y + z) + (4x + 3y)[/tex]
Open brackets
[tex]5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y[/tex]
Collect like terms
[tex]5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Lines c and d are perpendicular. The equation of line c is y=−12x+1. What is the equation of line d?
Answer:
y = 1/12x + b
Step-by-step explanation:
So lines that are perpendicular have a negative reciprocal slope.
If line c has a slope of -12, then line d has a slope of 1/12
So y = 1/12x + b would be perpendicular to c, where b is a constant
Divide 7/11 ÷ 21 fractions
Answer:
013838 logic
Step-by-step explanation:
7a+5=61 what is a in the equation
Answer:
a=8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
7 * 8 = 56
56 + 5 = 61
Hugo cut 15 short strips of paper then he cut 14 long strips how many strips of paper did he go cut in all
A.1 strip of paper
B.28 strip of paper
C.2 strip of paper
D.29 strips of paper
Answer:
D.) 29
Step-by-step explanation:
Add 15 and 14
Factories:
[tex] {6x}^{2} + 4xy - 3x - 2y[/tex]
answer plzz with formula plzz
Answer:
[tex][tex] {6x}^{2} + 4xy - 3x - 2y[/tex][/tex]
6x²+4xy-3x-2y
2x(3x+2y)-1(3x+2y)
(3x+2y)(2x-1) is your answer
Help im very confused....
Answer:
The answer is the last one. Nerve cell, nerves, brain, nervous system, and mouse. These go from the least complex to the most complex
Answer: nerve cell, nerves, brain, nervous system, mouse
Step-by-step explanation: the human body is more difficult to understand then just a mouse
HELP HELP PLEASE!! D:
Determine the missing side length:
Please don't give cap!
Answer:
c = 35
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 21^{2} + 28^{2}[/tex]
[tex]c^{2} = 1225[/tex]
[tex]\sqrt{c^{2} } = \sqrt{1225}[/tex]
[tex]c = 35[/tex]
Gary read 34 pages of a 340-page book. What percent did he read ?
Answer:
10%
Step-by-step explanation:
Please help me with the question I asked I’m doing a text please.
Answer:
Wait, what question?? I can try to do it.