The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square
centimeters. Find the dimensions of the rectangle.
The width is
and the length is
Answer:
width 5
length 7
Step-by-step explanation:
W * L = 35
L = 4 * W - 13
W * (4W-13) = 35
4 W^2 - 13 W - 35 = 0
delta = 169 + 4*4*35 = 729 = 27^2
W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)
L = 4 * 5 - 13 = 7
The length and width of the rectangle are 7 cm and 5 cm respectively.
What is a rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
Given that, the length of a rectangle is 13 cm less than four times its width. Its area is 35 cm².
We know that, the area of a rectangle = length × width
Let the width of the given rectangle be w,
According to question,
length = 4w - 13
Therefore,
(4w - 13) × w = 35
4w² - 13w = 35
4w² - 13w - 35 = 0
Factorizing, we get,
w = 5 and w = -7/4
Therefore, width = 5
Length = 20 - 13
Length = 7
Hence, the length and width of the rectangle are 7 cm and 5 cm respectively.
Learn more about rectangle, click;
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Which statement is true?
Answer:
[tex] (\sqrt[m]{ {x}^{a} } ) ^{b } = \sqrt[m]{ {x}^{ab} } [/tex]
The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.
The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________
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Answer:
x(x+2) = 637, 9-9, -7Step-by-step explanation:
If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...
x(x +2) = 63
__
The equation can be rewritten as ...
(x +1)² = 64
x = -1 ±√64 = -1 ±8
The positive solution is x=7, so the positive set of integers is {7, 9}.
The negative solution is x=-9, so the negative set of integers is {-9, -7}.
what is 4 1/8 - 2 2/3 to the nearest whole number
Answer:
1 11/24
Step-by-step explanation:
:))
find the volume of the cone Diameter:10 m and Height:10m, round to the nearest whole number
Answer:
und wey kennen diese Antwort oder Art und Weise nicht, wie Sie sie wahr übersetzt haben
A circle's area is directly proportional to its radius squared.
What is the constant of proportionality (to 2 decimal places)?
(Area of a circle = rr2)
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Answer:
3.14
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr²
The constant of proportionality is the constant in this equation: π. To two decimal places, the value of π is 3.14.
The constant of proportionality is about 3.14.
How do you balance these Chemical equations?
1.C+ ZnO= Zn+CO2
2.Pb+HCl=PbCl2+H2
Please show your work.
Answer:Zno C Zn co2
Step-by-step explanation:
C is a reducing agent, ZnO is an oxidizing agent. ; White, odorless solid.
Alan has forgotten his 4-digit PIN code. He knows the first digit is odd, and the last digit is a 5. How many different sets of 4 digits could it be?
Answer:
72
Calculate one by one:
9P2
For the data set shown in the scatterplot, what is the BEST approximation of the y-intercept for the line of best fit? A) 0 B) 50 C) 125 D)200
Answer:
C) 125Step-by-step explanation:
If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.
The best estimate is choice C) 125
Solving a word problem on proportions using a unit rate
Alonzo drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 469 miles?
Answer:
7 hours
Explanation:
Divide 5 and 335 then multiply by 469
because 5 / 339 will be time for one mile and then multiply by 469 will be number of hours for 469 miles
5 / 339 × 469 =7 hours
If a certain roundabout has diameter of 96 feet,
about how far would a car travel if it drove once
around?
A. 150.8 feet
B. 301.6 feet
C. 348.5 feet
D. 7,238.2 feet
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Answer:
B. 301.6 ft
Step-by-step explanation:
The circumference of the circle is given by the formula ...
C = πd
For a diameter of 96 ft, the circumference of the circle is ...
C = π(96 ft) ≈ 301.593 ft
The car would travel about 301.6 feet.
I need questions 1 , 2 ,3 answered please :)
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Answer:
54°both are 73°x = 12Step-by-step explanation:
Some useful relations are ...
A triangle inscribed in a semicircle is a right triangle.
Acute angles in a right triangle are complementary.
An inscribed angle is half the measure of the arc it intercepts.
The sum of arcs around a circle is 360°; 180° around a semicircle.
__
1. Arc DF is twice the marked inscribed angle, so is 126°. Arc FE is supplementary to that, so is ...
arc FE = 180° -126°
arc FE = 54°
Alternate solution: arc FE is twice angle D, which is the complement of 63°.
2(90° -63°) = 2(27°) = 54° = arc FE
__
2. Arc GJ = 360°-68° -31° -115° = 146°
angle GHJ = angle GIJ = 146°/2 = 73°
__
3. arc UT = 2(90° -43°) = 94°
9x -14 = 94
9x = 108 . . . . . add 14
x = 12 . . . . . . . . divide by 9
Which of the decimals or fractions is not equal to 0.825 or ?
loo
.
O
0.625
10
16
O 0.85
33
40
I'm confused can u tell me the question in comments
Anychance anyone can answer this?
Answer:
-3: C
-2: F
-1: A
6: D
Step-by-step explanation:
-3+2 = -1
-1 = (-1)^3
-3: C
-2+1 = 0
0 = 0^3
-2: F
-1+2 = 1
1 = 1^3
-1: A
6 + 2 = 8
8 = 2 x 2 x 2 = 2^3
6: D
volume of a cylindrical can of juice is 500cm3 and the diameter of its base is 8 cm find the height of the can of pineapple juice
Answer:
Height = 2545.45cm
Step-by-step explanation:
Volume of cylinder = pie r^2 h
500 = 22/7*4*4*h
500*7/22*16 = h
2545.45cm = h
Of the 31 teachers at Keenan's high school, 14 are female. What is the ratio of the number of female teachers to the number of male teachers?
Answer:
The answer is 14:17
Step-by-step explanation:
31-14 is 17 and 14 are female and 17 are male so we do 14:17
PLEASE HELP I NEED HELP NO SCAM LINKS
Answer:
D
Step-by-step explanation:
Answer:
A - the X intercept will be negative
If you need further guidance, I'm here to help!
~ PumpkinSpice1
4. The sum of two integers is -1. The product of the
integers is 72. Find the integers.
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Answer:
none such
-9 and +8 have a sum of -1 and a product of -72
Step-by-step explanation:
There are no two integers with the same sign that have a product of +72 and a sum of -1.
The two integers -9 and +8 have a product of -72 and a sum of -1.
Which one is right can y help me
Answer:
What are you trying to find out? Like what do you mean by which one is right?
Step-by-step explanation:
Please solve and show your work. Thank you! I will mark brainiest :)
Answer:
x=22.5
Step-by-step explanation:
Make a ratio
The names of the triangle help with this.
AB is similar to FG, and AC is similar to FH (the missing side)
6/15 = 9/x
cross multiply
6x=135
divide both sides by 6
x=22.5
Answer:
X=22.5
Step-by-step explanation:
6/9=15/x
135=6x
22.5=X
6)
(y = -2x + 9
(5x - 2y = 18
yo i need help
Answer:
use the app photomath
Step-by-step explanation:
Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10
Answer:
2×2×5×5
Step-by-step explanation:
1st of all they are prime factors
if multiplied give us 100
Answer:
2 × 2 × 5 × 5 is the correct one
Step-by-step explanation:
Got it right on edge
1. Select all the relationships that demonstrate a positive association between variables.
(Sketch a graph if needed in order to identify a positive relationship)
A. Outside temperature and cost to heat a home
B. Number of people in a grocery check-out line and how long you have to wait to check out
C. Length of time you have walked and distance you have traveled
D. Pounds of cherries you buy and amount of money you spend on cherries
E. Speed of a train and the amount of time it takes for the train to get to its destination
The radius of a cylindrical water tank is 4.5 ft, and its height is 8 ft. What is the volume of the tank?
I will give brainlyist and extra points for correct answer ( no links )
Answer:
7. 56
8. 117
Step-by-step explanation:
7.
Add the lengths of the sides. Each square on the grid has side 2 units.
9 + 4 + 4 + 8 + 11 + 3 + 2 + 15 = 56
8.
Find the lengths of the bases and the height of the trapezoid. Each square on the grid is 2 units.
Area of trapezoid = (1/2)(b1 + b2)h
area = (1/2)(15 + 11)(9) = 117
What is it i’m really really really confused about it lollll
Answer:
it would be D
So, when they say quantities that combine to make 0, that means you have to lose, and then gain the same amount back.
If you look at all the other choices, they either keep on gaining or they don't gain the same amount they lost
Think about it as breaking even. You aren't actually gaining anything if you are gaining back the exact same amount you lost.
Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final
Answer:
first one is (d) second one is (b)
Step-by-step explanation:
The area of a rectangle is 36x^2 — 100y^2. Determine the length and the width of the rectangle.
Answer:
the length is represented by (6x + 10y) and the width by (6x - 10y)
Step-by-step explanation:
36x^2 - 100y^2 is the difference of two squares, so we need only factor this expression to obtain the length and width.
Recall that a similar difference, a^2 - b^2, comes out to (a - b)(a + b).
Thus, (36x)^2 = (100y)^2 = (6x - 10y)(6x + 10y).
Let's assume that the greater measurement, the length, is represented by (6x + 10y) and the width by (6x - 10y)
Find the area. The figures are not drawn to scale.
12.
(1 point)
4 cm
6.9 cm
O 13.8 cm2
O 10.9 cm2
O 27.6 cm2
O 55.2 cm?
Answer and step-by-step explanation:
If it is a rectangle, the formula is:
L * W
Fill in the values:
4*6.9
Then solve.
27.6
So, if it is a rectangle, the answer is (C), 27.6 Inches squared.
If it is a triangle, the the formula is:
(B*H)/2
Fill in the values:
4*6.9/2
Simplify:
27.6/2
Then solve.
13.8
So, if it is a triangle, the answer is (A), 13.8 Inches squared
Hope this helps!
need help solving these 4 problems
Answer:
A)5
D) Z
I dunno
D) X
number 68 I dunno sorry
Answer:
66) A) 5
67) D) Z
68) D) T
69) D) X