Step-by-step explanation:
let the width = y
the length =y-10
area of rectangle=length ×breadth
171 =y-10×y
171=y^2-10y
it turns into quadratic equation
y^2-10y+171=0
cant be solved by factorization therefore use general formula
y=-b+or-√(b^2-4ab)/2a
a=1 (coefficient of y^2) ,b=-10 , c=171
y=--10+or-√{10^2-4(1)(10)}\2(1)
y=10+or-√{100-40}\2
y=10+or-√60/2
y=10+or-(7.74/2)
y=10+3.87
y=13.87cm
OR
y=10-3.87
y=6.13cm
if y=13.87 then width is 13.87&length is 13.87-10
=3.87
OR
if y=6.13 then width is 6.13&length is 6.13-10=-3.87
Which statement is true?
y = 12(3)*
Growth Factor is 3
Decay factor is 3
growth factor is 12
decay factor is 12
Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble?
Answer:
120
Step-by-step explanation:
Blue marbles = 2
Red marbles = 3
Total marbles = 2 + 3 = 5
If a marble is drawn 300 times ;prediction for the number of times a blue marble will be drawn :
P(drawing a blue marble) = number of blue marbles / total number of marbles
= 2 /5 = 0.4
Predicted number of times blue is drawn in 300 selections :
300 * 0.4 = 120
Approximately 120 times
find the distance between the points (-4,-2) and (3,3)
Answer:
8.6
Step-by-step explanation:
Use the distance formula to find the distance between the two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
√[(3 - -4)² + (3 - -2)²]
√[(7)² + (5)²]
√[(49) + (25)]
√74
8.6
Can someone please help with this?
Answer:
true
Step-by-step explanation:
first find the median of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
HELP AGAIN PLEASE REEEEEEEEEEEEE
Answer:
3. D
4. A
5. B
Step-by-step explanation:
A rancher is building a new square corral for his horses. The total perimeter of the corral is 520m. What will the total area of the corral be?
Answer:
4*s= 520
s= 130
area=s*s=130*130=16900m^2
Step-by-step explanation:
Compare lengths. Write >, <, or = .
22 ft __ 7 yd 11 in.
At the start of the show there were 2000 liters of oxygen in the
studio Now that we are 10 minutes into the show, there are 1950 liters. Is
someone. breathing in here? What is their rate of oxygen consumption in liters do
per minute?
please help
Answer:
11,000
Step-by-step explanation:
PLS HELP ASAPPPP ILL GIVE BRAINLIEST OR WHATEVER NO LINKS!!!!!!!!!!!!!!!!!!
1) Power of a Product
2) Power Rule (or Power of a Power)
Answer:
-Number 1 is Power of a Power Property, I think
-Number 2 is Power of a Power Property
ill mark brainlist plss help
Please help me!!!
solve for f : 5/6 f =5
1. 5
2. 4.2
3. 7.3
4. 6
Answer:
6
Step-by-step explanation:
can someone pls help i’ll mark you brainliest pls pls pls it’s due in 10 min
Answer:
Step-by-step explanation:
1) r = 5mm; d = 10 mm
2) r = 6 cm; d = 12 cm
3) r = 9 m; d = 18 m
4) r = 8 km; d = 16 km
5) r = 11 m; d = 22 m
6) r = 15 mm; d = 30 mm
7) r = 13 km; d = 26 km
8) r = 7 cm; 14 cm
Complete the Square
x2 + 10x +
Answer:
( + 10)
Hope this helps you out
it takes 8 builders 12 days to build a wall .How long will it take for 4 builders to build the same wall ?
Answer:24
Step-by-step explanation:
write an equation in slope-intercept for the line that has a slope of 1/2 and goes through the point (4, 7)
Answer:
y = 1/2x + 5
Step-by-step explanation:
The formula for an equation is y = mx + b
m is the slope. It is given
y = 1/2x + b
b is the y-intercept
In this case, we must substitute to find the y-intercept
We are given coordinate pair (4,7)
Plug our pair in and we get => 7 = 1/2(4) + b
=> 7 = 2 + b
easily, we find b = 5
We get our equation: y = 1/2x + 5
Cheers!
Howard worked out the problem below and his answer is below. Is Howard correct? If not, where did he make his mistake? Explain and give the right answer.
What is 40% of 140?
4.8
Answer: 56
Step-by-step explanation:
Howard is incorrect the right answer is 56.
Or D : X=9
Choose one answer pls
Answer:
[tex]x=\sqrt{41}[/tex]
Step-by-step explanation:
Pythagorean theorem: [tex]a^{2}+ b^{2}=c^{2}[/tex]
Answer:
Option B
Step-by-step explanation:
Pythagorean Theron is:
[tex]a^2+b^2=c^2\\\\\text{a and b - legs}\\\text{c - hypotenuse}[/tex]
We would be solving for 'c', or the hypotenuse.
[tex]4^2+5^2=c^2\\\\16+25=c^2\\\\41=c^2\\\\\boxed{\sqrt{41}, -\sqrt{41} =c}[/tex]
The correct answer should be option B.
Hope this helps.
helps pls :-/
number 12
any help is greatly appreciated!
how are all angles in the 4th quadrant, negative or positive?
Answer:
They are all positive because you must go right.
They are all negative because you must go down.
Step-by-step explanation:
Example. (1,-4)
You go over one.
Down 4
what is the correct equation of the line shown at the right?
Answer:
F
Step-by-step explanation:
rise/run is 3/2 which is the number before the x and the y intercept (the last number in the equation) is 3
Show that the area of triangle DEF is 11 cm2.
9514 1404 393
Explanation:
The length CD can be found from the Pythagorean theorem.
CF² + CD² = DF²
2² + CD² = (2√10)²
CD² = 40 -4 = 36
CD = √36 = 6
From here, any of several methods could be used to find the area of ΔDEF.
One of them is to subtract the areas of the triangles that are not ΔDEF from the area of the rectangle ABCD.
area ABCD = bh = (6 cm)(5 cm) = 30 cm²
area ΔADE = 1/2bh = 1/2(4 cm)(5 cm) = 10 cm²
area ΔBEF = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm²
area ΔCDF = 1/2bh = 1/2(6 cm)(2 cm) = 6 cm²
Then the area of interest is ...
area ΔDEF = area ABCD -area ΔADE -area ΔBEF -area ΔCDF
area ΔDEF = (30 -10 -3 -6) cm²
area ΔDEF = 11 cm²
__
Alternate solution
If we define A as the origin of a coordinate system, then the coordinates of the vertices of ΔDEF are ...
D(0, 5), E(4, 0), F(6, 3)
The area can be computed as half the absolute value of the sum of the determinants of 2×2 matrices consisting of adjacent points.
[tex]A=\dfrac{1}{2}\left|\left|\begin{array}{cc}0&5\\4&0\end{array}\right|+\left|\begin{array}{cc}4&0\\6&3\end{array}\right|+\left|\begin{array}{cc}6&3\\0&5\end{array}\right| \right|\\\\=\dfrac{1}{2}|(0-20)+(12-0)+(30-0)|=\dfrac{1}{2}(22) = \boxed{11}[/tex]
_____
Additional comment
The solution using coordinates is effectively equivalent to the computation of the area of trapezoid ABFD, less the areas of triangles EBF and AED.
Which best describes the figure that is represented by the following coordinates?
A(-4, 3), B(2,3), C(3, -1) and D(-5, -1)
у
10-
a rectangle
8
6
a trapezoid
4
2
a rhombus
10-8
-6 -4
24
8
X
0
-2
a parallelogram
-4-
-6
-8
- 10
9514 1404 393
Answer:
(b) a trapezoid
Step-by-step explanation:
A graph of the points reveals one pair of parallel sides: a trapezoid.
Write an equivalent ratio described in the situation below. The ratio of boys to girls is 5/2
Answer:
5: 2 or 10: 4
Step-by-step explanation:
as a ratio, this would be 5: 2.
Im not sure if it's asking you to also make a new ratio that fits this, but if it is you could multiply both sides by 2 to get
10 : 4
Does anyone know the answer? I would really appreciate it!!
Answer:
B
Step-by-step explanation:
The answer is B hope that help
The circumference of a circle is approximately 131.88 centimeters What is the area of the shaded region (6/10 of a circle)
Answer:
82.97cm^2
Step-by-step explanation:
Given data
Circumference= 131.88 centimeters
We want to find the area of 6/10 part of a circle
Firstly, let us find the area of the circle
We need to get the radius
C= 2πr
131.88= 2*3.142*r
131.88=6.284r
r= 131.88/6.284
r=20.98 cm
Area= πr^2
Area= 3.142*20.98^2
Area= 3.142*440.16
Area= 1382.98cm^2
Hence 6/10 of a 1382.98
=0.06*1382.98
=82.97cm^2
Each car on a computer train holds 20 people. On a particular morning, 5 cars were 90% full and 3 cars were 65% full. If the people were rearranged to fill as many cars as possible, how many cars would be filled?
Answer:
7 cars
Step-by-step explanation:
The computation of the number of cars to be filled is shown below:
A car that is 90% full and the total people is 20 so 90% would be
= (.90)(20)
= 18
A car that is 65% full and the total people is 20 so 65% would be
= (.65)(20)
= 13
Now
Total number of people = (5)(18) + (3)(13).
= 129
Now the number of cars to be filled is
= 129 ÷ 20
= 6.45
= 7 cars
What are the solutions to the system of the equations graphed below?
Answer:
D
Step-by-step explanation:
Where the graphs intersect each other is where the solution is. The graphs intersect each other at the points (0,-8) and (4,8). Hope this helps!
I'll give brainliest to whoever answers correctly.
Answer:
29
Step-by-step explanation: pls dont get mad if it is wrong
<3<3<3<3<3<3
Answer:
29
<3<3<3<3<3<3
A turtle and a snail are 300 feet apart when they start moving towards each other. The
turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1
foot per minute.
How fast are they approaching each other?
Answer:
6 feet per minute
Step-by-step explanation:
Answer:
6 feet per minute.
Step-by-step explanation:
5ft + 1ft = 6ft per minute.
Aimee wants to order some DVDs from Amazon. Each DVD costs $8.49 and shipping for the entire order is $5. She has only $70 to spend. How many DVDs can she order?
Answer:
7 cds
Step-by-step explanation:
8.49*x +5=70 => 8.49*x=65 => x= 65/8.49 => x= 7 approximately