Answer:
Step-by-step explanation:
x-2y = 2
-x+2y = 2
set 1st eq. equal to 2nd equation since they both equal 2
x -2y = -x + 2y
2x = 4y
x = 2y
1/2x = y
(x, 1/2x ) :P
Sean is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 16 inches × 15 1/4 inches. He needs to cut another rectangle that is 10 1/2 inches by 10 1/4 inches. How many total square inches of construction paper does Sean need for his project?
Answer:
the total square inches of the construction paper is 351.63 square inches
Step-by-step explanation:
The computation of the total square inches of the construction paper is shown below;
= (16 × 15 1 ÷ 4) + (10 1 ÷2 × 10 1 ÷ 4)
= (16 × 61 ÷ 4) + (21 ÷ 2 × 41 ÷ 4)
= (16 × 15.25) + (10.5 × 10.25)
= 244 + 107.625
= 351.63 square inches
Hence, the total square inches of the construction paper is 351.63 square inches
We simply added these two
Solve the problem.
20) You have 340 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle
that maximize the enclosed area.
A) 87 ft by 83 ft
B) 170 ft by 42.5 ft
C) 170 ft by 170 ft
D) 85 ft by 85 ft
Answer:
QUADRATIC FUNCTIONS AND EQUATIONS
Danielle N. asked • 11/25/17
You have 356 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.
(Hint: Write formula for area as a quadratic function of length and use the concept of maximum value of quadratic function)
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Michael J. answered • 11/25/17
TUTOR 5 (5)
Effective High School STEM Tutor & CUNY Math Peer Leader
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Let length = x
Let width = y
Area = xy
Perimeter equation is
2(x + y) = 356
x + y = 178
Substituting the perimeter equation in the area formula,
Area = x(178 - x)
Area = -x2 + 178x
If the zeros of this quadratic are 0 and 178, then the median is where the maximum area occurs.
178 / 2 = 89
Therefore, the dimensions are
length = 89 feet
width = 178 - 89 = 89 feet
Maximize the enclosed area of the rectangle is 85 ft by 85 ft.
What is perimeter of rectangle?Perimeter of rectangle is defined as addition the lengths of the rectangle's four sides.
Let length = a
Let width = b
Area of rectangle = ab
Perimeter of rectangle equation is 2(a + b)
2(a + b) = 340
a + b = 170
Substitute the perimeter equation in the area formula,
Area = a(170 - a)
Area = -a² + 170a
If the zeros of this quadratic are 0 and 170, then the median is where the maximum area occurs.
170 / 2 = 85
Therefore, the dimensions are
length = 85 feet
width = 170 - 85 = 85 feet
The rectangle is a square.
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 18
and AC 36, what is the length of AD?
A
D
36
18
B
Answer:
8 is the length
Step-by-step explanation:
The length of AD is 9 units from the given right triangle ABC.
What is a right triangle?A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.
Given right triangle ABC with altitude BD drawn to hypotenuse AC.
Given that, AB = 18 and AC = 36
Using Pythagoras theorem
AC²=AB²+BC²
⇒ 36²=18²+BC²
⇒ BC²=1296-324
⇒ BC²=972
⇒ BC=31.18 units
We know that, area of a triangle =1/2 × Base × Height
= 1/2 × 31.18 × 18
= 280.62 square units
Now, area of a triangle ABC with base AC and height BD
That is, Area = 1/2 ×36×BD
⇒ 18BD=280.62
⇒ BD=280.62/18
⇒ BD=15.6
Consider ΔBDA
AB²=AD²+BD² (Pythagoras theorem)
18²=x²+15.6²
⇒ x²=18²-15.6²
⇒ x=9 units
Therefore, the length of AD is 9 units from the given right triangle ABC.
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What is Find the range of the following data set:
52, 48, 57, 47, 49, 60, 59, 51, 60 plz lmk!!!!!!!!!!!!!!
Answer:
13
Step-by-step explanation:
60 - 47 = 13
If a figure can be rotated n times, it has how many lines of rotational symmetry?
Answer: n + 1
Step-by-step explanation:
The next model of a sports car will cost 5.6% less than the current model. The current model costs $52,000. How much will the price decrease in dollars? What
will be the price of the next model?
Answer:
49,088
Step-by-step explanation:
First you need to find 5.6% of 52,000. Simply multiply 52,000 by 0.056 (change the percent to a decimal) then you get 2,912.
Second, you need to subtract 2,912 from 52,000 which is 49,088
Pls help meeeee and thank you so so so much
Answer: 1/3 x + -1
Step-by-step explanation:
Answer:
y = 2x -1
Step-by-step explanation:
Use slope intercept. The line is rising by 2 points and the y-intercept lies at -1.
convert 0.00001 to a power of 10
Answer:
1 × 10⁻⁵
Step-by-step explanation:
pls help
3(x+2)=3x < 2x+18
Answer:
Step-by-step explanation:
3x + 6 - 3x < 2x + 18
6 < 2x + 18
-12 < 2x
-6 < x
Solution Set = {-5,-4,-3,-2,-1,0......}
Please mark as brainliest for further answers :)
write an equation of the line that passes through 3,1 and 0,10
Answer:y = -3x + 10
Step-by-step explanation:
To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:
where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.
Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:
So the slope between the two points is -3.
From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:
y = mx + b
plug in -3 for m (the slope) and 10 for b (the y-intercept)
y = -3x + 10
So now we have our equation.
I hope you find my answer and explanation helpful. Happy studying. :)
PLS HELP
Find (a) the perimeter and (b) the area of the figure. Use 3.14 or 22
for it. Round your answer to the nearest hundredth, if necessary.
-3 ft-
tep-by-step explanation: Ta
Find the area of the circle
Answer:
Q.3 area of circle=pi×r²
area of circle=3.14×(9mm)²
area of circle =254.34mm²
Q.6 area of circle= 3.14×(1.5in)²
area of circle =7.065in²
Answer:
wait what was the question gsdnABNEfglaabgjggse?????
Step-by-step explanation:
the temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temperature drop
Answer:
11
Step-by-step explanation:
2-8 you need to minus the first number
Please find where the minimum value occurs. And find the minimum value.
Answer:
The minimum value would be -4.
Meredith went to an aquarium with some of her friends. The tickets cost $12.95 each, and they spent $38 on souvenirs. The total amount spent was $115.70. Which equation can be used to determine how many tickets, t, were purchased?
Answer:
12.95t+38=115.70
Step-by-step explanation:
Can someone help me with this. Will mark brainliest.
diagonals of a parallelogram bisects each other making an angle of 90°.
so, your answer is True
Answer:
A. True
Step-by-step explanation:
The diagonals of a parallelogram do always bisect each other. However, they only form right angles if the parallelogram is a rhombus or a square.
Help please :(
CROWN ???
Answer:
7&8 both true
9 is false
Step-by-step explanation:
tghdhfshj
Answer:
True
True
False
Step-by-step explanation:
2(7) -3 = 14 -3 = 11
2(8) -3 = 16 -3 = 13
2(9) - 3 = 15
The answer has to be less than 15
Find the length of a diagonal of a square with a perimeter of 16.
Answer:
4√2
Step-by-step explanation:
If a square has a perimeter of 16, then its side lengths are 4.
Use the pythagorean theorem to find the diagonal.
4^2+4^2=c^216+16=c^232=c^2c=√32√32 can be simplified to 4√2.
The length of the diagonal of the square whose perimeter is 16 is 4√2
What is diagonal of the square?
The length of a diagonal is equal to the length of a side multiplied by the square root of 2
Given data ,
Let d be the diagonal of a square
Perimeter of square = 16
Perimeter of square = 4 x A
16 = 4 x A
A = 4
Therefore , diagonal of square is = 4√2
Hence ,The length of the diagonal of the square whose perimeter is 16 is 4√2
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SOMEONE PLS HELP ASAP I RLLY NEED HELP PLS DONT BE A BOT PLS AND TY
Answer:
x = 4
Step-by-step explanation:
Given a tangent and a secant from an external point, then
square of the hypotenuse is equal to the product of the external part and the entire secant, that is
DB × CB = AB² , that is
9x = 36 ( divide both sides by 9 )
x = 4
50 points!!! Will mark brainliest if correct!! Pls help me!!
Answer:
3rd option is correct, give me brainiest
Add fractions with unlike denominators
Answer:
1 5/12 i think im sorry if i get it wrong.
Step-by-step explanation:
3n^2+4m+5
A. 2
B. 3
C. 4
D. 5
Answer:
3?
Step-by-step explanation:
3n²+4m+5
3n²+(4m+5)
=3n²+9m
=3n²/9m;(3÷9)(n²÷m)
=1n²/3m
=n²/3m
Q. Identify the slope-intercept equation
The Jacksons and the Simpsons were competing in the final leg of the Amazing Race, which was 240240240 kilometers long. In their race to the finish, the Jacksons immediately took off traveling at an average speed of vvv kilometers per hour. The Simpsons' start was delayed by an hour. When they eventually took off, they traveled at an average speed that was 404040 kilometers per hour faster than the Jacksons' speed. Sadly for them, that didn't help, and the Jacksons won. Write an inequality in terms of vvv that models the situation.
Answer:
240/(v+40) + 1 > 240/v
Step-by-step explanation:
Both parties traveled a distance of 240 km.
Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1
Jacksons took off at average speed of v km/h: 240/v
An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v
How to write an inequality?We are told that distance travelled by both Jackson and Simpson is 240 km each.
Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v
The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;
Time taken = [240/(v + 40)] + 1
Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v
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i literally don't understand this at all.
Answer:
its just exaplining how does this exrcise work example 1^1 would be 1x1/
1^3 1x1x1x1/ 3^5 3x3x3x3x3/ 3x3=9 9x3 =27 27x3 =81 81x3=243
Step-by-step explanation:
If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure?
Figure is composed of a right square pyramid on top of a square prism. The sides of the square pyramid are equal to the sides of the square prism, the length and width of the square prism is w, the height of the square prism is x, and the height of the square pyramid, which forms a right angle with the center, is y.
Answer:
240 units^2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
178^2 units
could anybody help me pls
Answer:
all of them are much larger except number 2 which is close to 1
Step-by-step explanation:
Use the information in the picture.
Is it a parallelogram? YES
NO
If yes, give the theorem:
A camping store is having a summer sale. Stoves are being sold at 40% off. If the sale price is $57 what was the original price of the stove before the sale
Answer:
The original price was $142.5.
Step-by-step explanation:
40 ÷ 100 = 0.4
$57 ÷ 0.4 = $142.5
Therefore, $142.5 is our answer.
Answer:
142.5
Step-by-step explanation:
Let's say the original price of the store before the sale is x
so 40% x X = $57
40/100 (X ) =57
0.4 (X) = 57 ====> X = 57 / 0.4 = 142.5
The original price of the stove before the sale is $ 142.5
Geometry
I just don’t understand this easy math, someone help
Answer:
Point R: (-2,0)
Point A: (-6,-2)
Point N: (-1,-3)
Step-by-step explanation:
Reflecting a shape across the y-axis means that the y value of the coordinate of the points would reverse its sign, meaning for eg a negative number would turn into a positive one or a positive would turn into a negative.
So in this case, point R would stay the same because it's on the y-axis but the two points A and N would change. Point A is (-6,2) so if we change the y coordinate we would get (-6,-2) and point N is (-1,3) so it would become (-1,-3). Therefore the answer is:
Point R: (-2,0)
Point A: (-6,-2)
Point N: (-1,-3)