Answer:
6 yds
Step-by-step explanation:
If we label the shorter side as x, the longer side can be represented as 2x + 2. Now, we can write an equation to model the situation. The area of a rectangle is the sides multiplied by each other:
84 = x(2x + 2)
84 = 2x^2 + 2x
Since all terms are divisible by two, we can divide both sides by it:
42 = x^2 + x
We can write the quadratic equation in standard form:
x^2 + x - 42 = 0
Now, we can factor. We are looking for numbers that multiply to -42 and add to 1. These numbers are 7 and -6. Factored the equation would be written as followed:
(x + 7)(x - 6) = 0
Using the zero-product property, we can obtain two equations and solve them:
x + 7 = 0
x = -7
x - 6 = 0
x = 6
Since the side of a rectangle can't be negative, the answer must be 6 yds.
Instructions. Find the Area Of the square
Wrong answer Report
Right answer Heart
19.ans> Given,
Side = 9 m
To,find: Area
We,know that,area of the square is = (side)²
We,know that,area of the square is = (side)² = 9×9
We,know that,area of the square is = (side)² = 9×9 = 81 m
20.ans> Given,
Side= 7 cm
We,know that,area of the square is = (side)²
We,know that,area of the square is = (side)² = 7 × 7
= 49 cm
Hope it helps you Byethe cost of a popular toy is $19.99 , Due to a limited supply , the store manager marks the price of the toy up by 15%. what is the new price ? HURRY PLEASE .
$22.99
Step-by-step explanation:
19.99 increased by 15% ≈ 22.99
Absolute change (actual difference):
22.99 - 19.99 ≈ 3
The difference is $3
A loan of 28,000 is made at 4% interest, compounded annually. After how many years will the amount due reach 48000 or more?
Answer:
The time is 13.7 years.
Step-by-step explanation:
principal, P = 28000
Rate of interest , R = 4 % annually
Amount, A = 48000
Let the time is t.
Use the formula of the compound interest.
[tex]A = P\times \left ( 1+\frac{r}{100} \right )^t\\\\48000 = 28000\times \left ( 1+\frac{4}{100} \right )^t\\\\1.71 = 1.04^t\\\\log 1.71 = t log 1.04\\\\t =\frac{0.233}{0.017}\\\\t = 13.7 years[/tex]
Select the complete subject of the sentence below. Brandon planned to win the race. Brandon planned Brandon planned to win Brandon planned to win the race Brandon
Answer:
i cant even process this.
Step-by-step explanation:
Write L if it is Likely to happen and Write U if it is unlikely to happen. Topic is probability
1. 2:3 __
2. 4:15 __
3. 3/10__
4. 13/21__
5. 6/16 __
6. 8:11 __
7. 9:20__
8. 11:25__
9. 5/16__
10. 7/12 __
11. 6:13__
12. 4:9__
13. 2:5 __
14. 19/45 __
15. 12/25__
Please make it quick
Answer:
1h b+h boi gate
Step-by-step explanation:
Find the sum of integers -72, 237, 84, 72, -184, -37
Answer:
100
Step-by-step explanation:
add positive numbers. then subtract the negative numbers.
If x < 0 and y < 0, what guadrant is the point (x, y) located
Answer: Third quadrant
This can be written as Q3 or QIII
This quadrant is in the southwest.
===========================================
Explanation:
There are 4 quadrants on the xy plane. They are separated by the x and y axis. Think of it like 4 separate rooms.
The first quadrant Q1 is located in the northeast where x > 0 and y > 0. Both x and y are positive together. An example point from this region would be something like (5,2)The second quadrant, Q2 or QII, is in the northwest. An example point from here is (-5,2). We can see that x < 0 and y > 0.The third quadrant (Q3) is where both x and y are negative. So x < 0 and y < 0. An example point would be (-5,-2). This quadrant is in the southwest.Finally, if x > 0 and y < 0, then we're in the southeast quadrant Q4. An example point is (5,-2)As you can see, the quadrants move in a counterclockwise fashion when going from Q1 to Q2 to Q3 to Q4.
Quadrants 1 and 4 have x,y that are the same sign together. Either they're both positive together, or they're both negative together. Quadrants 2 and 3 have x,y as opposite signs (one is positive and the other is negative).
what most likely caused the man in the caravan to come to the farmhouse where elisa lived? a.he had lost his dog in the vast,open areas b.he needed to purchase supplies c.the country roads confused him d. he was looking for an adventure
Answer: A. He had lost his dog in the vast, open areas.
Step-by-step explanation:
The Chrysanthemums" is a story about a woman whose name was Elisa Allen. She was frustrated about her present condition as she didn't have a child and her husband didn't find her romantically pleasing.
In the book, the reason why the man in the caravan came to the farmhouse where Elisa stayed was because he had lost his dog in the vast, open areas.
10-
10
A. Exponential growth
B. Linear increasing
C. Exponential decay
D. Linear decreasing
Solve for x.
-9x + 7 < 25
I don't know I don't know I don't know I don't know I don't know I don't know I don't know
If P=36 inches, find x and find the area
Answer:
x=4 Area = 56
Step-by-step explanation:
find x :
36 = 2 (3x + 2 + x) (simplify)
36 = 2 (4x+2) (divide both sides by 2)
18 = 4x + 2 (solve)
16 = 4x
4 = x
Find Area Substitute value of x
A= l × w
A = (3x + 2) × (x)
A = (3 × 4 + 2) × (4)
A = (12 + 2) × 4
A = 14 × 4
A= 56
hope this helps :)
Marlena is one-sixth the age of her mom. If Marlena is 5 years old, how old is her mom?
Answer:
30 years old
Step-by-step explanation:
If marina is one sixth of her mom age, and she is five years old. The multiply five times size to get her moms full age.
Answer:
30 yearsStep-by-step explanation:
Let,
Age of her mom be = x
Age of Marlena
[tex] = \frac{1}{6} x[/tex]
We know that,
Age of Marlena is 5 years
Therefore,
By the problem,
[tex] = > \frac{1}{6} x = 5[/tex]
=> x = 5 × 6
=> x = 30
Hence,
Age of her mother is 30 years (Ans)
Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn?
rounding and estimating
Answer:
Answer:$4.56
Step-by-step explanation:
Take $54.79 and subtract it by $50.23, to see the difference in how much more money Rachel earned.
54.79-50.23
$4.56
Hope this helps
thank you have a good day !!
How do I simplify rational expressions
Answer:
a rational expression is an expression that has a RATIO in it
look at the word "RATIO"nal
a ratio is just a fraction...
so your question is "how to simplify fractions"
lots of approaches, this is one of them...
PRIME FACTOR the numerator and denominator
[tex]\frac{90}{135}[/tex]
90 = 2 * 3 * 3 * 5
135 = 3 * 3 * 3 * 5
= 2/3 (the two 3's cancel and the 5's cancel)
Step-by-step explanation:
AE = x=4.875, and EC = 13-4.875 = 8.125.
If I place point E at a distance of 4.875 units from A on AC-that is, E15.875, 1)-then the ratio of the segments into which e divides AC is equal to
the ratio of AD to DB.
Question 3
Place point that you found in Question 2 on AC. Draw a line passing through D and E, and measure and record the slopes of DE and BC.
Answer:
This is the answer for both Edmentum and Plato!
Step-by-step explanation:
Hope it helped
Managers of a movie theater company want to learn more about what types of premium services their customers who participate in the theater's loyalty program most desire and would be willing to pay a premium price for. The managers use a computer program that selects customers in a lottery style from the company's database to receive an online survey and loyalty points for completing the survey about premium services. What kind of sampling technique do the movie theater managers use
Answer: Simple random sampling
Step-by-step explanation:
Simple random sampling is a sampling method where every member of the population of interest has an equal chance of being picked. It is the simplest sampling method as there are no parameters for picking members.
In using the entire company database and simply selecting members using a lottery style, - which is a random style - the managers of this movie theatre were using a simple random sampling method.
pls help i need this answer
Find each measure
Please help me
Answer:
see explanation
Step-by-step explanation:
∠ YXW = ∠ ZXV ( vertically opposite angles ) , so
4a + 15 = 2a + 65 ( subtract 2a from both sides )
2a + 15 = 65 ( subtract 15 from both sides )
2a = 50 ( divide both sides by 2 )
a = 25
Then
(7)
∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°
(8)
∠ YXW = ∠ ZXV = 115°
∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is
(9)
∠ ZXY = 180° - 115° = 65°
(10)
∠ VXW = ∠ ZXY = 65° ( vertically opposite angles
please help me on this asap
Maths assignment
y^2-36
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a ^2 − b ^2 = ( a + b ) ( a − b )
where
a = y
and
b = 6
( y + 6 ) ( y − 6 )
6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)
7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.
Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌
Correct answer + with explanation will be chosen as the Brainliest Answer ✅
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
[tex]\displaystyle \text{SA}=2\pi r^2+ 2\pi rh[/tex]
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
[tex]\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2[/tex]
Then the total surface area for 200 cylinders will be:
[tex]\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2[/tex]
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
[tex]\displaystyle V=\pi r^2h[/tex]
Since r = 1.2 and h = 6.4:
[tex]\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3[/tex]
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
[tex]\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3[/tex]
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
[tex]\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895[/tex]
Thus, approximately 4895 containers can be filled.
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
Then the total surface area for 200 cylinders will be:
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
Since r = 1.2 and h = 6.4:
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
Solving Linear Systems by Elimination Solve each of the following linear systems by elimination, and check the solution a) 0.1a -0.4b = 1.9
0.4a +0.5b = -0.8
Answer:
a = 3 b = -4
Step-by-step explanation:
4 (0.1a -0.4b) = (1.9) 0.4a - 1.6b = 7.6
0.4a - 1.6b = 7.6
- 0.4a +0.5b = -0.8
-2.1b = 8.4
b = -4
0.4a + 0.5(-4) = -0.8
0.4a - 2 = -0.8
0.4a = 1.2
a = 3
need help please! asap
don't cheat its bad that u are asking answers for your test
Can someone help me with this math homework please!
Therefore, f(c) = 3c+5
OPTION B is the correct answer
Answer:
(B) f(c) = 3c + 5
Step-by-step explanation:
Since variable "c" is the independent variable, that means in terms of y = mx + b, c would be the variable "x".
So that means to rewrite 6c = 2p - 10, you would solve for p, because p would equal y in the formula.
Use basic algebra to solve for p:
6c = 2p - 10
6c + 10 = 2p
3c + 5 = p
p = 3c + 5 or f(c) = 3c + 5
Hope it helps (●'◡'●)
exterior angle equation is 3p-15 interior angles are p and p+15
9514 1404 393
Answer:
p = 30
angles 30°, 45°; exterior: 75°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angle:
3p -15 = p + (p +15)
p = 30 . . . . . . . . . . . . . add 15-2p
The interior angles are 30°, 45°; the exterior angle is 75°.
The Rivera family bought a new tent for camping. The front of the old tent is a triangle with equal sides of 3.2 m and a floor width of 4.8 m. If the new tent is similar in shape to the old tent and has equal sides of 4 m, how wide is the floor of the new tent?
Step-by-step explanation:
i need help because summer school is bad
Answer:
B or the second one
Step-by-step explanation:
There are the same numbers just positive and negative.
Hope it helps c:
(Answer with steps please)
Skateboarders use half pipes for doing tricks A half-pipe is similar to a half cylinder which is not enclosed on the ends.
a. Explain how you could manipulate the surface area formula for a cylinder to calculate the curved surface area of the half pipe.
b. To the nearest square metre, calculate the curved surface area of the half pipe if it is 9 m long?
Answer:
Step-by-step explanation:
a). Total surface area of cylinder is defined by sum of curved surface area and surface area of the top and bottom.
Total surface area = 2πrh + 2πr²
Skateboarders use a half pipe structure which are not closed at the ends.
Therefore, curved surface of the half pipe = [tex]\frac{2\pi rh}{2}[/tex]
= πrh
b). If r = 2.5 m and h = 9 m,
Curved surface area of the half pipe = π(2.5)(9)
= 70.69 m²
≈ 71 m²
Someone help me please if you don’t mind
Answer:
x(3x^ x - 2 x - 1)
Step-by-step explanation:
the answer is
x(3x^2 - 2x - 1)
You are a salaried employee paid semi-monthly. If you make 548,750 annually, what is
your estimated take home per pay?
If semi-monthly means every half a month, then my take home pay is 22864.58333
Answer:
548750/12
approximately 45729