A triangle has side lengths of (7n-2p)(7n−2p) centimeters, (2n+4q)(2n+4q) centimeters, and (q-5p)(q−5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
(7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p) OR
53n² +29p² +17q² -14np +8nq -10pq
Step-by-step explanation:
The perimeter is found by adding all the side lengths.
P = (7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p)
We know that (a+b)(a+b) = (a+b)², and (a-b)(a-b) = (a-b)²
P = (7n-2p)² + (2n+4q)² + (q-5p)²
We know that (a+b)² = a²+b²+2ab, and (a-b)² = a²+b²-2ab
P = 49n² + 4p² - 14np +4n² +16q² + 8nq +q²+25p² -10pq
Combine like terms
P = 53n² +29p² +17q² -14np +8nq -10pqAnswer and explanation please?
Answer:
c= 13
Step-by-step explanation:
The complementary angles add up to 90° so we use some basic algebra to solve this question. like in the step by step explaination I have provided on paper
g(x)=
Write a relationship for a function whose g(x) values are 2 more than five times the principal square root of x.
Lets do
2 more than five times the square root of x[tex]\\ \sf\longmapsto g(x)=5\sqrt{x}+2[/tex]
Lets take an example
[tex]\\ \sf\longmapsto g(4)=5\sqrt{4}+2[/tex]
[tex]\\ \sf\longmapsto 5(2)+2[/tex]
[tex]\\ \sf\longmapsto 10+2[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
Answer the following.
7−5+2=−2−2(1−3)
Answer:
4=2
Step-by-step explanation:
Answer: 4≠2
Step-by-step explanation:
7-5+2=-2-2(1-3)
7-5+2=-2-2(-2)
7-5+2=-2+4
4≠2
Can someone provide the steps on solving this?
9514 1404 393
Answer:
857.4 ohms
Step-by-step explanation:
The new frequency is 50.2/61.4 times the old frequency. Since the reactance varies inversely with frequency, the new reactance will be 61.4/50.2 times the old reactance:
reactance at lower frequency = (701 ohms)×61.4/50.2 ≈ 857.4 ohms
If I have 500 and have a 6% annual interest how long will it take to get 2000
Answer:
23.8 years
Step-by-step explanation:
Assuming this is compound interest, we'll use the compound interest formula
A = P(1 + r)ⁿ
A = Final amount (2000)
P = Initial amount (500)
r = Annual interest rate (.06)
n = ?
Our equation will look like this
2000 = 500(1.06)ⁿ
First, divide both sides by 500
2000/500 = (500(1.06)ⁿ)/500
(1.06)ⁿ = 4
Then we have to take the log₁.₀₆ out of both sides
n = log₁.₀₆(4)
n = 23.79132
Simplify 3(8x+2y)
A. 30x+y
B. 24x+2y
C. 24x+6y
D. 30xy
Answer:
The choose C. 24x+6y
Step-by-step explanation:
[tex]3(8x + 2y) = 24x + 6y[/tex]
I hope I helped you^_^
You have a lead ball with a mass of 360 g. The density of lead is 15 g/cm3. What is the volume of the ball?
Recall that density = mass / volume.
Let's plug our known values into the equation.
15 g/cm^3 = 360g / volume
First, let's multiply both sides by volume
Volume * 15 g/cm^3 = 360g
Divide both sides by 15 g/cm^3
Volume = 24 cm^3
Density is defined as the mass per unit of volume. The volume of the ball is 24 cm³.
What is density?Density is defined as the mass per unit of volume. It is given by the formula,
Density = Mass / Volume
Given that You have a lead ball with a mass of 360 g. The density of lead is 15 g/cm³.
Now, since density is the ratio of mass and volume. Therefore, we can write the volume of the ball as,
Density = Mass / Volume
Volume = Mass / Density
Volume of the ball = 360g / 15g/cm³
= 24 cm³
Hence, the volume of the ball is 24 cm³.
Learn more about Density here:
https://brainly.com/question/952755
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After a 90% reduction, you purchase a new clothes dryer on sale for $62. What was the original price of the clothes dryer?
Answer:
$7.20
Step-by-step explanation:
First, we would have to find out how much to subtract from $62.
We need to multiply 90% and 62 or 0.9 x 62
When we finish this equation we get 54.8, which is what we need to subtract from 62 to see what 90% off is.
62 - 54.8 = 7.2, so therefore our answer is $7.20
A and B are complementary and B and C are supplementary.
9. If mA 48", then mB= ? and mC = ?.
10. If mB 83, then mA = ? and mC = 2.
11. If mC 127, then m28= ? and mA = ?.
12. If mA = 25. than mB= ? and mC = ?.
9. if mA = 48° , then
mB = 90° - 48° = 42°mC = 180° - 42° = 138°10. if mB = 83°, then
mA = 90° - 83° = 7°mC = 180° - 83° = 97°11. if mC = 127°, then
mB = 180° - 127° = 53°mA = 90° - 53° = 37°12. if mA = 25°, then
mB = 90° - 25° = 65°mC = 180° - 65° = 115°(25/13) * (-7) + 14 - 4 please help ASAP
Answer:
-4 is the correct answer to this problem
Answer:
-4
Step-by-step explanation:
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...hope it helped
how to round 11,295 to the nearest ten thousand?
Find the average of the list of numbers.
- 13, – 25, – 24, – 14
Answer:
-19
Step-by-step explanation:
-13-25-24-14
= -76/4
= -19
3=g/-4-5 ((for 25 points))
Answer:
3=g/-4 -5
3+5=g/-4
8= g/-4
8x(-4)=g
g=-32
Step-by-step explanation:
Which of the following equations has exactly one solution?
2x + 3 – 6x=-4x – 3
3x + 12 – 9x = -11x + 12 + 5x
6x +9 - 8x = 2x + 9
7x + 3 – 8= 13x + 5 – 6x
Answer:
I belive I might be c not completely sure but pretty positive
What is the radius of the circle? Example how you know..
Answer:
r=7
Step-by-step explanation:
C is at x=1 at circle side is at 8
8-1= 7
so, r=7
Answer:
The radius of the circle is 7 units.
Step-by-step explanation:
Radius is the measure from the center point of a circle to a point on the outside edge. Since you have coordinates, you can find the radius using distance formula.
You could also just count how many units are between the center and the edge to get 7 units because 8 - 1 = 7
Stephanie is painting her room wich is 14' long by 9' wide and each wall is 10' tall. How many square feet of paint will she use? help.
Answer:
460 sq ft
Step-by-step explanation:
Assuming the room is a perfect rectangle and not accounting for doors and windows:
14 ft x 10 ft = 140 sq ft X 2 = 280 sq ft
9 ft x 10 ft = 90 sq ft x 2 = 180 sq ft
280 sq ft + 180 sq ft = 460 sq ft
Multiply.
-0.5•(-0.4)
...
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. -0.5•(-0.4)
B. The expression is undefined
(Someone please answer)
Answer:
-0.2 I think .......................
70 POINTS!!! SOLVE TO EARN!!!
Answer:
37, 60, 30Step-by-step explanation:
Ann - a, Josh - j, Claire - c
a = j + 7j = 2ca + j + c = 157Substitute a and j into last equation and solve for c:
(j + 7) + 2c + c = 1572c + 7 + 3c = 1575c = 150c = 30Find a and j:
a = 30 + 7 = 37j = *30 = 60A number to be a rational number that is not an integer but a while number
Answer:
So coming back to the question; No, there is no rational number that is not an integer but is a whole number. The number is called as a rational number if it can be expressed as p/q where p & q are integers & q is not 0. All negative integers are rational numbers but those are not whole numbers.Jan 1, 2020
Step-by-step explanation:
If $875 is put in the bank and each year the account carns 9% simple interest, then how much interest will be earned in
four years?
Answer:
$315. 9% of 875 is 78.75. 9% x 4 years = 36%. 36% of 875= 315. (bonus: 875 + 315 = 1,190.)
Step-by-step explanation:
hope this helps
plzz someones help me plz I will mark brainlest diameter is 1 3/4
Answer:
The area of the circle is 2.41 in^2
Step-by-step explanation:
You are given the diameter, 1 3/4. This is a mixed fraction, so let's convert that into decimal.
1 3/4 = 7/4
7/4 = 1.74
Now, let's use the area of circle formula.
A = 1/4πd^2
A = 1/4 * π * 1.75^2
A ≈ 2.40528
Let's round the area to the nearest hundredth.
2.40528 = 2.41
If x = 2 , y = 3 and z = 4 , find the value of y2 Z2 -x2
Answer:
y²z²-x²
3*3*4*4-2*2
3*16-4
48-4
44
Step-by-step explanation:
* means multiply
Answer:
[tex]here \: we \: want \: to \: find \: {x}^{2} {y}^{2} {z}^{2} \\ x = 2 \\ y = 3 \\ z = 4 \\ then \: {2}^{2} \times {3}^{2} \times {4}^{2} \\ = 4 \times 9 \times 16 \\ = 36 \times 16 \\ = 576 \\ thank \: you[/tex]
help with this plzzzz
Answer:
point C
Step-by-step explanation:
both planes include point C so that is where they intersect
Answer:
Point C
Step-by-step explanation:
As you can see in the picture below, Point C is where both planes intersect. Point C is what both planes have in common.
Determine the domain of the following function:
Step-by-step explanation:
2x-18 ≥ 0
2x ≥ 18
x ≥ 9
and
3x -27 ≠ 0
3x ≠ 27
x ≠ 9
so, the answer is <9 ; +oo >
235Px=235P(x-1)*(3x)
Answer:
2456
Step-by-step explanation:
the money spent to buy goods is called
Answer:
l think it's consumer spending
the area of a rectangle hall is the same as the area of a square field of side 56 m. if the lenght of hall is 112m. find its breadth
Step-by-step explanation:
please subscribe to my mom channel please
What is -2/3 - (-1/2)
Answer: -1/6
Step-by-step explanation: Start by changing the minus a negative
to plus a positive, so we have -2/3 + 1/2.
Since our denominators of 3 and 2 have no factors in common,
our least common denominator is 3 · 2 or 6.
In order to get a denominator of 6 in each fraction,
we multiply top and bottom of the first fraction by 2
and top and bottom of the second fraction by 3.
That gives us -4/6 + 3/6 which simplifies to -1/6.
AnswerAnswer:
Step-by-step explanation:
-0.16666666666
Add. Simplify the answer
Answer:
[tex]4g^{2}h-12gh^{2}-9gh[/tex]
Copy and paste version:
4g^2h-12gh^2-9gh
Step-by-step explanation:
[tex](4g^{2}h-gh-9gh^{2})+(8gh-3gh^{2})=\\4g^{2}h-gh-9gh^{2}+8gh-3gh^{2}=\\4g^{2}h-9gh-12gh^{2}=\\4g^{2}h-12gh^{2}-9gh[/tex]
Answer:
4g^2h-12gh^2-9gh
Step-by-step explanation:
