Their are two triangle possible.
1 ) With hypotenuse of length x.
2) With hypotenuse of length 12.
Solution :
Case : 1 )
Using Pythagoras theorem :
x² = 7² + 12²
x = √( 7² + 12²)
x = √( 49 + 144 )
x = √(193)
x = 13.89
Case : 2 )
Using Pythagoras theorem :
x² + 7² = 12²
x² = 144 - 49
x = √95
x = 9.75
Hence, this is the required solution.
4n + 2 = 6 (1/3n-2/3)
N=???
l give brainiest
Answer:
N= -3
Step-by-step explanation:
4n+2 = 6(1/3n - 2/3)
4n+2 = 2n - 4
2n +2 = -4
2n = -6
n = -3
Answer:
- 3
Step-by-step explanation:
4n + 2 = 6 ( 1 / 3 n - 2 / 3 )
Divide 2 on both sides,
2n + 1 = 3 ( 1 / 3 n - 2 / 3 )
2n + 1 = 3n / 3 - 6 /3
2n + 1 = n - 2
2n - n = - 2 - 1
n = - 3
the interest for 3 years on Rs2400is Rs576 find the interest on Rs 4200 for 2 yrs at the same rate of interest
Answer:
Solution given:
time [t]=3years
principal [p]=Rs2400
rate[r]=?
simple interest [S.I]=Rs 576
we have
S.I=ptr/100
576=2400*3*r/100
576=72r
r=576/72
r=8%
now
principal [p]=Rs 4200
time[t]=2years
rate[r]=8%
simple interest [S.I]=?
we have
S.I= ptr/100=4200*2*8/100=Rs 672
The required interest is Rs 672.
please help!! i have no clue what to do and this packet is due tonight.
Answer:
[D] ∞
General Formulas and Concepts:
Calculus
Limits
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]
[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]
Step 2: Evaluate
Substitute in function [Limit]: [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?
find the ratio of the perimeter of two similar trapezoids with area 49cm^2 and 9cm^2
Answer:
3260 is the ratio of two similar trapizoids
Answer:
7:3
Step-by-step explanation:
(Ratio of perimeter)^2 = ratio of area.
Therefore
ratio of perimeter = sqrt(ratio of area) = sqrt(49/9) = 7/3
Estimate 16.26+4.169 by first rounding each number to the nearest tenth.
Answer:
16.3 + 4.2 = 20.5 (20.5 has not been rounded)
Step-by-step explanation:
I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)
What is the sum of the pink and green area?
Answer:
I think the answer is 11x
Answer:
11x
Step-by-step explanation:
Pink area = 6x
Green area = 5x
Total (sum) = 6x+5x =11x
2 birds are building a nest. Bird A is flying toward the nest at the same time bird B is flying away from it
Answer:
Step-by-step explanation:
is it that 1 bird is at the nest and the other is flying away ?
Heres another simple question!
The ordered pairs (t,36),(5,45) represent a proportional relationship. Find the value of t.
possibilities : 4,5,9,40
Answer:
4? ..... t = 4
5 × 9 = 45
4 × 9 = 36
Identify the range of the function shown in the graph.
A.y>=0
B.y<0
C.Y is all numbers
D.0
Which one is it?
Answer:
B
Step-by-step explanation:
The profit from a business is described by the function P(x) = -x^2 + 10x - 4, where x is the number of items made, in thousands, and P(x) is the
profit in dollars. How many items will maximize the profit?
A 5,000
B. 10,000
C. 20,000
D. 50,000
Therefore, 5000 items can maximize the profit
The correct answer is an option (a)
What is Profit ?The money that you make when you sell something for more than it cost you.
For given example,
profit is described by the equation :
[tex]P (x) = -x^2 + 10x -4[/tex]
We need to maximize the profit P(x)
[tex]\Rightarrow \frac{d}{dx}P(x)=0\\\\\Rightarrow \frac{d}{dx}( -x^2 + 10x -4 ) =0\\\\\Rightarrow -2x+10=0\\\\\Rightarrow -2x=-10\\\\\Rightarrow x=5[/tex]
since , x is the number of items made in thousand
Therefore, 5000 items can maximize the profit
The correct answer is an option (a)
Learn more about profit :
https://brainly.com/question/11470255
#SPJ2
Solve the trigonometric equation for all values 0 ≤ x < 2π.
2sin^2 x-1 = 0
IF YOU ANSWER CORRECTLY ILL GIVE BRAINLIEST
The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
ys-2x + 10
1x-2
2
y>
1
OK
6 7 8 9 10
What is 3,700,000 in scientific notation??
=========================================================
Explanation:
Place a decimal point between the first two digits 3 and 7.
Now ask yourself how you can go from 3.7 back to the original value. Notice we can move the decimal point 6 spots to the right to go from 3.7 back to 3,700,000
Therefore, the exponent over the 10 is 6. The exponent is positive to mean we move the decimal point to the right. If we had a negative exponent, then we'd move left.
You can use a calculator to confirm that 3.7 * 10^6 = 3,700,000
--------------
Side notes:
3,700,000 = 3 million, 7 hundred thousand
3,700,000 = 3.7 million
answer?? please help
Answer
where is the ?
Step-by-step explanation:
..help pls (if ur a hacker or scammer im gonna report you :))
Answer:
9,
Step-by-step explanation:
if you look at the pattern its just adding up all the numbers above so its nine
The first three members of a sequence are shown.
How many dots are in the full fourth member of the
sequence?
Please help! solve using picture. will mark as brainliest !
Answer:
As a result, seen in the picture the answer will be 14 which is letter b.
Step-by-step explanation:
1 + 5 + 9 =14.
Hopes this help.
Good luck.
Select the graph of the solution. Click until the correct graph appears. pls help
x < 4
Answer:
The correct one is the one on the left.
(the arrow pointing to the left)
What percent of the families did not have a computer? Round your answer to
the nearest hundredth
Answer: Its 5.71%
Step-by-step explanation:
2/35*100=5.71
Kesha borrowed $1,800 at 5% SIMPLE INTEREST. How much did Kesha owe after 6 months?
Interest: $
Total she owed: $
Answer:
Use Simple Interest Formula=PrT/100
SI=$1800×5×6/12÷100
=4500/100
=$45
Step-by-step explanation:
$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.
Solve kx + 12 = 3 kx for x
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x = \frac{6}{k}}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}}\\\\kx+12=3kx\\------------\\\rightarrow kx+12 - 12 = 3kx-12\\\\\rightarrow kx = 3kx - 12\\\\\rightarrow kx - 3kx = 3kx - 3kx - 12\\\\\rightarrow -2kx = -12\\\\\rightarrow \frac{-2kx = -12}{-2k}\\\\\rightarrow \boxed{x=\frac{6}{k}; k\neq 0}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x = 6/k
Step-by-step explanation:
kx + 12 = 3*kx
to make like terms on same side shift kx to right hand side . when u shift positive kx to other side it becomes negative
12 = 3kx - kx
12 = 2kx
shift 2 to left hand side when u shift multilication changes to division.
12/2 = kx
6 = kx
to find x u must shift k to other side . here also same since k and x are multilied when k shifts to others side it becomes divisor.
6/k = x
PLEASE HELP ME ASAP! THANK YOU
EXPLANATION = BRAINLIEST
The radius of a circle is 4 meters. What is the area of a sector bounded by a 135° arc?
Give the exact answer in simplest form.
Answer:
The area of the sector of the circle is approximately
Step-by-step explanation:
The given parameters of the circle having a shaded sector are;
The radius of the circle, r = 4 meters
The measure of the arc bounding the sector = 135°
The area of a sector of a circle, 'A', is given as follows;
[tex]A = \dfrac{\theta}{360 ^{\circ}} \times \pi \times r^2[/tex]
Therefore, the area, 'A' of the given sector of the circle, is given as follows;
[tex]A = \dfrac{135 ^{\circ}}{360 ^{\circ}} \times \pi \times (4\ cm)^2 \approx 18.85 \ cm^2[/tex]
The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².
A hot metal plate at 150°C has been placed in air at room temperature. Which event would most likely take place over the next few minutes?
- Molecules in both the metal and the surrounding air will start moving at lower speeds.
- Molecules in both the metal and the surrounding air will start moving at higher speeds.
- The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up.
- The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.
Answer:
the last option, effectively cooling the hot plate down and heating the surrounding up
The inverse of the function f(x) = one-half x plus 10 is shown. h(x) = 2x- What is the missing value? 1 5 10 20
Answer:
20
h(x) = 2x - 20
Step-by-step explanation:
f(x) = ¹/₂ x + 10
First, isolate x, like so:
f(x) - 10 = ¹/₂ x
x = 2(f(x) - 10)
x = 2f(x) - 20
Now, simply switch f(x) with x and x with h(x), like so:
h(x) = 2x - 20
Answer:
the answer is 20
Step-by-step explanation:
took the test on edge
A huge bag of garlic bulbs weighs 294 lbs divided by 1/6th of its weight. How much does the bag of garlic weigh?
Answer:
42 lbs
Step-by-step explanation:
1/6th of 42 is 7
now since the bulb weighs 294, we didvide by 7
so 294/ 7 is 42
What is the answer choice for this question?
Answer:
x^2 -2
Step-by-step explanation:
f(x) = x^2 -3
g(x) = x+1
Put f(x) in for x in the function g(x)
g(f(x)) = f(x) +1 = x^2 -3+1 = x^2 -2
Which is calculated by using an exponential function?
simple interest on a $2,000 investment given the number of years
area of a square given the side length in centimeters
volume of a cube given the side length in inches
compound interest on a $2,000 investment given the number of compoundings
Answer:
I am very confused on this question
Ina two digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number
9514 1404 393
Answer:
36
Step-by-step explanation:
Let the digits of the number be represented by t for the tens digit and u for the units digit.
u = 2t . . . . . . . . the units digit is twice the tens digit
2(10t +u) = (10u +t) +9 . . . . . double the number is 9 more than its reverse
Substituting for u, we have ...
2(10t +2t) = 10(2t) +t +9
24t = 21t +9 . . . . . . . . . . . collect terms
3t = 9 . . . . . . . . . . . . . subtract 21t
t = 3 . . . . . . . . . . . divide by 3
u = 2t = 6 . . . . find u
The number is 36.
can somebody help me with explaining??
Answer:
the first one is 1.667
Step-by-step explanation:
5/3=1.667
10/6=1.667
and so on
Sorry i dont know the second one
The wheely fast co. Makes custom skateboards for professional riders. They model their profit with the relation P=-2b^2 + 14b - 20, where b is the number of skateboards they produce(in thousands) and P is the company's profit in hundred thousands of dollars. When does wheely fast break even?
Answer:
The answer is below
Step-by-step explanation:
Breakeven point is the point of balance where their is neither a loss or a profit. At the breakeven point, the revenue gotten from the sell of goods is equal to the cost of production of the goods, hence the profit is zero.
Given the profit function:
P=-2b² + 14b - 20
At breakeven P = 0, hence:
0 = -2b² + 14b - 20
-2b² + 14b - 20 = 0
-2b² + 10b + 4b - 20 = 0
-2b (b - 5) + 4(b - 5) = 0
(b - 5)(-2b + 4) = 0
b - 5 = 0; or -2b + 4 = 0
b = 5; or b = 2
Since b is in thousands, hence the company breaks even when the number of skateboards produced is either 2000 or 5000
