Answer:
58
Step-by-step explanation:
How many arrangements can be made for the letters in the word TROTTING? In how many of these are N and G next to each other.
Answer:
6720.
1680.
Step-by-step explanation:
There are 3 T's and 5 other distinct letters in this word s
The number of arrangements
= 8! / 3!
= 8*7*6*5*4
= 6720 ways.
If N and G are next to each other we consider it to be 1 letter. Now we can have GN or NG so the answer is
(7!/3!) * 2
= 1680 ways.
URGENT PLEASE
Heron's Formula:
In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulas for the area of a triangle, such as half the base times the height. Use Heron's formula to find the area, in square centimeters, of ΔABC.
Question 6 options:
A)
16.541
B)
15.612
C)
14.704
D)
24.708
[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=7.2\\ b=6.7\\ c=4.5\\ s=\frac{7.2+6.7+4.5}{2}\\[0.5em] \qquad 9.2 \end{cases} \\\\\\ A\sqrt{9.2(9.2-7.2)(9.2-6.7)(9.2-4.5)}\implies A=\sqrt{9.2(2)(2.5)(4.7)} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 14.704~\hfill[/tex]
Answer:
The answer is C. 14.704
Step-by-step explanation: I just took the test
a cyclic quadrilateral is shown x : y = 3 : 7
work out the size of angle z
Answer:
116
Step-by-step explanation:
this is the correct answer
What is the temperature change between the greatest value and the least value?
-25°F, 5°F, 60°F, -45°F, -10°F, 90°F
WILL BR MARKED BEST
Solve the system of linear equations using any method you choose:
-6x + 3y = 18
10x - y = 4
9514 1404 393
Answer:
(x, y) = (1.25, 8.5)
Step-by-step explanation:
I choose to put these equations into reduced general form, then use the "cross multiplication method" to solve.
2x -y +6 = 0
10x -y -4 = 0
d1 = 2(-1) -10(-1) = 8
d2 = -1(-4) -(-1)(6) = 10
d3 = 6(10) -(-4)(2) = 68
Solutions are ...
x = d2/d1 = 10/8 = 1.25
y = d3/d1 = 68/8 = 8.5
The solution is (x, y) = (1.25, 8.5).
_____
Additional comment
I like a graphing calculator for a quick and easy solution. When the values are not integers, I like an algebraic solution to see what the exact values are.
__
The "cross multiplication method" is similar to Cramer's rule in that determinants of pairs of coefficients are computed. If you look up this method, videos will show you a variation that is slightly different. Here, we determined d1, d2, and d3 as the 2×2 determinant of the coefficients in adjacent columns of the array you get from the general form equations with the first column repeated:
[tex]\begin{array}{cccc}2&-1&6&2\\10&-1&-4&10\end{array}[/tex]
In each pair, the determinant is the difference between the product of numbers on the down-diagonal and the product of numbers on the up-diagonal.
The determinants relate to the x- and y-values by ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
There is a Vedic solution method for linear equations that is similar to this, but starts from equations in standard form. As a consequence, the cross-differences are done in a different order.
__
Standard form: ax +by = c
General form: ax +by +c = 0
What is the slope of the line shown below?
A. 3/2
B. 2/3
C. -3/2
D. -2/3
9514 1404 393
Answer:
B. 2/3
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For points (x1, y1) = (-3, -7) and (x2, y2) = (9, 1), the slope is ...
m = (1 -(-7))/(9 -(-3)) = 8/12 = 2/3
The slope of the line is 2/3.
Does anyone know these answers?
Answer:
1. M
2. H
3. A
4. K
5. B
6. C
7. G
8. E
and so on
Step-by-step explanation:
definitions to know:
same side interior/exterior angles
vertical angles
alternate interior/exterior angles
corresponding angles
hooke’s law states that the extension or elastic string beyond its natural length as the force applied. if a weight of 9 9 pounds attached to s spring causes it to a length of 20 inches?
Answer:
https://brainly.com/question/25709302
Solve
-16 - 8
A. 24
B. 8
C. -8
D. -24
Answer:
D. 24
Step-by-step explanation:
This can be rewritten as
-16 + -8
This is equal to -24
Answer:
D= -24
Step-by-step explanation:
coz I used the table method so I also found it's correct
12/23+(9 6/8−3 1/4) sorry for asking the same question but I NEED HELP
Answer:
[tex]\frac{12}{23} + (9 \frac{6}{8} - 3 \frac{1}{4})[/tex]
Exact Form:
[tex]\frac{323}{46}[/tex]
Decimal Form:
7.02173913
Mixed Number Form:
7 [tex]\frac{1}{46}[/tex]
Step-by-step explanation:
What is the expanded form of 14.702
Answer:
The expanded form for 14.702 is
fourteen and seven hundred two thousandths
Marsha Hansen, the manager of the Flint Plant of the Michigan Company is responsible for all of the plant's costs except her own salary. There are two operating departments within the plant, Departments A and B. Each department has its own manager. There is also a maintenance department that provides services equally to the two operating departments. The following information is available. (on the picture) Departments managers are responsible for the wages and supplies in their department. They are not responsible for their own salary. Building rents, utilities, and maintenance are allocated to each department based on square footage. Required: Complete the responsibility accounting performance reports below that list costs controllable by the manager of Department A, the manager of Department B, and the manager of the Flint plant.
I will post the template too
Part 1:
Answer:
Hello
Step-by-step explanation:
HELP ME OUT PLEASE
Use the data to create a scatter plot.
Answer: i dont know if this will be correct but, the 2 goes on the bottom count 5 up so you will get the first one done, bottom 3 and count up 8, bottom 4 and count up to 13, its the same for all of them.
Step-by-step explanation:
If I have a triangle and one angle is 25 degrees and I have to find the exterior angles by doing (2X+3) and (3x-17)
The table above shows the number of each type of plant in Robert's garden. What is the ratio of the total number of plants in Robert's garden to the number of tomato plants?
Answer: C.
Step-by-step explanation:
Total number of plants in Robert's garden = 8 + 4 + 16 + 22
= 50
Number of tomato plants in Robert's garden = 8
Ratio of total number of plants to the number of tomato plants = 50 : 8
Simplify
50 : 8 = 25:4
What is the equation of this line?
Answer:
y = x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-0}{1-0}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then
y = x ← equation of line
Solve 25- (6-) A. -31 B-20 C.20 D. 31
Answer:
The answer is 31
Explanation:
25 - (-6) = 31
we have 25 - (-6) = 25 + 6 = 31
so the answer is D
ok done. thank to me :>
What is 15.56 rounded to the nearest tenth?
Answer: 15.6
Step-by-step explanation:
In 15.56, the digit in the tenths place is the second 5. 15.56. So look at the hundredths place (6). If the digit in the hundredths place is smaller than 5, round down. If it's 5 or more, round up. 6 > 5, so we round the tenths place up by one number to get 15.6.
hsdfhedrjeryeruerueru
what is that? Or I am not understanding
Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round two places past the decimal
Answer:
$199.89
Step-by-step explanation:
The bike costs 266.52
The parents are contributing one fourth of this (1/4)
We need to find 1/4th of 266.52
Divide 266.52 by 4 to find out how much Justin's parents are contributing to the bike
The answer is 66.63
Now subtract 66.63 from 266.52
Justin has to pay a total of 199.89
2x-3y=5.5
What is the solution to the system of equations shown above
Answer:
⸻⸻⸻⸻⸻
Solving
2X + 3Y = 5.5
⸻⸻⸻⸻⸻
Simplifying
2X + 3Y = 5.5
⸻⸻⸻⸻⸻
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
⸻⸻⸻⸻⸻
Add -3y to each side of the equation.
2x + 3y + -3y = 5.5 + -3y
⸻⸻⸻⸻⸻
Combine terms: 3y + -3y = 0.
2x + 0 = 5.5 + -3y
2x = 5.5 + -3y
⸻⸻⸻⸻⸻
Divide each side by 2.
x = 2.75 + -1.5y
⸻⸻⸻⸻⸻
Simplifying.
x = 2.75 + -1.5y
⸻⸻⸻⸻⸻
Tarik filled his tank with 11 gallons of
premium gasoline. He paid $38.76. How
much did Tarik pay per gallon?
How do you find the answer for 30=6x+20
Answer:
5/4Step-by-step explanation:
How do you find the answer for 30=6x+20?
solve for x30 = 6x + 20
10 = 6x
x = 10/6
semplify5/4
------------------ check
30 = 6 * 10/6 + 20
30 = 10 + 20
30 = 30
the answer is good
The hypotenuse of a 30°-60°-90º triangle is 8 units and one leg is 4 units. What is the length of the other leg?
Answer:
The length of the other leg is [tex]4\sqrt{3}[/tex]
Step-by-step explanation:
There are 2 ways to solve this.
1) Pythagorean theorem (the harder way)
A 30-60-90 triangle is a right triangle, and therefore you can use the pythagorean theorem to calculate the measure of 1 side given the 2 others.
[tex]a^2+b^2=c^2\\a^2+4^2=8^2\\a^2+16=64\\a^2=48\\a=\sqrt{48}\\a=6.9282...[/tex]
That's one solution, but its not a very nice number or the exact answer you probably want. Instead, you can simplify the root.
First, you need to factor 48:
[tex]2*24=48\\2*12=24\\2*6=12\\2*3=6[/tex]
The prime factors of 48 are:
[tex]2*2*2*2*3=48[/tex]
Then, you need to find perfect squares:
[tex](2*2)*(2*2)*3=48\\2^2*2^2*3=48[/tex]
And finally, you can remove those like this:
[tex]\sqrt{48} =\sqrt{2^2*2^2*3} \\\sqrt{48} =2\sqrt{2^2*3} \\\sqrt{48} =2*2\sqrt{3} \\\sqrt{48} =4\sqrt{3}[/tex]
The length of the other leg is [tex]4\sqrt{3}[/tex]
2) 30-60-90 triangle relationships (the easier way)
There are 4 simple rules here:
Short leg × 2 = hypotenuseShort leg × √3 = long legLong leg ÷ √3 = short legHypotenuse ÷ 2 = short legThey're actually pretty easy to remember. You can multiply the short leg by 2 or √3, and 2 is greater than √3 (check a calculator). The hypotenuse of course is also longer than the long leg, so you have to multiply by 2 to get it. Then for the long leg, the only option is to multiply by √3. The same works in reverse for both of those.
Here, we have the short leg. You can check that with the pythagorean theorem again to be sure:
[tex]a^2+4^2=8^2\\a^2+16=64[/tex]
Because 16 is less than half of 64, a has to be the longer leg. Using the rules above, multiply the short leg by √3 to get the answer:
[tex]4 * \sqrt{3} \\4\sqrt{3}[/tex]
Same answer as the previous method.
what are the solutions to the equation (x-2)(x-4)=8?
Answer:
=
6
=
0
Step-by-step explanation:
The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation (x - 2)(x - 4) = 8.
∴ x² - 4x - 2x + 8 = 8.
x² - 6x = 0.
x(x - 6) = 0.
So, x = 0 Or x - 6 = 0 ⇒ x = 6.
learn more about quadratic equations here :
https://brainly.com/question/17177510
#SPJ2
2) The school theater has 17 rows of seats. Each row has 53 seats. Which statement explains how to find the closest estimation of the total number of seats in the theater? A) 17 rounds to 10, 53 rounds to 50, and 10 = 50 = 500 seats. B) 17 rounds to 10, 53 rounds to 60, and 10 x 60 = 600 seats. 9. 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats. D) 17 rounds to 20, 53, rounds to 60, and 20 x 60 = 1,200 seats.
Answer: c.) 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats
Step-by-step explanation:
*5 or more, add one more. 4 or less, give it a rest (leave it alone)*
17 rounds to 20
(the 7 is used to boost the 1 to a 2 since its more than 5, making it 20)
53 rounds to 50
(the 3 is less than 4 so we leave the 5 as is, making it 50).
Therefore, 20x50 = 1000 seats or 20:50=1000
An arrow is shot at an angle 32 degree from the horizontal. If it's height is increasing at 200 km/hr, how fast is the arrow itself going?
Check the picture below.
Bearing in mind that the angle is not changing all the wihle, namely is constant
[tex]tan(32^o)=\cfrac{y}{x}\implies x = \cfrac{y}{tan(32^o)}\implies x = \cfrac{1}{tan(32^o)}y \\\\\\ \stackrel{\textit{taking the derivative on bot sides}}{\cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}\cfrac{dy}{dt}}\implies \cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}200\implies \cfrac{dx}{dt}\approx 320.07~\frac{km}{hr}[/tex]
A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $71?
Answer:
40% * 71 = Markup price
40% of 71 is 28.4, so i added the two together and got 99.4
so...
$28.4 + $71 = $99.40
Y=1/2x-5
What is the slope?
Answer: 1/2
Step-by-step explanation:
Slope is the number in front of x
Answer:
The slope of the line or m is represented by 1/2. x and y are coordinates on the line and -5 represents the y-intercept. The used for this equation is y = mx + b. M = slope and b is the y-intercept
Step-by-step explanation:
Hope I made sense to you.
If $20,000 is invested at 7% for 15 years, find the future value if the interest is compounded daily(365 days)