Answer:
8.7 * 10^7
Step-by-step explanation:
Scientific notation is a representation of huge but countable numbers at it's unit place with an expansion of the powers of 10.
Hence,
87,000,000
=87*10^6
=8.7*10^7
What do you call the pairs of roots of quadratic
equation with complex solutions?
Math
The Idol's Eye diamond weighs 79.2 carats.The Blue Hope diamond weighs 33.68 carats less than the Idol's Eye.What is the weight of the Blue Hope diamond?
Answer:
45.52
Step-by-step explanation:
• You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle (see drawing).
9514 1404 393
Answer:
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
Step-by-step explanation:
If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...
y = √3(1 -x)
and the terminal side of the angle α can be described by ...
y = tan(α)·x
We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.
y = √3(1 -y/tan(α)) . . . . substituting for x
y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y
Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...
A(α) = (√3/2)tan(α)/(√3 +tan(α))
Further manipulation can put this in the form ...
A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2
__
For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...
A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2
__
The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
_____
The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°
300% of 82 is what number?
Answer:246
Step-by-step explanation:
Order these numbers from least to greatest.
NEEDS HELP NOW! BRAINLIEST!
Answer:
4.47, 121/25, 4 17/20, 4.859
More details: U could just change them into decimals bc it’s easier that way but people have different ways so it’s ok that’s just my opinion.
there are about 100 times more gold atoms in the average human body then uranium atoms about how many uranium atoms are there in the average human body and theres 2 x 10^19 gold atoms in the human body
Answer:
I'm confused
Step-by-step explanation:
what is the question???
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
Step-by-step explanation:
Take the two equations and equal them together (2.35 + 0.25x = 1.75 + 0.40x) 2. isolate x onto one side by canceling out (2.35 (- 1.75) + 0.25x (.25x) = 1.75 (-1.75) + 0.40x (.25x) ) 3. get what X equal (x=4) 4. plug the new value of x (4) into ONE of the equations (2.35 + 0.25(4) ) 5. get your answer (3.35)
A garden bed has 4 sections of vegetables. The garden 8 1/2 yards long.
If each section is equal in the length, what is the length of each section?
Answer: 12 1/2
Step-by-step explanation: It is 12 1/2 because you have to multiply 4 times 8 1/2 and you'll get 12 1/2
Thats how you do It and make sure to subscirbe to GamerPlayzSupreme2 BYE!!
PLEASE HELP !! 10 POINTS AND BRAINLIEST !! <3
Answer:
Your answer would be (7, -9)
Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
HELPP
Given:
Speed of Timmy = 5 miles per hour
Speed of sam = 4 miles per hour and head start of 2 miles
To find:
Where Timmy and Sam will meet.
Solution:
Let x be the number hours they ran in marathon and y be the total distance covered.
Speed of Timmy is 5 miles per hour. So, total distance covered by Timmy in x hours is
[tex]y=5x[/tex] ...(i)
Speed of sam is 4 miles per hour and head start of 2 miles. So, total distance covered by sam in x hours is
[tex]y=4x+2[/tex] ...(ii)
Now, equate (i) and (ii).
[tex]5x=4x+2[/tex]
[tex]5x-4x=2[/tex]
[tex]x=2[/tex]
The value of x is 2. It means they will meet after 2 hours.
Put x=2 in (i).
[tex]y=5(2)[/tex]
[tex]y=10[/tex]
It means, they will meet at 10 miles.
Ronald measured a house and its lot and made a scale drawing. The front patio, which is 14 meters wide in real life, is 7 millimeters wide in the drawing. What scale did Ronald use?
Answer:
2 metre= 1millimetre
Step-by-step explanation:
From the measurement of the house The front patio, is 14 meters wide in real life, is 7 millimeters wide in the drawing
Real life= 14 meters
Drawing= 7 millimeters,
The scale he used is 2 metre= 1millimetre
Which means he magnify the drawing by scale of 2 metre to get the real life structure.
✓Let us clarify it
14 meters = 7 millimeters
2 metre= x millimeter
If we cross multiply
7 millimeters× 2 metre= 14 metre × X millimeters
Make X subject of the formula we have
X= 1millimetres
x/6+12=(-12). solve for x
Answer:
x=-144
Step-by-step explanation:
[tex]\frac{x}{6} +12=-12[/tex] subtract 12 on both sides
[tex]\frac{x}{6}=-24[/tex] multiply by six
x=-144
help please thank you sm
what is the answer so i can pass
Answer:
8/100 is equivalent to 0.08
Step-by-step explanation:
The second digit place to the right of the decimal point is the hundredths place, so that is where the 8 belongs because it is 8/100 in fraction form.
Hope this helped :)
3(x + y) + 2x2 + (1 + y)?
Answer:
7x+4y+1
Don’t low if you wanted it simplified
Answer:
3x + 4y + 5
Step-by-step explanation:
3(x + y) + 2 • 2 + (1 + y)
3x + 3y + 2 • 2 + (1 + y)
3x + 4y + 4 + 1
3x + 4y + 5
Does anyone know this?
Answer:
B
Step-by-step explanation:
Given
g(x) = 2x² - 6x - 56 ← factor out 2 from each term
= 2(x² - 3x - 28) ← factor the quadratic
Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)
The factors are + 4 and - 7, since
4 × - 7 = - 28 and 4 - 7 = - 3 , thus
x² - 3x - 28 = (x + 4)(x - 7) , then
g(x) = 2x² - 6x - 56 = 2(x + 4)(x - 7) → B
Click the picture link below for the problem!
THANKS
Answer:
2
Step-by-step explanation:
The slope of the line is equal to 2. The slope of a line is rise over run, or change in y over change in x. From one point to another on this line y increases by 2 and x increases by 1, which would be 2/1 or just 2. This slope or any other slope greater than 1 or less than -1 makes the line steeper. Another way to find slope is through the slope formula which is [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex], to use this plug in any two points and solve.
Answer:
The slope is a 2/1 slope.
Step-by-step explanation:
If you look at the slope and pick 2 points, let's say (1,1) and (2,3)
find the difference between the two points by y2-y1/x2-x1
The equation would be 3-1/2-1
The answer to the slope would be 2/1.
i need help with this asap please
Answer:
The perimeter is 100 feet. This means that all the sides of the shape must add up to equal 100.
x + x + 5 + x - 3 + x + 4 = 100
4x + 5 - 3 + 4 = 100
4x + 6 = 100
4x = 94
x = 94/4
x = 23.5 feet
This is the last question on my DBA! Please help!!
What are the key features of the graph's exponential functions? Explain how you find each key
feature and what happens to the graphs if you were to add or subtract a constant term.
What is the value of the expression 5ab-2c, where a =2, b=3 and c=0?
Answer:
30
Step-by-step explanation:
5*2*3 - 2*0 = 30 - 0 = 30
how do i do this ? what does the y = 1 have to do with the reflection
because you have to flip the thing
Un hacendado a comprado doble numero de vacas que de bueyes, por cada vaca pago 70 dólares y por cada buey 85 dólares, si el importe de la compra fueron 2,700 dólares cuantas vacas y bueyes compro
Responder:
Número de bueyes = 12
Número de vacas = 24
Explicación paso a paso:
Dado que :
Número de vacas compradas = 2 veces el número de bueyes;
Sea número de bueyes = y
Número de vacas = 2 años
Costo de la vaca = 70
Costo de bueyes = 85
Costo total = 2700
Por lo tanto;
(2 años * 70) + (y * 85) = 2700
140 años + 85 años = 2700
225 años = 2700
225 años / 225 = 2700/225
y = 12
Número de bueyes = y = 12
Número de vacas = 2y = 2 * 12 = 24
que es un experimento determinista
Answer:
Un experimento determinista es aquel cuyo resultado se puede predecir con certeza de antemano, como combinar hidrógeno y oxígeno o sumar dos números como 2 3. Un experimento aleatorio es aquel cuyo resultado se determina por azar.
Step-by-step explanation:
what is a deterministic experiment
A deterministic experiment is one whose outcome may be predicted with certainty beforehand, such as combining Hydrogen and Oxygen, or adding two numbers such as 2 3. A random experiment is one whose outcome is determined by chance.
find the quotient 10^12/10^3
plz answer asap
Answer:
B
10^9
Step-by-step explanation:
Sa se determine termenii de rang 10,15,20 ai progresiei aritmetice :a)-4,-1,2,5,...;b)10,6,2,-2...;c)1/2,1,3/2,2,...;d)-2/3,-2(6),-4 intregi pe langa 2/3
Answer:
Step-by-step explanation:
DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of t representing the charge remaining in series battery as percentage t hours after Sara left her house
Answer:
b=80-8t
Step-by-step explanation:
"b" represents the charge remaining
"t" represents the number of hrs that have passed.
"80" is the reference we will be subtracting the hours from.
"8" is the percentage per hour we will be subtracting
therefore, the equation b=80-8t would solve for the remaining battery after "t" number of hours.
An item is regularly priced at $60. It is on sale for 40% off the regular price. What is the sale price?
Answer: The sale price is $36.
Step-by-step explanation:
40% ÷ 100 = 0.4
0.4 × $60 = $24
$60 - $24 = $36
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
If there is an off of 40% on an item that cost $60.
The regular price of the item is $48.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
105 = 10/100 = 1/10
Example:
50% of 40 is 20.
50/100 x 40 = 20
25% of 100 is 25.
25/100 x 100 = 25.
We have,
Regular price = $60
Off = 40%
Sale price:
= 60 - (40% of 60)
= 60 - (40/100 x 60)
= 60 - (2/5 x 60)
= 60 - (2 x 12)
= 60 - 24
= $48
Thus.
If there is an off of 40% on an item that cost $60.
The regular price of the item is $48.
Learn more about percentages here:
https://brainly.com/question/11403063
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What is the percent of change from 75 to 12
Answer:
-84%
Step-by-step explanation:
How can you tell a triangle is similar with having only one side number?
Answer:
If the pictures are relevant:
Step-by-step explanation:
Measure the sides, or look for the best fit image
Marco needs to buy some cat food. At the nearest store, 5 bags of cat food cost $18.75. How much would Marco spend on 3 bags of cat food?
Answer:
$11.25
Step-by-step explanation:
5 bags = $18.75
To find the amount for three bags, we need to find the price for each bag.
Divide 18.75 by 5.
18.75/5 = 3.75
So each bag is 3.75, and since we need to know the price for 3 bags, we need to multiply 3.75 by 3, which is 11.25.