Answer:
1=75 Degrees
2=105 Degrees
Step-by-step explanation:
Simplify (3b^8b^-2)3
HURRY HELP PLS‼️‼️‼️
10. Use the projectile motion formula and solve the quadratic equation.
Melissa drops a tennis ball from the roof of a building that is 256 feet
high. How long does it take the tennis ball to hit the ground?
Original content Copyright by Houghton Mifflin Harcourt. Additions and changes to the original content are the resp
Answer:
Step-by-step explanation:
To solve this problem you need the function
h(t) = -16t2 + v0t + h0
where t = time
v0 is the initial velocity, which in our case is 0
h0 = initial height, which in our case is 256
h(t) = 0 since we want to know when the ball will hit the ground.
0 = -16 t2 + 256
And we can solve for t
If we rearrange the terms we see that this is a difference of 2 squares
0 = 256 - 16t2
0 = (16-4t)(16+4t)
Setting each factor = 0
16-4t=0 16+4t=4
t = 4 t = -4
The second solution is discarded as time cannot be negative.
So the ball will hit the ground in 4 seconds.
There exist two complex numbers $c$, say $c_1$ and $c_2$, so that $3 + 2i$, $6 + i$, and $c$ form the vertices of an equilateral triangle. Find the product $c_1 c_2$ in rectangular form.
The product $c_1 c_2$ in rectangular frame is [tex]\$10 e^{i(2\theta \pm \frac{pi}{3})}\$.[/tex]
How to find the product $c_1 c_2$ in rectangular formLet $c_1$ and $c_2$ be the two complex numbers that frame an even triangle with $3+2i$ and $6+i$.
The dispose of between two complex numbers $a$ and $b$ is given by $|b-a|$. Since the triangle is even, the wipe out someplace in the scope of $3+2i$ and $6+i$ ought to be equivalent to the underlying venture with to the kill among $3+2i$ and $c$, conjointly make back the underlying speculation with to the take out among $6+i$ and $c$.
So, we have the following conditions:
$|6 + i - (3 + 2i)| = |c - (3 + 2i)|$
$|6 + i - (3 + 2i)| = |c - (6 + i)|$
Tackling these conditions, we get:
$|3 - i| = |c - (3 + 2i)|$
$|3 - i| = |c - 6 - i|$
Presently, let's discover the esteem of $c$:
$|c - (3 + 2i)| = |3 - i|$
[tex]\$|c - (3 + 2i)| = \sqrt{(3-0)^{2} + (-1-0)^{2} = \sqrt{10}\$[/tex]
So, [tex]\$c - (3 + 2i) = \pm \sqrt{10} e^{i\theta}\$[/tex], where [tex]\$\theta\$[/tex] is the point between the positive genuine hub and the line interfacing $3+2i$ and $c$?
Presently, let's discover the esteem of $c$ utilizing the moment condition:
$|c - (6 + i)| = |3 - i|$
[tex]\$|c - (6 + i)| = \sqrt{(3-0)^{2} + (-1-0)^{2} = \sqrt{10}\$[/tex]
So, [tex]\$c - (6 + i) = \pm \sqrt{10} e^{i\theta'}\$[/tex], where [tex]\$\theta'\$[/tex] is the point between the positive genuine hub and the line interfacing $6+i$ and $c$?
Since the triangle is equilateral, $theta$ [tex]\$\theta'\$[/tex] must vary by [tex]\$\pm[/tex] [tex]\frac{\pi}{3}\$.[/tex]
Presently, let's discover the item $c_1 c_2$:
$c_1 c_2 = (c - (3 + 2i))(c - (6 + i))$
$c_1 c_2 =[tex](\pm \sqrt{10} e^{i\theta})(\pm \sqrt{10} e^{i(\theta \pm \frac{\pi}{3})})\$[/tex]
$c_1 c_2 = [tex]10 e^{i\theta} e^{i(\theta \pm \frac{\pi}{3})}\$[/tex]
$c_1 c_2 = [tex]10 e^{i(2\theta \pm \frac{\pi}{3})}\$[/tex]
So, the item $c_1 c_2$ in rectangular frame is [tex]\$10 e^{i(2\theta \pm \frac{\pi}{3})}\$.[/tex]
Learn more about rectangular form here:
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Please help i will give decent points if corrected
Answer:
5.656854
Step-by-step explanation:
So technically, the distance is the hypotenus of the right triangle that forms.
That means we find the square root of 32, or the hypotenuse
[tex]\sqrt{32} = 5.656854[/tex]
Look at picture below for what I mean.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
For the figure shown on the right, find the value of the variable and the measures of the angles.
——
Please please help me!!
Answer:
angle R = 37
angle Q= 114
angle p = 29
Step-by-step explanation:
(3x+3) +(x-8) +(x) =180
5x-5=180
x=185/5
x=37
10 pts
Remy is considering moving into a one-bedroom apartment in Quiet Trees Gardens. The apartment has
a monthly rent of $1,650.
Below are the fees she has been quoted. How much is she expected to pay up front in order to rent this
apartment?
Application: 1.5% of 1 month's rent
Credit application fee $30
Security deposit: 1 month's rent
Last month's rent
Broker's fee: 7% of 1 year's rent
$6,390.75
$6,820.35
O $3,090,75
$4,740,75
Question 4
10 pts
Answer:
Total amount pay for new apartment = $4,740.75
Step-by-step explanation:
Find:
Total amount pay for new apartment
Computation:
Particular Amount
Monthly rent of apartment $1,650
Add:
Application fee [1,650 x 1.5%] $24.75
Credit application fee $30
Security rent $1,650
Broker's fee [1,650 x 12 x 7%] $1,386
Total $4,740.75
Total amount pay for new apartment = $4,740.75
Brainliest for correct answer!!
Answer:
Step-by-step explanation:
Use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] For us that will look like this:
[tex]d=\sqrt{(6-(-3))^2+(-2-4)^2}[/tex] which simplifies to
[tex]d=\sqrt{(9)^2+(-6)^2}[/tex] and a bit more to
[tex]d=\sqrt{81+36}[/tex] so
[tex]d=\sqrt{117}[/tex]
help meeee asap tqqq
the number of yellow ball is 18
(20 POINTS)which equation best matches the model of the sum of the fraction
I believe the correct answer is:
4/4 + 3/4 + 2/4 = 9/4 (The one in the bottom right corner)
I hope this helps! :D
Please help with this
Answer:
f
Step-by-step explanation:
Grace needs to buy a new printer. The printer she wants has a price tag of $60. She has a 25% off coupon and $50 in her bank account. If she must pay 6.75% sales tax, will she have enough money to buy the printer? If yes, how much will she have left over? If no, how much is she short?
Answer:
Yes, she will have $1.96 left
Step-by-step explanation:
Initial cost : $60
Discount : 25%=0.25
Calculating discount : 60 * 0.25 = 15
Calculating cost after discount : 60-15 = 45
Sales tax : 6.75%=0.0675
Calculating sales tax : 45 * 0.0675 = 3.0375≈$3.04
Calculating final cost : 45+ 3.04 = $48.04
Can she buy the printer : 50 - 48.04= $1.96
Answer : yes
Yes, she has enough money to buy the printer. Then the balance of her account will be $ 1.9625.
What is percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
Grace needs to buy a new printer.
The printer she wants has a price tag of $60.
She has a 25% off coupon and $50 in her bank account.
If she must pay 6.75% sales tax.
Then the price of the printer after the discount of 25% and the sales tax of 6.75% will be
Cost = $ 60 x (1 - 0.25) x 1.0675
Cost = $ 60 x 0.75 x 1.0675
Cost = $ 48.0375
Yes, she has enough money to buy the printer.
Then the balance of her account will be
Balance = $ 50 - $ 48.0375
Balance = $ 1.9625
More about the percentage link is given below.
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Sabiendo que 16x10=160¿como resolverías, sin hacer la cuenta escrita los siguientes calculos?A_16x20=
Answer:
A_16x20=320
Step-by-step explanation:
Esto se puede hacer fácilmente de 2 formas.
1) 20 se puede dividir en un múltiplo de 10 y luego multiplicar
16 x 20 =16 x 10 x 2 = 160 x 2 = 320
2) Uso de cero.
Cualquier cosa multiplicada por cero da un cero y luego multiplicar el otro número da el resultado.
16 x 20 = (16 x 2) * 10 = (32) 10 = 320
Así que separamos el cero añadiéndole un 1, lo que lo convierte en 10 y obtenemos el mismo resultado.
This can be easily done in 2 ways .
1) 20 can be broken into a multiple of 10 and then multiplied
16 x 20 =16 x10 x 2=160x 2= 320
2) Use of zero.
Anything multiplied with zero gives a zero and then multiplying the other number gives the result.
16 x 20 = (16x 2) *10= (32)10= 320
So we separated the zero by adding a 1 to it thus making it 10 and we get the same result.
please help me with this, very important kuhdfeyjehfskjb 20 points
Formula for volume of a rectangular prism
Volume = length * width * height
Volume = 4 * 2 * 3
Volume = 24 cubic cm
I hope this helps :)
hii! i’ll give brainliest pls help
Answer:
EarthQuakes
Step-by-step explanation:
I think it's b. This is because people should be smart enough to not build near volcanos, floods with enough pressure would knock the building down no matter what, and I don't know much about landslides.
QUICK HELP
Joanne invested $12,000 in a savings account. She left her money in the account for 4 years at a simple annual interest rate of 7%. How much interest did she earn?
A $840
B $3,360
C $15,360
D $33,600
Candy is creating balloon arrangements for a party . She has 32 red balloons , 24 white balloons and 16 orange balloons. She wants to make each arrangement with the same number of balloons for each colour . What Is the greatest number of arrangements that can be made by her if each balloon is used ?
Answer:
16
Step-by-step explanation:
what is the determinant of matrix |-8|?
Given:
The matrix is [tex][-8][/tex].
To find:
The determinant of given matrix, i.e, [tex]|-8|[/tex].
Solution:
If a matrix is A of order [tex]1\times 1[/tex], then the value of the determinant of that matrix is equal to the element of that matrix.
For example: Let A be the matrix of order [tex]1\times 1[/tex].
[tex]A=[a][/tex]
Then,
[tex]|A|=a[/tex]
The given matrix is [tex][-8][/tex]. So, the determinant of given matrix, i.e, [tex]|-8|[/tex], is
[tex]|-8|=-8[/tex]
Therefore, the value of determinant of given matrix is -8.
(3+2).12= me ayudannnn
Answer:
60
Step-by-step explanation:
3+2=5
5*12=60
Respuesta:
¿El punto que colocó después del segundo corchete indica multiplicar? Si es así, aquí está la respuesta.
Explicación paso a paso:
3 + 2 = 5
5 * 12 = 60
Respuesta: 60
the expression shown is the cost a customer pays for an item, where c is the cost the store pays for the item and 0.85c is the 85% price increase the store adds to the item. which expression is equivalent to c + 0.85c?
A. 0.15c
B. 0.85c
C. 1.15c
D. 1.85c
Find the volume of the pyramid
volume
18 cm
10 cm
10 cm
options
1,800 cm
900 cm
600 cm
750 cm
[tex]_____________________________________[/tex]
ANSWER:V = 1,800 cmSOLUTION:V = l × w × hV = 18 × 10 × 10[tex]\large\boxed{\tt{\green{V = 1,800}}}[/tex][tex]_____________________________________[/tex]
----------❥︎XxYunaKoharuChanxXFind the circumference of this circle
using 3 for T.
C ~ ?
[?]
36
C = ad
helppp
Answer:
C = pi d
C = 3 × 36
C = 108
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needed to be 20 characters long.....
write the number into 3 significant figures 7.00956
=================================================
Explanation:
Use a marker to highlight the first three digits on the left. That would be the 7, 0 and 0.
The digit just to the right of that second "0" is the digit "9". Since this 9 is larger than 5, we'll bump the 7.00 up to 7.01
The 0 in 7.01 is significant because it's between two nonzero values. So we have three sig figs here.
At the Hamilton County Fair, 6 of the last 15 people to spin the prize wheel won a prize. Considering this data, how many of the next 20 players would you expect to win a prize?
6 out of the last 15 = 6/15 = 0.4 = 40% of the people won a prize.
Multiply the 20 players by 40%:
20 x 0.4 = 8
You would expect 8 people to win.
Answer:
8
Step-by-step explanation:
The yearly profits of a company are shown in the table.
Which answer describes the average rate of change from Year 2 to Year 4?
A Profits increased by an average of $10,600 per year
from Year 2 to Year 4.
B Profits increased by an average of $21,600 per year
from Year 2 to Year 4.
C Profits decreased by an average of $21,600 per year
from Year 2 to Year 4.
D Profits decreased by an average of $10,600 per year
from Year 2 to Year 4.
Answer:
Step-by-step explanation:
Hi, Emily. The average rate of change can be calculated by adding all the profits together and dividing by the different profits (4 profits all together A to D) so 10,600+21,600+-21,600+-10,600= 0
0/4= 0
So we can best describe this as 0 or nothing at all as it hasnt changed from year 2 to 4.
Many Regards,
Abdelmumen Nakoa
A fellow 8th grader.
1/6 + 1/2 x (2 -2/3)
Answer:
5/6
Step-by-step explanation:
See the steps below:)
Answer:
5/6
Step-by-step explanation:
PEMDAS
Courtney would like to buy a new phone for $680. So far, she has saved $240. If she earns $8 an hour
babysitting, how many hours will she need to work to be able to buy the phone?
Answer:
she will need to work for 55 hours to buy the phone
Step-by-step explanation:
680 - 240 = 440
that's how much more she needs
449 ÷ 8 = 55
and that's the answer
55
hope that helped
Answer:
55 hours
Step-by-step explanation:
Well first we need to set up the equation
We know she needs 680$ to buy the phone so the equation must be equal to 240
She has 240 and earns 8 dollars per hr so were finding out how many hours of work is needed to be able to buy the phone
Represent the number of hours worked by "x"
Set the equation up as
240 + 8x = 680
Add -240 to both sides of the equation to make 240 be 0 and 680 be 440
8x = 440
divide both sides of equation by 8 to get what x equals
x=55
She needs to work 55 hours
In right triangle ABC, a = 7, b = 9 and
Answer: the answer is 63,ABC
Step-by-step explanation:
An angle measures 110.8° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
34.6 and 145.4
Step-by-step explanation:
x+(x+110.8) = 180
2x= 180-110.8
2x= 69.2
x= 34.6
Measure of each angle:
x= 34.6
x+110.8 = 34.6 + 110.8 = 145.4
The 17 students on the varsity basketball team want to raise 857.11 to buy new game jerseys,they have already raised 218.25,if each student raises the same amount,how much more money must each other raise?
Answer:Each of the 17 students will need to raise 37.58 each
Step-by-step explanation:
Total amount needed to be raised =857.11
Amount of money already raised =218.25,
Amount of money required to complete the amount needed to be raised =857.11 -218.25=638.86
Since there are 17 students to raise the money, Each student will raise
638.86/17=37.58
Each of the 17 students will need to raise 37.58 each to complete the money
Tiffany withdrew $20 on fourteen different occasions from her bank account. After the fourteen transactions, what integer represents the change to her bank account balance?
Answer:
$-280
Step-by-step explanation:
Tiffany withdrew $20, 14 times. a withdrawal means the amount in her account would reduce.
total change in balance = 20 x 14 = 280
because it is a withdrawal, a negative sign would be attached
Answer: -280
Step-by-step explanation: