Answer:
[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]
Step-by-step explanation:
[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]
[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
Ir = 4cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.
Answer:
38.8%
Step-by-step explanation:
Area of the triange:
6*6.5*.5= 19.5
Area of the circle:
π*16= 16π
19.5/16π= .387940174
38.8%
Answer:
38.8%
Step-by-step explanation:
AVERAGES 1. Find the mean, mode and median of: (a) 1.5, 1.2, 1.3, 1.5, 1.4 (b) 2.3, 1.2, 2.4, 1.2
Answer:
Look at Step by step
Step-by-step explanation:
Mean: (a) 1.38
Mean: (b) 1.7
median (a) 1.3
Pacx '?
a]g.;//
>Dc.cccccccccccccccccccccccccccccx;;;;;;;;;;;;;;;;;;;;;;;;;|;z
;zzx';
[c' / v\Zcccccccc
Answer:
A)mean is 1.38 mode is 1.5 median is 1.4
B)mean is 1.775 mode is 1.2 median is 1.75
Step-by-step explanation:
the mean is the average of the numbers added together divided by how many numbers are listed. 1.5+1.2+1.3+1.5+1.4=6.9 6.9 divided by 5 = 1.38
mode is the number that shows up in the list the most.
median is the number that is in the middle of the list of numbers when listed highest to lowest or vice versa.
In the instance of (B) since there were only 4 numbers and could not get exact middle number you take the 2 middle numbers and add them together and divide by 2 to get the average of those 2 numbers
Triangles ABC and JKL are similar. Find the missing sides.
Answer:
option A
Step-by-step explanation:
the bigger triangle is two times the size of the small one
jessica's piggy bank has 100 coins, including pennies, nickels, dimes and quarters/ together they are worth $8.36. there are nine more dimes than pennies and five times as many nickels as pennies. How many of each kind of coin does jessica have in her piggy bank?
Answer:
the bank contains 30 nickels and 70 dimes.
Step-by-step explanation:
At 4 p.m., the temperature started to change drastically. Each hour, for three hours the temperature decreased by 7°F
Which expression best shows another way to write the product for the temperature change?
07-7-7
(-1)(7+7+7)
Answer:
07-7-7
Step-by-step explanation:
During a game of pool near hit a ball and it follow the path from B to C and then to de- the angles formed by the path of congruent to the nearest 10th of an inch which of the following represents the total distance the ball travels before it stopped at point D
Answer:
please mark me as brainleast
Brian spends 3 5 of his wages on rent and 1 3 on food. If he makes £735 per week, how much money does he have left?
Answer :
Brian has $49 left.
Step by step explanation :
Step 1 : Find how much money Brian spends on rent and food.
First question we should be asking is what is 3/5 of 735?
Let's find that.
[tex]\frac{3}{5}[/tex] * [tex]\frac{735}{1}[/tex]
= [tex]\frac{(3)(735)}{(5)(1)}[/tex]
= [tex]\frac{2205}{5}[/tex]
= 441
We know Brian spends $441 on rent. Now we find how much he spends on food.
[tex]\frac{1}{3} * \frac{735}{1}[/tex]
= [tex]\frac{(1)(735)}{(3)(1)}[/tex]
= [tex]\frac{735}{3}[/tex]
= 245
Brian spends $245 on food.
Step 2 : Add what he spends on rent and food together.
$441 + $245 = $686
Step 3 : To find out how much money Brian has left, we subtract $686 from $735.
$735 - $686 = $49
Conclusion : Brian has $49 left.
Hope this helps, please mark brainliest if possible. Have a nice day.
help help help help pls
Answer:
The length of AB is approximately 6.07 m
Step-by-step explanation:
The given dimensions of the triangle are;
The value of x = 7.7 m
The measure of angle, θ = 52°
The length of side AB = Required
The given triangle ΔABC is a right triangle, with the following sides;
AC = x = The hypotenuse (opposite to right angle) side
(Leg) AB = The opposite side to the reference angle, θ
(Leg) BC = The adjacent side to the reference angle, θ
By trigonometric ratio, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]
Therefore;
[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]
AB = 7.7 × sin(52°) ≈ 6.07
The length of AB ≈ 6.07 m.
Ranu has 200 stamps and Cathy has 132 stamps. How many stamps must Ranu give Cathy so that they will have the same number of stamps?
Answer:
34
Step-by-step explanation:
let x = number of stamps ranu gives out and the number of stamps cathy receives
200 - x = 132 + x
combine like term s
200 - 132 = 2x
68 = 2x
x = 34
select all explanation that prove triangle ABC is congruent to triangle A'B'C
Answer:
AB = A'B'
BC = B'C'
AC = A'C'
angle ABC = angle A'B'C'
angle CAB = angle C'A'B'
angle CBA = angle C'A'B'
Step-by-step explanation:
use different axomes to show relation,
Answer: Reflect ABC across the vertical line passing through C
Step-by-step explanation:
i have no clue what i’m doing
Answer:
c(x) = 16x + 22736
R(x) = -2x^2 + 524x
[ -2x^2 + 508x - 22736] = 0
Factored: f(x) = -2(x - 196)(x - 58)
58 to break even
Step-by-step explanation:
Your cost is the amount it cost you to "make" stuff.
You have fixed and variable costs (cost of oven is fixed cost of flower and sugar is variable to make cupcakes)
your cost is c(x) = 16x + 22736
"your oven and building cost $22736 per month and you use $16 worth of sugar butter flour to make one cupcake ( it must be a huge one) ...
your revenue is the amount of money that "comes into your business"...
the amount of money in the cash register.... Note: this is only money IN you still have to pay for the building, sugar flour etc.
R(x) = -2x^2 + 524x
Note: the minus and the square basically say that the more you charge the less cupcakes you will sell...
Profit is the money in minus the money out
P - R - E [ -2x^2 + 524x ] - [16x + 22736]
the break even point is where the two functions are the same
in other words where C=R or R-C=0
[ -2x^2 + 524x ] = [16x + 22736]
[ -2x^2 + 508x - 22736] = 0
Factored: f(x) = -2(x - 196)(x - 58)
Answer:
Step-by-step explanation:
C(x)=16x+22736
R(x)=-2x²+524x
P(x)=R(x)-C(x)
=-2x²+524x-16x-22736
=-2x²+508-22736
when profit is zero then no gain or loss.
so -2x²+508x-22736=0
or x²-254x+11368=0
196+58=254
196×58=11368
x²-54x-196x+11368=0
x(x-54)-196(x-54)=0
(x-54)(x-196)=0
x=54,196
so x=54 is the smallest number of bins to break even.
Which scenario depicts two independent events?
The school play opens tonight and it is raining.
Neva is hungry and she buys a snack from the concession stand.
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
Luka paints during school and he stains his shirt.
Neva is hungry and she buys a snack from the concession stand event is independent.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.
Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.
The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.
The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.
Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ5
Which function has the same range as
f(x)=-2 Sqrt X-3 +8?
g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8
Answer:
C
Step-by-step explanation:
The option that has the same range than f(x) is:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
What is the range of the given function?
Here we first have the function:
[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]
Remember that the square root only can be evaluated arguments equal or larger than zero.
So the minimum value of x that we can use is x = 3.
[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]
And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.
Which other function has the same range?So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.
The option that meets these two conditions is the third one:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
If you want to learn more about domains and ranges, you can read:
https://brainly.com/question/10197594
Find the y-component of this
vector:
12.0 m
73.3°
Remember, angles are measured from
the +X axis.
y-component (m)
Answer:
The y-component is 11.49 m.
Step-by-step explanation:
Given that,
Vector = 12 m
Angle, θ = 73.3°
We need to find the y-component of this vector.
It can be calculated as follows :
[tex]v_y=v\sin\theta\\\\v_y=12\times \sin(73.3)\\\\=11.49\ m[/tex]
So, the y-component is 11.49 m.
PLEASE HELP. (Will Mark Brainliest)
Answer:
Step-by-step explanation:
17/60 = 0.2833333333..... 3 repeating
25/60 = .025 terminating
31/44 = 0.7045454545..... 45 repeating
54/72 = 0.75 terminating
can someone help me with Q I can't seem to get it
Answer:
Can u do zoom it plz i cant see
A PE teacher has to organise two year groups into netball teams, each separately. Year 7 has 70 students and Year 8 has 98 students. If each year group must be split up equally into teams all of the same size, what is the largest team size she can use?
Answer:
14
Step-by-step explanation:
Find HCF
Year 7: 70 students
7x5x2=70
Year 8: 98 students
7x7x2=98
HCF: 14
The largest team size she can use is 14 students.
Grade 7: 5 teams
Grade 8: 7 teams
Brainliest please, thanks!
Solve the following system of equations.
\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}
−5x+4y
x
=3
=2y−15
x=?
y=?
Step-by-step explanation:
The first president of the United States was
[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]
Answer:
x=9
y=12
Step-by-step explanation:
PLEASE HELP ME I NEED AN ANSWER ASAP!! <3
(photo included)
Answer: B.
tan 45=perpendicular/base
1=8/AB
So, AB=8
Since it's a right-angled triangle, BC is a hypotenuse.
BC=√(AC^2+AB^2)
=r√(8^2+*^2)
=8 √2
Which of these shows 9 + 4p rewritten using the commutative property of addition?
4p + 9
9p + 4
9 − 4p
4p − 9
Answer:
[tex]4p + 9[/tex]
Step-by-step explanation:
Commutative property of addition:
Changing the order of addends does not change the sum.
Hope it is helpful...Answer:
4p+9
Step-by-step explanation:
Addition is the same reversed.
For example,
7+5=12
AND
5+7=12
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!
Answer:
1. 160 min
2. 84 min
3. 5:12 p.m.
4. 6:40 p.m.
5 a 4:44 p.m.
b 7:14 p.m.
What is the absolute value of 6.57?
Answer: it should just be 6.57
Step-by-step explanation:
Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.
Given:
y is directly proportional to x.
[tex]y=30[/tex] when [tex]x=5[/tex]
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
We have, [tex]y=30[/tex] when [tex]x=5[/tex]. Substituting these values in (i), we get
[tex]30=k(5)[/tex]
Divide both sides by 5.
[tex]\dfrac{30}{5}=k[/tex]
[tex]6=k[/tex]
Substituting [tex]k=6[/tex] in (i), we get
[tex]y=6x[/tex]
Therefore, the required equation is [tex]y=6x[/tex].
Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above
Answer:
A.Hypotenuse
Step-by-step explanation:
Side AB is the longest side of the triangle
The longest side of a triangle is known as the hypotenuse
Complete the table fraction | decimal
Answer:
1/5=0.2
0.3=3/10
1/2=0.5
7/10=0.7
3/4=0.75
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.
Answer:
Step-by-step explanation:
when they meet, time taken are same.
total distance they travel=20+25=45mile
total speed=45+50=95mile/hour
time=45/95=0.474hour
0.47*45=21.4mile>20mile so they meet at east of store.
Can someone give me the answer ?!?
Answer:
25%
Step-by-step explanation:
Probability = # of favorable outcomes / possible outcomes
favorable outcomes is what we want to happen ( throwing more than 3 pitches )
So to find the # of favorable outcomes we must find the frequency that the pitcher throws more than 3 pitches ( note: frequency of throwing 3 pitches is not included)
There are two possible outcomes of the pitcher pitching more than 3 pitches, 4 pitches having a frequency of 15, and 5 pitches which has a frequency of 10
So # of favorable outcomes = 10 + 15 = 25
Now we want to find the # of possible outcomes.
To do so we simply add the frequencies of each possible outcome.
15 + 20 + 40 + 15 + 10 = 100
So there are a total of 100 possible outcomes
Finally to find the probability of the pitcher throwing more than 3 pitches we divide favorable outcomes ( 25) by possible outcomes (100)
Our answer = 25/100 which can be converted into a percentage as 25%
3x^2 + 14x
how do you factories this
Answer:
x(3x+14)
Step-by-step explanation:
what do those terms share? they share the letter "x"
therefore we multiply x by 3x^2/x + 14x/x
3x^2/x = 3x and 14x/x = 14
the force which pulls or tends to pull a body is called____
Answer:
force of gravity
hope it helps
pls mark me as the brainliest
thank u
Answer:
pulling force
Step-by-step explanation:
There is no special name for that.
Physics is usually just concerned with "forces", and doesn't specify whether the force pushes or pulls.
If you want to be more specific, you can just call it a "pulling force".
I hoped this was satisfying!
Help
Will
Give
Brainlist
Answer:
3.14 million
Step-by-step explanation:
10.676 - 7.536 = 3.14
To check
7.536 + 3.14 = 10.676
Answer:
3.14 million is the correct answer
