=====================================
Work Shown:
area = base*height
area = 16*7
area = 112 square cm
----------------
Extra info (optional section):
The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.
Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.
The price of a car is currently 120,000$. The price of the car decreases annually by 2.5%. What is the price of the car after 8 years?
Answer:
97,988.216
Step-by-step explanation:
So, we can find this by using the following formula:
First value(change)^time
We know that the orginal, or first value, is 120,000.
We know that the time interval for this is 8 years, which is our time value.
We know that the decrease in this price is 2.5%. However, this is not our change.
Our change is the 97.5% price that is left.
This makes sense, because you would get a super small price when you use 2.5% as change.
So to sum up what we have done so far:
First value - 120,000
Change - 100%-2.5% = 97.5%. In decimal form: 0.975
Time - 8
So lets plug these into:
[tex]First_.value(change)^t^i^m^e[/tex]
=
[tex]120,000(0.975)^8[/tex]
And remember your order of operations here.
We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.
We have the exponent 8, which is attached to the 0.975.
So in your calculator, take 0.975, and put it to the 8th power.
You should get 0.816651803662261962890625
Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.
Now our equation looks like:
120,000(0.816651803662261962890625)
We have done parethese, exponents - now we have multiplication and division.
We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:
[tex]120,000*0.816651803662261962890625[/tex]
Now multiplying this you should get:
97,998.216439471435546875
This is where you can round your answer.
I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:
97,998.22
So this is the new price of the car!
Hope this helps!
oh I did a mistake earlier , pardon ^^"
Current price (Pₒ) = 120, 000 $Rate of Depreciation (R) = 2. 5% Total Time = 8 yearsLet price after 8 years be P.
Using the compound interest formula of shrinking principal :-
P = Pₒ( 1 - R/ 100) ᵀ
P = 120, 000 ( 1 - 2.5/ 100)ᵀ
P = 120, 000 { (100 - 2.5)/ 100}ᵀ
P = 120, 000{ 97. 5/ 100 }ᵀ
P = 120, 000 {0. 975 } ⁸
P = 120, 000 { 0. 8166}
P = 97,998.216 $
Since, P is is price after 8 years
Answer:-The price of the car after 8 years will be 97, 998. 216 $
Write an equation of a line in slope-intercept form with a slope of -12 and a y-intercept of 3.
a
y = 3x - 12
y = -12(3)+b
Ob
Ос
3= -12x + b
Od
y=-12x + 3
Answer:
y = -12x + 3
Step-by-step explanation:
The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:
y = mx + b
y = -12x + 3
SUPER URGENT: Find secθ.
Answer:
B
Step-by-step explanation:
√((-20)²+21²)=√(400+441)=√841=29
cos θ=-20/29
sec θ=-29/20
Mr. K needs to hire an electrician. The electrician charges $82 for making a house call and an additional $55.00 per hour of labor. If Mr. K only budgeted $300 for the electrical repair, write, solve, and graph an inequality that shows the maximum amount of hours of labor Mr. K can afford to hire the electrician.
Answer:
[tex] \displaystyle4 \: \text{hours}[/tex]
Step-by-step explanation:
we are given that,
The electrician charges $82 for making a house call an additional $55.00 per hour of laborMr. K only budgeted $300 for the electrical repairlet the hours be h
from the first condition we obtain:
[tex] \displaystyle 82[/tex]
from the second condition we ge:
[tex] \displaystyle 82+ 55h[/tex]
from the final condition we acquire:
[tex] \displaystyle 82 + 55h \leqslant 300[/tex]
to figure out the hour we have to solve the equation to do so
cancel 82 from both sides:
[tex] \displaystyle 55h \leqslant 215[/tex]
divide both sides by 55:
[tex] \displaystyle h \leqslant 3.9636 \dots[/tex]
since 3.96.... is very close to 4 he can maximum afford 4 hours of labor
[tex] \displaystyle h = 4[/tex]
refer the attachment
I don’t understand this equation. m= -3 and b = 3
can you please put the equation so i can answer it?
thank you!
Question and choices are in the photo please explain the answer
Step-by-step explanation:
but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16
Gerry worked 314 hours on Thursday, 425 hours on Friday, and 612 hours on Saturday. How many hours did he work in all during the 3 days? Will give brainliest.
Answer:
1351 hours....that question doesn't make sense though because you can only work 24 hours every day.
Step-by-step explanation:
Answer:
1351 hours
Step-by-step explanation:
You add the time of all the dates up
Find the value of x.
6 3 2 x
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,
[tex]\frac{BA}{BC}=\frac{AD}{DC}[/tex]
Substitute,
[tex]\frac{x}{6}=\frac{2}{3}[/tex]
Cross products,
[tex]3(x)=2(6)[/tex]
Simplify,
[tex]3x=12[/tex]
Inverse operations,
[tex]3x=12\\\\x = 4[/tex]
Find the breadth of a rectangular park whose area is 54.6 sq m and 15.6 m long
Answer:
breadth = 3.5 m
Step-by-step explanation:
length = 15.6 m
Area of rectangle = 54.6 sqm
breadth = [tex]\frac{Area}{length}[/tex]
[tex]= \frac{54.6}{15.6}\\\\= \frac{54.6*10}{15.6*10}\\\\=\frac{546}{156}\\\\= 3.5[/tex]
Help please !! Thank u
Answer:
parallel = same slope (-2x)
so it's y=-2x + b
let's find b by plugging in 1 for x and 3 for y (the coordinates)
3 = -2*1 + b
3 = -2 + b
5 = b
there you have it:
y = -2x +5
brainliest would really be appropriated (possible when someone else also leaves an answer)
What is the approximate area covered by the label?
cotA + tanA= secAcosecA
Step-by-step explanation:
cotA + tanA
= cosA / sinA+ sinA/ cosA
= cos2A + sin2A / sinA* cosA
= 1 / sinA* cosA
=1/ sinA * 1/ cosA
= cosecA *secA
=secAcosecA
[tex]\frac{cos^2A + sin^2A}{sinAcosA}[/tex]Answer:
Step-by-step explanation:
cotA + tanA = secAcosecA
LHS=cotA + tanA
=[tex]\frac{cosA}{sinA}[/tex] + [tex]\frac{sinA}{cosA}[/tex]
take lcm of the denominator
=[tex]\frac{cosA*cosA + sinA*sinA}{sinAcosA}[/tex](COS^2A + sin^2A =1)
=[tex]\frac{1}{sinAcosA}[/tex]
=1/sinA * 1/cosA
=cosecA*secA
=secAcosecA
therefore LHS=RHS
hence proved.
Collins middle school's basketball team won 75% of their games if they lost the board games how many games did they win?
The phrase in the original question is:
....if they lost 12 games......
not
....if they lost board games......
Answer:
36 games won
Step-by-step explanation:
Given
[tex]\%Win = 75\%[/tex]
[tex]Lost = 12\ games[/tex]
Required
Number of games won
Give that: [tex]\%Win = 75\%[/tex]
The percentage loss is:
[tex]\%Loss = 100\% - \%Win[/tex]
So, we have:
[tex]\%Loss = 100\% - 75\%[/tex]
[tex]\%Loss = 25\%[/tex]
Calculate the number of games (n) using:
[tex]Lost = \%Loss * n[/tex]
[tex]12 = 25\% * n[/tex]
Make n the subject
[tex]n = \frac{12}{25\%}[/tex]
[tex]n = 48[/tex]
So, the games won is:
[tex]Win = n - Lost[/tex]
[tex]Win = 48 - 12[/tex]
[tex]Win = 36[/tex]
40 POINTS!!!
All integers are either odd or even. Conceptually, an integer is odd if it has a remainder of 1 when dividing by 2. And an integer is even if it has a remainder of 0 when dividing by 2.
But when proving something rigorously, mathematicians use more precise definitions, like these: an integer is odd if it can be written in the form 2k + 1, where k is some integer. An integer is even if it can be written in the form 2k, where k is some integer. For example, 13 is odd because 13 can be written as 2(6) + 1.
With these definitions, use complete sentences to explain why zero is an even number.
Answer:
[tex] = > 2k + 1 \\ when \: k = 0 \\ 2(0) + 1 \\ = 1 \\ \therefore \: zero \: is \: odd \\ \\ = > 2k \\ when \: k = 0 \\ 2(0) \\ = 0 \\ \therefore \: zero \: is \: not \: even \: because \: when \: divided \: by \: 2 \: \: remainder \: is \: zero[/tex]
(b) In a continuous series the average weight of some students is 75 kg and the sum of the weights is 6000 kg. Find the number of students.
Answer:
the number of students is 80
A pair of sandals cost 29 Sarah has one $20 bill , one $ 5 bill, and three $ 1 bills. How much more money does she need to buy the sandals ?
Answer:
sarah needs $3 more to buy the sandals
Step-by-step explanation:
Fill in all of the missing measure in the special right triangles shown below
Answer:
a=14
b=9.9
Step-by-step explanation:
for a.....
sin 45 = opposite/hypotenuse
sin 45 = (7√2)/a
make a the subject of the formula....
a = (7√2)/sin 45
a = 14
for b.....
tan 45 = opposite/hypotenuse
tan 45 = (7√2)/b
make b the subject of the formula...
b = (7√2)/tan 45
b = 9.9
please help find x!! asap
Answer:
x = 60
Step-by-step explanation:
The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.
1. Which 3 numbers have the same answer whether they’re added or multiplied together?
^Brainliest anyone^
Answer:
1, 2, 3
Step-by-step explanation:
1 + 2 + 3 = 6
1 * 2 * 3 = 6
need help quickkkk!!
Answer:
1 + 1 = 1 is the correct answer ok
Answer:
1+1 is 2 it is wrong here in explanation it is good way to solve
Step-by-step explanation:
take 1 finger and 1 more finger how much is it 2 ! ok so bye do good work !!!
Find the length x
Plz help ASAP
Answer:
Step-by-step explanation:
Tim has 5 yellow and 10 blue marbles in a bag. What is
the probability of choosing a yellow marble from the
bag?
Answer:
1/2 chance
Step-by-step explanation:
5 and 10 can be divided down to 1/2
Please help this is due today!!
Answer:
c is the answer
Step-by-step explanation:
Graphs really aren't my thing but I really feel like it is c
GOOD LUCK HOPEFULLY YOU GET A GOOD GRADE
how do you do the probability section?
If a letter was chosen at random from the word SPORTSMANSHIP, which of the following is closest to the probability that it would be a vowel?
the number of calls received by an office on Monday morning between 8:00am and 9:30 am has a mean of 3.Calculate the probability of getting no more than 3 calls between eight and nine in the morning.
Answer:
Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.
In mathematical terms,
X
∼
P
o
i
s
s
o
n
(
2
)
.
The PMF of the random variable X is given as,
P
(
X
=
x
)
=
e
−
2
×
2
x
x
!
f
o
r
x
=
0
,
1
,
2
,
.
.
.
.
.
=
0
E
l
s
e
w
h
e
r
e
The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,
P
(
X
≤
3
)
=
P
(
X
=
0
)
+
P
(
X
=
1
)
+
P
(
X
=
2
)
+
P
(
X
=
3
)
=
e
−
2
×
2
0
0
!
+
e
−
2
×
2
1
1
!
+
e
−
2
×
2
2
2
!
+
e
−
2
×
2
3
3
!
=
0
.13534
+
0
.27067
+
0
.27067
+
0
.18045
=
0
.85712
Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:
i think of a number, multiply it by 3, add 4 and square the answer
Step-by-step explanation:
I can read your mind you know
just ask me how
and see the magic
think of any number,
add it by 3 then by 5 then by 1.
multiply it by two
divide it by two
subtract the first number you thought of from your current number
your answer will be 9
I'm I correct ?
Answer:
2 x 3 = 6 + 4 = 10 squared = 100
Step-by-step explanation:
The square of a number is the number that can be multiplied by itself to get that specific number, for example 10 x 10 = 100
Jasmine bought a new IPhone for $1000. The value of the phone depreciates 9% each year. What will the phone be worth after 4 years?
What is a carbon footprint? What are some actions you can take to reduce your carbon footprint?
Find the gradient of the line segment between the points (-4,4) and (0,12).
gradient = 12-4 ÷0-(-4)=8÷4=2
Answer:
gradient = 2
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)
m = [tex]\frac{12-4}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2