When using the given diagram to determine the area of the pentagon by decomposition, which statements are correct?:
Answer choices:
(A) Area of ∆ABC = 84 in²
(B) Area of ∆ABC = 42 in²
(C) Area of trapezoid = 1/2(14 ÷ 10)8
(D) The area of the pentagon is 180 in²
(E) The area of the pentagon is 138 in²
APPLY TO ALL THAT IS TRUE
Answers
Answer:
Options (B) and (E)
Step-by-step explanation:
Area of ΔABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(14)(6)[/tex]
= 42 in²
Area of trapezoid ADEC = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
[Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides and 'h' is the height of the isosceles trapezoid given]
= [tex]\frac{1}{2}(10+14)(8)[/tex]
= 96 in²
Area of the pentagon = Area of triangle ABC + Area of trapezoid ADEC
= 42 + 96
= 138 in²
Therefore, Options (B) and (E) are the correct options.
Related Questions
Which of the following has the same value as 4^4 x 4^-4
Answers
Answer:
its just 1
Step-by-step explanation:
literally that is the answer
It would be 4 x 4 times 4 x -4
x is the mutiplication sign btw
Desmond plays 30 minutes of soccer each day. How many seconds of soccer does Desmond play in 6 days?
Answers
Answer:Desmond will play for 10800 seconds in 6 days
Step-by-step explanation:
In a Day Desmond plays soccer = 30 minutes
In 6 days, he will play = 6 x 30 = 180 minutes
Changing 180 minutes to seconds
we know that 60 second s= 1 minutes
Therefore ?? seconds = 180 minutes
180 x 60 =10800 seconds
help me. ayuda por favor!!!
Answers
listen mi amigo
for question #1: M= 0
for number 2: M=14
and number 3:
[tex]m = - \frac{11}{10} [/tex]
How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?
Answers
Answer:
6 years
Step-by-step explanation:
$8 per year 48÷8=6 years
Answer:
Dude i don´t eeven know
Step-by-step explanation:
ty for da points tho
If you buy 3 shirts, you get 10% discount. If you paid $270 for 6 shirts
what is the original price of a T-shirt?
Answers
$270 / 2 = $135
This is the price of 3 T shirts combined.
Find 10% of 135
10% of $135 is $13.5
Subtract the discounted price from the price of the 3 combined T shirt.
$135 - $13.5 = $121.5
This is the price of 3 shirts without discount.
To find the price of 1 T shirt divide $121.5 by 3
$121.5 / 3 = $40.5
Therefore the price of 1 T shirt is $40.50
The original price of 1 T-shirt is $40.50.
We have given that,
If you buy 3 shirts, you get 10% discount.
If you paid $270 for 6 shirts,
We have to determine the original price of a T-shirt
First we are gonna divide 270 by 2
$270 / 2 = $135
This is the price of 3 T-shirts combined.
Find 10% of 135
What s the discount?The discount is the list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.
10% of $135 is $13.5
Subtract the discounted price from the price of the 3 combined T-shirt.
$135 - $13.5 = $121.5
This is the price of 3 shirts without a discount.
To find the price of 1 T-shirt divide $121.5 by 3
$121.5 / 3 = $40.5
Therefore the price of 1 T-shirt is $40.50.
To learn more about the original price visit:
https://brainly.com/question/7459025
#SPJ2
Some number subtracted by -6 is 41. Multiply this number by-3. Then divide
this number by -4. What is the final number?
Answers
x=-47 times -3
=141 divided by -4 =35.25
(i need a fast answer) On a coordinate plane, point G is at (2, 8), point H is at (10, 10), point I is at (10, 0), and point J is at (6, negative 4). Which side has a length of 10 units?
HG
GJ
HI
IJ
Answers
Answer:The guy above me is correct you can give him brainlest.
Have a great day!
The coaches of a group of debate teams answered a survey about hours of debate, team practice and number of team wins. The graph shows the results of this survey. Which equation best represents the line of best fit?
a
y = 7x + 5
b
y = -2x + 1
c
y = 4x + 2
d
y = 4x + 8
Answers
Answer:
Step-by-step explanation:
287
Route
Four less than a number is twelve
Answers
PLEASE ANSWER!!!!!!!
Answers
Answer:
I am just trying to help but by the looks of it, it could be the right, if its wrong so sorry.
Step-by-step explanation:
Andre withdrew spending money from his checking account that initially had $982. What was the amount of his withdrawal, w, if his ending balance was $922.
Answers
Answer:
$60.00
Step-by-step explanation:
you subtract the original number with the new number to see the difference.
Factor yz + 6 + y +6z.
z + 1)(y + 6)
(z - 1)(y + 6)
(z + 6)(y - 1)
Answers
Explanation:
yz + 6 + y + 6z
= yz + y + 6 + 6z
= y(z+1) + 6(1+z)
= (z+1)(y+6)
For (z+1), you can also write (1+z), it doesn’t matter.
Hope it helps!
Marcie Bruno received a 4.2% merit increase and a 2.75% cost-of-living increase
after her quarterly review. Her new weekly salary was $788.92. What was her
weekly salary prior to the increases?
Answers
Answer:
734.1
Step-by-step explanation:
100%=788.92
4.2%=33.13
2.75%=21.69
33.13+21.69=54.82
788.92-54.84=734.1
enton is shopping for clothes during a special event. He pays $24.99 for a pair of jeans and $5.25 for a clearance-priced shirt. He also pays $10 for a belt. How much does Kenton pay for his clothes?
Answers
Answer$18.12
Step-by-step explanation:
24.99+5.25-12.12=$18.12
i’ll give brainly i need 2 answers
Answers
Answer:
Step-by-step explanation:
15%(p)
HELP ME PLEASE!
I am currently working on my homework and this question popped up. I don't remember how to do it... If you can, please answer this question and show your work so I can do it next time!
Thank you so much!
Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Answers
Answer:
Angle CAB= 63°
Angle ABC= 90°(right-angle)
ACB=180°-(CAB+ABC)
=180°-(63°+90°)
=180°-153°
=27°
Step-by-step explanation:
Answer:
BC ≈ 2.52; AB ≈ 1.28; m∠C = 27°
Step-by-step explanation:
Rational expression please help
Answers
Answer:
Option C is the correct answer of this question .
plz mark my answer as brainlist plzzzz.
How many distinct permutations can be made from the letters of the word
“INDEPENDENCE”?
if anyone could answer, thank you (^-^)
Answers
Answer:
360
Step-by-step explanation:
Word INDEPENDENCE has I−1, N−3, D−2, E−4, P−1, C−1
There are six different letters in INDEPENDENCE
Now according to the question, we need to form 4 different letter words, So the selection of 4 words out of 6 is
[tex]^{6}C _{4}[/tex]
and making its arrangements
So total number of ways is
[tex]^{6}C _{4}[/tex] ×4!=360
The number of distinct permutations can be made from the letters of the word “INDEPENDENCE” is; 1663200
We are given the word INDEPENDENCE and it has;
I − oneN - threeD − twoE - fourP - oneC - oneThus, we see that there are six different letters and 12 letters in total in INDEPENDENCE
Now from the question, the distinct permutations that can be formed is;
12!/(3! × 2! × 4!) = 1663200
Read more on permutations at; https://brainly.com/question/12468032
in the figure above if PQRS is a square, what is the value of a?
Answers
Answer:
sino me quivoco es 1/53 espero aber ayudado
59 + 4/9y
y= -1/2
Thank you
Answers
Answer:
=
4 /9 y+59
Step-by-step explanation:
Answer: 58.78 or 58 and 7/9ths
Step-by-step explanation:
59+4/9(-1/2), 59-2/9=58.78 or 58 and 7/9ths
Mr. McGrath is getting better at math. On his first quiz he scored 57 points, then he scores 61 and
65 on his next two quizzes. If his scores continued to increase at the same rate, what will be his
score on his 9th quiz?
a. 89
b. 93
c. 85
d. 90
I need help on this plss!
Answers
Explanation: The difference was 4 between each number so if you just counted up 4 each time you’d get 89. The sequence would go:
57 61 65 69 73 77 81 85 89
Hope this helps!
8 less a number is less than or equal to 17
Answers
Answer:
less than
Step-by-step explanation:
8 is less than 17
Answer :n ≤ 25
Step-by-step explanation:
n - 8 ≤ 17
n - 8 (+8) ≤ 17 (+8)
n ≤ 25
n ≤ 25 is your answer
help me
A new car is purchased for $17,000 and over time its value depreciates by one half every 3 years. What is the value of the car 19 years after it was purchased, to the nearest hundred dollars?
Answers
Answer:
The answer is "$238".
Step-by-step explanation:
Current worth[tex]= \$ 17,000[/tex]
depreciates by [tex]\frac{1}{2}[/tex] in 3 years.
time= 19 years
depreciates rate=?
Using formula:
[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]
[tex]\to A_t=A_0(1-\frac{r}{100})^t[/tex]
calculates depreciate value in 3 year [tex]= \frac{1}{2} \times 17,000[/tex]
[tex]= 8,500[/tex]
so,
[tex]A_t=8,500\\\\A_0=17,000\\\\t=3\ years[/tex]
[tex]\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%[/tex]
depreciates rate= 20%
[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]
[tex]= \$ 17,000 (1- \frac{20}{100})^{19}\\\\= \$ 17,000 (1-0.2)^{19}\\\\= \$ 17,000 (0.8)^{19}\\\\= \$ 17,000 \times 0.014\\\\= \$ 238[/tex]
Answer:
200
Step-by-step explanation:
Halving Formula:
y=a\left(\frac{1}{2}\right)^{\frac{t}{h}}
y=a(
2
1
)
h
t
a=17000\hspace{40px}h=3\hspace{40px}t=19
a=17000h=3t=19
h is the halving time
\text{Plug in:}
Plug in:
y=17000\left(\frac{1}{2}\right)^{\frac{19}{3}}
y=17000(
2
1
)
3
19
y=210.826702215
y=210.826702215
y\approx 200
y≈200
write an explicit formula for a n the nth term of of the sequence 5,15,25
Answers
Answer:
an = 10n - 5
Step-by-step explanation:
Write an explicit formula for a n the nth term of of the sequence 5,15,25
An explicit formula for the above question is;
an = a+ (n - 1)d
Where
a = First term
d = Common Difference
n = nth term
We are given the sequence below:
5,15,25
The first term a = 5
Common Difference = 15 - 5 = 10
To find the nth term = an
an = a+ (n - 1)d
an = 5 + (n - 1)10
an = 5 + 10n - 10
an = 10n - 5
6. You have $1.95 in quarters and dimes. You have 12 total coins. How many of each denomination
do you have? IS
Answers
Step-by-step explanation:
d+q =12
.25q + .10d = 1.95
d = 12-q
substitute
.25q + .10(12 -q) =1.95
.25q + 1.2 - .1q = 1.95
.15q = .75
q = 5. quarters
d + 5 = 12
d = 7 dimes
Answer:
5 quarters and 7 dimes
Step-by-step explanation:
5 quarters = $1.25
7 dimes = $0.70
7 + 5 = 12
$1.25 + 0.70 = $1.95!!
I hope this helped :)
Also, this answer was calculated by g00gle.
after 7 years, an initial investment of $600 earned $84. Find the interest rate
Answers
Answer:
2%
Step-by-step explanation:
Solving our equation
r = 84 / ( 600 × 7 ) = 0.02
r = 0.02
converting r decimal to a percentage
R = 0.02 * 100 = 2%/year
The interest rate required to
accumulate simple interest of $ 84.00
from a principal of $ 600.00
over 7 years is 2% per year.
m(x) = 3x + 2
n(x) = 2x - 5
Find m(x) and n(x)
Write the composite function. Show your work.
Answers
N(x)=-2.5
Hope it help
FREE BRAINLIEST IF YOU ANSWER CORRECTLY!! (50pts)
you can answer as the color marked instead of typing the whole thing out!
Answers
what is the unit rate if 65 miles in 2 ½ hour.
Answers
Answer:
26 miles per hour
Step-by-step explanation:
65/2.5=26
Answer:
26 is the unit rate
Step-by-step explanation:
2 1/2 is 2.5 so 65/2.5 is 26
What percent of 2/3 is 1/6? HELP!!!!! :(
Answers
Answer:
Look at the pictures
Step-by-step explanation:
Hope this helps