The figure shown is made up of a triangle and a square. The perimeter of the figure is 56 inches. Complete
the description to find the area of the figure.
10 in.
8 in.
10 in.
The total length of three sides of the square is in., so the side length of the square is
in. The area of the triangle is in?, and the area of the square is in?, so the total area is
Answers
Image of figure is missing so i have attached it.
Answer:
The total length of three sides of the square = 36 in
Side length of square = 12 in
A_triangle = 48 in²
Area of square = 144 in²
Total area of figure = 192 in²
Step-by-step explanation:
Total perimeter = 56 inches
Let the side of the square be s.
Thus, perimeter of the 3 sides of the square = 3s
Therefore, adding all the external sides of the figure, we have;
3s + 10 + 10 = 56
3s + 20 = 56
3s = 56 - 20
3s = 36
s = 36/3
s = 12
Area of triangle is given by the formula;
A_triangle = ½bh
Where;
b is base
h is height
Thus;
A_triangle = ½ × 12 × 8
A_triangle = 48 in²
Area of square = 12 × 12 = 144 in²
Total area of figure = 144 + 48 = 192 in²
Related Questions
La ecuación de la recta que lasa a través de los puntos P1 (2,5) y P2 (4,11) es: a) 3x+y+1=0 b)3x-y-1=0 c) 3x-y+1=0
Answers
Respuesta:
3x-y-1 = 0
Explicación paso a paso:
La forma estándar de ecuación de una línea se expresa como y = mx + b
M es la pendiente
b es la intersección con el eje y
Dada la coordenada P1 (2,5) y P2 (4,11)
Pendiente m = y2-y1 / x2-x1
m = 11-5 / 4-2
m = 6/2
m = 3
Sustituya m = 3 y (2,5) en y = mx + b
5 = 3 (2) + b
5 = 6 + b
b = 5-6
b = -1
Obtén la ecuación
y = 3x-1
Igualar a cero
y - 3x +1 = 0
Multiplicar por -1
3x-y-1 = 0
Esto da la ecuación requerida
This is an angle relationship problem
Answers
Answer:
7
Step-by-step explanation:
8c-5+6c-3=90
14c=90+5+3
14c=98
c=7
Are these triangles congruent? If so, state the rule which you used to determine congruence
A. SSA
B. AAS
C. ASA
D. Not necessarily congruent
Answers
Answer:
not necessarily confident cuz simply it doesn't look same size it should be similar
theres one more page
Answers
7) b = 195
8) v = -17
9) x = 20
10) x = -260
How many fluid ounces are in 12 ¼ cups?
A. 6 ⅛ fl oz
B. 24 ½ fl oz
C. 49 fl oz
D. 98 fl oz
Answers
Answer:
D
Step-by-step explanation:
I looked it up your welcome
Which is the larger value: 2 x 10^6 or 9 x 10^5?
Explain how you know.
Answers
Answer:
2 x 10^6
Step-by-step explanation:
10^6 = 1,000,000
2 x 1,000,000 = 2,000,000
10^5 = 100,000
9 x 100,000 = 900,000
2,000,000 > 900,000
f(x) = 3 and g(x) = -2x + 5
Find f(x) * g(x)
Answers
Answer: -6x + 15
Step-by-step explanation:
f (x) = 3
g (x) = -2x + 5
3 (-2x+5)
= -6x +15
I'll mark you brainliest if your correct
Answers
Answer:
The answer is 7
Step-by-step explanation:
on the graph number 6 is spun at 7
ѕєє thє híght σf вαr αt 6!! whαt'ѕ thє hєíght? σвvíσuѕlч ít'ѕ 7
í hσpє чσu gєt ít :)
Solve the system below.
y= -3/4x-4
2y-2=x
Answers
AHahahaahhahhah please please help no links please
Answers
Answer:
45
The scale factor is 9
So, 5 x 9 = 45
Do you see a trend on this scatter plot ?
Answers
What is the value of x?
Answers
Answer:
The answer is 25.1 or just 25 which ever way they are asking for it
Step-by-step explanation:
Hope that helps
FYI you just need to use the Pythagorean theorem to solve this
A^2 + B^2 = C^2
Arc CD is [tex]\frac{2}{3}[/tex] of the circumference of a circle. What is the radian measure of the central angle?
a.) [tex]\frac{2\pi}{3}[/tex]
b.) [tex]\frac{3\pi}{4[/tex]
c.) [tex]\frac{4\pi }{3}[/tex]
d.) [tex]\frac{3\pi}{2}[/tex]
Answers
Answer:
b
Step-by-step explanation:
Johanna used tiles to build a rectangular array with an area of 54 W. All the possible dimensions of the array
Answers
Answer:
4
Step-by-step explanation:
To Obtian the possible dimensions of the array :
List out the factirs of 54 and use a pair of each in multiplication to obtain 54 ; Theb number of multiplication pairs obtained is the number of possible dimensions of the array :
Factors of 54 : 1, 2, 3, 6, 9, 18, 27, 54
Muliplication pairs :
(6 * 9) = 54
(18 * 3) = 54
(27 * 2) = 54
(54 * 1) = 54
Hence, there are 4 possible dimensions of the array
help me??? lol i dont get this
Answers
Answer: 200 in squared
Step-by-step explanation:
Each of the triangles in this picture are the same. You can tell because it's a square, and because of the dotted line.
Take the white triangle and substitute it for one of the black ones. Now, you have this.
Now, just do 10 * 20
= 200
Find the area of each sector. Use exact answers
Answers
Answer:
A) 30π mi²
Step-by-step explanation:
area of full circle = πr² = (3.14)(6²) = 113.04 mi²
area of 5π/3 segment = (113.04)(5π/3)/2π) = 94.2 mi² = 30π mi²
Tom has a 15 pounds bag of cat food. If he feeds his cat 1/4 pound
of food each day. How many days will the 15 pound bag of
cat food last? Show your thinking.
Answers
Answer:
it will take his cat 60 days to finish the entire bag
Step-by-step explanation:
In a promotion at a store, each customer gets a chance to randomly draw a ticket from a box. There are 100 tickets. 20 tickets say "winner" and 80 tickets say "sorry, try again". Assume two customers play and that the ticket is not replaced after the first customer plays.
A) What is the probability that the second customer wins, given that the first customer wins?
B) What is the probability that the second customer loses, given that the first customer wins?
C) What is the probability that the second customer wins, given that the first customer loses?
Answers
Answer:
It's B
Step-by-step explanation:
Evaluate the expression:6+3/2
Answers
Answer:
7.5
3/2 = 1.5
6 + 1.5 = 7.5
Step-by-step explanation:
pemdas
Two sailboats leave the same harbour in different directions. Sailboat 1 travels due north for 10 km. Sailboat 2 travel ahead 60 degrees east of North for 8 kilometres how far are the sailboats from one another at their current locations.
Answers
Answer:
I am filipino culture :))
8x-10=x^2+5 solve using quadratic
Answers
x = 5 , 3
two solutions
Answer:
x=5,3
Step-by-step explanation:
If Debbie starts a retirement account with $100 that has an annual rate of return of 8%, how long (in years) would it take for her to
have at least $100,000 if interest is compounded continuously?
A) 1 year
B) 8 years
C) 87 years
D) 90 years
Answers
Answer:
C.) 87 years
Step-by-step explanation:
I've taken the test! Hope this helps! ;)
The number of years for her to have at least $100,000 if interest is compounded continuously is 90
How to determine the number of years?The given parameters are:
Amount, A = 100,000
Principal, P = 100
Rate, r = 8%
Amount is calculated using:
A = P * (1 + r)^t
So, we have:
100000 = 100 * (1 + 8%)^t
Divide by 100
1000 = (1 + 8%)^t
Evaluate the sum
1000 = 1.08^t
Take the logarithm of both sides
log(1000) = log(1.08)^t
Apply the law of logarithm
log(1000) = tlog(1.08)
Solve for t
t = log(1000)/log(1.08)
Divide
t = 89.7
Approximate
t = 90
Hence, the number of years is 90
Read more about compound interest at:
https://brainly.com/question/2455673
Marco is interviewing classmates for his newspaper article. He needs to interview 30 people. Every interview takes Marco 7.2 minutes to complete. Last week Marco completed 40% of the interviews needed. How many people did Marco interview last week?
Answers
Answer:
12
Step-by-step explanation:
This is just looking for 40% of 30 people, so 30 * 0.4 should give you the answer, 12 people.
for brainiest in 2 minutes
Answers
Answer:
$24 is the selling price NOT INCLUDING TAX (if they want you to add tax)
I NEED HELP PLEASE THANK YOU The table gives average annual salaries for four jobs. Based on this information, how much more money would a store manager earn than a painter over 10 years? O $33 600 0 $184.100 O S297.000 o $481.100
Answers
Answer:
Divide annual salary minus extra compensation by the number of hours worked per year. For example, if your annual salary minus bonuses, tips and commissions is $30,000 and you work 2080 hours per year, your base salary is approximately $14.42 an hour.
Answer:
297,000 good luck :))!!!
The difference of a number b and 8 is 15
Answers
can u show me a shorter verison
11. Angela is using several cones to decorate for a party. The cones she has
chosen are 8 inches tall and have a radius of 3 inches. What is the volume of
one of the cones to the nearest whole cubic inch?
Answers
Answer:
[tex]75.4 in^3[/tex]
Step-by-step explanation:
First start with your cone volume equation which is
[tex]V=\pi r^2\frac{h}{3}[/tex]
Now plug in what you know
r=3
h=8
[tex]V=\pi (3)^2(\frac{8}{3})[/tex]
put in calculator and get
[tex]75.4 in^3[/tex]
PLEASE HELP!
NO LINKS!
I only need help on letter d!!
Answers
pls help 209572.999129 round to the nearest cent
Answers
Answer:
$209,573.00
Step-by-step explanation:
when rounding to a place, you only need to look at the numbers one place beyond the place you are rounding to. For example, if you want to round 0.878 to the nearest tenth, you only need to look at 0.87, since both 0.87 and 0.878 round to 0.9. In this case, you are rounding to the nearest hundredth because one cent represents one hundredth of a dollar. You only need to look at 209572.999. Since the last digit is 9, which is greater than 5, you round up to 209573.00.
hope this helps please lmk if its wrong :)
The Alps in Europe are an example of folded mountains. How do folded mountains form? O A. Magma rises to Earth's surface at a plate boundary. O B. Continental plates slip past each other. O O C. A block of crust tilts between two faults. о O D. Crust buckles due to pressure of colliding plates.
help plz
Answers
Answer:
its D
Step-by-step explanation:
